Rotary maps (on orientable or non-orientable surfaces) with up to 1000 edges ............................................................................ Below is a complete list of all rotary maps (on orientable or non-orientable surfaces) having at most 1000 edges. The fully regular maps (with flag-transitive automorphism group) are listed up to isomorphism and transformation under the six "Wilson" operators I, D, P, Opp, DP and PD, where I is the identity, D is duality, P is Petrie duality, and Opp is the "opposite" operator (which equals PDP and DPD). The chiral maps (which have maximum possible symmetry without any reflections) are listed up to isomorphism, mirror image, and duality. The list is ordered first by the number of edges, and then for each such number, the fully regular maps and then the chiral maps are listed by the type {p,q}_r where p is the face-size, q is the valency and r is the length of a Petrie polygon. Each entry in the list indicates also the genus of the map, and gives the order of its automorphism group and a presentation for the automorphism group in terms of the standard generators. For the fully regular maps, the standard generators a, b and c always satisfy the relations a^2 = b^2 = c^2 = (ac)^2 = (ab)^p = (bc)^q = (abc)^r = 1, among others. The above are defining relations for the Coxeter group G^{p,q,r}. If the map is not isomorphic to its image under one (or more) of the Wilson operators, then a short list is given of the Wilson operators needed to obtain all of those possible images. Note that each of those operators fixes the generator b, and permutes the three elements a, c and ac, as follows: * Duality D interchanges a with c and fixes ac * Petrie duality P interchanges a with ac and fixes c * The opposite transform Opp interchanges c with ac and fixes a * The triality operator DP induces the 3-cycle (a, ac, c) on {a,c,ac} * The inverse triality operator PD induces the 3-cycle (a, c, ac) on {a,c,ac}. For the chiral maps, the standard generators X and Y always satisfy the relations for the ordinary (p,q,2) triangle group, namely X^p = Y^q = (XY)^2 = 1, and then * The dual can be obtained by taking (X,Y) to (Y,X) * The mirror image can be obtained by taking (X,Y) to (X^{-1},Y^{-1}) * The mirror-dual can be obtained by taking (X,Y) to (Y^{-1},X^{-1}). This list was created by finding and analysing all normal subgroups of index up to 2000 in the relevant ordinary triangle groups and up to 4000 in the relevant full triangle groups, with the help of the MAGMA system. Among these, the fully regular maps with up to 640 edges have been used by Primoz Potocnik, Pablo Spiga and Gabriel Verret to help them determine all vertex-transitive cubic graphs on up to 1280 vertices. Separate sub-lists of the fully regular and the chiral maps are also given on my website http://www.math.auckland.ac.nz/~conder/ . Marston Conder December 2012 ........................ Rotary maps with 2 edges ........................ Orientable map of genus 0 and type {2,2}_2 invariant under all six Wilson transforms Automorphism group of order 8 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^2 ] Non-orientable map of genus 1 and type {2,4}_4 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 8 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, c*b*a*c*b ] ........................ Rotary maps with 3 edges ........................ Orientable map of genus 0 and type {2,3}_6 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 12 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^3 ] ........................ Rotary maps with 4 edges ........................ Orientable map of genus 0 and type {2,4}_4 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 16 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^4 ] Non-orientable map of genus 1 and type {2,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 16 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, c*b*c*b*a*c*b*c*b ] ........................ Rotary maps with 5 edges ........................ Orientable map of genus 0 and type {2,5}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 20 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^5 ] ........................ Rotary maps with 6 edges ........................ Orientable map of genus 0 and type {2,6}_6 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 24 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^6 ] Non-orientable map of genus 1 and type {2,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 24 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*a*b*c*b*c*b*c ] Orientable map of genus 0 and type {3,3}_4 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 24 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (c*b)^3 ] ........................ Rotary maps with 7 edges ........................ Orientable map of genus 0 and type {2,7}_14 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 28 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^7 ] ........................ Rotary maps with 8 edges ........................ Orientable map of genus 0 and type {2,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 32 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^8 ] Non-orientable map of genus 1 and type {2,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 32 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c ] Orientable map of genus 1 and type {4,4}_4 invariant under all six Wilson transforms Automorphism group of order 32 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^4 ] Orientable map of genus 2 and type {4,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 32 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, c*b*c*a*b*a*c*b*c*b ] ........................ Rotary maps with 9 edges ........................ Orientable map of genus 0 and type {2,9}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 36 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^9 ] Orientable map of genus 1 and type {3,6}_6 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 36 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, c*a*b*c*b*a*c*b*c*b ] ......................... Rotary maps with 10 edges ......................... Orientable map of genus 0 and type {2,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 40 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^10 ] Non-orientable map of genus 1 and type {2,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 40 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_10 isomorphic to its dual Automorphism group of order 20 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y^-2*X^2*Y ] ......................... Rotary maps with 11 edges ......................... Orientable map of genus 0 and type {2,11}_22 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 44 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^11 ] ......................... Rotary maps with 12 edges ......................... Orientable map of genus 0 and type {2,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 48 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^12 ] Non-orientable map of genus 1 and type {2,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 48 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 0 and type {3,4}_6 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 48 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^4 ] Non-orientable map of genus 4 and type {4,6}_6 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 48 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^6 ] Orientable map of genus 2 and type {4,6}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 48 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^6 ] ......................... Rotary maps with 13 edges ......................... Orientable map of genus 0 and type {2,13}_26 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 52 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^13 ] ......................... Rotary maps with 14 edges ......................... Orientable map of genus 0 and type {2,14}_14 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 56 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^14 ] Non-orientable map of genus 1 and type {2,28}_28 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 56 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] ......................... Rotary maps with 15 edges ......................... Orientable map of genus 0 and type {2,15}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 60 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^15 ] Non-orientable map of genus 1 and type {3,5}_5 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 60 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (c*b)^5, c*a*b*c*a*b*c*a*b*a*c*b*a*c*b ] Non-orientable map of genus 9 and type {6,10}_15 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 60 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*a*b*c*a*b*a*c*b*c*b*c*b ] ......................... Rotary maps with 16 edges ......................... Orientable map of genus 0 and type {2,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 64 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^16 ] Non-orientable map of genus 1 and type {2,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 64 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 1 and type {4,4}_4 invariant under all six Wilson transforms Automorphism group of order 64 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^4, c*a*b*c*a*b*a*c*b*a*c*b ] Orientable map of genus 3 and type {4,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 64 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*c*b*c*b ] Orientable map of genus 3 and type {4,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 64 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^8 ] Orientable map of genus 4 and type {4,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 64 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, c*b*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b ] ......................... Rotary maps with 17 edges ......................... Orientable map of genus 0 and type {2,17}_34 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 68 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^17 ] ......................... Rotary maps with 18 edges ......................... Orientable map of genus 0 and type {2,18}_18 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 72 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^18 ] Non-orientable map of genus 1 and type {2,36}_36 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 72 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 1 and type {4,4}_6 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 72 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^4, (c*b*a*b)^3 ] Non-orientable map of genus 7 and type {4,9}_9 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 72 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^9 ] Orientable map of genus 4 and type {6,6}_6 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 72 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*c*b*c*b, (a*b)^6, (a*b*c*b*a*b)^2 ] ......................... Rotary maps with 19 edges ......................... Orientable map of genus 0 and type {2,19}_38 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 76 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^19 ] ......................... Rotary maps with 20 edges ......................... Orientable map of genus 0 and type {2,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 80 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^20 ] Non-orientable map of genus 1 and type {2,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 80 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 4 and type {4,10}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 80 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^10 ] Chiral map of genus 1 and type {4,4}_10 isomorphic to its dual Automorphism group of order 40 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X^-2*Y^2*X ] ......................... Rotary maps with 21 edges ......................... Orientable map of genus 0 and type {2,21}_42 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 84 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^21 ] Non-orientable map of genus 13 and type {6,14}_21 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 84 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b ] Chiral map of genus 1 and type {3,6}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 42 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X*Y^-2*X^-1*Y^2*X^-1*Y ] ......................... Rotary maps with 22 edges ......................... Orientable map of genus 0 and type {2,22}_22 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 88 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^22 ] Non-orientable map of genus 1 and type {2,44}_44 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 88 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] ......................... Rotary maps with 23 edges ......................... Orientable map of genus 0 and type {2,23}_46 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 92 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^23 ] ......................... Rotary maps with 24 edges ......................... Orientable map of genus 0 and type {2,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 96 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^24 ] Non-orientable map of genus 1 and type {2,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 96 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 2 and type {3,8}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 96 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, b*c*a*b*c*b*c*b*a*b*c*b*c*b*a*c ] Orientable map of genus 3 and type {4,6}_6 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 96 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (b*c)^6 ] Orientable map of genus 5 and type {4,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 96 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^12 ] Non-orientable map of genus 10 and type {4,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 96 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, b*c*a*b*c*a*b*a*c*b*c*b*c*b*c ] Non-orientable map of genus 10 and type {4,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 96 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^12 ] Orientable map of genus 6 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 96 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 6 and type {6,8}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 96 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*a*b*a*b*a*c*b*c*b*c ] Orientable map of genus 6 and type {6,8}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 96 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^8 ] Orientable map of genus 8 and type {8,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 96 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c ] ......................... Rotary maps with 25 edges ......................... Orientable map of genus 0 and type {2,25}_50 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 100 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^25 ] Orientable map of genus 6 and type {5,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 100 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, c*a*b*c*b*a*c*b*c*b ] ......................... Rotary maps with 26 edges ......................... Orientable map of genus 0 and type {2,26}_26 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 104 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^26 ] Non-orientable map of genus 1 and type {2,52}_52 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 104 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_26 isomorphic to its dual Automorphism group of order 52 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X^-2*Y^-2*X^2*Y^2*X ] ......................... Rotary maps with 27 edges ......................... Orientable map of genus 0 and type {2,27}_54 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 108 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^27 ] Orientable map of genus 1 and type {3,6}_6 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 108 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^6, c*a*b*c*a*b*c*b*a*b*c*b*a*c*b*a*c*b ] Orientable map of genus 7 and type {6,9}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 108 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (c*b)^9 ] Chiral map of genus 7 and type {6,9}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 54 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y*X^-3*Y^-1*X*Y ] ......................... Rotary maps with 28 edges ......................... Orientable map of genus 0 and type {2,28}_28 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 112 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^28 ] Non-orientable map of genus 1 and type {2,56}_56 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 112 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 6 and type {4,14}_28 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 112 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^14 ] Chiral map of genus 7 and type {7,7}_4 isomorphic to its mirror-dual Automorphism group of order 56 with defining relations: [ (X*Y)^2, X^-7, Y*X^-3*Y^2*X^-1 ] ......................... Rotary maps with 29 edges ......................... Orientable map of genus 0 and type {2,29}_58 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 116 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^29 ] ......................... Rotary maps with 30 edges ......................... Orientable map of genus 0 and type {2,30}_30 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 120 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^30 ] Non-orientable map of genus 1 and type {2,60}_60 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 120 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 0 and type {3,5}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 120 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (c*b)^5 ] Non-orientable map of genus 6 and type {3,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 120 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b ] Non-orientable map of genus 5 and type {4,5}_6 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 120 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (c*b)^5, a*b*c*b*a*b*a*c*b*a*b*c*b ] Non-orientable map of genus 13 and type {4,15}_15 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 120 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^15 ] Orientable map of genus 4 and type {5,5}_6 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 120 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (c*b)^5, (c*b*a*b)^3 ] Non-orientable map of genus 10 and type {5,6}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 120 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (a*b*c*b*c*b)^2, b*a*b*c*b*a*b*a*c*b*a*c*b*a*c ] Non-orientable map of genus 12 and type {6,6}_6 invariant under all six Wilson transforms Automorphism group of order 120 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, c*b*a*b*a*b*a*c*b*a*b*a*b, a*b*c*b*c*b*a*b*c*b*c*b*c ] Non-orientable map of genus 16 and type {6,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 120 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, c*b*c*a*b*a*b*a*c*b*c*b*c*b, b*c*a*b*c*a*b*a*c*b*c*b*a*b*c ] Orientable map of genus 8 and type {6,10}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 120 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^10 ] Chiral map of genus 11 and type {12,12}_10 isomorphic to its dual Automorphism group of order 60 with defining relations: [ (X*Y)^2, X*Y^-1*X^2*Y^-2 ] ......................... Rotary maps with 31 edges ......................... Orientable map of genus 0 and type {2,31}_62 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 124 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^31 ] ......................... Rotary maps with 32 edges ......................... Orientable map of genus 0 and type {2,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 128 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^32 ] Non-orientable map of genus 1 and type {2,64}_64 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 128 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 1 and type {4,4}_8 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 128 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^4, (a*b*c*b)^4 ] Orientable map of genus 5 and type {4,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 128 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^8 ] Orientable map of genus 7 and type {4,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 128 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b ] Orientable map of genus 7 and type {4,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 128 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^16 ] Orientable map of genus 8 and type {4,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 128 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 9 and type {8,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 128 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*c*b*c*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2 ] Orientable map of genus 9 and type {8,8}_8 invariant under all six Wilson transforms Automorphism group of order 128 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*a*b*a*b*a*c*b*a*c*b*c ] Orientable map of genus 9 and type {8,8}_8 invariant under all six Wilson transforms Automorphism group of order 128 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*c*b*c*b*c*b, c*a*b*c*b*a*b*a*b*c*b*a*c*b ] Orientable map of genus 11 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 128 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c ] ......................... Rotary maps with 33 edges ......................... Orientable map of genus 0 and type {2,33}_66 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 132 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^33 ] Non-orientable map of genus 21 and type {6,22}_33 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 132 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*a*b*c*a*b*c*b*c*b*c*b*c*b*a*c*b ] ......................... Rotary maps with 34 edges ......................... Orientable map of genus 0 and type {2,34}_34 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 136 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^34 ] Non-orientable map of genus 1 and type {2,68}_68 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 136 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_34 isomorphic to its dual Automorphism group of order 68 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y^-2*X^2*Y*X^-1*Y ] ......................... Rotary maps with 35 edges ......................... Orientable map of genus 0 and type {2,35}_70 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 140 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^35 ] Non-orientable map of genus 25 and type {10,14}_35 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 140 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*c*b ] ......................... Rotary maps with 36 edges ......................... Orientable map of genus 0 and type {2,36}_36 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 144 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^36 ] Non-orientable map of genus 1 and type {2,72}_72 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 144 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 1 and type {3,6}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 144 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^6, b*c*a*b*c*b*c*a*b*c*a^2*b*a*c*b*c*b*a*c*b*c ] Orientable map of genus 1 and type {4,4}_6 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 144 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^4, c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b ] Orientable map of genus 6 and type {4,9}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 144 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (c*b)^9 ] Non-orientable map of genus 16 and type {4,18}_18 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 144 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^18 ] Orientable map of genus 8 and type {4,18}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 144 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^18 ] Orientable map of genus 10 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 144 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^12 ] Orientable map of genus 10 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 144 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*c*b*c*b, (a*b)^6 ] Chiral map of genus 10 and type {8,8}_6 isomorphic to its dual Automorphism group of order 72 with defining relations: [ (X*Y)^2, X^8, X*Y^-1*X^3*Y*X^-1*Y^-1 ] ......................... Rotary maps with 37 edges ......................... Orientable map of genus 0 and type {2,37}_74 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 148 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^37 ] ......................... Rotary maps with 38 edges ......................... Orientable map of genus 0 and type {2,38}_38 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 152 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^38 ] Non-orientable map of genus 1 and type {2,76}_76 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 152 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] ......................... Rotary maps with 39 edges ......................... Orientable map of genus 0 and type {2,39}_78 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 156 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^39 ] Non-orientable map of genus 25 and type {6,26}_39 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 156 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 1 and type {3,6}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 78 with defining relations: [ (X*Y)^2, X^3, Y^6, X^-1*Y^2*X^-1*Y*X^-1*Y^3*X^-1*Y^2 ] ......................... Rotary maps with 40 edges ......................... Orientable map of genus 0 and type {2,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 160 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^40 ] Non-orientable map of genus 1 and type {2,80}_80 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 160 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 6 and type {4,5}_5 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 160 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (c*b)^5, b*c*a*b*c*a*b*a*c*b*a*c*b*a*c ] Orientable map of genus 9 and type {4,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 160 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^20 ] Orientable map of genus 10 and type {4,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 160 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 12 and type {8,10}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 160 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^10 ] Orientable map of genus 14 and type {8,20}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 160 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, c*a*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*a*c*b ] Chiral map of genus 1 and type {4,4}_20 isomorphic to its dual Automorphism group of order 80 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y^-2*X^-2*Y^2*X^2*Y ] Chiral map of genus 11 and type {8,8}_10 isomorphic to its dual Automorphism group of order 80 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^4*Y^-3, X*Y^-2*X^2*Y^-1*X*Y^-1 ] Chiral map of genus 11 and type {8,8}_20 isomorphic to its dual Automorphism group of order 80 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1 ] ......................... Rotary maps with 41 edges ......................... Orientable map of genus 0 and type {2,41}_82 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 164 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^41 ] ......................... Rotary maps with 42 edges ......................... Orientable map of genus 0 and type {2,42}_42 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 168 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^42 ] Non-orientable map of genus 1 and type {2,84}_84 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 168 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 19 and type {4,21}_21 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 168 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^21 ] Orientable map of genus 12 and type {6,14}_42 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 168 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^14 ] Chiral map of genus 8 and type {6,6}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 84 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y*X*Y^-1*X^-3*Y^-1*X^2*Y ] ......................... Rotary maps with 43 edges ......................... Orientable map of genus 0 and type {2,43}_86 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 172 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^43 ] ......................... Rotary maps with 44 edges ......................... Orientable map of genus 0 and type {2,44}_44 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 176 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^44 ] Non-orientable map of genus 1 and type {2,88}_88 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 176 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 10 and type {4,22}_44 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 176 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^22 ] ......................... Rotary maps with 45 edges ......................... Orientable map of genus 0 and type {2,45}_90 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 180 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^45 ] Orientable map of genus 13 and type {6,15}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 180 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (c*b)^15 ] Non-orientable map of genus 33 and type {10,18}_45 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 180 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*a*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] ......................... Rotary maps with 46 edges ......................... Orientable map of genus 0 and type {2,46}_46 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 184 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^46 ] Non-orientable map of genus 1 and type {2,92}_92 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 184 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] ......................... Rotary maps with 47 edges ......................... Orientable map of genus 0 and type {2,47}_94 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 188 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^47 ] ......................... Rotary maps with 48 edges ......................... Orientable map of genus 0 and type {2,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 192 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^48 ] Non-orientable map of genus 1 and type {2,96}_96 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 192 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 1 and type {3,6}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 192 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^6, c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b ] Non-orientable map of genus 10 and type {4,6}_6 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 192 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b ] Orientable map of genus 5 and type {4,6}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 192 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b ] Orientable map of genus 9 and type {4,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 192 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^12 ] Orientable map of genus 9 and type {4,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 192 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (b*c)^12 ] Orientable map of genus 11 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 192 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 11 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 192 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^24 ] Non-orientable map of genus 22 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 192 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 22 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 192 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^24 ] Orientable map of genus 12 and type {4,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 192 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 9 and type {6,6}_8 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 192 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, c*a*b*c*b*a*b*a*c*b*a*b*c*b ] Orientable map of genus 11 and type {6,8}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 192 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b ] Orientable map of genus 14 and type {6,16}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 192 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^16 ] Orientable map of genus 15 and type {8,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 192 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*a*b*a*b*a*c*b*c*b*a*b, c*a*b*c*b*c*b*a*c*b*c*b*c*b ] Orientable map of genus 15 and type {8,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 192 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^12 ] Orientable map of genus 15 and type {8,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 192 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^8, (b*c)^12 ] Non-orientable map of genus 34 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 192 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, b*c*a*b*c*a*b*a*c*b*c*b*c*b*c ] Non-orientable map of genus 34 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 192 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b ] Orientable map of genus 18 and type {12,16}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 192 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c ] ......................... Rotary maps with 49 edges ......................... Orientable map of genus 0 and type {2,49}_98 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 196 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^49 ] Orientable map of genus 15 and type {7,14}_14 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 196 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*c*b*c*b, (b*a)^7 ] ......................... Rotary maps with 50 edges ......................... Orientable map of genus 0 and type {2,50}_50 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 200 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^50 ] Non-orientable map of genus 1 and type {2,100}_100 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 200 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 1 and type {4,4}_10 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^4, (c*b*a*b)^5 ] Orientable map of genus 16 and type {10,10}_10 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^10, (b*c)^10 ] Chiral map of genus 1 and type {4,4}_50 isomorphic to its dual Automorphism group of order 100 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^-1 ] Chiral map of genus 21 and type {20,20}_10 isomorphic to its dual Automorphism group of order 100 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^6*Y^-2*X*Y^-1 ] ......................... Rotary maps with 51 edges ......................... Orientable map of genus 0 and type {2,51}_102 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 204 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^51 ] Non-orientable map of genus 33 and type {6,34}_51 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 204 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] ......................... Rotary maps with 52 edges ......................... Orientable map of genus 0 and type {2,52}_52 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 208 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^52 ] Non-orientable map of genus 1 and type {2,104}_104 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 208 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 12 and type {4,26}_52 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 208 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^26 ] Chiral map of genus 1 and type {4,4}_26 isomorphic to its dual Automorphism group of order 104 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^-1*X ] ......................... Rotary maps with 53 edges ......................... Orientable map of genus 0 and type {2,53}_106 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 212 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^53 ] ......................... Rotary maps with 54 edges ......................... Orientable map of genus 0 and type {2,54}_54 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 216 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^54 ] Non-orientable map of genus 1 and type {2,108}_108 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 216 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 11 and type {4,6}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 216 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, a*b*c*b*a*b*a*c*b*a*b*c*b ] Non-orientable map of genus 25 and type {4,27}_27 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 216 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^27 ] Orientable map of genus 10 and type {6,6}_6 invariant under all six Wilson transforms Automorphism group of order 216 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, c*a*b*c*b*a*b*a*c*b*c*b*a*b ] Orientable map of genus 10 and type {6,6}_6 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 216 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (b*c)^6, c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b ] Non-orientable map of genus 29 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 216 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*a*b*a*c*b*a*c*b*a, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b ] Non-orientable map of genus 29 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 216 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*b*a*b*a*b*a*c*b*a*b*a*b, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b ] Orientable map of genus 16 and type {6,18}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 216 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^18 ] Chiral map of genus 16 and type {6,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 108 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^-2*Y^-4 ] ......................... Rotary maps with 55 edges ......................... Orientable map of genus 0 and type {2,55}_110 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 220 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^55 ] Non-orientable map of genus 41 and type {10,22}_55 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 220 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, b*c*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c ] Chiral map of genus 12 and type {5,10}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 110 with defining relations: [ (X*Y)^2, X^5, Y^-1*X*Y^-1*X^-2*Y^-4 ] Chiral map of genus 12 and type {5,10}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 110 with defining relations: [ (X*Y)^2, X^5, Y*X^-1*Y*X^2*Y^-1*X*Y ] ......................... Rotary maps with 56 edges ......................... Orientable map of genus 0 and type {2,56}_56 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 224 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^56 ] Non-orientable map of genus 1 and type {2,112}_112 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 224 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 13 and type {4,28}_28 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 224 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^28 ] Orientable map of genus 14 and type {4,56}_56 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 224 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 18 and type {8,14}_56 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 224 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^14 ] Orientable map of genus 20 and type {8,28}_56 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 224 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c ] Chiral map of genus 17 and type {7,14}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 112 with defining relations: [ (X*Y)^2, X^-7, X^-1*Y*X^-2*Y^3 ] Chiral map of genus 21 and type {14,14}_4 isomorphic to its mirror-dual Automorphism group of order 112 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^3*Y^-1*X^8*Y^-2 ] ......................... Rotary maps with 57 edges ......................... Orientable map of genus 0 and type {2,57}_114 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 228 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^57 ] Non-orientable map of genus 37 and type {6,38}_57 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 228 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 1 and type {3,6}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 114 with defining relations: [ (X*Y)^2, X^3, Y^6, X^-1*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X^-1*Y ] ......................... Rotary maps with 58 edges ......................... Orientable map of genus 0 and type {2,58}_58 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 232 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^58 ] Non-orientable map of genus 1 and type {2,116}_116 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 232 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_58 isomorphic to its dual Automorphism group of order 116 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^2*Y^2*X^-1 ] ......................... Rotary maps with 59 edges ......................... Orientable map of genus 0 and type {2,59}_118 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 236 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^59 ] ......................... Rotary maps with 60 edges ......................... Orientable map of genus 0 and type {2,60}_60 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 240 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^60 ] Non-orientable map of genus 1 and type {2,120}_120 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 240 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 5 and type {3,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 240 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, c*a*b*c*b*c*b*c*b*a*b*c*b*c*b*c*b*a*c*b ] Orientable map of genus 4 and type {4,5}_6 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 240 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (c*b)^5, c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b ] Non-orientable map of genus 12 and type {4,6}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 240 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, a*b*c*b*c*b*a*b*a*c*b*c*b*a*c*b*c ] Orientable map of genus 6 and type {4,6}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 240 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (c*b*a*b)^3, (b*c)^6 ] Orientable map of genus 12 and type {4,15}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 240 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (c*b)^15 ] Non-orientable map of genus 28 and type {4,30}_30 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 240 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^30 ] Orientable map of genus 14 and type {4,30}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 240 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^30 ] Orientable map of genus 9 and type {5,6}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 240 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (a*b*c*b*c*b)^2 ] Non-orientable map of genus 22 and type {6,6}_6 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 240 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, a*b*c*b*c*b*a*b*c*b*c*b*c ] Non-orientable map of genus 30 and type {6,10}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 240 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, b*c*a*b*c*a*b*a*c*b*c*b*a*b*c ] Non-orientable map of genus 30 and type {6,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 240 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, a*b*c*b*c*b*a*b*a*c*b*a*c*b*c*b*c ] Non-orientable map of genus 30 and type {6,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 240 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b ] Orientable map of genus 17 and type {6,15}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 240 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, b*c*a*b*c*b*a*b*a*b*c*b*a*c*b*c ] Orientable map of genus 18 and type {6,20}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 240 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^20 ] Orientable map of genus 20 and type {10,12}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 240 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^12 ] Orientable map of genus 23 and type {12,20}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 240 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*a*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c ] Chiral map of genus 11 and type {4,12}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 120 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y*X*Y^-2*X^-2*Y^-1*X*Y^2 ] Chiral map of genus 21 and type {12,12}_10 isomorphic to its dual Automorphism group of order 120 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^12 ] ......................... Rotary maps with 61 edges ......................... Orientable map of genus 0 and type {2,61}_122 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 244 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^61 ] ......................... Rotary maps with 62 edges ......................... Orientable map of genus 0 and type {2,62}_62 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 248 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^62 ] Non-orientable map of genus 1 and type {2,124}_124 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 248 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] ......................... Rotary maps with 63 edges ......................... Orientable map of genus 0 and type {2,63}_126 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 252 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^63 ] Orientable map of genus 19 and type {6,21}_42 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 252 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (c*b)^21 ] Non-orientable map of genus 49 and type {14,18}_63 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 252 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, c*b*c*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b ] Chiral map of genus 1 and type {3,6}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 126 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^3*X*Y^-1 ] Chiral map of genus 22 and type {9,18}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 126 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, X^-9, Y^2*X^-3*Y^4, Y^2*X^-1*Y*X^-1*Y^3*X^-1 ] ......................... Rotary maps with 64 edges ......................... Orientable map of genus 0 and type {2,64}_64 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 256 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^64 ] Non-orientable map of genus 1 and type {2,128}_128 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 256 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 1 and type {4,4}_8 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 256 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^4, c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b ] Orientable map of genus 9 and type {4,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 256 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^8 ] Orientable map of genus 9 and type {4,8}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 256 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^8, b*a*b*c*b*a*b*c*b*a*c*b*c*b*a*c*b*c ] Orientable map of genus 13 and type {4,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 256 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 13 and type {4,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 256 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^16 ] Orientable map of genus 15 and type {4,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 256 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 15 and type {4,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 256 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^32 ] Orientable map of genus 16 and type {4,64}_64 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 256 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 17 and type {8,8}_8 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 256 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*b*c*b*a*c*b, (a*b)^8, (a*b*c*b)^4 ] Orientable map of genus 17 and type {8,8}_8 invariant under all six Wilson transforms Automorphism group of order 256 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^8 ] Orientable map of genus 17 and type {8,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 256 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (b*c)^8, b*a*b*c*b*a*b*a*b*a*c*b*c*b*a*c*b*a ] Orientable map of genus 21 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 256 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, a*b*a*b*c*b*a*b*a*b*c*b*c*b*c*b ] Orientable map of genus 21 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 256 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^16 ] Orientable map of genus 21 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 256 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b ] Orientable map of genus 21 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 256 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*c*b*c*b, (a*b)^8 ] Orientable map of genus 21 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 256 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*c*b*c*a*b*c*b*a*c*b*a*c*b*c*b*a*c*b ] Orientable map of genus 21 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 256 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 23 and type {8,32}_32 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 256 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 25 and type {16,16}_8 isomorphic to its dual Automorphism group of order 128 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, Y^-2*X^3*Y*X^-1*Y^-1 ] ......................... Rotary maps with 65 edges ......................... Orientable map of genus 0 and type {2,65}_130 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 260 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^65 ] Non-orientable map of genus 49 and type {10,26}_65 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 260 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b ] ......................... Rotary maps with 66 edges ......................... Orientable map of genus 0 and type {2,66}_66 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 264 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^66 ] Non-orientable map of genus 1 and type {2,132}_132 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 264 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 31 and type {4,33}_33 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 264 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^33 ] Orientable map of genus 20 and type {6,22}_66 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 264 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^22 ] ......................... Rotary maps with 67 edges ......................... Orientable map of genus 0 and type {2,67}_134 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 268 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^67 ] ......................... Rotary maps with 68 edges ......................... Orientable map of genus 0 and type {2,68}_68 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 272 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^68 ] Non-orientable map of genus 1 and type {2,136}_136 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 272 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 16 and type {4,34}_68 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 272 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^34 ] Chiral map of genus 1 and type {4,4}_34 isomorphic to its dual Automorphism group of order 136 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X^-2*Y^-2*X^-2*Y^2*X^2*Y^2*X ] Chiral map of genus 18 and type {8,8}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 136 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^4*Y*X^-1*Y^-1 ] ......................... Rotary maps with 69 edges ......................... Orientable map of genus 0 and type {2,69}_138 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 276 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^69 ] Non-orientable map of genus 45 and type {6,46}_69 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 276 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] ......................... Rotary maps with 70 edges ......................... Orientable map of genus 0 and type {2,70}_70 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 280 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^70 ] Non-orientable map of genus 1 and type {2,140}_140 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 280 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 24 and type {10,14}_70 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^14 ] Chiral map of genus 31 and type {28,28}_10 isomorphic to its dual Automorphism group of order 140 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^2*Y^-2*X^9*Y^-1 ] ......................... Rotary maps with 71 edges ......................... Orientable map of genus 0 and type {2,71}_142 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 284 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^71 ] ......................... Rotary maps with 72 edges ......................... Orientable map of genus 0 and type {2,72}_72 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^72 ] Non-orientable map of genus 1 and type {2,144}_144 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 7 and type {3,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, b*c*a*b*c*a*b*c*a*b*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 1 and type {4,4}_12 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^4, (a*b*c*b)^6 ] Orientable map of genus 15 and type {4,18}_18 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (b*c)^18 ] Orientable map of genus 17 and type {4,36}_36 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^36 ] Non-orientable map of genus 34 and type {4,36}_36 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 34 and type {4,36}_36 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^36 ] Orientable map of genus 18 and type {4,72}_72 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 13 and type {6,6}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, (b*c)^6, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b ] Orientable map of genus 16 and type {6,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (b*c)^8 ] Orientable map of genus 19 and type {6,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, b*c*b*c*a*b*a*b*a*c*b*c*b*c*b*c, c*b*a*b*c*b*c*b*c*b*a*b*c*b*a*c*b*c*b*a*c*b ] Orientable map of genus 22 and type {6,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (b*c)^24 ] Orientable map of genus 22 and type {6,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b ] Orientable map of genus 19 and type {8,8}_12 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*c*b*c*b*c*b, (a*b)^8, c*a*b*c*a*b*c*a*b*a*b*c*b*c*b*a*b*a*c*b ] Orientable map of genus 20 and type {8,9}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (c*b)^9 ] Orientable map of genus 24 and type {8,18}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 24 and type {8,18}_72 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^18 ] Orientable map of genus 26 and type {8,36}_72 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 25 and type {12,12}_12 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^12 ] Orientable map of genus 28 and type {12,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^12, b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c ] Orientable map of genus 28 and type {12,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 288 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*a*b*a*b*a*b*a*b*a*c*b*a*c*b*c*b*c ] Chiral map of genus 10 and type {4,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 144 with defining relations: [ (X*Y)^2, X^4, Y^8, Y*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y^2 ] Chiral map of genus 19 and type {8,8}_6 isomorphic to its dual Automorphism group of order 144 with defining relations: [ (X*Y)^2, X^8, Y^-2*X^3*Y^-1*X*Y^-1 ] ......................... Rotary maps with 73 edges ......................... Orientable map of genus 0 and type {2,73}_146 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 292 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^73 ] ......................... Rotary maps with 74 edges ......................... Orientable map of genus 0 and type {2,74}_74 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 296 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^74 ] Non-orientable map of genus 1 and type {2,148}_148 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 296 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_74 isomorphic to its dual Automorphism group of order 148 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^-1*X*Y^-1 ] ......................... Rotary maps with 75 edges ......................... Orientable map of genus 0 and type {2,75}_150 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 300 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^75 ] Orientable map of genus 1 and type {3,6}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 300 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^6, a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Non-orientable map of genus 49 and type {6,50}_75 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 300 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 26 and type {10,15}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 300 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^10, (c*b)^15 ] ......................... Rotary maps with 76 edges ......................... Orientable map of genus 0 and type {2,76}_76 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 304 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^76 ] Non-orientable map of genus 1 and type {2,152}_152 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 304 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 18 and type {4,38}_76 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 304 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^38 ] ......................... Rotary maps with 77 edges ......................... Orientable map of genus 0 and type {2,77}_154 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 308 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^77 ] Non-orientable map of genus 61 and type {14,22}_77 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 308 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*b*c*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] ......................... Rotary maps with 78 edges ......................... Orientable map of genus 0 and type {2,78}_78 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 312 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^78 ] Non-orientable map of genus 1 and type {2,156}_156 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 312 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 37 and type {4,39}_39 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 312 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^39 ] Orientable map of genus 24 and type {6,26}_78 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 312 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^26 ] Chiral map of genus 14 and type {6,6}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 156 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y^-1*X ] Chiral map of genus 27 and type {12,12}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 156 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, X^-1*Y*X^4*Y^-1*X^2*Y^-1 ] Chiral map of genus 27 and type {12,12}_26 isomorphic to its dual Automorphism group of order 156 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^2 ] ......................... Rotary maps with 79 edges ......................... Orientable map of genus 0 and type {2,79}_158 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 316 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^79 ] ......................... Rotary maps with 80 edges ......................... Orientable map of genus 0 and type {2,80}_80 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 320 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^80 ] Non-orientable map of genus 1 and type {2,160}_160 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 320 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 5 and type {4,5}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (c*b)^5, (a*b*c*b)^4 ] Non-orientable map of genus 26 and type {4,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, b*c*a*b*c*b*a*b*c*a*b*c*b*a*c*b*a*b*c, (b*c)^10 ] Orientable map of genus 17 and type {4,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^20 ] Orientable map of genus 19 and type {4,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 19 and type {4,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^40 ] Orientable map of genus 20 and type {4,80}_80 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 9 and type {5,5}_8 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (c*b)^5, c*a*b*a*b*c*b*a*b*a*c*b*c*b*a*b*c*b ] Non-orientable map of genus 30 and type {5,8}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (a*b*c*b*c*b*c*b)^2, a*b*c*b*c*b*a*b*a*c*b*a*c*b*a*c*b ] Non-orientable map of genus 46 and type {8,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*c, b*c*a*b*c*b*a*b*a*b*c*b*a*c*b*a*c ] Orientable map of genus 27 and type {8,20}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^20 ] Orientable map of genus 27 and type {8,20}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^8, (b*c)^20 ] Orientable map of genus 28 and type {10,16}_80 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^16 ] Orientable map of genus 32 and type {16,20}_80 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_20 isomorphic to its dual Automorphism group of order 160 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^-1 ] Chiral map of genus 11 and type {4,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 160 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^8, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^2 ] Chiral map of genus 11 and type {4,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 160 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^8, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2 ] Chiral map of genus 21 and type {8,8}_20 isomorphic to its dual Automorphism group of order 160 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1 ] Chiral map of genus 21 and type {8,8}_20 isomorphic to its dual Automorphism group of order 160 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 31 and type {16,16}_10 isomorphic to its dual Automorphism group of order 160 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X*Y^-3*X^8*Y^-1*X^3 ] Chiral map of genus 31 and type {16,16}_20 isomorphic to its dual Automorphism group of order 160 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-2*X^2*Y^-1*X*Y^-1 ] ......................... Rotary maps with 81 edges ......................... Orientable map of genus 0 and type {2,81}_162 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 324 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^81 ] Orientable map of genus 1 and type {3,6}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 324 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^6, c*b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b ] Non-orientable map of genus 29 and type {6,6}_9 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 324 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, b*a*b*c*b*a*b*a*b*a*c*b*a*b*a*b*c*b*a ] Orientable map of genus 19 and type {6,9}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 324 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c, (c*b)^9 ] Orientable map of genus 19 and type {6,9}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 324 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, c*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*c*b ] Orientable map of genus 25 and type {6,27}_54 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 324 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (c*b)^27 ] Orientable map of genus 28 and type {9,18}_18 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 324 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*c*b*c*b, (b*a)^9 ] Chiral map of genus 25 and type {6,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 162 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^3*X^-2*Y*X^2*Y^5 ] Chiral map of genus 28 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 162 with defining relations: [ (X*Y)^2, X^-9, Y*X^-4*Y*X^-1*Y^2 ] ......................... Rotary maps with 82 edges ......................... Orientable map of genus 0 and type {2,82}_82 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 328 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^82 ] Non-orientable map of genus 1 and type {2,164}_164 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 328 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_82 isomorphic to its dual Automorphism group of order 164 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X ] ......................... Rotary maps with 83 edges ......................... Orientable map of genus 0 and type {2,83}_166 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 332 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^83 ] ......................... Rotary maps with 84 edges ......................... Orientable map of genus 0 and type {2,84}_84 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 336 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^84 ] Non-orientable map of genus 1 and type {2,168}_168 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 336 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 3 and type {3,7}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 336 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (c*b)^7, a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*c ] Non-orientable map of genus 9 and type {3,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 336 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^8, a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*c, c*b*c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b*c*b ] Non-orientable map of genus 16 and type {4,6}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 336 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, c*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, (b*c*b*a*b*c)^3 ] Orientable map of genus 10 and type {4,7}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 336 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (c*b*a*b)^3, (c*b)^7 ] Orientable map of genus 18 and type {4,21}_42 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 336 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (c*b)^21 ] Non-orientable map of genus 40 and type {4,42}_42 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 336 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^42 ] Orientable map of genus 20 and type {4,42}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 336 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^42 ] Non-orientable map of genus 30 and type {6,6}_8 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 336 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, a*b*c*a*b*a*b*a*c*b*a*b*a*c*b, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b ] Non-orientable map of genus 34 and type {6,7}_7 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 336 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*b*a*b*a*b*a*c*b*a*b*a*b, (c*b)^7 ] Orientable map of genus 25 and type {6,21}_28 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 336 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b ] Orientable map of genus 26 and type {6,28}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 336 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^28 ] Non-orientable map of genus 44 and type {8,8}_8 invariant under all six Wilson transforms Automorphism group of order 336 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (c*b*a*b)^3, a*b*c*a*b*a*b*a*c*b*a*b*a*c*b, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b ] Orientable map of genus 30 and type {12,14}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 336 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^14 ] Orientable map of genus 33 and type {12,28}_42 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 336 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, b*c*b*c*b*c*a*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c ] Chiral map of genus 1 and type {3,6}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 168 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X*Y^-1*X*Y ] Chiral map of genus 22 and type {6,12}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 168 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^-3*Y*X^-1*Y^-1 ] Chiral map of genus 22 and type {6,12}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 168 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, X*Y^-3*X^2*Y*X^-1*Y^-2 ] Chiral map of genus 29 and type {12,12}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 168 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^12 ] Chiral map of genus 35 and type {21,21}_4 isomorphic to its mirror-dual Automorphism group of order 168 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^3*Y^-8*X^8*Y^-2 ] ......................... Rotary maps with 85 edges ......................... Orientable map of genus 0 and type {2,85}_170 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 340 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^85 ] Non-orientable map of genus 65 and type {10,34}_85 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 340 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b ] ......................... Rotary maps with 86 edges ......................... Orientable map of genus 0 and type {2,86}_86 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 344 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^86 ] Non-orientable map of genus 1 and type {2,172}_172 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 344 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] ......................... Rotary maps with 87 edges ......................... Orientable map of genus 0 and type {2,87}_174 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 348 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^87 ] Non-orientable map of genus 57 and type {6,58}_87 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 348 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] ......................... Rotary maps with 88 edges ......................... Orientable map of genus 0 and type {2,88}_88 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 352 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^88 ] Non-orientable map of genus 1 and type {2,176}_176 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 352 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 21 and type {4,44}_44 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 352 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^44 ] Orientable map of genus 22 and type {4,88}_88 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 352 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 30 and type {8,22}_88 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 352 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^22 ] Orientable map of genus 32 and type {8,44}_88 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 352 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] ......................... Rotary maps with 89 edges ......................... Orientable map of genus 0 and type {2,89}_178 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 356 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^89 ] ......................... Rotary maps with 90 edges ......................... Orientable map of genus 0 and type {2,90}_90 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 360 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^90 ] Non-orientable map of genus 1 and type {2,180}_180 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 360 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 14 and type {3,10}_15 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 360 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, c*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*a*c*b, (b*c)^10 ] Non-orientable map of genus 43 and type {4,45}_45 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 360 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^45 ] Non-orientable map of genus 50 and type {6,15}_15 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 360 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, a*b*a*b*c*b*a*b*a*c*b*c*b*c*b*c ] Non-orientable map of genus 53 and type {6,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 360 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*a*b*a*c*b*a*c*b*a, c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 28 and type {6,30}_30 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 360 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*a*b*c*b*c*b*c*b*c*a^2*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 28 and type {6,30}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 360 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^30 ] Orientable map of genus 32 and type {10,18}_90 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 360 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^18 ] Chiral map of genus 1 and type {4,4}_30 isomorphic to its dual Automorphism group of order 180 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y*X^-1*Y ] Chiral map of genus 41 and type {36,36}_10 isomorphic to its dual Automorphism group of order 180 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y^3*X^-10*Y^2*X^-2 ] ......................... Rotary maps with 91 edges ......................... Orientable map of genus 0 and type {2,91}_182 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 364 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^91 ] Non-orientable map of genus 73 and type {14,26}_91 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 364 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c ] ......................... Rotary maps with 92 edges ......................... Orientable map of genus 0 and type {2,92}_92 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 368 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^92 ] Non-orientable map of genus 1 and type {2,184}_184 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 368 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 22 and type {4,46}_92 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 368 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^46 ] ......................... Rotary maps with 93 edges ......................... Orientable map of genus 0 and type {2,93}_186 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 372 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^93 ] Non-orientable map of genus 61 and type {6,62}_93 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 372 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 1 and type {3,6}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 186 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^-1*X*Y^3*X*Y^-1*X*Y ] ......................... Rotary maps with 94 edges ......................... Orientable map of genus 0 and type {2,94}_94 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 376 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^94 ] Non-orientable map of genus 1 and type {2,188}_188 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 376 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] ......................... Rotary maps with 95 edges ......................... Orientable map of genus 0 and type {2,95}_190 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 380 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^95 ] Non-orientable map of genus 73 and type {10,38}_95 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 380 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b ] ......................... Rotary maps with 96 edges ......................... Orientable map of genus 0 and type {2,96}_96 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^96 ] Non-orientable map of genus 1 and type {2,192}_192 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 5 and type {3,8}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^8, b*c*a*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 9 and type {4,6}_6 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, (a*b*c*b)^4, c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b ] Orientable map of genus 9 and type {4,6}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, b*c*a*b*c*a*b*c*a*b*a*b*c*b*a*c*b*c*b*a ] Orientable map of genus 17 and type {4,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, (b*c)^12 ] Non-orientable map of genus 34 and type {4,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, (a*b*c*b)^4 ] Non-orientable map of genus 34 and type {4,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, (b*c)^12 ] Orientable map of genus 17 and type {4,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^12 ] Orientable map of genus 17 and type {4,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b ] Orientable map of genus 21 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^24 ] Orientable map of genus 21 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 21 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (b*c)^24 ] Orientable map of genus 23 and type {4,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 23 and type {4,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^48 ] Non-orientable map of genus 46 and type {4,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 46 and type {4,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^48 ] Orientable map of genus 24 and type {4,96}_96 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 17 and type {6,6}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (b*c)^6, a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 17 and type {6,6}_8 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (c*b*a*b)^3, (b*c)^6, c*a*b*c*b*c*a*b*a*b*a*c*b*c*b*a*c*b*a*b ] Orientable map of genus 17 and type {6,6}_8 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, b*a*b*c*b*a*b*a*b*a*c*b*a*c*b*c*b*c ] Orientable map of genus 21 and type {6,8}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, (b*c)^8, c*a*b*c*b*a*b*a*b*a*c*b*c*b*a*b*a*b ] Orientable map of genus 21 and type {6,8}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (b*c)^8, c*a*b*c*a*b*c*a*b*a*c*b*c*b*a*b*c*b ] Orientable map of genus 21 and type {6,8}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, (a*b*c*b)^4, (b*c)^8 ] Orientable map of genus 30 and type {6,32}_96 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^32 ] Orientable map of genus 29 and type {8,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^12 ] Orientable map of genus 29 and type {8,12}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b, c*b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*c*b ] Orientable map of genus 29 and type {8,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^12 ] Orientable map of genus 29 and type {8,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*a*b*a*b*a*c*b*c*b*a*b, (b*c)^12 ] Non-orientable map of genus 58 and type {8,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, c*b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*c*b ] Non-orientable map of genus 58 and type {8,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, c*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, c*b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*c*b ] Orientable map of genus 29 and type {8,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^12 ] Orientable map of genus 29 and type {8,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, c*b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*c*b, c*a*b*c*b*c*b*a*b*a*b*c*b*c*b*a*c*b ] Orientable map of genus 33 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 33 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^24 ] Orientable map of genus 33 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*c*b*c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b ] Orientable map of genus 33 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*c*b*c*a*b*c*a*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 33 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*a*b*c*b*c*b*c*b*c*a*b*c*a^2*b*a*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 33 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*a*b*a*b*a*c*b*c*b*a*b, b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 35 and type {8,48}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 70 and type {8,48}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*a*b*c*b*c*b*c*b*c*a*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 35 and type {12,16}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b, (a*b)^12 ] Orientable map of genus 35 and type {12,16}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^16 ] Orientable map of genus 38 and type {12,32}_96 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c ] Orientable map of genus 39 and type {16,24}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 39 and type {16,24}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 384 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, b*a*b*a*b*a*b*a*b*a*b*a*c*b*a*b*a*c, b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 17 and type {6,6}_8 isomorphic to its dual Automorphism group of order 192 with defining relations: [ (X*Y)^2, X^6, Y^6, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y^-3*X^3*Y^3*X^-2 ] ......................... Rotary maps with 97 edges ......................... Orientable map of genus 0 and type {2,97}_194 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 388 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^97 ] ......................... Rotary maps with 98 edges ......................... Orientable map of genus 0 and type {2,98}_98 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 392 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^98 ] Non-orientable map of genus 1 and type {2,196}_196 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 392 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 1 and type {4,4}_14 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 392 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^4, (c*b*a*b)^7 ] Orientable map of genus 36 and type {14,14}_14 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 392 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, a*b*c*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b, (b*c)^14 ] ......................... Rotary maps with 99 edges ......................... Orientable map of genus 0 and type {2,99}_198 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 396 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^99 ] Orientable map of genus 31 and type {6,33}_66 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 396 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (c*b)^33 ] Non-orientable map of genus 81 and type {18,22}_99 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 396 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b ] .......................... Rotary maps with 100 edges .......................... Orientable map of genus 0 and type {2,100}_100 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 400 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^100 ] Non-orientable map of genus 1 and type {2,200}_200 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 400 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 1 and type {4,4}_10 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 400 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^4, a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 24 and type {4,50}_100 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 400 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^50 ] Orientable map of genus 36 and type {10,20}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 400 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^10, (b*c)^20 ] Orientable map of genus 36 and type {10,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 400 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*c*b*c*b, (a*b)^10 ] Chiral map of genus 1 and type {4,4}_50 isomorphic to its dual Automorphism group of order 200 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^-1*X*Y^-1*X ] Chiral map of genus 21 and type {4,20}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 200 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^-2*X^-1*Y^2*X*Y^-1*X^-2*Y^-5 ] Chiral map of genus 26 and type {8,8}_10 isomorphic to its mirror-dual Automorphism group of order 200 with defining relations: [ (X*Y)^2, X^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X*Y^-1*X^4*Y*X^-2*Y^-1 ] Chiral map of genus 41 and type {20,20}_10 isomorphic to its dual Automorphism group of order 200 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X^2*Y*X^-1*Y, X*Y^-3*X*Y^-1*X^7*Y^-1*X*Y^-2*X*Y^-1*X ] .......................... Rotary maps with 101 edges .......................... Orientable map of genus 0 and type {2,101}_202 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 404 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^101 ] .......................... Rotary maps with 102 edges .......................... Orientable map of genus 0 and type {2,102}_102 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 408 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^102 ] Non-orientable map of genus 1 and type {2,204}_204 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 408 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 49 and type {4,51}_51 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 408 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^51 ] Orientable map of genus 32 and type {6,34}_102 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 408 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^34 ] Chiral map of genus 35 and type {12,12}_34 isomorphic to its dual Automorphism group of order 204 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-2 ] .......................... Rotary maps with 103 edges .......................... Orientable map of genus 0 and type {2,103}_206 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 412 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^103 ] .......................... Rotary maps with 104 edges .......................... Orientable map of genus 0 and type {2,104}_104 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 416 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^104 ] Non-orientable map of genus 1 and type {2,208}_208 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 416 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 25 and type {4,52}_52 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 416 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^52 ] Orientable map of genus 26 and type {4,104}_104 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 416 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 36 and type {8,26}_104 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 416 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^26 ] Orientable map of genus 38 and type {8,52}_104 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 416 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_52 isomorphic to its dual Automorphism group of order 208 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X^-2*Y^-2*X^-2*Y^2*X^2*Y^2*X^2*Y^-2 ] Chiral map of genus 27 and type {8,8}_26 isomorphic to its dual Automorphism group of order 208 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^4*Y^-3, X*Y^-2*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 27 and type {8,8}_52 isomorphic to its dual Automorphism group of order 208 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1 ] .......................... Rotary maps with 105 edges .......................... Orientable map of genus 0 and type {2,105}_210 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 420 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^105 ] Non-orientable map of genus 69 and type {6,70}_105 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 420 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 81 and type {10,42}_105 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 420 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 85 and type {14,30}_105 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 420 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, b*c*b*c*b*c*a*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c ] Chiral map of genus 29 and type {6,15}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 210 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-1*Y*X^-2*Y*X^2*Y*X^-1*Y^-2 ] Chiral map of genus 43 and type {15,30}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 210 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, X^2*Y^-2*X^8*Y^-1*X*Y^-1 ] .......................... Rotary maps with 106 edges .......................... Orientable map of genus 0 and type {2,106}_106 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 424 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^106 ] Non-orientable map of genus 1 and type {2,212}_212 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 424 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_106 isomorphic to its dual Automorphism group of order 212 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X*Y^-1*X ] .......................... Rotary maps with 107 edges .......................... Orientable map of genus 0 and type {2,107}_214 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 428 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^107 ] .......................... Rotary maps with 108 edges .......................... Orientable map of genus 0 and type {2,108}_108 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 432 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^108 ] Non-orientable map of genus 1 and type {2,216}_216 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 432 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 1 and type {3,6}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 432 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^6, a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 10 and type {4,6}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 432 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b ] Orientable map of genus 10 and type {4,6}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 432 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, (a*b*c*b*c*b*a*b*c*b)^2 ] Orientable map of genus 24 and type {4,27}_54 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 432 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (c*b)^27 ] Non-orientable map of genus 52 and type {4,54}_54 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 432 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^54 ] Orientable map of genus 26 and type {4,54}_108 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 432 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^54 ] Orientable map of genus 25 and type {6,9}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 432 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, (c*b)^9, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b ] Orientable map of genus 28 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 432 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^12 ] Orientable map of genus 28 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 432 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, c*b*a*b*c*b*a*b*a*b*c*b*a*b*c*b, (b*c)^12 ] Orientable map of genus 28 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 432 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (b*c)^12 ] Orientable map of genus 28 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 432 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*b*a*c*b*c*b*a*b*a*b, c*a*b*a*b*c*b*a*b*a*c*b*c*b*c*b*c*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b ] Orientable map of genus 28 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 432 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*a*b)^2, (a*b*c*b*c*b*c*b)^2 ] Orientable map of genus 34 and type {6,36}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 432 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^36 ] Orientable map of genus 34 and type {9,12}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 432 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b)^2, (b*a)^9, c*b*a*b*c*b*c*a*b*a*c*b*c*b*a*b*c*b, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b ] Orientable map of genus 40 and type {12,18}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 432 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^18 ] Orientable map of genus 40 and type {12,18}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 432 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^12, (b*c)^18 ] Chiral map of genus 25 and type {6,9}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 216 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-9, X*Y^-1*X^2*Y^-1*X^-3*Y^-1*X^2*Y^2 ] Chiral map of genus 34 and type {6,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 216 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-6*X^3*Y*X^-1*Y^-5 ] Chiral map of genus 28 and type {8,8}_6 isomorphic to its dual Automorphism group of order 216 with defining relations: [ (X*Y)^2, X^8, Y*X*Y^-1*X^2*Y*X^-1*Y, Y^2*X^4*Y^-2*X*Y ] Chiral map of genus 34 and type {9,12}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 216 with defining relations: [ (X*Y)^2, (X*Y^-1*X)^2, X^-9, Y*X^-1*Y^2*X^2*Y^2*X^-1*Y, Y^4*X^-2*Y^-3*X*Y ] Chiral map of genus 40 and type {12,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 216 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y^-3*X^3*Y*X^-1*Y^-2 ] Chiral map of genus 43 and type {12,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 216 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, X^12 ] Chiral map of genus 46 and type {24,24}_6 isomorphic to its dual Automorphism group of order 216 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, Y^-1*X^6*Y^-1*X*Y^-1*X^2 ] .......................... Rotary maps with 109 edges .......................... Orientable map of genus 0 and type {2,109}_218 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 436 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^109 ] .......................... Rotary maps with 110 edges .......................... Orientable map of genus 0 and type {2,110}_110 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 440 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^110 ] Non-orientable map of genus 1 and type {2,220}_220 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 440 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 40 and type {10,22}_110 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^22 ] Chiral map of genus 34 and type {10,10}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 220 with defining relations: [ (X*Y)^2, X^10, Y^-1*X^5*Y^-1*X*Y^-2 ] Chiral map of genus 34 and type {10,10}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 220 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, X^10, X*Y^-1*X^4*Y^-2*X*Y^-1 ] Chiral map of genus 51 and type {44,44}_10 isomorphic to its dual Automorphism group of order 220 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X*Y^-3*X*Y^-1*X*Y^-1*X^9*Y^-1*X^3*Y^-1 ] .......................... Rotary maps with 111 edges .......................... Orientable map of genus 0 and type {2,111}_222 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 444 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^111 ] Non-orientable map of genus 73 and type {6,74}_111 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 444 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 1 and type {3,6}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 222 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y ] .......................... Rotary maps with 112 edges .......................... Orientable map of genus 0 and type {2,112}_112 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 448 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^112 ] Non-orientable map of genus 1 and type {2,224}_224 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 448 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 25 and type {4,28}_28 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 448 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^28 ] Orientable map of genus 27 and type {4,56}_56 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 448 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 27 and type {4,56}_56 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 448 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^56 ] Orientable map of genus 28 and type {4,112}_112 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 448 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 39 and type {8,28}_56 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 448 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^28 ] Orientable map of genus 39 and type {8,28}_56 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 448 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^8, (b*c)^28 ] Orientable map of genus 42 and type {14,16}_112 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 448 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, (b*c)^16 ] Orientable map of genus 46 and type {16,28}_112 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 448 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*b*c*b*c*a*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] Chiral map of genus 41 and type {14,14}_4 isomorphic to its mirror-dual Automorphism group of order 224 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y^3*X^-1, X^-14 ] Chiral map of genus 49 and type {28,28}_4 isomorphic to its mirror-dual Automorphism group of order 224 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y^3*X^-1, X^-10*Y*X^-1*Y^2 ] Chiral map of genus 49 and type {28,28}_4 isomorphic to its mirror-dual Automorphism group of order 224 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^-2*Y^12*X^-1*Y*X^-9*Y^2*X^-1 ] .......................... Rotary maps with 113 edges .......................... Orientable map of genus 0 and type {2,113}_226 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 452 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^113 ] .......................... Rotary maps with 114 edges .......................... Orientable map of genus 0 and type {2,114}_114 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 456 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^114 ] Non-orientable map of genus 1 and type {2,228}_228 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 456 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 55 and type {4,57}_57 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 456 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^57 ] Orientable map of genus 36 and type {6,38}_114 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 456 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^38 ] Chiral map of genus 20 and type {6,6}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 228 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y*X^-1*Y*X*Y^-1*X^-1*Y*X^-3*Y^-1*X^2*Y*X^-2 ] .......................... Rotary maps with 115 edges .......................... Orientable map of genus 0 and type {2,115}_230 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 460 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^115 ] Non-orientable map of genus 89 and type {10,46}_115 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 460 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 116 edges .......................... Orientable map of genus 0 and type {2,116}_116 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 464 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^116 ] Non-orientable map of genus 1 and type {2,232}_232 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 464 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 28 and type {4,58}_116 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 464 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^58 ] Chiral map of genus 1 and type {4,4}_58 isomorphic to its dual Automorphism group of order 232 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X ] .......................... Rotary maps with 117 edges .......................... Orientable map of genus 0 and type {2,117}_234 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 468 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^117 ] Orientable map of genus 37 and type {6,39}_78 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 468 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (c*b)^39 ] Non-orientable map of genus 97 and type {18,26}_117 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 468 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] Chiral map of genus 1 and type {3,6}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 234 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X*Y^-2*X*Y^-1 ] Chiral map of genus 40 and type {9,18}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 234 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, X^-9, Y^2*X^-3*Y^4, Y*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^2 ] .......................... Rotary maps with 118 edges .......................... Orientable map of genus 0 and type {2,118}_118 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 472 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^118 ] Non-orientable map of genus 1 and type {2,236}_236 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 472 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 119 edges .......................... Orientable map of genus 0 and type {2,119}_238 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 476 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^119 ] Non-orientable map of genus 97 and type {14,34}_119 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 476 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, c*b*c*b*c*a*b*c*a*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b ] .......................... Rotary maps with 120 edges .......................... Orientable map of genus 0 and type {2,120}_120 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^120 ] Non-orientable map of genus 1 and type {2,240}_240 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 15 and type {3,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*a*c*b, c*a*b*c*a*b*c*b*c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 11 and type {4,6}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b, b*c*a*b*c*b*a*b*c*a*b*a*b*c*b*c*b*a*b*c*b*a ] Non-orientable map of genus 38 and type {4,10}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, a*b*c*b*a*b*a*c*b*a*b*c*b, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b ] Non-orientable map of genus 38 and type {4,10}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, b*c*b*c*a*b*c*a*b*a*c*b*c*b*c*b*a*b*c ] Non-orientable map of genus 46 and type {4,15}_15 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, a*b*c*a*b*c*b*a*b*a*c*b*c*b*c*b*a*b*c, (c*b)^15 ] Orientable map of genus 27 and type {4,30}_30 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (b*c)^30 ] Orientable map of genus 29 and type {4,60}_60 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^60 ] Non-orientable map of genus 58 and type {4,60}_60 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 58 and type {4,60}_60 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^60 ] Orientable map of genus 30 and type {4,120}_120 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 17 and type {5,6}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (b*c)^6, c*b*c*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*c*b ] Orientable map of genus 27 and type {5,12}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, c*a*b*c*b*c*b*a*c*b*c*b*c*b, b*c*a*b*c*a*b*c*b*a*b*c*b*a*b*c*b*a*b*c ] Orientable map of genus 21 and type {6,6}_6 invariant under all six Wilson transforms Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, (a*b*c*b*c*b*a*b)^2 ] Non-orientable map of genus 52 and type {6,8}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, (b*c)^8, a*b*c*b*c*b*a*b*a*c*b*a*c*b*a*c*b ] Orientable map of genus 29 and type {6,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b ] Non-orientable map of genus 62 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*b*a*b*a*b*a*c*b*a*b*a*b, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b ] Non-orientable map of genus 62 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*a*b)^2, a*b*a*b*c*a*b*a*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 35 and type {6,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*a ] Non-orientable map of genus 70 and type {6,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*b*c*b*a*b*c*b*a*b*c*b*c*b*a*c*b, c*a*b*c*b*a*b*a*b*a*c*b*c*b*a*b*a*b ] Non-orientable map of genus 70 and type {6,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, c*a*b*c*b*a*b*a*b*a*c*b*c*b*a*b*a*b ] Orientable map of genus 35 and type {6,20}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, (a*b*c*b)^4, b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b*c ] Orientable map of genus 38 and type {6,40}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^40 ] Orientable map of genus 38 and type {8,15}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (c*b)^15 ] Orientable map of genus 42 and type {8,30}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*a*c*b*c*b ] Orientable map of genus 42 and type {8,30}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^30 ] Orientable map of genus 44 and type {8,60}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 39 and type {10,12}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*c*b*a*c*b*c*b*c*b, b*c*a*b*a*b*a*b*a*c*b*c*b*a*b*c ] Non-orientable map of genus 78 and type {10,12}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, b*a*b*c*b*a*b*a*c*b*a*c*b*a*c, (a*b)^10 ] Non-orientable map of genus 78 and type {10,12}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, a*b*a*b*c*b*a*b*a*b*c*b*a*c*b*c*b, (a*b)^10, c*a*b*c*a*b*a*b*a*b*a*c*b*a*c*b*a*b*a*b ] Orientable map of genus 44 and type {10,24}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^24 ] Orientable map of genus 43 and type {12,15}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, a*b*c*a*b*a*b*a*b*a*c*b*a*c*b*c*b*c ] Orientable map of genus 45 and type {12,20}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^20 ] Orientable map of genus 47 and type {12,30}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, b*c*a*b*c*b*a*b*a*b*c*b*a*c*b*c ] Orientable map of genus 48 and type {12,40}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c ] Orientable map of genus 50 and type {20,24}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] Orientable map of genus 52 and type {24,30}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 53 and type {24,40}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, a*b*c*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*c*b, c*a*b*c*a*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b ] Chiral map of genus 21 and type {4,12}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 240 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^12 ] Chiral map of genus 41 and type {8,24}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 240 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2 ] Chiral map of genus 41 and type {8,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 240 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^2*X*Y^-1*X^2*Y^-2*X*Y ] Chiral map of genus 41 and type {12,12}_20 isomorphic to its dual Automorphism group of order 240 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^5*Y^-1*X^2*Y ] Chiral map of genus 41 and type {12,12}_20 isomorphic to its dual Automorphism group of order 240 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 45 and type {15,15}_4 isomorphic to its mirror-dual Automorphism group of order 240 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y^2*X^-2, X^-1*Y^2*X^-9*Y*X^-1*Y ] Chiral map of genus 51 and type {24,24}_10 isomorphic to its dual Automorphism group of order 240 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^-1*X^6*Y^-1*X*Y^-1*X^9*Y^-1*X^4 ] Chiral map of genus 51 and type {24,24}_20 isomorphic to its dual Automorphism group of order 240 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-1*X^6*Y^-1*X*Y^-1*X*Y^-1 ] .......................... Rotary maps with 121 edges .......................... Orientable map of genus 0 and type {2,121}_242 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 484 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^121 ] Orientable map of genus 45 and type {11,22}_22 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 484 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*c*b*c*b, (b*a)^11 ] .......................... Rotary maps with 122 edges .......................... Orientable map of genus 0 and type {2,122}_122 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 488 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^122 ] Non-orientable map of genus 1 and type {2,244}_244 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 488 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_122 isomorphic to its dual Automorphism group of order 244 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y ] .......................... Rotary maps with 123 edges .......................... Orientable map of genus 0 and type {2,123}_246 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 492 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^123 ] Non-orientable map of genus 81 and type {6,82}_123 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 492 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 124 edges .......................... Orientable map of genus 0 and type {2,124}_124 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 496 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^124 ] Non-orientable map of genus 1 and type {2,248}_248 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 496 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 30 and type {4,62}_124 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 496 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^62 ] .......................... Rotary maps with 125 edges .......................... Orientable map of genus 0 and type {2,125}_250 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 500 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^125 ] Orientable map of genus 26 and type {5,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 500 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, b*c*a*b*c*b*c*a*b*c*a*b*c*b*a*c*b*c*b*c ] Orientable map of genus 46 and type {10,25}_50 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 500 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^10, (c*b)^25 ] Chiral map of genus 46 and type {10,25}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 250 with defining relations: [ (X*Y)^2, Y^2*X^-3*Y^-1*X*Y^2 ] Chiral map of genus 46 and type {10,25}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 250 with defining relations: [ (X*Y)^2, X*Y^-2*X^-2*Y^-3*X ] .......................... Rotary maps with 126 edges .......................... Orientable map of genus 0 and type {2,126}_126 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 504 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^126 ] Non-orientable map of genus 1 and type {2,252}_252 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 504 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 8 and type {3,7}_9 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 504 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (c*b)^7, c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b ] Non-orientable map of genus 61 and type {4,63}_63 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 504 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^63 ] Non-orientable map of genus 77 and type {6,28}_28 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 504 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*a*b*a*c*b*a*c*b*a, b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 40 and type {6,42}_42 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 504 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c ] Orientable map of genus 40 and type {6,42}_42 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 504 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^42 ] Non-orientable map of genus 56 and type {7,7}_9 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 504 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^7, (c*b)^7, a*b*c*a*b*a*b*a*c*b*a*b*a*c*b ] Non-orientable map of genus 72 and type {9,9}_9 plus image(s) under Wilson transforms [ D ] Automorphism group of order 504 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*b*a*b*a*b*a*b*c*b*c*b*a*c*b, (b*a)^9, (c*b)^9 ] Orientable map of genus 48 and type {14,18}_126 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 504 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, (b*c)^18 ] Chiral map of genus 22 and type {6,6}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 252 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X^2*Y^-1*X^2*Y^-1*X^3*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 22 and type {6,6}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 252 with defining relations: [ (X*Y)^2, X^6, Y^6, Y*X*Y^-1*X^-2*Y^3*X^-1*Y ] Chiral map of genus 50 and type {18,18}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 252 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y*X^-12*Y^5 ] .......................... Rotary maps with 127 edges .......................... Orientable map of genus 0 and type {2,127}_254 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 508 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^127 ] .......................... Rotary maps with 128 edges .......................... Orientable map of genus 0 and type {2,128}_128 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^128 ] Non-orientable map of genus 1 and type {2,256}_256 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 1 and type {4,4}_16 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^4, (a*b*c*b)^8 ] Orientable map of genus 17 and type {4,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (b*c)^8, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b ] Orientable map of genus 17 and type {4,8}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^8, a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 17 and type {4,8}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^8, c*a*b*c*a*b*c*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c*b*a*c*b ] Orientable map of genus 25 and type {4,16}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b ] Orientable map of genus 25 and type {4,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b ] Orientable map of genus 25 and type {4,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^16 ] Orientable map of genus 29 and type {4,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 29 and type {4,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^32 ] Orientable map of genus 31 and type {4,64}_64 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 31 and type {4,64}_64 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^64 ] Orientable map of genus 32 and type {4,128}_128 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 33 and type {8,8}_8 invariant under all six Wilson transforms Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^8 ] Orientable map of genus 33 and type {8,8}_8 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^8, b*c*b*a*b*c*b*a*b*a*c*b*c*b*a*c*b*c ] Orientable map of genus 33 and type {8,8}_8 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*b*c*b*a*c*b, (a*b)^8, (b*c)^8 ] Orientable map of genus 33 and type {8,8}_8 invariant under all six Wilson transforms Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, c*b*a*b*c*b*a*b*a*b*c*b*a*b*c*b, (b*c)^8 ] Orientable map of genus 33 and type {8,8}_8 invariant under all six Wilson transforms Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (b*c)^8 ] Orientable map of genus 33 and type {8,8}_8 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^8, b*a*b*c*b*a*b*a*b*a*c*b*c*b*a*c*b*a ] Orientable map of genus 33 and type {8,8}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b)^2, (b*c)^8, b*a*b*c*b*a*b*c*b*a*c*b*c*b*a*c*b*c ] Orientable map of genus 33 and type {8,8}_16 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*c*b*c*b*c*b, (a*b)^8, c*a*b*c*a*b*c*a*b*c*b*a*b*a*b*c*b*a*c*b*a*c*b*a*c*b ] Orientable map of genus 41 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, b*c*a*b*c*a*b*c*b*c*a*b*c*b*c*b*a*c*b*c ] Orientable map of genus 41 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b ] Orientable map of genus 41 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, c*b*a*b*c*b*a*b*a*b*c*b*a*b*c*b, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b ] Orientable map of genus 41 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^16 ] Orientable map of genus 41 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b ] Orientable map of genus 41 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, c*b*c*b*c*a*b*a*b*a*c*b*c*b*c*b*a*b, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b ] Orientable map of genus 41 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b ] Orientable map of genus 41 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 41 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b ] Orientable map of genus 41 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*c*b*c*b)^2, b*a*b*c*b*a*b*a*b*a*c*b*a*b*a*c*b*c, b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 41 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^16 ] Orientable map of genus 45 and type {8,32}_32 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 45 and type {8,32}_32 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^32 ] Orientable map of genus 45 and type {8,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c ] Orientable map of genus 45 and type {8,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c ] Orientable map of genus 47 and type {8,64}_64 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 49 and type {16,16}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b, b*a*b*c*a*b*a*b*a*b*a*c*b*a*c*b*a*c*b*a, a*b*c*b*c*b*a*b*c*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b*a*b*a*b*a*b*a*b ] Orientable map of genus 49 and type {16,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b, a*b*a*b*a*b*a*b*a*b*a*b*a*c*b*a*c*b*c*b*c*b ] Orientable map of genus 49 and type {16,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*c*b*c*b, c*b*c*b*a*b*c*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b*a*b*a*b*a*b*a*b*a*b, (a*b)^16 ] Orientable map of genus 53 and type {16,32}_32 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c ] Orientable map of genus 53 and type {16,32}_32 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, b*a*b*a*b*a*b*a*b*a*b*a*c*b*a*b*a*c, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 25 and type {4,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 256 with defining relations: [ (X*Y)^2, X^4, X*Y^-3*X^-1*Y*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 41 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 256 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-2*X*Y^-1*X^2*Y^2*X^-1*Y^-1, Y^2*X^-1*Y*X^2*Y^-2*X*Y ] Chiral map of genus 45 and type {8,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 256 with defining relations: [ (X*Y)^2, X^8, Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1, Y^-4*X^3*Y*X^-1*Y^-3 ] Chiral map of genus 53 and type {16,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 256 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y^-2*X^-1*Y*X^3*Y^-5 ] .......................... Rotary maps with 129 edges .......................... Orientable map of genus 0 and type {2,129}_258 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 516 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^129 ] Non-orientable map of genus 85 and type {6,86}_129 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 516 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 1 and type {3,6}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 258 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^3*X^-1*Y^2*X^-1*Y ] .......................... Rotary maps with 130 edges .......................... Orientable map of genus 0 and type {2,130}_130 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 520 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^130 ] Non-orientable map of genus 1 and type {2,260}_260 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 520 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 48 and type {10,26}_130 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 520 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^26 ] Chiral map of genus 1 and type {4,4}_130 isomorphic to its dual Automorphism group of order 260 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] Chiral map of genus 1 and type {4,4}_130 isomorphic to its dual Automorphism group of order 260 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 53 and type {20,20}_26 isomorphic to its dual Automorphism group of order 260 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2 ] Chiral map of genus 61 and type {52,52}_10 isomorphic to its dual Automorphism group of order 260 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-2*Y^2*X^-1*Y*X^-3*Y*X^-9*Y*X^-1*Y^3*X^-1*Y ] .......................... Rotary maps with 131 edges .......................... Orientable map of genus 0 and type {2,131}_262 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 524 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^131 ] .......................... Rotary maps with 132 edges .......................... Orientable map of genus 0 and type {2,132}_132 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 528 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^132 ] Non-orientable map of genus 1 and type {2,264}_264 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 528 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 30 and type {4,33}_66 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 528 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (c*b)^33 ] Non-orientable map of genus 64 and type {4,66}_66 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 528 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^66 ] Orientable map of genus 32 and type {4,66}_132 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 528 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^66 ] Orientable map of genus 41 and type {6,33}_44 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 528 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b ] Orientable map of genus 42 and type {6,44}_132 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 528 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^44 ] Orientable map of genus 50 and type {12,22}_132 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 528 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^22 ] Orientable map of genus 53 and type {12,44}_66 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 528 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 133 edges .......................... Orientable map of genus 0 and type {2,133}_266 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 532 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^133 ] Non-orientable map of genus 109 and type {14,38}_133 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 532 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b ] .......................... Rotary maps with 134 edges .......................... Orientable map of genus 0 and type {2,134}_134 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 536 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^134 ] Non-orientable map of genus 1 and type {2,268}_268 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 536 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 135 edges .......................... Orientable map of genus 0 and type {2,135}_270 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 540 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^135 ] Orientable map of genus 37 and type {6,15}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 540 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c, (c*b)^15 ] Orientable map of genus 43 and type {6,45}_90 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 540 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (c*b)^45 ] Non-orientable map of genus 105 and type {10,54}_135 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 540 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 113 and type {18,30}_45 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 540 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c ] Chiral map of genus 43 and type {6,45}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 270 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^7*X*Y^-1*X*Y*X^-1*Y^-4*X*Y^2 ] Chiral map of genus 61 and type {30,45}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 270 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, X^-1*Y*X^-1*Y*X^-8*Y^3 ] .......................... Rotary maps with 136 edges .......................... Orientable map of genus 0 and type {2,136}_136 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 544 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^136 ] Non-orientable map of genus 1 and type {2,272}_272 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 544 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 33 and type {4,68}_68 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 544 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^68 ] Orientable map of genus 34 and type {4,136}_136 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 544 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 48 and type {8,34}_136 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 544 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^34 ] Orientable map of genus 50 and type {8,68}_136 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 544 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_68 isomorphic to its dual Automorphism group of order 272 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1 ] Chiral map of genus 35 and type {8,8}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 272 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1 ] Chiral map of genus 35 and type {8,8}_34 isomorphic to its dual Automorphism group of order 272 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 35 and type {8,8}_68 isomorphic to its dual Automorphism group of order 272 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-2 ] Chiral map of genus 52 and type {16,16}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 272 with defining relations: [ (X*Y)^2, X*Y^-2*X^2*Y^-3 ] Chiral map of genus 52 and type {16,16}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 272 with defining relations: [ (X*Y)^2, Y^-3*X^2*Y^-1*X*Y^-1 ] .......................... Rotary maps with 137 edges .......................... Orientable map of genus 0 and type {2,137}_274 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 548 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^137 ] .......................... Rotary maps with 138 edges .......................... Orientable map of genus 0 and type {2,138}_138 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 552 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^138 ] Non-orientable map of genus 1 and type {2,276}_276 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 552 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 67 and type {4,69}_69 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 552 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^69 ] Orientable map of genus 44 and type {6,46}_138 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 552 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^46 ] .......................... Rotary maps with 139 edges .......................... Orientable map of genus 0 and type {2,139}_278 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 556 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^139 ] .......................... Rotary maps with 140 edges .......................... Orientable map of genus 0 and type {2,140}_140 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 560 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^140 ] Non-orientable map of genus 1 and type {2,280}_280 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 560 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 34 and type {4,70}_140 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 560 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^70 ] Orientable map of genus 52 and type {10,28}_140 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 560 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^28 ] Orientable map of genus 54 and type {14,20}_140 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 560 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, (b*c)^20 ] Orientable map of genus 59 and type {20,28}_70 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 560 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c ] Chiral map of genus 31 and type {4,28}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 280 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^5*X*Y^-2*X^2*Y^-1*X*Y^6 ] Chiral map of genus 61 and type {28,28}_10 isomorphic to its dual Automorphism group of order 280 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y^4*X^-1*Y*X^-3*Y*X^-9*Y*X^-1*Y^3*X^-1*Y^2 ] Chiral map of genus 63 and type {35,35}_4 isomorphic to its mirror-dual Automorphism group of order 280 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-1*Y, X^-22*Y^2*X^-10*Y ] .......................... Rotary maps with 141 edges .......................... Orientable map of genus 0 and type {2,141}_282 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 564 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^141 ] Non-orientable map of genus 93 and type {6,94}_141 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 564 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 142 edges .......................... Orientable map of genus 0 and type {2,142}_142 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 568 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^142 ] Non-orientable map of genus 1 and type {2,284}_284 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 568 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 143 edges .......................... Orientable map of genus 0 and type {2,143}_286 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 572 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^143 ] Non-orientable map of genus 121 and type {22,26}_143 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 572 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, a*b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] .......................... Rotary maps with 144 edges .......................... Orientable map of genus 0 and type {2,144}_144 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^144 ] Non-orientable map of genus 1 and type {2,288}_288 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 1 and type {3,6}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^6, c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c*b ] Orientable map of genus 13 and type {3,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b, (b*c)^12 ] Orientable map of genus 1 and type {4,4}_12 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^4, a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 19 and type {4,8}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^8, (a*b*c*b)^6 ] Orientable map of genus 19 and type {4,8}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^8, b*c*a*b*c*b*a*b*c*b*a*b*c*b*a*b*c*b*a*b*c*b*a*c*b*c ] Non-orientable map of genus 58 and type {4,18}_18 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, (b*c)^18 ] Orientable map of genus 29 and type {4,18}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, (b*c)^18 ] Orientable map of genus 33 and type {4,36}_36 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^36 ] Orientable map of genus 33 and type {4,36}_36 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (b*c)^36 ] Orientable map of genus 35 and type {4,72}_72 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 35 and type {4,72}_72 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^72 ] Non-orientable map of genus 70 and type {4,72}_72 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 70 and type {4,72}_72 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^72 ] Orientable map of genus 36 and type {4,144}_144 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 25 and type {6,6}_6 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, (b*a*b*a*b*c)^3, c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b ] Orientable map of genus 25 and type {6,6}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, c*a*b*c*b*c*b*a*b*a*b*c*b*c*b*a*c*b, b*c*a*b*a*b*c*a*b*a*b*a*b*c*b*a*b*c*b*a*b*a ] Orientable map of genus 37 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, (b*c)^12 ] Orientable map of genus 37 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*b*a*c*b*c*b*a*b*a*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b ] Orientable map of genus 37 and type {6,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*c*b*a*c*b*c*b*c*b, b*c*a*b*a*b*c*a*b*a*b*a*b*c*b*a*b*c*b*a*b*a ] Orientable map of genus 37 and type {6,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, b*c*a*b*c*b*c*a*b*c*b*a*b*c*b*c*b*c*b*a*b*c ] Orientable map of genus 40 and type {6,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (b*c)^16 ] Orientable map of genus 46 and type {6,48}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (b*c)^48 ] Orientable map of genus 46 and type {6,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 37 and type {8,8}_12 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*c*b*c*b*c*b, (a*b)^8, a*b*c*b*a*b*c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b*c*b ] Orientable map of genus 37 and type {8,8}_12 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*c*b*c*b*c*b, (a*b)^8, (a*b*c*b)^6 ] Orientable map of genus 39 and type {8,9}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c, (c*b)^9 ] Orientable map of genus 47 and type {8,18}_18 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*a*b*a*b*a*c*b*c*b*a*b, (b*c)^18 ] Orientable map of genus 47 and type {8,18}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^18 ] Orientable map of genus 51 and type {8,36}_36 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*a*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 51 and type {8,36}_72 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^36 ] Orientable map of genus 51 and type {8,36}_72 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^8, (b*c)^36 ] Non-orientable map of genus 106 and type {8,72}_72 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 106 and type {8,72}_72 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 49 and type {12,12}_12 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, (a*b)^12, (b*c)^12 ] Orientable map of genus 49 and type {12,12}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*c*b*a*c*b*c*b*c*b, c*a*b*a*b*a*b*a*b*a*c*b*c*b*a*b*c*b, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, (a*b)^12 ] Orientable map of genus 49 and type {12,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, b*c*b*c*a*b*a*b*a*b*a*c*b*c*b*a*c*b*a*c, c*a*b*a*b*c*b*a*b*a*b*a*b*c*b*a*b*a*c*b*a*b ] Orientable map of genus 52 and type {12,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, c*b*c*a*b*c*b*c*b*c*a*b*a*b*a*b*c*b*a*c*b*a*c*b ] Orientable map of genus 55 and type {12,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, (a*b)^12, c*b*c*a*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 55 and type {12,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^12, (b*c)^24 ] Orientable map of genus 55 and type {12,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*c*b*c*b, (a*b)^12 ] Orientable map of genus 55 and type {12,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b, (a*b)^12, (a*b*c*b*a*b*a*b*a*b*a*b)^2 ] Orientable map of genus 58 and type {12,48}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 58 and type {12,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, a*b*c*a*b*c*b*c*b*a*b*a*b*a*c*b*a*c*b*c*b*c*b*c ] Orientable map of genus 56 and type {16,18}_144 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, (b*c)^18 ] Orientable map of genus 60 and type {16,36}_144 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 576 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, b*c*b*c*b*c*a*b*c*a*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] Chiral map of genus 19 and type {4,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 288 with defining relations: [ (X*Y)^2, X^4, Y^8, Y^-3*X^-1*Y*X^2*Y^4*X ] Chiral map of genus 37 and type {8,8}_12 isomorphic to its dual Automorphism group of order 288 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y*X^-3*Y*X^2*Y^4*X^-1, Y*X*Y^-1*X^-4*Y^-1*X^3*Y ] Chiral map of genus 55 and type {16,16}_6 isomorphic to its dual Automorphism group of order 288 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^5*Y*X^-1*Y^2, X^16 ] Chiral map of genus 55 and type {16,16}_12 isomorphic to its dual Automorphism group of order 288 with defining relations: [ (X*Y)^2, Y^-2*X^3*Y^-1*X*Y^-1 ] .......................... Rotary maps with 145 edges .......................... Orientable map of genus 0 and type {2,145}_290 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 580 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^145 ] Non-orientable map of genus 113 and type {10,58}_145 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 580 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 146 edges .......................... Orientable map of genus 0 and type {2,146}_146 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 584 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^146 ] Non-orientable map of genus 1 and type {2,292}_292 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 584 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_146 isomorphic to its dual Automorphism group of order 292 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1 ] .......................... Rotary maps with 147 edges .......................... Orientable map of genus 0 and type {2,147}_294 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 588 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^147 ] Orientable map of genus 1 and type {3,6}_14 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 588 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^6, a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Non-orientable map of genus 97 and type {6,98}_147 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 588 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 57 and type {14,21}_42 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 588 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, a*b*c*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b, (c*b)^21 ] Chiral map of genus 1 and type {3,6}_98 not isomorphic to its dual or mirror-dual Automorphism group of order 294 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-1*X*Y^-2 ] Chiral map of genus 43 and type {6,21}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 294 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^3*X*Y^-1*X^3*Y*X^-2*Y^2 ] Chiral map of genus 64 and type {21,42}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 294 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, X^12*Y^-1*X*Y^-2*X*Y^-3*X ] .......................... Rotary maps with 148 edges .......................... Orientable map of genus 0 and type {2,148}_148 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 592 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^148 ] Non-orientable map of genus 1 and type {2,296}_296 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 592 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 36 and type {4,74}_148 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 592 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^74 ] Chiral map of genus 1 and type {4,4}_74 isomorphic to its dual Automorphism group of order 296 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X ] .......................... Rotary maps with 149 edges .......................... Orientable map of genus 0 and type {2,149}_298 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 596 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^149 ] .......................... Rotary maps with 150 edges .......................... Orientable map of genus 0 and type {2,150}_150 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 600 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^150 ] Non-orientable map of genus 1 and type {2,300}_300 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 600 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 73 and type {4,75}_75 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 600 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^75 ] Orientable map of genus 16 and type {5,5}_6 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 600 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (c*b)^5, c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b, c*a*b*c*b*a*b*c*b*a*b*a*c*b*c*b*a*b*c*b*a*b ] Non-orientable map of genus 62 and type {5,10}_15 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 600 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b, b*c*a*b*a*b*c*b*a*b*c*b*c*b*a*b*c*b*c*b*c ] Orientable map of genus 26 and type {6,6}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 600 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (b*c)^6, a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 48 and type {6,50}_150 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 600 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^50 ] Non-orientable map of genus 97 and type {10,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 600 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^10, c*b*c*a*b*c*b*a*b*a*b*a*c*b*a*b*a*b*c*b*a*c*b ] Orientable map of genus 56 and type {10,30}_30 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 600 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^10, c*b*a*b*a*b*c*b*a*b*a*b*c*b*c*b*c*b*c*b ] Orientable map of genus 56 and type {10,30}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 600 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^30 ] Chiral map of genus 51 and type {12,12}_10 isomorphic to its dual Automorphism group of order 300 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, Y^-2*X^4*Y*X^-1*Y^-2 ] Chiral map of genus 51 and type {12,12}_50 isomorphic to its dual Automorphism group of order 300 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X^-2*Y^2*X*Y^-1*X^-2*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 71 and type {60,60}_10 isomorphic to its dual Automorphism group of order 300 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y^6*X^-1*Y*X^-3*Y*X^-9*Y*X^-1*Y^3*X^-1*Y*X^-1 ] .......................... Rotary maps with 151 edges .......................... Orientable map of genus 0 and type {2,151}_302 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 604 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^151 ] .......................... Rotary maps with 152 edges .......................... Orientable map of genus 0 and type {2,152}_152 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 608 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^152 ] Non-orientable map of genus 1 and type {2,304}_304 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 608 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 37 and type {4,76}_76 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 608 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^76 ] Orientable map of genus 38 and type {4,152}_152 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 608 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 54 and type {8,38}_152 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 608 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^38 ] Orientable map of genus 56 and type {8,76}_152 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 608 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 153 edges .......................... Orientable map of genus 0 and type {2,153}_306 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 612 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^153 ] Orientable map of genus 49 and type {6,51}_102 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 612 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (c*b)^51 ] Non-orientable map of genus 129 and type {18,34}_153 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 612 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*b*c*b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 154 edges .......................... Orientable map of genus 0 and type {2,154}_154 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 616 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^154 ] Non-orientable map of genus 1 and type {2,308}_308 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 616 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 60 and type {14,22}_154 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 616 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, (b*c)^22 ] .......................... Rotary maps with 155 edges .......................... Orientable map of genus 0 and type {2,155}_310 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 620 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^155 ] Non-orientable map of genus 121 and type {10,62}_155 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 620 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 32 and type {5,10}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 310 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, (X*Y^-2*X*Y^-1)^2, Y^2*X*Y^-2*X^-1*Y^4*X^-1 ] Chiral map of genus 32 and type {5,10}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 310 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2 ] .......................... Rotary maps with 156 edges .......................... Orientable map of genus 0 and type {2,156}_156 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 624 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^156 ] Non-orientable map of genus 1 and type {2,312}_312 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 624 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 36 and type {4,39}_78 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 624 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (c*b)^39 ] Non-orientable map of genus 76 and type {4,78}_78 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 624 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^78 ] Orientable map of genus 38 and type {4,78}_156 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 624 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^78 ] Orientable map of genus 49 and type {6,39}_52 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 624 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 50 and type {6,52}_156 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 624 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^52 ] Orientable map of genus 60 and type {12,26}_156 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 624 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^26 ] Orientable map of genus 63 and type {12,52}_78 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 624 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {3,6}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 312 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 27 and type {4,12}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 312 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, Y^-1*X*Y^-1*X*Y^-2*X^-2*Y^-1*X*Y^2*X^-1*Y^-1 ] Chiral map of genus 40 and type {6,12}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 312 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, Y^-1*X^-1*Y*X*Y^-1*X^-2*Y*X^-2*Y^-1*X^2*Y^-1 ] Chiral map of genus 40 and type {6,12}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 312 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^-2 ] Chiral map of genus 53 and type {12,12}_26 isomorphic to its dual Automorphism group of order 312 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X*Y^-1*X*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 53 and type {12,12}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 312 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^12, Y^-1*X^2*Y^-1*X^3*Y^-1*X*Y^-1*X^2 ] Chiral map of genus 53 and type {12,12}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 312 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y^3*X^3*Y^-1*X*Y^2, X^12 ] .......................... Rotary maps with 157 edges .......................... Orientable map of genus 0 and type {2,157}_314 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 628 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^157 ] .......................... Rotary maps with 158 edges .......................... Orientable map of genus 0 and type {2,158}_158 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 632 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^158 ] Non-orientable map of genus 1 and type {2,316}_316 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 632 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 159 edges .......................... Orientable map of genus 0 and type {2,159}_318 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 636 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^159 ] Non-orientable map of genus 105 and type {6,106}_159 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 636 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 160 edges .......................... Orientable map of genus 0 and type {2,160}_160 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^160 ] Non-orientable map of genus 1 and type {2,320}_320 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 9 and type {4,5}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (c*b)^5, a*b*c*b*a*b*c*b*c*a*b*a*c*b*c*b*a*b*c*b*a*c*b*c ] Orientable map of genus 25 and type {4,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b*c*b)^2, (b*c)^10 ] Orientable map of genus 25 and type {4,10}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*c*b*a*b*c*b*a*c*b*c*b*c*b*a*c*b ] Non-orientable map of genus 66 and type {4,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*a*c*b*c ] Non-orientable map of genus 66 and type {4,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, a*b*c*a*b*c*b*a*b*a*c*b*c*b*c*b*a*b*c, (b*c)^20 ] Orientable map of genus 33 and type {4,20}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^20 ] Orientable map of genus 37 and type {4,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^40 ] Orientable map of genus 39 and type {4,80}_80 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 39 and type {4,80}_80 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^80 ] Orientable map of genus 40 and type {4,160}_160 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 29 and type {5,8}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (a*b*c*b*c*b*c*b)^2, b*a*b*c*b*a*b*c*b*a*c*b*c*b*a*c*b*c ] Orientable map of genus 29 and type {5,8}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2 ] Orientable map of genus 45 and type {8,10}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*c, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b ] Non-orientable map of genus 90 and type {8,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, a*b*c*a*b*c*b*a*b*a*c*b*c*b*c*b*a*b*c, (b*c)^10 ] Non-orientable map of genus 90 and type {8,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, c*b*c*a*b*c*b*a*b*a*c*b*c*b*a*c*b*a*b, (b*c)^10 ] Orientable map of genus 45 and type {8,10}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*c, (a*b*c*b)^4 ] Orientable map of genus 53 and type {8,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^20 ] Non-orientable map of genus 106 and type {8,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, a*b*c*a*b*c*b*a*b*a*c*b*c*b*c*b*a*b*c, a*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*a*c*b*c ] Non-orientable map of genus 106 and type {8,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, c*b*c*a*b*c*b*a*b*a*c*b*c*b*a*c*b*a*b, a*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 53 and type {8,20}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^20 ] Orientable map of genus 57 and type {8,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 57 and type {8,40}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^40 ] Orientable map of genus 57 and type {8,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 57 and type {8,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 59 and type {8,80}_80 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 60 and type {10,32}_160 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^32 ] Orientable map of genus 63 and type {16,20}_80 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, (b*c)^20 ] Orientable map of genus 63 and type {16,20}_80 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, b*a*b*a*b*a*b*a*b*a*b*a*c*b*a*b*a*c, (b*c)^20 ] Orientable map of genus 67 and type {16,40}_80 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] Orientable map of genus 67 and type {16,40}_80 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, b*a*b*a*b*a*b*a*b*a*b*a*c*b*a*b*a*c, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 68 and type {20,32}_160 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 640 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*b*c*b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_40 isomorphic to its dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] Chiral map of genus 21 and type {4,8}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^4, Y^8, (Y^-1*X)^5, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2 ] Chiral map of genus 21 and type {4,8}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 21 and type {4,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 31 and type {4,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-2*X*Y^2 ] Chiral map of genus 31 and type {4,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^16 ] Chiral map of genus 41 and type {8,8}_10 isomorphic to its dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^-1*X*Y^-1*X^3*Y^-3*X ] Chiral map of genus 41 and type {8,8}_20 isomorphic to its dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 41 and type {8,8}_40 isomorphic to its dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y^-1 ] Chiral map of genus 41 and type {8,8}_40 isomorphic to its dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1 ] Chiral map of genus 41 and type {8,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 41 and type {8,8}_40 isomorphic to its dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-2*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 51 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-3*X^4*Y^-5, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 51 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-3*X^4*Y^-5, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1 ] Chiral map of genus 61 and type {16,16}_20 isomorphic to its dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-1*Y^3*X^-9*Y^3 ] Chiral map of genus 61 and type {16,16}_20 isomorphic to its dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 61 and type {16,16}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, Y^-1*X^4*Y^-3, Y^-1*X^2*Y^-1*X^3*Y*X^-1*Y^-1*X^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 71 and type {32,32}_10 isomorphic to its dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^14*X^-11*Y*X^-3*Y^3 ] Chiral map of genus 71 and type {32,32}_20 isomorphic to its dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-1*Y^3*X^-7*Y^2*X^-1*Y*X^-1 ] .......................... Rotary maps with 161 edges .......................... Orientable map of genus 0 and type {2,161}_322 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 644 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^161 ] Non-orientable map of genus 133 and type {14,46}_161 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 644 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 162 edges .......................... Orientable map of genus 0 and type {2,162}_162 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 648 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^162 ] Non-orientable map of genus 1 and type {2,324}_324 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 648 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 10 and type {3,9}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 648 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (c*b)^9, b*c*a*b*c*a*b*c*b*c*a*b*c*b*a*c*b*a*c*b*c*b*a*c*b*c ] Orientable map of genus 1 and type {4,4}_18 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 648 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^4, (c*b*a*b)^9 ] Non-orientable map of genus 47 and type {4,9}_9 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 648 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, (c*b)^9 ] Non-orientable map of genus 79 and type {4,81}_81 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 648 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^81 ] Orientable map of genus 28 and type {6,6}_6 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 648 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, c*a*b*c*b*c*a*b*a*b*a*c*b*c*b*a*c*b*a*b ] Orientable map of genus 28 and type {6,6}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 648 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (b*c)^6, c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c*b ] Orientable map of genus 28 and type {6,6}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 648 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b ] Non-orientable map of genus 83 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 648 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, (a*b*c*b*c*b*c*b)^2 ] Orientable map of genus 46 and type {6,18}_18 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 648 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^18 ] Orientable map of genus 46 and type {6,18}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 648 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, c*b*a*b*c*b*a*b*a*b*c*b*a*b*c*b, (b*c)^18 ] Orientable map of genus 46 and type {6,18}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 648 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, (a*b*c*b*c*b*c*b*a*b)^2 ] Non-orientable map of genus 101 and type {6,36}_36 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 648 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*a*b*a*c*b*a*c*b*a, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 101 and type {6,36}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 648 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, c*a*b*c*b*a*b*a*b*a*c*b*a*c*b*c*b*c*b ] Orientable map of genus 52 and type {6,54}_54 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 648 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^54 ] Orientable map of genus 46 and type {9,9}_12 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 648 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^9, c*a*b*c*b*a*b*a*b*a*c*b*a*b*c*b*c*b, b*c*b*c*a*b*a*b*a*b*a*c*b*c*b*a*b*c*b*a ] Orientable map of genus 64 and type {18,18}_18 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 648 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*c*b*c*b, a*b*a*b*a*b*c*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b*a*b*a*b*a*b*a*b*c*b*c*b, (a*b)^18 ] Chiral map of genus 46 and type {6,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 324 with defining relations: [ (X*Y)^2, X^6, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^-1*Y*X*Y^-1*X^2*Y^-4 ] Chiral map of genus 52 and type {6,54}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 324 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^9*X*Y^-1*X^2*Y^-3*X*Y^5 ] Chiral map of genus 64 and type {18,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 324 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, X*Y^-2*X*Y^-2*X^12 ] .......................... Rotary maps with 163 edges .......................... Orientable map of genus 0 and type {2,163}_326 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 652 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^163 ] .......................... Rotary maps with 164 edges .......................... Orientable map of genus 0 and type {2,164}_164 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 656 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^164 ] Non-orientable map of genus 1 and type {2,328}_328 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 656 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 40 and type {4,82}_164 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 656 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^82 ] Chiral map of genus 1 and type {4,4}_82 isomorphic to its dual Automorphism group of order 328 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 42 and type {8,8}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 328 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X^2*Y^-4*X^4*Y^-1*X ] .......................... Rotary maps with 165 edges .......................... Orientable map of genus 0 and type {2,165}_330 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 660 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^165 ] Non-orientable map of genus 35 and type {5,5}_5 invariant under all six Wilson transforms Automorphism group of order 660 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (c*b)^5, b*c*a*b*c*a*b*a*c*b*a*c*b*a*c ] Non-orientable map of genus 46 and type {5,6}_6 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 660 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (b*c)^6, c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b, b*c*b*a*b*c*b*c*b*a*b*c*b*c*b*a*c*b*c, (c*b*a*b)^5 ] Non-orientable map of genus 109 and type {6,110}_165 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 660 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 129 and type {10,66}_165 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 660 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 141 and type {22,30}_165 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 660 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] Chiral map of genus 56 and type {10,15}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 330 with defining relations: [ (X*Y)^2, X^-5*Y^-1*X*Y^2 ] Chiral map of genus 56 and type {10,15}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 330 with defining relations: [ (X*Y)^2, Y^-3*X^-2*Y^-1*X*Y^-1*X ] Chiral map of genus 67 and type {15,30}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 330 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, X^-2*Y*X^3*Y^-1*X*Y^2, X^-3*Y*X^-9*Y*X^-1 ] Chiral map of genus 67 and type {15,30}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 330 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-2*X^2*Y*X^-1*Y^2, X^-5*Y*X^-4*Y*X^-4 ] .......................... Rotary maps with 166 edges .......................... Orientable map of genus 0 and type {2,166}_166 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 664 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^166 ] Non-orientable map of genus 1 and type {2,332}_332 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 664 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 167 edges .......................... Orientable map of genus 0 and type {2,167}_334 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 668 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^167 ] .......................... Rotary maps with 168 edges .......................... Orientable map of genus 0 and type {2,168}_168 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^168 ] Non-orientable map of genus 1 and type {2,336}_336 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 8 and type {3,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^8, a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 8 and type {3,8}_14 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^8, b*c*b*c*a*b*c*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*a*c*b*c ] Non-orientable map of genus 30 and type {4,6}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, b*a*b*c*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c*b*c ] Orientable map of genus 15 and type {4,6}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, (b*c*b*a*b*c)^3 ] Non-orientable map of genus 30 and type {4,6}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, c*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 19 and type {4,7}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (c*b)^7, b*c*a*b*c*b*a*b*c*a*b*a*b*c*b*c*b*a*b*c*b*a ] Non-orientable map of genus 44 and type {4,8}_14 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, a*b*c*b*a*b*a*c*b*a*b*c*b, (b*c)^8, b*c*a*b*c*b*c*a*b*c*a*b*c*b*a*c*b*c*b*a*c*b*a*c*b*c ] Orientable map of genus 22 and type {4,8}_14 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^8, (a*b*c*b*c*b*a*b*c*b)^2, c*b*c*b*a*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] Orientable map of genus 39 and type {4,42}_42 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (b*c)^42 ] Orientable map of genus 41 and type {4,84}_84 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^84 ] Non-orientable map of genus 82 and type {4,84}_84 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 82 and type {4,84}_84 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^84 ] Orientable map of genus 42 and type {4,168}_168 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 29 and type {6,6}_8 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, (a*b*c*b)^4, c*b*a*b*a*b*c*b*a*b*a*b*c*b*c*b*a*b*c*b ] Non-orientable map of genus 58 and type {6,6}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, c*a*b*a*b*c*b*c*b*a*b*a*c*b*a*b*c*b*c*b*a*b ] Orientable map of genus 33 and type {6,7}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (c*b)^7, a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 33 and type {6,7}_14 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (c*b)^7, (a*b*c*b*c*b*a*b)^2 ] Non-orientable map of genus 72 and type {6,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (b*c)^8, a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c, c*b*c*b*c*b*a*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*a*c*b ] Non-orientable map of genus 72 and type {6,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (b*c)^8, a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c, c*b*c*a*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b ] Non-orientable map of genus 72 and type {6,8}_14 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (b*c)^8, b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*a*b*c ] Non-orientable map of genus 90 and type {6,14}_14 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*b*a*b*a*b*a*c*b*a*b*a*b, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b, a*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 51 and type {6,28}_42 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, (a*b*c*b)^4, b*c*a*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 54 and type {6,56}_168 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^56 ] Orientable map of genus 43 and type {8,8}_8 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (c*b*a*b)^3, (a*b)^8, (b*c)^8, (a*b*c*b*c*b*a*b*a*b)^2 ] Orientable map of genus 56 and type {8,21}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (c*b)^21 ] Orientable map of genus 60 and type {8,42}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 60 and type {8,42}_168 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^42 ] Orientable map of genus 62 and type {8,84}_168 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 63 and type {12,21}_56 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, b*c*a*b*c*b*c*a*b*a*b*a*b*c*b*a*c*b*a*c*b*c ] Orientable map of genus 65 and type {12,28}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^28 ] Orientable map of genus 67 and type {12,42}_56 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b ] Orientable map of genus 68 and type {12,56}_168 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 66 and type {14,24}_168 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, (b*c)^24 ] Orientable map of genus 72 and type {24,28}_168 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] Orientable map of genus 74 and type {24,42}_56 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b*a*b*c*b, b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c ] Orientable map of genus 75 and type {24,56}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 672 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, a*b*c*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*c*b, c*b*c*b*c*a*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 15 and type {3,12}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, X^3, (X*Y^-5)^2, Y*X^-1*Y^2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^3*X^-1*Y ] Chiral map of genus 29 and type {6,6}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y^-1*X^-3*Y^-1*X^2*Y*X^-2*Y^-1*X ] Chiral map of genus 43 and type {6,12}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^2, Y^-4*X^3*Y^-2, Y*X*Y^-1*X*Y^-3*X*Y^-1*X*Y^2*X^-1*Y^-2*X*Y^-1*X*Y ] Chiral map of genus 50 and type {6,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y*X*Y^-1*X^-1*Y*X^-3*Y^-1*X*Y^4 ] Chiral map of genus 50 and type {6,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^-2*X^2*Y^-1*X^2*Y^-5 ] Chiral map of genus 57 and type {12,12}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^12 ] Chiral map of genus 64 and type {12,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, X^2*Y^-1*X^3*Y*X^-1*Y^-2 ] Chiral map of genus 64 and type {12,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, X*Y^-2*X^3*Y*X^-1*Y^-1*X, X^-1*Y^3*X^2*Y^2*X^-1*Y ] Chiral map of genus 65 and type {14,21}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, Y^-1*X^-5*Y*X^-3*Y^-1 ] Chiral map of genus 73 and type {21,42}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X*Y^-1*X*Y^-4*X*Y^-1*X^8*Y^-4 ] Chiral map of genus 71 and type {24,24}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^-2*X*Y^-1*X*Y^-1*X*Y^-2*X^8*Y^-2*X*Y^-2*X^2 ] Chiral map of genus 71 and type {24,24}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^-1*X^6*Y^-5 ] Chiral map of genus 77 and type {42,42}_4 isomorphic to its mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^-2*Y^25*X^-1*Y*X^-11*Y*X^-1 ] .......................... Rotary maps with 169 edges .......................... Orientable map of genus 0 and type {2,169}_338 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 676 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^169 ] Orientable map of genus 66 and type {13,26}_26 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 676 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*c*b*c*b, (b*a)^13 ] .......................... Rotary maps with 170 edges .......................... Orientable map of genus 0 and type {2,170}_170 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 680 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^170 ] Non-orientable map of genus 1 and type {2,340}_340 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 680 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 64 and type {10,34}_170 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 680 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^34 ] Chiral map of genus 1 and type {4,4}_170 isomorphic to its dual Automorphism group of order 340 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y^2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^-2 ] Chiral map of genus 1 and type {4,4}_170 isomorphic to its dual Automorphism group of order 340 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X ] Chiral map of genus 69 and type {20,20}_34 isomorphic to its dual Automorphism group of order 340 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-1*X^2*Y^-2*X*Y^-1 ] Chiral map of genus 81 and type {68,68}_10 isomorphic to its dual Automorphism group of order 340 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y*X^-8*Y*X^-2*Y*X^-11*Y*X^-3*Y^5 ] .......................... Rotary maps with 171 edges .......................... Orientable map of genus 0 and type {2,171}_342 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 684 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^171 ] Orientable map of genus 55 and type {6,57}_114 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 684 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (c*b)^57 ] Non-orientable map of genus 145 and type {18,38}_171 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 684 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, c*b*c*b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] Chiral map of genus 1 and type {3,6}_114 not isomorphic to its dual or mirror-dual Automorphism group of order 342 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-2*X*Y^-1 ] Chiral map of genus 58 and type {9,18}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 342 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, X^-9, Y^2*X^-3*Y^4, X^-1*Y*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2 ] Chiral map of genus 58 and type {9,18}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 342 with defining relations: [ (X*Y)^2, X^-9, X^-1*Y*X^-3*Y^3*X^-1 ] Chiral map of genus 58 and type {9,18}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 342 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, X^-9, X^-2*Y*X^-2*Y^2*X^-1*Y ] Chiral map of genus 58 and type {9,18}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 342 with defining relations: [ (X*Y)^2, X^-9, Y^3*X^-2*Y*X^-1*Y^2 ] .......................... Rotary maps with 172 edges .......................... Orientable map of genus 0 and type {2,172}_172 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 688 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^172 ] Non-orientable map of genus 1 and type {2,344}_344 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 688 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 42 and type {4,86}_172 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 688 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^86 ] .......................... Rotary maps with 173 edges .......................... Orientable map of genus 0 and type {2,173}_346 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 692 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^173 ] .......................... Rotary maps with 174 edges .......................... Orientable map of genus 0 and type {2,174}_174 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 696 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^174 ] Non-orientable map of genus 1 and type {2,348}_348 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 696 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 85 and type {4,87}_87 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 696 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^87 ] Orientable map of genus 56 and type {6,58}_174 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 696 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^58 ] Chiral map of genus 59 and type {12,12}_58 isomorphic to its dual Automorphism group of order 348 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X^-2*Y^2*X^-1*Y*X^-2*Y^-1*X*Y^-1*X*Y^2 ] .......................... Rotary maps with 175 edges .......................... Orientable map of genus 0 and type {2,175}_350 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 700 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^175 ] Orientable map of genus 66 and type {10,35}_70 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 700 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^10, (c*b)^35 ] Non-orientable map of genus 145 and type {14,50}_175 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 700 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 176 edges .......................... Orientable map of genus 0 and type {2,176}_176 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 704 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^176 ] Non-orientable map of genus 1 and type {2,352}_352 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 704 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 41 and type {4,44}_44 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 704 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^44 ] Orientable map of genus 43 and type {4,88}_88 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 704 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 43 and type {4,88}_88 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 704 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^88 ] Orientable map of genus 44 and type {4,176}_176 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 704 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 63 and type {8,44}_88 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 704 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^44 ] Orientable map of genus 63 and type {8,44}_88 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 704 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^8, (b*c)^44 ] Orientable map of genus 70 and type {16,22}_176 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 704 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, (b*c)^22 ] Orientable map of genus 74 and type {16,44}_176 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 704 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 177 edges .......................... Orientable map of genus 0 and type {2,177}_354 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 708 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^177 ] Non-orientable map of genus 117 and type {6,118}_177 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 708 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 178 edges .......................... Orientable map of genus 0 and type {2,178}_178 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 712 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^178 ] Non-orientable map of genus 1 and type {2,356}_356 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 712 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_178 isomorphic to its dual Automorphism group of order 356 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^-2*X^2*Y^-1 ] .......................... Rotary maps with 179 edges .......................... Orientable map of genus 0 and type {2,179}_358 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 716 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^179 ] .......................... Rotary maps with 180 edges .......................... Orientable map of genus 0 and type {2,180}_180 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^180 ] Non-orientable map of genus 1 and type {2,360}_360 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 17 and type {3,8}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^8, c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b ] Orientable map of genus 13 and type {3,10}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^10, c*b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] Orientable map of genus 10 and type {4,5}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (c*b)^5, (c*b*a*b)^5 ] Non-orientable map of genus 32 and type {4,6}_15 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, b*c*b*a*b*c*b*c*b*a*b*c*b*c*b*a*c*b*c ] Non-orientable map of genus 56 and type {4,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, (b*c*b*a*b*c)^3, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b ] Orientable map of genus 37 and type {4,20}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, (a*b*c*b)^6, b*c*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 42 and type {4,45}_90 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (c*b)^45 ] Non-orientable map of genus 88 and type {4,90}_90 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^90 ] Orientable map of genus 44 and type {4,90}_180 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^90 ] Orientable map of genus 19 and type {5,5}_10 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (c*b)^5, (a*b*c*b)^4 ] Non-orientable map of genus 50 and type {5,6}_6 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (b*c)^6, c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b, b*c*a*b*a*b*c*b*a*b*c*a*b*a*b*c*b*c*b*a*c ] Non-orientable map of genus 65 and type {5,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (b*c)^8, (b*c*b*a*b*c)^3, c*b*c*a*b*c*b*a*b*a*c*b*c*b*a*c*b*a*b ] Non-orientable map of genus 62 and type {6,6}_6 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b, a*b*c*b*c*a*b*a*b*a*c*b*c*b*a*b*a*c*b ] Non-orientable map of genus 86 and type {6,10}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, a*b*c*a*b*a*b*a*c*b*a*b*a*c*b, (a*b*c*b*c*b*c*b*a*b)^2 ] Non-orientable map of genus 86 and type {6,10}_15 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (b*c)^10, b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*a*c*b*c ] Non-orientable map of genus 86 and type {6,10}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (b*c)^10, b*c*a*b*c*b*c*b*c*b*a*b*a*c*b*c*b*a*c*b*c*b*c ] Non-orientable map of genus 92 and type {6,12}_15 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, b*a*b*c*b*a*b*a*b*a*c*b*a*b*a*b*c*b*a, b*a*b*c*b*c*b*a*b*a*b*c*b*c*b*a*b*a*c ] Orientable map of genus 49 and type {6,15}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, a*b*a*b*c*b*a*b*a*c*b*c*b*c*b*c ] Orientable map of genus 49 and type {6,15}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, (c*b)^15 ] Orientable map of genus 52 and type {6,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (b*c)^20 ] Non-orientable map of genus 110 and type {6,30}_30 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, b*c*b*c*b*c*b*a*b*a*c*b*a*c*b*a*c*b*a ] Orientable map of genus 58 and type {6,60}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^60 ] Orientable map of genus 58 and type {6,60}_60 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 101 and type {8,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (c*b*a*b)^3, a*b*c*a*b*a*b*a*c*b*a*b*a*c*b, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b ] Orientable map of genus 68 and type {10,36}_180 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^36 ] Orientable map of genus 64 and type {12,15}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c, (c*b)^15 ] Orientable map of genus 70 and type {12,30}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^30 ] Orientable map of genus 70 and type {12,30}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^12, (b*c)^30 ] Orientable map of genus 70 and type {12,30}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b, (a*b)^12 ] Non-orientable map of genus 144 and type {18,20}_45 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, c*a*b*c*b*a*b*a*b*a*b*c*b*a*c*b*a*b, a*b*a*b*c*a*b*a*b*a*b*a*c*b*a*c*b*a*c*b*a*c*b ] Orientable map of genus 72 and type {18,20}_180 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, (b*c)^20 ] Orientable map of genus 77 and type {20,36}_90 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 720 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, c*b*c*b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 1 and type {4,4}_30 isomorphic to its dual Automorphism group of order 360 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X ] Chiral map of genus 41 and type {4,36}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 360 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^-10*X*Y*X^-1*Y^-1*X*Y^2*X^-1*Y^-4 ] Chiral map of genus 61 and type {12,12}_30 isomorphic to its dual Automorphism group of order 360 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, X^2*Y^-2*X^3*Y*X^-1*Y^-3 ] Chiral map of genus 61 and type {12,12}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 360 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, X^12 ] Chiral map of genus 81 and type {36,36}_10 isomorphic to its dual Automorphism group of order 360 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-2*Y^9*X^-2*Y*X^-3*Y^2*X^-8*Y*X^-3*Y^5 ] Chiral map of genus 82 and type {40,40}_6 isomorphic to its dual Automorphism group of order 360 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, X^-2*Y^2*X^-13*Y*X^-2 ] .......................... Rotary maps with 181 edges .......................... Orientable map of genus 0 and type {2,181}_362 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 724 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^181 ] .......................... Rotary maps with 182 edges .......................... Orientable map of genus 0 and type {2,182}_182 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 728 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^182 ] Non-orientable map of genus 1 and type {2,364}_364 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 728 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 72 and type {14,26}_182 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 728 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, (b*c)^26 ] Chiral map of genus 79 and type {28,28}_26 isomorphic to its dual Automorphism group of order 364 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X*Y^-1*X^6*Y^-1*X*Y^-2*X*Y^-1 ] .......................... Rotary maps with 183 edges .......................... Orientable map of genus 0 and type {2,183}_366 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 732 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^183 ] Non-orientable map of genus 121 and type {6,122}_183 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 732 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 1 and type {3,6}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 366 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-3*X^-1*Y*X^-1*Y^3*X*Y^-2*X*Y^-1*X*Y^-2 ] .......................... Rotary maps with 184 edges .......................... Orientable map of genus 0 and type {2,184}_184 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 736 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^184 ] Non-orientable map of genus 1 and type {2,368}_368 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 736 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 45 and type {4,92}_92 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 736 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^92 ] Orientable map of genus 46 and type {4,184}_184 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 736 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 66 and type {8,46}_184 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 736 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^46 ] Orientable map of genus 68 and type {8,92}_184 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 736 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 185 edges .......................... Orientable map of genus 0 and type {2,185}_370 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 740 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^185 ] Non-orientable map of genus 145 and type {10,74}_185 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 740 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 186 edges .......................... Orientable map of genus 0 and type {2,186}_186 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 744 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^186 ] Non-orientable map of genus 1 and type {2,372}_372 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 744 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 91 and type {4,93}_93 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 744 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^93 ] Orientable map of genus 60 and type {6,62}_186 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 744 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^62 ] Chiral map of genus 32 and type {6,6}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 372 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y*X^-2*Y*X^-2*Y*X^3*Y*X^-1*Y*X^-2*Y*X^-2 ] .......................... Rotary maps with 187 edges .......................... Orientable map of genus 0 and type {2,187}_374 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 748 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^187 ] Non-orientable map of genus 161 and type {22,34}_187 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 748 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 188 edges .......................... Orientable map of genus 0 and type {2,188}_188 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 752 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^188 ] Non-orientable map of genus 1 and type {2,376}_376 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 752 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 46 and type {4,94}_188 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 752 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^94 ] .......................... Rotary maps with 189 edges .......................... Orientable map of genus 0 and type {2,189}_378 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 756 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^189 ] Orientable map of genus 55 and type {6,21}_42 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 756 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c, (c*b)^21 ] Orientable map of genus 61 and type {6,63}_126 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 756 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (c*b)^63 ] Non-orientable map of genus 157 and type {14,54}_189 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 756 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 161 and type {18,42}_63 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 756 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, c*b*c*b*c*b*c*b*c*a*b*c*a*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] Chiral map of genus 1 and type {3,6}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 378 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 43 and type {6,9}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 378 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-9, X*Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y^-1 ] Chiral map of genus 43 and type {6,9}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 378 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-9, X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y^-1 ] Chiral map of genus 43 and type {6,9}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 378 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-9, Y^2*X*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y*X^-2 ] Chiral map of genus 61 and type {6,63}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 378 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-11*X^2*Y^-1*X*Y^4*X^-1*Y^-5 ] Chiral map of genus 64 and type {9,18}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 378 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, X^-9, Y^2*X^-3*Y^4, Y^2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y ] Chiral map of genus 85 and type {27,54}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 378 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y^-1*X*Y^-1*X*Y^-3*X*Y^-2*X^11*Y^-1*X*Y^-4 ] Chiral map of genus 88 and type {42,63}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 378 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, Y^-1*X^3*Y^-2*X*Y^-2*X^8*Y^-1*X^2*Y^-1 ] .......................... Rotary maps with 190 edges .......................... Orientable map of genus 0 and type {2,190}_190 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 760 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^190 ] Non-orientable map of genus 1 and type {2,380}_380 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 760 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 72 and type {10,38}_190 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 760 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^38 ] Chiral map of genus 91 and type {76,76}_10 isomorphic to its dual Automorphism group of order 380 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X*Y^-1*X^11*Y^-1*X*Y^-3*X^3*Y^-1*X^10*Y^-2*X^2*Y^-1*X ] .......................... Rotary maps with 191 edges .......................... Orientable map of genus 0 and type {2,191}_382 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 764 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^191 ] .......................... Rotary maps with 192 edges .......................... Orientable map of genus 0 and type {2,192}_192 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^192 ] Non-orientable map of genus 1 and type {2,384}_384 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 1 and type {3,6}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^6, a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 21 and type {3,16}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, b*c*a*b*c*b*c*b*c*a*b*c*a^2*b*a*c*b*c*b*c*b*a*c*b*c, b*c*a*b*c*a*b*c*b*c*a*b*c*a*b*c*b*a*c*b*a*c*b*c*b*a*c*b*a*c*b*c ] Orientable map of genus 17 and type {4,6}_6 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b, (a*b*c*b*c*b)^4 ] Orientable map of genus 17 and type {4,6}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, (a*b*c*b)^4, (a*b*c*b*c*b)^4 ] Orientable map of genus 17 and type {4,6}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, c*b*c*a*b*c*a*b*c*a*b*c*b*a*c*b*a*b*c*b*a*b*c*b ] Orientable map of genus 33 and type {4,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*b*c*b*a*b*c*b*c*a*b*a*c*b*c*b*a*b*c*b*c*b, (b*c)^12 ] Orientable map of genus 33 and type {4,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, a*b*c*a*b*c*a*b*c*b*a*b*a*c*b*c*b*c*b*c*b*a*b*c, (b*c)^12 ] Orientable map of genus 33 and type {4,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*c*b*a*b*c*b*a*c*b*c*b*c*b*c*b*a*c*b, c*b*c*a*b*c*a*b*c*a*b*c*b*a*c*b*a*b*c*b*a*b*c*b ] Orientable map of genus 33 and type {4,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, a*b*c*a*b*c*b*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*b*c*b*c, (b*c)^12 ] Orientable map of genus 33 and type {4,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, (b*c)^12 ] Orientable map of genus 33 and type {4,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*a*b*c*b*a*b*a*c*b*a*c*b*c*b*a*b, (b*c)^12 ] Orientable map of genus 41 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, a*b*c*a*b*c*b*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*b*c*b*c, b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c ] Orientable map of genus 41 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^24 ] Orientable map of genus 41 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*b*c*b*a*b*c*b*c*a*b*a*c*b*c*b*a*b*c*b*c*b, c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*a*c*b ] Orientable map of genus 41 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, (b*c)^24 ] Non-orientable map of genus 82 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*c*b*c*b*a*b*c*b*a*b*c*b*c*b*c*b*a*c*b ] Non-orientable map of genus 82 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, (a*b*c*b*c*b)^4 ] Non-orientable map of genus 82 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, a*b*c*a*b*c*a*b*c*b*a*b*a*c*b*c*b*c*b*c*b*a*b*c, c*b*c*a*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b ] Non-orientable map of genus 82 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, (b*c)^24 ] Orientable map of genus 45 and type {4,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 45 and type {4,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^48 ] Orientable map of genus 45 and type {4,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 45 and type {4,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (b*c)^48 ] Orientable map of genus 47 and type {4,96}_96 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 47 and type {4,96}_96 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^96 ] Non-orientable map of genus 94 and type {4,96}_96 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 94 and type {4,96}_96 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^96 ] Orientable map of genus 48 and type {4,192}_192 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 33 and type {6,6}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, c*a*b*c*b*a*b*a*b*a*c*b*c*b*a*b*a*b, a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 33 and type {6,6}_8 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, c*a*b*a*b*c*a*b*a*b*a*c*b*c*b*a*c*b*c*b ] Orientable map of genus 33 and type {6,6}_8 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, c*a*b*c*b*c*a*b*a*b*a*c*b*c*b*a*c*b*a*b, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b ] Orientable map of genus 33 and type {6,6}_8 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (c*b*a*b)^3, (b*c)^6, a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c, (c*b*a*b*a*b*c*b)^3 ] Orientable map of genus 41 and type {6,8}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, (b*c)^8, (a*b*c*b*a*b)^4 ] Orientable map of genus 41 and type {6,8}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^8, c*a*b*c*b*a*b*a*b*a*c*b*c*b*a*b*a*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b ] Orientable map of genus 41 and type {6,8}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b, (b*c)^8 ] Orientable map of genus 41 and type {6,8}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, (b*c)^8, b*a*b*c*b*a*b*c*b*a*c*b*c*b*a*c*b*c, a*b*a*b*c*b*c*b*a*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 41 and type {6,8}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (b*c)^8, b*c*a*b*c*b*c*b*c*a*b*c*a^2*b*a*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 41 and type {6,8}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^8, a*b*a*b*c*b*c*b*a*b*a*c*b*a*c*b*a*c*b*c ] Non-orientable map of genus 82 and type {6,8}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b)^4, (b*c)^8, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b, b*c*a*b*c*a*b*c*a*b*c*b*a*c*b*a*b*a*c*b*c, b*c*b*a*b*a*b*c*a*b*c*b*a*b*c*b*c*b*a*b*a ] Non-orientable map of genus 82 and type {6,8}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, a*b*c*a*b*a*b*a*c*b*a*b*a*c*b, (b*c)^8, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b, b*c*a*b*c*b*c*b*a*b*a*b*a*c*b*a*c*b*c*b*c*b*a ] Orientable map of genus 41 and type {6,8}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, (b*c)^8, c*a*b*c*a*b*c*b*a*b*a*c*b*a*c*b*c*b*a*b ] Orientable map of genus 53 and type {6,16}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, b*c*b*c*b*c*a*b*a*b*a*c*b*c*b*c*b*c*b*c, b*c*a*b*c*b*c*b*c*a*b*c*a^2*b*a*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 53 and type {6,16}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, (a*b*c*b)^4, (b*c)^16 ] Orientable map of genus 53 and type {6,16}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, c*a*b*c*a*b*c*b*a*b*a*c*b*a*c*b*c*b*a*b, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b ] Orientable map of genus 62 and type {6,64}_192 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^64 ] Orientable map of genus 57 and type {8,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (b*c)^12 ] Orientable map of genus 57 and type {8,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, b*c*b*c*b*c*b*a*b*a*c*b*c*b*a*c*b*a, (b*c)^12 ] Orientable map of genus 57 and type {8,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, (b*c)^12 ] Orientable map of genus 57 and type {8,12}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c, (b*c)^12 ] Orientable map of genus 57 and type {8,12}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b, a*b*c*a*b*a*b*a*b*a*c*b*a*b*c*b*c*b ] Orientable map of genus 57 and type {8,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*c*b, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*a*b*c*b*a*b*a*b*c*b*a*c*b*a*c*b ] Orientable map of genus 57 and type {8,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, c*b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*c*b, c*a*b*c*a*b*c*b*a*b*a*b*c*b*a*c*b*a*c*b ] Non-orientable map of genus 114 and type {8,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4 ] Non-orientable map of genus 114 and type {8,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, b*c*b*c*b*a*b*a*b*a*c*b*a*c*b*c*b*a*c ] Non-orientable map of genus 114 and type {8,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, c*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, (b*c)^12 ] Non-orientable map of genus 114 and type {8,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, b*c*a*b*c*a*b*a*b*a*c*b*c*b*c*b*a*b*c, (b*c)^12 ] Orientable map of genus 57 and type {8,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^12 ] Orientable map of genus 57 and type {8,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, b*c*b*c*b*c*b*a*b*a*c*b*c*b*a*c*b*a, (b*c)^12 ] Orientable map of genus 57 and type {8,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b ] Orientable map of genus 57 and type {8,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*c*b, c*a*b*c*a*b*c*b*a*b*a*c*b*a*c*b*c*b*a*b ] Orientable map of genus 57 and type {8,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*a*b*c*b*c*b*a*b*a*b*c*b*c*b*a*c*b ] Orientable map of genus 57 and type {8,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, (b*c)^12 ] Orientable map of genus 57 and type {8,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*c*b*c*b)^2, b*a*b*c*b*a*b*a*b*a*c*b*a*b*a*c*b*c, (b*c)^12 ] Orientable map of genus 57 and type {8,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, (b*c)^12 ] Orientable map of genus 65 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, c*b*c*a*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b ] Orientable map of genus 65 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^24 ] Orientable map of genus 65 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c ] Orientable map of genus 65 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^24 ] Orientable map of genus 65 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c ] Orientable map of genus 65 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, b*c*b*c*b*c*b*a*b*a*c*b*c*b*a*c*b*a, c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*a*c*b ] Orientable map of genus 65 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, c*b*c*b*c*b*c*b*c*a*b*c*a*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 65 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 65 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, c*b*c*a*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 65 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^24 ] Orientable map of genus 65 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*a*b*a*b*a*c*b*c*b*a*b, (b*c)^24 ] Non-orientable map of genus 130 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, b*c*b*c*b*a*b*a*b*a*c*b*a*c*b*c*b*a*c ] Non-orientable map of genus 130 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b ] Non-orientable map of genus 130 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, c*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, b*c*a*b*c*a*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 130 and type {8,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, b*c*a*b*c*a*b*a*b*a*c*b*c*b*c*b*a*b*c, c*b*c*a*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b ] Orientable map of genus 69 and type {8,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 69 and type {8,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, c*b*c*a*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 69 and type {8,48}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 69 and type {8,48}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^48 ] Orientable map of genus 69 and type {8,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 69 and type {8,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 69 and type {8,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 69 and type {8,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*a*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 71 and type {8,96}_96 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 142 and type {8,96}_96 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 69 and type {12,16}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b)^2, c*a*b*c*a*b*c*a*b*a*c*b*c*b*a*b*c*b, a*b*c*a*b*c*b*c*b*c*b*c*b*a*c*b*a*b*a*c*b*a*c*b ] Orientable map of genus 69 and type {12,16}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b)^2, (b*c*b*a*b*c)^3, a*b*c*a*b*c*b*c*b*c*b*c*b*a*c*b*a*b*a*c*b*a*c*b ] Orientable map of genus 69 and type {12,16}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, c*b*c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b*c*b, (a*b)^12 ] Orientable map of genus 69 and type {12,16}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, (a*b)^12, (b*c)^16 ] Orientable map of genus 69 and type {12,16}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, c*a*b*c*b*a*b*a*b*a*b*c*b*a*c*b*a*b, c*b*c*b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 69 and type {12,16}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, (a*b*c*b*c*b*c*b)^2, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b ] Orientable map of genus 75 and type {12,32}_96 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 75 and type {12,32}_96 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^32 ] Orientable map of genus 78 and type {12,64}_192 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 77 and type {16,24}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c ] Orientable map of genus 77 and type {16,24}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, b*a*b*c*a*b*a*b*a*b*a*c*b*a*b*a*c*b*a*c, c*b*c*a*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b ] Orientable map of genus 77 and type {16,24}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, c*b*c*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*a*c*b ] Orientable map of genus 77 and type {16,24}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, b*a*b*a*b*a*b*a*b*a*b*a*c*b*a*b*a*c, (b*c)^24 ] Orientable map of genus 77 and type {16,24}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c, (a*b)^16 ] Orientable map of genus 77 and type {16,24}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, (b*c)^24 ] Orientable map of genus 77 and type {16,24}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, a*b*c*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b, (b*c)^24 ] Orientable map of genus 77 and type {16,24}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, a*b*a*b*a*b*a*b*a*b*c*b*a*b*c*b, (b*c)^24 ] Orientable map of genus 83 and type {24,32}_96 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c ] Orientable map of genus 83 and type {24,32}_96 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 768 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, a*b*c*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*c*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 17 and type {4,6}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, X^4, Y^6, Y^-1*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1, (X*Y^-2)^4 ] Chiral map of genus 33 and type {6,6}_8 isomorphic to its dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, X^6, Y^6, Y*X*Y^-1*X^2*Y*X^-1*Y, (X*Y^-1*X)^4 ] Chiral map of genus 33 and type {6,6}_8 isomorphic to its dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, X^6, Y^6, Y^-1*X^2*Y^-1*X^-2*Y^3*X ] Chiral map of genus 41 and type {6,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, X^6, Y^8, (X*Y^-1)^4, X*Y^-3*X^-2*Y*X^-1*Y^-1*X^2*Y^-1, Y^3*X*Y^-1*X^-2*Y^-1*X^2*Y*X^-1 ] Chiral map of genus 49 and type {6,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, X^6, Y^-2*X^-1*Y*X^2*Y^-1*X*Y^-2, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y ] Chiral map of genus 49 and type {6,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, X^6, Y^-2*X^-1*Y*X^2*Y^-1*X*Y^-2, Y^-2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y^-1 ] Chiral map of genus 65 and type {12,12}_8 isomorphic to its dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, X^12, Y^-1*X^6*Y^-5, X*Y^-1*X*Y^-1*X^3*Y^-3*X*Y^-1 ] Chiral map of genus 65 and type {12,12}_8 isomorphic to its dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, X^12, Y^-1*X^6*Y^-5, X^2*Y^-2*X^3*Y^-1*X*Y^3 ] Chiral map of genus 65 and type {12,12}_8 isomorphic to its dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, Y^-1*X*Y^-1*X^3*Y*X^-1*Y^-2, Y*X^-1*Y*X^3*Y^-1*X*Y^2 ] Chiral map of genus 81 and type {16,48}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y^-5*X^2*Y^-1*X^-2*Y^-6 ] Chiral map of genus 89 and type {48,48}_8 isomorphic to its dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y^-1*X^6*Y^-1*X^2*Y^-2 ] .......................... Rotary maps with 193 edges .......................... Orientable map of genus 0 and type {2,193}_386 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 772 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^193 ] .......................... Rotary maps with 194 edges .......................... Orientable map of genus 0 and type {2,194}_194 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 776 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^194 ] Non-orientable map of genus 1 and type {2,388}_388 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 776 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_194 isomorphic to its dual Automorphism group of order 388 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X ] .......................... Rotary maps with 195 edges .......................... Orientable map of genus 0 and type {2,195}_390 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 780 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^195 ] Non-orientable map of genus 129 and type {6,130}_195 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 780 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 153 and type {10,78}_195 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 780 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 169 and type {26,30}_195 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 780 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b ] Chiral map of genus 53 and type {6,15}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 390 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y^2 ] Chiral map of genus 79 and type {15,30}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 390 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^2, X^-15 ] .......................... Rotary maps with 196 edges .......................... Orientable map of genus 0 and type {2,196}_196 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 784 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^196 ] Non-orientable map of genus 1 and type {2,392}_392 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 784 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 1 and type {4,4}_14 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 784 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^4, a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 48 and type {4,98}_196 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 784 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^98 ] Orientable map of genus 50 and type {8,8}_14 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 784 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*c*b*a*b)^2, (a*b*c*b)^4, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*c*b ] Orientable map of genus 78 and type {14,28}_28 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 784 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^14, (b*c)^28 ] Orientable map of genus 78 and type {14,28}_28 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 784 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*c*b*c*b, (a*b)^14 ] Chiral map of genus 91 and type {49,49}_4 isomorphic to its mirror-dual Automorphism group of order 392 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^3*Y^-33*X^12*Y^-1 ] .......................... Rotary maps with 197 edges .......................... Orientable map of genus 0 and type {2,197}_394 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 788 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^197 ] .......................... Rotary maps with 198 edges .......................... Orientable map of genus 0 and type {2,198}_198 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 792 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^198 ] Non-orientable map of genus 1 and type {2,396}_396 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 792 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 97 and type {4,99}_99 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 792 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^99 ] Non-orientable map of genus 125 and type {6,44}_44 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 792 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*a*b*a*c*b*a*c*b*a, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 64 and type {6,66}_66 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 792 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 64 and type {6,66}_66 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 792 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^66 ] Orientable map of genus 80 and type {18,22}_198 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 792 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, (b*c)^22 ] .......................... Rotary maps with 199 edges .......................... Orientable map of genus 0 and type {2,199}_398 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 796 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^199 ] .......................... Rotary maps with 200 edges .......................... Orientable map of genus 0 and type {2,200}_200 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 800 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^200 ] Non-orientable map of genus 1 and type {2,400}_400 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 800 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 1 and type {4,4}_20 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 800 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^4, (a*b*c*b)^10 ] Non-orientable map of genus 86 and type {4,25}_25 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 800 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, a*b*c*a*b*c*b*a*b*a*c*b*c*b*c*b*a*b*c, (c*b)^25 ] Orientable map of genus 49 and type {4,100}_100 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 800 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^100 ] Orientable map of genus 50 and type {4,200}_200 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 800 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 51 and type {8,8}_10 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 800 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*c*b*c*b*c*b, (a*b)^8, a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 51 and type {8,8}_20 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 800 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*c*b*c*b*c*b, (a*b)^8, a*b*a*c*b*c*a*b*a*b*c*b*c*b*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 72 and type {8,50}_200 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 800 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^50 ] Orientable map of genus 74 and type {8,100}_200 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 800 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 76 and type {10,40}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 800 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^10, (b*c)^40 ] Orientable map of genus 76 and type {10,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 800 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b, (a*b)^10 ] Orientable map of genus 81 and type {20,20}_20 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 800 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^20, (b*c)^20 ] Orientable map of genus 86 and type {20,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 800 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b, b*a*b*c*b*c*b*c*a*b*c*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a ] Orientable map of genus 86 and type {20,40}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 800 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^20, b*c*b*c*b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_100 isomorphic to its dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^-2*X^2*Y^-1 ] Chiral map of genus 41 and type {4,20}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^20 ] Chiral map of genus 51 and type {8,8}_4 isomorphic to its dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, (X*Y^-1)^4, X^-2*Y^-4*X^4*Y^2 ] Chiral map of genus 51 and type {8,8}_10 isomorphic to its mirror-dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X^-2*Y^-4*X^4*Y^-2 ] Chiral map of genus 51 and type {8,8}_50 isomorphic to its dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 51 and type {8,8}_100 isomorphic to its dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 71 and type {8,40}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, X^-1*Y^2*X*Y^-2*X^2*Y^-6 ] Chiral map of genus 71 and type {8,40}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^6*X^2*Y*X^-1*Y^-2*X*Y ] Chiral map of genus 81 and type {20,20}_20 isomorphic to its dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, X^3*Y^-3*X*Y^-1*X^6*Y^-1*X*Y^-1*X*Y^-2 ] Chiral map of genus 91 and type {40,40}_10 isomorphic to its dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^-1*X^13*Y^-1*X*Y^-3*X^3*Y^-1*X^9*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 91 and type {40,40}_20 isomorphic to its dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^-2*X*Y^-3*X*Y^-1*X^5*Y^-1*X*Y^-1*X*Y^-2*X ] .......................... Rotary maps with 201 edges .......................... Orientable map of genus 0 and type {2,201}_402 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 804 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^201 ] Non-orientable map of genus 133 and type {6,134}_201 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 804 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 1 and type {3,6}_134 not isomorphic to its dual or mirror-dual Automorphism group of order 402 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y ] .......................... Rotary maps with 202 edges .......................... Orientable map of genus 0 and type {2,202}_202 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 808 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^202 ] Non-orientable map of genus 1 and type {2,404}_404 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 808 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_202 isomorphic to its dual Automorphism group of order 404 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] .......................... Rotary maps with 203 edges .......................... Orientable map of genus 0 and type {2,203}_406 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 812 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^203 ] Non-orientable map of genus 169 and type {14,58}_203 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 812 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 59 and type {7,14}_58 not isomorphic to its dual or mirror-dual Automorphism group of order 406 with defining relations: [ (X*Y)^2, X^7, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y*X*Y^-1*X^-3*Y^4*X^-1 ] Chiral map of genus 59 and type {7,14}_58 not isomorphic to its dual or mirror-dual Automorphism group of order 406 with defining relations: [ (X*Y)^2, X^7, Y*X*Y^-1*X^2*Y*X^-1*Y ] Chiral map of genus 59 and type {7,14}_58 not isomorphic to its dual or mirror-dual Automorphism group of order 406 with defining relations: [ (X*Y)^2, X^7, Y*X*Y^-1*X^-3*Y*X^-3*Y ] .......................... Rotary maps with 204 edges .......................... Orientable map of genus 0 and type {2,204}_204 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 816 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^204 ] Non-orientable map of genus 1 and type {2,408}_408 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 816 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 48 and type {4,51}_102 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 816 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (c*b)^51 ] Non-orientable map of genus 100 and type {4,102}_102 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 816 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^102 ] Orientable map of genus 50 and type {4,102}_204 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 816 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^102 ] Orientable map of genus 65 and type {6,51}_68 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 816 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b ] Orientable map of genus 66 and type {6,68}_204 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 816 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^68 ] Orientable map of genus 80 and type {12,34}_204 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 816 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^34 ] Orientable map of genus 83 and type {12,68}_102 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 816 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 35 and type {4,12}_102 not isomorphic to its dual or mirror-dual Automorphism group of order 408 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 69 and type {12,12}_34 isomorphic to its dual Automorphism group of order 408 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 86 and type {24,24}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 408 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y^-1*X^6*Y^-2*X^3 ] .......................... Rotary maps with 205 edges .......................... Orientable map of genus 0 and type {2,205}_410 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 820 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^205 ] Non-orientable map of genus 161 and type {10,82}_205 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 820 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 42 and type {5,10}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 410 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, (X*Y^-2*X*Y^-1)^2, Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^-2*X^2 ] Chiral map of genus 42 and type {5,10}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 410 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, (X*Y^-2*X*Y^-1)^2, X^-1*Y*X^-1*Y*X^-2*Y*X^-1*Y^-3 ] .......................... Rotary maps with 206 edges .......................... Orientable map of genus 0 and type {2,206}_206 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 824 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^206 ] Non-orientable map of genus 1 and type {2,412}_412 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 824 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 207 edges .......................... Orientable map of genus 0 and type {2,207}_414 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 828 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^207 ] Orientable map of genus 67 and type {6,69}_138 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 828 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (c*b)^69 ] Non-orientable map of genus 177 and type {18,46}_207 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 828 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] .......................... Rotary maps with 208 edges .......................... Orientable map of genus 0 and type {2,208}_208 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 832 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^208 ] Non-orientable map of genus 1 and type {2,416}_416 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 832 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 49 and type {4,52}_52 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 832 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^52 ] Orientable map of genus 51 and type {4,104}_104 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 832 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 51 and type {4,104}_104 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 832 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^104 ] Orientable map of genus 52 and type {4,208}_208 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 832 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 75 and type {8,52}_104 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 832 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^52 ] Orientable map of genus 75 and type {8,52}_104 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 832 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^8, (b*c)^52 ] Orientable map of genus 84 and type {16,26}_208 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 832 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, (b*c)^26 ] Orientable map of genus 88 and type {16,52}_208 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 832 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_52 isomorphic to its dual Automorphism group of order 416 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 27 and type {4,8}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 416 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X^-1*Y^2*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 27 and type {4,8}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 416 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X^-1*Y^2*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 53 and type {8,8}_52 isomorphic to its dual Automorphism group of order 416 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^2 ] Chiral map of genus 53 and type {8,8}_52 isomorphic to its dual Automorphism group of order 416 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 79 and type {16,16}_26 isomorphic to its dual Automorphism group of order 416 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, Y^-3*X*Y^-1*X^8*Y^-2*X ] Chiral map of genus 79 and type {16,16}_52 isomorphic to its dual Automorphism group of order 416 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-2*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y^-1 ] .......................... Rotary maps with 209 edges .......................... Orientable map of genus 0 and type {2,209}_418 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 836 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^209 ] Non-orientable map of genus 181 and type {22,38}_209 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 836 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*b*c*b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] .......................... Rotary maps with 210 edges .......................... Orientable map of genus 0 and type {2,210}_210 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 840 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^210 ] Non-orientable map of genus 1 and type {2,420}_420 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 840 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 103 and type {4,105}_105 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 840 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^105 ] Non-orientable map of genus 130 and type {6,35}_35 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 840 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*c*b*a*b*a*c*b*a*c*b*a*c*b*a, b*c*b*c*a*b*c*b*a*b*a*b*c*b*a*c*b*c*b*c ] Orientable map of genus 68 and type {6,70}_210 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 840 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^70 ] Non-orientable map of genus 150 and type {10,21}_35 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 840 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^10, b*c*b*c*a*b*c*b*a*b*a*b*c*b*a*c*b*c*b*a*c, b*c*a*b*c*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*c*b*a ] Orientable map of genus 80 and type {10,42}_210 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 840 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^42 ] Orientable map of genus 84 and type {14,30}_210 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 840 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, (b*c)^30 ] Orientable map of genus 94 and type {30,42}_70 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 840 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*c*b*a*b*a*c, b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c ] Chiral map of genus 64 and type {6,30}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 420 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^3*X*Y^-2*X*Y^3*X^-2*Y^2 ] Chiral map of genus 64 and type {6,30}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 420 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X*Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y^-1, Y^5*X*Y^-1*X^3*Y*X^-2*Y^3 ] Chiral map of genus 92 and type {30,30}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 420 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^5*Y^-1*X*Y^-1*X^3*Y^-2*X^10*Y^-1*X*Y^-2*X*Y^-1*X ] Chiral map of genus 101 and type {84,84}_10 isomorphic to its dual Automorphism group of order 420 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^-1*X^15*Y^-1*X*Y^-3*X^3*Y^-1*X^9*Y^-1*X^2*Y^-1*X*Y^-1*X^2 ] .......................... Rotary maps with 211 edges .......................... Orientable map of genus 0 and type {2,211}_422 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 844 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^211 ] .......................... Rotary maps with 212 edges .......................... Orientable map of genus 0 and type {2,212}_212 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 848 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^212 ] Non-orientable map of genus 1 and type {2,424}_424 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 848 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 52 and type {4,106}_212 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 848 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^106 ] Chiral map of genus 1 and type {4,4}_106 isomorphic to its dual Automorphism group of order 424 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] .......................... Rotary maps with 213 edges .......................... Orientable map of genus 0 and type {2,213}_426 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 852 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^213 ] Non-orientable map of genus 141 and type {6,142}_213 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 852 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 214 edges .......................... Orientable map of genus 0 and type {2,214}_214 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 856 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^214 ] Non-orientable map of genus 1 and type {2,428}_428 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 856 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 215 edges .......................... Orientable map of genus 0 and type {2,215}_430 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 860 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^215 ] Non-orientable map of genus 169 and type {10,86}_215 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 860 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 216 edges .......................... Orientable map of genus 0 and type {2,216}_216 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^216 ] Non-orientable map of genus 1 and type {2,432}_432 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 19 and type {3,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, c*a*b*c*b*c*b*c*b*c*b*a*b*c*b*c*b*c*b*c*b*a*c*b, a*b*c*a*b*c*a*b*c*a*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 37 and type {4,12}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, (a*b*c*b)^6, (b*c)^12 ] Orientable map of genus 37 and type {4,12}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b, b*c*a*b*c*a*b*c*b*c*b*a*b*c*b*c*b*a*b*c*b*c, (a*b*c*b)^6 ] Orientable map of genus 51 and type {4,54}_54 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (b*c)^54 ] Orientable map of genus 53 and type {4,108}_108 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^108 ] Non-orientable map of genus 106 and type {4,108}_108 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 106 and type {4,108}_108 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^108 ] Orientable map of genus 54 and type {4,216}_216 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 37 and type {6,6}_12 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, c*a*b*c*b*c*a*b*a*b*a*c*b*c*b*a*c*b*a*b, c*a*b*a*b*c*b*a*b*a*b*a*c*b*a*b*c*b*a*b*a*b, c*a*b*c*b*c*b*a*b*c*b*a*b*c*b*c*b*a*c*b*c*b ] Orientable map of genus 37 and type {6,6}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (b*c)^6, c*a*b*c*a*b*c*b*a*b*c*b*c*a*b*c*b*a*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] Orientable map of genus 46 and type {6,8}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, (b*c)^8, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b ] Orientable map of genus 46 and type {6,8}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, (b*c)^8, (a*b*c*b*a*b*c*b*a*b)^2 ] Orientable map of genus 55 and type {6,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, b*c*b*c*a*b*a*b*a*c*b*c*b*c*b*c, c*a*b*c*a*b*c*b*a*b*c*b*c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b*a*c*b*a*c*b ] Orientable map of genus 61 and type {6,18}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, (b*c)^18 ] Orientable map of genus 64 and type {6,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^24 ] Orientable map of genus 64 and type {6,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c, (b*c)^24 ] Orientable map of genus 64 and type {6,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, c*a*b*c*b*c*a*b*a*b*a*c*b*c*b*a*c*b*a*b, c*b*c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b*c*b ] Orientable map of genus 64 and type {6,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (b*c)^24 ] Orientable map of genus 64 and type {6,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, (a*b*c*b*a*b*c*b*a*b)^2, b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 70 and type {6,72}_72 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (b*c)^72 ] Orientable map of genus 64 and type {8,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*c*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b ] Orientable map of genus 64 and type {8,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*c*b, b*c*a*b*a*b*c*a*b*c*b*a*b*c*b*a*b*c*b*c*b*a ] Orientable map of genus 74 and type {8,27}_108 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (c*b)^27 ] Orientable map of genus 78 and type {8,54}_108 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 78 and type {8,54}_216 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^54 ] Orientable map of genus 80 and type {8,108}_216 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 67 and type {9,12}_72 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b)^2, (b*a)^9, b*c*a*b*c*b*c*a*b*c*b*a*b*c*b*c*b*c*b*a*b*c ] Orientable map of genus 76 and type {9,24}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b)^2, (b*a)^9, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b ] Orientable map of genus 73 and type {12,12}_12 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*a*b*c*b*a*b*a*b*c*b*a*b*c*b, c*a*b*c*b*a*b*a*b*a*b*c*b*a*c*b*a*b, (a*b)^12, (b*c)^12 ] Orientable map of genus 73 and type {12,12}_12 invariant under all six Wilson transforms Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^12, (a*b*c*b*a*b*a*b*a*b*a*b)^2, (b*c)^12 ] Orientable map of genus 73 and type {12,12}_12 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*b*c*b*a*c*b, (a*b)^12, (a*b*c*b)^6 ] Orientable map of genus 73 and type {12,12}_12 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*a*b*a*b*a*b*a*b*c*b*c*b*c*b, b*a*b*c*b*a*b*a*b*a*c*b*c*b*a*c*b*a, (a*b*c*b)^6 ] Non-orientable map of genus 146 and type {12,12}_12 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, a*b*c*a*b*a*b*a*c*b*a*b*a*c*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, c*b*c*b*a*b*c*b*a*b*a*b*c*b*a*b*c*b*c*b ] Orientable map of genus 79 and type {12,18}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c, (b*c)^18 ] Orientable map of genus 79 and type {12,18}_72 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, c*a*b*a*b*c*b*a*b*a*b*a*b*c*b*a*b*a*c*b*a*b, b*c*a*b*c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b*c ] Orientable map of genus 82 and type {12,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^12, (a*b*c*b*a*b*a*b*a*b*a*b)^2, c*b*c*b*c*b*c*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 82 and type {12,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*b*a*c*b*c*b*a*b*c*b, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, (a*b)^12, b*c*b*c*a*b*c*b*c*b*c*b*c*a^2*b*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 82 and type {12,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^12, (a*b*c*b*a*b*a*b*a*b*a*b)^2, c*b*c*a*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*a*c*b*c*b*a*c*b ] Orientable map of genus 82 and type {12,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*b*a*c*b*a*c*b*a*b*a, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, c*a*b*c*b*c*a*b*a*b*a*c*b*c*b*a*c*b*a*b ] Orientable map of genus 82 and type {12,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b*c*b)^2, c*b*c*a*b*a*b*a*b*a*c*b*c*b*a*b*a*b ] Orientable map of genus 85 and type {12,36}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^36 ] Orientable map of genus 88 and type {12,72}_72 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 88 and type {18,24}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b)^2, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b, c*a*b*c*a*b*c*a*b*a*b*a*b*a*b*a*c*b*a*c*b*a*c*b ] Orientable map of genus 88 and type {18,24}_72 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, (b*c)^24 ] Orientable map of genus 88 and type {18,24}_72 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b, (a*b*c*b*a*b*a*b*a*b*a*b)^2, (a*b)^18 ] Orientable map of genus 94 and type {24,36}_72 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b*a*b*c*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] Orientable map of genus 94 and type {24,36}_72 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 864 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] Chiral map of genus 10 and type {3,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^3, Y^8, Y*X^-1*Y^3*X^-1*Y^2*X^2*Y^-3*X*Y^-2*X*Y ] Chiral map of genus 28 and type {4,8}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^4, Y^8, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^2*X^-1*Y*X*Y^-1*X*Y^4*X^-1 ] Chiral map of genus 46 and type {4,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^2*X^-1*Y*X*Y^-1*X^-1*Y^2*X^-1*Y^2, Y^2*X*Y^-5*X^2*Y^-2*X*Y^3 ] Chiral map of genus 46 and type {6,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^6, Y^8, Y^-1*X^2*Y^-1*X^-2*Y^4*X, (Y*X^-1*Y)^3 ] Chiral map of genus 61 and type {6,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^-1*Y*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 70 and type {6,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^12*X^2*Y*X^-2*Y^11 ] Chiral map of genus 55 and type {8,8}_6 isomorphic to its dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X*Y^-1*X^2*Y*X^-1*Y, X^-1*Y^-4*X^-2*Y^-1*X*Y^3 ] Chiral map of genus 64 and type {8,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X*Y^-1*X^3*Y^-2*X^2 ] Chiral map of genus 64 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-4*Y^-1*X*Y^-1, Y^2*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 64 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X*Y^-1*X^3*Y*X^-1*Y^-1*X ] Chiral map of genus 73 and type {8,24}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^3*X^3*Y^-1*X*Y^2 ] Chiral map of genus 67 and type {9,12}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, (X*Y^-1*X)^2, X^-9, (X*Y^-5)^2, Y^-2*X*Y^-2*X^-2*Y^-1*X*Y^-2*X*Y^-1 ] Chiral map of genus 76 and type {9,24}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, (X*Y^-1*X)^2, X^-9, X*Y^-3*X^-2*Y^5 ] Chiral map of genus 79 and type {12,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, X^12, Y*X*Y^-1*X^5*Y*X^-2*Y^3 ] Chiral map of genus 79 and type {12,18}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^-3*Y*X^-1*Y*X^-2*Y^-1 ] Chiral map of genus 82 and type {12,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^-1*Y^2*X^2*Y^3*X^-1 ] Chiral map of genus 85 and type {12,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, X^-1*Y^6*X^-2*Y^4*X^-1*Y^-2 ] Chiral map of genus 88 and type {12,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, X*Y^-6*X^2*Y^-1*X*Y^5 ] Chiral map of genus 88 and type {18,24}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, (X*Y^-1*X)^2, Y^2*X*Y^-2*X^-2*Y^-1*X*Y^-2*X*Y, Y^-5*X^-2*Y^-3*X*Y^-2 ] Chiral map of genus 88 and type {18,24}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, Y^-2*X^4*Y*X^-1*Y^-1*X, Y^-2*X^2*Y^-1*X^2*Y^-5 ] Chiral map of genus 91 and type {24,24}_6 isomorphic to its dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^5*Y*X^-1*Y^2, X^-1*Y^4*X^-5*Y*X^-2*Y*X^-6*Y*X^-1*Y*X^-1 ] Chiral map of genus 94 and type {24,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, Y^-3*X^3*Y*X^-1*Y^-2 ] Chiral map of genus 97 and type {24,72}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, Y^3*X^-1*Y^3*X^-1*Y^2*X^-9*Y*X^-2*Y*X^-1 ] Chiral map of genus 97 and type {24,72}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^2*Y^-1*X^4*Y^-5 ] .......................... Rotary maps with 217 edges .......................... Orientable map of genus 0 and type {2,217}_434 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 868 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^217 ] Non-orientable map of genus 181 and type {14,62}_217 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 868 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 218 edges .......................... Orientable map of genus 0 and type {2,218}_218 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 872 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^218 ] Non-orientable map of genus 1 and type {2,436}_436 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 872 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_218 isomorphic to its dual Automorphism group of order 436 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1 ] .......................... Rotary maps with 219 edges .......................... Orientable map of genus 0 and type {2,219}_438 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 876 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^219 ] Non-orientable map of genus 145 and type {6,146}_219 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 876 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 1 and type {3,6}_146 not isomorphic to its dual or mirror-dual Automorphism group of order 438 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^3*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] .......................... Rotary maps with 220 edges .......................... Orientable map of genus 0 and type {2,220}_220 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 880 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^220 ] Non-orientable map of genus 1 and type {2,440}_440 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 880 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 54 and type {4,110}_220 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 880 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^110 ] Orientable map of genus 84 and type {10,44}_220 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 880 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^44 ] Orientable map of genus 90 and type {20,22}_220 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 880 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^20, (b*c)^22 ] Orientable map of genus 95 and type {20,44}_110 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 880 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^20, b*c*b*c*b*c*b*c*b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c ] Chiral map of genus 51 and type {4,44}_110 not isomorphic to its dual or mirror-dual Automorphism group of order 440 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^11*X*Y^-1*X*Y*X^-1*Y^-5*X*Y^4 ] Chiral map of genus 78 and type {10,20}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 440 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-1*X*Y^-2*X^2*Y^-3*X ] Chiral map of genus 78 and type {10,20}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 440 with defining relations: [ (X*Y)^2, X^10, Y^-2*X^4*Y^-1*X^2*Y^-1 ] Chiral map of genus 78 and type {10,20}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 440 with defining relations: [ (X*Y)^2, X^10, Y^-1*X*Y^-1*X^3*Y^-4 ] Chiral map of genus 78 and type {10,20}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 440 with defining relations: [ (X*Y)^2, X^10, X*Y^-2*X^3*Y^-1*X^2*Y^-1, X*Y^-1*X*Y^-1*X^2*Y^-4 ] Chiral map of genus 89 and type {20,20}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 440 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, Y^3*X^-2*Y^2*X^-11*Y*X^-1 ] Chiral map of genus 89 and type {20,20}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 440 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^-1*Y*X^-4*Y^2*X^-10*Y*X^-1 ] Chiral map of genus 101 and type {44,44}_10 isomorphic to its dual Automorphism group of order 440 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X^2*Y*X^-1*Y, X^2*Y^-13*X^3*Y^-5*X^11*Y^-1*X*Y^-1*X^3*Y^-1*X*Y^-1*X ] .......................... Rotary maps with 221 edges .......................... Orientable map of genus 0 and type {2,221}_442 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 884 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^221 ] Non-orientable map of genus 193 and type {26,34}_221 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 884 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*b*c*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] .......................... Rotary maps with 222 edges .......................... Orientable map of genus 0 and type {2,222}_222 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 888 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^222 ] Non-orientable map of genus 1 and type {2,444}_444 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 888 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 109 and type {4,111}_111 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 888 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^111 ] Orientable map of genus 72 and type {6,74}_222 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 888 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^74 ] Chiral map of genus 38 and type {6,6}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 444 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y^-1*X^-2*Y*X^2*Y^-1*X^2*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-2*X^2 ] Chiral map of genus 75 and type {12,12}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 444 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, X^12, Y^-2*X^5*Y^-1*X^3*Y^-1 ] Chiral map of genus 75 and type {12,12}_74 isomorphic to its dual Automorphism group of order 444 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y^-2*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y^-1*X ] .......................... Rotary maps with 223 edges .......................... Orientable map of genus 0 and type {2,223}_446 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 892 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^223 ] .......................... Rotary maps with 224 edges .......................... Orientable map of genus 0 and type {2,224}_224 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 896 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^224 ] Non-orientable map of genus 1 and type {2,448}_448 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 896 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 50 and type {4,7}_7 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 896 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (c*b)^7, (a*b*c*b)^4, b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c ] Orientable map of genus 49 and type {4,28}_56 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 896 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^28 ] Orientable map of genus 53 and type {4,56}_56 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 896 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^56 ] Orientable map of genus 55 and type {4,112}_112 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 896 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 55 and type {4,112}_112 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 896 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^112 ] Orientable map of genus 56 and type {4,224}_224 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 896 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 77 and type {8,28}_28 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 896 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^28 ] Orientable map of genus 77 and type {8,28}_56 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 896 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^28 ] Orientable map of genus 81 and type {8,56}_56 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 896 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 81 and type {8,56}_56 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 896 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^56 ] Orientable map of genus 81 and type {8,56}_56 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 896 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 81 and type {8,56}_56 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 896 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 83 and type {8,112}_112 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 896 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 90 and type {14,32}_224 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 896 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, (b*c)^32 ] Orientable map of genus 91 and type {16,28}_112 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 896 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, (b*c)^28 ] Orientable map of genus 91 and type {16,28}_112 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 896 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, b*a*b*a*b*a*b*a*b*a*b*a*c*b*a*b*a*c, (b*c)^28 ] Orientable map of genus 95 and type {16,56}_112 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 896 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 95 and type {16,56}_112 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 896 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, b*a*b*a*b*a*b*a*b*a*b*a*c*b*a*b*a*c, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 98 and type {28,32}_224 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 896 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] Chiral map of genus 89 and type {14,28}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 448 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y*X^-2*Y^2, X^14 ] Chiral map of genus 97 and type {28,28}_4 isomorphic to its mirror-dual Automorphism group of order 448 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X^-4*Y^9*X^-2*Y*X^-9*Y*X^-1*Y ] Chiral map of genus 105 and type {56,56}_4 isomorphic to its mirror-dual Automorphism group of order 448 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X^-4*Y^9*X^-2*Y*X^-8*Y*X^-3 ] Chiral map of genus 105 and type {56,56}_4 isomorphic to its mirror-dual Automorphism group of order 448 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-1*Y, X*Y^-1*X^38*Y^-2*X^14 ] .......................... Rotary maps with 225 edges .......................... Orientable map of genus 0 and type {2,225}_450 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 900 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^225 ] Orientable map of genus 1 and type {3,6}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 900 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^6, b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c ] Orientable map of genus 73 and type {6,75}_150 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 900 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (c*b)^75 ] Orientable map of genus 66 and type {9,10}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 900 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b)^2, (b*a)^9, c*b*a*b*c*b*c*a*b*a*c*b*c*b*a*b*c*b, (b*c)^10 ] Orientable map of genus 86 and type {10,45}_90 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 900 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^10, (c*b)^45 ] Orientable map of genus 91 and type {15,30}_30 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 900 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*c*b*c*b, (b*a)^15 ] Non-orientable map of genus 193 and type {18,50}_225 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 900 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] .......................... Rotary maps with 226 edges .......................... Orientable map of genus 0 and type {2,226}_226 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 904 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^226 ] Non-orientable map of genus 1 and type {2,452}_452 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 904 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_226 isomorphic to its dual Automorphism group of order 452 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^-2 ] .......................... Rotary maps with 227 edges .......................... Orientable map of genus 0 and type {2,227}_454 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 908 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^227 ] .......................... Rotary maps with 228 edges .......................... Orientable map of genus 0 and type {2,228}_228 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 912 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^228 ] Non-orientable map of genus 1 and type {2,456}_456 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 912 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 54 and type {4,57}_114 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 912 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (c*b)^57 ] Non-orientable map of genus 112 and type {4,114}_114 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 912 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^114 ] Orientable map of genus 56 and type {4,114}_228 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 912 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^114 ] Orientable map of genus 73 and type {6,57}_76 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 912 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 74 and type {6,76}_228 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 912 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^76 ] Orientable map of genus 90 and type {12,38}_228 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 912 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^38 ] Orientable map of genus 93 and type {12,76}_114 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 912 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {3,6}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 456 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^3*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y ] Chiral map of genus 58 and type {6,12}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 456 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, Y^-1*X^2*Y^-1*X^-2*Y*X^3*Y*X^-2*Y*X^-1*Y^-1 ] Chiral map of genus 58 and type {6,12}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 456 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, X^-1*Y*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-3*X*Y^-1 ] Chiral map of genus 77 and type {12,12}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 456 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^12, X*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y^-1*X^2*Y^2 ] .......................... Rotary maps with 229 edges .......................... Orientable map of genus 0 and type {2,229}_458 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 916 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^229 ] .......................... Rotary maps with 230 edges .......................... Orientable map of genus 0 and type {2,230}_230 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 920 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^230 ] Non-orientable map of genus 1 and type {2,460}_460 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 920 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 88 and type {10,46}_230 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 920 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^46 ] Chiral map of genus 111 and type {92,92}_10 isomorphic to its dual Automorphism group of order 460 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^-1*X*Y^-25*X^10*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-2 ] .......................... Rotary maps with 231 edges .......................... Orientable map of genus 0 and type {2,231}_462 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 924 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^231 ] Non-orientable map of genus 153 and type {6,154}_231 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 924 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 193 and type {14,66}_231 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 924 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 201 and type {22,42}_231 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 924 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] Chiral map of genus 71 and type {6,33}_154 not isomorphic to its dual or mirror-dual Automorphism group of order 462 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X*Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y^-1, X*Y^-6*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 106 and type {33,66}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 462 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y^4*X^-3*Y*X^-2*Y*X^-1*Y*X^-1*Y*X^-10*Y^4*X^-1*Y^2*X^-1 ] .......................... Rotary maps with 232 edges .......................... Orientable map of genus 0 and type {2,232}_232 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 928 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^232 ] Non-orientable map of genus 1 and type {2,464}_464 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 928 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 57 and type {4,116}_116 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 928 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^116 ] Orientable map of genus 58 and type {4,232}_232 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 928 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 84 and type {8,58}_232 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 928 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^58 ] Orientable map of genus 86 and type {8,116}_232 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 928 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_116 isomorphic to its dual Automorphism group of order 464 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1 ] Chiral map of genus 59 and type {8,8}_58 isomorphic to its dual Automorphism group of order 464 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-2*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 59 and type {8,8}_116 isomorphic to its dual Automorphism group of order 464 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] .......................... Rotary maps with 233 edges .......................... Orientable map of genus 0 and type {2,233}_466 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 932 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^233 ] .......................... Rotary maps with 234 edges .......................... Orientable map of genus 0 and type {2,234}_234 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 936 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^234 ] Non-orientable map of genus 1 and type {2,468}_468 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 936 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 115 and type {4,117}_117 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 936 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^117 ] Non-orientable map of genus 149 and type {6,52}_52 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 936 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*a*b*a*c*b*a*c*b*a, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 76 and type {6,78}_78 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 936 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 76 and type {6,78}_78 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 936 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^78 ] Orientable map of genus 96 and type {18,26}_234 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 936 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, (b*c)^26 ] Chiral map of genus 1 and type {4,4}_78 isomorphic to its dual Automorphism group of order 468 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^-2*X^2*Y^2*X ] Chiral map of genus 40 and type {6,6}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 468 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, X^-1*Y^-3*X*Y^-1*X*Y^3*X^-1*Y, Y*X*Y^-1*X*Y^-1*X^-2*Y^-1*X^2*Y*X^-2*Y ] Chiral map of genus 40 and type {6,6}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 468 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X^2*Y^2*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y^-1 ] Chiral map of genus 92 and type {18,18}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 468 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1, X*Y^-3*X^11*Y^-3 ] Chiral map of genus 105 and type {36,36}_26 isomorphic to its dual Automorphism group of order 468 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, Y^-4*X^6*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1 ] Chiral map of genus 105 and type {36,36}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 468 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y^3*X^3*Y^-1*X*Y^2, X*Y^-1*X*Y^-1*X^13*Y^-1 ] .......................... Rotary maps with 235 edges .......................... Orientable map of genus 0 and type {2,235}_470 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 940 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^235 ] Non-orientable map of genus 185 and type {10,94}_235 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 940 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 236 edges .......................... Orientable map of genus 0 and type {2,236}_236 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 944 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^236 ] Non-orientable map of genus 1 and type {2,472}_472 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 944 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 58 and type {4,118}_236 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 944 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^118 ] .......................... Rotary maps with 237 edges .......................... Orientable map of genus 0 and type {2,237}_474 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 948 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^237 ] Non-orientable map of genus 157 and type {6,158}_237 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 948 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 1 and type {3,6}_158 not isomorphic to its dual or mirror-dual Automorphism group of order 474 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-1 ] .......................... Rotary maps with 238 edges .......................... Orientable map of genus 0 and type {2,238}_238 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 952 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^238 ] Non-orientable map of genus 1 and type {2,476}_476 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 952 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 96 and type {14,34}_238 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 952 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, (b*c)^34 ] Chiral map of genus 103 and type {28,28}_34 isomorphic to its dual Automorphism group of order 476 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X^6*Y^-2*X*Y^-1*X*Y^-1 ] .......................... Rotary maps with 239 edges .......................... Orientable map of genus 0 and type {2,239}_478 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 956 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^239 ] .......................... Rotary maps with 240 edges .......................... Orientable map of genus 0 and type {2,240}_240 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^240 ] Non-orientable map of genus 1 and type {2,480}_480 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 21 and type {4,6}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b ] Orientable map of genus 37 and type {4,10}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*a*b*c*b)^2, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b ] Orientable map of genus 41 and type {4,12}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b, c*b*a*b*c*a*b*c*b*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b, a*b*c*a*b*c*b*a*b*c*b*c*a*b*a*c*b*c*b*a*b*c*b*c ] Orientable map of genus 45 and type {4,15}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b*c*b)^2, (c*b)^15 ] Non-orientable map of genus 98 and type {4,20}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*a*b*c*b)^2, b*c*a*b*c*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*c*b*c ] Non-orientable map of genus 98 and type {4,20}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, a*b*c*b*a*b*a*c*b*a*b*c*b, a*b*c*a*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 106 and type {4,30}_30 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, (b*c)^30 ] Non-orientable map of genus 106 and type {4,30}_30 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, a*b*c*a*b*c*b*a*b*a*c*b*c*b*c*b*a*b*c, (b*c)^30 ] Orientable map of genus 53 and type {4,30}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, (b*c)^30 ] Orientable map of genus 57 and type {4,60}_60 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^60 ] Orientable map of genus 57 and type {4,60}_60 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (b*c)^60 ] Orientable map of genus 59 and type {4,120}_120 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 59 and type {4,120}_120 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^120 ] Non-orientable map of genus 118 and type {4,120}_120 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 118 and type {4,120}_120 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^120 ] Orientable map of genus 60 and type {4,240}_240 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 50 and type {5,5}_6 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (c*b)^5, c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b, a*b*c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b*a*c*b ] Orientable map of genus 41 and type {6,6}_12 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, (a*b*c*b*a*b*c*b*a*b)^2, c*a*b*c*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c*b ] Orientable map of genus 51 and type {6,8}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, (b*c)^8, c*a*b*c*b*a*b*c*b*a*b*a*b*c*b*a*c*b*c*b*a*b ] Orientable map of genus 51 and type {6,8}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, (b*c)^8, c*a*b*c*b*a*b*c*b*a*b*a*b*c*b*a*b*c*b*a*c*b ] Orientable map of genus 57 and type {6,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*b*a*c*b*c*b*a*b*a*b, (b*c)^10, c*b*c*b*c*a*b*c*b*a*b*a*c*b*c*b*c*b*a*b*c*b ] Orientable map of genus 61 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*a*b)^2, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b ] Orientable map of genus 65 and type {6,15}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, a*b*c*a*b*c*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 69 and type {6,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*b*a*c*b*c*b*a*b*a*b, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b ] Orientable map of genus 69 and type {6,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, c*a*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b, c*a*b*c*a*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 69 and type {6,20}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, (a*b*c*b)^4, (b*c)^20 ] Non-orientable map of genus 142 and type {6,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*b*a*b*a*b*a*c*b*a*b*a*b, c*b*c*a*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*a*c*b*a*c*b ] Non-orientable map of genus 142 and type {6,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*a*b)^2, b*c*a*b*c*b*c*b*c*b*a*b*a*c*b*a*c*b*c*b*a*b*c ] Non-orientable map of genus 142 and type {6,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*b*c*a*b*c*b*a*b*a*c*b*c*b*a*c*b*a*b, (a*b*c*b*a*b*c*b*a*b)^2, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b ] Non-orientable map of genus 142 and type {6,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, a*b*a*b*c*a*b*a*b*a*c*b*c*b*c*b*c*b*c, b*c*b*c*a*b*c*a*b*a*c*b*c*b*a*b*c*b*a ] Orientable map of genus 73 and type {6,30}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, c*a*b*a*b*c*b*a*b*a*b*a*c*b*a*b*c*b*a*b*a*b, a*b*c*a*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*a*c*b*c ] Non-orientable map of genus 150 and type {6,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*c*b*a*b*a*c*b*a*c*b*a*c*b*a, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b ] Non-orientable map of genus 150 and type {6,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*b*c*b*a*b*c*b*a*b*c*b*c*b*a*c*b ] Orientable map of genus 75 and type {6,40}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, c*a*b*c*a*b*c*b*a*b*a*c*b*a*c*b*c*b*a*b, c*b*c*b*c*a*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*a*c*b ] Orientable map of genus 78 and type {6,80}_240 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^80 ] Orientable map of genus 67 and type {8,10}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*a*b*c*a*b*c*b*a*b*a*b*c*b*a*c*b*a*c*b, (b*c)^10, c*b*c*b*a*b*c*a*b*a*b*a*c*b*c*b*a*b*c*b*a*b ] Non-orientable map of genus 134 and type {8,10}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*a*b*c*b)^2, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b, c*a*b*c*b*c*a*b*a*b*a*c*b*c*b*a*c*b*a*c*b ] Non-orientable map of genus 134 and type {8,10}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*a*b*c*a*b*a*c*b*c*b*c*b*a*b*c ] Orientable map of genus 71 and type {8,12}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*c*b, c*a*b*c*b*a*b*c*b*a*b*a*c*b*c*b*a*b*c*b*a*b ] Non-orientable map of genus 150 and type {8,15}_15 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, c*b*c*a*b*c*b*a*b*a*c*b*c*b*a*c*b*a*b, (c*b)^15 ] Orientable map of genus 75 and type {8,15}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c, (c*b)^15 ] Non-orientable map of genus 150 and type {8,15}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, a*b*c*a*b*c*b*a*b*a*c*b*c*b*c*b*a*b*c, (c*b)^15 ] Orientable map of genus 83 and type {8,30}_30 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*a*b*a*b*a*c*b*c*b*a*b, (b*c)^30 ] Non-orientable map of genus 166 and type {8,30}_30 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, c*b*c*a*b*c*b*a*b*a*c*b*c*b*a*c*b*a*b, c*b*c*b*c*b*c*a*b*c*b*c*a*b*c*a*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 83 and type {8,30}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^30 ] Orientable map of genus 87 and type {8,60}_60 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*a*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 87 and type {8,60}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^60 ] Orientable map of genus 87 and type {8,60}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^8, (b*c)^60 ] Non-orientable map of genus 178 and type {8,120}_120 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 178 and type {8,120}_120 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 154 and type {10,12}_15 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, b*a*b*c*b*c*b*a*b*a*b*c*b*c*b*a*b*a*c, (a*b)^10 ] Orientable map of genus 77 and type {10,12}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*c*b*a*c*b*c*b*c*b, (a*b)^10, (a*b*c*b*a*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*b*a*c*b*a*b*c*b*a*c*b*a*c*b ] Orientable map of genus 77 and type {10,12}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^10, c*a*b*c*a*b*a*b*a*b*a*c*b*a*c*b*a*b*a*b ] Non-orientable map of genus 174 and type {10,24}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^10, b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c, b*c*a*b*c*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*c*b*a ] Non-orientable map of genus 174 and type {10,24}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, a*b*a*b*c*b*a*b*a*b*c*b*a*c*b*c*b, (a*b)^10 ] Orientable map of genus 92 and type {10,48}_240 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^48 ] Orientable map of genus 81 and type {12,12}_12 invariant under all six Wilson transforms Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*a*b*a*b*a*b*a*c*b*c*b*a*b*a*b, b*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*c ] Orientable map of genus 89 and type {12,20}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, c*a*b*c*b*a*b*a*b*a*b*c*b*a*c*b*a*b, (a*b)^12, a*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 89 and type {12,20}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, (a*b)^12, (b*c)^20 ] Orientable map of genus 89 and type {12,20}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, c*a*b*c*b*a*b*a*b*a*b*c*b*a*c*b*a*b, b*c*a*b*c*a*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c, (a*b)^12 ] Orientable map of genus 93 and type {12,30}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, c*a*b*a*b*c*b*a*b*a*b*a*b*c*b*a*b*a*c*b*a*b, b*c*a*b*c*b*c*a*b*c*a*b*c*b*a*c*b*c*b*a*c*b*a*c*b*c ] Non-orientable map of genus 190 and type {12,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*b*a*c*b*a*c*b*a*b*a, a*b*c*a*b*c*b*a*b*a*c*b*a*c*b*c*b*c*b ] Non-orientable map of genus 190 and type {12,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, b*c*b*c*b*a*b*a*b*a*c*b*a*c*b*a*b*a ] Orientable map of genus 95 and type {12,40}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, (a*b*c*b*c*b*c*b)^2, b*c*a*b*c*a*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 95 and type {12,40}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 95 and type {12,40}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^40 ] Orientable map of genus 98 and type {12,80}_240 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 98 and type {16,30}_240 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, (b*c)^30 ] Orientable map of genus 102 and type {16,60}_240 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 198 and type {20,24}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, c*a*b*c*a*b*a*b*a*b*a*c*b*a*c*b*a*b*a*b, c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b ] Non-orientable map of genus 198 and type {20,24}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, b*a*b*c*b*a*b*a*c*b*a*c*b*a*c ] Orientable map of genus 99 and type {20,24}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c, (a*b)^20 ] Orientable map of genus 99 and type {20,24}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^20, (b*c)^24 ] Orientable map of genus 104 and type {20,48}_240 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^20, b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 105 and type {24,40}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, c*b*c*b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b ] Orientable map of genus 105 and type {24,40}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, a*b*c*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*c*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 108 and type {30,48}_80 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*c*b*a*b*a*c, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 112 and type {48,60}_80 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 960 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b*a*b*a*b)^2, c*b*c*b*c*a*b*c*a*b*a*b*a*b*c*a*b*a*c*b*c*b*c*b*a*c*b*a*c*b ] Chiral map of genus 41 and type {4,12}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, X^4, Y^-1*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^3*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 41 and type {4,12}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 51 and type {4,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^24 ] Chiral map of genus 51 and type {4,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^-2*X^-1*Y^2*X*Y^-2*X^-1*Y^2*X^-1*Y^-2*X*Y*X^-1*Y^-1 ] Chiral map of genus 65 and type {6,15}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, X^6, Y*X*Y^-2*X^3*Y^2, X*Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1 ] Chiral map of genus 71 and type {8,12}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^12 ] Chiral map of genus 71 and type {8,12}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^12 ] Chiral map of genus 81 and type {8,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^-2*X^-1*Y*X*Y^-2*X*Y*X^-1*Y^-6 ] Chiral map of genus 81 and type {8,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^-2*X^-1*Y*X*Y^-2*X*Y*X^-1*Y^-6 ] Chiral map of genus 81 and type {12,12}_20 isomorphic to its dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, X^12, Y^-2*X^5*Y^-1*X*Y^-1*X^2 ] Chiral map of genus 81 and type {12,12}_20 isomorphic to its dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^2*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 91 and type {12,24}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 91 and type {12,24}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y^-1 ] Chiral map of genus 97 and type {15,30}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y*X^-1*Y*X^-1*Y, X^-15 ] Chiral map of genus 101 and type {16,48}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, X^-1*Y^3*X^-9*Y^3 ] Chiral map of genus 101 and type {16,48}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^2*Y^-2*X^3*Y*X^-1*Y^-3 ] Chiral map of genus 101 and type {24,24}_20 isomorphic to its dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 101 and type {24,24}_20 isomorphic to its dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-1*Y^3*X^-1*Y*X^-9*Y^7*X^-1*Y ] Chiral map of genus 101 and type {24,24}_40 isomorphic to its dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X^5*Y^-1*X^2*Y ] Chiral map of genus 101 and type {24,24}_40 isomorphic to its dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y^-1*X*Y^-2, X^7*Y^-1*X*Y*X^-1*Y ] Chiral map of genus 105 and type {30,30}_4 isomorphic to its mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y^2*X^-2, X^-2*Y^14*X^-11*Y^2*X^-1 ] Chiral map of genus 111 and type {48,48}_10 isomorphic to its dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^21*Y^-1*X*Y^-6*X^9*Y^-2*X*Y^-3*X*Y^-1*X*Y^-1 ] Chiral map of genus 111 and type {48,48}_20 isomorphic to its dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-2*Y^2*X^-1*Y*X^-9*Y^9 ] .......................... Rotary maps with 241 edges .......................... Orientable map of genus 0 and type {2,241}_482 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 964 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^241 ] .......................... Rotary maps with 242 edges .......................... Orientable map of genus 0 and type {2,242}_242 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 968 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^242 ] Non-orientable map of genus 1 and type {2,484}_484 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 968 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 1 and type {4,4}_22 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 968 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^4, (c*b*a*b)^11 ] Orientable map of genus 100 and type {22,22}_22 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 968 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, a*b*c*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b*a*b*a*b, (b*c)^22 ] .......................... Rotary maps with 243 edges .......................... Orientable map of genus 0 and type {2,243}_486 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 972 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^243 ] Orientable map of genus 1 and type {3,6}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 972 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^6, c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*a*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] Orientable map of genus 28 and type {3,18}_18 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 972 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*a*c*b, c*b*c*a*b*c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b, b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c ] Non-orientable map of genus 83 and type {6,6}_9 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 972 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, b*a*b*c*b*a*b*a*b*a*c*b*a*b*a*b*c*b*a, b*c*b*a*b*c*b*c*b*a*b*c*b*c*b*a*c*b*c, c*a*b*c*a*b*c*b*a*b*a*c*b*a*c*b*c*b*a*b ] Orientable map of genus 55 and type {6,9}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 972 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, (c*b)^9 ] Orientable map of genus 55 and type {6,9}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 972 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, (c*b)^9, a*b*c*a*b*a*b*c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b*a*c*b ] Orientable map of genus 55 and type {6,9}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 972 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, (c*b)^9, b*c*a*b*c*b*a*b*a*b*c*a*b*a*c*b*a*b*a*c*b*a ] Orientable map of genus 55 and type {6,9}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 972 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*c*b*a*c*b*c*b*c*b, b*a*b*c*b*c*b*a*b*a*b*c*b*c*b*a*b*c, a*b*c*a*b*a*b*c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b*a*c*b ] Orientable map of genus 73 and type {6,27}_54 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 972 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 73 and type {6,27}_54 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 972 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, c*b*c*a*b*c*b*a*b*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b ] Orientable map of genus 73 and type {6,27}_54 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 972 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c, (c*b)^27 ] Orientable map of genus 79 and type {6,81}_162 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 972 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (c*b)^81 ] Orientable map of genus 82 and type {9,18}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 972 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b)^2, (b*a)^9, c*b*a*b*c*b*c*a*b*a*c*b*c*b*a*b*c*b, c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*a*c*b ] Orientable map of genus 82 and type {9,18}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 972 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^9, c*a*b*c*b*a*b*a*b*a*c*b*c*b*a*b*a*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, b*a*b*c*b*a*b*c*b*a*b*a*c*b*c*b*a*c*b*a*b*c ] Orientable map of genus 82 and type {9,18}_18 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 972 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^9, c*a*b*c*b*a*b*a*b*a*c*b*c*b*a*b*a*b, c*a*b*a*b*c*b*a*b*a*c*b*c*b*c*b*c*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b ] Orientable map of genus 82 and type {9,18}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 972 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b)^2, (b*a)^9, c*a*b*c*a*b*c*a*b*a*c*b*c*b*a*b*c*b, c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*a*c*b ] Orientable map of genus 82 and type {9,18}_18 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 972 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^9, c*a*b*c*b*a*b*a*b*a*c*b*c*b*a*b*a*b, b*c*a*b*c*a*b*c*a*b*a*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 100 and type {18,27}_54 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 972 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, a*b*c*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b, (c*b)^27 ] Chiral map of genus 28 and type {3,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, X^3, (Y^2*X^-1*Y^2)^3, Y*X*Y^-2*X^-1*Y^3*X^-1*Y^-4*X*Y^2 ] Chiral map of genus 55 and type {6,9}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-9, X*Y^-1*X^2*Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y^2 ] Chiral map of genus 79 and type {6,81}_162 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-14*X^2*Y^-1*X*Y^4*X^-1*Y^-8 ] Chiral map of genus 82 and type {9,18}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, (X*Y^-1*X)^2, X^-9, (Y*X^-1*Y)^3, Y^2*X*Y^-5*X^-2*Y^5 ] Chiral map of genus 82 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, (X*Y^-1*X)^2, X^-9, X^-1*Y*X*Y^-1*X^-2*Y^-2*X*Y^-2, Y^2*X*Y^-5*X^-2*Y^5 ] Chiral map of genus 82 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, (X*Y^-1*X)^2, X^-9, Y*X^-1*Y^2*X^2*Y^2*X^-1*Y, X^-1*Y*X*Y^-5*X^-1*Y^6 ] Chiral map of genus 100 and type {18,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, Y*X^-4*Y^2*X^-2 ] Chiral map of genus 100 and type {18,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^-2*Y^3*X^-1 ] Chiral map of genus 100 and type {18,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, Y^2*X^-3*Y*X^-1*Y^2 ] Chiral map of genus 100 and type {18,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^4*X^-3*Y^-1*X*Y^4 ] Chiral map of genus 109 and type {27,54}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-1*Y^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-10*Y^4 ] .......................... Rotary maps with 244 edges .......................... Orientable map of genus 0 and type {2,244}_244 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 976 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^244 ] Non-orientable map of genus 1 and type {2,488}_488 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 976 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 60 and type {4,122}_244 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 976 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^122 ] Chiral map of genus 1 and type {4,4}_122 isomorphic to its dual Automorphism group of order 488 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] .......................... Rotary maps with 245 edges .......................... Orientable map of genus 0 and type {2,245}_490 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 980 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^245 ] Non-orientable map of genus 193 and type {10,98}_245 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 980 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 99 and type {14,35}_70 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 980 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^14, (c*b)^35 ] .......................... Rotary maps with 246 edges .......................... Orientable map of genus 0 and type {2,246}_246 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 984 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^246 ] Non-orientable map of genus 1 and type {2,492}_492 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 984 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 121 and type {4,123}_123 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 984 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^123 ] Orientable map of genus 80 and type {6,82}_246 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 984 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^82 ] Chiral map of genus 83 and type {12,12}_82 isomorphic to its dual Automorphism group of order 492 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X^2*Y^-2*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y^-1*X*Y^2 ] .......................... Rotary maps with 247 edges .......................... Orientable map of genus 0 and type {2,247}_494 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 988 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^247 ] Non-orientable map of genus 217 and type {26,38}_247 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 988 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b ] .......................... Rotary maps with 248 edges .......................... Orientable map of genus 0 and type {2,248}_248 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 992 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^248 ] Non-orientable map of genus 1 and type {2,496}_496 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 992 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 61 and type {4,124}_124 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 992 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^124 ] Orientable map of genus 62 and type {4,248}_248 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 992 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 90 and type {8,62}_248 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 992 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^62 ] Orientable map of genus 92 and type {8,124}_248 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 992 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 249 edges .......................... Orientable map of genus 0 and type {2,249}_498 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 996 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^249 ] Non-orientable map of genus 165 and type {6,166}_249 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 996 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 250 edges .......................... Orientable map of genus 0 and type {2,250}_250 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1000 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^250 ] Non-orientable map of genus 1 and type {2,500}_500 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1000 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 77 and type {4,10}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1000 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^10, a*b*c*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b*c*b, c*a*b*c*b*c*a*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 76 and type {10,10}_10 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 1000 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, (a*b)^10, a*b*c*b*a*b*a*b*a*b*a*b*c*b*a*b*c*b*c*b, (b*c)^10 ] Orientable map of genus 76 and type {10,10}_10 invariant under all six Wilson transforms Automorphism group of order 1000 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^10, (b*c)^10 ] Non-orientable map of genus 177 and type {10,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1000 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^10, c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b ] Non-orientable map of genus 177 and type {10,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1000 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b*c*b)^2, (a*b)^10, b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c, c*b*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b*a*b ] Non-orientable map of genus 177 and type {10,20}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1000 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b*c*b)^2, (a*b)^10, c*a*b*c*a*b*a*b*a*b*a*c*b*a*c*b*a*b*a*b, c*b*a*b*c*b*a*b*a*b*a*c*b*a*b*a*b*c*b*a*b ] Orientable map of genus 96 and type {10,50}_50 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1000 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^10, (b*c)^50 ] Chiral map of genus 1 and type {4,4}_50 isomorphic to its dual Automorphism group of order 500 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^-2*X^2*Y^2*X^2*Y ] Chiral map of genus 1 and type {4,4}_250 isomorphic to its dual Automorphism group of order 500 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 96 and type {10,50}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 500 with defining relations: [ (X*Y)^2, X^10, X*Y^-1*X^4*Y^-1*X*Y^-2, Y*X*Y^-3*X^3*Y^6 ] Chiral map of genus 96 and type {10,50}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 500 with defining relations: [ (X*Y)^2, X^10, X*Y^-1*X^4*Y^-1*X*Y^-2, Y^-2*X^-1*Y*X*Y^-1*X^2*Y^-6 ] Chiral map of genus 101 and type {20,20}_10 isomorphic to its dual Automorphism group of order 500 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^-1*X*Y^-1*X^3*Y^-3*X, X^-2*Y^2*X^3*Y*X^-1*Y^-3 ] Chiral map of genus 101 and type {20,20}_50 isomorphic to its dual Automorphism group of order 500 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-2 ] Chiral map of genus 101 and type {20,20}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 500 with defining relations: [ (X*Y)^2, X^6*Y^-2*X*Y^-1 ] Chiral map of genus 101 and type {20,20}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 500 with defining relations: [ (X*Y)^2, Y^-1*X^5*Y^-1*X^2*Y^-1 ] Chiral map of genus 121 and type {100,100}_10 isomorphic to its dual Automorphism group of order 500 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^21*Y^-2*X*Y^-1*X*Y^-3*X^11*Y^-2*X*Y^-3*X*Y^-1*X*Y^-1 ] .......................... Rotary maps with 251 edges .......................... Orientable map of genus 0 and type {2,251}_502 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1004 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^251 ] .......................... Rotary maps with 252 edges .......................... Orientable map of genus 0 and type {2,252}_252 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^252 ] Non-orientable map of genus 1 and type {2,504}_504 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 7 and type {3,7}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (c*b)^7, b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*a*c*b*c ] Non-orientable map of genus 23 and type {3,8}_21 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^8, b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c, b*c*a*b*c*a*b*c*b*c*a*b*c*a*b*c*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c ] Orientable map of genus 15 and type {3,9}_14 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (c*b)^9, a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c ] Non-orientable map of genus 50 and type {3,14}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, b*c*a*b*c*a*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c, a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*a*c*b*c*b*c ] Orientable map of genus 55 and type {4,28}_42 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, (a*b*c*b)^6, c*a*b*c*b*c*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b ] Orientable map of genus 60 and type {4,63}_126 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (c*b)^63 ] Non-orientable map of genus 124 and type {4,126}_126 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^126 ] Orientable map of genus 62 and type {4,126}_252 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^126 ] Non-orientable map of genus 98 and type {6,7}_9 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (c*b)^7, a*b*c*a*b*c*a*b*c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b*c ] Non-orientable map of genus 98 and type {6,7}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (c*b)^7, a*b*c*a*b*c*a*b*c*a*b*c*b*a*b*c*b*a*c*b*a*c*b*a*c*b*c ] Non-orientable map of genus 114 and type {6,9}_14 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (c*b)^9, b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*a*b*c ] Non-orientable map of genus 134 and type {6,14}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, c*b*c*b*c*a*b*a*b*a*c*b*c*b*c*b*c*b, a*b*c*a*b*c*a*b*c*a*b*c*b*a*b*c*b*a*c*b*a*c*b*a*c*b*c ] Non-orientable map of genus 146 and type {6,21}_21 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b*c*b*a*b)^2, a*b*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*c*b*c, b*c*b*c*a*b*c*b*a*b*a*b*c*b*c*b*c*b*a*b*a ] Orientable map of genus 73 and type {6,21}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, (c*b)^21 ] Orientable map of genus 76 and type {6,28}_28 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (b*c)^28 ] Orientable map of genus 82 and type {6,84}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^84 ] Orientable map of genus 82 and type {6,84}_84 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 55 and type {7,7}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^7, (c*b)^7, (b*c*b*a*b*c)^3, (a*b*c*b*a*b*c*b*a*b)^2 ] Orientable map of genus 63 and type {7,9}_14 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (c*b*a*b)^3, (b*a)^7, (c*b)^9, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b ] Orientable map of genus 63 and type {7,9}_14 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^7, (a*b*c*b*c*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*c*b ] Non-orientable map of genus 146 and type {7,14}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^7, (b*c*b*a*b*c)^3, b*c*b*c*a*b*c*a*b*a*c*b*c*b*a*b*c*b*a ] Non-orientable map of genus 146 and type {7,14}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^7, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, c*a*b*c*a*b*a*b*a*b*a*c*b*a*c*b*a*b*a*b ] Non-orientable map of genus 149 and type {8,12}_21 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, (a*b)^8, (a*b*c*b*c*b*c*b)^2, b*a*b*c*a*b*a*b*a*b*a*c*b*a*b*a*b*a*c*b*a ] Orientable map of genus 71 and type {9,9}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^9, (c*b)^9, b*c*a*b*a*b*a*b*a*b*a*c*b*a*c*b*c*b*a*c ] Non-orientable map of genus 162 and type {9,14}_14 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b*a*b)^2, (b*a)^9, a*b*a*b*c*b*a*b*a*b*a*c*b*a*c*b*c*b*c*b*c ] Non-orientable map of genus 170 and type {9,18}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*b*a*b*a*b*a*c*b*a*b*a*b*c*b, (b*a)^9 ] Orientable map of genus 94 and type {12,21}_42 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c, (c*b)^21 ] Orientable map of genus 100 and type {12,42}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^42 ] Orientable map of genus 100 and type {12,42}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^12, (b*c)^42 ] Orientable map of genus 100 and type {12,42}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^12, (a*b*c*b*a*b*a*b*a*b*a*b)^2, b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c ] Non-orientable map of genus 182 and type {14,14}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, a*b*c*a*b*a*b*a*c*b*a*b*a*c*b, b*c*b*c*a*b*c*a*b*a*c*b*c*b*a*b*c*b*a ] Orientable map of genus 102 and type {14,36}_252 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, (b*c)^36 ] Non-orientable map of genus 198 and type {18,18}_18 plus image(s) under Wilson transforms [ D ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*b*a*b*a*b*a*b*c*b*c*b*a*c*b, b*a*b*c*b*a*b*a*b*a*c*b*a*c*b*a*c*b*a ] Non-orientable map of genus 208 and type {18,28}_63 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, c*a*b*c*b*a*b*a*b*a*b*c*b*a*c*b*a*b, a*b*c*a*b*a*b*a*b*a*b*a*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c ] Orientable map of genus 104 and type {18,28}_252 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, (b*c)^28 ] Orientable map of genus 111 and type {28,36}_126 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1008 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c ] Chiral map of genus 1 and type {3,6}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^3*X*Y^-2*X*Y^-1*X*Y^-3*X*Y^-1 ] Chiral map of genus 22 and type {3,12}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, X^3, Y^12, (Y^2*X^-1*Y^2)^3, Y*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-3*X*Y^3 ] Chiral map of genus 64 and type {6,12}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^-1*X^2*Y^-1*X^-3*Y^-1*X*Y^-3 ] Chiral map of genus 64 and type {6,12}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, Y^2*X*Y^-2*X*Y^-1*X^-2*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 64 and type {6,12}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-2*Y*X^-1*Y ] Chiral map of genus 64 and type {6,12}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^12 ] Chiral map of genus 85 and type {9,18}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, X^-9, Y^2*X^-3*Y^4, Y*X*Y^-1*X*Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 85 and type {12,12}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, X^12, Y^-1*X^6*Y^-5 ] Chiral map of genus 85 and type {12,12}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^12, Y^-1*X*Y^-2*X*Y^-1*X^-2*Y^2*X^-1*Y^2*X^-1*Y^-2 ] Chiral map of genus 106 and type {18,36}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^-18 ] Chiral map of genus 106 and type {18,36}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X^2*Y^-1*X^2*Y^-1*X^8*Y^-1*X^2*Y^-1 ] Chiral map of genus 113 and type {36,36}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^4*Y^-5*X^2*Y^-4*X^11*Y^-1*X*Y^-2*X^2*Y^-1*X*Y^-1*X ] Chiral map of genus 118 and type {56,56}_6 isomorphic to its dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, X^-7*Y*X^-1*Y^3*X^-1*Y*X^-8*Y*X^-2*Y*X^-2 ] Chiral map of genus 119 and type {63,63}_4 isomorphic to its mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^-2*Y^42*X^-1*Y*X^-12*Y^5 ] .......................... Rotary maps with 253 edges .......................... Orientable map of genus 0 and type {2,253}_506 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1012 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^253 ] Non-orientable map of genus 221 and type {22,46}_253 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1012 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^22, c*b*c*b*c*b*c*b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] Chiral map of genus 93 and type {11,22}_46 not isomorphic to its dual or mirror-dual Automorphism group of order 506 with defining relations: [ (X*Y)^2, X^-11, Y*X^-5*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 93 and type {11,22}_46 not isomorphic to its dual or mirror-dual Automorphism group of order 506 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, X^-11, Y*X^-5*Y*X^-2*Y^2 ] Chiral map of genus 93 and type {11,22}_46 not isomorphic to its dual or mirror-dual Automorphism group of order 506 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^3*Y^-1*X*Y*X^-1, X^-11 ] Chiral map of genus 93 and type {11,22}_46 not isomorphic to its dual or mirror-dual Automorphism group of order 506 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-1*Y^2, X^-11 ] Chiral map of genus 93 and type {11,22}_46 not isomorphic to its dual or mirror-dual Automorphism group of order 506 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^2*X^-1*Y, X^-11 ] .......................... Rotary maps with 254 edges .......................... Orientable map of genus 0 and type {2,254}_254 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1016 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^254 ] Non-orientable map of genus 1 and type {2,508}_508 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1016 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 255 edges .......................... Orientable map of genus 0 and type {2,255}_510 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1020 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^255 ] Non-orientable map of genus 169 and type {6,170}_255 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1020 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 201 and type {10,102}_255 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1020 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 225 and type {30,34}_255 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1020 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b ] .......................... Rotary maps with 256 edges .......................... Orientable map of genus 0 and type {2,256}_256 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^256 ] Non-orientable map of genus 1 and type {2,512}_512 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 1 and type {4,4}_16 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^4, a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 33 and type {4,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (b*c)^8, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b, a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 33 and type {4,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^8, c*b*c*a*b*c*b*a*b*c*a*b*a*c*b*c*b*a*c*b*a*b*c*b ] Orientable map of genus 33 and type {4,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^8, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b, a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 33 and type {4,8}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^8, c*a*b*c*b*c*a*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 33 and type {4,8}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^8, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b ] Orientable map of genus 33 and type {4,8}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^8, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b, b*a*b*c*a*b*c*b*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c*b*a*c*b*c ] Orientable map of genus 33 and type {4,8}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^8, (a*b*c*b)^8 ] Orientable map of genus 33 and type {4,8}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^8, a*c*b*c*b*a*b*c*b*a*b*c*b*a*b*c*b*a*b*c*b*a*b*c*b*a*b*c*b*a*c*b*c*b ] Orientable map of genus 49 and type {4,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b, b*c*a*b*c*b*c*b*c*a*b*a*b*c*b*c*b*c*b*c*b*a ] Orientable map of genus 49 and type {4,16}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, a*b*c*a*b*c*b*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*b*c*b*c, (b*c)^16 ] Orientable map of genus 49 and type {4,16}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, b*c*a*b*c*b*c*b*c*a*b*a*b*c*b*c*b*c*b*c*b*a, c*a*b*c*b*c*a*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 49 and type {4,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b ] Orientable map of genus 49 and type {4,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b ] Orientable map of genus 49 and type {4,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, b*c*a*b*c*b*c*b*c*a*b*a*b*c*b*c*b*c*b*c*b*a, (b*c)^16 ] Orientable map of genus 57 and type {4,32}_32 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, a*b*c*a*b*c*b*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*b*c*b*c, b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 57 and type {4,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, b*c*a*b*c*b*c*b*c*a*b*a*b*c*b*c*b*c*b*c*b*a, b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c ] Orientable map of genus 57 and type {4,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^32 ] Orientable map of genus 61 and type {4,64}_64 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 61 and type {4,64}_64 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^64 ] Orientable map of genus 63 and type {4,128}_128 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 63 and type {4,128}_128 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^128 ] Orientable map of genus 64 and type {4,256}_256 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 65 and type {8,8}_8 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^8, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, b*c*a*b*c*a*b*a*b*a*b*a*b*c*b*c*b*a*b*a*b*a ] Orientable map of genus 65 and type {8,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*c*b*c*b)^2, (b*c)^8, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, b*c*a*b*c*a*b*a*b*a*b*a*b*c*b*c*b*a*b*a*b*a ] Orientable map of genus 65 and type {8,8}_8 invariant under all six Wilson transforms Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (b*c)^8, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, c*a*b*c*b*c*a*b*a*b*a*c*b*c*b*a*c*b*a*b ] Orientable map of genus 65 and type {8,8}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*c*b*c*b)^2, (b*c)^8, b*a*b*c*b*a*b*a*b*a*c*b*c*b*a*c*b*a, a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 65 and type {8,8}_8 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^8, c*a*b*c*a*b*a*b*a*b*a*c*b*a*c*b*a*b*a*b ] Orientable map of genus 65 and type {8,8}_8 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*c*b*c*b)^2, (b*c)^8, b*a*b*c*b*a*b*c*b*a*c*b*c*b*a*c*b*c, c*a*b*c*a*b*a*b*a*b*a*c*b*a*c*b*a*b*a*b ] Orientable map of genus 65 and type {8,8}_8 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*c*b*c*b)^2, (b*c)^8, b*a*b*c*b*a*b*c*b*a*c*b*c*b*a*c*b*c, b*c*a*b*c*a*b*a*b*a*b*a*b*c*b*c*b*a*b*a*b*a ] Orientable map of genus 65 and type {8,8}_16 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b)^2, (b*c)^8, a*b*c*a*b*c*a*b*c*a*b*c*b*a*b*a*c*b*c*b*a*b*a*c*b*c ] Orientable map of genus 65 and type {8,8}_16 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*c*b*c*b*c*b, (a*b)^8, (a*b*c*b)^8 ] Orientable map of genus 65 and type {8,8}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*c*b*c*b)^2, (b*c)^8, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*a*b*a*b*a*b*a*c*b*a*c*b*a*b*a*b ] Orientable map of genus 65 and type {8,8}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*c*b*c*b)^2, (b*c)^8, c*a*b*c*a*b*a*b*a*b*a*c*b*a*c*b*a*b*a*b, b*c*a*b*a*b*c*b*a*b*a*c*b*a*c*b*c*b*a*c ] Orientable map of genus 65 and type {8,8}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b)^2, (b*c)^8, a*b*c*a*b*a*b*c*b*c*b*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 65 and type {8,8}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*c*b*c*b)^2, (b*c)^8, b*a*b*c*b*a*b*a*b*a*c*b*c*b*a*c*b*a, a*b*c*a*b*a*b*c*b*c*b*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 65 and type {8,8}_16 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*c*b*c*b*c*b, (a*b)^8, a*b*c*b*a*b*c*b*a*b*c*b*a*b*c*b*a*b*a*c*b*a*b*a*c*b*a*b*c*b*a*b*c*b ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, b*c*a*b*c*a*b*a*b*a*b*a*b*c*b*c*b*a*b*a*b*a, c*a*b*c*b*c*a*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*c*b*c*b)^2, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^16 ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, c*a*b*c*b*c*a*b*a*b*a*c*b*c*b*a*c*b*a*b, c*b*c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b*c*b ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, c*b*a*b*c*b*a*b*a*b*c*b*a*b*c*b, (b*c)^16 ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, c*a*b*c*b*c*a*b*a*b*a*c*b*c*b*a*c*b*a*b, b*c*a*b*c*a*b*c*b*a*b*a*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (b*c)^16 ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*c*a*b*c*a*b*a*b*a*c*b*a*c*b*c*b*a*b, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b)^2, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b, a*b*c*b*a*b*a*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, b*c*a*b*c*b*c*b*c*a*b*a*b*a*b*c*b*c*b*c*b*c ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, (b*c)^16 ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*c*a*b*c*a*b*a*b*a*c*b*a*c*b*c*b*a*b, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b, c*b*c*b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*c*b*c*a*b*a*b*a*c*b*c*b*c*b*a*b, c*a*b*c*b*c*a*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b)^2, b*c*a*b*c*b*c*b*a*b*a*b*a*c*b*a*c*b*c*b*a*c*b*c ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, c*b*c*b*c*a*b*a*b*a*c*b*c*b*c*b*a*b, (b*c)^16 ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, b*c*a*b*c*b*c*b*c*a*b*a*b*a*b*c*b*c*b*c*b*c ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b, b*c*a*b*c*b*c*b*c*a*b*a*b*c*b*c*b*c*b*c*b*a ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b, c*b*c*b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, b*c*a*b*c*b*c*b*c*a*b*a*b*c*b*c*b*c*b*c*b*a, c*b*c*b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*c*b*c*b)^2, b*a*b*c*b*a*b*a*b*a*c*b*a*b*a*c*b*c, (b*c)^16 ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*c*b*c*b)^2, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, b*c*a*b*c*a*b*a*b*a*b*a*b*c*b*c*b*a*b*a*b*a, c*b*c*a*b*c*b*a*b*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*c*b*c*b)^2, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 81 and type {8,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (b*c)^16 ] Orientable map of genus 89 and type {8,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 89 and type {8,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c ] Orientable map of genus 89 and type {8,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, c*b*a*b*c*b*a*b*a*b*c*b*a*b*c*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*a*b^2*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c ] Orientable map of genus 89 and type {8,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^32 ] Orientable map of genus 89 and type {8,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, b*c*a*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c ] Orientable map of genus 89 and type {8,32}_32 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, b*c*a*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c ] Orientable map of genus 89 and type {8,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, c*b*c*b*c*a*b*a*b*a*c*b*c*b*c*b*a*b, b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c ] Orientable map of genus 89 and type {8,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*c ] Orientable map of genus 89 and type {8,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 89 and type {8,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*c*b*c*b)^2, b*a*b*c*b*a*b*a*b*a*c*b*a*b*a*c*b*c, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 89 and type {8,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^32 ] Orientable map of genus 93 and type {8,64}_64 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 93 and type {8,64}_64 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^64 ] Orientable map of genus 93 and type {8,64}_64 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 93 and type {8,64}_64 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 95 and type {8,128}_128 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 97 and type {16,16}_16 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*b*c*b*a*c*b, b*c*a*b*c*b*c*b*c*a*b*a*b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*a ] Orientable map of genus 97 and type {16,16}_16 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b*a*b)^2, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, a*b*a*b*a*b*a*b*a*b*a*c*b*a*c*b*a*c*b*c, b*c*a*b*a*b*c*b*c*a*b*a*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 97 and type {16,16}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b, b*a*b*c*a*b*a*b*a*b*a*c*b*a*b*a*c*b*a*c, a*b*c*b*a*b*c*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b*a*b*c*b*a*b ] Orientable map of genus 97 and type {16,16}_16 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, a*b*c*a*b*c*a*b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 97 and type {16,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b, c*b*c*b*a*b*c*b*a*b*a*b*a*b*a*b*c*b*a*b*a*b*a*b*a*b*c*b*a*b*c*b, (a*b)^16 ] Orientable map of genus 97 and type {16,16}_16 invariant under all six Wilson transforms Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*a*b*c*a*b*a*b*a*b*a*b*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 97 and type {16,16}_16 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, b*a*b*c*a*b*a*b*a*b*a*c*b*a*b*a*c*b*a*c, b*c*a*b*c*a*b*c*b*a*b*a*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 105 and type {16,32}_32 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, (a*b)^16, c*b*c*b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b ] Orientable map of genus 105 and type {16,32}_32 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, b*a*b*c*a*b*a*b*a*b*a*c*b*a*b*a*c*b*a*c, b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 105 and type {16,32}_32 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, (a*b)^16, c*b*c*b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b ] Orientable map of genus 105 and type {16,32}_32 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, b*a*b*a*b*a*b*a*b*a*b*a*c*b*a*b*a*c, (b*c)^32 ] Orientable map of genus 105 and type {16,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b, c*b*c*b*a*b*c*b*a*b*a*b*a*b*a*b*a*b*c*b*a*b*a*b*c*b*c*b*a*b*a*b, (a*b)^16 ] Orientable map of genus 105 and type {16,32}_32 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, (b*c)^32 ] Orientable map of genus 105 and type {16,32}_32 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, (a*b)^16, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 105 and type {16,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*c*b*c*b, (a*b)^16 ] Orientable map of genus 105 and type {16,32}_32 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b)^2, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 105 and type {16,32}_32 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b)^2, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, b*c*a*b*c*b*c*b*a*b*a*b*c*b*c*b*a*c*b*c*b*c ] Orientable map of genus 109 and type {16,64}_64 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 109 and type {16,64}_64 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1024 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, b*a*b*a*b*a*b*a*b*a*b*a*c*b*a*b*a*c, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 65 and type {8,8}_8 isomorphic to its dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1)^4, X^-2*Y*X^3*Y^-1*X*Y^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y ] Chiral map of genus 65 and type {8,8}_8 isomorphic to its mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, X^8, Y^8, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2 ] Chiral map of genus 65 and type {8,8}_16 isomorphic to its dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, X^8, Y^8, X^-1*Y^-4*X^2*Y^4*X^-1, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-2*X^3*Y*X^-1*Y^-2*X ] Chiral map of genus 81 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, X^-2*Y*X^3*Y^-1*X*Y^2 ] Chiral map of genus 81 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, X^8, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X*Y^-3*X*Y^4 ] Chiral map of genus 81 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, X^8, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 81 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y ] Chiral map of genus 81 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-1*X^-1*Y^2*X^2*Y^-1*X*Y^-2 ] Chiral map of genus 93 and type {8,64}_64 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, X^8, Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1, Y^-8*X^2*Y^-2*X*Y*X^-1*Y^-5 ] Chiral map of genus 97 and type {16,16}_8 isomorphic to its dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X*Y^-1*X^5*Y*X^-1*Y^-2*X ] Chiral map of genus 97 and type {16,16}_8 isomorphic to its mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, (X*Y^-1)^4, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2 ] Chiral map of genus 97 and type {16,16}_16 isomorphic to its dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-2*X^-1*Y*X^3*Y*X^-1*Y*X^-1*Y^-1 ] Chiral map of genus 97 and type {16,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, Y^-2*X*Y^-1*X^2*Y^2*X^-1*Y^-1, X^-1*Y*X^6*Y^-2*X*Y^3 ] Chiral map of genus 105 and type {16,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-2*Y^2, X^2*Y^-1*X^10*Y^-3 ] Chiral map of genus 105 and type {16,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^-4*X^3*Y*X^-1*Y^-3 ] Chiral map of genus 105 and type {16,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^4*X^3*Y^-2*X*Y^2, X^16 ] Chiral map of genus 109 and type {16,64}_64 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y^-8*X^-3*Y^2*X^-1*Y^-6 ] Chiral map of genus 113 and type {32,32}_16 isomorphic to its dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X^4*Y*X^-2*Y^5 ] .......................... Rotary maps with 257 edges .......................... Orientable map of genus 0 and type {2,257}_514 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1028 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^257 ] .......................... Rotary maps with 258 edges .......................... Orientable map of genus 0 and type {2,258}_258 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1032 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^258 ] Non-orientable map of genus 1 and type {2,516}_516 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1032 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 127 and type {4,129}_129 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1032 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^129 ] Orientable map of genus 84 and type {6,86}_258 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1032 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^86 ] Chiral map of genus 44 and type {6,6}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 516 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y*X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y*X^-1*Y*X^-2 ] .......................... Rotary maps with 259 edges .......................... Orientable map of genus 0 and type {2,259}_518 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1036 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^259 ] Non-orientable map of genus 217 and type {14,74}_259 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1036 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 260 edges .......................... Orientable map of genus 0 and type {2,260}_260 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1040 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^260 ] Non-orientable map of genus 1 and type {2,520}_520 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1040 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 64 and type {4,130}_260 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1040 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^130 ] Orientable map of genus 100 and type {10,52}_260 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1040 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^52 ] Orientable map of genus 108 and type {20,26}_260 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1040 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^20, (b*c)^26 ] Orientable map of genus 113 and type {20,52}_130 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1040 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^20, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_130 isomorphic to its dual Automorphism group of order 520 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] Chiral map of genus 1 and type {4,4}_130 isomorphic to its dual Automorphism group of order 520 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^-2*X*Y^-1*X*Y^-1*X ] Chiral map of genus 53 and type {4,20}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 520 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-2*X^-1*Y^2*X*Y^-2*X^2*Y^-1*X*Y^2*X^-1*Y^-1 ] Chiral map of genus 61 and type {4,52}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 520 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^13*X*Y^-1*X*Y*X^-1*Y^-5*X*Y^6 ] Chiral map of genus 105 and type {20,20}_26 isomorphic to its dual Automorphism group of order 520 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X^-2*Y^2*X^-1*Y*X^-9*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 121 and type {52,52}_10 isomorphic to its dual Automorphism group of order 520 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X^2*Y*X^-1*Y, X^-22*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y*X^-1*Y*X^-9*Y*X^-1*Y^3*X^-1*Y^2*X^-1 ] .......................... Rotary maps with 261 edges .......................... Orientable map of genus 0 and type {2,261}_522 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1044 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^261 ] Orientable map of genus 85 and type {6,87}_174 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1044 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (c*b)^87 ] Non-orientable map of genus 225 and type {18,58}_261 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1044 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 262 edges .......................... Orientable map of genus 0 and type {2,262}_262 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1048 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^262 ] Non-orientable map of genus 1 and type {2,524}_524 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1048 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 263 edges .......................... Orientable map of genus 0 and type {2,263}_526 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1052 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^263 ] .......................... Rotary maps with 264 edges .......................... Orientable map of genus 0 and type {2,264}_264 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1056 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^264 ] Non-orientable map of genus 1 and type {2,528}_528 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1056 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 63 and type {4,66}_66 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1056 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (b*c)^66 ] Non-orientable map of genus 130 and type {4,132}_132 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1056 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 130 and type {4,132}_132 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1056 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^132 ] Orientable map of genus 65 and type {4,132}_132 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1056 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^132 ] Orientable map of genus 66 and type {4,264}_264 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1056 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 83 and type {6,44}_66 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1056 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, (a*b*c*b)^4, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 86 and type {6,88}_264 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1056 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^88 ] Orientable map of genus 92 and type {8,33}_132 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1056 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (c*b)^33 ] Orientable map of genus 96 and type {8,66}_132 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1056 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 96 and type {8,66}_264 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1056 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^66 ] Orientable map of genus 98 and type {8,132}_264 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1056 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 103 and type {12,33}_88 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1056 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, c*a*b*a*b*c*b*a*b*a*b*a*b*c*b*a*b*a*c*b*a*b, b*c*a*b*c*b*c*b*c*b*c*a*b*c*a*b*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 105 and type {12,44}_132 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1056 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^44 ] Orientable map of genus 107 and type {12,66}_88 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1056 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, c*a*b*a*b*c*b*a*b*a*b*a*b*c*b*a*b*a*c*b*a*b, c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b ] Orientable map of genus 108 and type {12,88}_264 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1056 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 110 and type {22,24}_264 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1056 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^22, (b*c)^24 ] Orientable map of genus 116 and type {24,44}_264 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1056 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*b*c*b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 118 and type {24,66}_88 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1056 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b*a*b*c*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 119 and type {24,88}_132 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1056 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, a*b*c*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*c*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] .......................... Rotary maps with 265 edges .......................... Orientable map of genus 0 and type {2,265}_530 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1060 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^265 ] Non-orientable map of genus 209 and type {10,106}_265 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1060 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 266 edges .......................... Orientable map of genus 0 and type {2,266}_266 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1064 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^266 ] Non-orientable map of genus 1 and type {2,532}_532 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1064 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 108 and type {14,38}_266 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1064 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, (b*c)^38 ] .......................... Rotary maps with 267 edges .......................... Orientable map of genus 0 and type {2,267}_534 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1068 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^267 ] Non-orientable map of genus 177 and type {6,178}_267 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1068 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 268 edges .......................... Orientable map of genus 0 and type {2,268}_268 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1072 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^268 ] Non-orientable map of genus 1 and type {2,536}_536 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1072 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 66 and type {4,134}_268 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1072 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^134 ] .......................... Rotary maps with 269 edges .......................... Orientable map of genus 0 and type {2,269}_538 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1076 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^269 ] .......................... Rotary maps with 270 edges .......................... Orientable map of genus 0 and type {2,270}_270 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1080 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^270 ] Non-orientable map of genus 1 and type {2,540}_540 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1080 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 133 and type {4,135}_135 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1080 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^135 ] Non-orientable map of genus 155 and type {6,20}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1080 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, (a*b*c*b*a*b*c*b*a*b)^2, c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 82 and type {6,30}_30 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1080 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^30 ] Orientable map of genus 82 and type {6,30}_30 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1080 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, c*a*b*c*b*c*a*b*a*b*a*c*b*c*b*a*c*b*a*b, a*b*c*a*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 82 and type {6,30}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1080 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, c*b*a*b*c*b*a*b*a*b*c*b*a*b*c*b, (b*c)^30 ] Non-orientable map of genus 170 and type {6,45}_45 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1080 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*c*b*a*b*a*c*b*a*c*b*a*c*b*a, b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*a*c*b*c ] Non-orientable map of genus 173 and type {6,60}_60 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1080 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*a*b*a*c*b*a*c*b*a, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 173 and type {6,60}_60 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1080 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, (a*b*c*b*a*b*c*b*a*b)^2, c*b*c*a*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 88 and type {6,90}_90 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1080 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^90 ] Non-orientable map of genus 158 and type {9,10}_45 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1080 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b)^2, (b*a)^9, (b*c)^10, b*c*a*b*c*b*c*b*c*b*a*b*a*c*b*c*b*a*c*b*c*b*c ] Orientable map of genus 104 and type {10,54}_270 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1080 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^54 ] Orientable map of genus 112 and type {18,30}_90 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1080 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b, (a*b)^18 ] Orientable map of genus 112 and type {18,30}_90 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1080 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, (b*c)^30 ] Chiral map of genus 46 and type {4,12}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 540 with defining relations: [ (X*Y)^2, X^4, Y*X*Y^-3*X*Y^4, Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-1*X*Y, Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1 ] Chiral map of genus 88 and type {6,90}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 540 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^15*X^2*Y*X^-2*Y^14 ] Chiral map of genus 91 and type {12,12}_30 isomorphic to its dual Automorphism group of order 540 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y*X^-1*Y^-1*X*Y^-2*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^2*X^-2 ] Chiral map of genus 91 and type {12,12}_30 isomorphic to its dual Automorphism group of order 540 with defining relations: [ (X*Y)^2, Y^-1*X^4*Y^-3, X^2*Y^-1*X^3*Y^2*X^-1*Y^-1, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 112 and type {18,30}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 540 with defining relations: [ (X*Y)^2, Y^-2*X^4*Y*X^-1*Y^-1*X, Y^2*X*Y^-3*X^2*Y^-3*X*Y^2 ] Chiral map of genus 124 and type {30,90}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 540 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y^3*X^3*Y^-1*X*Y^2, X^-1*Y*X^-1*Y*X^-1*Y^11*X^-12*Y*X^-1 ] Chiral map of genus 131 and type {108,108}_10 isomorphic to its dual Automorphism group of order 540 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^25*X^-2*Y^2*X^-1*Y^3*X^-1*Y^2*X^-9*Y*X^-1*Y^3*X^-1*Y^3 ] .......................... Rotary maps with 271 edges .......................... Orientable map of genus 0 and type {2,271}_542 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1084 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^271 ] .......................... Rotary maps with 272 edges .......................... Orientable map of genus 0 and type {2,272}_272 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1088 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^272 ] Non-orientable map of genus 1 and type {2,544}_544 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1088 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 65 and type {4,68}_68 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1088 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^68 ] Orientable map of genus 67 and type {4,136}_136 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1088 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 67 and type {4,136}_136 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1088 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^136 ] Orientable map of genus 68 and type {4,272}_272 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1088 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 99 and type {8,68}_136 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1088 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^68 ] Orientable map of genus 99 and type {8,68}_136 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1088 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^8, (b*c)^68 ] Orientable map of genus 112 and type {16,34}_272 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1088 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, (b*c)^34 ] Orientable map of genus 116 and type {16,68}_272 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1088 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_68 isomorphic to its dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1 ] Chiral map of genus 35 and type {4,8}_136 not isomorphic to its dual or mirror-dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 35 and type {4,8}_136 not isomorphic to its dual or mirror-dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, Y*X^-1*Y^2*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1 ] Chiral map of genus 69 and type {8,8}_68 isomorphic to its dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X^2*Y^2*X^-2*Y^-1*X*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 69 and type {8,8}_68 isomorphic to its dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^2*X*Y^-1*X*Y^-1 ] Chiral map of genus 69 and type {8,8}_68 not isomorphic to its dual or mirror-dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X^-2*Y*X^-3*Y^4*X*Y^-1 ] Chiral map of genus 103 and type {16,16}_34 isomorphic to its dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-1*X*Y^-2*X*Y^-1*X^-2*Y^2*X^-1*Y*X^-2*Y^-1*X, X^16 ] Chiral map of genus 103 and type {16,16}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y*X^6*Y^2*X^-2*Y, (X^-5*Y*X^-2)^2 ] Chiral map of genus 103 and type {16,16}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X^2*Y^-1*X^8*Y^-3*X^2 ] Chiral map of genus 103 and type {16,16}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^3*Y^-1*X*Y*X^-1, Y*X*Y^-1*X^4*Y^2*X^-1*Y^2, X*Y^-1*X^9*Y^-2*X*Y^-1*X ] Chiral map of genus 103 and type {16,16}_68 isomorphic to its dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^2*Y^-2*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 103 and type {16,16}_68 not isomorphic to its dual or mirror-dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y^-1*X^-1*Y*X^4*Y^-2*X*Y^-2 ] .......................... Rotary maps with 273 edges .......................... Orientable map of genus 0 and type {2,273}_546 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1092 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^273 ] Non-orientable map of genus 15 and type {3,7}_13 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1092 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (c*b)^7, c*b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b ] Non-orientable map of genus 106 and type {6,7}_13 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1092 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (c*b)^7, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, b*c*a*b*c*a*b*a*b*c*a*b*a*c*b*a*b*a*c*b*a*c*b*a ] Non-orientable map of genus 181 and type {6,182}_273 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1092 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 119 and type {7,7}_7 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1092 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^7, (c*b)^7, (a*b*c*b*c*b*a*b)^2, b*a*b*c*a*b*a*b*a*b*a*c*b*a*b*a*b*a*c*b*a ] Non-orientable map of genus 119 and type {7,7}_7 invariant under all six Wilson transforms Automorphism group of order 1092 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^7, (c*b)^7, c*b*a*b*a*b*c*b*a*b*a*b*c*b*c*b*a*b*c*b, b*c*b*a*b*c*a*b*a*b*a*c*b*c*b*a*c*b*c*b*a ] Non-orientable map of genus 155 and type {7,13}_13 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1092 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^7, b*c*b*a*b*c*b*a*b*a*b*c*b*a*b*c*b*a*c, b*a*b*c*a*b*c*b*a*b*a*c*b*c*b*a*b*a*c*b*c ] Non-orientable map of genus 229 and type {14,78}_273 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1092 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 241 and type {26,42}_273 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1092 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*b*c*b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] Chiral map of genus 1 and type {3,6}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 546 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^3*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y ] Chiral map of genus 1 and type {3,6}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 546 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1 ] Chiral map of genus 79 and type {6,21}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 546 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-1*Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 85 and type {6,39}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 546 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-2*Y*X^-1*Y, Y^-3*X^-1*Y*X*Y^-1*X^2*Y^-1*X^2*Y^-7 ] Chiral map of genus 118 and type {21,42}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 546 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^2, X^-3*Y*X^-2*Y*X^-10*Y*X^-2*Y ] Chiral map of genus 127 and type {39,78}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 546 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y^16*X^-3*Y*X^-10*Y^2*X^-3*Y^3*X^-1 ] .......................... Rotary maps with 274 edges .......................... Orientable map of genus 0 and type {2,274}_274 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1096 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^274 ] Non-orientable map of genus 1 and type {2,548}_548 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1096 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_274 isomorphic to its dual Automorphism group of order 548 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X ] .......................... Rotary maps with 275 edges .......................... Orientable map of genus 0 and type {2,275}_550 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1100 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^275 ] Orientable map of genus 106 and type {10,55}_110 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1100 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^10, (c*b)^55 ] Non-orientable map of genus 241 and type {22,50}_275 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1100 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^22, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] Chiral map of genus 56 and type {5,10}_110 not isomorphic to its dual or mirror-dual Automorphism group of order 550 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, (X*Y^-2*X*Y^-1)^2, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1 ] Chiral map of genus 56 and type {5,10}_110 not isomorphic to its dual or mirror-dual Automorphism group of order 550 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, (X*Y^-2*X*Y^-1)^2, Y^-3*X*Y^-1*X^-2*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 122 and type {25,50}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 550 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, X^-2*Y*X^3*Y^-1*X*Y^2, X^-1*Y^7*X^-1*Y*X^-1*Y*X^-10*Y*X^-2 ] Chiral map of genus 122 and type {25,50}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 550 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y^6*X^-3*Y*X^-1*Y^2*X^-11*Y ] .......................... Rotary maps with 276 edges .......................... Orientable map of genus 0 and type {2,276}_276 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1104 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^276 ] Non-orientable map of genus 1 and type {2,552}_552 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1104 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 66 and type {4,69}_138 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1104 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (c*b)^69 ] Non-orientable map of genus 136 and type {4,138}_138 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1104 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^138 ] Orientable map of genus 68 and type {4,138}_276 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1104 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^138 ] Orientable map of genus 89 and type {6,69}_92 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1104 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 90 and type {6,92}_276 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1104 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^92 ] Orientable map of genus 110 and type {12,46}_276 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1104 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^46 ] Orientable map of genus 113 and type {12,92}_138 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1104 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 277 edges .......................... Orientable map of genus 0 and type {2,277}_554 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1108 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^277 ] .......................... Rotary maps with 278 edges .......................... Orientable map of genus 0 and type {2,278}_278 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1112 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^278 ] Non-orientable map of genus 1 and type {2,556}_556 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1112 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 279 edges .......................... Orientable map of genus 0 and type {2,279}_558 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1116 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^279 ] Orientable map of genus 91 and type {6,93}_186 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1116 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (c*b)^93 ] Non-orientable map of genus 241 and type {18,62}_279 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1116 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 1 and type {3,6}_186 not isomorphic to its dual or mirror-dual Automorphism group of order 558 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y^-1 ] Chiral map of genus 94 and type {9,18}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 558 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y*X^-1*Y^3*X*Y^-2*X^-2*Y^-1*X*Y^2*X^-1*Y^2*X^-1*Y ] .......................... Rotary maps with 280 edges .......................... Orientable map of genus 0 and type {2,280}_280 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1120 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^280 ] Non-orientable map of genus 1 and type {2,560}_560 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1120 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 126 and type {4,35}_35 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1120 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, a*b*c*a*b*c*b*a*b*a*c*b*c*b*c*b*a*b*c, (c*b)^35 ] Orientable map of genus 69 and type {4,140}_140 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1120 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^140 ] Orientable map of genus 70 and type {4,280}_280 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1120 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 102 and type {8,70}_280 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1120 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^70 ] Orientable map of genus 104 and type {8,140}_280 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1120 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 108 and type {10,56}_280 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1120 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^56 ] Orientable map of genus 114 and type {14,40}_280 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1120 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, (b*c)^40 ] Orientable map of genus 117 and type {20,28}_140 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1120 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^20, (b*c)^28 ] Orientable map of genus 122 and type {20,56}_280 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1120 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^20, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 124 and type {28,40}_280 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1120 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] Orientable map of genus 129 and type {40,56}_70 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1120 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, c*b*c*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*a*c*b ] Orientable map of genus 129 and type {40,56}_140 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1120 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, c*b*c*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b ] Chiral map of genus 61 and type {4,28}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 560 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^28 ] Chiral map of genus 101 and type {8,56}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 560 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^2*X*Y^-1*X^-1*Y^2*X*Y^-2*X^-1*Y^7 ] Chiral map of genus 101 and type {8,56}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 560 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^6*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^2 ] Chiral map of genus 113 and type {14,35}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 560 with defining relations: [ (X*Y)^2, Y^-1*X^-5*Y^3*X^-1*Y^-1 ] Chiral map of genus 121 and type {28,28}_20 isomorphic to its dual Automorphism group of order 560 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^-2*X*Y^-1*X^2*Y^-2*X*Y^-1*X^7*Y^-2*X*Y^-3*X*Y^-1*X^3 ] Chiral map of genus 129 and type {35,70}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 560 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y^3*X^-1, X^-2*Y*X^-18*Y*X^-11*Y^2 ] Chiral map of genus 131 and type {56,56}_10 isomorphic to its dual Automorphism group of order 560 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y*X^-26*Y^3*X^-1*Y^3*X^-1*Y^2*X^-8*Y*X^-1*Y^2*X^-1*Y*X^-1*Y^3 ] Chiral map of genus 131 and type {56,56}_20 isomorphic to its dual Automorphism group of order 560 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, X*Y^-3*X^2*Y^-1*X*Y^-1*X*Y^-1*X^6*Y^-2*X*Y^-3*X*Y^-1*X*Y^-2 ] Chiral map of genus 133 and type {70,70}_4 isomorphic to its mirror-dual Automorphism group of order 560 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-1*Y, X^-54*Y^2*X^-12*Y^2 ] .......................... Rotary maps with 281 edges .......................... Orientable map of genus 0 and type {2,281}_562 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1124 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^281 ] .......................... Rotary maps with 282 edges .......................... Orientable map of genus 0 and type {2,282}_282 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1128 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^282 ] Non-orientable map of genus 1 and type {2,564}_564 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1128 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 139 and type {4,141}_141 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1128 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^141 ] Orientable map of genus 92 and type {6,94}_282 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1128 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^94 ] .......................... Rotary maps with 283 edges .......................... Orientable map of genus 0 and type {2,283}_566 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1132 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^283 ] .......................... Rotary maps with 284 edges .......................... Orientable map of genus 0 and type {2,284}_284 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1136 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^284 ] Non-orientable map of genus 1 and type {2,568}_568 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1136 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 70 and type {4,142}_284 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1136 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^142 ] .......................... Rotary maps with 285 edges .......................... Orientable map of genus 0 and type {2,285}_570 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1140 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^285 ] Non-orientable map of genus 189 and type {6,190}_285 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1140 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 225 and type {10,114}_285 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1140 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 253 and type {30,38}_285 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1140 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*b*c*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] Chiral map of genus 77 and type {6,15}_190 not isomorphic to its dual or mirror-dual Automorphism group of order 570 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-1*Y*X^2*Y^-1*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 115 and type {15,30}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 570 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^-15, Y^-1*X*Y^-2*X*Y^-1*X^-2*Y^3*X^-1*Y*X^-1*Y^-2 ] .......................... Rotary maps with 286 edges .......................... Orientable map of genus 0 and type {2,286}_286 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1144 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^286 ] Non-orientable map of genus 1 and type {2,572}_572 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1144 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 120 and type {22,26}_286 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1144 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^22, (b*c)^26 ] Chiral map of genus 131 and type {44,44}_26 isomorphic to its dual Automorphism group of order 572 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X^-2*Y*X^-1*Y^3*X^-1*Y*X^-6*Y^2*X^-1*Y*X^-2*Y ] .......................... Rotary maps with 287 edges .......................... Orientable map of genus 0 and type {2,287}_574 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1148 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^287 ] Non-orientable map of genus 241 and type {14,82}_287 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1148 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 288 edges .......................... Orientable map of genus 0 and type {2,288}_288 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^288 ] Non-orientable map of genus 1 and type {2,576}_576 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 25 and type {3,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^12, c*b*c*a*b*c*b*c*b*c*a*b*c*a*b*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 25 and type {3,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, c*a*b*c*b*c*b*c*b*c*b*a*b*c*b*c*b*c*b*c*b*a*c*b, b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c ] Orientable map of genus 37 and type {3,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b ] Orientable map of genus 1 and type {4,4}_24 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^4, (a*b*c*b)^12 ] Non-orientable map of genus 50 and type {4,6}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, c*b*c*a*b*c*a*b*c*b*c*b*a*b*a*c*b*c*b*a*c*b*a*c*b, a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 37 and type {4,8}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^8, a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 37 and type {4,8}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (c*b*a*b)^3, (b*c)^8, a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 37 and type {4,8}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^8, a*b*c*a*b*c*a*b*c*b*a*b*c*a*b*c*b*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Non-orientable map of genus 82 and type {4,9}_9 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (c*b)^9, b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 55 and type {4,16}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, (a*b*c*b)^6, (b*c)^16 ] Orientable map of genus 55 and type {4,16}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, b*c*a*b*c*b*a*b*c*b*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c ] Orientable map of genus 57 and type {4,18}_18 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, b*c*a*b*c*b*c*b*c*b*a*b*a*c*b*a*c*b*a*c*b*c*b*a, (b*c)^18 ] Orientable map of genus 57 and type {4,18}_72 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*a*b*c*b*a*b*a*c*b*a*c*b*c*b*a*b, (b*c)^18 ] Orientable map of genus 65 and type {4,36}_36 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, (b*c)^36 ] Non-orientable map of genus 130 and type {4,36}_36 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, b*c*a*b*c*b*c*b*c*b*a*b*a*c*b*a*c*b*a*c*b*c*b*a, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 130 and type {4,36}_36 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, (b*c)^36 ] Orientable map of genus 65 and type {4,36}_72 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^36 ] Orientable map of genus 65 and type {4,36}_72 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*a*b*c*b*a*b*a*c*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 69 and type {4,72}_72 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^72 ] Orientable map of genus 69 and type {4,72}_72 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 69 and type {4,72}_72 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (b*c)^72 ] Orientable map of genus 71 and type {4,144}_144 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 71 and type {4,144}_144 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^144 ] Non-orientable map of genus 142 and type {4,144}_144 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 142 and type {4,144}_144 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^144 ] Orientable map of genus 72 and type {4,288}_288 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 49 and type {6,6}_6 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b ] Orientable map of genus 49 and type {6,6}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, c*a*b*c*b*c*a*b*a*b*a*c*b*c*b*a*c*b*a*b, (a*b*c*b*c*b*a*b*c*b*a*b)^2 ] Non-orientable map of genus 98 and type {6,6}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, (a*b*c*b)^4, b*c*b*a*b*c*b*c*b*a*b*c*b*c*b*a*c*b*c ] Orientable map of genus 49 and type {6,6}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, c*a*b*c*b*c*a*b*a*b*a*c*b*c*b*a*c*b*a*b, c*a*b*a*b*c*b*a*b*a*b*a*c*b*a*b*c*b*a*b*a*b, a*b*c*a*b*c*b*a*b*c*b*c*a*b*a*c*b*c*b*a*b*c*b*c ] Orientable map of genus 49 and type {6,6}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, (b*c)^6, a*b*c*a*b*a*b*c*a*b*a*b*c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b*a*c*b*a*b*a*c*b ] Non-orientable map of genus 122 and type {6,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*b*a*b*a*b*a*c*b*a*b*a*b, (b*c)^8, b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c ] Non-orientable map of genus 122 and type {6,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, (b*c)^8, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b ] Orientable map of genus 73 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b, (b*c)^12 ] Orientable map of genus 73 and type {6,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, c*a*b*c*a*b*c*b*a*b*a*c*b*a*c*b*c*b*a*b, (b*c)^12 ] Orientable map of genus 73 and type {6,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, b*c*a*b*a*b*c*a*b*c*b*a*b*c*b*a*b*c*b*a*b*c, c*a*b*a*b*c*b*a*b*a*b*a*c*b*a*b*c*b*a*b*a*b, (b*c)^12 ] Orientable map of genus 73 and type {6,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*b*a*c*b*c*b*a*b*a*b, c*a*b*c*b*c*a*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 73 and type {6,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b, c*a*b*c*a*b*c*b*a*b*a*c*b*a*b*c*b*a*c*b ] Orientable map of genus 73 and type {6,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, b*c*a*b*c*b*c*a*b*c*b*a*c*b*a*c*b*a*b*c*b*c, (b*c)^12 ] Orientable map of genus 73 and type {6,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, b*c*b*c*a*b*a*b*a*c*b*c*b*c*b*c, b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c ] Orientable map of genus 85 and type {6,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, (b*c)^24 ] Orientable map of genus 85 and type {6,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*c*a*b*a*b*a*c*b*c*b*a*c*b*a*b, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b, c*a*b*a*b*c*b*a*b*a*b*a*c*b*a*b*c*b*a*b*a*b ] Orientable map of genus 85 and type {6,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b, a*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b ] Orientable map of genus 88 and type {6,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (b*c)^32 ] Orientable map of genus 94 and type {6,96}_96 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (b*c)^96 ] Orientable map of genus 94 and type {6,96}_96 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 73 and type {8,8}_12 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*c*b*c*b*c*b, (a*b)^8, a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 73 and type {8,8}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b)^2, (b*c)^8, a*b*c*b*a*b*c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b*c*b ] Orientable map of genus 73 and type {8,8}_24 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b)^2, (b*c)^8, (a*b*c*b)^6 ] Orientable map of genus 73 and type {8,8}_24 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b)^2, (b*c)^8, b*c*b*c*a*b*c*b*c*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b*c*b*a ] Orientable map of genus 73 and type {8,8}_24 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*c*b*c*b*c*b, (a*b)^8, a*b*c*a*b*c*a*b*c*a*b*a*b*c*b*c*b*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 77 and type {8,9}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (c*b)^9, c*a*b*a*b*c*a*b*a*b*a*b*a*c*b*a*b*a*c*b*a*b*a*b ] Orientable map of genus 91 and type {8,16}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b)^2, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b, a*b*c*b*a*b*c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b*c*b ] Orientable map of genus 91 and type {8,16}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b)^2, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b, (a*b*c*b)^6 ] Orientable map of genus 93 and type {8,18}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c, (b*c)^18 ] Non-orientable map of genus 186 and type {8,18}_18 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, b*c*a*b*c*a*b*a*b*a*c*b*c*b*c*b*a*b*c, (b*c)^18 ] Non-orientable map of genus 186 and type {8,18}_18 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, c*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, (b*c)^18 ] Orientable map of genus 93 and type {8,18}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, (b*c)^18 ] Orientable map of genus 93 and type {8,18}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 93 and type {8,18}_72 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, b*c*b*c*b*c*b*a*b*a*c*b*c*b*a*c*b*a, (b*c)^18 ] Orientable map of genus 101 and type {8,36}_36 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^36 ] Orientable map of genus 101 and type {8,36}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 101 and type {8,36}_36 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*a*b*a*b*a*c*b*c*b*a*b, (b*c)^36 ] Orientable map of genus 101 and type {8,36}_36 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^36 ] Non-orientable map of genus 202 and type {8,36}_36 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, c*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c ] Non-orientable map of genus 202 and type {8,36}_36 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, b*c*a*b*c*a*b*a*b*a*c*b*c*b*c*b*a*b*c, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 101 and type {8,36}_72 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^36 ] Orientable map of genus 101 and type {8,36}_72 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, b*c*b*c*b*c*b*a*b*a*c*b*c*b*a*c*b*a, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c ] Orientable map of genus 105 and type {8,72}_72 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 105 and type {8,72}_72 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^72 ] Orientable map of genus 105 and type {8,72}_72 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 105 and type {8,72}_72 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 105 and type {8,72}_72 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 105 and type {8,72}_72 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*a*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 107 and type {8,144}_144 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 214 and type {8,144}_144 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 97 and type {12,12}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, (a*b)^12, (b*c)^12 ] Orientable map of genus 97 and type {12,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, (a*b)^12, (b*c)^12 ] Orientable map of genus 97 and type {12,12}_24 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, (a*b)^12, (b*c)^12 ] Orientable map of genus 97 and type {12,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, b*c*b*a*b*a*b*a*b*a*b*a*c*b*c*b*a*c*b*c*b*c, c*a*b*a*b*c*b*a*b*a*b*a*c*b*a*b*c*b*a*b*a*b ] Orientable map of genus 97 and type {12,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, c*a*b*c*b*c*b*a*b*a*b*c*b*c*b*a*c*b, b*c*b*c*a*b*c*b*a*b*a*c*b*a*c*b*a*c*b*a ] Orientable map of genus 97 and type {12,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b*a*b)^2, c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b, (a*b)^12 ] Orientable map of genus 97 and type {12,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, b*c*b*c*a*b*a*b*a*b*a*c*b*c*b*a*c*b*a*c, c*a*b*a*b*c*b*a*b*a*b*a*c*b*a*b*c*b*a*b*a*b, (a*b)^12 ] Orientable map of genus 97 and type {12,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*c*b*a*c*b*c*b*c*b, c*a*b*a*b*c*b*a*b*a*b*a*c*b*a*b*c*b*a*b*a*b, (a*b)^12 ] Orientable map of genus 97 and type {12,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, c*a*b*a*b*c*b*a*b*a*b*a*b*c*b*a*b*a*c*b*a*b, (b*c)^12 ] Orientable map of genus 103 and type {12,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^12, b*c*a*b*a*b*a*b*c*b*a*b*a*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c ] Orientable map of genus 103 and type {12,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^12, (a*b*c*b*a*b*a*b*a*b*a*b)^2, (b*c)^16 ] Orientable map of genus 109 and type {12,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, (a*b)^12, (b*c)^24 ] Orientable map of genus 109 and type {12,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*b*a*c*b*c*b*a*b*c*b, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, (a*b)^12, b*c*b*c*a*b*c*b*c*b*c*b*c*a^2*b*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 109 and type {12,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, (a*b)^12, b*c*b*c*a*b*c*b*c*b*c*b*c*a^2*b*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 109 and type {12,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c, (b*c)^24 ] Orientable map of genus 109 and type {12,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b, (a*b)^12 ] Orientable map of genus 109 and type {12,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*b*a*c*b*a*c*b*a*b*a, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b ] Orientable map of genus 112 and type {12,32}_32 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^12, (a*b*c*b*a*b*a*b*a*b*a*b)^2, c*b*c*b*c*a*b*c*a*b*c*b*c*a*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b ] Orientable map of genus 115 and type {12,48}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 115 and type {12,48}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^12, (b*c)^48 ] Orientable map of genus 115 and type {12,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^12, c*b*c*b*a*b*a*b*c*b*a*b*a*b*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 115 and type {12,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^12, (a*b*c*b*a*b*a*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 118 and type {12,96}_96 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 118 and type {12,96}_96 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^12, (a*b*c*b*a*b*a*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c ] Orientable map of genus 109 and type {16,16}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*a*b*a*b*a*b*a*b*c*b*c*b*c*b, c*a*b*c*b*c*a*b*a*b*a*c*b*c*b*a*c*b*a*b, b*c*a*b*c*b*a*b*c*b*a*b*c*b*a*b*c*b*a*b*c*b*a*c*b*c ] Orientable map of genus 119 and type {16,36}_144 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, (b*c)^36 ] Orientable map of genus 119 and type {16,36}_144 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, b*a*b*a*b*a*b*a*b*a*b*a*c*b*a*b*a*c, (b*c)^36 ] Orientable map of genus 123 and type {16,72}_144 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 123 and type {16,72}_144 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, b*a*b*a*b*a*b*a*b*a*b*a*c*b*a*b*a*c, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 120 and type {18,32}_288 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, (b*c)^32 ] Orientable map of genus 121 and type {24,24}_24 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, c*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b*a*b*c*b*c*b*a*b, b*c*b*c*a*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c ] Orientable map of genus 121 and type {24,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c, a*b*c*b*a*b*a*b*a*b*a*b*a*b*c*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b*a*b*a*b*a*b*a*b*a*b*c*b ] Orientable map of genus 121 and type {24,24}_24 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, c*b*c*b*c*b*c*b*c*b*c*b*a*b*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 121 and type {24,24}_24 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, a*b*c*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b*a*b*c*b*c*b, (b*c)^24 ] Orientable map of genus 121 and type {24,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*c*b*a*c*b*c*b*c*b, c*a*b*a*b*c*b*a*b*a*b*a*c*b*a*b*c*b*a*b*a*b, a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b*c*b*a*b*c*b*c*b ] Orientable map of genus 121 and type {24,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, b*c*b*c*a*b*a*b*a*b*a*c*b*c*b*a*c*b*a*c, c*a*b*a*b*c*b*a*b*a*b*a*c*b*a*b*c*b*a*b*a*b, a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b*c*b*a*b*c*b*c*b ] Orientable map of genus 127 and type {24,48}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b*a*b*c*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 127 and type {24,48}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, a*b*c*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b*a*b*c*b*c*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 127 and type {24,48}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*b*c*b*a*b*a*b*c*b*a*b*a*b*c*b*c*b*c*b*c*b*c*b, a*b*c*a*b*a*b*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b*a*b ] Orientable map of genus 128 and type {32,36}_288 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1152 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] Chiral map of genus 37 and type {4,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^4, Y^8, Y^2*X^-1*Y*X^-1*Y*X^2*Y^-2*X*Y*X^-1*Y, Y^-1*X^-1*Y^2*X*Y^-1*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 55 and type {4,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^2*X^-1*Y*X*Y^-1*X^-1*Y^2*X^-1*Y^2, Y^16 ] Chiral map of genus 55 and type {4,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^4, Y^-2*X^-1*Y*X*Y^-1*X^-1*Y^2*X^-1*Y^-2 ] Chiral map of genus 49 and type {6,6}_12 isomorphic to its dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-1)^4, Y*X^-2*Y*X^3*Y^3*X^-1*Y ] Chiral map of genus 49 and type {6,6}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, X^-1*Y^2*X*Y^-1*X^-3*Y^-1*X^2*Y^-1*X*Y ] Chiral map of genus 73 and type {8,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-3)^2, X^-2*Y*X*Y^-1*X^-2*Y^-1*X^3*Y ] Chiral map of genus 73 and type {8,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-4*Y^-1*X*Y^-1 ] Chiral map of genus 73 and type {8,8}_12 isomorphic to its dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y^-1*X^3*Y^-1*X^-2*Y^4*X ] Chiral map of genus 73 and type {8,8}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1)^4, Y^-1*X^-2*Y*X^-3*Y^-1*X^3*Y^-1 ] Chiral map of genus 91 and type {8,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-3*X^4*Y^-5, Y*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y, Y*X*Y^-3*X^2*Y^-1*X*Y^3 ] Chiral map of genus 91 and type {8,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-3*X^4*Y^-5, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, Y^-1*X*Y^-3*X^2*Y^-1*X*Y^-3 ] Chiral map of genus 109 and type {16,16}_12 isomorphic to its dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, X^16 ] Chiral map of genus 109 and type {16,16}_12 isomorphic to its dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, X^2*Y^-1*X^4*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 109 and type {16,16}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, (X*Y^-2*X)^2, X^2*Y^-1*X^4*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 113 and type {18,18}_8 isomorphic to its dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^6*Y^5, Y*X*Y^-2*X^3*Y^3*X^-2, X^-2*Y*X^-3*Y*X^-4*Y^4*X^-1*Y^2 ] Chiral map of genus 127 and type {32,32}_6 isomorphic to its dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, Y^-1*X^8*Y^-1*X^5*Y^-1*X^9*Y^-1*X^3*Y^-2*X ] Chiral map of genus 127 and type {32,32}_12 isomorphic to its dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, X^11*Y^-1*X*Y^-3 ] .......................... Rotary maps with 289 edges .......................... Orientable map of genus 0 and type {2,289}_578 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1156 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^289 ] Orientable map of genus 120 and type {17,34}_34 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1156 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*c*b*c*b, (b*a)^17 ] .......................... Rotary maps with 290 edges .......................... Orientable map of genus 0 and type {2,290}_290 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1160 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^290 ] Non-orientable map of genus 1 and type {2,580}_580 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1160 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 112 and type {10,58}_290 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1160 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^58 ] Chiral map of genus 1 and type {4,4}_290 isomorphic to its dual Automorphism group of order 580 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 1 and type {4,4}_290 isomorphic to its dual Automorphism group of order 580 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^-2*X^-2 ] Chiral map of genus 117 and type {20,20}_58 isomorphic to its dual Automorphism group of order 580 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 141 and type {116,116}_10 isomorphic to its dual Automorphism group of order 580 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^29*X^-2*Y^2*X^-1*Y^3*X^-1*Y^2*X^-8*Y*X^-1*Y^2*X^-1*Y*X^-1*Y^3 ] .......................... Rotary maps with 291 edges .......................... Orientable map of genus 0 and type {2,291}_582 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1164 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^291 ] Non-orientable map of genus 193 and type {6,194}_291 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1164 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 1 and type {3,6}_194 not isomorphic to its dual or mirror-dual Automorphism group of order 582 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] .......................... Rotary maps with 292 edges .......................... Orientable map of genus 0 and type {2,292}_292 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1168 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^292 ] Non-orientable map of genus 1 and type {2,584}_584 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1168 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 72 and type {4,146}_292 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1168 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^146 ] Chiral map of genus 1 and type {4,4}_146 isomorphic to its dual Automorphism group of order 584 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] Chiral map of genus 74 and type {8,8}_146 not isomorphic to its dual or mirror-dual Automorphism group of order 584 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X*Y^-1*X^-1*Y*X^3*Y^-1*X^2*Y^2 ] .......................... Rotary maps with 293 edges .......................... Orientable map of genus 0 and type {2,293}_586 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1172 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^293 ] .......................... Rotary maps with 294 edges .......................... Orientable map of genus 0 and type {2,294}_294 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1176 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^294 ] Non-orientable map of genus 1 and type {2,588}_588 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1176 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 145 and type {4,147}_147 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1176 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^147 ] Orientable map of genus 50 and type {6,6}_14 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1176 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (b*c)^6, c*a*b*c*a*b*c*a*b*c*b*a*b*c*b*c*a*b*c*b*a*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] Orientable map of genus 96 and type {6,98}_294 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1176 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^98 ] Orientable map of genus 99 and type {12,12}_14 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1176 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*c*b*c*b*c*b, (a*b)^12, c*b*a*b*c*a*b*a*b*c*b*a*b*c*b*a*b*c*b*a*b*c*b*a*b*a*c*b*a*b ] Orientable map of genus 120 and type {14,42}_42 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1176 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c, (a*b)^14, a*b*a*b*c*b*a*b*a*b*a*b*a*b*c*b*a*b*a*b*c*b*c*b*c*b*c*b ] Orientable map of genus 120 and type {14,42}_42 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1176 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, (b*c)^42 ] Chiral map of genus 50 and type {6,6}_14 isomorphic to its dual Automorphism group of order 588 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, X*Y^-1*X^-2*Y*X^2*Y^3*X*Y^-1 ] Chiral map of genus 50 and type {6,6}_14 isomorphic to its mirror-dual Automorphism group of order 588 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X^-1*Y*X*Y^-1*X^2*Y^2*X^-2*Y^-1 ] Chiral map of genus 50 and type {6,6}_98 not isomorphic to its dual or mirror-dual Automorphism group of order 588 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X^-1*Y*X^-2*Y*X^2*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y*X^-2*Y^-1*X^2*Y ] Chiral map of genus 92 and type {6,42}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 588 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^2*Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y^-1*X^2*Y*X^-1*Y, Y^-3*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-7 ] Chiral map of genus 92 and type {6,42}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 588 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^-6*X^2*Y^-1*X^2*Y^-7 ] Chiral map of genus 99 and type {12,12}_14 isomorphic to its mirror-dual Automorphism group of order 588 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, X^12, (X*Y^-2*X^3)^2, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1 ] Chiral map of genus 134 and type {42,42}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 588 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, X^-1*Y*X^-1*Y^14*X^-2*Y^4*X^-9*Y*X^-1*Y^2*X^-2*Y*X^-1*Y*X^-1 ] .......................... Rotary maps with 295 edges .......................... Orientable map of genus 0 and type {2,295}_590 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1180 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^295 ] Non-orientable map of genus 233 and type {10,118}_295 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1180 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 296 edges .......................... Orientable map of genus 0 and type {2,296}_296 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1184 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^296 ] Non-orientable map of genus 1 and type {2,592}_592 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1184 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 73 and type {4,148}_148 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1184 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^148 ] Orientable map of genus 74 and type {4,296}_296 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1184 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 108 and type {8,74}_296 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1184 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^74 ] Orientable map of genus 110 and type {8,148}_296 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1184 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_148 isomorphic to its dual Automorphism group of order 592 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 75 and type {8,8}_74 isomorphic to its dual Automorphism group of order 592 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^2*X^-2*Y*X^-1*Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^2*X^-2 ] Chiral map of genus 75 and type {8,8}_148 isomorphic to its dual Automorphism group of order 592 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y*X^-2*Y*X^-1*Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] .......................... Rotary maps with 297 edges .......................... Orientable map of genus 0 and type {2,297}_594 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1188 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^297 ] Orientable map of genus 91 and type {6,33}_66 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1188 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c, (c*b)^33 ] Orientable map of genus 97 and type {6,99}_198 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1188 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (c*b)^99 ] Non-orientable map of genus 257 and type {18,66}_99 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1188 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 261 and type {22,54}_297 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1188 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^22, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] Chiral map of genus 97 and type {6,99}_198 not isomorphic to its dual or mirror-dual Automorphism group of order 594 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-17*X^3*Y*X^-1*Y^-15 ] Chiral map of genus 142 and type {66,99}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 594 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, Y*X^-11*Y*X^-1*Y^2*X^-1*Y^2*X^-9*Y^2*X^-2*Y ] .......................... Rotary maps with 298 edges .......................... Orientable map of genus 0 and type {2,298}_298 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1192 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^298 ] Non-orientable map of genus 1 and type {2,596}_596 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1192 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_298 isomorphic to its dual Automorphism group of order 596 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y*X^-1*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] .......................... Rotary maps with 299 edges .......................... Orientable map of genus 0 and type {2,299}_598 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1196 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^299 ] Non-orientable map of genus 265 and type {26,46}_299 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1196 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] .......................... Rotary maps with 300 edges .......................... Orientable map of genus 0 and type {2,300}_300 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^300 ] Non-orientable map of genus 1 and type {2,600}_600 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 1 and type {3,6}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^6, c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*a*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] Orientable map of genus 16 and type {4,5}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (c*b)^5, (a*b*c*b)^6, a*b*c*b*a*b*c*b*c*a*b*c*a*b*a*c*b*c*b*a*b*c*b*a*c*b*a*c*b*c ] Orientable map of genus 51 and type {4,12}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^12, a*b*c*a*b*c*b*a*b*c*a*b*c*b*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 72 and type {4,75}_150 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (c*b)^75 ] Non-orientable map of genus 148 and type {4,150}_150 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^150 ] Orientable map of genus 74 and type {4,150}_300 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^150 ] Orientable map of genus 41 and type {5,6}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (b*c)^6, c*a*b*c*b*c*b*a*b*c*b*a*b*c*b*c*b*a*c*b*c*b ] Orientable map of genus 41 and type {5,6}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (b*c)^6, (a*b*c*b)^4, c*a*b*c*b*c*a*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 61 and type {5,10}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b, (b*c)^10 ] Non-orientable map of genus 142 and type {6,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*c*b*a*b*a*c*b*a*c*b*a*c*b*a, (b*c)^10, c*a*b*a*b*c*b*a*b*a*b*a*c*b*a*b*c*b*a*b*a*b ] Orientable map of genus 76 and type {6,12}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*b*a*c*b*c*b*a*b*a*b, c*a*b*a*b*c*b*a*b*a*c*b*c*b*c*b*c*b, a*b*c*a*b*c*a*b*c*b*a*b*c*b*c*a*b*a*c*b*a*c*b*c*b*a*b*c*b*c ] Orientable map of genus 76 and type {6,12}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, (b*c)^12, a*b*c*a*b*c*a*b*c*a*b*a*b*c*b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*c ] Non-orientable map of genus 182 and type {6,30}_30 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*b*c*a*b*c*b*a*b*a*c*b*c*b*a*c*b*a*b, (a*b*c*b*a*b*c*b*a*b)^2, c*b*c*a*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*a*c*b*a*c*b ] Orientable map of genus 97 and type {6,75}_100 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 98 and type {6,100}_300 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^100 ] Non-orientable map of genus 182 and type {10,10}_15 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, (a*b)^10, (a*b*c*b*c*b*c*b*c*b)^2, (b*c)^10, b*c*a*b*c*b*c*b*a*b*a*b*a*b*a*b*c*b*a*b*a*b*c ] Non-orientable map of genus 182 and type {10,10}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b, (a*b)^10, (a*b*c*b*a*b*a*b*a*b)^2, (b*c)^10, c*b*c*b*a*b*c*b*a*b*a*c*b*c*b*c*b*c*b*a*b ] Orientable map of genus 96 and type {10,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^10, (b*c)^12 ] Orientable map of genus 96 and type {10,12}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c, (a*b)^10, (b*c)^12 ] Non-orientable map of genus 212 and type {10,20}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b*c*b)^2, (a*b)^10, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, (a*b*c*b*a*b*c*b*a*b)^2, a*b*a*b*c*b*a*b*a*b*a*b*c*b*c*b*a*b*a*c*b, c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 116 and type {10,60}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^60 ] Orientable map of genus 116 and type {10,60}_60 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^10, b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 120 and type {12,50}_300 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^50 ] Orientable map of genus 123 and type {12,100}_150 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 116 and type {15,20}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*b*a*c*b*c*b*a*b*a*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b, a*b*a*b*c*b*a*b*a*b*a*b*c*b*c*b*c*b*a*b, (b*a)^15 ] Orientable map of genus 126 and type {20,30}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, a*b*c*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b, (b*c)^30 ] Orientable map of genus 126 and type {20,30}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*b*a*b*a*b*c*b*a*b*a*b*c*b*c*b*c*b*c*b, (a*b)^20 ] Orientable map of genus 126 and type {20,30}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1200 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^20, (b*c)^30 ] Chiral map of genus 51 and type {4,12}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, X^4, Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-1, X*Y^-4*X^-1*Y^2*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 51 and type {4,12}_150 not isomorphic to its dual or mirror-dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-2*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 71 and type {4,60}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^15*X*Y^-1*X*Y*X^-1*Y^-5*X*Y^8 ] Chiral map of genus 101 and type {12,12}_10 isomorphic to its dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-1*X*Y^-3, Y*X*Y^-1*X^4*Y^3*X^-1*Y, X*Y^-3*X^3*Y^-2*X*Y^-1*X ] Chiral map of genus 101 and type {12,12}_50 isomorphic to its dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X^-1*Y*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 111 and type {12,20}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1, X^-1*Y*X*Y^-2*X^3*Y*X^-1*Y^-6 ] Chiral map of genus 121 and type {12,60}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1, Y^4*X*Y^-1*X^2*Y^-2*X*Y^3 ] Chiral map of genus 131 and type {20,60}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y*X^-1*Y^3*X^-1*Y*X^-1*Y*X^-7*Y*X^-2*Y ] Chiral map of genus 126 and type {24,24}_10 isomorphic to its mirror-dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, X*Y^-1*X^5*Y^-1*X^3*Y^-1 ] Chiral map of genus 126 and type {24,24}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^2*X^-1*Y, X^8*Y^-2*X*Y^-1 ] Chiral map of genus 141 and type {60,60}_10 isomorphic to its dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^-1*Y^29*X^-2*Y^2*X^-1*Y^3*X^-1*Y^2*X^-8*Y*X^-1*Y^3*X^-1*Y^3*X^-1 ] .......................... Rotary maps with 301 edges .......................... Orientable map of genus 0 and type {2,301}_602 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1204 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^301 ] Non-orientable map of genus 253 and type {14,86}_301 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1204 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 87 and type {7,14}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 602 with defining relations: [ (X*Y)^2, X^7, Y^3*X^-3*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 87 and type {7,14}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 602 with defining relations: [ (X*Y)^2, X^7, X^-2*Y*X^3*Y*X^-1*Y^-2 ] Chiral map of genus 87 and type {7,14}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 602 with defining relations: [ (X*Y)^2, X^7, Y*X*Y^-1*X^3*Y*X^-2*Y ] .......................... Rotary maps with 302 edges .......................... Orientable map of genus 0 and type {2,302}_302 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1208 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^302 ] Non-orientable map of genus 1 and type {2,604}_604 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1208 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 303 edges .......................... Orientable map of genus 0 and type {2,303}_606 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1212 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^303 ] Non-orientable map of genus 201 and type {6,202}_303 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1212 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 304 edges .......................... Orientable map of genus 0 and type {2,304}_304 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1216 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^304 ] Non-orientable map of genus 1 and type {2,608}_608 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1216 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 73 and type {4,76}_76 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1216 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^76 ] Orientable map of genus 75 and type {4,152}_152 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1216 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 75 and type {4,152}_152 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1216 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^152 ] Orientable map of genus 76 and type {4,304}_304 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1216 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 111 and type {8,76}_152 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1216 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^76 ] Orientable map of genus 111 and type {8,76}_152 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1216 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^8, (b*c)^76 ] Orientable map of genus 126 and type {16,38}_304 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1216 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, (b*c)^38 ] Orientable map of genus 130 and type {16,76}_304 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1216 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 305 edges .......................... Orientable map of genus 0 and type {2,305}_610 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1220 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^305 ] Non-orientable map of genus 241 and type {10,122}_305 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1220 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 62 and type {5,10}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 610 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, (X*Y^-2*X*Y^-1)^2, Y^-1*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X^2*Y^-1 ] Chiral map of genus 62 and type {5,10}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 610 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, (X*Y^-2*X*Y^-1)^2, Y^-1*X^-1*Y*X*Y^-1*X^-2*Y^-2*X*Y^-3 ] .......................... Rotary maps with 306 edges .......................... Orientable map of genus 0 and type {2,306}_306 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1224 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^306 ] Non-orientable map of genus 1 and type {2,612}_612 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1224 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 151 and type {4,153}_153 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1224 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^153 ] Non-orientable map of genus 197 and type {6,68}_68 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1224 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*a*b*a*c*b*a*c*b*a, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 100 and type {6,102}_102 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1224 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 100 and type {6,102}_102 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1224 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^102 ] Orientable map of genus 128 and type {18,34}_306 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1224 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, (b*c)^34 ] Chiral map of genus 1 and type {4,4}_102 isomorphic to its dual Automorphism group of order 612 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 137 and type {36,36}_34 isomorphic to its dual Automorphism group of order 612 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-1*X*Y^-2*X*Y^-1*X^-2*Y^2*X^-1*Y*X^-2*Y^-1*X, Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^4*Y^-2*X*Y^-2*X ] .......................... Rotary maps with 307 edges .......................... Orientable map of genus 0 and type {2,307}_614 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1228 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^307 ] .......................... Rotary maps with 308 edges .......................... Orientable map of genus 0 and type {2,308}_308 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1232 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^308 ] Non-orientable map of genus 1 and type {2,616}_616 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1232 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 76 and type {4,154}_308 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1232 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^154 ] Orientable map of genus 126 and type {14,44}_308 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1232 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, (b*c)^44 ] Orientable map of genus 130 and type {22,28}_308 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1232 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^22, (b*c)^28 ] Orientable map of genus 137 and type {28,44}_154 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1232 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 147 and type {77,77}_4 isomorphic to its mirror-dual Automorphism group of order 616 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^-2*Y^58*X^-1*Y*X^-15 ] .......................... Rotary maps with 309 edges .......................... Orientable map of genus 0 and type {2,309}_618 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1236 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^309 ] Non-orientable map of genus 205 and type {6,206}_309 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1236 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 1 and type {3,6}_206 not isomorphic to its dual or mirror-dual Automorphism group of order 618 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^2*X^-1*Y ] .......................... Rotary maps with 310 edges .......................... Orientable map of genus 0 and type {2,310}_310 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1240 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^310 ] Non-orientable map of genus 1 and type {2,620}_620 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1240 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 120 and type {10,62}_310 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1240 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^62 ] Chiral map of genus 94 and type {10,10}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 620 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, X^-2*Y*X^3*Y*X^-1*Y^-2 ] Chiral map of genus 94 and type {10,10}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 620 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^10, Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 151 and type {124,124}_10 isomorphic to its dual Automorphism group of order 620 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^33*X^-2*Y^2*X^-1*Y^3*X^-1*Y^2*X^-9*Y*X^-3*Y^4*X^-1 ] .......................... Rotary maps with 311 edges .......................... Orientable map of genus 0 and type {2,311}_622 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1244 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^311 ] .......................... Rotary maps with 312 edges .......................... Orientable map of genus 0 and type {2,312}_312 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1248 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^312 ] Non-orientable map of genus 1 and type {2,624}_624 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1248 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 75 and type {4,78}_78 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1248 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (b*c)^78 ] Orientable map of genus 77 and type {4,156}_156 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1248 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^156 ] Non-orientable map of genus 154 and type {4,156}_156 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1248 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 154 and type {4,156}_156 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1248 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^156 ] Orientable map of genus 78 and type {4,312}_312 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1248 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 99 and type {6,52}_78 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1248 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, (a*b*c*b)^4, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 102 and type {6,104}_312 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1248 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^104 ] Orientable map of genus 110 and type {8,39}_156 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1248 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (c*b)^39 ] Orientable map of genus 114 and type {8,78}_156 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1248 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 114 and type {8,78}_312 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1248 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^78 ] Orientable map of genus 116 and type {8,156}_312 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1248 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 123 and type {12,39}_104 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1248 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, c*a*b*a*b*c*b*a*b*a*b*a*b*c*b*a*b*a*c*b*a*b, b*c*b*c*b*c*b*c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b*c*b*a*c*b*a*c*b*c ] Orientable map of genus 125 and type {12,52}_156 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1248 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^52 ] Orientable map of genus 127 and type {12,78}_104 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1248 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, c*a*b*a*b*c*b*a*b*a*b*a*b*c*b*a*b*a*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 128 and type {12,104}_312 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1248 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 132 and type {24,26}_312 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1248 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^24, (b*c)^26 ] Orientable map of genus 138 and type {24,52}_312 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1248 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^24, b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] Orientable map of genus 140 and type {24,78}_104 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1248 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b*a*b*c*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 141 and type {24,104}_156 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1248 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, a*b*c*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*c*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c ] Chiral map of genus 27 and type {3,12}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, X^3, (X*Y^-5)^2, Y*X^-1*Y^2*X*Y^-2*X*Y^-2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 53 and type {4,12}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^2 ] Chiral map of genus 53 and type {6,6}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X^-1*Y*X^-3*Y*X^-2*Y^-1*X^2*Y^-2*X^-2*Y*X^-1 ] Chiral map of genus 79 and type {6,12}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^2, Y^-4*X^3*Y^-2, Y*X*Y^-2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^2*X^-1*Y^-2*X*Y^-1*X*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 92 and type {6,24}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-4*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1*Y^-1 ] Chiral map of genus 92 and type {6,24}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^-2*X^2*Y^-1*X^2*Y^-5, X*Y^-3*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 105 and type {8,24}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-2*X^2*Y^-1*X*Y^2*X^-1*Y^-1 ] Chiral map of genus 105 and type {8,24}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-2*X ] Chiral map of genus 105 and type {12,12}_52 isomorphic to its dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, X^-1*Y*X*Y^-1*X^2*Y^-2*X*Y^-1, X^12 ] Chiral map of genus 105 and type {12,12}_52 isomorphic to its dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y*X^-1*Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2*X^2*Y*X^-1 ] Chiral map of genus 105 and type {12,12}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^12, Y*X*Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1*X*Y ] Chiral map of genus 105 and type {12,12}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, X^12, (X*Y^-2*X^3)^2, X^-2*Y*X^5*Y*X^-1*Y^-1*X*Y*X^-1 ] Chiral map of genus 105 and type {12,12}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X^12, Y^-1*X^6*Y^-3*X^2 ] Chiral map of genus 118 and type {12,24}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X^-1*Y*X^2*Y^-1*X^3*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 118 and type {12,24}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, X*Y^-2*X^3*Y*X^-1*Y^-1*X, Y^-3*X^4*Y*X^-2*Y^-2, Y^-1*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^-2 ] Chiral map of genus 131 and type {24,24}_26 isomorphic to its dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X^-1*Y^2*X^-1*Y^3*X^-1*Y^2*X^-8*Y^2*X^-1*Y^3 ] Chiral map of genus 131 and type {24,24}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1, Y^-2*X*Y^-1*X*Y^-2*X^10*Y^-2*X*Y^-1*X*Y^-2 ] Chiral map of genus 131 and type {24,24}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y^3*X^3*Y^-1*X*Y^2, X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-10*Y^3 ] Chiral map of genus 131 and type {24,24}_52 isomorphic to its dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 131 and type {24,24}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y^-1*X^6*Y^-5, Y^-1*X^2*Y^-1*X^3*Y^-1*X*Y^-1*X^2 ] Chiral map of genus 131 and type {24,24}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, Y*X^6*Y*X^-2*Y^2, X*Y^-1*X^5*Y^-1*X^2*Y^-2 ] .......................... Rotary maps with 313 edges .......................... Orientable map of genus 0 and type {2,313}_626 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1252 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^313 ] .......................... Rotary maps with 314 edges .......................... Orientable map of genus 0 and type {2,314}_314 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1256 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^314 ] Non-orientable map of genus 1 and type {2,628}_628 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1256 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_314 isomorphic to its dual Automorphism group of order 628 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X ] .......................... Rotary maps with 315 edges .......................... Orientable map of genus 0 and type {2,315}_630 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1260 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^315 ] Orientable map of genus 103 and type {6,105}_210 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1260 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (c*b)^105 ] Non-orientable map of genus 249 and type {10,126}_315 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1260 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 265 and type {14,90}_315 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1260 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 273 and type {18,70}_315 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1260 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 281 and type {30,42}_105 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1260 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b ] Chiral map of genus 85 and type {6,15}_210 not isomorphic to its dual or mirror-dual Automorphism group of order 630 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^2*Y^-1*X^2*Y^-1*X*Y^-1*X^3*Y^-1*X^2*Y^2, Y^-15 ] Chiral map of genus 127 and type {15,30}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 630 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^-15, Y^2*X*Y^-2*X*Y^-2*X^-2*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 134 and type {18,45}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 630 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^-2*Y*X^-4*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 148 and type {45,90}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 630 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y^18*X^-1*Y^6*X^-1*Y*X^-9*Y*X^-3*Y^4*X^-1 ] .......................... Rotary maps with 316 edges .......................... Orientable map of genus 0 and type {2,316}_316 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1264 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^316 ] Non-orientable map of genus 1 and type {2,632}_632 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1264 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 78 and type {4,158}_316 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1264 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^158 ] .......................... Rotary maps with 317 edges .......................... Orientable map of genus 0 and type {2,317}_634 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1268 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^317 ] .......................... Rotary maps with 318 edges .......................... Orientable map of genus 0 and type {2,318}_318 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1272 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^318 ] Non-orientable map of genus 1 and type {2,636}_636 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1272 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 157 and type {4,159}_159 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1272 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^159 ] Orientable map of genus 104 and type {6,106}_318 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1272 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^106 ] Chiral map of genus 107 and type {12,12}_106 isomorphic to its dual Automorphism group of order 636 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-2*X^2*Y*X^-1 ] .......................... Rotary maps with 319 edges .......................... Orientable map of genus 0 and type {2,319}_638 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1276 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^319 ] Non-orientable map of genus 281 and type {22,58}_319 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1276 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^22, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] .......................... Rotary maps with 320 edges .......................... Orientable map of genus 0 and type {2,320}_320 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^320 ] Non-orientable map of genus 1 and type {2,640}_640 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 49 and type {4,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^10, b*c*a*b*c*b*a*b*c*b*c*a*b*c*b*c*b*a*b*c*b*c ] Orientable map of genus 49 and type {4,10}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (b*c)^10, a*b*c*a*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 49 and type {4,10}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b*c*b)^2, (b*c)^10, a*b*c*a*b*c*b*a*b*c*b*c*a*b*a*c*b*c*b*a*b*c*b*c ] Orientable map of genus 65 and type {4,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b*c*b)^2, (b*c)^20 ] Orientable map of genus 65 and type {4,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, b*c*a*b*c*b*a*b*c*b*c*a*b*c*b*c*b*a*b*c*b*c, c*a*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 65 and type {4,20}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, a*b*c*a*b*c*b*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*b*c*b*c, (b*c)^20 ] Orientable map of genus 73 and type {4,40}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, a*b*c*a*b*c*b*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*b*c*b*c, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*a*c*b*c ] Orientable map of genus 73 and type {4,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^40 ] Non-orientable map of genus 146 and type {4,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b*c*b)^2, a*b*c*a*b*c*b*a*b*c*b*c*a*b*a*c*b*c*b*a*b*c*b*c, c*b*c*a*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*a*c*b*a*c*b ] Non-orientable map of genus 146 and type {4,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b*c*b)^2, a*b*c*a*b*c*b*a*b*c*b*c*a*b*a*c*b*c*b*a*b*c*b*c, c*b*c*a*b*c*a*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b*c*b ] Non-orientable map of genus 146 and type {4,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 146 and type {4,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, a*b*c*a*b*c*b*a*b*a*c*b*c*b*c*b*a*b*c, (b*c)^40 ] Orientable map of genus 77 and type {4,80}_80 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 77 and type {4,80}_80 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^80 ] Orientable map of genus 79 and type {4,160}_160 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 79 and type {4,160}_160 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^160 ] Orientable map of genus 80 and type {4,320}_320 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 57 and type {5,8}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (a*b*c*b*c*b*c*b)^2, a*b*c*a*b*a*b*c*b*a*b*c*a*b*a*c*b*a*b*c*b*a*b*c ] Orientable map of genus 89 and type {8,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, (a*b*c*b*c*b*c*b*c*b)^2, (b*c)^10 ] Orientable map of genus 89 and type {8,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (b*c)^10, c*b*c*b*c*b*c*a*b*a*b*a*c*b*c*b*c*b*c*b*a*b ] Orientable map of genus 89 and type {8,10}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b*c*b)^2, (b*c)^10 ] Orientable map of genus 89 and type {8,10}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, (b*c)^10, b*c*a*b*c*b*a*b*c*b*c*a*b*c*b*c*b*a*b*c*b*c ] Orientable map of genus 89 and type {8,10}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*b*a*b*c*b*a*c*b*c*b*c*b*a*c*b ] Orientable map of genus 89 and type {8,10}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*c, a*b*c*a*b*c*b*a*b*c*b*c*a*b*a*c*b*c*b*a*b*c*b*c ] Orientable map of genus 89 and type {8,10}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b*c*b)^2, (b*c)^10, a*b*c*b*a*b*c*a*b*a*b*a*c*b*a*c*b*c*b*c*b*c ] Orientable map of genus 105 and type {8,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (b*c)^20 ] Orientable map of genus 105 and type {8,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, (a*b*c*b*c*b*c*b*c*b)^2, a*b*c*a*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 105 and type {8,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, c*b*c*b*c*b*c*a*b*a*b*a*c*b*c*b*c*b*c*b*a*b, c*a*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 210 and type {8,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, (a*b*c*b*c*b*c*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 210 and type {8,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, (a*b*c*b*c*b*c*b*c*b)^2, c*b*c*a*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*a*c*b*a*c*b ] Non-orientable map of genus 210 and type {8,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, a*b*c*a*b*c*b*a*b*a*c*b*c*b*c*b*a*b*c, (b*c)^20 ] Non-orientable map of genus 210 and type {8,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, c*b*c*a*b*c*b*a*b*a*c*b*c*b*a*c*b*a*b, (b*c)^20 ] Orientable map of genus 105 and type {8,20}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^20 ] Orientable map of genus 105 and type {8,20}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*c*b*c*b)^2, b*a*b*c*b*a*b*a*b*a*c*b*a*b*a*c*b*c, (b*c)^20 ] Orientable map of genus 105 and type {8,20}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, (b*c)^20 ] Orientable map of genus 113 and type {8,40}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 113 and type {8,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^40 ] Orientable map of genus 113 and type {8,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*a*c*b*c ] Orientable map of genus 113 and type {8,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^40 ] Orientable map of genus 113 and type {8,40}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c ] Non-orientable map of genus 226 and type {8,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 226 and type {8,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b*c*b)^2, c*b*c*a*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*a*c*b*a*c*b ] Non-orientable map of genus 226 and type {8,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, c*b*c*a*b*c*b*a*b*a*c*b*c*b*a*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 226 and type {8,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b, a*b*c*a*b*c*b*a*b*a*c*b*c*b*c*b*a*b*c, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 117 and type {8,80}_80 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 117 and type {8,80}_80 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 117 and type {8,80}_80 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 117 and type {8,80}_80 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^80 ] Orientable map of genus 117 and type {8,80}_80 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 117 and type {8,80}_80 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 119 and type {8,160}_160 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 124 and type {10,64}_320 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^64 ] Orientable map of genus 125 and type {16,20}_80 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, (a*b)^16, (b*c)^20 ] Orientable map of genus 125 and type {16,20}_80 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, b*a*b*c*a*b*a*b*a*b*a*c*b*a*b*a*c*b*a*c, (b*c)^20 ] Orientable map of genus 133 and type {16,40}_80 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, (a*b)^16, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 133 and type {16,40}_80 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, (b*c)^40 ] Orientable map of genus 133 and type {16,40}_80 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, (a*b)^16, b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 133 and type {16,40}_80 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b*a*b)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, b*a*b*c*a*b*a*b*a*b*a*c*b*a*b*a*c*b*a*c, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 133 and type {16,40}_80 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, (a*b)^16, b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 133 and type {16,40}_80 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, b*a*b*a*b*a*b*a*b*a*b*a*c*b*a*b*a*c, (b*c)^40 ] Orientable map of genus 133 and type {16,40}_80 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, a*b*c*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b, (b*c)^40 ] Orientable map of genus 133 and type {16,40}_80 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, a*b*a*b*a*b*a*b*a*b*c*b*a*b*c*b, (b*c)^40 ] Orientable map of genus 135 and type {20,32}_160 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c, (a*b)^20 ] Orientable map of genus 135 and type {20,32}_160 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^20, (b*c)^32 ] Orientable map of genus 140 and type {20,64}_320 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^20, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c ] Orientable map of genus 143 and type {32,40}_160 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 143 and type {32,40}_160 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1280 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*c*b*a*b*c*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_40 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1 ] Chiral map of genus 41 and type {4,8}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, Y^8, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^3*X*Y^-2*X^-1*Y*X^-1*Y^4*X^-1 ] Chiral map of genus 41 and type {4,8}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, Y^8, X^-1*Y^-4*X^2*Y^4*X^-1, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 41 and type {4,8}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, Y^8, Y^-3*X*Y^-1*X^-1*Y*X^-1*Y^-1*X*Y^-1*X ] Chiral map of genus 41 and type {4,8}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, Y^8, (Y^-1*X)^5, X^-1*Y^-4*X*Y^-1*X^-2*Y^4*X^2*Y, Y^-3*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^4*X ] Chiral map of genus 41 and type {4,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X^2*Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 41 and type {4,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, Y^8, X^-1*Y^-4*X^2*Y^4*X^-1, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 41 and type {4,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, Y*X^-1*Y^2*X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1 ] Chiral map of genus 61 and type {4,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^16 ] Chiral map of genus 61 and type {4,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-2*X^-1*Y^2*X*Y^-2*X^-2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X ] Chiral map of genus 71 and type {4,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^4*X*Y^-2*X^-1*Y^2*X^-2*Y*X^-1*Y^-1*X*Y^6 ] Chiral map of genus 71 and type {4,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^32 ] Chiral map of genus 81 and type {8,8}_10 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-2*X^3*Y*X^-2*Y^2, (X*Y^-1*X)^4 ] Chiral map of genus 81 and type {8,8}_10 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X*Y^-1*X^3*Y^-3*X ] Chiral map of genus 81 and type {8,8}_10 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-3*X^3*Y^-2*X^2 ] Chiral map of genus 81 and type {8,8}_20 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 81 and type {8,8}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, Y^3*X^3*Y^3*X^-1, X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 81 and type {8,8}_40 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-2*X^-2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 81 and type {8,8}_40 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 81 and type {8,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^2*Y^-2*X^-1*Y*X^-2*Y^-1*X*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 81 and type {8,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, Y^3*X^3*Y^3*X^-1, X^-1*Y*X^2*Y^-2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 81 and type {8,8}_40 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 101 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-2*X*Y^3 ] Chiral map of genus 101 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^16 ] Chiral map of genus 101 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-3*X^4*Y^-5, Y^-1*X*Y^-1*X*Y^-2*X^-2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 101 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-3*X^4*Y^-5, X^2*Y^-2*X^-1*Y*X^-2*Y^-1*X*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 101 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y*X*Y^-3*X*Y^4, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 101 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y*X*Y^-3*X*Y^4, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y ] Chiral map of genus 101 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-2*Y^2*X*Y^-1*X^2*Y^-2*X*Y^3 ] Chiral map of genus 101 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^16 ] Chiral map of genus 111 and type {8,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^2*X*Y^-5*X^-1*Y^2*X^-1*Y^-5*X*Y^2 ] Chiral map of genus 111 and type {8,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^2*X*Y^-5*X^-1*Y^2*X^-1*Y^-5*X*Y^2 ] Chiral map of genus 121 and type {16,16}_20 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^2, X^16 ] Chiral map of genus 121 and type {16,16}_20 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y^-1*X^4*Y^-3, Y^-1*X^2*Y^-1*X^3*Y*X^-1*Y^-1*X^2, X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 121 and type {16,16}_40 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 121 and type {16,16}_40 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y^-1 ] Chiral map of genus 121 and type {16,16}_40 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^-2*X^-8*Y^-6 ] Chiral map of genus 121 and type {16,16}_40 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-2*Y*X^3*Y*X^-1*Y^2*X^-1*Y, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-2*X*Y^3 ] Chiral map of genus 121 and type {16,16}_40 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^2*Y^-1*X*Y^-2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 121 and type {16,16}_40 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y^-1*X^4*Y^-3, Y^-1*X^2*Y^-1*X^3*Y*X^-1*Y^-1*X^2, X^2*Y^-1*X*Y^-2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 121 and type {16,16}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y, X^16 ] Chiral map of genus 121 and type {16,16}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 137 and type {16,80}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y^10*X^2*Y*X^-2*Y^9 ] Chiral map of genus 141 and type {32,32}_20 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^2, Y^-1*X*Y^-1*X^6*Y^-1*X*Y^-2*X*Y^-1*X ] Chiral map of genus 141 and type {32,32}_20 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^3*X^-2*Y*X^-1*Y^3*X^-1*Y^2*X^-10*Y^9 ] Chiral map of genus 141 and type {32,32}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y, X^12*Y^-4 ] Chiral map of genus 151 and type {64,64}_10 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y^36*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-9*Y*X^-3*Y^5 ] Chiral map of genus 151 and type {64,64}_20 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^-1*X*Y^-1*X*Y^-6*X^10*Y^-2*X*Y^-3*X*Y^-1*X^4 ] Chiral map of genus 153 and type {80,80}_8 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3, Y^3*X^-3*Y^2*X^-5*Y^3*X^-4 ] .......................... Rotary maps with 321 edges .......................... Orientable map of genus 0 and type {2,321}_642 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1284 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^321 ] Non-orientable map of genus 213 and type {6,214}_321 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1284 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 322 edges .......................... Orientable map of genus 0 and type {2,322}_322 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1288 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^322 ] Non-orientable map of genus 1 and type {2,644}_644 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1288 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 132 and type {14,46}_322 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1288 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, (b*c)^46 ] .......................... Rotary maps with 323 edges .......................... Orientable map of genus 0 and type {2,323}_646 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1292 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^323 ] Non-orientable map of genus 289 and type {34,38}_323 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1292 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b ] .......................... Rotary maps with 324 edges .......................... Orientable map of genus 0 and type {2,324}_324 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^324 ] Non-orientable map of genus 1 and type {2,648}_648 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 1 and type {3,6}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^6, b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c ] Orientable map of genus 28 and type {3,12}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^12, c*b*c*a*b*c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b, c*a*b*c*a*b*c*a*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 28 and type {3,12}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, c*b*c*a*b*c*b*c*b*c*a*b*a^2*c*b*a*c*b*c*b*c*b*a*c*b, (b*c)^12 ] Orientable map of genus 1 and type {4,4}_18 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^4, a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Non-orientable map of genus 56 and type {4,6}_6 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b, a*b*c*b*a*b*c*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b*c*b ] Non-orientable map of genus 56 and type {4,6}_9 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, (a*b*c*b)^4, c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b ] Orientable map of genus 28 and type {4,6}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, (a*b*c*b)^6, a*b*c*a*b*c*b*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*b*c*b*c ] Orientable map of genus 46 and type {4,9}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (c*b)^9, b*c*a*b*c*b*c*a*b*c*a*b*a*b*c*b*c*b*a*c*b*c*b*a, a*b*c*a*b*c*a*b*c*b*a*b*c*b*c*b*c*b*a*b*c*b*a*c*b*c ] Non-orientable map of genus 128 and type {4,18}_18 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, a*b*c*b*a*b*c*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b*c*b ] Orientable map of genus 64 and type {4,18}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, (a*b*c*b)^6, (b*c)^18 ] Orientable map of genus 78 and type {4,81}_162 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (c*b)^81 ] Non-orientable map of genus 160 and type {4,162}_162 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^162 ] Orientable map of genus 80 and type {4,162}_324 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^162 ] Orientable map of genus 55 and type {6,6}_12 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (c*b*a*b)^3, (b*c)^6, c*b*c*a*b*a*b*c*a*b*c*b*c*a*b*a*b*a*c*b*c*b*a*c*b*a*b*a*c*b ] Non-orientable map of genus 137 and type {6,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^8, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b, a*b*c*b*a*b*a*b*c*a*b*a*b*a*b*c*b*a*b*a*b*c*b*a*b ] Orientable map of genus 73 and type {6,9}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*c*b*a*c*b*c*b*c*b, b*a*b*c*b*c*b*a*b*a*b*c*b*c*b*a*b*c, a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c*a*b*c ] Orientable map of genus 73 and type {6,9}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, (c*b)^9, a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 73 and type {6,9}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (c*b)^9, b*c*a*b*c*b*c*a*b*c*a*b*c*b*a*c*b*c*b*a*c*b*a*c*b*c ] Orientable map of genus 73 and type {6,9}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, (c*b)^9, a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 73 and type {6,9}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, (c*b)^9, a*b*c*a*b*c*a*b*c*a*b*a*b*c*b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 82 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, (b*c)^12 ] Orientable map of genus 82 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, c*a*b*c*b*c*a*b*a*b*a*c*b*c*b*a*c*b*a*b, (b*c)^12 ] Orientable map of genus 82 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, (b*c)^12 ] Orientable map of genus 82 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, (a*b*c*b*a*b*c*b*a*b)^2, (b*c)^12 ] Orientable map of genus 82 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b, (a*b*c*b*a*b)^4 ] Orientable map of genus 82 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, b*c*a*b*a*b*c*b*a*b*a*c*b*a*c*b*c*b*a*c ] Orientable map of genus 82 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, b*c*a*b*a*b*c*b*a*b*a*b*c*b*c*b*a*c*b*c*b*a ] Non-orientable map of genus 164 and type {6,12}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, c*b*c*b*c*a*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*a*c*b, (b*c)^12, a*b*c*a*b*c*a*b*c*a*b*c*b*a*b*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 82 and type {6,12}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, (b*c)^12, a*b*c*a*b*a*b*c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b*a*c*b ] Orientable map of genus 82 and type {6,12}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, (a*b*c*b)^6, (b*c)^12 ] Orientable map of genus 82 and type {6,12}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, b*c*b*c*b*c*b*a*b*a*c*b*c*b*a*c*b*a, (b*c)^12 ] Orientable map of genus 82 and type {6,12}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*b*a*c*b*c*b*a*b*a*b, c*a*b*a*b*c*b*a*b*a*c*b*c*b*c*b*c*b, b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c ] Orientable map of genus 97 and type {6,27}_108 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, (c*b)^27 ] Orientable map of genus 100 and type {6,36}_36 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^36 ] Orientable map of genus 100 and type {6,36}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, (a*b*c*b)^6, c*b*c*a*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b ] Orientable map of genus 100 and type {6,36}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, c*b*a*b*c*b*a*b*a*b*c*b*a*b*c*b, (b*c)^36 ] Orientable map of genus 100 and type {6,36}_36 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (b*c)^36 ] Orientable map of genus 100 and type {6,36}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, (a*b*c*b*a*b*c*b*a*b)^2, c*a*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 106 and type {6,108}_108 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^108 ] Orientable map of genus 100 and type {9,12}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b)^2, (b*a)^9, c*b*a*b*c*b*c*a*b*a*c*b*c*b*a*b*c*b, (b*c)^12 ] Orientable map of genus 100 and type {9,12}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b)^2, (b*a)^9, c*a*b*c*a*b*c*a*b*a*c*b*c*b*a*b*c*b, (b*c)^12 ] Orientable map of genus 100 and type {9,12}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^4, (b*a)^9, (b*c*b*a*b*c)^3 ] Orientable map of genus 109 and type {9,18}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^9, c*a*b*c*b*a*b*a*b*a*c*b*c*b*a*b*a*b, c*a*b*a*b*c*b*a*b*a*c*b*c*b*c*b*c*b, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b ] Orientable map of genus 109 and type {12,12}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*c*b*a*c*b*c*b*c*b, c*a*b*a*b*a*b*a*b*a*c*b*c*b*a*b*c*b, (a*b)^12, a*b*c*a*b*a*b*c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b*a*c*b ] Orientable map of genus 109 and type {12,12}_18 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*b*a*b*c*b*a*c*b*a*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, c*a*b*a*b*a*b*a*b*a*b*a*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 236 and type {12,18}_18 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^4, b*c*a*b*c*a*b*a*b*a*c*b*c*b*c*b*a*b*c, (a*b*c*b*c*b*c*b*a*b)^2 ] Orientable map of genus 118 and type {12,18}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*b*a*b*c*b*a*c*b*a*b, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, (a*b*c*b*c*b*c*b*a*b)^2, (a*b)^12 ] Orientable map of genus 118 and type {12,18}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*a*b*c*b*a*b*a*b*c*b*a*b*c*b, c*a*b*c*b*a*b*a*b*a*b*c*b*a*c*b*a*b, (a*b)^12, (b*c)^18 ] Orientable map of genus 118 and type {12,18}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^12, (a*b*c*b*a*b*a*b*a*b*a*b)^2, (b*c)^18 ] Orientable map of genus 118 and type {12,18}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*b*a*c*b*c*b*a*b*c*b, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, b*c*b*a*b*a*b*c*b*a*b*a*b*c*b*a*c*b*c*b*a*c ] Orientable map of genus 118 and type {12,18}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*b*a*c*b*c*b*a*b*c*b, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, (a*b)^12, (b*c)^18 ] Orientable map of genus 124 and type {12,27}_54 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c, (c*b)^27 ] Orientable map of genus 130 and type {12,54}_108 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^54 ] Orientable map of genus 130 and type {12,54}_108 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^12, (b*c)^54 ] Orientable map of genus 136 and type {18,36}_36 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, (b*c)^36 ] Orientable map of genus 136 and type {18,36}_36 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1296 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*c*b*c*b, (a*b)^18 ] Chiral map of genus 55 and type {6,6}_12 isomorphic to its dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, X^6, Y^6, Y*X*Y^-1*X^2*Y*X^-1*Y, Y^-1*X^-3*Y^-3*X^3*Y^3*X^3*Y^-2 ] Chiral map of genus 97 and type {6,27}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-2*X^-1*Y*X*Y^-1*X^-1*Y*X^-3*Y^-1*X^2*Y^-3 ] Chiral map of genus 100 and type {6,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, X^6, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^2*X*Y^-4*X^-2*Y^-2*X*Y^4 ] Chiral map of genus 106 and type {6,108}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^18*X*Y^-1*X*Y^5*X^-1*Y^-1*X*Y^11 ] Chiral map of genus 82 and type {8,8}_18 isomorphic to its dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y^-1*X^-1*Y*X*Y^-1*X^-3*Y^-1*X^3*Y^-1*X ] Chiral map of genus 109 and type {9,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, X^9, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^-2*X*Y^-2*X^-2*Y^-1*X*Y^-2*X*Y^-1 ] Chiral map of genus 118 and type {9,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, X^9, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-1*X*Y^-4 ] Chiral map of genus 118 and type {12,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^-1*Y*X*Y^-1*X^2*Y^-4, X^12 ] Chiral map of genus 124 and type {12,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, X^12, X*Y^-4*X^-5*Y*X^-1*Y^-4*X ] Chiral map of genus 127 and type {12,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, (X*Y^-1*X^4)^2, X*Y^-2*X^4*Y^-4*X ] Chiral map of genus 130 and type {12,54}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^9*X^2*Y*X^-1*Y^-5*X*Y^3 ] Chiral map of genus 133 and type {12,108}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^9*X^2*Y^4*X^-1*Y^-2*X*Y^3 ] Chiral map of genus 136 and type {18,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, X*Y^-1*X^-8*Y^-1*X^3*Y^-2, X^7*Y^-1*X^3*Y^-1*X^3*Y^-1*X*Y^-1 ] Chiral map of genus 136 and type {18,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^4*X*Y^-1*X^-2*Y^-5*X*Y^2, (X^4*Y^-2*X^3)^2 ] Chiral map of genus 136 and type {24,24}_6 isomorphic to its dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y^-2*X^5*Y^-1*X^2*Y^-2, Y^-1*X^-1*Y*X^4*Y*X^-3*Y^-1 ] Chiral map of genus 145 and type {36,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, Y*X*Y^-1*X^3*Y^2*X^-2, X^-2*Y*X^-10*Y*X^-1*Y^2*X^-1*Y*X^-2*Y*X^-8*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 154 and type {72,72}_6 isomorphic to its dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^5*Y*X^-1*Y^2, Y^-1*X^13*Y^-5*X^3*Y^-1*X^8*Y^-2*X^3 ] .......................... Rotary maps with 325 edges .......................... Orientable map of genus 0 and type {2,325}_650 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1300 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^325 ] Orientable map of genus 126 and type {10,65}_130 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1300 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^10, (c*b)^65 ] Non-orientable map of genus 289 and type {26,50}_325 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1300 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] .......................... Rotary maps with 326 edges .......................... Orientable map of genus 0 and type {2,326}_326 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1304 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^326 ] Non-orientable map of genus 1 and type {2,652}_652 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1304 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 327 edges .......................... Orientable map of genus 0 and type {2,327}_654 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1308 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^327 ] Non-orientable map of genus 217 and type {6,218}_327 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1308 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 1 and type {3,6}_218 not isomorphic to its dual or mirror-dual Automorphism group of order 654 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^2*X^-1*Y^-2 ] .......................... Rotary maps with 328 edges .......................... Orientable map of genus 0 and type {2,328}_328 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1312 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^328 ] Non-orientable map of genus 1 and type {2,656}_656 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1312 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 81 and type {4,164}_164 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1312 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^164 ] Orientable map of genus 82 and type {4,328}_328 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1312 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 120 and type {8,82}_328 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1312 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^82 ] Orientable map of genus 122 and type {8,164}_328 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1312 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_164 isomorphic to its dual Automorphism group of order 656 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] Chiral map of genus 83 and type {8,8}_82 isomorphic to its dual Automorphism group of order 656 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 83 and type {8,8}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 656 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y^-2*X*Y^-1*X^-2*Y^4*X*Y^-1 ] Chiral map of genus 83 and type {8,8}_164 isomorphic to its dual Automorphism group of order 656 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X ] .......................... Rotary maps with 329 edges .......................... Orientable map of genus 0 and type {2,329}_658 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1316 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^329 ] Non-orientable map of genus 277 and type {14,94}_329 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1316 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 330 edges .......................... Orientable map of genus 0 and type {2,330}_330 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^330 ] Non-orientable map of genus 1 and type {2,660}_660 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 46 and type {3,10}_11 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^10, b*c*b*c*a*b*c*a*b*c*b*c*b*c*b*a*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c, a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*a*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Non-orientable map of genus 46 and type {3,10}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^10, b*c*b*c*a*b*c*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*a*c*b*c, c*b*c*a*b*c*a*b*c*a*b*c*b*c*a*b*a*c*b*a*c*b*c*b*a*c*b*a*c*b*a*c*b ] Non-orientable map of genus 57 and type {3,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b, (b*c)^12, b*c*b*c*a*b*c*b*c*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*c*b*a*c*b*c ] Non-orientable map of genus 35 and type {4,5}_11 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (c*b)^5, a*b*c*b*a*b*c*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b*c*b, (c*b*a*b*c*b*c*b*a*b)^3 ] Non-orientable map of genus 35 and type {4,5}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (c*b)^5, a*b*c*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b*c*b ] Non-orientable map of genus 57 and type {4,6}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, a*b*c*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b*c*b, b*c*a*b*c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b*c ] Non-orientable map of genus 101 and type {4,10}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (c*b*a*b)^3, (b*c)^10, c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b ] Non-orientable map of genus 163 and type {4,165}_165 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^165 ] Orientable map of genus 34 and type {5,5}_10 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (c*b)^5, a*b*c*a*b*c*b*a*b*c*b*c*a*b*a*c*b*a*b*c*b*a*b*c ] Orientable map of genus 34 and type {5,5}_12 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (c*b)^5, b*c*a*b*a*b*c*b*c*b*a*b*a*b*c*b*c*b*a*b*a*c*b*c ] Orientable map of genus 45 and type {5,6}_6 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (b*c)^6, c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b, (c*b*a*b)^5 ] Non-orientable map of genus 90 and type {5,6}_6 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (b*c)^6, c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b, c*b*c*a*b*a*b*c*b*a*b*a*c*b*c*b*a*b*a*c*b*a*b ] Orientable map of genus 45 and type {5,6}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (b*c)^6, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, b*c*b*a*b*c*b*a*b*c*b*a*c*b*a*c*b*a*c*b*a*c ] Non-orientable map of genus 134 and type {5,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, b*c*b*c*b*c*b*a*b*a*c*b*a*c*b*a*c*b*a ] Non-orientable map of genus 134 and type {5,10}_11 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b, (b*c)^10, b*c*b*c*a*b*c*b*a*b*a*c*b*c*b*c*b*a*c*b*a ] Non-orientable map of genus 134 and type {5,10}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (a*b*c*b)^4, a*b*a*b*c*a*b*a*b*a*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 112 and type {6,6}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, (b*a*b*a*b*c)^3, b*c*a*b*c*b*c*b*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c ] Non-orientable map of genus 112 and type {6,6}_10 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, (c*b*a*b)^5, b*c*a*b*c*b*a*b*c*b*a*b*a*b*a*c*b*a*b*c*b*a*c ] Orientable map of genus 56 and type {6,6}_10 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, (b*a*b*a*b*c)^3, (b*c*b*a*b*c)^3, (c*b*a*b)^5 ] Non-orientable map of genus 156 and type {6,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*b*a*b*a*b*a*c*b*a*b*a*b, (b*c)^10, b*c*b*c*a*b*c*b*a*b*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c ] Orientable map of genus 81 and type {6,11}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (c*b*a*b)^3, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b, (c*b)^11 ] Non-orientable map of genus 210 and type {6,55}_55 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*c*b*a*b*a*c*b*a*c*b*a*c*b*a, c*a*b*a*b*c*b*a*b*a*b*a*c*b*a*b*c*b*a*b*a*b, c*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b ] Orientable map of genus 108 and type {6,110}_330 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^110 ] Non-orientable map of genus 200 and type {10,10}_10 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, a*b*c*a*b*a*b*a*c*b*a*b*a*c*b, (a*b)^10, (c*b*a*b)^5, (b*c)^10, a*b*c*b*c*b*c*b*c*b*a*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 200 and type {10,10}_10 invariant under all six Wilson transforms Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*b*a*c*b*c*b*c*b*c*b, c*a*b*c*b*a*b*a*b*a*b*c*b*a*c*b*a*c*b ] Non-orientable map of genus 211 and type {10,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*b*a*b*a*b*a*b*c*b*c*b*a*c*b, c*b*c*a*b*c*b*a*b*a*c*b*c*b*a*c*b*a*b ] Non-orientable map of genus 246 and type {10,33}_55 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^10, b*c*a*b*c*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*c*b*a, c*a*b*c*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b ] Orientable map of genus 128 and type {10,66}_330 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^66 ] Orientable map of genus 106 and type {11,11}_12 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*c*b*a*b*a*c*b*c*b*a*b*c*b, c*b*a*b*c*b*a*b*a*b*a*b*c*b*a*b*c*b*c*b, (b*a)^11, b*a*b*a*b*c*b*a*b*a*b*a*c*b*a*c*b*a*c*b*a*c ] Orientable map of genus 140 and type {22,30}_330 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^22, (b*c)^30 ] Orientable map of genus 150 and type {30,66}_110 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1320 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*c*b*a*b*a*c, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 122 and type {10,30}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 660 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2 ] Chiral map of genus 122 and type {10,30}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 660 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1 ] Chiral map of genus 122 and type {10,30}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 660 with defining relations: [ (X*Y)^2, X^10, Y*X*Y^-1*X^3*Y^4 ] Chiral map of genus 122 and type {10,30}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 660 with defining relations: [ (X*Y)^2, X^10, X*Y^-2*X^3*Y^-1*X^2*Y^-1, (X*Y^-3*X)^2 ] Chiral map of genus 144 and type {30,30}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 660 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, Y^-1*X^5*Y^-1*X^2*Y^-1*X^2*Y^-1*X*Y^-1*X^8*Y^-2*X^2*Y^-1*X^2 ] Chiral map of genus 144 and type {30,30}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 660 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^-1*X^8*Y^-1*X*Y^-2*X^2*Y^-1*X*Y^-1*X^8*Y^-4 ] Chiral map of genus 161 and type {132,132}_10 isomorphic to its dual Automorphism group of order 660 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^-1*Y^35*X^-3*Y^2*X^-1*Y*X^-1*Y*X^-10*Y*X^-1*Y^3*X^-1*Y^3*X^-1 ] .......................... Rotary maps with 331 edges .......................... Orientable map of genus 0 and type {2,331}_662 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1324 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^331 ] .......................... Rotary maps with 332 edges .......................... Orientable map of genus 0 and type {2,332}_332 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1328 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^332 ] Non-orientable map of genus 1 and type {2,664}_664 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1328 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 82 and type {4,166}_332 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1328 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^166 ] .......................... Rotary maps with 333 edges .......................... Orientable map of genus 0 and type {2,333}_666 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1332 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^333 ] Orientable map of genus 109 and type {6,111}_222 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1332 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (c*b)^111 ] Non-orientable map of genus 289 and type {18,74}_333 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1332 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 1 and type {3,6}_222 not isomorphic to its dual or mirror-dual Automorphism group of order 666 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^3*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 112 and type {9,18}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 666 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^3*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y ] Chiral map of genus 112 and type {9,18}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 666 with defining relations: [ (X*Y)^2, X^9, (Y*X^-1*Y)^3, Y*X^2*Y^-1*X^3*Y^4*X^-1, Y*X*Y^-2*X^3*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 112 and type {9,18}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 666 with defining relations: [ (X*Y)^2, X^9, (Y*X^-1*Y)^3, Y^3*X^3*Y^-1*X*Y^2 ] Chiral map of genus 112 and type {9,18}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 666 with defining relations: [ (X*Y)^2, X^9, (Y*X^-1*Y)^3, Y*X*Y^-1*X^4*Y*X^-1*Y*X^-2 ] .......................... Rotary maps with 334 edges .......................... Orientable map of genus 0 and type {2,334}_334 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1336 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^334 ] Non-orientable map of genus 1 and type {2,668}_668 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1336 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 335 edges .......................... Orientable map of genus 0 and type {2,335}_670 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1340 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^335 ] Non-orientable map of genus 265 and type {10,134}_335 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1340 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 336 edges .......................... Orientable map of genus 0 and type {2,336}_336 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^336 ] Non-orientable map of genus 1 and type {2,672}_672 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 36 and type {3,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 36 and type {3,16}_28 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, c*b*c*a*b*c*b*c*b*c*a*b*c*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 29 and type {4,6}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b, b*c*a*b*c*b*c*a*b*c*a*b*c*b*a*c*b*c*b*a*c*b*a*c*b*c ] Non-orientable map of genus 86 and type {4,8}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^8, b*c*a*b*c*b*c*b*a*b*c*b*a*b*c*b*c*b*a*c*b*a*c ] Non-orientable map of genus 86 and type {4,8}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^8, c*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, b*c*a*b*c*b*c*b*c*b*a*b*c*b*c*b*c*b*a*b*c*b*c*b*c ] Orientable map of genus 43 and type {4,8}_14 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^8, (a*b*c*b*c*b*a*b*c*b)^2, b*c*a*b*c*b*c*a*b*c*a*b*c*b*a*c*b*c*b*a*c*b*a*c*b*c ] Non-orientable map of genus 86 and type {4,8}_28 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, a*b*c*b*a*b*a*c*b*a*b*c*b, (b*c)^8 ] Non-orientable map of genus 86 and type {4,8}_28 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^8, (a*b*c*b*c*b*a*b*c*b)^2, b*c*a*b*c*a*b*c*b*c*b*c*b*a*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c ] Non-orientable map of genus 154 and type {4,42}_42 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, (b*c)^42 ] Orientable map of genus 77 and type {4,42}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, (b*c)^42 ] Orientable map of genus 81 and type {4,84}_84 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^84 ] Orientable map of genus 81 and type {4,84}_84 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (b*c)^84 ] Orientable map of genus 83 and type {4,168}_168 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 83 and type {4,168}_168 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^168 ] Non-orientable map of genus 166 and type {4,168}_168 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 166 and type {4,168}_168 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^168 ] Orientable map of genus 84 and type {4,336}_336 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 57 and type {6,6}_8 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, (a*b*c*b)^4, a*b*c*b*c*a*b*c*b*a*b*a*b*c*b*a*c*b*c*b*a*b, c*a*b*a*b*c*b*c*b*a*b*a*c*b*a*b*c*b*c*b*a*b ] Orientable map of genus 65 and type {6,7}_28 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (c*b)^7, (a*b*c*b*a*b*c*b*a*b)^2, b*c*a*b*c*a*b*c*b*a*b*a*c*b*c*b*a*c*b*a*b*c ] Orientable map of genus 71 and type {6,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (b*c)^8, c*a*b*c*a*b*c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b ] Non-orientable map of genus 142 and type {6,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^8, c*a*b*c*b*a*b*a*b*a*c*b*c*b*a*b*a*b, c*a*b*c*a*b*c*a*b*c*b*a*b*c*b*c*b*a*b*c*b*a*c*b, c*b*c*a*b*c*a*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b*c*b ] Non-orientable map of genus 142 and type {6,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^8, c*a*b*c*b*a*b*a*b*a*c*b*c*b*a*b*a*b, c*a*b*c*a*b*c*a*b*c*b*a*b*c*b*c*b*a*b*c*b*a*c*b, b*c*a*b*c*b*c*b*c*b*a*b*c*b*c*b*c*b*a*b*c*b*c*b*c ] Non-orientable map of genus 142 and type {6,8}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, (b*c)^8, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b ] Non-orientable map of genus 142 and type {6,8}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^8, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, a*b*c*a*b*c*a*b*a*b*a*c*b*c*b*a*c*b*a*b*c, c*a*b*c*b*c*b*c*b*a*b*a*c*b*c*b*a*b*c*b*a*c*b ] Orientable map of genus 71 and type {6,8}_14 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (b*c)^8, b*c*b*c*a*b*c*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 71 and type {6,8}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, (b*c)^8, (b*a*b*a*b*c)^3 ] Orientable map of genus 71 and type {6,8}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, (b*c)^8, c*b*a*b*a*b*c*b*a*b*a*c*b*c*b*a*c*b*a*b ] Orientable map of genus 89 and type {6,14}_14 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*a*b)^2, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b, a*b*c*a*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c ] Orientable map of genus 89 and type {6,14}_28 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b*c*b*a*b)^2, a*b*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*c*b*c, b*c*b*a*b*c*b*a*b*c*b*a*c*b*a*c*b*a*c*b*a*c ] Orientable map of genus 92 and type {6,16}_16 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, b*c*b*c*b*c*a*b*a*b*a*c*b*c*b*c*b*c*b*c, c*a*b*c*a*b*c*a*b*c*b*a*b*c*b*a*c*b*a*c*b*a*c*b ] Orientable map of genus 92 and type {6,16}_28 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, b*c*b*c*b*c*a*b*a*b*a*c*b*c*b*c*b*c*b*c, c*b*c*a*b*c*b*c*b*c*a*b*c*b*a*c*b*a*b*c*b*c*b*c*b*a*c*b*c*b ] Orientable map of genus 97 and type {6,21}_56 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, b*c*a*b*c*b*a*b*a*b*c*b*a*b*a*b*c*b*a*b*a*b*c*b*a*c*b*c ] Non-orientable map of genus 202 and type {6,28}_28 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*a*b)^2, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b, b*c*b*c*b*c*b*a*b*c*b*a*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c ] Non-orientable map of genus 202 and type {6,28}_28 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*b*a*b*a*b*a*c*b*a*b*a*b, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b ] Orientable map of genus 101 and type {6,28}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, (a*b*c*b)^4, (b*c)^28 ] Orientable map of genus 105 and type {6,42}_56 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, c*a*b*a*b*c*b*a*b*a*b*a*c*b*a*b*c*b*a*b*a*b, c*b*c*b*c*b*c*a*b*c*a*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*a*c*b*c*b*a*c*b ] Orientable map of genus 107 and type {6,56}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, c*a*b*c*a*b*c*b*a*b*a*c*b*a*c*b*c*b*a*b, b*c*a*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 110 and type {6,112}_336 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^112 ] Orientable map of genus 79 and type {7,8}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^7, (a*b*c*b*c*b*c*b)^2, c*a*b*c*b*a*b*c*b*a*b*a*b*c*b*a*b*c*b*a*c*b ] Orientable map of genus 93 and type {7,12}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^7, c*a*b*c*b*c*b*a*c*b*c*b*c*b, b*a*b*c*b*c*a*b*a*b*a*b*a*c*b*c*b*a*b*c*b*a*b*c, a*b*c*a*b*a*b*c*b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*c ] Orientable map of genus 85 and type {8,8}_8 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (b*c)^8, b*c*b*c*b*a*b*a*b*a*b*a*c*b*c*b*a*b*a*c*b*a, c*a*b*c*b*c*b*a*b*a*b*a*c*b*a*b*a*b*c*b*c*b, c*a*b*c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*c*b*c*b ] Orientable map of genus 85 and type {8,8}_8 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (c*b*a*b)^3, (a*b)^8, (b*c)^8, c*a*b*c*b*c*b*a*b*a*b*a*c*b*a*b*a*b*c*b*c*b ] Orientable map of genus 85 and type {8,8}_8 invariant under all six Wilson transforms Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (b*c)^8, (a*b*c*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b*a*b)^2 ] Non-orientable map of genus 198 and type {8,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*c*b*a*b*a*b)^2, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b, a*b*a*b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*c*b*a*c*b ] Non-orientable map of genus 198 and type {8,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, c*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b, b*c*a*b*c*a*b*c*b*c*a*b*a*b*c*b*c*b*a*b*c*b*c ] Non-orientable map of genus 198 and type {8,12}_28 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, b*c*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*c*b*a*c, (b*c)^12 ] Non-orientable map of genus 198 and type {8,12}_28 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, c*b*a*b*a*b*c*b*a*b*a*b*c*b*a*b*a*c*b*a*b ] Orientable map of genus 103 and type {8,14}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*c*b*c, c*a*b*c*b*a*b*c*b*a*b*a*c*b*c*b*a*b*c*b*a*b ] Orientable map of genus 106 and type {8,16}_28 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*a*b*c*b)^2, c*b*c*b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*c*b*c*b, c*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*a*c*b*a*b*a*c*b ] Orientable map of genus 106 and type {8,16}_28 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*a*b*c*b)^2, c*b*c*b*c*a*b*a*b*a*b*a*c*b*c*b*c*b*c*b*c*b, c*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*a*b*c*b ] Orientable map of genus 111 and type {8,21}_42 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c, (c*b)^21 ] Orientable map of genus 119 and type {8,42}_42 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*a*b*a*b*a*c*b*c*b*a*b, (b*c)^42 ] Orientable map of genus 119 and type {8,42}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^42 ] Orientable map of genus 123 and type {8,84}_84 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*a*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 123 and type {8,84}_168 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^84 ] Orientable map of genus 123 and type {8,84}_168 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^8, (b*c)^84 ] Non-orientable map of genus 250 and type {8,168}_168 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 250 and type {8,168}_168 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 117 and type {12,14}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*c*b*a*b*a*b, b*c*a*b*a*b*c*b*a*b*a*c*b*c*b*c*b*c*b*c, c*a*b*c*a*b*c*a*b*c*b*a*b*c*b*c*b*a*b*c*b*a*c*b ] Orientable map of genus 129 and type {12,28}_42 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, c*a*b*c*b*a*b*a*b*a*b*c*b*a*c*b*a*b, (a*b)^12, c*a*b*c*a*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b ] Orientable map of genus 129 and type {12,28}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, (a*b)^12, (b*c)^28 ] Orientable map of genus 129 and type {12,28}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, c*a*b*c*b*a*b*a*b*a*b*c*b*a*c*b*a*b, (a*b)^12, b*c*a*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 133 and type {12,42}_56 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, c*a*b*a*b*c*b*a*b*a*b*a*b*c*b*a*b*a*c*b*a*b, c*b*c*b*c*b*c*a*b*c*a*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b ] Orientable map of genus 135 and type {12,56}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, (a*b*c*b*c*b*c*b)^2, c*b*c*b*c*a*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 135 and type {12,56}_168 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 135 and type {12,56}_168 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^56 ] Orientable map of genus 138 and type {12,112}_336 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 138 and type {14,48}_336 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, (b*c)^48 ] Orientable map of genus 140 and type {16,42}_336 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, (b*c)^42 ] Orientable map of genus 144 and type {16,84}_336 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 143 and type {24,28}_168 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^24, (b*c)^28 ] Orientable map of genus 143 and type {24,28}_168 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, a*b*c*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*c*b, (b*c)^28 ] Orientable map of genus 149 and type {24,56}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, a*b*c*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*c*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 149 and type {24,56}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^24, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] Orientable map of genus 150 and type {28,48}_336 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*b*c*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] Orientable map of genus 154 and type {42,48}_112 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b*a*b*a*b)^2, a*b*a*b*c*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 158 and type {48,84}_112 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1344 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b*a*b*a*b)^2, b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c ] Chiral map of genus 1 and type {3,6}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X*Y^-2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 57 and type {6,6}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^2*Y^3*X^-1, X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y^-1*X^2*Y ] Chiral map of genus 85 and type {6,12}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y*X^-2*Y^-2 ] Chiral map of genus 85 and type {6,12}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^3*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 85 and type {6,12}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^6, Y*X*Y^-2*X*Y^3, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X^2*Y, X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^-3*Y^-1*X^2*Y*X^-2*Y ] Chiral map of genus 85 and type {6,12}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^2, (X*Y^-5)^2, Y*X*Y^-2*X^-1*Y^2*X*Y^-1*X*Y^3*X^-1*Y^2*X^-1*Y ] Chiral map of genus 106 and type {6,48}_112 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^2*Y^-1*X^2*Y^-1*X*Y^-1*X^3*Y^-1*X^2*Y^2, Y*X*Y^-1*X^-1*Y^6*X^-2*Y*X^-2*Y^7 ] Chiral map of genus 106 and type {6,48}_112 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^7*X^-2*Y*X^2*Y*X^-2*Y^7 ] Chiral map of genus 113 and type {12,12}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-2*Y, X^12, Y^-1*X^6*Y^-1*X*Y^-2*X ] Chiral map of genus 113 and type {12,12}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^12, X^-1*Y*X^-1*Y^-2*X^2*Y^-1*X^-3*Y*X^-2*Y^-1*X^2*Y^-2*X^-1 ] Chiral map of genus 113 and type {12,12}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X^12, Y^-1*X^6*Y^-5, X^-1*Y^-1*X*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y*X^-1*Y*X^-2 ] Chiral map of genus 127 and type {12,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^4 ] Chiral map of genus 127 and type {12,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-1*X*Y^-2*X, Y^-2*X^5*Y^-3*X*Y^-1, X^2*Y^-1*X^4*Y^-2*X^2*Y^-1 ] Chiral map of genus 127 and type {12,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-1*X^4*Y^-2*X*Y^-2, Y^-2*X^2*Y^-1*X^2*Y^-5 ] Chiral map of genus 127 and type {12,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^12, Y^-1*X*Y^-1*X^4*Y^-2*X*Y^-2 ] Chiral map of genus 134 and type {12,48}_112 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y*X*Y^-1*X^-1*Y*X^3*Y^-4*X*Y ] Chiral map of genus 134 and type {12,48}_112 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-1*X^4*Y^-2*X*Y^-2, Y^2*X*Y^-2*X^2*Y^-3*X*Y ] Chiral map of genus 137 and type {14,42}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y^3*X^3*Y^-1*X*Y^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, X^14 ] Chiral map of genus 137 and type {21,21}_4 isomorphic to its mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y^2*X^-3, X^2*Y^-2*X*Y^-2*X*Y^-2*X^8*Y^-1*X*Y^-1 ] Chiral map of genus 141 and type {24,24}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y*X^-2*Y^4*X^-2*Y*X^-7*Y^2*X^-5 ] Chiral map of genus 141 and type {24,24}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-2*Y, X^7*Y^-2*X*Y^-2 ] Chiral map of genus 153 and type {42,42}_4 isomorphic to its mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X^-4*Y^23*X^-2*Y*X^-9*Y*X^-1*Y ] Chiral map of genus 155 and type {48,48}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^3*Y^-15*X^3*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^8*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 155 and type {48,48}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^2*X^-3*Y*X^-1*Y^2*X^-8*Y^2*X^-4*Y ] Chiral map of genus 161 and type {84,84}_4 isomorphic to its mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X^-4*Y^23*X^-2*Y*X^-8*Y*X^-3 ] Chiral map of genus 161 and type {84,84}_4 isomorphic to its mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-1*Y, X^-68*Y^2*X^-12*Y^2 ] .......................... Rotary maps with 337 edges .......................... Orientable map of genus 0 and type {2,337}_674 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1348 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^337 ] .......................... Rotary maps with 338 edges .......................... Orientable map of genus 0 and type {2,338}_338 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1352 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^338 ] Non-orientable map of genus 1 and type {2,676}_676 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1352 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 1 and type {4,4}_26 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1352 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^4, (c*b*a*b)^13 ] Orientable map of genus 144 and type {26,26}_26 plus image(s) under Wilson transforms [ D, Opp ] Automorphism group of order 1352 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, a*b*c*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b, (b*c)^26 ] Chiral map of genus 1 and type {4,4}_338 isomorphic to its dual Automorphism group of order 676 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1 ] Chiral map of genus 157 and type {52,52}_26 isomorphic to its dual Automorphism group of order 676 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X^3*Y^-3*X*Y^-1*X^10*Y^-6*X*Y^-1 ] .......................... Rotary maps with 339 edges .......................... Orientable map of genus 0 and type {2,339}_678 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1356 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^339 ] Non-orientable map of genus 225 and type {6,226}_339 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1356 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 340 edges .......................... Orientable map of genus 0 and type {2,340}_340 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1360 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^340 ] Non-orientable map of genus 1 and type {2,680}_680 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1360 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 84 and type {4,170}_340 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1360 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^170 ] Orientable map of genus 132 and type {10,68}_340 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1360 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^68 ] Orientable map of genus 144 and type {20,34}_340 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1360 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^20, (b*c)^34 ] Orientable map of genus 149 and type {20,68}_170 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1360 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^20, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_170 isomorphic to its dual Automorphism group of order 680 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X ] Chiral map of genus 1 and type {4,4}_170 isomorphic to its dual Automorphism group of order 680 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 69 and type {4,20}_170 not isomorphic to its dual or mirror-dual Automorphism group of order 680 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-2*X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y*X^-1*Y^-1*X*Y^2*X^-1*Y^-1 ] Chiral map of genus 81 and type {4,68}_170 not isomorphic to its dual or mirror-dual Automorphism group of order 680 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^17*X*Y^-1*X*Y*X^-1*Y^-5*X*Y^10 ] Chiral map of genus 137 and type {20,20}_34 isomorphic to its dual Automorphism group of order 680 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-2*X^2*Y^2, X^-4*Y^2*X^-8*Y*X^-1*Y^3*X^-1 ] Chiral map of genus 154 and type {40,40}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 680 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y*X^6*Y^2*X^-2*Y, X^-2*Y^3*X^-2*Y*X^-7*Y^5 ] Chiral map of genus 161 and type {68,68}_10 isomorphic to its dual Automorphism group of order 680 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X^2*Y*X^-1*Y, Y^-1*X*Y^-33*X^2*Y^-5*X^3*Y^-1*X^10*Y^-1*X*Y^-1*X^2*Y^-4*X*Y^-2 ] .......................... Rotary maps with 341 edges .......................... Orientable map of genus 0 and type {2,341}_682 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1364 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^341 ] Non-orientable map of genus 301 and type {22,62}_341 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1364 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^22, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b ] .......................... Rotary maps with 342 edges .......................... Orientable map of genus 0 and type {2,342}_342 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1368 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^342 ] Non-orientable map of genus 1 and type {2,684}_684 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1368 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 169 and type {4,171}_171 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1368 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^171 ] Non-orientable map of genus 221 and type {6,76}_76 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1368 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*a*b*a*c*b*a*c*b*a, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 112 and type {6,114}_114 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1368 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 112 and type {6,114}_114 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1368 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^114 ] Orientable map of genus 144 and type {18,38}_342 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1368 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, (b*c)^38 ] Chiral map of genus 58 and type {6,6}_114 not isomorphic to its dual or mirror-dual Automorphism group of order 684 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, X^-1*Y^-3*X*Y^-1*X*Y^3*X^-1*Y, Y^-1*X^-2*Y*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X^2*Y^-1*X ] Chiral map of genus 58 and type {6,6}_114 not isomorphic to its dual or mirror-dual Automorphism group of order 684 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y^-1*X^2*Y^2*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^2 ] Chiral map of genus 134 and type {18,18}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 684 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X*Y^-1*X^-1*Y*X*Y^-1*X^-3*Y*X^-2*Y^-1*X*Y^-1*X, Y*X^-1*Y*X^-2*Y^2*X^-3*Y^2*X^-2*Y*X^-1*Y*X^-1 ] Chiral map of genus 134 and type {18,18}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 684 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, Y*X^6*Y^2*X^-1*Y*X^-1, X^-1*Y*X^-1*Y*X^-1*Y*X^-7*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 134 and type {18,18}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 684 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y^3*X^-9*Y*X^-3*Y^2 ] Chiral map of genus 134 and type {18,18}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 684 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^6*Y^3*X^-2, X^-1*Y^2*X^-1*Y*X^-5*Y*X^-2*Y*X^-3*Y ] .......................... Rotary maps with 343 edges .......................... Orientable map of genus 0 and type {2,343}_686 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1372 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^343 ] Orientable map of genus 99 and type {7,14}_14 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1372 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^7, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, c*a*b*c*b*c*a*b*a*b*a*c*b*c*b*a*c*b*a*b ] Orientable map of genus 141 and type {14,49}_98 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1372 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^14, (c*b)^49 ] Chiral map of genus 141 and type {14,49}_98 not isomorphic to its dual or mirror-dual Automorphism group of order 686 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^3*X^-3*Y^-1*X*Y^3 ] Chiral map of genus 141 and type {14,49}_98 not isomorphic to its dual or mirror-dual Automorphism group of order 686 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X*Y^-3*X^-2*Y^-4*X ] Chiral map of genus 141 and type {14,49}_98 not isomorphic to its dual or mirror-dual Automorphism group of order 686 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^2*Y^-2*X^-2*Y^-5 ] .......................... Rotary maps with 344 edges .......................... Orientable map of genus 0 and type {2,344}_344 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1376 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^344 ] Non-orientable map of genus 1 and type {2,688}_688 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1376 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 85 and type {4,172}_172 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1376 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^172 ] Orientable map of genus 86 and type {4,344}_344 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1376 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 126 and type {8,86}_344 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1376 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^86 ] Orientable map of genus 128 and type {8,172}_344 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1376 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 345 edges .......................... Orientable map of genus 0 and type {2,345}_690 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1380 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^345 ] Non-orientable map of genus 229 and type {6,230}_345 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1380 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 273 and type {10,138}_345 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1380 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 309 and type {30,46}_345 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1380 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] .......................... Rotary maps with 346 edges .......................... Orientable map of genus 0 and type {2,346}_346 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1384 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^346 ] Non-orientable map of genus 1 and type {2,692}_692 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1384 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_346 isomorphic to its dual Automorphism group of order 692 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] .......................... Rotary maps with 347 edges .......................... Orientable map of genus 0 and type {2,347}_694 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1388 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^347 ] .......................... Rotary maps with 348 edges .......................... Orientable map of genus 0 and type {2,348}_348 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1392 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^348 ] Non-orientable map of genus 1 and type {2,696}_696 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1392 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 84 and type {4,87}_174 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1392 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (c*b)^87 ] Non-orientable map of genus 172 and type {4,174}_174 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1392 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^174 ] Orientable map of genus 86 and type {4,174}_348 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1392 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^174 ] Orientable map of genus 113 and type {6,87}_116 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1392 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 114 and type {6,116}_348 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1392 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^116 ] Orientable map of genus 140 and type {12,58}_348 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1392 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^58 ] Orientable map of genus 143 and type {12,116}_174 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1392 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 59 and type {4,12}_174 not isomorphic to its dual or mirror-dual Automorphism group of order 696 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 117 and type {12,12}_58 isomorphic to its dual Automorphism group of order 696 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y^2*X^-2*Y^2*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1 ] .......................... Rotary maps with 349 edges .......................... Orientable map of genus 0 and type {2,349}_698 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1396 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^349 ] .......................... Rotary maps with 350 edges .......................... Orientable map of genus 0 and type {2,350}_350 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1400 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^350 ] Non-orientable map of genus 1 and type {2,700}_700 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1400 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 257 and type {10,28}_28 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1400 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^10, c*b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b ] Orientable map of genus 136 and type {10,70}_70 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1400 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^10, b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 136 and type {10,70}_70 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1400 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^70 ] Orientable map of genus 144 and type {14,50}_350 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1400 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, (b*c)^50 ] Chiral map of genus 151 and type {28,28}_50 isomorphic to its dual Automorphism group of order 700 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 171 and type {140,140}_10 isomorphic to its dual Automorphism group of order 700 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^-1*Y^39*X^-3*Y^2*X^-4*Y^2*X^-8*Y*X^-1*Y^3*X^-1*Y^3*X^-1 ] .......................... Rotary maps with 351 edges .......................... Orientable map of genus 0 and type {2,351}_702 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1404 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^351 ] Orientable map of genus 109 and type {6,39}_78 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1404 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c, (c*b)^39 ] Orientable map of genus 115 and type {6,117}_234 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1404 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (c*b)^117 ] Non-orientable map of genus 305 and type {18,78}_117 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1404 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 313 and type {26,54}_351 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1404 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^26, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] Chiral map of genus 1 and type {3,6}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 702 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^3*X^-1*Y ] Chiral map of genus 79 and type {6,9}_234 not isomorphic to its dual or mirror-dual Automorphism group of order 702 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, X^2*Y^-1*X*Y^-1*X^-2*Y*X^2*Y^-1*X^-3*Y^-1*X^2*Y^-1*X^2*Y^2 ] Chiral map of genus 79 and type {6,9}_234 not isomorphic to its dual or mirror-dual Automorphism group of order 702 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, X^2*Y^2*X*Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 79 and type {6,9}_234 not isomorphic to its dual or mirror-dual Automorphism group of order 702 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, Y*X^-2*Y*X^-2*Y*X^2*Y^-1*X^-3*Y^-1*X^2*Y^-1*X^2*Y*X^-1 ] Chiral map of genus 115 and type {6,117}_234 not isomorphic to its dual or mirror-dual Automorphism group of order 702 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-20*X*Y*X^-1*Y^-1*X*Y^5*X^-1*Y^-12 ] Chiral map of genus 118 and type {9,18}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 702 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y^-1*X*Y^-1*X^-1*Y*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2 ] Chiral map of genus 136 and type {13,26}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 702 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^3*Y^-1*X*Y*X^-1, Y*X*Y^-3*X^2*Y*X^-1*Y^3, X^-13 ] Chiral map of genus 136 and type {13,26}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 702 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-2*Y, Y*X^6*Y^2*X^-1*Y*X^-1, X^-13 ] Chiral map of genus 157 and type {27,54}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 702 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^2, X^2*Y^-3*X^3*Y^-1*X^9*Y^-8*X ] Chiral map of genus 169 and type {78,117}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 702 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, Y^-2*X*Y^-1*X*Y^-11*X*Y^-1*X^2*Y^-2*X^10*Y^-2*X^3*Y^-2 ] .......................... Rotary maps with 352 edges .......................... Orientable map of genus 0 and type {2,352}_352 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1408 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^352 ] Non-orientable map of genus 1 and type {2,704}_704 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1408 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 81 and type {4,44}_88 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1408 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^44 ] Orientable map of genus 85 and type {4,88}_88 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1408 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^88 ] Orientable map of genus 87 and type {4,176}_176 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1408 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 87 and type {4,176}_176 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1408 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^176 ] Orientable map of genus 88 and type {4,352}_352 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1408 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 125 and type {8,44}_44 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1408 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^44 ] Orientable map of genus 125 and type {8,44}_88 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1408 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (b*c)^44 ] Orientable map of genus 129 and type {8,88}_88 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1408 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 129 and type {8,88}_88 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1408 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^88 ] Orientable map of genus 129 and type {8,88}_88 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1408 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 129 and type {8,88}_88 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1408 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^8, (a*b*c*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 131 and type {8,176}_176 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1408 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 147 and type {16,44}_176 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1408 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, b*a*b*a*b*a*b*a*b*a*b*a*c*b*a*b*a*c, (b*c)^44 ] Orientable map of genus 147 and type {16,44}_176 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1408 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, (b*c)^44 ] Orientable map of genus 151 and type {16,88}_176 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1408 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 151 and type {16,88}_176 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1408 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, b*a*b*a*b*a*b*a*b*a*b*a*c*b*a*b*a*c, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 150 and type {22,32}_352 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1408 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^22, (b*c)^32 ] Orientable map of genus 158 and type {32,44}_352 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1408 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c ] .......................... Rotary maps with 353 edges .......................... Orientable map of genus 0 and type {2,353}_706 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1412 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^353 ] .......................... Rotary maps with 354 edges .......................... Orientable map of genus 0 and type {2,354}_354 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1416 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^354 ] Non-orientable map of genus 1 and type {2,708}_708 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1416 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 175 and type {4,177}_177 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1416 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^177 ] Orientable map of genus 116 and type {6,118}_354 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1416 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^118 ] .......................... Rotary maps with 355 edges .......................... Orientable map of genus 0 and type {2,355}_710 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1420 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^355 ] Non-orientable map of genus 281 and type {10,142}_355 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1420 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 72 and type {5,10}_142 not isomorphic to its dual or mirror-dual Automorphism group of order 710 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, (X*Y^-2*X*Y^-1)^2, Y*X*Y^-1*X*Y^-1*X^-2*Y^4*X^-1*Y ] Chiral map of genus 72 and type {5,10}_142 not isomorphic to its dual or mirror-dual Automorphism group of order 710 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, (X*Y^-2*X*Y^-1)^2, Y^-1*X*Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-4 ] .......................... Rotary maps with 356 edges .......................... Orientable map of genus 0 and type {2,356}_356 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1424 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^356 ] Non-orientable map of genus 1 and type {2,712}_712 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1424 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 88 and type {4,178}_356 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1424 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^178 ] Chiral map of genus 1 and type {4,4}_178 isomorphic to its dual Automorphism group of order 712 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 90 and type {8,8}_178 not isomorphic to its dual or mirror-dual Automorphism group of order 712 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X^3*Y^-1*X^3*Y^-3*X*Y^-1 ] .......................... Rotary maps with 357 edges .......................... Orientable map of genus 0 and type {2,357}_714 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1428 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^357 ] Non-orientable map of genus 237 and type {6,238}_357 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1428 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 301 and type {14,102}_357 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1428 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Non-orientable map of genus 321 and type {34,42}_357 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1428 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c ] Chiral map of genus 113 and type {6,51}_238 not isomorphic to its dual or mirror-dual Automorphism group of order 714 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X*Y^-1*X^-2*Y*X^2*Y^-1*X^-2*Y*X^-2*Y*X^-1*Y, Y^-7*X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y^6*X^-1*Y^-1 ] Chiral map of genus 169 and type {51,102}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 714 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, X^2*Y^-1*X^17*Y^-1*X*Y^-5*X^3*Y^-1*X^9*Y^-5*X*Y^-5 ] .......................... Rotary maps with 358 edges .......................... Orientable map of genus 0 and type {2,358}_358 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1432 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^358 ] Non-orientable map of genus 1 and type {2,716}_716 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1432 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 359 edges .......................... Orientable map of genus 0 and type {2,359}_718 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1436 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^359 ] .......................... Rotary maps with 360 edges .......................... Orientable map of genus 0 and type {2,360}_360 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^360 ] Non-orientable map of genus 1 and type {2,720}_720 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 16 and type {3,8}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^8, c*a*b*c*a*b*c*a*b*c*a*b*c*b*a*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b, c*b*c*b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*a*b*c*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 37 and type {3,15}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, b*c*a*b*c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b*c, (c*b)^15 ] Orientable map of genus 43 and type {3,20}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, c*a*b*c*a*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 19 and type {4,5}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (c*b)^5, c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b ] Non-orientable map of genus 62 and type {4,6}_8 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, a*b*c*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b*c*b, c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b, b*c*b*a*b*c*b*c*b*a*b*c*b*c*b*a*b*c*b*c*b*a*c*b*c ] Orientable map of genus 31 and type {4,6}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, c*b*a*b*c*b*c*a*b*c*a*b*c*b*a*b*c*b*a*c*b*a*c*b ] Non-orientable map of genus 92 and type {4,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^8, c*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b, c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b ] Orientable map of genus 46 and type {4,8}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (b*c)^8, (c*b*c*b*a*b*c*b)^3, c*b*c*b*a*b*c*a*b*c*b*a*b*a*c*b*c*b*a*b*c*b*c*b*a*b ] Non-orientable map of genus 92 and type {4,8}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^8, a*b*c*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b*c*b, c*b*a*b*c*b*c*a*b*c*a*b*c*b*a*b*c*b*a*c*b*a*c*b ] Orientable map of genus 46 and type {4,8}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^8, c*a*b*c*b*c*b*a*b*c*b*a*b*c*b*a*b*c*b*c*b*a*c*b ] Orientable map of genus 55 and type {4,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c*b*a*b*c)^3, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b ] Non-orientable map of genus 110 and type {4,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b, (b*c)^10 ] Non-orientable map of genus 110 and type {4,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b, (b*c)^10, b*a*b*c*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c*b*c ] Orientable map of genus 73 and type {4,20}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, (a*b*c*b)^6, (b*c)^20 ] Non-orientable map of genus 166 and type {4,45}_45 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, a*b*c*a*b*c*b*a*b*a*c*b*c*b*c*b*a*b*c, (c*b)^45 ] Orientable map of genus 87 and type {4,90}_90 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (b*c)^90 ] Orientable map of genus 89 and type {4,180}_180 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^180 ] Non-orientable map of genus 178 and type {4,180}_180 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 178 and type {4,180}_180 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^180 ] Orientable map of genus 90 and type {4,360}_360 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 49 and type {5,6}_6 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (b*c)^6, c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b, c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b ] Orientable map of genus 64 and type {5,8}_8 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (b*c)^8, (b*c*b*a*b*c)^3, c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c*b, b*a*b*c*a*b*a*b*c*b*a*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c ] Orientable map of genus 73 and type {5,10}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^5, (a*b*c*b)^4, (a*b*c*b*c*b*c*b*c*b)^2 ] Orientable map of genus 61 and type {6,6}_6 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b, c*a*b*c*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b*c*b ] Non-orientable map of genus 122 and type {6,6}_10 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, (a*b*c*b)^4, a*b*c*b*c*b*a*b*a*b*a*c*b*c*b*a*c*b*a*b*c ] Orientable map of genus 61 and type {6,6}_10 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (b*c)^6, (a*b*c*b)^4, c*a*b*a*b*c*b*a*b*a*b*a*c*b*c*b*a*c*b*c*b*a*c*b ] Non-orientable map of genus 152 and type {6,8}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (b*c)^8, c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b ] Non-orientable map of genus 152 and type {6,8}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (b*c)^8, b*c*a*b*c*b*c*b*a*b*c*a*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c ] Non-orientable map of genus 152 and type {6,8}_15 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, (b*c)^8, a*b*a*b*c*b*a*b*a*b*a*c*b*a*b*a*c*b*c*b*c ] Non-orientable map of genus 152 and type {6,8}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, (b*c)^8, b*a*b*c*b*a*b*a*b*a*c*b*a*b*a*b*c*b*a ] Orientable map of genus 85 and type {6,10}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b)^4, (a*b*c*b*c*b*c*b*a*b)^2, (b*c)^10 ] Orientable map of genus 85 and type {6,10}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, (b*c)^10, c*a*b*c*a*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*a*c*b*a*c*b ] Non-orientable map of genus 182 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b*c*b*a*b)^2, b*c*b*c*a*b*c*b*a*b*a*b*c*b*c*b*c*b*a*b*a, b*c*a*b*c*a*b*c*b*c*a*b*a*b*c*b*a*b*c*b*c*b*c ] Non-orientable map of genus 182 and type {6,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*b*c*a*b*c*b*a*b*a*c*b*c*b*a*c*b*a*b, (a*b*c*b*a*b*c*b*a*b)^2, (b*c)^12 ] Orientable map of genus 91 and type {6,12}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, a*b*c*b*c*a*b*c*b*a*b*a*b*c*b*a*c*b*c*b*a*b ] Orientable map of genus 97 and type {6,15}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*a*b*a*b*c*b*a*b*a*c*b*c*b*a*b*a*b*c ] Orientable map of genus 103 and type {6,20}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*a*b)^2, b*c*b*c*b*c*b*c*a*b*a*b*a*c*b*c*b*c*b*c*b*c*b*c, c*a*b*c*a*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*a*c*b*a*c*b ] Non-orientable map of genus 212 and type {6,24}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, b*a*b*c*b*a*b*a*b*a*c*b*a*b*a*b*c*b*a, b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*a*c ] Orientable map of genus 109 and type {6,30}_30 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b*c*b)^2, c*a*b*a*b*c*b*a*b*a*b*a*c*b*a*b*c*b*a*b*a*b, c*a*b*c*b*c*b*a*b*a*b*a*c*b*c*b*c*b*a*b*a*b ] Orientable map of genus 109 and type {6,30}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*c*a*b*a*b*a*c*b*c*b*a*c*b*a*b, c*a*b*a*b*c*b*a*b*a*b*a*c*b*a*b*c*b*a*b*a*b, c*a*b*c*b*c*b*a*b*c*b*a*c*b*c*b*c*b*a*b*c*b, c*b*c*b*c*b*c*a*b*c*a*b*c*b*c*b*c*b*a*c*b*a*c*b ] Orientable map of genus 109 and type {6,30}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, (b*c)^30 ] Orientable map of genus 112 and type {6,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (b*c)^40 ] Non-orientable map of genus 230 and type {6,60}_60 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, (a*b*c*b*c*b*c*b*c*b)^2 ] Non-orientable map of genus 230 and type {6,60}_60 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*c*b*a*b*a*c*b*a*c*b*a*c*b*a, c*a*b*a*b*c*b*a*b*a*b*a*c*b*a*b*c*b*a*b*a*b, b*c*a*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 118 and type {6,120}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (b*c)^120 ] Orientable map of genus 118 and type {6,120}_120 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 91 and type {8,8}_8 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b)^4, (b*c)^8, c*a*b*c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*c*b*c*b, c*a*b*a*b*c*a*b*a*b*a*b*a*c*b*a*b*a*c*b*c*b*c*b ] Orientable map of genus 91 and type {8,8}_10 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (c*b*a*b)^3, (a*b)^8, (b*c)^8, b*c*a*b*c*b*a*b*a*b*a*b*a*c*b*a*c*b*a*b*a*c*b*a ] Non-orientable map of genus 182 and type {8,8}_10 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (b*c)^8, (a*b*c*b*a*b*c*b*a*b)^2, (a*b*c*b*c*b*a*b*c*b)^2, b*c*a*b*c*b*a*b*a*b*a*c*b*a*c*b*c*b*c*b*a ] Orientable map of genus 91 and type {8,8}_10 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (b*c)^8, c*a*b*a*b*c*b*a*b*a*c*b*c*b*a*b*c*b, c*b*a*b*c*b*a*b*a*b*a*b*c*b*a*b*c*b*c*b ] Orientable map of genus 100 and type {8,10}_10 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (c*b*a*b)^3, (a*b)^8, (a*b*c*b*c*b*a*b*a*b)^2, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b ] Non-orientable map of genus 200 and type {8,10}_10 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, c*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, c*a*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*a*c*b, (b*c)^10 ] Orientable map of genus 124 and type {8,30}_40 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, b*c*a*b*c*b*c*b*c*b*c*b*a*c*b*c*b*a*c*b*a*c*b*c ] Orientable map of genus 127 and type {8,40}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (a*b*c*b*c*b*c*b)^2, a*b*c*b*a*b*c*b*a*b*c*a*b*a*b*a*c*b*a*b*c*b*a*b*c*b, a*b*c*a*b*c*a*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 128 and type {8,45}_180 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, (c*b)^45 ] Orientable map of genus 132 and type {8,90}_180 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^8, (a*b*c*b*a*b*a*b)^2, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 132 and type {8,90}_360 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^90 ] Orientable map of genus 134 and type {8,180}_360 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 109 and type {10,10}_10 plus image(s) under Wilson transforms [ P, Opp ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^4, c*a*b*a*b*a*b*a*b*a*c*b*c*b*c*b*c*b, (a*b)^10 ] Non-orientable map of genus 230 and type {10,12}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, (a*b*c*b*c*b*c*b)^2, (a*b)^10, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b ] Non-orientable map of genus 230 and type {10,12}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b*c*b)^2, (a*b)^10, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, (a*b*c*b*a*b*c*b*a*b)^2, a*b*a*b*c*b*a*b*a*b*a*b*c*b*c*b*a*b*a*c*b, (b*c)^12 ] Non-orientable map of genus 230 and type {10,12}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^10, c*b*c*a*b*c*a*b*a*b*a*b*a*c*b*a*b*a*b*a*c*b*a*c*b ] Non-orientable map of genus 230 and type {10,12}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^10, b*c*a*b*a*b*a*b*a*b*c*b*a*c*b*a*b*a*c*b*a*b*a, (b*c)^12 ] Orientable map of genus 140 and type {10,72}_360 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^72 ] Non-orientable map of genus 254 and type {12,15}_15 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, b*a*b*a*b*c*b*a*b*a*b*a*b*c*b*c*b*c*b*c*b*a, (a*b)^12 ] Orientable map of genus 127 and type {12,15}_20 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*b*a*c*b*a*b*a*b, c*a*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b, b*c*a*b*c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b*a*c*b*c ] Orientable map of genus 127 and type {12,15}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*b*c*b*a*b*a*b*a*b*a*c*b*a*b*a*c*b*c*b, c*b*c*a*b*a*b*a*b*a*b*a*b*c*b*a*b*c*b*a*b*a*c*b ] Orientable map of genus 127 and type {12,15}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, c*a*b*a*b*c*b*a*b*a*b*a*b*c*b*a*b*a*c*b*a*b, (c*b)^15 ] Orientable map of genus 133 and type {12,20}_20 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^12, (a*b*c*b*a*b*a*b*a*b*a*b)^2, (b*c)^20 ] Non-orientable map of genus 266 and type {12,20}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b)^2, (a*b)^12, a*b*c*b*c*b*c*b*c*b*a*b*a*c*b*c*b*a*c*b*c*b*a*c*b, a*b*c*a*b*c*b*c*b*c*a*b*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b ] Orientable map of genus 139 and type {12,30}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b*a*b)^2, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, (a*b*c*b)^4, (b*c)^30 ] Orientable map of genus 139 and type {12,30}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, a*b*a*b*c*b*a*b*a*c*b*c*b*c*b*c ] Orientable map of genus 139 and type {12,30}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, c*a*b*a*b*c*b*a*b*a*b*a*b*c*b*a*b*a*c*b*a*b, b*c*b*c*b*c*b*c*a*b*c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 142 and type {12,40}_40 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, b*c*b*c*b*a*b*a*c*b*a*c*b*a, (a*b)^12, (a*b*c*b*a*b*a*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 145 and type {12,60}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^12, (b*c)^60 ] Orientable map of genus 145 and type {12,60}_60 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^12, (a*b*c*b*a*b*a*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 148 and type {12,120}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 148 and type {12,120}_120 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b)^12, (a*b*c*b*a*b*a*b*a*b*a*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 142 and type {15,24}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*a*b)^2, c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b, (b*a)^15 ] Orientable map of genus 143 and type {18,20}_90 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, c*a*b*c*b*a*b*a*b*a*b*c*b*a*c*b*a*b, b*c*a*b*c*a*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c, (a*b)^18 ] Orientable map of genus 152 and type {18,40}_360 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, (b*c)^40 ] Orientable map of genus 153 and type {20,36}_180 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^20, (b*c)^36 ] Orientable map of genus 158 and type {20,72}_360 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^20, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 154 and type {24,30}_60 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, b*c*a*b*c*a*b*c*b*c*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 154 and type {24,30}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b*a*b*c*b, (b*c)^30 ] Orientable map of genus 154 and type {24,30}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^24, (b*c)^30 ] Orientable map of genus 154 and type {24,30}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b, (a*b)^24 ] Orientable map of genus 160 and type {24,60}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, c*a*b*a*b*a*b*a*b*a*c*b*a*b*a*b*a*b, a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b*a*b*c*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 160 and type {24,60}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^24, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] Orientable map of genus 160 and type {24,60}_120 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b*a*b*a*b)^2, b*c*a*b*c*a*b*c*a*b*c*a*b*a*b*a*b*c*a*b*a*c*b*a*b*a*b*c*b*c*b*a*c*b*c*a ] Non-orientable map of genus 324 and type {36,40}_45 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b*c*b)^2, c*a*b*c*a*b*c*b*a*b*a*c*b*a*c*b*c*b*a*b, c*b*c*b*a*b*a*b*a*b*a*b*a*c*b*a*c*b*a*b*a*b*a*c*b ] Non-orientable map of genus 324 and type {36,40}_90 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b*c*b)^2, c*a*b*c*a*b*c*b*a*b*a*c*b*a*c*b*c*b*a*b, b*c*a*b*c*a*b*a*b*a*b*c*a*b*a*b*a*b*a*c*b*a*c ] Orientable map of genus 162 and type {36,40}_360 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 167 and type {40,72}_90 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, c*a*b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b ] Orientable map of genus 167 and type {40,72}_180 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1440 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b)^2, c*b*c*b*c*a*b*c*b*c*b*c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b ] Chiral map of genus 1 and type {4,4}_60 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] Chiral map of genus 61 and type {4,12}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^4, Y^3*X*Y^-1*X^-1*Y^2*X^-1*Y^-1*X*Y, Y^12, X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^2*X^-1*Y^-3 ] Chiral map of genus 81 and type {4,36}_180 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^36 ] Chiral map of genus 82 and type {4,40}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^2*X^-1*Y*X*Y^-1*X^-1*Y^2*X^-1*Y^2, Y^-10*X^2*Y^-2*X*Y^4*X^-1*Y^-4 ] Chiral map of genus 61 and type {6,6}_8 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^6, Y^6, (Y^-1*X)^5, Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 91 and type {8,8}_30 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^3*Y^-1*X^-2*Y^4*X, Y*X*Y^-2*X^3*Y*X^-2*Y^2, X*Y^-1*X^-1*Y*X^3*Y^-2*X*Y^-2 ] Chiral map of genus 91 and type {8,8}_30 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X*Y^-1*X^2*Y*X^-1*Y, Y^-2*X^-1*Y*X^3*Y^2*X^-2*Y^-1 ] Chiral map of genus 91 and type {8,8}_30 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 91 and type {8,8}_60 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-2*Y^2*X^-2*Y^-2*X ] Chiral map of genus 118 and type {8,20}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-4*Y^-1*X*Y^-1, Y^-2*X^-1*Y*X*Y^-1*X^-3*Y*X^-1*Y^-5 ] Chiral map of genus 127 and type {8,40}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^-2*Y*X^-3*Y^-1*X^3*Y^-1, Y*X*Y^-3*X^3*Y^6 ] Chiral map of genus 131 and type {8,72}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^-5*X^-1*Y^2*X*Y^-2*X^2*Y^-9 ] Chiral map of genus 131 and type {8,72}_180 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^5*X*Y^-2*X^-1*Y^2*X^2*Y^9 ] Chiral map of genus 121 and type {12,12}_60 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^12 ] Chiral map of genus 121 and type {12,12}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X, Y^12 ] Chiral map of genus 154 and type {20,40}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-1*X*Y^-2*X^2*Y^-3*X ] Chiral map of genus 151 and type {24,24}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, X^-4*Y*X^-2*Y^2*X^-2*Y*X^-8*Y^2*X^-2 ] Chiral map of genus 151 and type {24,24}_30 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^2*Y^-2*X^3*Y*X^-1*Y^-3 ] Chiral map of genus 151 and type {24,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, Y^-1*X^6*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 151 and type {24,24}_60 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X^3*Y^-2*X*Y^2 ] Chiral map of genus 161 and type {36,36}_20 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^-1*X*Y^-4*X^5*Y^-2*X*Y^-1*X^8*Y^-2*X^4*Y^-2*X^2*Y^-2*X ] Chiral map of genus 161 and type {36,36}_20 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-2*Y^2*X^3*Y*X^-1*Y^-3, Y^3*X^-9*Y*X^-2*Y*X^-2 ] Chiral map of genus 163 and type {40,40}_6 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, X^18*Y^-1*X^2*Y^-2*X*Y^-2*X^9*Y^-1*X^4 ] Chiral map of genus 165 and type {45,45}_4 isomorphic to its mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y^2*X^-2, X^-2*Y^29*X^-11*Y^2*X^-1 ] Chiral map of genus 171 and type {72,72}_10 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^44*X^-2*Y^2*X^-4*Y^2*X^-10*Y^8 ] Chiral map of genus 171 and type {72,72}_20 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, Y^-1*X^2*Y^-11*X^10*Y^-2*X^4*Y^-3*X^2*Y^-1 ] .......................... Rotary maps with 361 edges .......................... Orientable map of genus 0 and type {2,361}_722 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1444 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^361 ] Orientable map of genus 153 and type {19,38}_38 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1444 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*c*b*c*b, (b*a)^19 ] .......................... Rotary maps with 362 edges .......................... Orientable map of genus 0 and type {2,362}_362 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1448 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^362 ] Non-orientable map of genus 1 and type {2,724}_724 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1448 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {4,4}_362 isomorphic to its dual Automorphism group of order 724 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^-2*X^-2*Y^-1*X ] .......................... Rotary maps with 363 edges .......................... Orientable map of genus 0 and type {2,363}_726 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1452 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^363 ] Orientable map of genus 1 and type {3,6}_22 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1452 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^6, c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*a*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] Non-orientable map of genus 241 and type {6,242}_363 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1452 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 155 and type {22,33}_66 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1452 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, a*b*c*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*a*b*c*b, (c*b)^33 ] .......................... Rotary maps with 364 edges .......................... Orientable map of genus 0 and type {2,364}_364 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1456 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^364 ] Non-orientable map of genus 1 and type {2,728}_728 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1456 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 90 and type {4,182}_364 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1456 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^182 ] Orientable map of genus 150 and type {14,52}_364 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1456 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, (b*c)^52 ] Orientable map of genus 156 and type {26,28}_364 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1456 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^26, (b*c)^28 ] Orientable map of genus 163 and type {28,52}_182 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1456 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c ] Chiral map of genus 79 and type {4,28}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 728 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^2, X*Y^-6*X^-1*Y*X^-2*Y^2*X^-1*Y^-2*X*Y^3 ] Chiral map of genus 157 and type {28,28}_26 isomorphic to its dual Automorphism group of order 728 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X*Y^-4*X^12*Y^-2*X^4*Y^-2*X^3 ] Chiral map of genus 175 and type {91,91}_4 isomorphic to its mirror-dual Automorphism group of order 728 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^-2*Y^72*X^-1*Y*X^-15 ] .......................... Rotary maps with 365 edges .......................... Orientable map of genus 0 and type {2,365}_730 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1460 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^365 ] Non-orientable map of genus 289 and type {10,146}_365 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1460 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 366 edges .......................... Orientable map of genus 0 and type {2,366}_366 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1464 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^366 ] Non-orientable map of genus 1 and type {2,732}_732 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1464 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 181 and type {4,183}_183 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1464 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^183 ] Orientable map of genus 120 and type {6,122}_366 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1464 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^122 ] Chiral map of genus 62 and type {6,6}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 732 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-1*X)^2, Y^2*X*Y^-1*X*Y^2*X^-1*Y^-3*X*Y^-1*X^-2*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y ] Chiral map of genus 123 and type {12,12}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 732 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, X^12, (X*Y^-2*X^3)^2, X^-1*Y*X^6*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 123 and type {12,12}_122 isomorphic to its dual Automorphism group of order 732 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X*Y^-2*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-2*X^-1*Y*X^2*Y^-1 ] .......................... Rotary maps with 367 edges .......................... Orientable map of genus 0 and type {2,367}_734 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1468 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^367 ] .......................... Rotary maps with 368 edges .......................... Orientable map of genus 0 and type {2,368}_368 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1472 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^368 ] Non-orientable map of genus 1 and type {2,736}_736 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1472 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 89 and type {4,92}_92 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1472 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^92 ] Orientable map of genus 91 and type {4,184}_184 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1472 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*a*b*a*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 91 and type {4,184}_184 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1472 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^184 ] Orientable map of genus 92 and type {4,368}_368 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1472 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 135 and type {8,92}_184 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1472 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^92 ] Orientable map of genus 135 and type {8,92}_184 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1472 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^8, (b*c)^92 ] Orientable map of genus 154 and type {16,46}_368 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1472 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, (b*c)^46 ] Orientable map of genus 158 and type {16,92}_368 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1472 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^16, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 369 edges .......................... Orientable map of genus 0 and type {2,369}_738 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1476 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^369 ] Orientable map of genus 121 and type {6,123}_246 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1476 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^6, (c*b)^123 ] Non-orientable map of genus 321 and type {18,82}_369 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1476 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 370 edges .......................... Orientable map of genus 0 and type {2,370}_370 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1480 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^370 ] Non-orientable map of genus 1 and type {2,740}_740 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1480 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 144 and type {10,74}_370 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1480 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^74 ] Chiral map of genus 1 and type {4,4}_370 isomorphic to its dual Automorphism group of order 740 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X ] Chiral map of genus 1 and type {4,4}_370 isomorphic to its dual Automorphism group of order 740 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] Chiral map of genus 149 and type {20,20}_74 isomorphic to its dual Automorphism group of order 740 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-1*X*Y^-2*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 181 and type {148,148}_10 isomorphic to its dual Automorphism group of order 740 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^-1*X^42*Y^-1*X^2*Y^-5*X^14*Y^-1*X*Y^-1*X*Y^-2*X*Y^-2 ] .......................... Rotary maps with 371 edges .......................... Orientable map of genus 0 and type {2,371}_742 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1484 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^371 ] Non-orientable map of genus 313 and type {14,106}_371 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1484 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] .......................... Rotary maps with 372 edges .......................... Orientable map of genus 0 and type {2,372}_372 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1488 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^372 ] Non-orientable map of genus 1 and type {2,744}_744 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1488 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 90 and type {4,93}_186 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1488 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b)^2, (c*b)^93 ] Non-orientable map of genus 184 and type {4,186}_186 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1488 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (b*c)^186 ] Orientable map of genus 92 and type {4,186}_372 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1488 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^186 ] Orientable map of genus 121 and type {6,93}_124 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1488 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b)^2, c*a*b*a*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 122 and type {6,124}_372 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1488 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^124 ] Orientable map of genus 150 and type {12,62}_372 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1488 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, (b*c)^62 ] Orientable map of genus 153 and type {12,124}_186 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1488 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^12, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 1 and type {3,6}_124 not isomorphic to its dual or mirror-dual Automorphism group of order 744 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^3*X*Y^-2*X^-1*Y*X^-1*Y^-3*X*Y^-2*X*Y^-1 ] Chiral map of genus 94 and type {6,12}_124 not isomorphic to its dual or mirror-dual Automorphism group of order 744 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, Y*X^-2*Y*X^-2*Y*X^3*Y*X^-1*Y*X^-2*Y*X^-2 ] Chiral map of genus 94 and type {6,12}_124 not isomorphic to its dual or mirror-dual Automorphism group of order 744 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2 ] Chiral map of genus 125 and type {12,12}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 744 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^12, X*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X^-3*Y*X^-1*Y*X^-2*Y^-1*X*Y^-1*X ] .......................... Rotary maps with 373 edges .......................... Orientable map of genus 0 and type {2,373}_746 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1492 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^373 ] .......................... Rotary maps with 374 edges .......................... Orientable map of genus 0 and type {2,374}_374 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1496 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^374 ] Non-orientable map of genus 1 and type {2,748}_748 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1496 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 160 and type {22,34}_374 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1496 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^22, (b*c)^34 ] Chiral map of genus 171 and type {44,44}_34 isomorphic to its dual Automorphism group of order 748 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X^-2*Y^-1*X, Y*X^-1*Y*X^-1*Y^3*X^-1*Y*X^-7*Y*X^-1*Y*X^-1*Y*X^-1 ] .......................... Rotary maps with 375 edges .......................... Orientable map of genus 0 and type {2,375}_750 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1500 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^375 ] Orientable map of genus 26 and type {3,10}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1500 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^10, c*a*b*c*a*b*c*a*b*c*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b*c*b*a*c*b*a*c*b ] Non-orientable map of genus 177 and type {6,10}_15 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1500 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, (b*c)^10, c*b*c*b*c*a*b*c*b*c*b*a*b*c*b*a*b*c*b*a*b*a*b*c*b*a*b*c*b*a*b ] Non-orientable map of genus 177 and type {6,10}_15 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1500 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*c*a*b*a*c*b*c*b*a*c*b, (b*c)^10, b*c*a*b*c*b*c*b*c*a*b*a*b*a*c*b*a*b*a*c*b*a*b*a*c*b*a ] Non-orientable map of genus 249 and type {6,250}_375 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1500 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 126 and type {10,15}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1500 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*c*b*a*b*a*c*b*a*b*c*b*a*b, (a*b)^10, a*b*c*b*a*b*a*b*a*b*a*b*c*b*a*b*c*b*c*b, (c*b)^15 ] Orientable map of genus 126 and type {10,15}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1500 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, b*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*b*c, (a*b)^10, (c*b)^15 ] Orientable map of genus 126 and type {10,15}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1500 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, c*a*b*a*b*c*b*a*b*a*c*b*a*c*b*a*c*b, (a*b)^10 ] Orientable map of genus 126 and type {10,15}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1500 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (a*b)^10, b*c*b*a*b*a*b*c*b*a*b*a*b*c*b*a*c*b*c*b*a*c, c*a*b*c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*c*b*c*b*c*b ] Orientable map of genus 126 and type {10,15}_30 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1500 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b*c*b)^2, (b*a*b*a*b*c)^3, (a*b)^10 ] Orientable map of genus 146 and type {10,75}_150 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1500 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*a*b*a*c*b*a*b, (a*b)^10, (c*b)^75 ] Non-orientable map of genus 337 and type {30,50}_75 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1500 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, c*b*c*b*c*b*c*b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*c*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] Chiral map of genus 146 and type {10,75}_150 not isomorphic to its dual or mirror-dual Automorphism group of order 750 with defining relations: [ (X*Y)^2, X^10, X*Y^-1*X^4*Y^-1*X*Y^-2, Y^3*X*Y^-1*X^-1*Y^3*X^-2*Y^8 ] Chiral map of genus 146 and type {10,75}_150 not isomorphic to its dual or mirror-dual Automorphism group of order 750 with defining relations: [ (X*Y)^2, X^10, X*Y^-1*X^4*Y^-1*X*Y^-2, Y^-6*X^2*Y^-2*X^-2*Y^-7 ] Chiral map of genus 171 and type {30,75}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 750 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y^3*X*Y^-2*X^2*Y^-1*X*Y^4, X^-8*Y*X^-2*Y^4 ] Chiral map of genus 171 and type {30,75}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 750 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y*X*Y^-3*X^3*Y^6, X^-8*Y^3*X^-2*Y^2 ] .......................... Rotary maps with 376 edges .......................... Orientable map of genus 0 and type {2,376}_376 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1504 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^376 ] Non-orientable map of genus 1 and type {2,752}_752 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1504 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 93 and type {4,188}_188 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1504 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^188 ] Orientable map of genus 94 and type {4,376}_376 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1504 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 138 and type {8,94}_376 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1504 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, (b*c)^94 ] Orientable map of genus 140 and type {8,188}_376 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1504 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^8, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 377 edges .......................... Orientable map of genus 0 and type {2,377}_754 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1508 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^377 ] Non-orientable map of genus 337 and type {26,58}_377 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1508 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^26, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*a*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] .......................... Rotary maps with 378 edges .......................... Orientable map of genus 0 and type {2,378}_378 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1512 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^378 ] Non-orientable map of genus 1 and type {2,756}_756 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1512 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 187 and type {4,189}_189 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*a*b*a*c*b*a*b, (c*b)^189 ] Non-orientable map of genus 227 and type {6,28}_84 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, (a*b*c*b*a*b*c*b*a*b)^2, c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 118 and type {6,42}_42 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*c*b*a*c*b*c*b*a*b*c*b, c*a*b*c*b*c*a*b*a*b*a*c*b*c*b*a*c*b*a*b, c*b*c*b*c*a*b*c*b*c*a*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Orientable map of genus 118 and type {6,42}_42 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*a*b*a*b*a*c*b*a*c*b*a*b, c*b*a*b*c*b*a*b*a*b*c*b*a*b*c*b, (b*c)^42 ] Orientable map of genus 118 and type {6,42}_42 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (b*c)^42 ] Non-orientable map of genus 245 and type {6,84}_84 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, b*c*b*c*b*a*b*a*c*b*a*c*b*a, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Non-orientable map of genus 245 and type {6,84}_84 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^6, (a*b*c*b*c*b*c*b)^2, (a*b*c*b*a*b*c*b*a*b)^2, c*b*c*b*c*a*b*c*b*c*a*b*c*b*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b ] Orientable map of genus 124 and type {6,126}_126 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, (b*c)^126 ] Orientable map of genus 156 and type {14,54}_378 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^14, (b*c)^54 ] Orientable map of genus 160 and type {18,42}_126 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, c*a*b*c*b*a*b*a*c*b*c*b*a*b, (a*b*c*b*a*b*a*b*a*b*a*b)^2, b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c, (a*b)^18 ] Orientable map of genus 160 and type {18,42}_126 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1512 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^18, (b*c)^42 ] Chiral map of genus 64 and type {6,6}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1 ] Chiral map of genus 64 and type {6,6}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2*X^2*Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y^2*X^2*Y^-1*X ] Chiral map of genus 64 and type {6,6}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, X^-1*Y^-3*X*Y^-1*X*Y^3*X^-1*Y, X*Y^-1*X^-2*Y*X^2*Y^-1*X^-2*Y*X^-2*Y*X^-1*Y ] Chiral map of genus 106 and type {6,18}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2 ] Chiral map of genus 106 and type {6,18}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, X*Y^-4*X^2*Y^-3*X*Y^-1 ] Chiral map of genus 106 and type {6,18}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^18 ] Chiral map of genus 106 and type {6,18}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y^-1*X^2*Y^-1*X, Y^18 ] Chiral map of genus 106 and type {6,18}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-2*Y*X^-2*Y*X^-2*Y*X^-2*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 106 and type {6,18}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X*Y^-1*X^-1*Y*X^2*Y^-1*X^3*Y^-1*X*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 124 and type {6,126}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^21*X^2*Y*X^-2*Y^20 ] Chiral map of genus 148 and type {18,18}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, Y*X^6*Y^5, X^-1*Y*X^-1*Y^4*X^-8*Y^3 ] Chiral map of genus 148 and type {18,18}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^-1*Y*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y, X^-1*Y^2*X^-2*Y^2*X^-7*Y^4 ] Chiral map of genus 160 and type {18,42}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, Y^-2*X^4*Y*X^-1*Y^-1*X, Y^-6*X^2*Y^-1*X^2*Y^-7 ] Chiral map of genus 178 and type {42,126}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, Y^-19*X*Y^-4*X^3*Y^-2*X^9*Y^-1*X*Y^-2 ] Chiral map of genus 176 and type {54,54}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^3*Y^-20*X^3*Y^-1*X^2*Y^-1*X^2*Y^-1*X^10*Y^-2*X*Y^-1*X*Y^-4*X^2 ] .......................... Rotary maps with 379 edges .......................... Orientable map of genus 0 and type {2,379}_758 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1516 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^379 ] .......................... Rotary maps with 380 edges .......................... Orientable map of genus 0 and type {2,380}_380 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1520 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^380 ] Non-orientable map of genus 1 and type {2,760}_760 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1520 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 94 and type {4,190}_380 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1520 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^2, (b*c)^190 ] Orientable map of genus 148 and type {10,76}_380 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1520 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^10, (b*c)^76 ] Orientable map of genus 162 and type {20,38}_380 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1520 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^20, (b*c)^38 ] Orientable map of genus 167 and type {20,76}_190 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1520 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^20, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Chiral map of genus 91 and type {4,76}_190 not isomorphic to its dual or mirror-dual Automorphism group of order 760 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^19*X*Y^-1*X*Y*X^-1*Y^-5*X*Y^12 ] Chiral map of genus 181 and type {76,76}_10 isomorphic to its dual Automorphism group of order 760 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X^2*Y*X^-1*Y, X*Y^-43*X^4*Y^-5*X^12*Y^-1*X*Y^-3*X*Y^-2*X^3 ] .......................... Rotary maps with 381 edges .......................... Orientable map of genus 0 and type {2,381}_762 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1524 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^381 ] Non-orientable map of genus 253 and type {6,254}_381 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1524 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b*c*b)^2, (a*b)^6, c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b ] Chiral map of genus 1 and type {3,6}_254 not isomorphic to its dual or mirror-dual Automorphism group of order 762 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^-1 ] .......................... Rotary maps with 382 edges .......................... Orientable map of genus 0 and type {2,382}_382 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1528 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^382 ] Non-orientable map of genus 1 and type {2,764}_764 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1528 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] .......................... Rotary maps with 383 edges .......................... Orientable map of genus 0 and type {2,383}_766 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1532 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (c*b)^383 ] .......................... Rotary maps with 384 edges .......................... Orientable map of genus 0 and type {2,384}_384 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, (b*c)^384 ] Non-orientable map of genus 1 and type {2,768}_768 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*b)^2, (a*c)^2, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 17 and type {3,8}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, (b*c)^8, b*c*a*b*c*a*b*c*b*c*a*b*c*a*b*c*b*a*c*b*a*c*b*c*b*a*c*b*a*c*b*c ] Orientable map of genus 33 and type {3,12}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, b*c*a*b*c*a*b*c*b*c*a*b*c*b*a*c*b*a*c*b*c*b*a*c*b*c, (b*c)^12 ] Orientable map of genus 33 and type {3,12}_16 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (b*a)^3, c*a*b*c*b*c*b*c*b*c*b*a*b*c*b*c*b*c*b*c*b*a*c*b, c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*a*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b*a*c*b ] Orientable map of genus 33 and type {4,6}_6 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, c*a*b*c*a*b*c*a*b*a*c*b*a*c*b*a*c*b, b*c*a*b*c*b*c*a*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c ] Orientable map of genus 33 and type {4,6}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, (a*b*c*b*c*b)^4, b*a*b*c*a*b*c*b*a*b*c*a*b*c*a*b*a*b*c*b*a*c*b*a*b*c*b*c ] Orientable map of genus 33 and type {4,6}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, b*c*b*c*b*a*b*c*b*c*a*b*a*b*c*b*c*b*a*b*c*b*a*c*b*a ] Orientable map of genus 33 and type {4,6}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (b*c)^6, (a*b*c*b)^4, b*c*a*b*c*a*b*c*b*c*a*b*c*a*b*c*a^2*b*a*c*b*a*c*b*c*b*a*c*b*a*c*b*c ] Orientable map of genus 65 and type {4,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*c*b*a*b*c*b*c*a*b*a*c*b*c*b*a*b*c*b*c*b, (b*c)^12 ] Orientable map of genus 65 and type {4,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b)^4, (a*b*c*b*c*b*c*b*c*b*c*b)^2, (b*c)^12 ] Orientable map of genus 65 and type {4,12}_12 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, b*c*b*a*b*c*b*a*b*c*b*a*c*b*c*b*c*b*c*b*a*c, (a*b*c*b*c*b)^4 ] Orientable map of genus 65 and type {4,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, b*c*a*b*c*b*c*b*c*b*a*b*a*c*b*a*c*b*a*c*b*c*b*a, (a*b*c*b*c*b)^4, (b*c)^12 ] Orientable map of genus 65 and type {4,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, b*c*a*b*c*b*c*a*b*c*a*b*a*b*c*b*c*b*a*c*b*c*b*a, (a*b*c*b*c*b)^4, (b*c)^12 ] Non-orientable map of genus 130 and type {4,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*c*a*b*c*b*a*c*b*c*b*a*c*b, (b*c)^12 ] Non-orientable map of genus 130 and type {4,12}_12 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b)^4, (b*c)^12, b*c*b*c*b*c*b*c*b*c*b*a*b*a*c*b*c*b*a*c*b*c*b*a*c*b*a ] Orientable map of genus 65 and type {4,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b)^4, (b*c)^12, b*c*b*c*b*a*b*c*a*b*c*a*b*c*b*a*c*b*a*c*b*a*b*c*b*c*b*c ] Orientable map of genus 65 and type {4,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*c*b*a*b*c*b*a*c*b*c*b*c*b*a*b*c*b, (b*c)^12 ] Orientable map of genus 65 and type {4,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, b*c*b*a*b*c*b*a*b*c*b*a*c*b*c*b*c*b*c*b*a*c, b*c*b*c*b*a*b*c*b*c*a*b*a*b*c*b*c*b*a*b*c*b*a*c*b*a ] Orientable map of genus 65 and type {4,12}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b*c*b*c*b)^2, (b*c)^12, c*b*c*b*c*a*b*c*b*c*b*a*b*c*b*c*b*a*b*c*b*c*b*a*c*b ] Orientable map of genus 65 and type {4,12}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^12, (a*b*c*b)^8 ] Orientable map of genus 81 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, a*b*c*a*b*c*b*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*b*c*b*c, (b*c)^24 ] Orientable map of genus 81 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*a*b*c*b*c*b*c*b*a*b*a*c*b*c*b*c*b*c*b*a*b, (b*c)^24 ] Orientable map of genus 81 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*b*c*b*a*b*c*b*c*a*b*a*c*b*c*b*a*b*c*b*c*b, (b*c)^24 ] Orientable map of genus 81 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*b*c*b*a*b*c*b*c*a*b*a*c*b*c*b*a*b*c*b*c*b, b*c*b*c*a*b*c*b*c*b*c*b*c*b*a*c*b*c*b*c*b*a*c*b*a*c*b*c ] Orientable map of genus 81 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*c*b*a*b*c*b*a*c*b*c*b*c*b*a*b*c*b, c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*c*b*c*b*a*c*b ] Orientable map of genus 81 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*c*b*a*b*c*b*a*c*b*c*b*c*b*a*b*c*b, b*c*a*b*c*a*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*a*c*b*a*c*b*c ] Orientable map of genus 81 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, c*a*b*c*b*c*b*a*b*a*c*b*c*b*c*b*a*b, (b*c)^24 ] Orientable map of genus 81 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b)^4, (a*b*c*b*c*b*c*b*c*b*c*b)^2, b*c*a*b*c*a*b*c*a*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 81 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, b*c*a*b*c*b*c*b*c*b*a*b*a*c*b*a*c*b*a*c*b*c*b*a, (b*c)^24 ] Orientable map of genus 81 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, b*c*a*b*c*b*c*b*c*b*a*b*a*c*b*a*c*b*a*c*b*c*b*a, (a*b*c*b*c*b)^4, b*c*a*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 81 and type {4,24}_24 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, b*c*a*b*c*b*c*a*b*c*a*b*a*b*c*b*c*b*a*c*b*c*b*a, (a*b*c*b*c*b)^4, b*c*a*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*c*b*c*b*a*c*b*c ] Orientable map of genus 81 and type {4,24}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, a*b*c*a*b*c*b*c*a*b*c*b*c*b*c*a*b*c*b*a*c*b*a*c*b*a*c*b*a*c*b*c ] Orientable map of genus 89 and type {4,48}_48 plus image(s) under Wilson transforms [ D, P, Opp, DP, PD ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b*c*b*c*b)^2, a*b*c*a*b*c*b*a*b*c*a*b*a*c*b*a*c*b*a*c*b*a*b*c*b*c, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*a*c*b*c*b*a*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 89 and type {4,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*a*b*c*b*c*b*c*b*a*b*a*c*b*c*b*c*b*c*b*a*b, b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*a*b*c*b*c*b*c*b*a*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c*b*c ] Orientable map of genus 89 and type {4,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, (a*b*c*b*c*b*c*b)^2, (b*c)^48 ] Orientable map of genus 89 and type {4,48}_48 plus image(s) under Wilson transforms [ D, P ] Automorphism group of order 1536 with defining relations: [ a^2, b^2, c^2, (a*c)^2, (a*b)^4, (a*b*c*b)^4, c*b*c*b*a*b*c*b*c*a*b*a*c*b*c*b*a*b*c*b*c*b, b*c*b*c*b*c*b*c*b*c*