Non-orientable proper regular hypermaps of genus 2 to 202 --------------------------------------------------------- Below is a list of all proper non-orientable regular hypermaps on surfaces of genus 2 to 202, up to isomorphism and triality. Here "proper" means that each of the parameters p, q and r in the type {p,q,r} is greater than 2. (Non-orientable regular maps are listed elsewhere.) The notation "NPHg.n" is used for the nth non-orientable proper regular hypermap of genus g. These were found by Marston Conder (University of Auckland) with the help of the "LowIndexNormalSubgroups" routine in Magma, in September 2006. Total number of proper hypermaps in list below: 713 NPH4.1 : Type {3,4,4} Order 24 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, b * c * b * a * c * a * c ] NPH6.1 : Type {3,3,5} Order 60 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * b)^3, (b * a * c)^3 ] NPH9.1 : Type {3,3,4} Order 168 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * b)^3, (a * c)^4, b * c * b * a * c * a * b * a * c * a * c * b * a * c * a ] NPH10.1 : Type {3,4,4} Order 96 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c)^4, (b * c)^4, (b * a * c)^3 ] NPH10.2 : Type {3,5,5} Order 60 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * a * b)^2, (c * a)^5, a * c * b * c * b * a * c * a * c * b * c ] NPH10.3 : Type {3,5,5} Order 60 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c * a * c)^2, (b * a * c)^3, (c * a)^5 ] NPH10.4 : Type {4,4,6} Order 48 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (a * c)^6 ] NPH10.5 : Type {4,4,6} Order 48 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c * a * c)^2, (b * a * c)^3 ] NPH12.1 : Type {3,4,4} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c)^4, (b * c)^4, c * a * c * a * b * a * c * b * c * a * b ] NPH14.1 : Type {5,5,5} Order 60 Defining relations for automorphism group: [ a^2, b^2, c^2, c * b * a * b * a * c * a * c * b, (b * a)^5, a * b * c * a * b * a * c * b * a * c ] NPH16.1 : Type {3,4,4} Order 168 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c)^4, (b * c)^4, (a * b * a * c)^3, a * c * a * b * c * b * a * c * a * b * c * b * c ] NPH16.2 : Type {4,4,9} Order 72 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (c * a)^9 ] NPH17.1 : Type {3,3,4} Order 360 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * b)^3, (a * c)^4, (b * a * c)^5 ] NPH17.2 : Type {3,4,6} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, b * a * c * a * b * a * c * a * c * b * c ] NPH17.3 : Type {3,4,6} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c * a * c)^2, (b * c)^4, (a * c)^6, c * a * b * a * c * a * b * a * c * a * b * c * a * c * a ] NPH17.4 : Type {4,6,6} Order 72 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, c * b * a * b * a * c * b * c * b, b * c * a * c * b * a * c * a * c * a * c ] NPH20.1 : Type {4,4,5} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (c * a)^5, b * c * b * a * b * a * c * b * a * c * a ] NPH22.1 : Type {3,6,6} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, b * c * b * c * b * a * c * a * c * a * c ] NPH22.2 : Type {4,4,12} Order 96 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (a * c)^12 ] NPH22.3 : Type {4,4,12} Order 96 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c * a * c)^2, b * a * c * b * a * c * b * a * c * a * c * a * c * a * c ] NPH23.1 : Type {4,4,4} Order 168 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c)^4, (b * c)^4, (a * b * a * c)^3, (c * b * a * b)^3, c * a * c * b * a * b * a * c * a * c * b * a * b ] NPH25.1 : Type {4,5,6} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (c * b)^5, b * c * b * a * b * a * c * b * a * c * a ] NPH25.2 : Type {4,5,6} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * b * c * b)^2, c * b * a * b * a * c * a * c * a, (c * b)^5 ] NPH26.1 : Type {3,3,5} Order 360 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * b)^3, (c * a)^5, (b * a * c)^5 ] NPH26.2 : Type {3,6,10} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, b * a * c * a * b * a * c * b * c * a * c ] NPH26.3 : Type {3,6,10} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * a * c)^3, (a * c * a * c * a * b)^2 ] NPH26.4 : Type {4,4,5} Order 160 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c)^4, (c * a)^5, b * a * c * b * a * c * b * a * c * a * c * b * a * b * c ] NPH26.5 : Type {4,4,5} Order 160 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (c * a)^5, (a * c * a * c * a * b)^2, (a * c * b * c * a * b)^2, b * a * c * b * a * b * a * c * b * a * c * b * c ] NPH28.1 : Type {4,4,15} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (c * a)^15 ] NPH29.1 : Type {6,6,6} Order 108 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (b * a * c)^3, b * c * b * a * b * a * c * a * b * a ] NPH29.2 : Type {6,6,6} Order 108 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, b * c * b * a * b * a * c * a * b * a, c * a * c * a * b * a * c * a * c * b ] NPH29.3 : Type {6,6,6} Order 108 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, b * c * b * a * b * a * c * a * b * a, b * c * b * c * b * a * c * a * c * a * c ] NPH30.1 : Type {3,4,4} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c)^4, (b * c)^4, a * b * c * a * c * a * b * a * c * a * c * b * c * a * c, b * a * c * b * c * a * b * a * c * b * c * a * c * b * c ] NPH30.2 : Type {3,4,4} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c)^4, (b * c)^4, a * c * a * b * c * b * a * c * a * b * c * b * c, b * c * a * c * b * a * c * b * a * c * b * c * a * b * c * a ] NPH30.3 : Type {3,4,8} Order 192 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (a * c * a * b * c * b)^2, a * c * a * c * a * b * a * c * b * a * c * b * c ] NPH30.4 : Type {3,4,8} Order 192 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (b * a * c)^3 ] NPH30.5 : Type {3,10,10} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * a * b)^2, c * b * c * a * c * b * a * c * a * c * a * c * b ] NPH30.6 : Type {3,10,10} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * a * b)^2, a * c * b * c * b * a * c * a * c * b * c ] NPH30.7 : Type {3,10,10} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c * a * c)^2, (b * a * c)^3 ] NPH30.8 : Type {3,10,10} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c * a * c)^2, c * a * c * a * b * a * c * b * c * b * a ] NPH30.9 : Type {5,6,6} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (b * a)^5, b * a * c * a * b * a * c * a * c * a * c ] NPH30.10 : Type {5,6,6} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (b * a)^5, b * c * b * c * b * a * c * a * c * a ] NPH30.11 : Type {5,6,6} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^5, b * c * b * c * b * a * c * a * c * a, c * a * c * a * b * a * c * b * a * c * b ] NPH32.1 : Type {4,6,6} Order 144 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, c * a * c * a * b * a * c * a * c * b ] NPH34.1 : Type {4,4,6} Order 192 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, c * a * c * a * b * a * c * b * a * c * b, (a * c)^6 ] NPH34.2 : Type {4,4,6} Order 192 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (b * a * c)^3, (a * c * b * c * a * b)^2 ] NPH34.3 : Type {4,4,6} Order 192 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c)^4, (a * c)^6, c * a * c * b * c * b * a * c * a * c * b * c * a ] NPH34.4 : Type {4,4,6} Order 192 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, b * a * c * a * b * a * c * a * c * b * c, (a * c * b * c * a * b)^2, (a * c)^6 ] NPH34.5 : Type {4,4,18} Order 144 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (a * c)^18 ] NPH34.6 : Type {4,4,18} Order 144 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c * a * c)^2, a * c * a * c * b * a * c * b * a * c * b * a * c * a * c * a * c * a * c * a * c ] NPH34.7 : Type {5,6,10} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b * c * b)^2, (b * c * a * c)^2, (b * a)^5, a * c * b * a * b * a * c * a * b * a * c ] NPH34.8 : Type {5,6,10} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b * c * b)^2, (b * c * a * c)^2, (b * a)^5, a * c * a * b * a * b * a * c * a * b * c * a * c ] NPH34.9 : Type {5,6,10} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (b * a * c)^3, (b * a)^5 ] NPH34.10 : Type {5,6,10} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (b * a)^5, a * c * b * a * b * a * c * b * c * a * c ] NPH34.11 : Type {8,8,12} Order 96 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (b * c * a * c)^2, c * a * c * b * a * b * c * b * a ] NPH34.12 : Type {8,8,12} Order 96 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (b * c * a * c)^2, (b * a * c)^3 ] NPH38.1 : Type {4,6,12} Order 144 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (b * a * c)^3, (a * c * a * c * a * b)^2 ] NPH38.2 : Type {5,10,10} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^5, b * c * a * c * b * a * c * b * c * a, b * a * c * a * b * a * c * b * c * b * c ] NPH38.3 : Type {5,10,10} Order 120 Defining relations for automorphism group: [ a^2, b^2, c^2, c * b * a * b * a * c * a * c * b, (b * a)^5 ] NPH40.1 : Type {4,4,21} Order 168 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (c * a)^21 ] NPH41.1 : Type {3,4,5} Order 360 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (c * a)^5, (a * c * b)^4, b * a * c * b * c * a * b * a * c * b * c * a * c * b * c ] NPH41.2 : Type {3,4,5} Order 360 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (c * a)^5, (a * b * a * c)^3, (b * a * c)^5 ] NPH42.1 : Type {3,8,8} Order 192 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * a * b * c * b)^2, (a * c * b * c)^3, c * b * a * c * a * b * a * c * b * c * b * c * a ] NPH42.2 : Type {3,8,8} Order 192 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * a * c)^3, (a * c * b * c)^3, (a * c * a * c * b * c * b)^2 ] NPH42.3 : Type {4,4,6} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, c * b * a * c * b * a * b * c * a * c * b, c * a * c * a * c * a * b * a * c * a * c * a * c * b ] NPH44.1 : Type {3,4,6} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (a * c)^6, c * a * c * a * c * a * b * a * c * a * c * a * c * b, a * c * a * b * c * a * b * a * c * b * c * a * b * c * b ] NPH44.2 : Type {3,4,6} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (a * c)^6, c * a * c * a * c * a * b * a * c * a * c * a * c * b, b * a * c * b * c * a * b * a * c * b * c * a * c * b * c ] NPH44.3 : Type {4,4,4} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c)^4, (b * c)^4, (a * b * a * c)^3, c * b * c * b * a * b * a * c * b * c * a * b * a, a * c * a * b * c * b * a * c * a * b * c * b * c ] NPH44.4 : Type {4,4,4} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c)^4, (b * c)^4, (a * c * b * c)^3, a * c * a * b * c * b * a * c * a * b * c * b * c ] NPH46.1 : Type {3,3,5} Order 660 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * b)^3, (c * a)^5, (a * c * a * b * c * a * c * b)^2, c * a * b * a * c * b * a * c * b * a * c * b * c * a * c * a * b * a * c * b * a ] NPH46.2 : Type {4,4,24} Order 192 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (a * c)^24 ] NPH46.3 : Type {4,4,24} Order 192 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c * a * c)^2, a * c * a * c * a * c * a * c * a * c * a * c * a * b * c * a * b * c * a * b * c * a * c * a * c * a * c ] NPH46.4 : Type {4,6,8} Order 192 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, c * b * a * c * b * a * b * c * b * c * a, (a * b * a * c)^3 ] NPH46.5 : Type {4,6,8} Order 192 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, (a * b * a * c)^3 ] NPH46.6 : Type {4,6,8} Order 192 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, c * a * c * a * c * b * a * b * c * b * a * b ] NPH47.1 : Type {3,3,4} Order 1080 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * b)^3, (a * c)^4, (a * b * a * c)^5, a * c * b * a * c * a * b * c * b * a * c * b * a * b * c * a * b * c * b * a * c * a * b * a * c ] NPH47.2 : Type {3,4,6} Order 360 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (a * c)^6, c * b * c * a * b * c * b * a * c * b * c * a * c * a, a * c * b * a * c * a * b * a * c * b * a * c * a * c * b ] NPH47.3 : Type {4,6,6} Order 216 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, c * b * a * b * a * c * b * c * b, (a * c)^6 ] NPH50.1 : Type {3,3,7} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * b)^3, (c * a)^7, (a * c * a * c * a * c * a * b)^2, b * a * c * a * b * a * c * a * b * a * c * b * a * c * b * a * c * a * c ] NPH50.2 : Type {3,5,5} Order 360 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * a)^5, (c * b)^5, (a * c * b)^4, (a * c * b * c)^3, c * b * c * a * c * a * b * a * c * b * c * a * c * a * b ] NPH50.3 : Type {4,4,10} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, b * c * a * c * b * a * b * c * b * c * a, (b * c * a * c * a * c)^2 ] NPH52.1 : Type {4,4,27} Order 216 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (c * a)^27 ] NPH52.2 : Type {4,6,6} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, b * c * b * a * b * a * c * b * a * c * a, (a * b * c * b * c * b)^2 ] NPH52.3 : Type {4,6,6} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, b * c * b * a * b * a * c * b * c * a * c, (a * c * b)^4, (b * c)^6 ] NPH52.4 : Type {4,6,6} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * b * c * b)^2, (a * c)^6, (b * c)^6, c * a * c * a * c * a * b * a * c * a * c * a * c * b, a * c * b * a * c * a * b * a * c * a * b * c * b * c * b ] NPH52.5 : Type {4,6,6} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * b * c * b)^2, (a * c)^6, (b * c)^6, c * a * c * a * c * a * b * a * c * a * c * a * c * b, b * a * c * b * c * a * b * a * c * b * c * b * c * a * c ] NPH53.1 : Type {6,6,10} Order 180 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * b * a * b * a * c * a * b * a, c * a * c * a * b * a * c * a * c * b, (a * b)^6, (b * c)^6, a * c * b * a * c * b * a * c * a * c * a * c * b ] NPH56.1 : Type {3,4,4} Order 648 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c)^4, (b * c)^4, (a * c * b * c)^3, b * c * b * a * c * a * b * c * b * a * c * a * b * c * b * a * c * a * c ] NPH56.2 : Type {4,4,5} Order 360 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (c * a)^5, (a * b * a * c)^3, (a * c * b)^4, c * b * c * b * a * b * a * c * b * c * a * b * a ] NPH57.1 : Type {3,3,6} Order 660 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * b)^3, (a * c)^6, (b * a * c)^5 ] NPH57.2 : Type {3,3,6} Order 660 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * b)^3, (a * c)^6, (c * b * a * c * a)^3 ] NPH57.3 : Type {4,10,10} Order 200 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, a * c * b * a * b * a * c * a * b * c * b, (a * c * b * c * a * b)^2 ] NPH57.4 : Type {4,10,10} Order 200 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * b * c * b)^2, c * b * a * c * a * b * a * c * a * b * c * b, c * a * c * b * a * b * a * c * a * c * a * c * a ] NPH58.1 : Type {3,3,9} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * b)^3, c * a * c * b * a * c * a * b * a * c * b * a * c * b * a * c * a ] NPH58.2 : Type {3,6,6} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * a * c)^3, (a * c)^6, (b * c)^6, a * c * b * c * a * c * a * b * a * c * a * c * b * c * a * b ] NPH58.3 : Type {4,4,6} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, c * b * a * c * a * b * a * c * a * b * c * a, (a * c)^6, c * b * c * b * a * b * a * c * b * c * a * b * a ] NPH58.4 : Type {4,4,6} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, c * b * a * c * a * b * a * c * a * b * c * a, (a * c)^6, a * b * a * c * b * a * b * a * c * a * b * a * b * c * b ] NPH58.5 : Type {4,4,9} Order 288 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, c * a * c * a * b * a * c * b * a * c * b, (c * a)^9 ] NPH58.6 : Type {4,4,30} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (a * c)^30 ] NPH58.7 : Type {4,4,30} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c * a * c)^2, c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * b * c * a * b * c * a * b * c * a * c * a * c * a * c * a * c * a ] NPH58.8 : Type {6,8,8} Order 192 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * b * a * b * a * c * a * b * c * a, (a * b)^6, b * c * a * b * a * b * a * c * b * c * b * c, c * a * c * b * a * b * a * b * c * a * c * a ] NPH58.9 : Type {6,8,8} Order 192 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (a * b)^6, b * c * a * b * a * b * a * c * b * c * b * c, c * a * c * b * a * b * a * b * c * a * c * a ] NPH58.10 : Type {6,8,8} Order 192 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (b * a * c)^3, (a * b)^6, (b * c * b * c * a * c)^2 ] NPH60.1 : Type {4,6,10} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, c * a * c * a * b * a * c * a * c * b, (a * b * c * b * c * b)^2, (b * c)^6, a * c * b * a * c * b * a * c * a * c * a * c * b ] NPH60.2 : Type {4,6,10} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (a * c * b)^4, (b * c)^6, c * b * c * b * a * b * a * c * b * c * b * a * b ] NPH60.3 : Type {4,6,10} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, a * c * b * a * b * a * c * a * b * c * b ] NPH60.4 : Type {4,6,10} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, c * b * a * b * a * c * b * c * b, (b * c * a * c * a * c * a * c)^2 ] NPH60.5 : Type {4,6,10} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c * b * c * a * c)^2, c * a * c * b * a * c * b * a * c * b * c * a * c * a * b ] NPH62.1 : Type {3,6,6} Order 360 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c)^6, (a * c * b * c)^3, (b * c)^6, b * c * b * a * c * b * a * c * a * c * b * a * c ] NPH62.2 : Type {6,6,6} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * b * a * c * a * c * a * c, (a * c * b * c * a * b)^2, (a * c * a * b * c * b)^2 ] NPH62.3 : Type {6,6,6} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * b * c * b * a * b)^2, (a * c * b * c * a * b)^2, (a * c * a * b * c * b)^2, (a * c)^6, a * c * a * b * a * b * a * c * b * c * b * a * c ] NPH64.1 : Type {4,4,33} Order 264 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (c * a)^33 ] NPH65.1 : Type {3,6,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c * a * c)^2, (b * c)^6, b * a * c * a * c * a * b * a * c * a * c * a * c * a * c ] NPH65.2 : Type {3,6,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * b * c * a * b)^2, (a * c * b * c)^3, c * b * c * b * c * b * a * c * a * c * a * c * a ] NPH65.3 : Type {3,6,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * a * c * a * b)^2, (b * c * b * c * a * c)^2, (b * c)^6, c * b * c * a * c * b * a * c * a * c * a * c * a ] NPH65.4 : Type {3,6,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * a * c)^3, (b * c)^6, a * b * a * c * a * c * a * b * a * c * b * c * a * c * b * c ] NPH65.5 : Type {4,5,5} Order 360 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (c * a)^5, (c * b)^5, (a * b * a * c)^3, (c * b * a * b)^3, b * c * b * a * c * b * a * c * a * c * b * a * c ] NPH65.6 : Type {6,6,12} Order 216 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, b * a * b * a * b * a * c * b * a * b * c, (b * c * a * c * a * c)^2 ] NPH65.7 : Type {6,6,12} Order 216 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * b)^6, (a * c * b)^4, (a * b * c * b * c * b)^2, b * a * c * b * a * b * a * c * b * c * a * b * c ] NPH65.8 : Type {6,6,12} Order 216 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * b)^6, b * c * a * b * a * b * a * c * b * c * a * c, c * b * a * c * a * c * b * a * c * a * c * a * c * a * b ] NPH66.1 : Type {4,4,6} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c)^6, (b * c * a * c * a * c)^2, b * a * b * c * a * b * a * c * b * a * c * b * c ] NPH66.2 : Type {4,4,6} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, b * a * c * a * b * a * c * a * c * b * c, (a * c)^6 ] NPH66.3 : Type {4,4,10} Order 320 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c)^4, b * a * c * b * a * c * b * a * c * a * c * b * a * b * c ] NPH66.4 : Type {4,4,10} Order 320 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c)^4, c * b * c * b * a * c * b * a * c * b * c * a * c * b * a, (a * c)^10 ] NPH66.5 : Type {4,4,10} Order 320 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * a * c * a * b)^2, (a * c * b * c * a * b)^2, (b * c * a * c * a * c)^2, b * a * c * b * a * b * a * c * b * a * c * b * c, (a * c)^10 ] NPH66.6 : Type {4,4,10} Order 320 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * a * c * a * b)^2, (a * c * b * c * a * b)^2, (b * c * a * c * a * c)^2, (b * a * c)^5 ] NPH66.7 : Type {4,6,20} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (a * c * a * c * a * b)^2, (b * c)^6, c * a * c * a * c * b * a * c * a * b * c * b * a ] NPH70.1 : Type {4,4,36} Order 288 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (a * c)^36 ] NPH70.2 : Type {4,4,36} Order 288 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c * a * c)^2, a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * b * c * a * b * c * a * b * c * a * c * a * c * a * c * a * c * a * c * a * c ] NPH70.3 : Type {6,6,10} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * c * a * b * a * c * b * c * a * c, (a * b)^6, a * b * c * b * a * b * a * c * a * c * b * c * b ] NPH70.4 : Type {6,6,10} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, c * b * a * c * b * a * b * c * b * c * a, (a * b)^6, (a * c * a * c * a * b)^2, (a * c * a * b * c * b)^2, (b * c * a * c * a * c)^2 ] NPH70.5 : Type {6,6,10} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (a * b)^6, (a * c * a * c * a * b)^2, (a * b * c * a * c * b)^2, (a * c * a * b * c * b)^2 ] NPH70.6 : Type {6,6,10} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b * c * b)^2, b * c * b * c * b * a * c * b * c * a * c, (a * b)^6 ] NPH70.7 : Type {8,8,24} Order 192 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (b * c * a * c)^2, (a * b * c * b * a * b)^2, c * b * a * c * a * c * b * a * b * c * a * c * a * c * a ] NPH70.8 : Type {8,8,24} Order 192 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (b * c * a * c)^2, (a * b * c * b * a * b)^2, b * a * c * b * a * c * b * a * c * a * c * a * c * a * c ] NPH72.1 : Type {3,8,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * a * b)^2, b * c * a * c * b * c * b * a * c * a * c * b * c * a * c, (a * c)^8 ] NPH72.2 : Type {3,8,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c * a * c)^2, b * a * c * a * c * a * b * a * c * a * c * a * c * a * c, a * b * c * b * c * a * b * a * c * b * c * b * c * b * c ] NPH72.3 : Type {3,8,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * a * b)^2, (a * c)^8, (b * c * a * c)^4, a * c * b * c * a * c * a * c * a * c * a * b * c * a * c * a * c * b * c * a * c ] NPH72.4 : Type {3,8,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * b)^4, (b * c * a * c * a * c)^2, c * a * b * c * a * b * a * c * b * c * b * c * a ] NPH72.5 : Type {3,8,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * b)^4, (a * c * b * c)^3, c * a * b * a * c * a * b * a * c * a * c * b * a * c * b ] NPH72.6 : Type {3,8,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * a * c * a * b)^2, (b * c * b * c * a * c)^2, c * b * c * a * c * b * a * c * a * c * a * c * a, (a * c * a * b * c * b * c * b)^2 ] NPH72.7 : Type {4,6,6} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (a * c)^6, (b * c)^6, c * a * c * b * a * b * a * c * a * c * a * b * a, c * b * c * b * a * b * a * c * b * c * b * a * b ] NPH72.8 : Type {4,6,6} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, (a * c)^6, (a * c * b * c)^3 ] NPH72.9 : Type {4,6,6} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, b * c * b * c * b * a * c * a * c * a, (a * c)^6, a * b * a * c * b * a * b * a * c * a * b * a * b * c * b ] NPH72.10 : Type {4,6,6} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, b * c * b * c * b * a * c * a * c * a, (a * c)^6, a * b * a * c * b * a * b * a * c * a * b * a * c * b * c ] NPH74.1 : Type {3,3,5} Order 1080 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * b)^3, (c * a)^5, (a * c * a * b)^4, a * c * b * a * c * a * b * c * a * c * b * a * b * c * a * b * c * b * a * c * a * b * c ] NPH74.2 : Type {3,6,10} Order 360 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * a * c)^3, (b * c * a * c * a * c)^2, (b * c)^6 ] NPH76.1 : Type {4,4,39} Order 312 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (c * a)^39 ] NPH77.1 : Type {4,6,6} Order 360 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, a * c * b * c * b * a * b * c * b * c, (a * b * a * c)^3, (a * c)^6, b * a * c * b * a * c * b * a * b * c * a * c * b * a * c ] NPH77.2 : Type {6,6,14} Order 252 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * b * a * b * a * c * a * b * a, c * a * c * a * b * a * c * a * c * b, (a * b)^6, (b * c)^6, c * b * a * c * b * a * c * b * a * c * a * c * a * c * a * c * a ] NPH78.1 : Type {6,10,10} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, b * c * b * a * b * a * c * a * b * c * a ] NPH78.2 : Type {6,10,10} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, a * c * a * c * b * a * b * c * b * c * b, (a * b)^6, (a * c * b * a * b * a * b)^2 ] NPH78.3 : Type {6,10,10} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (b * a * c)^3, (a * b)^6, (a * c * a * b * c * b)^2 ] NPH78.4 : Type {6,10,10} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * b * c * b)^2, (a * b)^6, c * a * c * b * a * b * a * c * b * c * a * c * b ] NPH78.5 : Type {6,10,10} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * b * c * b)^2, (a * b)^6, c * b * c * a * c * b * a * c * a * c * a * c * b ] NPH78.6 : Type {6,10,10} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * b * c * b)^2, a * c * b * c * b * a * c * a * c * b * c, (a * b)^6 ] NPH79.1 : Type {4,6,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * b * c * b)^2, a * c * b * a * b * a * c * a * c * a * c, (a * c * b * c)^3, (b * c)^6 ] NPH79.2 : Type {4,6,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, b * c * b * a * b * a * c * b * c * a * c, c * a * b * c * a * b * a * c * b * a * c * a ] NPH79.3 : Type {4,6,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, (b * c * a * c * a * c)^2, (b * c)^6, a * c * a * c * b * a * b * a * c * a * c * a * b * c * b ] NPH79.4 : Type {4,6,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, c * b * a * b * a * c * b * c * b, (a * c)^8, c * b * a * c * b * a * c * a * c * b * a * b * c * a * c * a * c * b * c * a ] NPH82.1 : Type {3,8,8} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * a * c)^3, (a * c * b * c)^3, (a * c)^8, (c * a * b * a * c * a)^3 ] NPH82.2 : Type {3,8,8} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * a * b * c * b)^2, a * c * a * c * a * b * a * c * b * a * c * b * c ] NPH82.3 : Type {3,8,8} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * a * b * c * b)^2, c * a * b * a * c * a * b * a * c * a * c * a * b * c * b ] NPH82.4 : Type {3,8,8} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * a * c)^3, (a * c * b * c * a * c * a * b)^2 ] NPH82.5 : Type {4,4,6} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, c * b * a * c * b * a * b * c * a * c * b ] NPH82.6 : Type {4,4,6} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * b)^4, (a * c)^6, a * b * a * c * b * a * b * a * c * a * b * a * c * a * c ] NPH82.7 : Type {4,4,6} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, a * c * b * c * b * a * b * c * b * c, (a * c)^6, b * a * c * a * c * b * a * b * a * c * a * c * a * c * b * a * c ] NPH82.8 : Type {4,4,6} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, a * c * b * c * b * a * b * c * b * c, (a * c)^6, b * a * c * a * c * b * a * b * a * c * a * c * a * b * c * a * c ] NPH82.9 : Type {4,4,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * b * c * a * b)^2, c * a * c * a * c * a * b * a * c * a * c * a * c * b, b * a * c * b * a * c * b * a * c * a * c * a * c * a * c ] NPH82.10 : Type {4,4,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, c * a * c * a * b * a * c * b * a * c * b, (a * c)^12 ] NPH82.11 : Type {4,4,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, b * c * a * c * a * b * a * c * b * c * a * c * a ] NPH82.12 : Type {4,4,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (b * a * c)^3, c * a * c * a * c * a * b * a * c * a * c * a * c * b ] NPH82.13 : Type {4,4,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (b * c)^4, c * b * a * c * a * c * b * a * b * c * a * c * a * c * a ] NPH82.14 : Type {4,4,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (b * c)^4, c * a * c * b * a * b * a * c * a * c * a * b * a, (a * c)^12 ] NPH82.15 : Type {4,4,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * a * c * a * b)^2, (a * c * b * c * a * b)^2, (c * b * a * c * a)^3 ] NPH82.16 : Type {4,4,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * a * c * a * b)^2, a * b * c * b * a * b * a * c * b * a * c * b * c, (c * b * a * c * a)^3 ] NPH82.17 : Type {4,4,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, a * c * b * a * b * a * c * a * c * b * c, (a * c * b * c * a * b)^2, (a * c)^12 ] NPH82.18 : Type {4,4,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, a * c * b * a * b * a * c * a * c * b * c, a * c * a * c * b * a * c * b * a * c * a * b * c * a * b * c ] NPH82.19 : Type {4,4,42} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (a * c)^42 ] NPH82.20 : Type {4,4,42} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c * a * c)^2, c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * b * c * a * b * c * a * b * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a ] NPH83.1 : Type {3,4,6} Order 648 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (a * c)^6, a * c * a * c * a * b * a * c * b * c * a * b * c ] NPH83.2 : Type {3,4,6} Order 648 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (a * c)^6, (a * c * b * c)^3, (a * c * a * b)^4, a * c * a * c * a * b * c * b * a * c * a * c * a * b * c * b * c ] NPH83.3 : Type {6,6,6} Order 324 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (a * b)^6, (a * c)^6, (b * c)^6, c * b * a * b * a * b * a * c * a * b * c * b * a ] NPH83.4 : Type {6,6,6} Order 324 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, b * c * b * a * b * a * c * a * b * a, (a * c)^6, (b * c)^6 ] NPH83.5 : Type {6,6,6} Order 324 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * b * c * b * a * c * a * c * a * c, (a * b)^6, b * c * a * b * a * b * a * c * b * c * a * c ] NPH86.1 : Type {3,4,4} Order 1008 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c)^4, (b * c)^4, a * c * a * b * c * b * a * c * a * b * c * b * c ] NPH86.2 : Type {3,10,10} Order 360 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * a * b)^2, b * c * b * c * a * c * a * c * b * a * c * a * c * a * c * a * c * b * c, (a * c)^10 ] NPH86.3 : Type {3,10,10} Order 360 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * a * c)^3, (a * c * a * c * a * c * a * b)^2, (a * c * b * c * b * c * a * b)^2 ] NPH86.4 : Type {4,4,4} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c)^4, (b * c)^4, c * b * c * b * a * b * a * c * b * c * a * b * a, a * b * c * a * c * a * b * a * c * a * c * b * c * a * c ] NPH86.5 : Type {4,4,4} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c)^4, (b * c)^4, b * c * b * a * c * a * b * a * c * b * c * a * c * b * a ] NPH86.6 : Type {4,8,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, b * c * b * a * b * a * c * b * c * b * c, (a * c * b * c)^3, (a * c)^8 ] NPH86.7 : Type {4,8,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, a * c * a * c * b * a * b * a * c * b * c * b * a * b, b * c * b * c * b * c * b * a * c * a * c * a * c * a * c ] NPH86.8 : Type {4,8,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, b * c * a * c * b * a * c * b * c * a, (b * c * a * c * a * c)^2, a * b * a * c * b * a * b * a * c * a * b * a * c * a * c ] NPH86.9 : Type {10,10,10} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * b * a * c * b * c * a * c, (a * c * a * c * a * b)^2 ] NPH86.10 : Type {10,10,10} Order 240 Defining relations for automorphism group: [ a^2, b^2, c^2, c * b * a * b * a * c * a * c * b, (b * a * c)^5 ] NPH88.1 : Type {4,4,45} Order 360 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (c * a)^45 ] NPH88.2 : Type {4,6,14} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, c * a * c * a * b * a * c * a * c * b, (a * b * c * b * c * b)^2, (b * c)^6, c * b * a * c * b * a * c * b * a * c * a * c * a * c * a * c * a ] NPH90.1 : Type {3,5,5} Order 660 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * a)^5, (c * b)^5, (a * c * b * c)^3, (b * a * c)^5, c * a * b * c * a * c * a * b * a * c * b * c * a * b * c * b * a ] NPH90.2 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, c * b * a * c * b * a * b * c * b * c * a, (b * c)^6 ] NPH90.3 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, (a * b * c * a * c * b)^2 ] NPH90.4 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * b * c * a * c * b)^2, (b * c)^6, a * c * a * c * a * b * a * c * b * a * c * b * c ] NPH90.5 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * b * c * a * c * b)^2, (b * c)^6, a * c * a * c * a * b * a * c * b * a * b * c * b ] NPH90.6 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (a * c * a * c * a * b)^2, (b * c)^6, c * b * c * b * a * b * a * c * b * c * b * a * b ] NPH90.7 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (a * c * a * c * a * b)^2, (b * c)^6, c * a * b * c * b * a * b * a * c * b * a * c * b * a * b ] NPH90.8 : Type {5,8,8} Order 320 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b * c * b)^2, (b * a)^5, (b * c * b * c * a * c)^2, c * b * a * c * b * c * b * a * c * a * c * a * c * b, a * c * a * c * b * a * b * a * c * a * b * c * a * c * b ] NPH90.9 : Type {5,8,8} Order 320 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b * c * b)^2, (b * a)^5, (b * c * b * c * a * c)^2, c * b * a * c * b * c * b * a * c * a * c * a * c * b, b * a * c * a * b * a * b * a * c * a * c * b * c * a * c ] NPH90.10 : Type {5,8,8} Order 320 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^5, (a * c * a * b * a * b)^2, c * b * c * b * a * b * a * c * a * c * b * c * a, b * c * b * a * c * b * a * c * a * c * b * a * c ] NPH90.11 : Type {5,8,8} Order 320 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^5, (a * c * a * b * a * b)^2, b * c * a * c * a * b * a * c * b * c * b * a * c ] NPH90.12 : Type {6,6,7} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * b * a * c * b * c * b * c, (a * c * b)^4, c * b * a * c * a * c * b * a * b * c * a * c * a * b ] NPH92.1 : Type {3,4,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (a * c * a * b * c * b)^2, (a * c)^6, b * a * c * b * c * a * b * a * c * b * c * a * c * b * c ] NPH92.2 : Type {3,4,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (a * c)^6, c * a * c * a * c * a * b * a * c * a * c * a * c * b, (b * a * c)^5 ] NPH92.3 : Type {3,4,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (a * c)^6, c * a * c * a * c * a * b * a * c * a * c * a * c * b, a * c * b * c * a * c * a * b * a * c * b * a * c * b * a * c * b ] NPH92.4 : Type {4,4,4} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c)^4, (b * c)^4, a * c * a * b * c * b * a * c * a * b * c * b * c, (b * a * c)^5 ] NPH92.5 : Type {4,6,6} Order 432 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, (a * c)^6, (b * c)^6, (a * c * a * c * b * a * b)^2 ] NPH92.6 : Type {6,8,12} Order 288 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * b * a * b * a * c * a * b * a, (a * b)^6, (b * c * a * c * a * c)^2, a * c * a * c * a * b * a * c * b * c * a * c * b ] NPH92.7 : Type {6,8,12} Order 288 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, b * c * b * a * b * a * c * a * b * a, (b * c * a * c * a * c)^2 ] NPH93.1 : Type {3,3,6} Order 1092 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * b)^3, (a * c)^6, (a * c * b)^6, a * b * c * a * c * a * c * a * b * a * c * b * a * c * a * c * a * b * c ] NPH94.1 : Type {4,4,48} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (a * c)^48 ] NPH94.2 : Type {4,4,48} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c * a * c)^2, a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * b * c * a * b * c * a * b * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c ] NPH94.3 : Type {4,6,28} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (a * c * a * c * a * b)^2, (b * c)^6, c * b * a * b * c * a * b * a * c * b * a * b * c * b, c * b * a * c * b * a * c * b * a * c * a * c * a * c * a * c * a ] NPH97.1 : Type {6,7,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (a * b)^6, (a * b * a * c)^3, (a * b * c * b * c * b)^2, (b * c * a * c * a * c)^2 ] NPH97.2 : Type {6,7,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * b)^6, (a * c * b)^4, (b * c * b * c * a * c)^2, c * a * c * b * c * b * a * b * c * b * c * b * a, (c * b)^7 ] NPH97.3 : Type {6,7,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (b * a * c)^3, (a * b)^6, (c * b)^7 ] NPH97.4 : Type {6,7,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b * c * b)^2, b * a * b * a * b * a * c * a * b * a * c, (c * b)^7 ] NPH97.5 : Type {6,10,10} Order 300 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (b * a * c)^3, (a * b)^6, (a * b * c * b * c * b * c * b)^2 ] NPH97.6 : Type {6,10,10} Order 300 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (a * b)^6, (a * b * c * b * a * b)^2, (b * c * b * c * a * c)^2 ] NPH97.7 : Type {6,10,10} Order 300 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * b * a * b * a * c * a * b * a, c * a * c * a * b * a * c * a * c * b, (a * b)^6, b * a * c * b * a * c * b * a * c * a * b * c * b * a * c ] NPH98.1 : Type {3,7,7} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * b * c * a * b)^2, (c * a)^7, (c * b)^7, c * a * c * a * c * a * b * a * c * a * c * b * a * c * b ] NPH98.2 : Type {3,7,7} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * a * b)^2, (c * a)^7, a * c * b * c * a * c * b * c * b * a * c * a * c * b * c * a * c * b * c ] NPH98.3 : Type {4,4,10} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * a * c * a * b)^2, (a * c * b)^4, b * c * a * c * b * a * b * a * c * a * c * b * c * a * c ] NPH98.4 : Type {4,4,10} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, b * c * a * c * b * a * b * c * b * c * a ] NPH98.5 : Type {4,4,10} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, a * c * b * c * b * a * b * c * b * c, a * c * b * a * c * b * a * b * a * c * a * b * c * a * c * a * c ] NPH98.6 : Type {4,4,10} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, a * c * b * c * b * a * b * c * b * c, a * c * b * a * c * b * a * b * a * c * a * c * b * a * c * a * c ] NPH100.1 : Type {4,4,51} Order 408 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (c * a)^51 ] NPH101.1 : Type {3,5,6} Order 660 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * b)^5, (a * c)^6, (b * c * a * c * a * c)^2, (b * a * c)^5 ] NPH101.2 : Type {3,5,6} Order 660 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * b)^5, (a * b * a * c)^3, (a * c)^6, (c * b * a * c * a)^3 ] NPH101.3 : Type {6,6,18} Order 324 Defining relations for automorphism group: [ a^2, b^2, c^2, c * a * c * a * b * a * c * a * c * b, (a * b)^6, (b * c)^6, c * b * a * b * a * b * a * c * a * b * c * b * a ] NPH101.4 : Type {6,6,18} Order 324 Defining relations for automorphism group: [ a^2, b^2, c^2, c * a * c * a * b * a * c * a * c * b, (a * b)^6, (b * c)^6, c * b * a * b * a * b * a * c * b * a * c * a * b ] NPH101.5 : Type {6,6,18} Order 324 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * b * a * b * a * c * a * b * a, c * a * c * a * b * a * c * a * c * b, (a * b)^6, (b * c)^6, c * a * c * a * c * a * c * a * c * b * a * c * a * c * a * c * b * a * c * b * a ] NPH101.6 : Type {6,6,18} Order 324 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * b * a * b * a * c * a * b * a, (a * b)^6, b * c * a * b * a * b * a * c * b * c * a * c, (b * c)^6, a * c * a * c * b * a * c * b * a * c * b * a * c * a * c * a * c * a * c * a * c ] NPH101.7 : Type {6,6,18} Order 324 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, b * c * b * a * b * a * c * a * b * a, (a * b)^6, (b * c)^6, a * c * a * c * b * a * c * b * a * c * b * a * c * a * c * a * c * a * c * a * c ] NPH101.8 : Type {6,6,18} Order 324 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (b * a * c)^3, (a * b)^6, (b * c)^6 ] NPH101.9 : Type {6,6,18} Order 324 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (a * b)^6, (b * c)^6, c * b * a * b * a * b * a * c * a * b * c * b * a, a * c * a * c * a * b * a * c * b * c * b * a * c ] NPH101.10 : Type {6,6,18} Order 324 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (a * b)^6, c * a * c * b * a * b * a * b * c * a * c * b ] NPH101.11 : Type {6,6,18} Order 324 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, c * a * c * b * a * b * a * b * c * a * c * b, (a * b * c * b * c * b)^2, (b * c)^6, c * b * a * b * a * b * a * c * b * a * c * a * b ] NPH102.1 : Type {4,6,6} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, b * c * b * a * b * a * c * b * a * c * a, (a * c)^6, (b * c)^6, b * c * a * c * a * c * b * a * c * b * c * a * c * b * c ] NPH102.2 : Type {4,6,6} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b)^4, (a * c)^6, (b * c)^6, b * a * c * a * c * b * a * b * c * b * c * a * c ] NPH104.1 : Type {6,6,10} Order 360 Defining relations for automorphism group: [ a^2, b^2, c^2, a * c * b * c * b * a * b * c * b * c, (a * b)^6, (a * c * a * b * a * b)^2, (b * c)^6, a * c * a * b * c * a * b * a * c * b * a * c * a * c, b * a * c * b * a * c * b * a * b * c * a * c * b * a * c ] NPH104.2 : Type {7,8,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * c * b)^4, (a * b * c * b * c * b)^2, (a * c * b * c)^3, b * a * c * a * c * b * a * c * b * c * a * b * c ] NPH104.3 : Type {7,8,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (b * a * c)^3, (b * a)^7, b * c * b * a * c * a * b * a * c * a * b * c * b * a ] NPH104.4 : Type {7,8,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * a * c * b * a * c * b * c * a, b * a * b * a * b * a * c * a * c * b * c, (a * c * b * a * b * c * a * b)^2 ] NPH104.5 : Type {7,8,8} Order 336 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b * c * b * a * b)^2, c * a * b * c * a * b * a * c * b * a * c * a, (a * b * c * a * c * b)^2, c * b * a * b * a * b * a * c * a * b * a * c * a, c * b * c * b * a * b * a * c * b * c * a * c * b ] NPH106.1 : Type {3,3,7} Order 1092 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * b)^3, (c * a)^7, (a * c * a * b * c * a * c * b)^2, (a * c * a * b * c * b * a * c * a * b)^2, a * c * a * b * a * c * a * c * a * b * a * c * b * a * c * a * b * c * b * a * c ] NPH106.2 : Type {3,3,7} Order 1092 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * b)^3, (c * a)^7, (a * c * a * c * a * c * a * b)^2, (b * a * c)^7 ] NPH106.3 : Type {3,3,7} Order 1092 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * b)^3, (c * a)^7, (c * b * a * c * a)^3 ] NPH106.4 : Type {3,4,5} Order 960 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (c * a)^5, (b * a * c)^5, a * b * c * b * a * c * a * c * b * a * c * b * c * a * b * c * a * c ] NPH106.5 : Type {3,7,9} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c * a * c)^2, (c * b)^7, c * a * c * a * b * c * a * b * a * c * b * c * b * a * c * b * a ] NPH106.6 : Type {3,7,9} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * b * a * c)^3, (b * c * b * c * a * c)^2, (c * b)^7, c * a * c * b * a * c * b * a * c * b * c * b * a * c * a ] NPH106.7 : Type {3,7,9} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * a * c * a * b)^2, (c * b)^7, b * c * b * a * c * a * b * a * c * b * c * b * c * a * c ] NPH106.8 : Type {4,4,15} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * a * c * a * b)^2, (a * c * b * c * a * b)^2, (b * c * a * c * a * c)^2, b * a * c * b * a * b * a * c * b * a * c * b * c, (c * a)^15 ] NPH106.9 : Type {4,4,15} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (b * c)^4, c * b * a * c * b * a * b * a * c * b * a * c * a * b * a, (c * a)^15 ] NPH106.10 : Type {4,4,15} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, c * a * c * a * b * a * c * b * a * c * b, (c * a)^15 ] NPH106.11 : Type {4,4,54} Order 432 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (a * c)^54 ] NPH106.12 : Type {4,4,54} Order 432 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c * a * c)^2, c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * b * c * a * b * c * a * b * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a ] NPH106.13 : Type {4,8,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b * c * a * b)^2, c * b * a * c * a * b * a * c * b * a * b * c * b, b * a * c * b * a * c * b * a * c * a * c * a * c * a * c ] NPH106.14 : Type {4,8,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, c * a * c * a * b * a * c * b * a * c * b, (a * c * a * b * c * a * c * b)^2 ] NPH106.15 : Type {4,8,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, b * c * a * c * a * b * a * c * b * c * a * c * a, a * c * b * a * c * b * a * b * c * b * c * b * c ] NPH106.16 : Type {4,8,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, (a * c * b * c * b * a * b)^2, c * a * c * a * c * a * b * a * c * a * c * a * c * b ] NPH106.17 : Type {4,8,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, (b * c * a * c * a * c)^2, (a * c * b * c * b * a * b)^2 ] NPH106.18 : Type {4,8,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c * a * c)^2, a * c * a * c * a * b * a * c * b * c * a * c * b, c * b * a * b * c * b * a * c * a * c * b * c * b ] NPH106.19 : Type {4,8,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (a * b * c * b * c * b)^2, c * b * a * c * b * a * b * a * c * a * b * c * a * b * a, c * b * a * c * a * c * b * a * b * c * a * c * a * c * a ] NPH106.20 : Type {4,8,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (a * b * c * b * c * b)^2, c * a * c * b * a * b * a * c * a * c * a * b * a, c * a * b * c * b * a * c * b * a * c * a * c * a * c * a * b ] NPH106.21 : Type {8,8,10} Order 320 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * b * c * b * a * b)^2, c * a * b * a * b * a * b * a * c * b * c * b * c * b, c * a * c * b * a * c * b * a * b * c * a * b * c * a, (b * a * c)^5 ] NPH106.22 : Type {8,8,10} Order 320 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * b * c * b * a * b)^2, c * a * b * a * b * a * b * a * c * b * c * b * c * b, c * a * c * b * a * c * b * a * b * c * a * b * c * a, b * a * c * b * a * c * b * a * c * a * c * b * a * b * c ] NPH106.23 : Type {8,8,10} Order 320 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * c * a * b)^2, (b * c * a * c * a * c)^2, c * a * c * b * a * b * a * c * b * a * b * c * b, c * a * c * b * a * c * b * a * c * a * b * c * a * b ] NPH106.24 : Type {8,8,10} Order 320 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * c * a * b)^2, (b * c * a * c * a * c)^2, b * a * c * b * a * b * a * c * b * a * c * b * c, c * a * c * b * a * c * b * a * c * a * b * c * a * b ] NPH106.25 : Type {8,8,36} Order 288 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (b * c * a * c)^2, (a * b * c * b * a * b)^2, a * c * a * c * b * a * c * b * a * c * a * c * a * b * c * a * c * a * c * a * c ] NPH106.26 : Type {8,8,36} Order 288 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (b * c * a * c)^2, (a * b * c * b * a * b)^2, c * a * c * a * c * a * c * a * c * b * a * b * c * a * c * a * b * c * a * c * a ] NPH110.1 : Type {3,4,12} Order 648 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (b * c * a * c * a * c)^2, c * a * b * a * c * a * b * a * c * a * b * c * b * c * a ] NPH110.2 : Type {4,4,5} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (c * a)^5, (a * c * b)^4, c * b * c * b * a * b * a * c * b * c * a * b * a ] NPH110.3 : Type {4,4,5} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (c * a)^5, (a * c * b)^4, a * b * a * c * b * a * b * a * c * a * b * a * b * c * b ] NPH110.4 : Type {4,6,12} Order 432 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, (b * c)^6, (a * c * a * c * b * a * b)^2, c * a * c * a * c * a * c * b * a * b * c * b * a * b * c * a ] NPH110.5 : Type {6,6,15} Order 360 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (a * b)^6, (a * c * a * c * a * b)^2, (b * c * a * c * a * c)^2, a * b * c * b * a * b * a * c * a * c * b * c * b ] NPH110.6 : Type {8,12,24} Order 288 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (a * c * a * c * a * b)^2, c * b * a * b * a * b * a * c * a * b * c * a * b ] NPH110.7 : Type {8,12,24} Order 288 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (b * a * c)^3, (a * c * a * c * a * b)^2 ] NPH112.1 : Type {3,4,4} Order 1320 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c)^4, (b * c)^4, a * c * b * a * c * b * a * c * a * b * a * c * a * b * c * a * b * c * a * b, c * b * a * c * b * c * a * c * a * b * a * c * b * c * a * c * b * a * c * a * b ] NPH112.2 : Type {3,6,6} Order 660 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * b * a * c)^3, (a * c)^6, (b * c)^6, (b * a * c)^5 ] NPH112.3 : Type {4,4,57} Order 456 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (c * a)^57 ] NPH113.1 : Type {6,6,20} Order 360 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (a * b)^6, (a * b * c * b * a * b)^2, a * b * a * c * a * b * a * c * b * c * b * c, c * b * a * c * a * c * b * a * c * a * c * b * a * c * a * c * a * c * a * c * a * c * a ] NPH114.1 : Type {3,4,4} Order 1344 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c)^4, (b * c)^4, b * a * c * b * c * a * b * a * c * b * c * a * c * b * c, (b * a * c)^7 ] NPH114.2 : Type {3,9,9} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * a * b)^2, b * c * a * c * b * c * b * a * c * a * c * b * c * a * c, (c * a)^9 ] NPH114.3 : Type {4,4,6} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c)^6, c * b * c * b * a * b * a * c * b * c * a * b * a, c * a * c * a * c * a * b * a * c * a * c * a * c * b, (a * b * c * b)^4 ] NPH114.4 : Type {4,4,6} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c)^6, c * a * c * a * c * a * b * a * c * a * c * a * c * b, c * a * b * c * b * a * b * a * c * b * c * a * b * c * a, (a * b * c * b)^4 ] NPH114.5 : Type {4,4,6} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c)^6, c * a * c * a * c * a * b * a * c * a * c * a * c * b, b * a * b * c * b * a * b * a * c * b * a * b * c * a * c, c * b * a * c * b * c * b * a * b * c * b * c * a * c * b ] NPH114.6 : Type {6,8,8} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, c * a * c * b * a * b * a * b * c * a * c * a, (a * c * a * b * c * b)^2, c * b * a * c * a * b * a * c * b * c * b * c * a ] NPH114.7 : Type {6,8,8} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * c * a * b * c * b)^2, (a * c * b * c)^3, c * b * a * c * a * b * a * c * b * c * b * c * a ] NPH114.8 : Type {6,8,8} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * b * a * b * a * c * a * b * c * a, (a * b)^6, (a * c * b * c)^3, b * a * c * a * c * a * b * a * c * b * a * b * c * b * c ] NPH114.9 : Type {6,8,8} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * b * a * b * a * c * a * b * c * a, (a * b)^6, c * a * c * b * a * b * a * b * c * a * c * a ] NPH114.10 : Type {6,8,8} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, c * a * c * b * a * b * a * b * c * a * c * a, (a * c * a * b * c * b)^2, a * c * b * a * c * b * a * b * c * b * c * b * c ] NPH114.11 : Type {6,8,8} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * c * a * b * c * b)^2, a * c * a * c * a * b * a * c * b * a * c * b * c, a * c * b * a * c * b * a * b * c * b * c * b * c ] NPH114.12 : Type {6,8,8} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * b * a * b * a * c * a * b * c * a, (a * b)^6, (a * c * a * c * b * c * b)^2 ] NPH114.13 : Type {6,8,8} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * c * a * b * c * b)^2, c * b * a * c * a * b * a * c * b * c * b * c * a, c * a * c * a * c * b * a * b * c * b * a * c * b, (a * c * b * a * b * a * b)^2 ] NPH114.14 : Type {6,8,8} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (a * b)^6, b * c * a * b * a * b * a * c * b * c * b * c ] NPH114.15 : Type {6,8,8} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (a * b)^6, (a * c * a * b * c * b)^2, (a * c * b * c)^3, c * a * b * a * c * a * b * a * c * a * c * a * b * c * b ] NPH114.16 : Type {6,8,8} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (a * b)^6, (a * c * a * b * c * b)^2, (a * c * a * c * b * c * b)^2 ] NPH116.1 : Type {3,4,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (b * a * c)^5, c * a * c * b * a * c * a * b * a * c * a * b * c * a * c * a ] NPH116.2 : Type {3,4,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, c * a * c * b * a * c * b * a * c * a * c * b * a * c * b ] NPH116.3 : Type {3,4,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (a * c * b)^4, (b * c * a * c)^4, (c * a * b * a * c * a)^3, c * a * c * a * b * a * c * a * b * a * c * a * c * a * c * b * a * c * b ] NPH116.4 : Type {3,4,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (a * c * b)^4, b * a * c * b * c * a * b * a * c * b * c * a * c * b * c ] NPH116.5 : Type {4,6,18} Order 432 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, c * a * c * a * b * a * c * a * c * b, (a * b * c * b * c * b)^2, (b * c)^6, c * a * c * a * c * b * a * c * b * a * c * a * c * a * c * a * c * a * c * b * a ] NPH116.6 : Type {4,6,18} Order 432 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, a * c * b * c * b * a * b * c * b * c, (a * c * a * c * a * b)^2, (b * c)^6, c * a * c * b * a * c * b * a * c * b * a * c * a * c * a * c * a * c * a * c * a ] NPH116.7 : Type {6,10,10} Order 360 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, b * c * b * a * b * a * c * a * b * a, (a * c * b * c)^3 ] NPH118.1 : Type {4,4,60} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (a * c)^60 ] NPH118.2 : Type {4,4,60} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c * a * c)^2, a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * b * c * a * b * c * a * b * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c ] NPH118.3 : Type {4,6,10} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b * a * b)^2, (b * c * b * c * a * c)^2, (b * c)^6, a * c * a * c * b * a * c * b * a * c * b * c * a * c * a * c * b ] NPH118.4 : Type {4,6,10} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b * a * b)^2, (b * c * b * c * a * c)^2, (b * c)^6, b * c * a * c * b * a * c * b * a * c * b * c * a * c * a * c * a ] NPH118.5 : Type {4,6,10} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b * a * b)^2, (a * c * b)^4, (b * c)^6, a * c * b * c * a * c * b * a * c * b * c * b * c * a * c ] NPH118.6 : Type {4,6,10} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b * a * b)^2, (a * c * b)^4, (b * c)^6, a * c * b * c * b * c * b * a * c * a * c * b * c * a * c ] NPH118.7 : Type {4,6,10} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b)^4, (b * c)^6, c * b * a * c * a * b * a * c * a * c * b * c * b ] NPH118.8 : Type {4,6,10} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, a * c * b * a * b * a * c * a * b * c * b, (b * c)^6, b * c * a * c * a * c * b * a * c * b * c * b * c * a ] NPH118.9 : Type {4,6,10} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c * b * c * a * c)^2, c * b * a * c * b * a * c * b * a * c * a * c * a * c * b * c * a ] NPH118.10 : Type {4,6,10} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, c * b * a * b * a * c * b * c * b, a * c * a * c * b * a * c * a * c * b * a * c * a * c * a * c * a * b * c * b ] NPH119.1 : Type {3,4,5} Order 1080 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (c * a)^5, b * a * c * b * c * a * b * a * c * b * c * a * c * b * c, (c * a * b * a * c * a)^3 ] NPH119.2 : Type {3,4,5} Order 1080 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (c * a)^5, (a * b * a * c)^3, c * b * c * b * a * c * a * b * c * b * a * c * a * c * a * b * c * b * a * c * a ] NPH121.1 : Type {4,14,14} Order 392 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b * c * a * b)^2, (a * c * b)^4, (a * b * c * a * c * b)^2, c * a * c * b * a * b * a * c * b * c * b * c * a ] NPH121.2 : Type {4,14,14} Order 392 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b * c * a * b)^2, (a * c * b)^4, (a * b * c * a * c * b)^2, c * b * c * a * c * b * a * c * a * b * c * b * a ] NPH121.3 : Type {4,14,14} Order 392 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b * c * a * b)^2, (a * c * b)^4, (a * b * c * a * c * b)^2, (b * c * b * c * a * c)^2, c * a * b * c * b * a * b * a * c * b * a * c * a * c * a ] NPH121.4 : Type {4,14,14} Order 392 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (a * c * b)^4, c * b * c * b * c * b * a * b * a * c * b * c * b * c * b * c * b ] NPH122.1 : Type {3,6,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * a * b * c * b)^2, (a * c)^6, (b * c)^6, c * a * c * a * c * a * b * a * c * b * c * b * c * a * b ] NPH122.2 : Type {4,4,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * a * c * a * b)^2, (a * c)^6, (b * a * c)^5, b * c * b * a * b * c * b * a * c * a * b * c * b * a * c ] NPH122.3 : Type {4,4,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * a * b * c * b)^2, (a * c)^6, (a * c * b * c)^3, c * b * c * b * a * b * a * c * b * c * a * b * a ] NPH122.4 : Type {4,6,6} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, b * c * b * c * b * a * c * a * c * a * c, (a * c * b)^6 ] NPH122.5 : Type {4,6,6} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (a * c)^6, (b * c)^6, c * a * b * a * c * a * b * a * c * a * b * c * a * c * a, b * c * b * a * b * c * b * a * b * c * b * a * c * b * c ] NPH122.6 : Type {4,6,6} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, (a * c)^6, (b * c)^6, (a * c * a * c * b * c * b)^2 ] NPH122.7 : Type {4,6,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * b * c * a * c * b)^2, (b * c)^6, c * a * c * a * c * a * b * a * c * a * c * a * c * b, c * b * c * b * a * c * b * a * c * a * b * c * a * c * b ] NPH122.8 : Type {4,6,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * b * c * a * c * b)^2, (b * c)^6, c * a * c * a * c * a * b * a * c * a * c * a * c * b, b * a * c * b * c * a * b * a * c * b * c * b * c * a * c ] NPH122.9 : Type {4,6,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, a * c * b * a * b * a * c * a * c * b * c, (a * c * b)^4 ] NPH122.10 : Type {4,6,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * c * a * b)^2, (a * c * b)^4, (b * c)^6, c * b * a * c * a * b * a * c * b * c * b * a * b ] NPH122.11 : Type {4,6,36} Order 432 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (a * c * a * c * a * b)^2, (b * c)^6, c * b * a * b * c * a * b * a * c * b * a * b * c * b, a * b * c * b * a * c * a * c * a * c * b * a * c * a * c * a * c * a * c * a * c ] NPH122.12 : Type {6,10,15} Order 360 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * b)^6, a * b * c * a * c * b * a * c * b * c * b * c, a * c * a * c * b * a * b * a * c * b * c * b * a * c * b ] NPH122.13 : Type {6,10,15} Order 360 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (b * a * c)^3, (a * b)^6, (c * b * a * b)^3 ] NPH124.1 : Type {4,4,63} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (c * a)^63 ] NPH125.1 : Type {6,6,22} Order 396 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * b * a * b * a * c * a * b * a, c * a * c * a * b * a * c * a * c * b, (a * b)^6, (b * c)^6, c * a * c * a * c * a * c * a * c * b * a * c * a * c * a * c * b * a * c * b * a * c * a * c * a ] NPH128.1 : Type {3,4,6} Order 1008 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (a * c)^6, a * c * a * b * c * a * b * a * c * b * c * a * b * c * b ] NPH128.2 : Type {4,4,9} Order 648 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (b * a * c)^3, c * a * b * a * c * a * c * a * b * a * c * b * c * a * c * a * c * b ] NPH128.3 : Type {6,6,12} Order 432 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, b * c * b * a * b * a * c * a * b * a, (b * c)^6, c * a * c * a * c * a * c * a * b * a * c * a * c * a * c * a * c * b ] NPH128.4 : Type {6,6,12} Order 432 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, b * c * b * a * b * a * c * a * b * a, (b * c)^6, (b * c * a * c * a * c * a * c)^2 ] NPH128.5 : Type {6,6,12} Order 432 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, b * c * b * a * b * a * c * a * b * a, (b * c)^6, (b * c * a * c)^4 ] NPH128.6 : Type {6,6,12} Order 432 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (a * b)^6, c * a * c * a * c * b * a * b * c * b * a * b ] NPH128.7 : Type {6,6,12} Order 432 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (a * b)^6, (b * c)^6, (a * c * a * c * b * a * b)^2, b * c * a * c * b * c * b * a * c * a * c * a * b * c ] NPH130.1 : Type {3,5,5} Order 960 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * a)^5, (c * b)^5, (b * a * c)^5, (a * c * a * b)^4 ] NPH130.2 : Type {3,5,5} Order 960 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * a)^5, (c * b)^5, (a * c * a * b * c * b)^2, (b * c * a * c)^4, c * a * c * b * a * c * a * b * a * c * b * a * c * b * c * a * b ] NPH130.3 : Type {4,4,6} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * b * c * a * b)^2, (a * c)^6, (c * b * a * c * a)^3, (a * c * b * a * c * b * a * b)^2 ] NPH130.4 : Type {4,4,6} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * b * c * a * b)^2, (a * c)^6, (c * b * a * c * a)^3, (a * c * a * b)^4, (a * c * a * b * c * a * c * b)^2 ] NPH130.5 : Type {4,4,6} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (b * a * c)^3, (a * c)^6 ] NPH130.6 : Type {4,4,18} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, c * a * c * a * b * a * c * b * a * c * b, (a * c)^18 ] NPH130.7 : Type {4,4,18} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * b * c * a * b)^2, c * a * c * a * c * a * b * a * c * a * c * a * c * b, (a * c * b * a * c * b * a * b)^2, c * a * c * b * a * c * b * a * c * b * a * c * a * c * a * c * a * c * a * c * a ] NPH130.8 : Type {4,4,18} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c)^4, c * a * c * b * c * b * a * c * a * c * b * c * a, (a * c)^18 ] NPH130.9 : Type {4,4,18} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, a * c * b * a * b * a * c * a * c * b * c, (a * c * b * c * a * b)^2, (a * c)^18 ] NPH130.10 : Type {4,4,66} Order 528 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (a * c)^66 ] NPH130.11 : Type {4,4,66} Order 528 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c * a * c)^2, c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * b * c * a * b * c * a * b * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a ] NPH130.12 : Type {8,8,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, c * a * c * a * b * a * c * b * a * c * b, c * a * b * a * b * a * b * a * c * b * c * b * c * b, (a * b * c * a * c * a * c * b)^2 ] NPH130.13 : Type {8,8,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * b * c * a * b)^2, c * a * c * b * a * b * a * b * c * b * a * c * b, c * b * a * c * a * b * a * c * b * a * b * c * b, c * a * b * a * b * a * b * a * c * b * c * b * c * b, b * a * c * b * a * c * b * a * c * a * c * a * c * a * c ] NPH130.14 : Type {8,8,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, c * b * a * b * a * b * a * c * a * b * c * a * b, b * c * a * c * a * b * a * c * b * c * a * c * a, a * c * b * a * c * b * a * b * c * b * c * b * c ] NPH130.15 : Type {8,8,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, c * a * b * a * b * a * b * a * c * b * c * b * c * b, a * c * b * c * b * a * b * a * b * c * b * c * a * b ] NPH130.16 : Type {8,8,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (b * a * c)^3, (a * b * c * b * a * b)^2, (a * b)^8 ] NPH130.17 : Type {8,8,12} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (a * b * c * b * a * b)^2, a * c * a * c * a * b * a * c * b * c * b * a * c, a * c * b * a * b * a * b * a * c * a * b * a * b * a * c ] NPH134.1 : Type {4,10,10} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b * a * b)^2, a * c * b * c * b * c * b * a * c * a * c * a * c * b * c ] NPH134.2 : Type {4,10,10} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b * a * b)^2, b * c * a * c * a * c * b * a * c * b * c * b * c * a * c ] NPH134.3 : Type {4,12,18} Order 432 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (a * b * c * b * c * b)^2, b * a * c * a * c * a * b * a * c * b * a * b * c * a, b * c * a * b * a * c * a * b * a * c * b * c * b * c * b * c, a * c * a * c * b * a * c * b * a * c * b * a * c * a * c * a * c * a * c * a * c ] NPH134.4 : Type {5,5,5} Order 660 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^5, (c * a)^5, (c * b)^5, (a * b * c * b * c * b)^2, c * b * c * b * a * b * a * c * a * b * a * c * a ] NPH134.5 : Type {5,5,5} Order 660 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^5, (c * a)^5, (c * b)^5, (a * c * b * c * a * b)^2, (a * b * c * a * c * b)^2, a * c * a * b * a * b * a * c * b * c * b * a * c ] NPH134.6 : Type {10,10,15} Order 360 Defining relations for automorphism group: [ a^2, b^2, c^2, c * b * a * c * b * a * b * c * a * b, (a * b * c * b * a * b)^2, (a * c * a * c * a * b)^2, b * a * c * a * b * a * b * a * c * b * c * b * c * a * c ] NPH136.1 : Type {4,4,69} Order 552 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (c * a)^69 ] NPH137.1 : Type {3,6,12} Order 648 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^6, c * b * a * c * a * b * a * c * a * c * b * c * b ] NPH137.2 : Type {3,6,12} Order 648 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * a * c)^3, (b * c)^6, (c * a * b * a * c * a)^3 ] NPH137.3 : Type {4,6,6} Order 648 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b * c * a * b)^2, (a * c * b)^4, (a * b * c * a * c * b)^2, (a * c)^6, (b * c)^6, a * b * a * c * b * a * b * a * c * a * b * a * b * c * b ] NPH138.1 : Type {4,10,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (a * c * b)^4, b * a * b * c * a * b * a * c * b * c * b * a * c ] NPH138.2 : Type {4,10,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (a * c * b)^4, c * a * c * b * a * b * a * c * a * c * a * b * a ] NPH138.3 : Type {4,10,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * b * c * a * c * b)^2, (b * c * a * c * a * c)^2, c * b * a * b * c * a * b * a * c * b * a * b * c * b, b * a * c * a * c * a * b * a * c * b * c * b * c * b * c ] NPH138.4 : Type {4,10,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * b * c * a * c * b)^2, (b * c * a * c * a * c)^2, c * b * a * b * c * a * b * a * c * b * a * b * c * b, c * b * c * a * c * a * b * a * c * b * c * b * c * a * b ] NPH140.1 : Type {4,5,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (c * b)^5, (a * c * b)^4, (a * c)^6, c * a * c * a * c * a * b * a * c * a * c * a * c * b, a * b * a * c * b * a * b * a * c * a * b * a * b * c * b ] NPH140.2 : Type {4,5,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (c * b)^5, (a * c * b)^4, (a * c)^6, c * a * c * a * c * a * b * a * c * a * c * a * c * b, b * a * b * c * b * a * b * a * c * b * a * b * c * a * c ] NPH140.3 : Type {4,5,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (c * b)^5, (a * b * a * c)^3, c * b * c * a * c * b * a * c * a * b * c * a, (b * a * c)^5 ] NPH140.4 : Type {4,5,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (c * b)^5, (a * b * a * c)^3, c * b * c * a * c * b * a * c * a * b * c * a, a * b * c * b * a * c * b * a * c * b * c * b * a * c * b ] NPH141.1 : Type {6,10,14} Order 420 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * b * a * b * a * c * a * b * a, c * a * c * a * b * a * c * a * c * b, (a * b)^6, a * c * b * a * c * b * a * c * b * a * c * a * b * c * a * c * a * c * b ] NPH142.1 : Type {3,3,8} Order 1344 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * b)^3, (a * c)^8, b * a * c * b * a * c * a * c * a * b * a * c * a * c * a * b * c * a * b * c, (a * c * a * b * c * a * c * a * c * b)^2, (b * a * c)^7 ] NPH142.2 : Type {3,3,13} Order 1092 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * b)^3, (a * c * a * c * a * b * a * c * a * b)^2, (a * c * b * a * c * a * b * c * a * b)^2, c * a * c * a * c * b * a * c * a * b * a * c * b * a * c * b * a * c * a * c * a, c * a * c * b * a * c * a * c * a * b * a * c * a * c * a * c * a * b * c * b * a ] NPH142.3 : Type {4,4,72} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (a * c)^72 ] NPH142.4 : Type {4,4,72} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c * a * c)^2, a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * b * c * a * b * c * a * c * a * c * b * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c ] NPH142.5 : Type {4,6,6} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c)^6, (b * c)^6, c * a * c * a * c * a * b * a * c * a * c * a * c * b, a * c * b * c * b * c * b * a * b * c * b * c * b * c, b * a * b * c * b * a * b * a * c * b * a * b * c * a * c ] NPH142.6 : Type {4,6,6} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c)^6, (b * c)^6, c * a * c * a * c * a * b * a * c * a * c * a * c * b, a * c * b * c * b * c * b * a * b * c * b * c * b * c, a * b * a * c * b * a * b * a * c * a * b * a * b * c * b ] NPH142.7 : Type {4,6,6} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c)^6, (b * c)^6, c * a * c * a * c * a * b * a * c * a * c * a * c * b, a * c * b * c * b * c * b * a * b * c * b * c * b * c, c * b * a * b * c * a * b * a * c * b * c * a * b * c * a ] NPH142.8 : Type {4,6,6} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (a * c)^6, (b * c)^6, c * b * c * b * a * b * a * c * b * c * b * a * b, a * b * c * b * a * c * a * c * b * a * b * c * b * a * b * c * a * c ] NPH142.9 : Type {4,6,6} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, (a * c)^6, (b * c)^6, a * c * b * c * a * c * a * b * a * c * b * c * a * b * a * c, c * b * a * b * c * a * c * b * a * b * c * b * c * a * c * b ] NPH142.10 : Type {4,6,6} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c)^6, (b * c)^6, b * c * a * c * b * a * b * a * c * a * c * b * a * c * a, a * c * b * c * b * a * b * a * c * b * c * a * b * c * b, b * c * a * c * a * c * b * a * c * b * c * b * c * a * c ] NPH142.11 : Type {5,6,6} Order 600 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^5, (a * c * a * b * a * b)^2, (a * c)^6, c * b * c * b * a * b * a * c * a * c * b * c * a, (a * c * a * c * b * a * c * b)^2 ] NPH142.12 : Type {6,6,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * c * a * b * a * b)^2, (b * c * b * c * a * c)^2, (b * c)^6, c * a * c * a * c * a * b * a * c * a * c * a * c * b, c * b * a * c * b * a * b * a * c * b * c * a * c * a * b ] NPH142.13 : Type {6,6,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * b * a * c * b * c * b * c, c * a * c * a * c * a * b * a * c * a * c * a * c * b ] NPH142.14 : Type {6,6,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * b * c * a * c * b)^2, (a * c * a * b * c * b)^2, (b * c)^6, b * a * c * b * a * b * a * c * b * a * c * b * c ] NPH142.15 : Type {6,6,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * b * c * a * c * b)^2, (a * c * a * b * c * b)^2, (b * c)^6, c * a * c * b * a * b * a * b * c * b * c * b * a, b * a * b * c * a * b * a * c * b * c * a * b * c ] NPH142.16 : Type {8,8,48} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (b * c * a * c)^2, (a * b * c * b * a * b)^2, a * c * a * c * b * a * c * a * c * b * a * c * a * c * a * c * a * b * c * a * c * a * c * a * c * a * c ] NPH142.17 : Type {8,8,48} Order 384 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (b * c * a * c)^2, (a * b * c * b * a * b)^2, a * c * a * c * a * c * a * c * a * c * b * a * c * b * a * c * a * c * a * b * c * a * c * a * c * a * c ] NPH144.1 : Type {4,6,22} Order 528 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, c * a * c * a * b * a * c * a * c * b, (a * b * c * b * c * b)^2, (b * c)^6, c * a * c * a * c * a * c * a * c * b * a * c * a * c * a * c * a * c * a * c * b * a * c * b * a ] NPH145.1 : Type {5,5,6} Order 660 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (b * a)^5, (c * b)^5, (a * c)^6, c * a * b * a * c * a * b * a * c * a * b * c * a * c * a, b * a * b * c * a * b * a * b * a * c * b * a * b * a * c * b * c ] NPH145.2 : Type {5,5,6} Order 660 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^5, (c * b)^5, (a * b * c * a * c * b)^2, (a * c * a * b * c * b)^2, (a * c)^6, b * a * b * c * a * b * a * c * b * c * a * b * c ] NPH145.3 : Type {5,5,6} Order 660 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^5, (c * b)^5, (a * b * a * c)^3, (a * b * c * a * c * b)^2, (a * c)^6, b * c * b * c * b * a * b * a * c * b * c * a * b * c * a ] NPH145.4 : Type {5,5,6} Order 660 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b * c * b)^2, (b * a)^5, (c * b)^5, (a * c)^6, (b * a * c)^5 ] NPH146.1 : Type {3,5,5} Order 1080 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * a)^5, (c * b)^5, (a * c * b * c)^3, (a * c * a * b)^4, a * b * a * c * b * a * c * a * b * a * c * a * c * a * b * a * c * b * c ] NPH146.2 : Type {3,5,6} Order 960 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * b)^5, (a * c * a * b * c * b)^2, (a * c)^6, (c * b * a * c * a)^3 ] NPH146.3 : Type {3,6,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^6, c * b * c * b * c * a * b * a * c * b * c * b * c * a, c * a * b * c * b * c * b * a * c * a * c * a * c * a, (b * a * c)^5 ] NPH146.4 : Type {3,6,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^6, c * b * c * b * c * a * b * a * c * b * c * b * c * a, c * a * b * c * b * c * b * a * c * a * c * a * c * a, (a * c * a * b)^4, b * a * c * b * a * c * a * b * a * c * b * c * a * c * b * a * c ] NPH146.5 : Type {4,4,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * b)^4, (a * c * b * c)^3, c * b * c * b * a * b * a * c * b * c * a * b * a ] NPH146.6 : Type {4,4,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * b)^4, (a * c * b * c)^3, a * b * a * c * b * a * b * a * c * a * b * a * b * c * b ] NPH146.7 : Type {4,4,20} Order 640 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c)^4, c * b * c * b * a * c * b * a * c * b * c * a * c * b * a, (a * c)^20 ] NPH146.8 : Type {4,4,20} Order 640 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c)^4, (b * c * a * c * a * c * a * c)^2, a * c * b * a * c * a * c * a * c * a * c * b * a * b * c * a * c * a * c * a * b * c * a * b * c ] NPH146.9 : Type {4,4,20} Order 640 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * a * c * a * b)^2, (a * c * b * c * a * b)^2, (b * c * a * c * a * c)^2, b * a * c * b * a * b * a * c * b * a * c * b * c, (a * c)^20 ] NPH146.10 : Type {4,4,20} Order 640 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * a * c * a * b)^2, (a * c * b * c * a * b)^2, (b * c * a * c * a * c)^2, a * c * b * a * c * a * c * b * a * c * a * c * a * c * a * b * c * a * b * c * a * c * a * b * c ] NPH146.11 : Type {4,4,20} Order 640 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * a * c * a * b)^2, (b * c * a * c * a * c)^2, (b * a * c)^5 ] NPH146.12 : Type {4,4,20} Order 640 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * a * c * a * b)^2, (b * c * a * c * a * c)^2, c * a * c * b * a * c * b * a * b * c * b * a * c * b * a ] NPH146.13 : Type {4,6,12} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, (a * c * a * c * a * b)^2, (b * c)^6 ] NPH146.14 : Type {4,6,12} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, (b * c)^6, (a * c * b * c * b * a * b)^2, (b * c * a * c * a * c * a * c)^2 ] NPH146.15 : Type {4,6,12} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, (b * c)^6, (a * c * a * c * b * a * b)^2, (b * c * a * c)^4 ] NPH146.16 : Type {6,12,12} Order 432 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (a * b)^6, (a * c * a * c * b * c * b)^2, a * c * b * a * b * a * b * a * c * b * c * b * c * a * c ] NPH146.17 : Type {6,12,12} Order 432 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (a * b)^6, (b * c * a * c * a * c)^2, b * c * b * c * b * a * b * a * c * a * b * a * b * c ] NPH146.18 : Type {6,12,12} Order 432 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (b * a * c)^3, (a * b)^6, a * c * b * c * b * c * b * c * b * a * b * c * b * c * b * c * b * c ] NPH146.19 : Type {7,7,7} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * b * c * a * b)^2, (c * b * a * b)^3, (a * c * a * b * c * b)^2, (a * c * b * c)^3, c * b * a * c * a * b * a * c * b * a * b * c * a ] NPH146.20 : Type {7,7,7} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (b * a)^7, c * a * b * a * c * a * b * a * c * b * c * a * c * b, b * c * b * a * c * a * b * a * c * a * b * c * b * a ] NPH147.1 : Type {4,6,10} Order 600 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, c * a * c * a * b * a * c * a * c * b, (b * c)^6, (b * a * c)^5, b * c * a * c * b * a * c * b * a * b * c * b * a * b * c * a ] NPH148.1 : Type {4,4,75} Order 600 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (c * a)^75 ] NPH149.1 : Type {6,6,26} Order 468 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * b * a * b * a * c * a * b * a, c * a * c * a * b * a * c * a * c * b, (a * b)^6, (b * c)^6, c * a * c * a * c * a * c * a * c * a * c * a * c * b * a * c * a * c * a * c * a * c * a * c * b * a * c * b * a ] NPH150.1 : Type {4,6,44} Order 528 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (a * c * a * c * a * b)^2, (b * c)^6, c * b * a * b * c * a * b * a * c * b * a * b * c * b, a * c * a * c * b * a * c * b * a * c * a * c * a * c * a * b * c * a * c * a * c * a * c * a * c ] NPH150.2 : Type {4,8,9} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, c * a * c * a * b * a * c * b * a * c * b, (c * a)^9 ] NPH150.3 : Type {4,8,9} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b * c * a * b)^2, c * b * a * c * a * b * a * c * b * a * b * c * b, (c * a)^9 ] NPH150.4 : Type {6,6,20} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * c * a * b * a * c * b * c * a * c, (a * b)^6 ] NPH150.5 : Type {6,6,20} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * c * a * c * a * b)^2, (a * b * c * a * c * b)^2, (a * c * a * b * c * b)^2, (b * c * a * c * a * c)^2, a * b * c * b * a * b * a * c * a * c * b * c * b ] NPH152.1 : Type {3,8,8} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * a * b)^2, (a * c)^8, (a * c * b * c)^5, c * a * c * b * c * b * c * a * c * b * a * c * a * c * a * c * b * c * b * c * a ] NPH152.2 : Type {3,8,8} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c * a * c * a * c)^2, c * b * c * a * c * a * b * a * c * b * c * b * c * a * b ] NPH152.3 : Type {4,6,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (a * c)^6, (b * c)^6, (b * a * c)^5, a * c * b * a * b * c * a * b * a * c * b * a * c * a * b * c * b ] NPH152.4 : Type {4,6,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b * c * b)^2, (a * c)^6, (b * c * b * c * a * c)^2, (b * c)^6, a * b * a * c * b * a * b * a * c * a * b * a * c * b * c, c * b * a * b * c * a * c * b * a * c * b * c * a * b * c * a ] NPH152.5 : Type {4,6,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, b * c * b * a * b * a * c * b * c * a * c, (a * c)^6, (b * c)^6, (a * b * c * a * c * a * c * b)^2 ] NPH152.6 : Type {4,6,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * b * c * b)^2, (a * c)^6, (b * c)^6, a * c * b * c * b * c * b * a * c * b * c * a * c * b * c ] NPH152.7 : Type {4,6,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c)^6, (b * c)^6, c * a * c * a * c * a * b * a * c * a * c * a * c * b, c * b * a * b * c * a * b * a * c * b * a * b * c * b, c * b * c * b * a * c * b * a * c * b * c * a * c * b * a ] NPH152.8 : Type {4,6,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c)^6, (b * c)^6, c * a * c * a * c * a * b * a * c * a * c * a * c * b, c * b * a * b * c * a * b * a * c * b * a * b * c * b, a * c * b * a * c * a * b * a * c * b * c * b * a * c * b ] NPH152.9 : Type {4,6,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, a * c * b * c * b * a * b * c * b * c, (a * c)^6, (b * c)^6, b * a * c * a * c * b * a * b * a * c * a * c * a * b * c * a * c ] NPH152.10 : Type {4,6,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, a * c * b * c * b * a * b * c * b * c, (a * c)^6, (b * c)^6, b * a * c * b * a * c * b * a * b * c * a * c * b * a * c ] NPH152.11 : Type {4,6,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, b * c * b * c * b * a * c * a * c * a, (a * c)^6, (b * a * c)^5 ] NPH152.12 : Type {4,6,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, b * c * b * c * b * a * c * a * c * a, (a * c)^6, a * c * b * c * a * c * a * b * a * c * b * a * c * b * a * c * b ] NPH152.13 : Type {6,8,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b * c * b)^2, (a * b)^6, (b * c * b * c * a * c)^2, c * a * c * a * c * a * b * a * c * a * c * a * c * b, b * c * a * c * b * a * b * a * c * b * c * a * b * a * c ] NPH152.14 : Type {6,8,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b * c * b)^2, (a * b)^6, (b * c * b * c * a * c)^2, c * a * c * a * c * a * b * a * c * a * c * a * c * b, a * c * b * a * b * a * b * a * c * a * b * a * c * a * b ] NPH154.1 : Type {4,4,21} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, c * a * c * a * b * a * c * b * a * c * b, (c * a)^21 ] NPH154.2 : Type {4,4,78} Order 624 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (a * c)^78 ] NPH154.3 : Type {4,4,78} Order 624 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c * a * c)^2, c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * b * c * a * b * c * a * b * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a ] NPH154.4 : Type {7,7,9} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (a * c * a * b * a * b)^2, (b * c * b * c * a * c)^2, (b * a)^7, b * c * a * c * a * c * b * a * b * c * b * c * b * a ] NPH154.5 : Type {7,7,9} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, c * b * a * c * b * a * b * c * a * b, (a * b * c * b * a * b)^2, c * b * c * b * a * b * a * c * a * c * a * c * a, (b * a)^7 ] NPH154.6 : Type {7,7,9} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b * c * b * a * b)^2, c * a * b * c * a * b * a * c * b * a * c * a, (a * b * c * a * c * b)^2, c * b * a * b * a * b * a * c * a * b * a * c * a, (c * b)^7, c * b * c * b * a * c * b * a * b * c * b * c * b * c * a ] NPH154.7 : Type {7,7,9} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * b * c * a * c * b)^2, (b * a)^7, (c * b)^7, c * b * a * c * a * c * b * a * c * a * c * a * c * a * b ] NPH154.8 : Type {7,7,9} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b * c * a * c * b)^2, (a * c * a * b * c * b)^2, c * a * c * b * a * b * a * b * c * b * c * b * a, (b * a)^7, a * c * a * b * c * a * b * a * c * b * a * c * a * c ] NPH154.9 : Type {7,7,9} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b * c * b)^2, (a * c * a * c * a * b)^2, (a * c * b * c)^3, (c * b)^7, c * a * b * a * b * a * b * a * c * a * b * a * b * c * a ] NPH155.1 : Type {4,6,9} Order 648 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, (b * c)^6, (a * c * a * b)^4, c * b * c * b * c * b * a * b * a * c * b * c * b * c * a * b * a ] NPH155.2 : Type {4,6,9} Order 648 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * c * a * b)^2, (c * b * a * b)^3, (b * c)^6, a * b * c * b * a * b * a * c * b * a * c * b * c ] NPH155.3 : Type {6,6,10} Order 540 Defining relations for automorphism group: [ a^2, b^2, c^2, c * a * c * a * b * a * c * a * c * b, (a * b)^6, (b * c)^6, a * c * b * a * c * b * a * c * a * c * a * c * b ] NPH156.1 : Type {4,6,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * b * c * b)^2, a * c * b * a * b * a * c * a * c * a * c, (b * c)^6, (a * c * b * c * a * c * b * c * a * c * b)^2 ] NPH156.2 : Type {4,6,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * b * c * b)^2, (b * c)^6, b * a * c * a * c * a * b * a * c * a * c * b * c * a * c ] NPH156.3 : Type {4,6,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, b * c * b * a * b * a * c * b * c * a * c, (b * c)^6, (a * c * a * c * a * c * a * b)^2 ] NPH156.4 : Type {4,6,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * b * c * b * c * b)^2, (b * c)^6, c * b * c * b * c * b * a * c * a * c * a * c * a, (a * c * b * c * a * c * a * b)^2 ] NPH156.5 : Type {4,6,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c * a * c)^2, (b * c)^6, a * c * a * c * b * a * b * a * c * a * c * a * b * c * b, b * c * b * c * b * a * b * a * c * b * c * b * a * c * a, (a * c * b * a * c * b * a * b)^2 ] NPH156.6 : Type {4,6,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, (b * c * a * c * a * c)^2, (b * c)^6, a * c * a * c * a * c * a * b * a * c * b * c * b * c * a * b ] NPH156.7 : Type {4,6,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, c * b * a * b * a * c * b * c * b, (a * c)^8, c * a * b * c * a * b * c * b * a * c * a * c * b * a * c * a * c * a * b * c * a * c * a * b * c * a ] NPH156.8 : Type {4,6,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c * b * c * a * c)^2, (a * c)^8, a * c * a * c * b * c * a * c * b * a * c * a * c * a * c * b * c * a * c ] NPH156.9 : Type {5,6,6} Order 660 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^5, b * c * b * c * b * a * c * a * c * a * c, b * a * c * a * b * c * a * b * a * c * b * c * a * b * a * c, c * a * b * c * b * a * c * b * a * b * c * a * c * b * a * b ] NPH156.10 : Type {5,6,6} Order 660 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (b * a)^5, (a * b * a * c)^3, (c * b * a * b)^3, (b * a * c)^5 ] NPH156.11 : Type {5,6,6} Order 660 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^5, (a * c * a * b * a * b)^2, (a * c)^6, (a * c * b * c)^3, (b * a * c)^5, b * a * c * a * b * c * a * b * a * c * b * a * c * a * b * c ] NPH157.1 : Type {4,6,15} Order 600 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^6, c * a * c * a * c * a * b * a * c * a * c * a * c * b, c * b * a * b * c * a * b * a * c * b * a * b * c * b, c * a * c * b * a * c * b * a * b * c * a * b * c * a, (b * a * c)^5 ] NPH158.1 : Type {4,6,24} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, (b * c)^6, (a * c * a * c * b * a * b)^2, (b * c * a * c * a * c * a * c)^2 ] NPH158.2 : Type {6,6,8} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, a * c * b * c * b * a * b * c * b * c, (a * b)^6, (a * c)^8 ] NPH158.3 : Type {6,10,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, c * a * c * a * b * a * c * b * a * c * b, (a * b)^6, (a * c * a * b * c * b)^2 ] NPH158.4 : Type {6,10,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * c * b * c * a * b)^2, (a * c * a * b * c * b)^2, (a * b * c * b * c * b)^2, c * b * c * b * a * b * a * c * b * a * b * c * a ] NPH158.5 : Type {6,10,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * b)^6, (a * b * c * a * c * b)^2, b * a * c * b * a * c * b * a * c * a * c * b * c * b * c ] NPH158.6 : Type {6,10,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, b * a * b * a * b * a * c * b * a * b * c, (b * c * a * c)^4 ] NPH160.1 : Type {4,4,81} Order 648 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (c * a)^81 ] NPH161.1 : Type {3,8,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, c * b * c * a * c * a * b * a * c * b * c * a * b * c * b ] NPH161.2 : Type {3,8,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * b * c)^3, (c * b * a * c * a)^3, (a * c * b * c * b * c * a * b)^2, a * c * a * c * b * a * c * b * a * c * a * b * c * a * b * c ] NPH161.3 : Type {3,8,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c * a * c)^2, a * b * c * b * c * a * b * a * c * b * c * b * c * b * c, a * c * a * c * a * c * b * a * c * b * a * c * a * b * c * a * b * c * a * c ] NPH161.4 : Type {3,8,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * b * c * a * b)^2, (b * c * a * c * a * c)^2, c * b * c * b * c * b * a * c * b * c * a * c * b, (a * c * a * c * b)^4 ] NPH161.5 : Type {6,6,28} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (a * b)^6, (a * b * c * b * a * b)^2, a * b * a * c * a * b * a * c * b * c * b * c, a * c * a * c * a * c * a * c * a * b * c * b * a * c * a * c * a * b * c * b * a * b * c * a * c * a * c * a * c * a * c * a * c ] NPH162.1 : Type {3,4,4} Order 1920 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c)^4, (b * c)^4, (b * c * b * a * c * a)^3, (a * c * b * c * a * b * c * a * c * b)^2, (a * c * b * c)^5, (c * a * b * a * c * b * a)^3, c * a * b * c * a * c * a * b * c * a * c * a * b * a * c * a * c * b * a * c * a * c * b * c * a ] NPH162.2 : Type {3,8,8} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * a * b * c * b)^2, (a * c * b * c)^3, (a * c * a * c * b * a * c * b)^2, (a * c)^8, c * a * b * a * c * a * c * a * b * a * c * a * c * b * c * b * a * c * b ] NPH162.3 : Type {3,8,8} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * a * c)^3, (a * c)^8, (b * c * b * c * a * c * a * c)^2, (c * a * b * a * c * b)^3 ] NPH162.4 : Type {3,8,8} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * a * b * c * b)^2, b * c * a * c * a * c * b * a * c * b * c * b * c * a * c, (a * c)^8, (c * a * b * a * c * b)^3 ] NPH162.5 : Type {3,8,8} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * a * c)^3, (a * c * b * c)^3, (a * c)^8 ] NPH162.6 : Type {4,4,7} Order 896 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c)^4, (c * a)^7, (b * c * a * c)^4, b * a * c * b * a * c * b * a * c * b * a * c * a * c * a * b * c * b * a * b * c ] NPH162.7 : Type {4,4,7} Order 896 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * b * c * a * b)^2, (b * c * a * c * a * c)^2, (c * a)^7, c * b * a * c * b * a * c * b * a * b * a * c * b * a * c * b * a * c * a * b * a ] NPH162.8 : Type {4,4,7} Order 896 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * b * c * a * b)^2, (c * a)^7, c * a * c * a * c * a * b * a * c * b * a * c * a * c * b, (a * c * a * b)^4 ] NPH162.9 : Type {4,4,7} Order 896 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * b * c * a * b)^2, (c * a)^7, (a * c * a * b)^4, (a * c * a * c * a * c * a * b)^2, b * a * c * b * a * c * b * a * b * a * c * b * a * c * b * a * c * b * c ] NPH162.10 : Type {4,4,12} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * a * c * a * b)^2, (a * c * b * a * b * c * a * b)^2, a * c * b * c * b * a * c * b * a * b * c * b * c * a * c * b, c * b * a * c * b * a * c * b * a * c * a * b * c * b * a * c * a ] NPH162.11 : Type {4,4,12} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * a * c * a * b)^2, (c * b * a * c * a)^3 ] NPH162.12 : Type {4,4,12} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * a * c * a * b)^2, a * b * c * b * a * b * a * c * b * a * c * b * c, (a * c)^12 ] NPH162.13 : Type {4,4,12} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, a * c * b * a * b * a * c * a * c * b * c, (a * c)^12 ] NPH162.14 : Type {5,6,10} Order 600 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b * c * b)^2, (b * a)^5, (b * c)^6, (b * a * c)^5, (a * c * a * c * a * c * a * b)^2 ] NPH162.15 : Type {5,6,10} Order 600 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (b * a)^5, (b * c)^6, b * c * a * c * a * c * b * a * c * b * c * b * c * a * c ] NPH162.16 : Type {7,9,9} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * c * a * b)^2, (a * b * c * b * c * b)^2, a * b * c * b * a * b * a * c * a * b * a * c * b, (b * a)^7, c * a * c * b * c * a * b * a * c * b * c * b * a * c * a ] NPH162.17 : Type {7,9,9} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b * c * b)^2, (b * a * c)^3, (b * a)^7, (b * c * a * c * a * c * a * c)^2, c * b * c * a * c * a * b * a * b * a * c * a * c * b * c * b * c * b ] NPH162.18 : Type {7,9,9} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * a * b * a * b * a * c * b * a * c * a, b * a * c * b * a * b * a * b * c * a * b * c, (b * a)^7, a * c * a * c * b * a * b * a * c * a * b * a * c * a * c ] NPH162.19 : Type {7,9,9} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (a * b * c * b * a * b)^2, a * c * a * b * a * b * a * c * b * c * b * a * b, (b * a)^7, a * c * a * c * a * c * b * a * c * a * b * c * b * c * b ] NPH162.20 : Type {7,9,9} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b * a * c)^3, (a * c * a * b * c * b)^2, (a * b * c * b * c * b)^2, (b * a)^7, c * b * c * a * b * a * b * a * c * b * c * a * c * a, b * c * b * a * b * a * b * a * c * a * b * c * a * b * a ] NPH162.21 : Type {7,9,9} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * a * c * b * a * c * b * c * a, b * a * b * a * b * a * c * a * c * b * c, b * a * c * b * a * b * c * a * b * a * c * b * a * b * c * a * b * c ] NPH164.1 : Type {3,12,12} Order 648 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * a * b)^2, a * c * b * c * a * c * b * c * b * a * c * a * c * b * c * a * c * b * c, (b * c * b * c * a * c * a * c * a * c)^2 ] NPH164.2 : Type {3,12,12} Order 648 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * a * c)^3, (a * c * b * c)^3, b * c * b * a * c * a * c * b * c * b * a * c * a * c * a * c * a * b * c * b * c ] NPH164.3 : Type {4,4,5} Order 1080 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (c * a)^5, (a * b * a * c)^3, (a * c * b * c)^3, c * b * c * b * a * b * a * c * b * c * a * b * a ] NPH164.4 : Type {4,5,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (c * b)^5, (a * b * a * c)^3, c * b * a * c * b * a * b * a * c * b * a * c * b * c * a ] NPH164.5 : Type {4,5,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (c * b)^5, (a * b * a * c)^3, b * c * b * a * c * b * a * c * a * c * b * a * c ] NPH166.1 : Type {4,4,84} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (a * c)^84 ] NPH166.2 : Type {4,4,84} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c * a * c)^2, a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * b * c * a * b * c * a * b * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c ] NPH166.3 : Type {4,8,18} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, c * a * c * a * b * a * c * b * a * c * b, c * b * a * c * a * b * c * a * c * a * c * a * c * a * c * b * a * c * a * b * c * a ] NPH166.4 : Type {4,8,18} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b * c * a * b)^2, c * b * a * c * a * b * a * c * b * a * b * c * b, c * a * c * b * a * c * b * a * c * b * a * c * a * c * a * c * a * c * a * c * a ] NPH166.5 : Type {4,8,18} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, a * b * a * c * a * b * a * c * b * c * b * c, (b * c * a * c * a * c)^2, (a * c * b * a * c * b * a * b)^2, c * a * c * b * a * c * b * a * c * b * a * c * a * c * a * c * a * c * a * c * a ] NPH166.6 : Type {6,10,20} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * b)^6, c * b * c * a * c * b * a * c * a * c * a * c * b, (a * b * c * b * a * c * b)^2 ] NPH166.7 : Type {6,10,20} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * b)^6, (a * b * c * b * a * c * b)^2, a * c * b * c * b * a * b * a * c * b * c * b * c * a * c ] NPH166.8 : Type {6,10,20} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, c * a * c * a * b * a * c * b * c * b * a, (a * b)^6 ] NPH166.9 : Type {6,10,20} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (a * b)^6, (a * c * a * b * c * b)^2, a * b * c * a * b * a * b * a * c * b * a * b * c * a * c ] NPH168.1 : Type {8,10,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, a * c * b * c * b * a * b * c * b * c, (a * c * a * c * a * b)^2, a * c * b * a * c * a * b * a * c * b * c * a * b * c * b ] NPH168.2 : Type {8,10,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, a * c * b * c * b * a * b * c * b * c, (a * c * a * c * a * b)^2, a * c * b * a * c * b * a * c * b * c * b * c * b ] NPH170.1 : Type {3,3,5} Order 2520 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (c * b)^3, (c * a)^5, (b * a * c)^7, c * a * b * c * a * c * a * b * c * b * a * c * a * b * c * b * a * c * a * c * b * a * c * a, (a * c * a * b)^6 ] NPH170.2 : Type {3,4,6} Order 1344 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (a * c)^6, b * a * c * b * c * a * b * a * c * b * c * a * c * b * c, (a * c * a * b)^4, (b * a * c)^7 ] NPH170.3 : Type {3,4,6} Order 1344 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (a * c)^6, (a * c * a * b)^4, (a * c * a * b * c * a * c * b)^2, (b * c * a * c)^4, a * b * c * b * a * c * a * b * a * c * a * c * b * a * c * b * c, (b * a * c)^7 ] NPH170.4 : Type {3,6,6} Order 1008 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * a * c)^3, (a * c)^6, (b * c)^6 ] NPH170.5 : Type {3,10,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * b * c * a * b)^2, (a * c * a * c * a * c * a * b)^2, c * b * c * a * c * a * c * b * a * c * a * c * b * c * b * c * a ] NPH170.6 : Type {3,10,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * a * b)^2, (b * c * a * c)^4, (a * c)^10, c * a * c * b * c * b * c * a * c * b * a * c * a * c * a * c * b * c * b * c * a ] NPH170.7 : Type {3,10,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * b)^4, (a * c * b * c)^3, c * b * c * a * c * a * b * a * c * b * c * a * c * a * b ] NPH170.8 : Type {3,10,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c * b)^4, (a * c * b * c)^3, (a * c * a * b)^4, c * b * c * b * a * c * a * b * a * c * b * c * a * c * a * c * b ] NPH170.9 : Type {4,4,4} Order 1344 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c)^4, (b * c)^4, (c * b * a * b)^3, c * a * c * b * a * b * a * c * a * c * b * a * b, (b * a * c)^7 ] NPH170.10 : Type {4,4,4} Order 1344 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c)^4, (b * c)^4, a * b * c * a * c * a * b * a * c * a * c * b * c * a * c, b * a * c * b * a * c * b * a * b * a * c * a * b * c * a * c * b * c ] NPH170.11 : Type {4,4,4} Order 1344 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c)^4, (b * c)^4, c * b * c * b * a * b * a * c * b * c * a * b * a, b * a * c * b * a * c * b * a * b * a * c * a * b * c * a * c * b * c ] NPH170.12 : Type {4,5,5} Order 960 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (c * a)^5, (c * b)^5, b * c * a * c * b * a * b * a * c * b * c * a * b * c * a, (c * a * b * a * c * a)^3 ] NPH170.13 : Type {4,5,5} Order 960 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (c * a)^5, (c * b)^5, (a * c * b * c)^3, b * c * b * c * a * c * a * b * a * c * a * c * b * c * b * a, (a * c * a * c * a * b * c * b)^2, c * a * b * a * c * b * a * b * a * c * a * c * a * b * c * a * b ] NPH170.14 : Type {4,8,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (c * b * a * c * b)^3, (a * c)^8 ] NPH170.15 : Type {4,8,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, b * c * b * a * b * a * c * b * c * b * c, (a * c)^8, a * c * b * a * c * b * a * c * b * a * c * a * c * b * a * b * c * b ] NPH170.16 : Type {4,8,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, b * c * a * c * b * a * b * a * c * a * c * b * a * c * a, a * c * b * c * b * a * b * a * c * b * c * a * b * c * b, b * c * b * c * b * c * b * a * c * a * c * a * c * a * c ] NPH170.17 : Type {4,8,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, b * c * a * b * a * c * a * b * a * c * b * c * a * c * a * c ] NPH170.18 : Type {4,8,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c * a * c)^2, (b * c * b * c * a * c)^2, b * a * b * c * b * a * b * a * c * b * a * b * c * b * c ] NPH170.19 : Type {4,12,12} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, (a * c * b * c * b * a * b)^2, b * c * a * b * a * c * a * b * a * c * b * c * b * c * b * c, (b * c * a * c)^4 ] NPH170.20 : Type {4,12,12} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (b * a * c)^3, (c * a * b * a)^6 ] NPH170.21 : Type {5,6,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (b * a)^5, (a * c)^6, (b * c)^6, (b * c * b * c * a * c * a * c)^2, (b * c * a * c)^4, a * b * c * a * c * b * a * b * a * c * b * c * b * c * a * b * c ] NPH170.22 : Type {5,6,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^5, (a * c * a * b * a * b)^2, (a * c)^6, (a * c * b * c)^3, a * b * c * b * a * c * b * a * c * a * c * a * c * b * c ] NPH170.23 : Type {5,6,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^5, b * c * b * c * b * a * c * a * c * a, (a * c)^6, (a * c * a * b)^4, c * b * a * c * a * b * a * b * a * c * b * a * c * b * a * b * a ] NPH170.24 : Type {5,6,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^5, b * c * b * c * b * a * c * a * c * a, (a * c)^6, (b * a * c)^5 ] NPH170.25 : Type {6,6,6} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * b * a * b * a * c * a * b * c * a, (a * b)^6, (a * c)^6, (b * c)^6, a * c * b * c * a * c * a * b * a * c * a * c * b * c * a * b ] NPH170.26 : Type {6,6,6} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (a * b)^6, (a * c * a * b * c * b)^2, (a * c)^6, (b * c)^6, a * c * b * c * a * c * a * b * a * c * a * c * b * c * a * b ] NPH170.27 : Type {9,9,9} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (a * b * c * b * a * b)^2, (a * c * a * c * a * b)^2, (b * c * b * c * a * c)^2, a * c * a * b * a * b * a * b * a * c * b * c * a * b * a * b * c, c * b * c * b * c * b * a * b * a * c * b * c * b * a * c * a * b ] NPH170.28 : Type {9,9,9} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, c * b * a * b * a * b * a * c * a * c * a * c * b, a * b * c * a * b * a * b * a * c * b * a * c * b * c, a * b * c * b * c * a * b * a * c * b * c * b * a * c ] NPH170.29 : Type {9,9,9} Order 504 Defining relations for automorphism group: [ a^2, b^2, c^2, c * a * c * a * b * a * b * a * c * a * c * b * c * b, a * c * b * c * b * a * b * a * b * c * b * c * a * c, b * c * a * b * c * a * b * a * c * b * a * c * b * a, c * a * c * b * a * c * b * a * c * a * b * c * a * b, a * c * b * a * b * a * b * a * c * a * b * a * c * a * c ] NPH172.1 : Type {4,4,87} Order 696 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (c * a)^87 ] NPH172.2 : Type {4,6,26} Order 624 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, c * a * c * a * b * a * c * a * c * b, (a * b * c * b * c * b)^2, (b * c)^6, a * b * c * a * b * c * a * c * a * c * a * c * a * c * b * a * b * c * a * c * a * c * a * c * a * c * a * c * b * a * c ] NPH173.1 : Type {4,6,18} Order 648 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b * c * a * b)^2, (a * c * b)^4, (a * b * c * a * c * b)^2, (b * c)^6, a * b * c * b * a * b * c * b * a * c * a * c * a * c * a * c, c * a * c * a * c * a * c * b * a * c * a * b * c * b * a * c * b ] NPH173.2 : Type {4,6,18} Order 648 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b * c * a * b)^2, (a * c * b)^4, (a * b * c * a * c * b)^2, (b * c)^6, a * c * a * c * b * a * b * a * c * b * a * c * a * b * c ] NPH173.3 : Type {6,6,30} Order 540 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, b * c * b * a * b * a * c * a * b * a, (a * b)^6, (b * c)^6, c * a * c * a * c * a * c * a * c * a * c * a * c * b * a * c * a * b * c * a * c * a * c * a * b * c * a * c * a * c * a * c * a ] NPH173.4 : Type {6,6,30} Order 540 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * b * a * b * a * c * a * b * a, c * a * c * a * b * a * c * a * c * b, (a * b)^6, (b * c)^6, c * a * c * a * c * a * c * a * c * a * c * a * c * b * a * c * a * c * a * c * b * a * c * b * a * c * a * c * a * c * a * c * a ] NPH173.5 : Type {6,6,30} Order 540 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * b * a * b * a * c * a * b * a, (a * b)^6, b * c * a * b * a * b * a * c * b * c * a * c, (b * c)^6, c * a * c * a * c * a * c * a * c * a * c * a * c * b * a * c * a * b * c * a * c * a * c * b * a * c * a * c * a * c * a * c * a ] NPH173.6 : Type {6,6,30} Order 540 Defining relations for automorphism group: [ a^2, b^2, c^2, c * a * c * a * b * a * c * a * c * b, (a * b)^6, (b * c)^6, a * b * c * b * a * c * b * a * b * c * a * c * b * a * c ] NPH173.7 : Type {6,6,30} Order 540 Defining relations for automorphism group: [ a^2, b^2, c^2, c * a * c * a * b * a * c * a * c * b, (a * b)^6, (b * c)^6, c * a * c * b * a * c * b * a * c * a * b * c * b * a * b ] NPH174.1 : Type {10,10,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * b * c * a * b)^2, c * b * a * b * a * b * a * c * a * c * b * c * b ] NPH174.2 : Type {10,10,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, c * a * c * a * b * a * c * b * a * c * b, (a * b * c * b * a * c * b)^2 ] NPH174.3 : Type {10,10,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (b * c * a * c)^2, b * c * a * b * a * b * a * c * b * a * c * b * c, (a * b)^10 ] NPH174.4 : Type {10,10,12} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (b * c * a * c)^2, b * a * c * a * c * b * a * b * c * b * a * b * c, b * c * b * a * b * a * b * a * b * a * c * b * a * b * a * b * c * b * c ] NPH176.1 : Type {4,6,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, a * c * b * c * b * a * b * c * b * c, (b * c)^6, a * c * b * a * c * b * a * b * a * c * a * b * c * a * c * a * c ] NPH176.2 : Type {4,6,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (b * c)^6, c * b * c * b * a * b * a * c * b * c * b * a * b, (a * c * a * c * a * b * c * b)^2 ] NPH176.3 : Type {4,6,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * b * c * a * c)^2, (b * c)^6, b * a * c * a * c * a * b * a * c * b * a * b * c * a, b * c * a * c * a * c * b * a * b * c * b * c * a * c * a ] NPH176.4 : Type {4,6,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b)^4, (b * c)^6, c * a * b * c * b * c * b * a * c * a * c * a * c * a, a * b * a * c * b * a * b * a * c * a * b * a * b * c * b ] NPH176.5 : Type {4,6,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b)^4, (b * c)^6, c * a * b * c * b * c * b * a * c * a * c * a * c * a, a * b * a * c * b * a * b * a * c * a * b * a * c * b * c ] NPH176.6 : Type {4,6,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, c * b * a * b * c * b * a * c * b * c * a * b, (a * c * b * c)^3, c * a * b * c * b * c * b * a * c * a * c * a * c * a, a * c * b * a * c * a * b * a * c * b * a * c * a * c * b ] NPH176.7 : Type {4,6,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, c * b * a * b * c * b * a * c * b * c * a * b, (a * c * b * c)^3, c * a * b * c * b * c * b * a * c * a * c * a * c * a, a * c * b * a * c * b * a * b * a * c * b * c * a * c * a * c * b ] NPH177.1 : Type {10,10,10} Order 500 Defining relations for automorphism group: [ a^2, b^2, c^2, a * c * b * c * b * a * b * c * b * c, (a * b * c * b * a * b)^2, (b * a * c)^5 ] NPH177.2 : Type {10,10,10} Order 500 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * b * a * b * a * c * a * b * a, c * a * c * a * b * a * c * a * c * b, (b * a * c)^5 ] NPH177.3 : Type {10,10,10} Order 500 Defining relations for automorphism group: [ a^2, b^2, c^2, a * c * b * c * b * a * b * c * b * c, a * c * a * c * b * a * b * a * c * a * b * c * a * b, c * a * b * c * b * a * b * a * b * c * b * a * c * b, (b * a * c)^5 ] NPH177.4 : Type {10,10,10} Order 500 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, a * c * b * c * b * a * b * c * b * c, (b * a * c)^5 ] NPH177.5 : Type {10,10,10} Order 500 Defining relations for automorphism group: [ a^2, b^2, c^2, a * c * b * c * b * a * b * c * b * c, a * b * a * c * a * b * a * c * b * c * b * c, (b * a * c)^5 ] NPH178.1 : Type {4,4,24} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, c * a * c * a * c * a * b * a * c * a * c * a * c * b, b * a * c * b * a * c * b * a * c * a * c * a * c * a * c ] NPH178.2 : Type {4,4,24} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, c * a * c * a * c * a * b * a * c * a * c * a * c * b, (c * b * a * c * a)^3 ] NPH178.3 : Type {4,4,24} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, c * a * c * a * b * a * c * b * a * c * b, (a * c)^24 ] NPH178.4 : Type {4,4,24} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * b * c * a * b)^2, c * a * c * a * c * a * b * a * c * a * c * a * c * b, (a * c * b * a * c * b * a * b)^2, c * a * c * a * c * a * c * b * a * c * b * a * c * a * c * a * c * a * c * a * c * a * c * a * c * b * a ] NPH178.5 : Type {4,4,24} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, b * a * c * a * b * a * c * a * c * b * c, c * a * c * a * c * b * a * c * a * c * a * b * c * a * b * c * a * c * a * c * a * c * a * c * a * b * c * a ] NPH178.6 : Type {4,4,24} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * b * c * a * b)^2, (b * c * a * c * a * c)^2, (a * c * b * a * c * b * a * b)^2, c * a * c * b * a * c * a * c * b * a * c * a * c * a * c * a * c * a * c * a * b * c * a * c * a * c * a ] NPH178.7 : Type {4,4,24} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, b * a * c * a * b * a * c * a * c * b * c, (a * c * b * c * a * b)^2, (a * c)^24 ] NPH178.8 : Type {4,4,24} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (b * c * a * c * a * c)^2, b * a * b * c * a * b * a * c * b * a * c * b * c, c * a * c * a * c * a * c * b * a * c * a * c * b * a * c * a * c * a * c * a * c * a * c * a * b * c * a ] NPH178.9 : Type {4,4,24} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (b * c)^4, c * a * c * b * a * b * a * c * a * c * a * b * a, (a * c)^24 ] NPH178.10 : Type {4,4,24} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (b * c)^4, (a * c * a * b)^4, c * b * a * c * b * a * c * b * a * b * a * c * b * a * c * a * c * a * b * a, a * c * a * c * a * c * b * a * c * a * c * a * c * a * c * b * a * c * a * c * a * b * c * a * c * a * c ] NPH178.11 : Type {4,4,90} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (a * c)^90 ] NPH178.12 : Type {4,4,90} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c * a * c)^2, c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * b * c * a * b * c * a * b * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a ] NPH178.13 : Type {4,6,8} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, (b * c)^6, a * c * a * b * a * c * a * b * a * c * a * c * b * c * b * c ] NPH178.14 : Type {4,6,8} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, (b * c)^6, (a * c * a * c * b * a * b)^2, (a * c)^8 ] NPH178.15 : Type {4,6,8} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, c * a * c * a * c * b * a * b * c * b * a * b, (b * c)^6, (c * b * a * c * b)^3 ] NPH178.16 : Type {4,6,8} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b * a * b)^2, (b * c)^6, (a * c)^8, (b * c * a * c * a * c * a * c)^2, (b * c * a * c)^4, a * c * b * a * c * b * a * c * b * a * c * a * b * c * a * b * c * b, b * a * c * a * c * b * a * c * b * a * c * b * c * a * c * b * c * b * c ] NPH178.17 : Type {4,6,8} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b * a * b)^2, (b * c)^6, (a * c)^8, (b * c * a * c * a * c * a * c)^2, (b * c * a * c)^4, a * c * b * a * c * b * a * c * b * a * c * a * b * c * a * b * c * b, c * a * c * a * c * b * a * c * b * a * c * b * c * b * a * c * b * c * b ] NPH178.18 : Type {4,6,8} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^6, a * b * a * c * b * a * b * a * c * a * b * a * c * a * c, a * c * a * c * a * c * b * a * b * c * b * c * a * c * b ] NPH178.19 : Type {4,6,8} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, b * c * b * a * b * a * c * b * c * a * c, (b * c)^6, b * c * b * a * c * a * c * b * a * c * a * b * c * a * c * a ] NPH178.20 : Type {4,6,8} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, b * c * b * a * b * a * c * b * c * a * c, (b * c)^6, (a * c * a * c * b * a * c * b)^2 ] NPH178.21 : Type {4,6,8} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * b * c * b * c * b)^2, (b * c)^6, a * b * c * b * a * b * a * c * b * a * c * a * c ] NPH178.22 : Type {4,6,8} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^6, a * b * a * c * b * a * b * a * c * a * b * a * c * a * c, c * a * c * b * a * c * b * a * b * c * a * c * a * c * b ] NPH178.23 : Type {4,6,8} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^6, b * a * c * b * a * b * a * c * a * b * c * a * c ] NPH178.24 : Type {4,6,8} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (b * c)^6, c * b * c * b * a * b * a * c * b * c * b * a * b, (a * c)^8, c * a * c * a * b * a * c * a * b * a * c * a * c * a * b * c * b * a ] NPH178.25 : Type {4,6,8} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * c * a * b)^2, (b * c)^6, b * c * b * c * a * c * b * a * c * a * b * c * a * c, (c * b * a * c * b)^3 ] NPH178.26 : Type {4,6,8} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (b * c)^6, c * b * a * c * b * a * b * a * c * a * b * c * b * a * b ] NPH178.27 : Type {4,6,8} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (b * c)^6, c * b * c * b * a * b * a * c * b * c * b * a * b, (a * c)^8, (a * c * b * a * c * a * c * a * b)^2 ] NPH178.28 : Type {4,6,8} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * c * a * b)^2, (b * c)^6, (a * c * b * c * a * c * b)^2, c * a * b * c * b * a * b * a * c * b * a * c * b * a * b ] NPH178.29 : Type {4,6,8} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * c * a * b)^2, (b * c)^6, (a * c * b * c * a * c * b)^2, (a * c)^8, c * a * b * a * c * b * a * b * a * c * a * b * a * c * b * a * b ] NPH178.30 : Type {4,6,52} Order 624 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (a * c * a * c * a * b)^2, (b * c)^6, c * b * a * b * c * a * b * a * c * b * a * b * c * b, a * b * c * a * c * a * c * a * c * a * c * b * a * c * a * b * c * a * c * a * c * a * c * a * c * a * c * a * c ] NPH178.31 : Type {8,8,60} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (b * c * a * c)^2, (a * b * c * b * a * b)^2, c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * b * c * a * b * c * a * b * c * a * c * a * c * a * c * a * c * a ] NPH178.32 : Type {8,8,60} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (b * c * a * c)^2, (a * b * c * b * a * b)^2, c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * b * c * a * c * a * b * c * b * a * c * a * c * a * c * a * c * a ] NPH182.1 : Type {3,4,6} Order 1440 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * c)^4, (a * c)^6, a * c * a * c * a * b * c * b * a * c * a * c * a * b * c * b * c, (c * a * b * a * c * a)^3, (a * c * a * c * b * c * a * c * b)^2 ] NPH182.2 : Type {4,4,4} Order 1440 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c)^4, (b * c)^4, (b * a * c)^5, (a * c * b * a * b * c * a * b)^2 ] NPH182.3 : Type {4,4,4} Order 1440 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c)^4, (b * c)^4, a * c * a * b * c * b * a * c * a * b * c * b * c, (a * c * b * a * b * c * a * b)^2 ] NPH182.4 : Type {4,6,12} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^6, b * a * b * c * b * a * b * a * c * b * a * b * c * b * c, c * a * c * b * a * c * b * a * c * a * c * b * a * c * a ] NPH182.5 : Type {4,8,8} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, b * c * b * a * c * a * b * a * c * a * b * c * b * a, a * b * c * a * c * a * b * a * c * b * c * a * c * a * c ] NPH182.6 : Type {4,8,8} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * b)^4, a * b * a * c * b * a * b * a * c * a * b * a * b * c * b, b * c * b * c * b * c * b * a * c * a * c * a * c * a * c, c * b * c * b * a * c * a * b * a * c * a * b * c * b * c * a ] NPH182.7 : Type {4,9,12} Order 648 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * b * c * b)^2, a * c * a * c * b * a * b * a * c * a * c * a * c * a * c, c * b * a * c * b * c * b * a * c * a * b * c * b * c * b, (c * a * c * b * c * a)^3 ] NPH182.8 : Type {4,9,12} Order 648 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (a * b * a * c)^3, c * a * b * c * b * a * b * a * c * b * a * c * b * a * b ] NPH182.9 : Type {5,10,10} Order 600 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^5, (a * c * a * b * a * b)^2, (b * c * a * c * a * c)^2, (b * a * c)^5 ] NPH182.10 : Type {6,6,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * b * a * c * a * c * a * c, (a * c * b * c * a * b)^2 ] NPH182.11 : Type {6,6,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * c)^6, (b * c)^6, b * a * c * b * a * b * a * c * b * a * c * a * c, a * c * b * c * b * c * b * a * b * c * b * c * b * c ] NPH182.12 : Type {6,6,6} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * c)^6, (b * c)^6, a * c * b * c * b * c * b * a * b * c * b * c * b * c, c * b * a * c * b * a * b * a * b * c * b * c * a * c * a ] NPH182.13 : Type {6,6,15} Order 600 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (b * c)^6, b * a * c * b * a * b * a * c * b * a * c * b * c, c * a * c * a * c * a * b * a * c * a * c * a * c * b, c * a * c * b * a * c * b * a * c * a * b * c * a * b ] NPH182.14 : Type {6,8,12} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (a * b)^6, (a * b * c * b * a * b)^2, a * c * b * c * a * c * a * c * b * c * b * c * b * c * a * c ] NPH182.15 : Type {10,10,20} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b * c * b * a * b)^2, (a * c * a * c * a * b)^2, (a * b * c * b * c * b)^2, b * a * c * b * a * b * a * c * b * c * b * a * c, (c * b * a * c * a)^3 ] NPH182.16 : Type {10,10,20} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, a * c * a * c * b * a * b * c * b * a * c, c * b * a * b * a * b * a * b * a * c * b * c * b * c * a * b * a ] NPH184.1 : Type {3,4,4} Order 2184 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * c)^4, (b * c)^4, b * c * b * a * c * a * b * c * b * a * c * a * b * c * b * a * c * a * c, (b * a * c)^7 ] NPH184.2 : Type {4,4,93} Order 744 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (c * a)^93 ] NPH184.3 : Type {6,6,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * c * b * c * a * b)^2, (a * b * c * b * c * b)^2, (b * c)^6, c * b * c * b * c * b * a * c * a * c * a * c * a, (a * c * b * a * b * a * b)^2 ] NPH184.4 : Type {6,6,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * c * b * c * a * b)^2, (a * b * c * b * c * b)^2, (b * c)^6, (a * c * b * a * b * a * b)^2, a * c * a * c * b * a * b * a * c * b * c * b * c * a * c ] NPH184.5 : Type {6,6,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, c * b * a * c * b * a * b * c * b * c * a, (a * b)^6, (b * c)^6, a * c * a * b * c * b * a * b * a * c * a * b * a * b * c * b ] NPH184.6 : Type {6,6,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (a * b)^6, (a * b * c * a * c * b)^2, a * c * a * b * c * b * a * b * a * c * a * b * a * b * c * b ] NPH184.7 : Type {6,6,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * b)^6, (b * c)^6, a * c * b * c * b * c * b * a * b * c * b * c * b * c, b * c * a * c * a * c * b * a * c * a * c * a * c * a * c ] NPH184.8 : Type {6,6,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * b)^6, (b * c)^6, a * c * b * c * b * c * b * a * b * c * b * c * b * c, c * b * a * c * a * c * b * a * c * a * c * a * c * a * b ] NPH184.9 : Type {6,6,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * c * a * b * a * b)^2, (a * c * a * b * c * b)^2, (b * c * a * c * a * c)^2, (b * c)^6, c * b * a * c * a * b * a * c * a * c * a * c * a, a * c * b * c * b * c * b * a * b * c * b * c * b * c ] NPH184.10 : Type {6,6,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * c * a * b * a * b)^2, (a * c * a * b * c * b)^2, (b * c * a * c * a * c)^2, (b * c)^6, a * c * b * c * b * c * b * a * b * c * b * c * b * c, c * a * c * a * c * a * b * a * c * a * c * b * c * b * a ] NPH185.1 : Type {6,10,18} Order 540 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * b * a * b * a * c * a * b * a, c * a * c * a * b * a * c * a * c * b, (a * b)^6, (b * c)^10, a * b * c * a * c * a * c * a * c * a * c * a * b * c * a * b * c * a * b * c * b * a * c ] NPH186.1 : Type {4,4,25} Order 800 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (b * c)^4, c * b * a * c * b * a * b * a * c * b * a * c * a * b * a, (c * a)^25 ] NPH186.2 : Type {4,4,25} Order 800 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * a * c * a * b)^2, (a * c * b * c * a * b)^2, (b * c * a * c * a * c)^2, b * a * c * b * a * b * a * c * b * a * c * b * c, (c * a)^25 ] NPH186.3 : Type {4,5,6} Order 960 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (c * b)^5, (c * b * a * b)^3, (a * c)^6, (b * c * a * c * a * c)^2, (b * a * c)^5 ] NPH186.4 : Type {4,8,20} Order 640 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, b * a * c * b * a * c * b * a * c * a * c * b * a * b * c, (b * c * a * c * a * c * a * c)^2 ] NPH186.5 : Type {4,8,20} Order 640 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c * a * c * a * c * a * c)^2, (b * c)^8, b * c * a * c * b * a * c * b * a * c * a * c * b * a * c * b * c ] NPH186.6 : Type {4,8,20} Order 640 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (a * b * c * b * c * b)^2, b * a * c * b * a * c * b * a * b * c * b * a * c * a * c ] NPH186.7 : Type {4,8,20} Order 640 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (a * b * c * b * c * b)^2, (b * a * c)^5, c * b * a * c * a * c * b * a * b * c * b * a * c * a * b ] NPH186.8 : Type {8,8,9} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * b * c * a * b)^2, c * a * c * b * a * b * a * b * c * b * a * c * b, c * b * a * c * a * b * a * c * b * a * b * c * b, c * a * b * a * b * a * b * a * c * b * c * b * c * b, (c * a)^9 ] NPH186.9 : Type {8,8,9} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, c * a * c * a * b * a * c * b * a * c * b, c * a * b * a * b * a * b * a * c * b * c * b * c * b, (c * a)^9 ] NPH186.10 : Type {8,12,40} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (a * c * a * c * a * b)^2, a * b * c * b * a * c * b * a * b * c * a * c * a * b * c ] NPH186.11 : Type {8,12,40} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (a * c * a * c * a * b)^2, c * a * c * a * c * b * a * c * a * b * c * b * a ] NPH190.1 : Type {4,4,96} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (a * c)^96 ] NPH190.2 : Type {4,4,96} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c * a * c)^2, a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * b * c * a * b * c * a * b * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c ] NPH190.3 : Type {12,12,20} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (a * c * a * c * a * b)^2, (b * c * a * c * a * c)^2, b * c * b * a * b * a * b * a * c * a * b * a * b * a ] NPH190.4 : Type {12,12,20} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * c * a * b)^2, (b * c * a * c * a * c)^2, b * a * c * b * a * b * a * c * a * b * c * b * a ] NPH191.1 : Type {3,6,8} Order 1008 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * a * c)^3, (b * c)^6, (a * c)^8, b * c * a * c * a * c * b * c * b * a * c * a * c * a * c * a * c * b * c ] NPH191.2 : Type {4,5,5} Order 1080 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (c * a)^5, (c * b)^5, (a * b * a * c)^3, (c * b * a * b)^3, b * c * b * c * a * c * b * a * b * a * c * a * c * b * c * b * a * c * a ] NPH191.3 : Type {4,8,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, c * a * b * c * a * b * a * c * b * a * c * a, b * c * b * c * a * c * b * a * b * c * b * c * b * c * a ] NPH191.4 : Type {4,8,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * c * a * b)^2, (a * c * b)^4, (b * c * b * c * a * c)^2, a * b * a * c * b * a * b * a * c * a * b * a * b * c * b, a * c * b * a * c * a * c * b * a * c * b * c * b * a * b * c ] NPH191.5 : Type {4,8,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * b * c * b)^2, c * a * c * b * a * b * a * c * a * c * a * c * a, a * c * b * a * c * a * b * a * c * a * b * c * b * c * b ] NPH191.6 : Type {4,8,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, b * c * b * a * b * a * c * b * c * b * c, (a * c * b * c)^3, a * c * a * c * b * a * c * a * c * b * a * c * a * c * a * c * a * b * c * b ] NPH191.7 : Type {6,6,12} Order 648 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * b)^6, (a * b * c * b * c * b)^2, (b * c * a * c * a * c)^2, c * b * a * c * a * c * b * a * c * a * c * a * c * a * b ] NPH192.1 : Type {6,10,10} Order 600 Defining relations for automorphism group: [ a^2, b^2, c^2, a * c * b * c * b * a * b * c * b * c, (a * b)^6, (a * c * a * b * a * b)^2, (b * a * c)^5, b * a * c * a * b * c * a * b * a * c * b * a * c * a * b * c ] NPH194.1 : Type {4,4,6} Order 1152 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * a * b * c * b)^2, (a * c)^6, c * b * a * c * b * c * b * a * b * c * b * c * a * c * b, (a * c * a * b)^4, (a * b * c * a * c * a * c * b)^2 ] NPH194.2 : Type {4,4,6} Order 1152 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (a * c * b)^4, (a * c * a * b * c * b)^2, (a * c)^6, c * b * a * c * b * c * b * a * b * c * b * c * a * c * b ] NPH194.3 : Type {4,4,6} Order 1152 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, b * c * b * a * c * b * a * c * a * b * c * a, (a * c)^6, (a * c * b * a * b * c)^3, a * c * b * c * b * a * c * a * b * a * c * b * a * b * c * a * b * a * c ] NPH194.4 : Type {5,5,5} Order 960 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^5, (c * a)^5, (c * b)^5, (a * b * a * c)^3, (a * b * c * b * c * b)^2, (b * a * c)^5 ] NPH194.5 : Type {5,6,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^5, (a * c * b)^4, (b * c)^6, c * a * b * c * b * c * b * a * c * a * c * a * c * a, a * c * a * c * b * a * b * a * c * a * c * b * c * a * b ] NPH194.6 : Type {5,6,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^5, (a * c * b)^4, (b * c)^6, c * a * b * c * b * c * b * a * c * a * c * a * c * a, a * c * a * c * b * a * b * a * c * a * b * c * b * a * b ] NPH194.7 : Type {6,8,24} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (b * a * c)^3, (a * b)^6, (b * c)^8 ] NPH194.8 : Type {6,8,24} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (a * b)^6, (b * c * a * c * a * c)^2, c * b * c * a * c * a * b * a * c * a * c * b * c * b, c * b * a * b * c * b * a * b * a * b * c * b * a * b * c * b ] NPH196.1 : Type {4,4,99} Order 792 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (c * a)^99 ] NPH197.1 : Type {3,6,7} Order 1092 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (a * b * a * c)^3, (b * c)^6, (c * a)^7, (c * b * a * c * a)^3 ] NPH197.2 : Type {3,6,7} Order 1092 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^3, (b * a * c)^3, (b * c)^6, (c * a)^7 ] NPH197.3 : Type {6,6,34} Order 612 Defining relations for automorphism group: [ a^2, b^2, c^2, b * c * b * a * b * a * c * a * b * a, c * a * c * a * b * a * c * a * c * b, (a * b)^6, (b * c)^6, c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * b * c * a * b * c * a * b * c * a * c * a * c * a * c * a * c * a * c * a ] NPH198.1 : Type {6,8,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * c * b)^4, (a * c * b * a * b * a * b)^2, c * a * b * a * c * a * b * a * c * a * c * b * a * c * b ] NPH198.2 : Type {6,8,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * c * b)^4, (a * c * b * a * b * a * b)^2, a * b * c * a * c * a * b * a * c * b * a * b * c * b * c ] NPH198.3 : Type {6,8,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * c * b)^4, (b * c * a * c * a * c)^2, c * b * a * b * c * b * a * c * a * c * b * c * b ] NPH198.4 : Type {6,8,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * c * b)^4, (b * c * a * c * a * c)^2, c * a * b * c * a * b * a * c * b * c * b * c * a, (a * c * b * a * b * a * b)^2 ] NPH198.5 : Type {6,8,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * c * b * c * a * b)^2, (a * b * c * b * c * b)^2, (b * c * a * c * a * c)^2, c * b * c * b * c * b * a * c * b * c * a * c * b, (a * c * b * a * b * a * b)^2, (a * c * a * c * a * b * c * b)^2 ] NPH198.6 : Type {6,8,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * c * b * c * a * b)^2, (a * b * c * b * c * b)^2, (b * c * a * c * a * c)^2, (a * c * b * a * b * a * b)^2, a * c * b * c * b * a * b * a * c * b * c * b * c * b * c, (a * c * a * c * a * b * c * b)^2 ] NPH198.7 : Type {6,8,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (a * b)^6, (a * c * b * a * b * a * b)^2, c * b * a * c * a * c * b * a * b * c * a * c * a * c * a, b * a * b * c * b * c * b * a * c * b * c * b * c * b * c ] NPH198.8 : Type {6,8,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * b * c * b)^2, (a * b)^6, (a * c)^8, (b * c * a * c)^4, c * a * c * b * c * a * c * a * c * b * a * c * a * c * a * c * a * c * b * c * a ] NPH198.9 : Type {6,8,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * b * c * b)^2, (a * b)^6, (a * c)^8, c * b * c * a * c * b * a * b * a * c * b * c * a * c * b * c * a ] NPH198.10 : Type {6,8,8} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * b * c * b)^2, (a * b)^6, b * c * a * c * b * c * b * a * c * a * c * b * c * a * c, (a * c)^8 ] NPH198.11 : Type {12,20,20} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (b * a * c)^3, b * c * b * a * b * a * b * a * c * a * b * a * b * a ] NPH198.12 : Type {12,20,20} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, b * a * c * b * a * b * a * c * a * b * c * b * a ] NPH198.13 : Type {12,20,20} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * b * c * b)^2, (b * a * c)^5, (b * c * a * c * a * c * a * c)^2 ] NPH198.14 : Type {12,20,20} Order 480 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (a * b * c * b)^2, a * c * b * c * b * a * c * a * c * b * c ] NPH200.1 : Type {4,4,5} Order 1320 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (c * a)^5, (a * c * a * c * a * b)^2, a * c * a * b * c * b * a * b * a * c * b * c * a * b * a * c * b ] NPH200.2 : Type {4,4,5} Order 1320 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (c * a)^5, (c * b * a * b)^3, c * a * c * a * b * a * c * a * b * a * c * a * c * b * c * a * c * b, c * b * c * b * a * c * b * a * b * a * c * b * a * c * a * c * a * b * a ] NPH200.3 : Type {4,4,5} Order 1320 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (c * a)^5, (a * c * a * c * a * b)^2, (a * c * b)^6, a * b * a * c * b * c * b * a * b * a * c * b * c * a * b * a * c * b * c ] NPH200.4 : Type {4,4,5} Order 1320 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, (c * a)^5, (b * a * c)^5, (c * b * a * c * a)^3 ] NPH200.5 : Type {4,6,30} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, a * c * b * c * b * a * b * c * b * c, (a * c * a * c * a * b)^2, (b * c)^6, c * a * c * a * c * a * c * a * c * a * c * a * c * b * a * c * a * b * c * a * c * a * c * a * c * a * c * a * b * c * a * c * a ] NPH200.6 : Type {4,6,30} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, c * a * c * a * b * a * c * a * c * b, (a * b * c * b * c * b)^2, (b * c)^6, c * a * c * a * c * a * c * a * c * a * c * a * c * b * a * c * a * c * a * c * b * a * c * b * a * c * a * c * a * c * a * c * a ] NPH200.7 : Type {4,10,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, a * c * a * c * b * a * b * a * c * a * c * a * b * c * b, (b * c * a * c)^4 ] NPH200.8 : Type {4,10,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, a * c * a * c * b * a * b * a * c * b * c * b * a * b, (b * c * a * c * a * c * a * c)^2 ] NPH200.9 : Type {4,10,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c * a * c)^2, (a * c * b)^4, a * b * a * c * b * a * b * a * c * a * b * a * b * c * b, b * a * c * b * a * b * c * a * b * a * c * b * c * b * a * c * b * c ] NPH200.10 : Type {4,10,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, b * c * a * c * b * a * c * b * c * a, (b * c * a * c * a * c)^2, a * b * c * b * a * c * a * b * a * c * b * c * b * c * b * a * c ] NPH200.11 : Type {4,10,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, b * c * a * b * c * a * b * a * c * b * a * c * b * a, c * a * c * a * c * a * b * a * c * b * c * b * a * c * b ] NPH200.12 : Type {4,10,10} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, b * c * b * a * c * b * a * c * a * c * b * a * c, b * c * a * b * c * a * b * a * c * b * a * c * b * a ] NPH200.13 : Type {5,8,8} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * a * b)^2, (b * a)^5, (a * c * b * c)^3, b * c * b * c * a * c * b * a * b * c * b * c * a * b * c ] NPH200.14 : Type {5,8,8} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a * c)^3, (b * a)^5, (a * b * c * b * c * b)^2, b * c * a * c * a * b * a * b * a * c * a * c * b * c * b * c ] NPH200.15 : Type {5,8,8} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (b * a)^5, (a * c * a * b * a * b)^2, (b * a * c)^5 ] NPH200.16 : Type {5,8,8} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^5, (a * c * b * c * a * b)^2, (a * b * c * a * c * b)^2, (a * b * a * c * b)^3 ] NPH200.17 : Type {5,8,8} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^5, b * c * a * c * b * a * c * b * c * a, (b * c * a * c * a * c)^2, (a * c * b * a * b * c * a * b)^2, c * b * a * c * a * b * a * b * a * c * b * a * c * a * b * a * b ] NPH200.18 : Type {5,8,8} Order 720 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * a)^5, (a * c * a * b * a * b)^2, c * a * c * a * c * a * b * a * c * b * c * a * c * a * b ] NPH202.1 : Type {4,4,27} Order 864 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * c)^4, c * a * c * a * b * a * c * b * a * c * b, (c * a)^27 ] NPH202.2 : Type {4,4,102} Order 816 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * c * b * c, (a * c)^102 ] NPH202.3 : Type {4,4,102} Order 816 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (a * c * a * b)^2, (b * c * a * c)^2, c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * b * c * a * b * c * a * b * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a * c * a ] NPH202.4 : Type {4,6,16} Order 768 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^4, (b * a * c)^3, (b * c)^6, (a * c * a * c * b * a * b)^2, c * a * c * a * c * a * c * a * c * b * a * b * c * a * c * a * c * b * a * b ] NPH202.5 : Type {6,6,14} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, b * a * b * a * b * a * c * b * c * b * c, (a * c * b)^4 ] NPH202.6 : Type {6,6,14} Order 672 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * b)^6, (a * c * a * b * a * b)^2, (a * c * b)^4, (b * c * b * c * a * c)^2, (b * c)^6, (c * b * a * c * a)^3 ] NPH202.7 : Type {6,10,15} Order 600 Defining relations for automorphism group: [ a^2, b^2, c^2, c * a * c * a * b * a * c * b * a * c * b, (a * b)^6, (a * b * c * b * c * b)^2, c * a * b * c * b * a * c * b * a * b * c * a * c * b * a * b ] NPH202.8 : Type {8,8,18} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (a * c * b * c * a * b)^2, c * a * c * b * a * b * a * b * c * b * a * c * b, c * b * a * c * a * b * a * c * b * a * b * c * b, c * a * b * a * b * a * b * a * c * b * c * b * c * b, a * c * a * c * b * a * c * b * a * c * b * a * c * a * c * a * c * a * c * a * c ] NPH202.9 : Type {8,8,18} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, c * a * c * a * b * a * c * b * a * c * b, c * a * b * a * b * a * b * a * c * b * c * b * c * b, a * c * a * c * b * a * b * c * a * c * a * c * a * c * a * c * a * c * b * a * b * c ] NPH202.10 : Type {8,8,18} Order 576 Defining relations for automorphism group: [ a^2, b^2, c^2, (b * c * a * c)^2, (a * b * c * b * a * b)^2, c * b * c * a * b * a * b * a * c * b * c * b * a * b, b * a * c * a * c * a * b * a * c * b * a * b * c * a, a * c * a * c * b * a * c * b * a * c * b * a * c * a * c * a * c * a * c * a * c ] Total number of proper hypermaps in list above: 713