Groups with symmetric genus 2 to 32
...................................

The symmetric genus of a finite group G is the smallest genus of all 
the compact Riemann surfaces on which G acts faithfully as a group of 
automorphisms (as defined by Tom Tucker in the 1980s).

The list below gives all the finite groups that have symmetric genus 
between 2 and 32 inclusive, together with the signature types for the 
action(s) of the group on compact Riemann surfaces of the corresponding 
genus.

The notation "Order n # k" stands for the kth group of order n in the 
"Small Groups Database" available in GAP and MAGMA.  Note: the groups of 
order 512, 1024, 1536 or greater than 2000 do not have such labels here.

This list was created with the help of the MAGMA system, in December 2009.

Marston Conder
June 2013


...........................................................................

Groups with symmetric genus 2
Group of order 24 # 3 acting with signature (0;+;[3,3,4];{-})
Group of order 48 # 29 acting with signature (0;+;[2,3,8];{-})
  ... and with signature (0;+;[-];{(3,3,4)})
Group of order 48 # 33 acting with signature (0;+;[3];{(4)})
Group of order 96 # 193 acting with signature (0;+;[-];{(2,3,8)})
Number of different groups of symmetric genus 2 = 4

...........................................................................

Groups with symmetric genus 3
Group of order 48 # 49 acting with signature (0;+;[6];{(2)})
Group of order 96 # 226 acting with signature (0;+;[-];{(2,4,6)})
Group of order 168 # 42 acting with signature (0;+;[2,3,7];{-})
Group of order 336 # 208 acting with signature (0;+;[-];{(2,3,7)})
Number of different groups of symmetric genus 3 = 4

...........................................................................

Groups with symmetric genus 4
Group of order 120 # 34 acting with signature (0;+;[2,4,5];{-})
  ... and with signature (0;+;[5];{(2)})
Group of order 240 # 189 acting with signature (0;+;[-];{(2,4,5)})
Number of different groups of symmetric genus 4 = 2

...........................................................................

Groups with symmetric genus 5
Group of order 16 # 12 acting with signature (0;+;[4,4];{(1)})
Group of order 32 # 2 acting with signature (0;+;[4,4,4];{-})
Group of order 32 # 22 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 32 # 30 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 32 # 37 acting with signature (0;+;[-];{(1),(2)})
Group of order 32 # 40 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 32 # 48 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 32 # 51 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 48 # 30 acting with signature (0;+;[3,4,4];{-})
Group of order 48 # 31 acting with signature (1;-;[2,3];{-})
Group of order 64 # 4 acting with signature (0;+;[8];{(2)})
Group of order 64 # 8 acting with signature (0;+;[2,4,8];{-})
  ... and with signature (0;+;[4];{(4)})
Group of order 64 # 73 acting with signature (0;+;[-];{(4,4,4)})
Group of order 64 # 202 acting with signature (0;+;[-];{(2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,4)})
Group of order 64 # 215 acting with signature (0;+;[-];{(2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,4)})
Group of order 64 # 254 acting with signature (0;+;[-];{(2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,4)})
Group of order 80 # 49 acting with signature (0;+;[2,5,5];{-})
Group of order 96 # 3 acting with signature (0;+;[3,3,4];{-})
Group of order 96 # 186 acting with signature (0;+;[4];{(3)})
Group of order 96 # 187 acting with signature (0;+;[2];{(2,3)})
Group of order 96 # 195 acting with signature (0;+;[2,4,6];{-})
  ... and with signature (0;+;[-];{(3,4,4)})
Group of order 96 # 197 acting with signature (0;+;[6];{(2)})
Group of order 128 # 327 acting with signature (0;+;[-];{(2,4,8)})
Group of order 160 # 234 acting with signature (0;+;[2,4,5];{-})
  ... and with signature (0;+;[-];{(2,5,5)})
Group of order 160 # 235 acting with signature (0;+;[5];{(2)})
Group of order 192 # 181 acting with signature (0;+;[2,3,8];{-})
  ... and with signature (0;+;[-];{(3,3,4)})
Group of order 192 # 194 acting with signature (0;+;[3];{(4)})
Group of order 192 # 1472 acting with signature (0;+;[-];{(2,4,6)})
Group of order 240 # 190 acting with signature (0;+;[-];{(2,3,10)})
Group of order 320 # 1636 acting with signature (0;+;[-];{(2,4,5)})
Group of order 384 # 5573 acting with signature (0;+;[-];{(2,3,8)})
Number of different groups of symmetric genus 5 = 32

...........................................................................

Groups with symmetric genus 6
Group of order 36 # 3 acting with signature (0;+;[2,9,9];{-})
Group of order 72 # 15 acting with signature (0;+;[2,4,9];{-})
  ... and with signature (0;+;[-];{(2,9,9)})
Group of order 72 # 16 acting with signature (0;+;[9];{(2)})
Group of order 144 # 109 acting with signature (0;+;[-];{(2,4,9)})
Number of different groups of symmetric genus 6 = 4

...........................................................................

Groups with symmetric genus 7
Group of order 27 # 4 acting with signature (0;+;[3,9,9];{-})
Group of order 32 # 10 acting with signature (0;+;[4,4,8];{-})
Group of order 32 # 13 acting with signature (0;+;[4,4,8];{-})
Group of order 32 # 44 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 48 # 32 acting with signature (0;+;[3,4,6];{-})
Group of order 54 # 6 acting with signature (0;+;[2,6,9];{-})
Group of order 56 # 11 acting with signature (0;+;[2,7,7];{-})
Group of order 64 # 30 acting with signature (0;+;[16];{(2)})
Group of order 64 # 41 acting with signature (0;+;[2,4,16];{-})
  ... and with signature (0;+;[4];{(8)})
Group of order 64 # 130 acting with signature (0;+;[-];{(4,4,8)})
Group of order 64 # 150 acting with signature (0;+;[-];{(4,4,8)})
Group of order 64 # 256 acting with signature (0;+;[-];{(2,2,8,2)})
  ... and with signature (0;+;[-];{(2,2,2,8)})
Group of order 72 # 25 acting with signature (0;+;[3,3,6];{-})
Group of order 96 # 189 acting with signature (0;+;[-];{(3,4,6)})
Group of order 112 # 41 acting with signature (0;+;[7];{(2)})
Group of order 128 # 922 acting with signature (0;+;[-];{(2,4,16)})
Group of order 144 # 122 acting with signature (0;+;[3];{(6)})
Group of order 144 # 125 acting with signature (0;+;[-];{(3,3,6)})
Group of order 144 # 127 acting with signature (0;+;[2,3,12];{-})
Group of order 288 # 847 acting with signature (0;+;[-];{(2,3,12)})
Group of order 504 # 156 acting with signature (0;+;[2,3,7];{-})
Group of order 1008 # 880 acting with signature (0;+;[-];{(2,3,7)})
Number of different groups of symmetric genus 7 = 22

...........................................................................

Groups with symmetric genus 8
Group of order 42 # 2 acting with signature (0;+;[3,6,6];{-})
  ... and with signature (0;+;[3,3];{(1)})
  ... and with signature (1;-;[3,3];{-})
Group of order 48 # 28 acting with signature (0;+;[3,4,8];{-})
Group of order 84 # 7 acting with signature (0;+;[2,6,6];{-})
  ... and with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 96 # 192 acting with signature (0;+;[-];{(3,4,8)})
Group of order 336 # 209 acting with signature (0;+;[-];{(3,3,4)})
  ... and with signature (0;+;[3];{(4)})
Group of order 672 # 1254 acting with signature (0;+;[-];{(2,3,8)})
Number of different groups of symmetric genus 8 = 6

...........................................................................

Groups with symmetric genus 9
Group of order 32 # 4 acting with signature (0;+;[4,8,8];{-})
  ... and with signature (1;-;[4,4];{-})
  ... and with signature (1;+;[2];{-})
  ... and with signature (2;-;[2];{-})
Group of order 32 # 8 acting with signature (0;+;[4,8,8];{-})
  ... and with signature (1;-;[4,4];{-})
  ... and with signature (1;+;[2];{-})
  ... and with signature (2;-;[2];{-})
Group of order 32 # 21 acting with signature (0;+;[4,4];{(1)})
Group of order 32 # 23 acting with signature (0;+;[4,4];{(1)})
Group of order 32 # 24 acting with signature (0;+;[4,4];{(1)})
Group of order 32 # 29 acting with signature (0;+;[4,4];{(1)})
Group of order 32 # 31 acting with signature (0;+;[2,2,4,4];{-})
  ... and with signature (0;+;[2,4,2,4];{-})
  ... and with signature (0;+;[4];{(4,4)})
  ... and with signature (0;+;[2,4];{(2)})
  ... and with signature (0;+;[-];{(2),(2)})
Group of order 32 # 41 acting with signature (0;+;[4,4];{(1)})
Group of order 32 # 45 acting with signature (0;+;[4];{(2,2,2)})
  ... and with signature (0;+;[-];{(2,2),(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 32 # 50 acting with signature (0;+;[-];{(4,4,4,4)})
  ... and with signature (0;+;[2,2,2,2,2];{-})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 48 # 19 acting with signature (0;+;[4,4,6];{-})
Group of order 48 # 39 acting with signature (0;+;[2,6];{(1)})
  ... and with signature (0;+;[-];{(1),(3)})
Group of order 48 # 50 acting with signature (0;+;[2,2,3,3];{-})
  ... and with signature (0;+;[2,3,2,3];{-})
Group of order 64 # 10 acting with signature (0;+;[2,8,8];{-})
  ... and with signature (0;+;[8];{(4)})
  ... and with signature (1;-;[2,4];{-})
  ... and with signature (1;-;[-];{(2)})
Group of order 64 # 23 acting with signature (0;+;[4,4,4];{-})
Group of order 64 # 35 acting with signature (0;+;[4,4,4];{-})
Group of order 64 # 36 acting with signature (0;+;[2,8,8];{-})
  ... and with signature (0;+;[8];{(4)})
  ... and with signature (1;-;[2,4];{-})
  ... and with signature (1;-;[-];{(2)})
Group of order 64 # 60 acting with signature (0;+;[4];{(2,2)})
Group of order 64 # 67 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 64 # 87 acting with signature (0;+;[-];{(1),(2)})
Group of order 64 # 89 acting with signature (0;+;[-];{(1),(2)})
Group of order 64 # 90 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 64 # 92 acting with signature (0;+;[-];{(1),(2)})
Group of order 64 # 94 acting with signature (0;+;[-];{(1),(2)})
Group of order 64 # 95 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 64 # 97 acting with signature (0;+;[2,4];{(1)})
Group of order 64 # 99 acting with signature (0;+;[4];{(2,2)})
Group of order 64 # 101 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 64 # 102 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 64 # 116 acting with signature (0;+;[-];{(1),(2)})
Group of order 64 # 123 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 64 # 125 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 64 # 131 acting with signature (0;+;[4];{(2,2)})
Group of order 64 # 135 acting with signature (0;+;[2,2,4,2];{-})
  ... and with signature (0;+;[2,2,2,4];{-})
  ... and with signature (0;+;[-];{(4,8,8)})
  ... and with signature (0;+;[2];{(4,4)})
  ... and with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[2,2];{(2)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 64 # 136 acting with signature (0;+;[4];{(2,2)})
Group of order 64 # 144 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 64 # 146 acting with signature (0;+;[2,4];{(1)})
Group of order 64 # 152 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 64 # 177 acting with signature (0;+;[2,2,4,2];{-})
  ... and with signature (0;+;[2,2,2,4];{-})
  ... and with signature (0;+;[-];{(4,8,8)})
  ... and with signature (0;+;[2];{(4,4)})
  ... and with signature (0;+;[2,2];{(2)})
Group of order 64 # 184 acting with signature (0;+;[-];{(1),(2)})
Group of order 64 # 187 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 64 # 203 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 64 # 211 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 64 # 216 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 64 # 227 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 64 # 242 acting with signature (0;+;[-];{(2,4,2,4)})
Group of order 64 # 253 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 64 # 258 acting with signature (0;+;[-];{(2,2,4,4)})
  ... and with signature (0;+;[2];{(2,2,2)})
Group of order 64 # 261 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 64 # 264 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 64 # 266 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 96 # 13 acting with signature (0;+;[2,4,12];{-})
  ... and with signature (0;+;[4];{(6)})
Group of order 96 # 49 acting with signature (0;+;[12];{(2)})
Group of order 96 # 67 acting with signature (0;+;[3,4,4];{-})
Group of order 96 # 70 acting with signature (0;+;[2,6,6];{-})
  ... and with signature (0;+;[2,3];{(1)})
  ... and with signature (1;-;[2,3];{-})
Group of order 96 # 74 acting with signature (1;-;[2,3];{-})
Group of order 96 # 144 acting with signature (0;+;[-];{(4,4,6)})
Group of order 96 # 190 acting with signature (0;+;[6];{(3)})
Group of order 96 # 196 acting with signature (0;+;[12];{(2)})
Group of order 96 # 200 acting with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 96 # 201 acting with signature (0;+;[3];{(2,2)})
Group of order 96 # 202 acting with signature (0;+;[2,6,6];{-})
Group of order 96 # 211 acting with signature (0;+;[-];{(2,2,6,2)})
  ... and with signature (0;+;[-];{(2,2,2,6)})
Group of order 96 # 227 acting with signature (0;+;[3,4,4];{-})
  ... and with signature (0;+;[2,2,2,3];{-})
  ... and with signature (0;+;[2,2,3,2];{-})
  ... and with signature (0;+;[-];{(2,2,3,3)})
  ... and with signature (0;+;[-];{(2,3,2,3)})
  ... and with signature (0;+;[2];{(3,3)})
Group of order 96 # 229 acting with signature (0;+;[3];{(2,2)})
Group of order 128 # 48 acting with signature (0;+;[8];{(2)})
Group of order 128 # 75 acting with signature (0;+;[2,4,8];{-})
  ... and with signature (0;+;[4];{(4)})
Group of order 128 # 135 acting with signature (0;+;[8];{(2)})
Group of order 128 # 136 acting with signature (0;+;[2,4,8];{-})
  ... and with signature (0;+;[4];{(4)})
Group of order 128 # 138 acting with signature (0;+;[2,4,8];{-})
  ... and with signature (0;+;[4];{(4)})
Group of order 128 # 387 acting with signature (0;+;[-];{(2,8,8)})
  ... and with signature (0;+;[2];{(2,4)})
Group of order 128 # 753 acting with signature (0;+;[-];{(4,4,4)})
Group of order 128 # 931 acting with signature (0;+;[-];{(4,4,4)})
Group of order 128 # 934 acting with signature (0;+;[-];{(2,8,8)})
  ... and with signature (0;+;[2];{(2,4)})
Group of order 128 # 1135 acting with signature (0;+;[-];{(2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,4)})
Group of order 128 # 1728 acting with signature (0;+;[-];{(2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,4)})
Group of order 128 # 1740 acting with signature (0;+;[-];{(2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,4)})
Group of order 128 # 1746 acting with signature (0;+;[-];{(2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,4)})
Group of order 128 # 1753 acting with signature (0;+;[-];{(2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,4)})
Group of order 128 # 1755 acting with signature (0;+;[-];{(2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,4)})
Group of order 128 # 1996 acting with signature (0;+;[-];{(2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,4)})
Group of order 128 # 2020 acting with signature (0;+;[-];{(2,2,2,4)})
  ... and with signature (0;+;[-];{(2,2,4,2)})
Group of order 128 # 2144 acting with signature (0;+;[-];{(2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,4)})
Group of order 160 # 199 acting with signature (0;+;[2,5,5];{-})
Group of order 192 # 300 acting with signature (0;+;[-];{(2,4,12)})
Group of order 192 # 955 acting with signature (0;+;[2,4,6];{-})
  ... and with signature (0;+;[-];{(2,6,6)})
  ... and with signature (0;+;[-];{(2,2,3,2)})
  ... and with signature (0;+;[-];{(2,2,2,3)})
  ... and with signature (0;+;[4];{(3)})
  ... and with signature (0;+;[2];{(2,3)})
Group of order 192 # 964 acting with signature (0;+;[4];{(3)})
Group of order 192 # 966 acting with signature (0;+;[2];{(2,3)})
Group of order 192 # 988 acting with signature (0;+;[-];{(3,4,4)})
Group of order 192 # 990 acting with signature (0;+;[2,4,6];{-})
Group of order 192 # 1000 acting with signature (0;+;[6];{(2)})
Group of order 192 # 1018 acting with signature (0;+;[6];{(2)})
Group of order 192 # 1470 acting with signature (0;+;[-];{(2,4,12)})
Group of order 192 # 1481 acting with signature (0;+;[-];{(2,2,3,2)})
  ... and with signature (0;+;[-];{(2,2,2,3)})
Group of order 192 # 1484 acting with signature (0;+;[-];{(2,2,3,2)})
  ... and with signature (0;+;[-];{(2,2,2,3)})
Group of order 192 # 1485 acting with signature (0;+;[-];{(2,6,6)})
Group of order 192 # 1538 acting with signature (0;+;[-];{(3,4,4)})
  ... and with signature (0;+;[-];{(2,2,3,2)})
  ... and with signature (0;+;[-];{(2,2,2,3)})
Group of order 256 # 5078 acting with signature (0;+;[-];{(2,4,8)})
Group of order 256 # 6665 acting with signature (0;+;[-];{(2,4,8)})
Group of order 320 # 1582 acting with signature (0;+;[2,4,5];{-})
  ... and with signature (0;+;[-];{(2,5,5)})
Group of order 320 # 1586 acting with signature (0;+;[5];{(2)})
Group of order 384 # 17948 acting with signature (0;+;[-];{(2,4,6)})
Group of order 384 # 18046 acting with signature (0;+;[-];{(2,4,6)})
Group of order 640 # 21465 acting with signature (0;+;[-];{(2,4,5)})
Number of different groups of symmetric genus 9 = 104

...........................................................................

Groups with symmetric genus 10
Group of order 27 # 5 acting with signature (0;+;[3,3,3,3];{-})
Group of order 54 # 10 acting with signature (0;+;[3,6,6];{-})
  ... and with signature (0;+;[3,3];{(1)})
  ... and with signature (1;-;[3,3];{-})
Group of order 54 # 12 acting with signature (0;+;[3,6,6];{-})
  ... and with signature (0;+;[3,3];{(1)})
  ... and with signature (1;-;[3,3];{-})
Group of order 54 # 13 acting with signature (0;+;[2,2,3,3];{-})
  ... and with signature (0;+;[2,3,2,3];{-})
  ... and with signature (0;+;[3];{(3,3)})
Group of order 54 # 14 acting with signature (0;+;[-];{(3,3,3,3)})
Group of order 72 # 39 acting with signature (0;+;[2,8,8];{-})
  ... and with signature (1;-;[2,4];{-})
Group of order 72 # 41 acting with signature (0;+;[4,4,4];{-})
Group of order 81 # 7 acting with signature (0;+;[3,3,9];{-})
Group of order 108 # 15 acting with signature (0;+;[2,4,12];{-})
  ... and with signature (0;+;[3,4,4];{-})
  ... and with signature (1;-;[2,3];{-})
Group of order 108 # 25 acting with signature (0;+;[2,6,6];{-})
  ... and with signature (0;+;[6];{(3)})
  ... and with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 108 # 28 acting with signature (0;+;[-];{(3,6,6)})
  ... and with signature (0;+;[-];{(2,2,3,3)})
  ... and with signature (0;+;[2];{(3,3)})
Group of order 108 # 36 acting with signature (1;-;[2,3];{-})
Group of order 108 # 37 acting with signature (0;+;[3,4,4];{-})
Group of order 108 # 38 acting with signature (0;+;[2,6,6];{-})
  ... and with signature (0;+;[6];{(3)})
  ... and with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 108 # 39 acting with signature (0;+;[-];{(3,6,6)})
  ... and with signature (0;+;[-];{(2,2,3,3)})
  ... and with signature (0;+;[2];{(3,3)})
Group of order 108 # 40 acting with signature (0;+;[2,2,3,2];{-})
  ... and with signature (0;+;[2,2,2,3];{-})
  ... and with signature (0;+;[-];{(2,3,2,3)})
Group of order 144 # 182 acting with signature (0;+;[2,4,8];{-})
  ... and with signature (0;+;[4];{(4)})
Group of order 162 # 19 acting with signature (0;+;[-];{(3,3,9)})
Group of order 180 # 19 acting with signature (0;+;[2,3,15];{-})
Group of order 216 # 87 acting with signature (0;+;[2,4,6];{-})
  ... and with signature (0;+;[-];{(2,4,12)})
  ... and with signature (0;+;[-];{(3,4,4)})
  ... and with signature (0;+;[6];{(2)})
  ... and with signature (0;+;[2];{(2,3)})
Group of order 216 # 100 acting with signature (0;+;[4];{(3)})
Group of order 216 # 102 acting with signature (0;+;[-];{(2,6,6)})
  ... and with signature (0;+;[-];{(2,2,3,2)})
  ... and with signature (0;+;[-];{(2,2,2,3)})
Group of order 216 # 153 acting with signature (0;+;[3,3,4];{-})
Group of order 216 # 156 acting with signature (0;+;[4];{(3)})
Group of order 216 # 157 acting with signature (0;+;[6];{(2)})
Group of order 216 # 158 acting with signature (0;+;[2,4,6];{-})
  ... and with signature (0;+;[-];{(3,4,4)})
Group of order 216 # 159 acting with signature (0;+;[2];{(2,3)})
Group of order 216 # 162 acting with signature (0;+;[-];{(2,6,6)})
  ... and with signature (0;+;[-];{(2,2,3,2)})
  ... and with signature (0;+;[-];{(2,2,2,3)})
Group of order 324 # 160 acting with signature (0;+;[2,3,9];{-})
Group of order 360 # 118 acting with signature (0;+;[2,4,5];{-})
Group of order 360 # 121 acting with signature (0;+;[-];{(2,3,15)})
Group of order 432 # 530 acting with signature (0;+;[-];{(2,4,6)})
Group of order 432 # 734 acting with signature (0;+;[2,3,8];{-})
  ... and with signature (0;+;[-];{(3,3,4)})
Group of order 432 # 741 acting with signature (0;+;[-];{(2,4,6)})
Group of order 648 # 703 acting with signature (0;+;[-];{(2,3,9)})
Group of order 720 # 764 acting with signature (0;+;[-];{(2,4,5)})
Number of different groups of symmetric genus 10 = 36

...........................................................................

Groups with symmetric genus 11
Group of order 40 # 3 acting with signature (0;+;[4,8,8];{-})
Group of order 48 # 11 acting with signature (0;+;[4,4,12];{-})
Group of order 48 # 12 acting with signature (0;+;[4,4,12];{-})
Group of order 60 # 6 acting with signature (0;+;[2,12,12];{-})
Group of order 60 # 7 acting with signature (0;+;[4,4,6];{-})
Group of order 80 # 28 acting with signature (0;+;[2,8,8];{-})
Group of order 80 # 29 acting with signature (0;+;[2,8,8];{-})
Group of order 80 # 30 acting with signature (0;+;[4,4,4];{-})
Group of order 80 # 31 acting with signature (0;+;[4,4,4];{-})
Group of order 80 # 50 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 96 # 32 acting with signature (0;+;[2,4,24];{-})
  ... and with signature (0;+;[4];{(12)})
Group of order 96 # 50 acting with signature (0;+;[24];{(2)})
Group of order 96 # 91 acting with signature (0;+;[-];{(4,4,12)})
Group of order 96 # 147 acting with signature (0;+;[-];{(4,4,12)})
Group of order 120 # 36 acting with signature (0;+;[2,4,12];{-})
Group of order 160 # 82 acting with signature (0;+;[2,4,8];{-})
Group of order 160 # 85 acting with signature (0;+;[2,4,8];{-})
Group of order 192 # 306 acting with signature (0;+;[-];{(2,4,24)})
Group of order 480 # 1186 acting with signature (0;+;[-];{(2,4,6)})
Number of different groups of symmetric genus 11 = 19

...........................................................................

Groups with symmetric genus 12
Group of order 48 # 16 acting with signature (0;+;[4,6,8];{-})
Group of order 55 # 1 acting with signature (0;+;[5,5,5];{-})
Group of order 60 # 9 acting with signature (0;+;[2,15,15];{-})
Group of order 96 # 118 acting with signature (0;+;[-];{(4,6,8)})
Group of order 110 # 1 acting with signature (0;+;[2,5,10];{-})
Group of order 120 # 38 acting with signature (0;+;[2,4,15];{-})
  ... and with signature (0;+;[-];{(2,15,15)})
Group of order 120 # 43 acting with signature (0;+;[15];{(2)})
Group of order 240 # 197 acting with signature (0;+;[-];{(2,4,15)})
Number of different groups of symmetric genus 12 = 8

...........................................................................

Groups with symmetric genus 13
Group of order 32 # 33 acting with signature (0;+;[2,4,4,4];{-})
  ... and with signature (0;+;[4,4];{(2)})
Group of order 32 # 47 acting with signature (0;+;[4];{(1),(1)})
Group of order 48 # 18 acting with signature (1;-;[4,4];{-})
Group of order 48 # 34 acting with signature (0;+;[4,4];{(1)})
Group of order 48 # 40 acting with signature (0;+;[4,4];{(1)})
Group of order 48 # 42 acting with signature (0;+;[4,4];{(1)})
Group of order 48 # 52 acting with signature (0;+;[-];{(2,2),(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 64 # 9 acting with signature (0;+;[4,4,8];{-})
Group of order 64 # 18 acting with signature (0;+;[4,4,8];{-})
Group of order 64 # 20 acting with signature (0;+;[4,4,8];{-})
Group of order 64 # 21 acting with signature (0;+;[4,4,8];{-})
Group of order 64 # 33 acting with signature (0;+;[4,4,8];{-})
Group of order 64 # 88 acting with signature (0;+;[8];{(2,2)})
Group of order 64 # 98 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 64 # 129 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 64 # 139 acting with signature (0;+;[4];{(2,4)})
Group of order 64 # 161 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 64 # 162 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 64 # 206 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 64 # 219 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 64 # 241 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 64 # 263 acting with signature (0;+;[-];{(2,2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,2,4)})
  ... and with signature (0;+;[-];{(2,2,4,2,2)})
Group of order 72 # 47 acting with signature (0;+;[3,6,6];{-})
  ... and with signature (0;+;[3,3];{(1)})
  ... and with signature (1;-;[3,3];{-})
Group of order 96 # 68 acting with signature (0;+;[3,4,6];{-})
Group of order 96 # 71 acting with signature (0;+;[3,4,6];{-})
Group of order 96 # 87 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 96 # 100 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 96 # 101 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 96 # 109 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 96 # 113 acting with signature (0;+;[-];{(1),(2)})
Group of order 96 # 114 acting with signature (0;+;[-];{(1),(2)})
Group of order 96 # 120 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 96 # 123 acting with signature (0;+;[2];{(4,4)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 96 # 134 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 96 # 135 acting with signature (0;+;[2,4];{(1)})
Group of order 96 # 136 acting with signature (0;+;[2,4];{(1)})
Group of order 96 # 139 acting with signature (0;+;[2,4];{(1)})
Group of order 96 # 157 acting with signature (0;+;[2,4];{(1)})
Group of order 96 # 160 acting with signature (0;+;[2,4];{(1)})
Group of order 96 # 162 acting with signature (0;+;[-];{(1),(2)})
Group of order 96 # 167 acting with signature (0;+;[-];{(1),(2)})
Group of order 96 # 168 acting with signature (0;+;[-];{(1),(2)})
Group of order 96 # 170 acting with signature (0;+;[-];{(1),(2)})
Group of order 96 # 177 acting with signature (0;+;[-];{(1),(2)})
Group of order 96 # 183 acting with signature (0;+;[-];{(1),(2)})
Group of order 96 # 208 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 96 # 215 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 96 # 219 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 96 # 228 acting with signature (0;+;[-];{(1),(2)})
Group of order 96 # 230 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 128 # 46 acting with signature (0;+;[16];{(2)})
Group of order 128 # 52 acting with signature (0;+;[16];{(2)})
Group of order 128 # 71 acting with signature (0;+;[2,4,16];{-})
  ... and with signature (0;+;[4];{(8)})
Group of order 128 # 79 acting with signature (0;+;[2,4,16];{-})
  ... and with signature (0;+;[4];{(8)})
Group of order 128 # 332 acting with signature (0;+;[-];{(4,4,8)})
Group of order 128 # 731 acting with signature (0;+;[-];{(4,4,8)})
Group of order 128 # 734 acting with signature (0;+;[-];{(4,4,8)})
Group of order 128 # 742 acting with signature (0;+;[-];{(4,4,8)})
Group of order 128 # 932 acting with signature (0;+;[-];{(4,4,8)})
Group of order 128 # 1738 acting with signature (0;+;[-];{(2,2,8,2)})
  ... and with signature (0;+;[-];{(2,2,2,8)})
Group of order 128 # 1918 acting with signature (0;+;[-];{(2,2,8,2)})
  ... and with signature (0;+;[-];{(2,2,2,8)})
Group of order 128 # 1924 acting with signature (0;+;[-];{(2,2,8,2)})
  ... and with signature (0;+;[-];{(2,2,2,8)})
Group of order 144 # 184 acting with signature (0;+;[3,3,6];{-})
Group of order 144 # 188 acting with signature (0;+;[6];{(3)})
  ... and with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 144 # 189 acting with signature (0;+;[-];{(3,6,6)})
  ... and with signature (0;+;[-];{(2,2,3,3)})
  ... and with signature (0;+;[2];{(3,3)})
Group of order 144 # 190 acting with signature (0;+;[2,6,6];{-})
  ... and with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 192 # 944 acting with signature (0;+;[-];{(3,4,6)})
Group of order 192 # 1046 acting with signature (0;+;[-];{(2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,4)})
Group of order 192 # 1147 acting with signature (0;+;[-];{(2,2,2,4)})
  ... and with signature (0;+;[-];{(2,2,4,2)})
Group of order 192 # 1168 acting with signature (0;+;[-];{(2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,4)})
Group of order 192 # 1212 acting with signature (0;+;[-];{(2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,4)})
Group of order 192 # 1305 acting with signature (0;+;[-];{(2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,4)})
Group of order 192 # 1331 acting with signature (0;+;[-];{(2,2,2,4)})
  ... and with signature (0;+;[-];{(2,2,4,2)})
Group of order 192 # 1333 acting with signature (0;+;[-];{(2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,4)})
Group of order 192 # 1537 acting with signature (0;+;[-];{(2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 5090 acting with signature (0;+;[-];{(2,4,16)})
Group of order 256 # 5102 acting with signature (0;+;[-];{(2,4,16)})
Group of order 288 # 1024 acting with signature (0;+;[2,3,12];{-})
  ... and with signature (0;+;[3];{(6)})
Group of order 288 # 1026 acting with signature (0;+;[-];{(3,3,6)})
Group of order 288 # 1028 acting with signature (0;+;[-];{(2,6,6)})
  ... and with signature (0;+;[-];{(2,2,2,3)})
Group of order 360 # 122 acting with signature (0;+;[3];{(5)})
Group of order 576 # 8653 acting with signature (0;+;[-];{(2,3,12)})
Group of order 720 # 771 acting with signature (0;+;[-];{(2,3,10)})
Number of different groups of symmetric genus 13 = 83

...........................................................................

Groups with symmetric genus 14
Group of order 78 # 2 acting with signature (0;+;[3,6,6];{-})
  ... and with signature (0;+;[3,3];{(1)})
  ... and with signature (1;-;[3,3];{-})
Group of order 120 # 5 acting with signature (0;+;[3,4,5];{-})
Group of order 156 # 7 acting with signature (1;-;[2,3];{-})
Group of order 156 # 8 acting with signature (0;+;[2,6,6];{-})
  ... and with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 240 # 93 acting with signature (0;+;[-];{(3,4,5)})
Group of order 1092 # 25 acting with signature (0;+;[2,3,7];{-})
Group of order 2184 acting with signature (0;+;[-];{(2,3,7)})
Group of order 2184 acting with signature (0;+;[-];{(2,3,7)})
Number of different groups of symmetric genus 14 = 8

...........................................................................

Groups with symmetric genus 15
Group of order 64 # 39 acting with signature (0;+;[4,4,16];{-})
Group of order 64 # 48 acting with signature (0;+;[4,4,16];{-})
Group of order 64 # 191 acting with signature (0;+;[2,16];{(1)})
  ... and with signature (0;+;[-];{(1),(8)})
Group of order 84 # 1 acting with signature (0;+;[3,4,12];{-})
Group of order 96 # 66 acting with signature (0;+;[3,4,8];{-})
Group of order 128 # 132 acting with signature (0;+;[32];{(2)})
Group of order 128 # 150 acting with signature (0;+;[2,4,32];{-})
  ... and with signature (0;+;[4];{(16)})
Group of order 128 # 918 acting with signature (0;+;[-];{(4,4,16)})
Group of order 128 # 950 acting with signature (0;+;[-];{(4,4,16)})
Group of order 128 # 2146 acting with signature (0;+;[-];{(2,2,16,2)})
  ... and with signature (0;+;[-];{(2,2,2,16)})
Group of order 144 # 110 acting with signature (0;+;[18];{(2)})
Group of order 168 # 23 acting with signature (0;+;[3,3,6];{-})
Group of order 168 # 43 acting with signature (0;+;[3,3,6];{-})
Group of order 192 # 986 acting with signature (0;+;[-];{(3,4,8)})
Group of order 256 # 6655 acting with signature (0;+;[-];{(2,4,32)})
Group of order 288 # 835 acting with signature (0;+;[-];{(2,4,18)})
Group of order 336 # 134 acting with signature (0;+;[2,3,12];{-})
Group of order 480 # 959 acting with signature (0;+;[-];{(2,3,20)})
Number of different groups of symmetric genus 15 = 18

...........................................................................

Groups with symmetric genus 16
Group of order 36 # 7 acting with signature (0;+;[3,3,4,4];{-})
  ... and with signature (0;+;[3,4,3,4];{-})
Group of order 54 # 11 acting with signature (0;+;[3,18,18];{-})
  ... and with signature (0;+;[3,9];{(1)})
  ... and with signature (1;-;[3,9];{-})
Group of order 72 # 19 acting with signature (0;+;[3,8,8];{-})
  ... and with signature (1;-;[3,4];{-})
Group of order 72 # 20 acting with signature (0;+;[3,4];{(1)})
Group of order 72 # 22 acting with signature (0;+;[4,6,6];{-})
  ... and with signature (0;+;[2,3,2,4];{-})
  ... and with signature (0;+;[2,2,3,4];{-})
  ... and with signature (0;+;[2,2,4,3];{-})
  ... and with signature (0;+;[-];{(3,4,3,4)})
  ... and with signature (0;+;[3];{(4,4)})
Group of order 72 # 32 acting with signature (0;+;[4];{(3,3)})
Group of order 72 # 35 acting with signature (0;+;[-];{(3,3,4,4)})
Group of order 100 # 9 acting with signature (1;-;[2,5];{-})
Group of order 100 # 10 acting with signature (0;+;[4,4,5];{-})
Group of order 108 # 26 acting with signature (0;+;[2,6,18];{-})
  ... and with signature (0;+;[6];{(9)})
Group of order 120 # 37 acting with signature (0;+;[-];{(1),(2)})
  ... and with signature (1;-;[-];{(2)})
Group of order 120 # 39 acting with signature (0;+;[-];{(1),(2)})
  ... and with signature (1;-;[-];{(2)})
Group of order 144 # 117 acting with signature (0;+;[2,6,8];{-})
  ... and with signature (0;+;[-];{(3,8,8)})
  ... and with signature (0;+;[6];{(4)})
  ... and with signature (0;+;[2];{(3,4)})
Group of order 144 # 130 acting with signature (0;+;[8];{(3)})
Group of order 144 # 145 acting with signature (0;+;[-];{(4,6,6)})
  ... and with signature (0;+;[-];{(2,3,2,4)})
Group of order 144 # 153 acting with signature (0;+;[-];{(2,2,3,4)})
  ... and with signature (0;+;[-];{(2,2,4,3)})
Group of order 144 # 185 acting with signature (0;+;[8];{(3)})
Group of order 200 # 41 acting with signature (0;+;[4];{(5)})
Group of order 240 # 194 acting with signature (0;+;[-];{(2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,4)})
  ... and with signature (0;+;[2];{(2,4)})
Group of order 288 # 873 acting with signature (0;+;[-];{(2,6,8)})
Group of order 300 # 22 acting with signature (0;+;[2,5,5];{-})
Group of order 600 # 144 acting with signature (0;+;[5];{(2)})
Group of order 600 # 145 acting with signature (0;+;[2,4,5];{-})
Group of order 600 # 146 acting with signature (0;+;[-];{(2,5,5)})
Group of order 720 # 766 acting with signature (0;+;[-];{(3,3,4)})
Group of order 1200 # 941 acting with signature (0;+;[-];{(2,4,5)})
Group of order 1440 # 5843 acting with signature (0;+;[-];{(2,3,8)})
Number of different groups of symmetric genus 16 = 27

...........................................................................

Groups with symmetric genus 17
Group of order 32 # 26 acting with signature (0;+;[4,4,4,4];{-})
  ... and with signature (3;-;[-];{-})
Group of order 32 # 32 acting with signature (0;+;[4,4,4,4];{-})
  ... and with signature (3;-;[-];{-})
Group of order 32 # 35 acting with signature (0;+;[4,4,4,4];{-})
  ... and with signature (3;-;[-];{-})
Group of order 48 # 46 acting with signature (0;+;[4,12];{(1)})
Group of order 64 # 3 acting with signature (1;+;[2];{-})
Group of order 64 # 5 acting with signature (0;+;[4,8,8];{-})
  ... and with signature (1;-;[4,4];{-})
  ... and with signature (1;+;[2];{-})
  ... and with signature (2;-;[2];{-})
Group of order 64 # 7 acting with signature (0;+;[4,8,8];{-})
  ... and with signature (1;-;[4,4];{-})
Group of order 64 # 11 acting with signature (0;+;[4,8,8];{-})
  ... and with signature (1;-;[4,4];{-})
Group of order 64 # 13 acting with signature (0;+;[4,8,8];{-})
  ... and with signature (1;-;[4,4];{-})
Group of order 64 # 14 acting with signature (0;+;[4,8,8];{-})
  ... and with signature (1;-;[4,4];{-})
Group of order 64 # 15 acting with signature (2;-;[2];{-})
Group of order 64 # 17 acting with signature (0;+;[4,8,8];{-})
  ... and with signature (1;-;[4,4];{-})
  ... and with signature (1;+;[2];{-})
  ... and with signature (2;-;[2];{-})
Group of order 64 # 19 acting with signature (2;-;[2];{-})
Group of order 64 # 22 acting with signature (2;-;[2];{-})
Group of order 64 # 24 acting with signature (0;+;[4,8,8];{-})
  ... and with signature (1;-;[4,4];{-})
  ... and with signature (1;+;[2];{-})
  ... and with signature (2;-;[2];{-})
Group of order 64 # 25 acting with signature (0;+;[4,8,8];{-})
  ... and with signature (1;-;[4,4];{-})
  ... and with signature (1;+;[2];{-})
  ... and with signature (2;-;[2];{-})
Group of order 64 # 27 acting with signature (1;+;[2];{-})
  ... and with signature (2;-;[2];{-})
Group of order 64 # 28 acting with signature (2;-;[2];{-})
Group of order 64 # 37 acting with signature (0;+;[4,8,8];{-})
  ... and with signature (1;-;[4,4];{-})
Group of order 64 # 43 acting with signature (1;-;[4,4];{-})
Group of order 64 # 46 acting with signature (1;-;[4,4];{-})
Group of order 64 # 56 acting with signature (0;+;[4,4];{(1)})
Group of order 64 # 58 acting with signature (0;+;[4,4];{(1)})
Group of order 64 # 61 acting with signature (0;+;[4,4];{(1)})
Group of order 64 # 62 acting with signature (0;+;[4,4];{(1)})
Group of order 64 # 66 acting with signature (0;+;[4,4];{(1)})
Group of order 64 # 71 acting with signature (0;+;[2,2,4,4];{-})
  ... and with signature (0;+;[2,4,2,4];{-})
  ... and with signature (0;+;[4];{(4,4)})
  ... and with signature (0;+;[2,4];{(2)})
  ... and with signature (0;+;[-];{(2),(2)})
Group of order 64 # 75 acting with signature (0;+;[2,2,4,4];{-})
  ... and with signature (0;+;[2,4,2,4];{-})
  ... and with signature (0;+;[4];{(4,4)})
  ... and with signature (0;+;[2,4];{(2)})
  ... and with signature (0;+;[-];{(2),(2)})
Group of order 64 # 91 acting with signature (0;+;[2,2,4,4];{-})
  ... and with signature (0;+;[2,4,2,4];{-})
  ... and with signature (0;+;[4];{(4,4)})
  ... and with signature (0;+;[2,4];{(2)})
  ... and with signature (0;+;[4,4];{(1)})
  ... and with signature (0;+;[-];{(2),(2)})
  ... and with signature (1;-;[2];{(1)})
Group of order 64 # 96 acting with signature (0;+;[4,4];{(1)})
Group of order 64 # 106 acting with signature (0;+;[4,4];{(1)})
Group of order 64 # 107 acting with signature (0;+;[4,4];{(1)})
Group of order 64 # 108 acting with signature (0;+;[4,4];{(1)})
Group of order 64 # 117 acting with signature (0;+;[-];{(2),(2)})
Group of order 64 # 119 acting with signature (0;+;[4,4];{(1)})
Group of order 64 # 121 acting with signature (0;+;[4,4];{(1)})
Group of order 64 # 133 acting with signature (0;+;[4];{(4,4)})
  ... and with signature (0;+;[4,4];{(1)})
  ... and with signature (0;+;[2,4];{(2)})
  ... and with signature (1;-;[2];{(1)})
Group of order 64 # 137 acting with signature (0;+;[2,2,4,4];{-})
  ... and with signature (0;+;[2,4,2,4];{-})
  ... and with signature (0;+;[4];{(4,4)})
  ... and with signature (0;+;[4,4];{(1)})
  ... and with signature (1;-;[2];{(1)})
Group of order 64 # 141 acting with signature (0;+;[2,2,4,4];{-})
  ... and with signature (0;+;[2,4,2,4];{-})
  ... and with signature (0;+;[4];{(4,4)})
Group of order 64 # 142 acting with signature (0;+;[4,4];{(1)})
Group of order 64 # 148 acting with signature (0;+;[4,4];{(1)})
Group of order 64 # 149 acting with signature (0;+;[4];{(4,4)})
  ... and with signature (0;+;[2,4];{(2)})
Group of order 64 # 154 acting with signature (0;+;[4,4];{(1)})
Group of order 64 # 155 acting with signature (0;+;[4,4];{(1)})
Group of order 64 # 157 acting with signature (0;+;[4,4];{(1)})
Group of order 64 # 159 acting with signature (0;+;[4,4];{(1)})
Group of order 64 # 163 acting with signature (0;+;[4];{(4,4)})
  ... and with signature (0;+;[2,4];{(2)})
Group of order 64 # 167 acting with signature (0;+;[2,2,4,4];{-})
  ... and with signature (0;+;[2,4,2,4];{-})
  ... and with signature (0;+;[4];{(4,4)})
Group of order 64 # 171 acting with signature (0;+;[2,2,4,4];{-})
  ... and with signature (0;+;[2,4,2,4];{-})
  ... and with signature (0;+;[4];{(4,4)})
Group of order 64 # 173 acting with signature (0;+;[2,2,4,4];{-})
  ... and with signature (0;+;[2,4,2,4];{-})
  ... and with signature (0;+;[4];{(4,4)})
Group of order 64 # 176 acting with signature (0;+;[2,4,2,4];{-})
  ... and with signature (0;+;[2,2,4,4];{-})
  ... and with signature (0;+;[2,4];{(2)})
  ... and with signature (0;+;[-];{(2),(2)})
Group of order 64 # 188 acting with signature (0;+;[4,4];{(1)})
Group of order 64 # 193 acting with signature (0;+;[4];{(2,2,2)})
  ... and with signature (0;+;[-];{(2,2),(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 64 # 196 acting with signature (0;+;[-];{(2,2),(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 64 # 198 acting with signature (0;+;[2];{(1),(1)})
Group of order 64 # 199 acting with signature (0;+;[-];{(2,2),(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 64 # 201 acting with signature (0;+;[2];{(1),(1)})
Group of order 64 # 205 acting with signature (0;+;[-];{(2,2),(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 64 # 210 acting with signature (0;+;[2];{(1),(1)})
Group of order 64 # 213 acting with signature (0;+;[-];{(4,4,4,4)})
  ... and with signature (0;+;[2,2,2];{(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 64 # 218 acting with signature (0;+;[-];{(4,4,4,4)})
  ... and with signature (0;+;[2,2,2,2,2];{-})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 64 # 220 acting with signature (0;+;[2];{(1),(1)})
Group of order 64 # 221 acting with signature (0;+;[-];{(4,4,4,4)})
  ... and with signature (0;+;[2,2,2];{(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 64 # 228 acting with signature (0;+;[-];{(4,4,4,4)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 64 # 229 acting with signature (0;+;[-];{(4,4,4,4)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 64 # 231 acting with signature (0;+;[-];{(4,4,4,4)})
  ... and with signature (0;+;[2,2,2];{(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 64 # 232 acting with signature (0;+;[-];{(2,2),(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 64 # 234 acting with signature (0;+;[-];{(4,4,4,4)})
  ... and with signature (0;+;[2,2,2];{(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 64 # 236 acting with signature (0;+;[-];{(4,4,4,4)})
Group of order 64 # 240 acting with signature (0;+;[2];{(1),(1)})
Group of order 64 # 243 acting with signature (0;+;[-];{(4,4,4,4)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 64 # 246 acting with signature (0;+;[-];{(2,2),(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 64 # 247 acting with signature (0;+;[-];{(2,2),(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 64 # 248 acting with signature (0;+;[-];{(2,2),(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 64 # 249 acting with signature (0;+;[-];{(2,2),(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 64 # 251 acting with signature (0;+;[4];{(2,2,2)})
  ... and with signature (0;+;[-];{(2,2),(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 64 # 255 acting with signature (0;+;[-];{(2,2),(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 64 # 259 acting with signature (0;+;[-];{(4,4,4,4)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 64 # 267 acting with signature (0;+;[-];{(2,2,2,2,2,2)})
Group of order 80 # 19 acting with signature (0;+;[4,4,10];{-})
Group of order 80 # 40 acting with signature (0;+;[2,10];{(1)})
  ... and with signature (0;+;[-];{(1),(5)})
Group of order 96 # 41 acting with signature (0;+;[4,4,6];{-})
Group of order 96 # 69 acting with signature (0;+;[3,4,12];{-})
Group of order 96 # 88 acting with signature (0;+;[-];{(1),(3)})
Group of order 96 # 146 acting with signature (0;+;[2,6];{(1)})
Group of order 96 # 194 acting with signature (0;+;[4,4,6];{-})
Group of order 96 # 204 acting with signature (0;+;[2,2,3,3];{-})
  ... and with signature (0;+;[2,3,2,3];{-})
Group of order 96 # 213 acting with signature (0;+;[-];{(2,2,12,4)})
  ... and with signature (0;+;[-];{(2,2,4,12)})
Group of order 128 # 2 acting with signature (0;+;[2,8,8];{-})
  ... and with signature (0;+;[8];{(4)})
  ... and with signature (1;-;[2,4];{-})
  ... and with signature (1;-;[-];{(2)})
Group of order 128 # 36 acting with signature (0;+;[4,4,4];{-})
Group of order 128 # 47 acting with signature (1;-;[-];{(2)})
Group of order 128 # 50 acting with signature (0;+;[2,8,8];{-})
  ... and with signature (0;+;[8];{(4)})
  ... and with signature (1;-;[2,4];{-})
  ... and with signature (1;-;[-];{(2)})
Group of order 128 # 53 acting with signature (1;-;[-];{(2)})
Group of order 128 # 62 acting with signature (1;-;[-];{(2)})
Group of order 128 # 65 acting with signature (1;-;[2,4];{-})
  ... and with signature (1;-;[-];{(2)})
Group of order 128 # 68 acting with signature (1;-;[-];{(2)})
Group of order 128 # 73 acting with signature (1;-;[2,4];{-})
  ... and with signature (1;-;[-];{(2)})
Group of order 128 # 77 acting with signature (0;+;[2,8,8];{-})
  ... and with signature (0;+;[8];{(4)})
  ... and with signature (1;-;[2,4];{-})
  ... and with signature (1;-;[-];{(2)})
Group of order 128 # 81 acting with signature (1;-;[2,4];{-})
  ... and with signature (1;-;[-];{(2)})
Group of order 128 # 87 acting with signature (1;-;[2,4];{-})
Group of order 128 # 91 acting with signature (1;-;[2,4];{-})
Group of order 128 # 92 acting with signature (1;-;[2,4];{-})
  ... and with signature (1;-;[-];{(2)})
Group of order 128 # 125 acting with signature (0;+;[4,4,4];{-})
Group of order 128 # 137 acting with signature (0;+;[2,8,8];{-})
  ... and with signature (0;+;[8];{(4)})
Group of order 128 # 141 acting with signature (0;+;[4,4,4];{-})
Group of order 128 # 142 acting with signature (0;+;[2,8,8];{-})
  ... and with signature (0;+;[8];{(4)})
Group of order 128 # 144 acting with signature (0;+;[4,4,4];{-})
Group of order 128 # 188 acting with signature (0;+;[-];{(1),(2)})
Group of order 128 # 191 acting with signature (0;+;[-];{(1),(2)})
Group of order 128 # 200 acting with signature (0;+;[-];{(1),(2)})
Group of order 128 # 203 acting with signature (0;+;[-];{(1),(2)})
Group of order 128 # 230 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 128 # 233 acting with signature (0;+;[2,4];{(1)})
Group of order 128 # 239 acting with signature (0;+;[4];{(2,2)})
Group of order 128 # 242 acting with signature (0;+;[4];{(2,2)})
Group of order 128 # 248 acting with signature (0;+;[2,4];{(1)})
Group of order 128 # 251 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 128 # 312 acting with signature (0;+;[-];{(1),(2)})
Group of order 128 # 313 acting with signature (0;+;[-];{(1),(2)})
Group of order 128 # 318 acting with signature (0;+;[-];{(1),(2)})
Group of order 128 # 329 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 128 # 330 acting with signature (0;+;[2,2,4,2];{-})
  ... and with signature (0;+;[2,2,2,4];{-})
  ... and with signature (0;+;[-];{(4,8,8)})
  ... and with signature (0;+;[2];{(4,4)})
  ... and with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[2,2];{(2)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 128 # 353 acting with signature (0;+;[-];{(4,8,8)})
  ... and with signature (0;+;[2];{(4,4)})
Group of order 128 # 356 acting with signature (0;+;[-];{(4,8,8)})
  ... and with signature (0;+;[2];{(4,4)})
Group of order 128 # 357 acting with signature (0;+;[-];{(4,8,8)})
  ... and with signature (0;+;[2];{(4,4)})
Group of order 128 # 361 acting with signature (0;+;[4];{(2,2)})
Group of order 128 # 371 acting with signature (0;+;[4];{(2,2)})
Group of order 128 # 388 acting with signature (0;+;[-];{(4,8,8)})
  ... and with signature (0;+;[2];{(4,4)})
Group of order 128 # 397 acting with signature (0;+;[2,4];{(1)})
Group of order 128 # 409 acting with signature (0;+;[2,4];{(1)})
Group of order 128 # 413 acting with signature (0;+;[2,4];{(1)})
Group of order 128 # 419 acting with signature (0;+;[2,2];{(2)})
Group of order 128 # 453 acting with signature (0;+;[2,2,4,2];{-})
  ... and with signature (0;+;[2,2,2,4];{-})
Group of order 128 # 513 acting with signature (0;+;[4];{(2,2)})
Group of order 128 # 518 acting with signature (0;+;[4];{(2,2)})
Group of order 128 # 521 acting with signature (0;+;[4];{(2,2)})
Group of order 128 # 524 acting with signature (0;+;[4];{(2,2)})
Group of order 128 # 526 acting with signature (0;+;[4];{(2,2)})
Group of order 128 # 527 acting with signature (0;+;[4];{(2,2)})
Group of order 128 # 601 acting with signature (0;+;[-];{(1),(2)})
Group of order 128 # 603 acting with signature (0;+;[2,4];{(1)})
Group of order 128 # 608 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 128 # 611 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 128 # 613 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 128 # 615 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 128 # 616 acting with signature (0;+;[2,4];{(1)})
Group of order 128 # 621 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 128 # 623 acting with signature (0;+;[-];{(1),(2)})
Group of order 128 # 625 acting with signature (0;+;[2,4];{(1)})
Group of order 128 # 630 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 128 # 632 acting with signature (0;+;[-];{(1),(2)})
Group of order 128 # 635 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 128 # 636 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 128 # 638 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 128 # 639 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 128 # 642 acting with signature (0;+;[2,4];{(1)})
Group of order 128 # 645 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 128 # 646 acting with signature (0;+;[-];{(1),(2)})
Group of order 128 # 738 acting with signature (0;+;[2,2,2,4];{-})
  ... and with signature (0;+;[2,2,4,2];{-})
  ... and with signature (0;+;[-];{(4,8,8)})
  ... and with signature (0;+;[2];{(4,4)})
  ... and with signature (0;+;[2,2];{(2)})
Group of order 128 # 740 acting with signature (0;+;[2,2,2,4];{-})
  ... and with signature (0;+;[2,2,4,2];{-})
  ... and with signature (0;+;[-];{(4,8,8)})
  ... and with signature (0;+;[2];{(4,4)})
  ... and with signature (0;+;[2,2];{(2)})
Group of order 128 # 743 acting with signature (0;+;[2,2,2,4];{-})
  ... and with signature (0;+;[2,2,4,2];{-})
  ... and with signature (0;+;[-];{(4,8,8)})
  ... and with signature (0;+;[2];{(4,4)})
  ... and with signature (0;+;[2,2];{(2)})
Group of order 128 # 749 acting with signature (0;+;[2,2];{(2)})
Group of order 128 # 750 acting with signature (0;+;[2,2];{(2)})
Group of order 128 # 843 acting with signature (0;+;[-];{(1),(2)})
Group of order 128 # 845 acting with signature (0;+;[-];{(1),(2)})
Group of order 128 # 846 acting with signature (0;+;[-];{(1),(2)})
Group of order 128 # 847 acting with signature (0;+;[-];{(1),(2)})
Group of order 128 # 850 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 128 # 852 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 128 # 853 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 128 # 854 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 128 # 856 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 128 # 859 acting with signature (0;+;[2,4];{(1)})
Group of order 128 # 860 acting with signature (0;+;[4];{(2,2)})
Group of order 128 # 868 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 128 # 870 acting with signature (0;+;[2,4];{(1)})
Group of order 128 # 872 acting with signature (0;+;[4];{(2,2)})
Group of order 128 # 876 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 128 # 877 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 128 # 900 acting with signature (0;+;[-];{(1),(2)})
Group of order 128 # 903 acting with signature (0;+;[-];{(1),(2)})
Group of order 128 # 909 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 128 # 911 acting with signature (0;+;[-];{(1),(2)})
Group of order 128 # 913 acting with signature (0;+;[2,4];{(1)})
Group of order 128 # 919 acting with signature (0;+;[4];{(2,2)})
Group of order 128 # 925 acting with signature (0;+;[2];{(4,4)})
Group of order 128 # 926 acting with signature (0;+;[4];{(2,2)})
Group of order 128 # 929 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 128 # 930 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 128 # 936 acting with signature (0;+;[-];{(4,8,8)})
  ... and with signature (0;+;[2];{(4,4)})
Group of order 128 # 942 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 128 # 944 acting with signature (0;+;[2,4];{(1)})
Group of order 128 # 949 acting with signature (0;+;[2,4];{(1)})
Group of order 128 # 955 acting with signature (0;+;[2,4];{(1)})
Group of order 128 # 982 acting with signature (0;+;[2,2,2,4];{-})
  ... and with signature (0;+;[2,2,4,2];{-})
  ... and with signature (0;+;[2,2];{(2)})
Group of order 128 # 989 acting with signature (0;+;[-];{(1),(2)})
Group of order 128 # 992 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 128 # 1116 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 128 # 1140 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 128 # 1142 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 128 # 1165 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 128 # 1345 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 128 # 1411 acting with signature (0;+;[-];{(2,4,2,4)})
Group of order 128 # 1578 acting with signature (0;+;[-];{(2,2,4,4)})
  ... and with signature (0;+;[2];{(2,2,2)})
Group of order 128 # 1732 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 128 # 1735 acting with signature (0;+;[-];{(2,2,4,4)})
  ... and with signature (0;+;[2];{(2,2,2)})
Group of order 128 # 1744 acting with signature (0;+;[-];{(2,2,4,4)})
  ... and with signature (0;+;[2];{(2,2,2)})
Group of order 128 # 1750 acting with signature (0;+;[-];{(2,2,4,4)})
  ... and with signature (0;+;[2];{(2,2,2)})
Group of order 128 # 1751 acting with signature (0;+;[-];{(2,2,4,4)})
  ... and with signature (0;+;[2];{(2,2,2)})
Group of order 128 # 1757 acting with signature (0;+;[-];{(2,2,4,4)})
  ... and with signature (0;+;[2];{(2,2,2)})
Group of order 128 # 1758 acting with signature (0;+;[-];{(2,2,4,4)})
  ... and with signature (0;+;[2];{(2,2,2)})
Group of order 128 # 1759 acting with signature (0;+;[-];{(2,2,4,4)})
  ... and with signature (0;+;[2];{(2,2,2)})
Group of order 128 # 1780 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 128 # 1784 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 128 # 1790 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 128 # 1931 acting with signature (0;+;[-];{(2,4,2,4)})
Group of order 128 # 1997 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 128 # 2004 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 128 # 2005 acting with signature (0;+;[-];{(2,4,2,4)})
Group of order 128 # 2006 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 128 # 2012 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 128 # 2022 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 128 # 2023 acting with signature (0;+;[-];{(2,4,2,4)})
Group of order 128 # 2026 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 128 # 2050 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 128 # 2057 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 128 # 2143 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 128 # 2148 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 128 # 2163 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 128 # 2177 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 128 # 2194 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 128 # 2216 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 128 # 2220 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 128 # 2228 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 128 # 2230 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 128 # 2264 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 128 # 2266 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 128 # 2269 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 128 # 2275 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 128 # 2306 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 128 # 2310 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 128 # 2312 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 128 # 2313 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 128 # 2316 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 128 # 2317 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 160 # 13 acting with signature (0;+;[2,4,20];{-})
  ... and with signature (0;+;[4];{(10)})
Group of order 160 # 49 acting with signature (0;+;[20];{(2)})
Group of order 160 # 158 acting with signature (0;+;[-];{(4,4,10)})
Group of order 160 # 219 acting with signature (0;+;[-];{(2,2,10,2)})
  ... and with signature (0;+;[-];{(2,2,2,10)})
Group of order 192 # 33 acting with signature (0;+;[2,4,12];{-})
Group of order 192 # 34 acting with signature (0;+;[4];{(6)})
Group of order 192 # 157 acting with signature (0;+;[12];{(2)})
Group of order 192 # 185 acting with signature (0;+;[3,4,4];{-})
Group of order 192 # 191 acting with signature (1;-;[2,3];{-})
Group of order 192 # 201 acting with signature (0;+;[2,6,6];{-})
  ... and with signature (0;+;[2,3];{(1)})
  ... and with signature (1;-;[2,3];{-})
Group of order 192 # 202 acting with signature (1;-;[2,3];{-})
Group of order 192 # 591 acting with signature (0;+;[-];{(4,4,6)})
Group of order 192 # 952 acting with signature (0;+;[-];{(3,4,12)})
Group of order 192 # 963 acting with signature (0;+;[4];{(6)})
Group of order 192 # 972 acting with signature (0;+;[2,4,12];{-})
  ... and with signature (0;+;[4];{(6)})
Group of order 192 # 994 acting with signature (0;+;[12];{(2)})
Group of order 192 # 1002 acting with signature (0;+;[2,6,6];{-})
  ... and with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 192 # 1008 acting with signature (0;+;[2,6,6];{-})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 192 # 1017 acting with signature (0;+;[12];{(2)})
Group of order 192 # 1149 acting with signature (0;+;[-];{(2,2,6,2)})
  ... and with signature (0;+;[-];{(2,2,2,6)})
Group of order 192 # 1488 acting with signature (0;+;[-];{(4,4,6)})
Group of order 192 # 1491 acting with signature (0;+;[3,4,4];{-})
Group of order 192 # 1493 acting with signature (0;+;[3,4,4];{-})
  ... and with signature (0;+;[-];{(2,2,3,3)})
  ... and with signature (0;+;[-];{(2,3,2,3)})
Group of order 192 # 1494 acting with signature (0;+;[2,2,2,3];{-})
  ... and with signature (0;+;[2,2,3,2];{-})
  ... and with signature (0;+;[2];{(3,3)})
Group of order 192 # 1495 acting with signature (0;+;[3,4,4];{-})
Group of order 192 # 1509 acting with signature (0;+;[3];{(2,2)})
Group of order 192 # 1540 acting with signature (0;+;[3];{(2,2)})
Group of order 240 # 90 acting with signature (0;+;[2,5,6];{-})
  ... and with signature (0;+;[5];{(3)})
Group of order 256 # 326 acting with signature (0;+;[8];{(2)})
Group of order 256 # 332 acting with signature (0;+;[8];{(2)})
Group of order 256 # 382 acting with signature (0;+;[2,4,8];{-})
  ... and with signature (0;+;[4];{(4)})
Group of order 256 # 390 acting with signature (0;+;[2,4,8];{-})
  ... and with signature (0;+;[4];{(4)})
Group of order 256 # 396 acting with signature (0;+;[2,4,8];{-})
  ... and with signature (0;+;[4];{(4)})
Group of order 256 # 505 acting with signature (0;+;[8];{(2)})
Group of order 256 # 507 acting with signature (0;+;[4];{(4)})
Group of order 256 # 511 acting with signature (0;+;[4];{(4)})
Group of order 256 # 515 acting with signature (0;+;[2,4,8];{-})
Group of order 256 # 722 acting with signature (0;+;[-];{(2,8,8)})
  ... and with signature (0;+;[2];{(2,4)})
Group of order 256 # 3324 acting with signature (0;+;[-];{(4,4,4)})
Group of order 256 # 5084 acting with signature (0;+;[-];{(2,8,8)})
  ... and with signature (0;+;[2];{(2,4)})
Group of order 256 # 5096 acting with signature (0;+;[2];{(2,4)})
Group of order 256 # 5105 acting with signature (0;+;[2];{(2,4)})
Group of order 256 # 5302 acting with signature (0;+;[2];{(2,4)})
Group of order 256 # 5312 acting with signature (0;+;[2];{(2,4)})
Group of order 256 # 6331 acting with signature (0;+;[-];{(4,4,4)})
Group of order 256 # 6662 acting with signature (0;+;[-];{(4,4,4)})
Group of order 256 # 6669 acting with signature (0;+;[-];{(2,8,8)})
Group of order 256 # 11082 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 11182 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 11212 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 11242 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 12743 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 13041 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 16836 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 16860 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 16864 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 16870 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 16874 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 16880 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 16883 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 16888 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 26498 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 26510 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 26516 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 26519 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 26531 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 26539 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 26541 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 26545 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 26818 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 26842 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 256 # 26967 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 320 # 368 acting with signature (0;+;[-];{(2,4,20)})
Group of order 384 # 4 acting with signature (0;+;[3,3,4];{-})
Group of order 384 # 1706 acting with signature (0;+;[-];{(2,4,12)})
Group of order 384 # 5566 acting with signature (0;+;[4];{(3)})
Group of order 384 # 5567 acting with signature (0;+;[2];{(2,3)})
Group of order 384 # 5602 acting with signature (0;+;[2,4,6];{-})
  ... and with signature (0;+;[-];{(2,6,6)})
  ... and with signature (0;+;[-];{(2,2,2,3)})
  ... and with signature (0;+;[2];{(2,3)})
Group of order 384 # 5604 acting with signature (0;+;[2,4,6];{-})
  ... and with signature (0;+;[4];{(3)})
Group of order 384 # 5608 acting with signature (0;+;[4];{(3)})
  ... and with signature (0;+;[2];{(2,3)})
Group of order 384 # 5657 acting with signature (0;+;[2,4,6];{-})
Group of order 384 # 5677 acting with signature (0;+;[2,4,6];{-})
Group of order 384 # 5790 acting with signature (0;+;[6];{(2)})
Group of order 384 # 5835 acting with signature (0;+;[6];{(2)})
Group of order 384 # 5837 acting with signature (0;+;[6];{(2)})
Group of order 384 # 17873 acting with signature (0;+;[-];{(2,4,12)})
Group of order 384 # 17949 acting with signature (0;+;[-];{(2,6,6)})
  ... and with signature (0;+;[-];{(2,2,2,3)})
Group of order 384 # 18044 acting with signature (0;+;[-];{(2,4,12)})
Group of order 384 # 20095 acting with signature (0;+;[-];{(3,4,4)})
Group of order 384 # 20097 acting with signature (0;+;[-];{(3,4,4)})
Group of order 384 # 20098 acting with signature (0;+;[-];{(2,2,2,3)})
Group of order 384 # 20100 acting with signature (0;+;[-];{(3,4,4)})
Group of order 384 # 20163 acting with signature (0;+;[-];{(2,2,2,3)})
Group of order 480 # 948 acting with signature (0;+;[-];{(2,5,6)})
Group of order 512 acting with signature (0;+;[-];{(2,4,8)})
Group of order 512 acting with signature (0;+;[-];{(2,4,8)})
Group of order 512 acting with signature (0;+;[-];{(2,4,8)})
Group of order 768 # 1083527 acting with signature (0;+;[3];{(4)})
Group of order 768 # 1085341 acting with signature (0;+;[2,3,8];{-})
  ... and with signature (0;+;[-];{(3,3,4)})
Group of order 768 # 1087581 acting with signature (0;+;[-];{(2,4,6)})
Group of order 768 # 1088555 acting with signature (0;+;[-];{(2,4,6)})
Group of order 768 # 1088556 acting with signature (0;+;[-];{(2,4,6)})
Group of order 1344 # 814 acting with signature (0;+;[2,3,7];{-})
Group of order 1536 acting with signature (0;+;[-];{(2,3,8)})
Number of different groups of symmetric genus 17 = 349

...........................................................................

Groups with symmetric genus 18
Group of order 84 # 10 acting with signature (0;+;[2,21,21];{-})
Group of order 136 # 12 acting with signature (0;+;[2,8,8];{-})
  ... and with signature (1;-;[2,4];{-})
Group of order 168 # 46 acting with signature (0;+;[2,4,21];{-})
  ... and with signature (0;+;[-];{(2,21,21)})
Group of order 168 # 52 acting with signature (0;+;[21];{(2)})
Group of order 336 # 215 acting with signature (0;+;[-];{(2,4,21)})
Number of different groups of symmetric genus 18 = 5

...........................................................................

Groups with symmetric genus 19
Group of order 72 # 24 acting with signature (1;-;[4,4];{-})
Group of order 72 # 37 acting with signature (1;+;[2];{-})
Group of order 72 # 38 acting with signature (1;+;[2];{-})
Group of order 80 # 11 acting with signature (0;+;[4,4,20];{-})
Group of order 80 # 12 acting with signature (0;+;[4,4,20];{-})
Group of order 81 # 3 acting with signature (0;+;[3,9,9];{-})
Group of order 81 # 8 acting with signature (0;+;[3,9,9];{-})
Group of order 96 # 107 acting with signature (0;+;[8];{(2,2)})
  ... and with signature (0;+;[2,8];{(1)})
Group of order 96 # 125 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 96 # 148 acting with signature (0;+;[8];{(2,2)})
  ... and with signature (0;+;[2,8];{(1)})
Group of order 96 # 149 acting with signature (0;+;[2,8];{(1)})
Group of order 96 # 180 acting with signature (0;+;[-];{(1),(4)})
Group of order 96 # 184 acting with signature (0;+;[-];{(1),(4)})
Group of order 108 # 8 acting with signature (0;+;[3,4,12];{-})
Group of order 144 # 53 acting with signature (1;-;[2,4];{-})
Group of order 144 # 55 acting with signature (1;-;[2,4];{-})
Group of order 144 # 80 acting with signature (1;-;[-];{(2)})
Group of order 144 # 82 acting with signature (1;-;[-];{(2)})
Group of order 144 # 118 acting with signature (0;+;[8];{(4)})
Group of order 144 # 120 acting with signature (0;+;[4,4,4];{-})
Group of order 144 # 128 acting with signature (0;+;[3,4,6];{-})
Group of order 144 # 131 acting with signature (0;+;[2,8,8];{-})
Group of order 144 # 132 acting with signature (0;+;[4,4,4];{-})
Group of order 144 # 133 acting with signature (0;+;[4,4,4];{-})
Group of order 144 # 141 acting with signature (0;+;[2];{(4,4)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 144 # 143 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 144 # 162 acting with signature (0;+;[-];{(1),(2)})
Group of order 144 # 165 acting with signature (0;+;[-];{(1),(2)})
Group of order 144 # 172 acting with signature (0;+;[2,2,2,4];{-})
  ... and with signature (0;+;[2,2,4,2];{-})
Group of order 144 # 175 acting with signature (0;+;[2,2,4,2];{-})
  ... and with signature (0;+;[2,2,2,4];{-})
Group of order 144 # 191 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 160 # 32 acting with signature (0;+;[2,4,40];{-})
  ... and with signature (0;+;[4];{(20)})
Group of order 160 # 50 acting with signature (0;+;[40];{(2)})
Group of order 160 # 105 acting with signature (0;+;[-];{(4,4,20)})
Group of order 160 # 161 acting with signature (0;+;[-];{(4,4,20)})
Group of order 162 # 4 acting with signature (0;+;[9];{(3)})
Group of order 162 # 5 acting with signature (0;+;[2,6,9];{-})
Group of order 162 # 10 acting with signature (0;+;[2,6,9];{-})
  ... and with signature (0;+;[9];{(3)})
Group of order 162 # 11 acting with signature (0;+;[2,6,9];{-})
  ... and with signature (0;+;[9];{(3)})
Group of order 162 # 12 acting with signature (0;+;[9];{(3)})
Group of order 162 # 13 acting with signature (0;+;[2,6,9];{-})
Group of order 162 # 17 acting with signature (0;+;[-];{(3,9,9)})
Group of order 162 # 20 acting with signature (0;+;[-];{(3,9,9)})
Group of order 192 # 1318 acting with signature (0;+;[-];{(2,2,8,2)})
  ... and with signature (0;+;[-];{(2,2,2,8)})
Group of order 192 # 1336 acting with signature (0;+;[-];{(2,2,8,2)})
  ... and with signature (0;+;[-];{(2,2,2,8)})
Group of order 216 # 37 acting with signature (0;+;[-];{(3,4,12)})
Group of order 216 # 42 acting with signature (0;+;[3,3,6];{-})
Group of order 288 # 374 acting with signature (0;+;[8];{(2)})
Group of order 288 # 375 acting with signature (0;+;[8];{(2)})
Group of order 288 # 377 acting with signature (0;+;[4];{(4)})
Group of order 288 # 379 acting with signature (0;+;[4];{(4)})
Group of order 288 # 430 acting with signature (0;+;[2,4,8];{-})
Group of order 288 # 433 acting with signature (0;+;[2,4,8];{-})
Group of order 288 # 574 acting with signature (0;+;[2];{(2,4)})
Group of order 288 # 589 acting with signature (0;+;[2];{(2,4)})
Group of order 288 # 841 acting with signature (0;+;[2,4,8];{-})
  ... and with signature (0;+;[4];{(4)})
Group of order 288 # 851 acting with signature (0;+;[-];{(3,4,6)})
Group of order 288 # 872 acting with signature (0;+;[-];{(2,8,8)})
Group of order 288 # 878 acting with signature (0;+;[-];{(4,4,4)})
Group of order 288 # 879 acting with signature (0;+;[-];{(4,4,4)})
Group of order 288 # 958 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 288 # 968 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 288 # 1031 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 320 # 374 acting with signature (0;+;[-];{(2,4,40)})
Group of order 324 # 37 acting with signature (0;+;[-];{(2,6,9)})
Group of order 324 # 39 acting with signature (0;+;[-];{(2,6,9)})
Group of order 324 # 40 acting with signature (0;+;[-];{(2,6,9)})
Group of order 432 # 248 acting with signature (0;+;[3];{(6)})
Group of order 432 # 258 acting with signature (0;+;[-];{(3,3,6)})
Group of order 432 # 269 acting with signature (0;+;[2,3,12];{-})
Group of order 576 # 5339 acting with signature (0;+;[-];{(2,4,8)})
Group of order 576 # 5357 acting with signature (0;+;[-];{(2,4,8)})
Group of order 864 # 2225 acting with signature (0;+;[-];{(2,3,12)})
Number of different groups of symmetric genus 19 = 73

...........................................................................

Groups with symmetric genus 20
Group of order 72 # 3 acting with signature (0;+;[4,9,9];{-})
Group of order 114 # 2 acting with signature (0;+;[3,6,6];{-})
  ... and with signature (0;+;[3,3];{(1)})
  ... and with signature (1;-;[3,3];{-})
Group of order 120 # 40 acting with signature (0;+;[12];{(5)})
Group of order 144 # 32 acting with signature (0;+;[2,8,9];{-})
  ... and with signature (0;+;[-];{(4,9,9)})
Group of order 144 # 36 acting with signature (0;+;[9];{(4)})
Group of order 228 # 7 acting with signature (0;+;[2,6,6];{-})
  ... and with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 288 # 340 acting with signature (0;+;[-];{(2,8,9)})
Number of different groups of symmetric genus 20 = 7

...........................................................................

Groups with symmetric genus 21
Group of order 63 # 1 acting with signature (0;+;[7,9,9];{-})
Group of order 64 # 83 acting with signature (0;+;[4,8];{(1)})
Group of order 64 # 84 acting with signature (0;+;[4,8];{(1)})
Group of order 64 # 86 acting with signature (0;+;[4,8];{(1)})
Group of order 64 # 93 acting with signature (0;+;[4,8];{(1)})
Group of order 64 # 100 acting with signature (0;+;[4,8];{(1)})
Group of order 64 # 103 acting with signature (0;+;[4,8];{(1)})
Group of order 64 # 105 acting with signature (0;+;[4,8];{(1)})
Group of order 64 # 109 acting with signature (0;+;[4,8];{(1)})
Group of order 64 # 132 acting with signature (0;+;[4,8];{(1)})
Group of order 64 # 164 acting with signature (0;+;[4,8];{(1)})
Group of order 64 # 165 acting with signature (0;+;[4,8];{(1)})
Group of order 64 # 207 acting with signature (0;+;[4];{(2,2,4)})
Group of order 64 # 265 acting with signature (0;+;[-];{(2,2,4,4,4)})
Group of order 80 # 16 acting with signature (0;+;[4,4];{(1)})
  ... and with signature (1;-;[4,4];{-})
Group of order 80 # 18 acting with signature (1;-;[4,4];{-})
Group of order 80 # 32 acting with signature (0;+;[4,8,8];{-})
Group of order 80 # 33 acting with signature (0;+;[4,8,8];{-})
Group of order 80 # 35 acting with signature (0;+;[4,4];{(1)})
Group of order 80 # 41 acting with signature (0;+;[4,4];{(1)})
Group of order 80 # 43 acting with signature (0;+;[4,4];{(1)})
Group of order 80 # 52 acting with signature (0;+;[-];{(2,2),(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 96 # 38 acting with signature (0;+;[4,4,12];{-})
Group of order 96 # 65 acting with signature (0;+;[3,8,8];{-})
Group of order 96 # 73 acting with signature (0;+;[2,24,24];{-})
  ... and with signature (1;-;[2,12];{-})
  ... and with signature (1;-;[3,4];{-})
Group of order 96 # 93 acting with signature (0;+;[2,12];{(1)})
  ... and with signature (0;+;[-];{(1),(6)})
Group of order 96 # 185 acting with signature (0;+;[4,4,12];{-})
Group of order 96 # 188 acting with signature (0;+;[3,4];{(1)})
Group of order 96 # 191 acting with signature (0;+;[3,4];{(1)})
Group of order 96 # 198 acting with signature (0;+;[4,6,6];{-})
  ... and with signature (0;+;[3,4];{(1)})
Group of order 120 # 41 acting with signature (0;+;[4,4,6];{-})
Group of order 126 # 1 acting with signature (0;+;[9];{(7)})
Group of order 128 # 1734 acting with signature (0;+;[-];{(2,2,8,4)})
  ... and with signature (0;+;[-];{(2,2,4,8)})
Group of order 128 # 1737 acting with signature (0;+;[-];{(2,2,8,4)})
  ... and with signature (0;+;[-];{(2,2,4,8)})
Group of order 128 # 1748 acting with signature (0;+;[-];{(2,2,4,8)})
  ... and with signature (0;+;[-];{(2,2,8,4)})
Group of order 128 # 1761 acting with signature (0;+;[-];{(2,2,4,8)})
  ... and with signature (0;+;[-];{(2,2,8,4)})
Group of order 128 # 1773 acting with signature (0;+;[-];{(2,2,8,4)})
  ... and with signature (0;+;[-];{(2,2,4,8)})
Group of order 128 # 1787 acting with signature (0;+;[-];{(2,2,8,4)})
  ... and with signature (0;+;[-];{(2,2,4,8)})
Group of order 128 # 1876 acting with signature (0;+;[-];{(2,2,4,8)})
  ... and with signature (0;+;[-];{(2,2,8,4)})
Group of order 128 # 1880 acting with signature (0;+;[-];{(2,2,4,8)})
  ... and with signature (0;+;[-];{(2,2,8,4)})
Group of order 128 # 1887 acting with signature (0;+;[-];{(2,2,8,4)})
  ... and with signature (0;+;[-];{(2,2,4,8)})
Group of order 128 # 1920 acting with signature (0;+;[-];{(2,2,8,4)})
  ... and with signature (0;+;[-];{(2,2,4,8)})
Group of order 128 # 1926 acting with signature (0;+;[-];{(2,2,8,4)})
  ... and with signature (0;+;[-];{(2,2,4,8)})
Group of order 160 # 78 acting with signature (0;+;[2,8,8];{-})
Group of order 160 # 81 acting with signature (0;+;[4,4,4];{-})
Group of order 160 # 86 acting with signature (0;+;[4,4,4];{-})
Group of order 160 # 88 acting with signature (0;+;[2,8,8];{-})
Group of order 160 # 101 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 160 # 114 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 160 # 115 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 160 # 123 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 160 # 127 acting with signature (0;+;[-];{(1),(2)})
Group of order 160 # 128 acting with signature (0;+;[-];{(1),(2)})
Group of order 160 # 132 acting with signature (0;+;[-];{(2,2,4,4)})
  ... and with signature (0;+;[2];{(4,4)})
  ... and with signature (0;+;[4];{(2,2)})
Group of order 160 # 134 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 160 # 137 acting with signature (0;+;[2];{(4,4)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 160 # 148 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 160 # 149 acting with signature (0;+;[2,4];{(1)})
Group of order 160 # 150 acting with signature (0;+;[2,4];{(1)})
Group of order 160 # 153 acting with signature (0;+;[2,4];{(1)})
Group of order 160 # 171 acting with signature (0;+;[2,4];{(1)})
Group of order 160 # 174 acting with signature (0;+;[2,4];{(1)})
Group of order 160 # 176 acting with signature (0;+;[-];{(1),(2)})
Group of order 160 # 181 acting with signature (0;+;[-];{(1),(2)})
Group of order 160 # 182 acting with signature (0;+;[-];{(1),(2)})
Group of order 160 # 184 acting with signature (0;+;[-];{(1),(2)})
Group of order 160 # 191 acting with signature (0;+;[-];{(1),(2)})
Group of order 160 # 197 acting with signature (0;+;[-];{(1),(2)})
Group of order 160 # 207 acting with signature (0;+;[2,4];{(1)})
Group of order 160 # 212 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 160 # 216 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 160 # 223 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 160 # 227 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 160 # 237 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 192 # 4 acting with signature (0;+;[3,3,8];{-})
Group of order 192 # 29 acting with signature (0;+;[2,4,24];{-})
  ... and with signature (0;+;[4];{(12)})
Group of order 192 # 129 acting with signature (0;+;[24];{(2)})
Group of order 192 # 519 acting with signature (0;+;[-];{(4,4,12)})
Group of order 192 # 953 acting with signature (0;+;[8];{(3)})
Group of order 192 # 958 acting with signature (0;+;[8];{(3)})
Group of order 192 # 960 acting with signature (0;+;[2,4,24];{-})
  ... and with signature (0;+;[4];{(12)})
Group of order 192 # 961 acting with signature (0;+;[2,4,24];{-})
  ... and with signature (0;+;[-];{(2,24,24)})
  ... and with signature (0;+;[4];{(12)})
  ... and with signature (0;+;[2];{(3,4)})
  ... and with signature (0;+;[2];{(2,12)})
Group of order 192 # 974 acting with signature (0;+;[2,6,8];{-})
  ... and with signature (0;+;[-];{(3,8,8)})
Group of order 192 # 980 acting with signature (0;+;[2,6,8];{-})
Group of order 192 # 1003 acting with signature (0;+;[6];{(4)})
Group of order 192 # 1010 acting with signature (0;+;[24];{(2)})
Group of order 192 # 1011 acting with signature (0;+;[24];{(2)})
Group of order 192 # 1014 acting with signature (0;+;[6];{(4)})
Group of order 192 # 1052 acting with signature (0;+;[-];{(2,2,12,2)})
  ... and with signature (0;+;[-];{(2,2,2,12)})
Group of order 192 # 1471 acting with signature (0;+;[-];{(4,4,12)})
Group of order 192 # 1475 acting with signature (0;+;[-];{(4,6,6)})
  ... and with signature (0;+;[-];{(2,2,4,3)})
  ... and with signature (0;+;[-];{(2,2,3,4)})
Group of order 192 # 1480 acting with signature (0;+;[-];{(2,2,3,4)})
  ... and with signature (0;+;[-];{(2,2,4,3)})
Group of order 192 # 1482 acting with signature (0;+;[-];{(2,2,3,4)})
  ... and with signature (0;+;[-];{(2,2,4,3)})
Group of order 224 # 195 acting with signature (0;+;[14];{(2)})
Group of order 240 # 91 acting with signature (0;+;[2,4,12];{-})
  ... and with signature (0;+;[3,4,4];{-})
  ... and with signature (1;-;[2,3];{-})
Group of order 240 # 92 acting with signature (1;-;[2,3];{-})
Group of order 240 # 96 acting with signature (0;+;[2,4,12];{-})
Group of order 320 # 202 acting with signature (0;+;[2,4,8];{-})
Group of order 320 # 206 acting with signature (0;+;[2,4,8];{-})
Group of order 320 # 1159 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 320 # 1260 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 320 # 1281 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 320 # 1325 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 320 # 1418 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 320 # 1444 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 320 # 1446 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 320 # 1635 acting with signature (0;+;[2,4,8];{-})
Group of order 384 # 570 acting with signature (0;+;[2,3,16];{-})
  ... and with signature (0;+;[-];{(3,3,8)})
Group of order 384 # 608 acting with signature (0;+;[3];{(8)})
Group of order 384 # 682 acting with signature (0;+;[-];{(2,4,24)})
Group of order 384 # 17958 acting with signature (0;+;[-];{(2,6,8)})
Group of order 384 # 18015 acting with signature (0;+;[-];{(2,4,24)})
Group of order 384 # 18019 acting with signature (0;+;[-];{(2,4,24)})
Group of order 384 # 18032 acting with signature (0;+;[-];{(2,6,8)})
Group of order 480 # 943 acting with signature (0;+;[4];{(3)})
Group of order 480 # 944 acting with signature (0;+;[6];{(2)})
Group of order 480 # 951 acting with signature (0;+;[2,4,6];{-})
  ... and with signature (0;+;[-];{(2,4,12)})
  ... and with signature (0;+;[-];{(3,4,4)})
  ... and with signature (0;+;[2];{(2,3)})
Group of order 480 # 956 acting with signature (0;+;[2];{(2,3)})
Group of order 480 # 1187 acting with signature (0;+;[-];{(2,2,2,3)})
Group of order 768 # 1085768 acting with signature (0;+;[-];{(2,3,16)})
Group of order 960 # 10871 acting with signature (0;+;[-];{(2,4,6)})
Number of different groups of symmetric genus 21 = 121

...........................................................................

Groups with symmetric genus 22
Group of order 84 # 2 acting with signature (0;+;[3,12,12];{-})
  ... and with signature (1;-;[3,6];{-})
Group of order 84 # 9 acting with signature (0;+;[6,6,6];{-})
  ... and with signature (0;+;[3,6];{(1)})
Group of order 126 # 7 acting with signature (0;+;[3,6,6];{-})
  ... and with signature (0;+;[3,3];{(1)})
  ... and with signature (1;-;[3,3];{-})
Group of order 126 # 8 acting with signature (0;+;[3,6,6];{-})
  ... and with signature (0;+;[3,3];{(1)})
  ... and with signature (1;-;[3,3];{-})
Group of order 126 # 10 acting with signature (0;+;[3,6,6];{-})
  ... and with signature (0;+;[3,3];{(1)})
  ... and with signature (1;-;[3,3];{-})
Group of order 168 # 9 acting with signature (0;+;[2,6,12];{-})
Group of order 168 # 11 acting with signature (0;+;[2,6,12];{-})
Group of order 168 # 45 acting with signature (0;+;[-];{(1),(2)})
  ... and with signature (1;-;[-];{(2)})
Group of order 168 # 48 acting with signature (0;+;[-];{(1),(2)})
  ... and with signature (1;-;[-];{(2)})
Group of order 252 # 26 acting with signature (0;+;[2,6,6];{-})
  ... and with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 252 # 27 acting with signature (0;+;[3,3,6];{-})
Group of order 252 # 30 acting with signature (0;+;[2,6,6];{-})
  ... and with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 336 # 212 acting with signature (0;+;[-];{(2,2,2,4)})
  ... and with signature (0;+;[2];{(2,4)})
Group of order 504 # 157 acting with signature (0;+;[3,3,4];{-})
Group of order 504 # 160 acting with signature (0;+;[2,3,12];{-})
Group of order 1008 # 881 acting with signature (0;+;[2,3,8];{-})
  ... and with signature (0;+;[-];{(3,3,4)})
Group of order 1008 # 882 acting with signature (0;+;[3];{(4)})
Group of order 1008 # 883 acting with signature (0;+;[-];{(3,3,4)})
Group of order 1008 # 884 acting with signature (0;+;[3];{(4)})
Group of order 2016 acting with signature (0;+;[-];{(2,3,8)})
Group of order 2016 acting with signature (0;+;[-];{(2,3,8)})
Number of different groups of symmetric genus 22 = 21

...........................................................................

Groups with symmetric genus 23
Group of order 96 # 23 acting with signature (0;+;[4,4,24];{-})
Group of order 96 # 24 acting with signature (0;+;[4,4,24];{-})
Group of order 96 # 39 acting with signature (0;+;[4,6,8];{-})
Group of order 96 # 44 acting with signature (0;+;[4,6,8];{-})
Group of order 96 # 116 acting with signature (0;+;[2,24];{(1)})
  ... and with signature (0;+;[-];{(1),(12)})
Group of order 96 # 145 acting with signature (0;+;[-];{(3,4,4,4)})
Group of order 192 # 77 acting with signature (0;+;[2,4,48];{-})
  ... and with signature (0;+;[4];{(24)})
Group of order 192 # 155 acting with signature (0;+;[48];{(2)})
Group of order 192 # 293 acting with signature (0;+;[-];{(4,4,24)})
Group of order 192 # 694 acting with signature (0;+;[-];{(4,4,24)})
Group of order 192 # 715 acting with signature (0;+;[-];{(4,6,8)})
Group of order 192 # 757 acting with signature (0;+;[-];{(4,6,8)})
Group of order 192 # 1307 acting with signature (0;+;[-];{(2,2,24,2)})
  ... and with signature (0;+;[-];{(2,2,2,24)})
Group of order 384 # 1696 acting with signature (0;+;[-];{(2,4,48)})
Number of different groups of symmetric genus 23 = 14

...........................................................................

Groups with symmetric genus 24
Group of order 108 # 3 acting with signature (0;+;[2,27,27];{-})
Group of order 216 # 21 acting with signature (0;+;[2,4,27];{-})
  ... and with signature (0;+;[-];{(2,27,27)})
Group of order 216 # 22 acting with signature (0;+;[27];{(2)})
Group of order 432 # 224 acting with signature (0;+;[-];{(2,4,27)})
Number of different groups of symmetric genus 24 = 4

...........................................................................

Groups with symmetric genus 25
Group of order 64 # 69 acting with signature (0;+;[2,4,4,4];{-})
  ... and with signature (0;+;[4,4];{(2)})
Group of order 64 # 74 acting with signature (0;+;[2,4,4,4];{-})
  ... and with signature (0;+;[4,4];{(2)})
Group of order 64 # 77 acting with signature (0;+;[2,4,4,4];{-})
  ... and with signature (0;+;[4,4];{(2)})
Group of order 64 # 78 acting with signature (0;+;[2,4,4,4];{-})
  ... and with signature (0;+;[4,4];{(2)})
Group of order 64 # 80 acting with signature (0;+;[2,4,4,4];{-})
  ... and with signature (0;+;[4,4];{(2)})
Group of order 64 # 85 acting with signature (0;+;[8,8];{(1)})
  ... and with signature (1;-;[4];{(1)})
Group of order 64 # 104 acting with signature (0;+;[8,8];{(1)})
  ... and with signature (1;-;[4];{(1)})
Group of order 64 # 110 acting with signature (0;+;[8,8];{(1)})
Group of order 64 # 111 acting with signature (0;+;[8,8];{(1)})
Group of order 64 # 112 acting with signature (0;+;[8,8];{(1)})
  ... and with signature (1;-;[4];{(1)})
Group of order 64 # 113 acting with signature (0;+;[8,8];{(1)})
  ... and with signature (1;-;[4];{(1)})
Group of order 64 # 145 acting with signature (0;+;[2,4,4,4];{-})
  ... and with signature (0;+;[4,4];{(2)})
Group of order 64 # 151 acting with signature (0;+;[4,4];{(2)})
Group of order 64 # 166 acting with signature (0;+;[4,4];{(2)})
Group of order 64 # 169 acting with signature (0;+;[2,4,4,4];{-})
  ... and with signature (0;+;[4,4];{(2)})
Group of order 64 # 170 acting with signature (0;+;[2,4,4,4];{-})
  ... and with signature (0;+;[4,4];{(2)})
Group of order 64 # 178 acting with signature (0;+;[2,4,4,4];{-})
  ... and with signature (0;+;[4,4];{(2)})
Group of order 64 # 192 acting with signature (0;+;[4];{(1),(1)})
Group of order 64 # 194 acting with signature (0;+;[4];{(1),(1)})
Group of order 64 # 195 acting with signature (0;+;[4];{(1),(1)})
Group of order 64 # 204 acting with signature (0;+;[4];{(1),(1)})
Group of order 64 # 217 acting with signature (0;+;[2,2,4];{(1)})
  ... and with signature (0;+;[-];{(4,4),(1)})
  ... and with signature (0;+;[2];{(1),(2)})
  ... and with signature (0;+;[4];{(1),(1)})
Group of order 64 # 223 acting with signature (0;+;[2,2,4];{(1)})
  ... and with signature (0;+;[-];{(4,4),(1)})
  ... and with signature (0;+;[4];{(1),(1)})
  ... and with signature (0;+;[2];{(1),(2)})
Group of order 64 # 224 acting with signature (0;+;[4];{(1),(1)})
Group of order 64 # 230 acting with signature (0;+;[4];{(1),(1)})
Group of order 64 # 233 acting with signature (0;+;[4];{(1),(1)})
Group of order 64 # 235 acting with signature (0;+;[4];{(1),(1)})
Group of order 64 # 244 acting with signature (0;+;[4];{(1),(1)})
Group of order 64 # 252 acting with signature (0;+;[4];{(1),(1)})
Group of order 64 # 260 acting with signature (0;+;[4];{(2,2,2,2)})
  ... and with signature (0;+;[-];{(2,2,2),(1)})
Group of order 72 # 50 acting with signature (0;+;[6,6];{(1)})
  ... and with signature (0;+;[3];{(1),(1)})
Group of order 81 # 6 acting with signature (0;+;[3,27,27];{-})
Group of order 96 # 9 acting with signature (2;-;[2];{-})
Group of order 96 # 10 acting with signature (2;-;[2];{-})
Group of order 96 # 14 acting with signature (1;-;[4,4];{-})
Group of order 96 # 15 acting with signature (1;-;[4,4];{-})
Group of order 96 # 17 acting with signature (1;-;[4,4];{-})
Group of order 96 # 20 acting with signature (1;-;[4,4];{-})
Group of order 96 # 21 acting with signature (1;-;[4,4];{-})
Group of order 96 # 22 acting with signature (1;-;[4,4];{-})
Group of order 96 # 29 acting with signature (2;-;[2];{-})
Group of order 96 # 31 acting with signature (1;-;[4,4];{-})
Group of order 96 # 34 acting with signature (0;+;[4,4];{(1)})
  ... and with signature (1;-;[4,4];{-})
Group of order 96 # 36 acting with signature (1;-;[4,4];{-})
Group of order 96 # 37 acting with signature (2;-;[2];{-})
Group of order 96 # 40 acting with signature (2;-;[2];{-})
Group of order 96 # 42 acting with signature (1;-;[4,4];{-})
Group of order 96 # 43 acting with signature (2;-;[2];{-})
Group of order 96 # 45 acting with signature (1;+;[2];{-})
  ... and with signature (2;-;[2];{-})
Group of order 96 # 47 acting with signature (1;+;[2];{-})
  ... and with signature (2;-;[2];{-})
Group of order 96 # 51 acting with signature (1;+;[2];{-})
  ... and with signature (2;-;[2];{-})
Group of order 96 # 53 acting with signature (2;-;[2];{-})
Group of order 96 # 56 acting with signature (2;-;[2];{-})
Group of order 96 # 78 acting with signature (0;+;[4,4];{(1)})
Group of order 96 # 79 acting with signature (0;+;[4,4];{(1)})
Group of order 96 # 82 acting with signature (0;+;[2,2,4,4];{-})
  ... and with signature (0;+;[2,4,2,4];{-})
  ... and with signature (0;+;[2,4];{(2)})
  ... and with signature (0;+;[-];{(2),(2)})
Group of order 96 # 90 acting with signature (0;+;[4];{(4,4)})
  ... and with signature (0;+;[2,4];{(2)})
  ... and with signature (0;+;[4,4];{(1)})
Group of order 96 # 92 acting with signature (0;+;[4];{(4,4)})
  ... and with signature (0;+;[2,4];{(2)})
Group of order 96 # 98 acting with signature (0;+;[4,4];{(1)})
Group of order 96 # 99 acting with signature (0;+;[4,4];{(1)})
Group of order 96 # 103 acting with signature (0;+;[4,4];{(1)})
Group of order 96 # 104 acting with signature (0;+;[4,4];{(1)})
Group of order 96 # 112 acting with signature (0;+;[4,4];{(1)})
Group of order 96 # 119 acting with signature (0;+;[-];{(4,4,4,4)})
  ... and with signature (0;+;[4];{(4,4)})
  ... and with signature (0;+;[4,4];{(1)})
  ... and with signature (1;-;[2];{(1)})
Group of order 96 # 122 acting with signature (0;+;[4];{(4,4)})
  ... and with signature (1;-;[2];{(1)})
Group of order 96 # 124 acting with signature (0;+;[4,4];{(1)})
Group of order 96 # 129 acting with signature (0;+;[4,4];{(1)})
Group of order 96 # 130 acting with signature (0;+;[4,4];{(1)})
Group of order 96 # 131 acting with signature (0;+;[4,4];{(1)})
Group of order 96 # 132 acting with signature (0;+;[4,4];{(1)})
Group of order 96 # 133 acting with signature (0;+;[4,4];{(1)})
Group of order 96 # 140 acting with signature (0;+;[4,4];{(1)})
Group of order 96 # 153 acting with signature (0;+;[4,4];{(1)})
Group of order 96 # 154 acting with signature (0;+;[2,2,4,4];{-})
  ... and with signature (0;+;[2,4,2,4];{-})
  ... and with signature (0;+;[2,4];{(2)})
  ... and with signature (0;+;[-];{(2),(2)})
Group of order 96 # 158 acting with signature (0;+;[4,4];{(1)})
Group of order 96 # 159 acting with signature (0;+;[4,4];{(1)})
Group of order 96 # 171 acting with signature (0;+;[-];{(2),(2)})
Group of order 96 # 174 acting with signature (0;+;[-];{(2),(2)})
Group of order 96 # 199 acting with signature (1;+;[2];{-})
  ... and with signature (2;-;[2];{-})
Group of order 96 # 203 acting with signature (0;+;[2,3,3,3];{-})
Group of order 96 # 206 acting with signature (0;+;[4];{(2,2,2)})
  ... and with signature (0;+;[-];{(2,2),(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 96 # 210 acting with signature (0;+;[-];{(4,4,4,4)})
  ... and with signature (0;+;[-];{(2,2),(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 96 # 214 acting with signature (0;+;[2,2,2,2,2];{-})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 96 # 217 acting with signature (0;+;[-];{(4,4,4,4)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 96 # 220 acting with signature (0;+;[-];{(2,2),(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 96 # 221 acting with signature (0;+;[-];{(2,2),(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 96 # 223 acting with signature (0;+;[-];{(2,2),(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 96 # 224 acting with signature (0;+;[-];{(2,2),(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 96 # 225 acting with signature (0;+;[2];{(1),(1)})
Group of order 108 # 18 acting with signature (0;+;[3,9,9];{-})
Group of order 108 # 19 acting with signature (0;+;[3,9,9];{-})
Group of order 112 # 18 acting with signature (0;+;[4,4,14];{-})
Group of order 112 # 32 acting with signature (0;+;[2,14];{(1)})
  ... and with signature (0;+;[-];{(1),(7)})
Group of order 128 # 16 acting with signature (0;+;[4,4,8];{-})
Group of order 128 # 21 acting with signature (0;+;[4,4,8];{-})
Group of order 128 # 26 acting with signature (0;+;[4,4,8];{-})
Group of order 128 # 29 acting with signature (0;+;[4,4,8];{-})
Group of order 128 # 76 acting with signature (0;+;[4,4,8];{-})
Group of order 128 # 83 acting with signature (0;+;[4,4,8];{-})
Group of order 128 # 84 acting with signature (0;+;[4,4,8];{-})
Group of order 128 # 122 acting with signature (0;+;[4,4,8];{-})
Group of order 128 # 123 acting with signature (0;+;[4,4,8];{-})
Group of order 128 # 139 acting with signature (0;+;[4,4,8];{-})
Group of order 128 # 146 acting with signature (0;+;[4,4,8];{-})
Group of order 128 # 194 acting with signature (0;+;[8];{(2,2)})
Group of order 128 # 206 acting with signature (0;+;[8];{(2,2)})
  ... and with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 208 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 209 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 210 acting with signature (0;+;[8];{(2,2)})
Group of order 128 # 212 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 215 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 218 acting with signature (0;+;[8];{(2,2)})
Group of order 128 # 222 acting with signature (0;+;[8];{(2,2)})
Group of order 128 # 224 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 226 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 236 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 254 acting with signature (0;+;[8];{(2,2)})
  ... and with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 256 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 259 acting with signature (0;+;[8];{(2,2)})
Group of order 128 # 262 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 264 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 265 acting with signature (0;+;[8];{(2,2)})
Group of order 128 # 270 acting with signature (0;+;[8];{(2,2)})
  ... and with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 272 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 277 acting with signature (0;+;[8];{(2,2)})
Group of order 128 # 279 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 283 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 287 acting with signature (0;+;[8];{(2,2)})
Group of order 128 # 328 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 333 acting with signature (0;+;[4];{(2,4)})
Group of order 128 # 339 acting with signature (0;+;[4];{(2,4)})
Group of order 128 # 345 acting with signature (0;+;[4];{(2,4)})
Group of order 128 # 352 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 354 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 359 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 389 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 391 acting with signature (0;+;[4];{(2,4)})
Group of order 128 # 511 acting with signature (0;+;[8];{(2,2)})
Group of order 128 # 515 acting with signature (0;+;[8];{(2,2)})
Group of order 128 # 522 acting with signature (0;+;[4];{(2,4)})
Group of order 128 # 606 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 619 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 628 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 643 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 848 acting with signature (0;+;[-];{(1),(4)})
Group of order 128 # 849 acting with signature (0;+;[-];{(1),(4)})
Group of order 128 # 862 acting with signature (0;+;[8];{(2,2)})
  ... and with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 864 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 865 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 866 acting with signature (0;+;[8];{(2,2)})
  ... and with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 874 acting with signature (0;+;[8];{(2,2)})
  ... and with signature (0;+;[2,8];{(1)})
Group of order 128 # 875 acting with signature (0;+;[8];{(2,2)})
Group of order 128 # 878 acting with signature (0;+;[8];{(2,2)})
  ... and with signature (0;+;[2,8];{(1)})
Group of order 128 # 880 acting with signature (0;+;[2,8];{(1)})
Group of order 128 # 923 acting with signature (0;+;[4];{(2,4)})
Group of order 128 # 935 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 128 # 1136 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 1156 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 1271 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 1349 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 1400 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 1401 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 1402 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 1410 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 1544 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 1579 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 1742 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 1752 acting with signature (0;+;[-];{(2,2,8,8)})
  ... and with signature (0;+;[2];{(2,2,4)})
Group of order 128 # 1770 acting with signature (0;+;[-];{(2,2,8,8)})
  ... and with signature (0;+;[2];{(2,2,4)})
Group of order 128 # 1794 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 1797 acting with signature (0;+;[-];{(2,2,8,8)})
Group of order 128 # 1800 acting with signature (0;+;[-];{(2,2,8,8)})
Group of order 128 # 1883 acting with signature (0;+;[-];{(2,2,8,8)})
  ... and with signature (0;+;[2];{(2,2,4)})
Group of order 128 # 1930 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 1937 acting with signature (0;+;[-];{(2,2,8,8)})
  ... and with signature (0;+;[2];{(2,2,4)})
Group of order 128 # 1949 acting with signature (0;+;[-];{(2,2,8,8)})
  ... and with signature (0;+;[2];{(2,2,4)})
Group of order 128 # 1999 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 2000 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 2007 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 2014 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 2021 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 2029 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 2038 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 2051 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 2054 acting with signature (0;+;[-];{(2,4,4,4)})
Group of order 128 # 2164 acting with signature (0;+;[-];{(2,2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,2,4)})
  ... and with signature (0;+;[-];{(2,2,4,2,2)})
Group of order 128 # 2172 acting with signature (0;+;[-];{(2,2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,2,4)})
  ... and with signature (0;+;[-];{(2,2,4,2,2)})
Group of order 128 # 2178 acting with signature (0;+;[-];{(2,2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,2,4)})
  ... and with signature (0;+;[-];{(2,2,4,2,2)})
Group of order 128 # 2195 acting with signature (0;+;[-];{(2,2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,2,4)})
  ... and with signature (0;+;[-];{(2,2,4,2,2)})
Group of order 128 # 2200 acting with signature (0;+;[-];{(2,2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,2,4)})
  ... and with signature (0;+;[-];{(2,2,4,2,2)})
Group of order 128 # 2217 acting with signature (0;+;[-];{(2,2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,2,4)})
  ... and with signature (0;+;[-];{(2,2,4,2,2)})
Group of order 128 # 2222 acting with signature (0;+;[-];{(2,2,4,2,2)})
  ... and with signature (0;+;[-];{(2,2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,2,4)})
Group of order 128 # 2251 acting with signature (0;+;[-];{(2,2,2,2,4)})
  ... and with signature (0;+;[-];{(2,2,4,2,2)})
  ... and with signature (0;+;[-];{(2,2,2,4,2)})
Group of order 128 # 2258 acting with signature (0;+;[-];{(2,2,4,2,2)})
  ... and with signature (0;+;[-];{(2,2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,2,4)})
Group of order 128 # 2274 acting with signature (0;+;[-];{(2,2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,2,4)})
  ... and with signature (0;+;[-];{(2,2,4,2,2)})
Group of order 128 # 2277 acting with signature (0;+;[-];{(2,2,4,2,2)})
  ... and with signature (0;+;[-];{(2,2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,2,4)})
Group of order 128 # 2281 acting with signature (0;+;[-];{(2,2,4,2,2)})
  ... and with signature (0;+;[-];{(2,2,2,2,4)})
  ... and with signature (0;+;[-];{(2,2,2,4,2)})
Group of order 128 # 2290 acting with signature (0;+;[-];{(2,2,4,2,2)})
  ... and with signature (0;+;[-];{(2,2,2,2,4)})
  ... and with signature (0;+;[-];{(2,2,2,4,2)})
Group of order 128 # 2309 acting with signature (0;+;[-];{(2,2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,2,4)})
  ... and with signature (0;+;[-];{(2,2,4,2,2)})
Group of order 128 # 2314 acting with signature (0;+;[-];{(2,2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,2,4)})
  ... and with signature (0;+;[-];{(2,2,4,2,2)})
Group of order 128 # 2318 acting with signature (0;+;[-];{(2,2,2,4,2)})
  ... and with signature (0;+;[-];{(2,2,2,2,4)})
  ... and with signature (0;+;[-];{(2,2,4,2,2)})
Group of order 144 # 121 acting with signature (1;-;[3,3];{-})
Group of order 144 # 123 acting with signature (0;+;[3,4,12];{-})
Group of order 144 # 129 acting with signature (0;+;[3,4,12];{-})
Group of order 144 # 139 acting with signature (0;+;[2,6];{(1)})
  ... and with signature (0;+;[-];{(1),(3)})
Group of order 144 # 147 acting with signature (0;+;[2,6];{(1)})
  ... and with signature (0;+;[-];{(1),(3)})
Group of order 144 # 149 acting with signature (0;+;[-];{(1),(3)})
Group of order 144 # 156 acting with signature (0;+;[3,6,6];{-})
  ... and with signature (0;+;[3,3];{(1)})
Group of order 144 # 157 acting with signature (0;+;[3,3];{(1)})
  ... and with signature (1;-;[3,3];{-})
Group of order 144 # 163 acting with signature (0;+;[2,6];{(1)})
  ... and with signature (0;+;[-];{(1),(3)})
Group of order 144 # 167 acting with signature (0;+;[6];{(2,2)})
  ... and with signature (0;+;[2,6];{(1)})
  ... and with signature (0;+;[-];{(1),(3)})
Group of order 144 # 196 acting with signature (0;+;[-];{(2,2,6,6)})
  ... and with signature (0;+;[-];{(2,2,2,3,2)})
  ... and with signature (0;+;[-];{(2,2,2,2,3)})
  ... and with signature (0;+;[-];{(2,2,3,2,2)})
Group of order 162 # 9 acting with signature (0;+;[2,6,27];{-})
Group of order 192 # 10 acting with signature (1;-;[2,4];{-})
  ... and with signature (1;-;[-];{(2)})
Group of order 192 # 23 acting with signature (1;-;[2,4];{-})
  ... and with signature (1;-;[-];{(2)})
Group of order 192 # 27 acting with signature (1;-;[2,4];{-})
  ... and with signature (1;-;[-];{(2)})
Group of order 192 # 30 acting with signature (1;-;[2,4];{-})
  ... and with signature (1;-;[-];{(2)})
Group of order 192 # 36 acting with signature (1;-;[2,4];{-})
  ... and with signature (1;-;[-];{(2)})
Group of order 192 # 42 acting with signature (1;-;[2,4];{-})
  ... and with signature (1;-;[-];{(2)})
Group of order 192 # 47 acting with signature (1;-;[2,4];{-})
Group of order 192 # 56 acting with signature (1;-;[2,4];{-})
Group of order 192 # 73 acting with signature (1;-;[-];{(2)})
Group of order 192 # 74 acting with signature (1;-;[-];{(2)})
Group of order 192 # 133 acting with signature (1;-;[-];{(2)})
Group of order 192 # 135 acting with signature (1;-;[-];{(2)})
Group of order 192 # 137 acting with signature (1;-;[-];{(2)})
Group of order 192 # 159 acting with signature (1;-;[-];{(2)})
Group of order 192 # 161 acting with signature (1;-;[-];{(2)})
Group of order 192 # 166 acting with signature (1;-;[-];{(2)})
Group of order 192 # 167 acting with signature (1;-;[-];{(2)})
Group of order 192 # 189 acting with signature (0;+;[3,4,6];{-})
Group of order 192 # 195 acting with signature (0;+;[3,4,6];{-})
Group of order 192 # 197 acting with signature (0;+;[3,4,6];{-})
Group of order 192 # 198 acting with signature (0;+;[3,4,6];{-})
Group of order 192 # 224 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 192 # 230 acting with signature (0;+;[2,2,2,4];{-})
  ... and with signature (0;+;[2,2,4,2];{-})
  ... and with signature (0;+;[2,2];{(2)})
Group of order 192 # 265 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 270 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 192 # 271 acting with signature (0;+;[2,2,2,4];{-})
  ... and with signature (0;+;[2,2,4,2];{-})
  ... and with signature (0;+;[2,2];{(2)})
Group of order 192 # 276 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 283 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 286 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 290 acting with signature (0;+;[4];{(2,2)})
Group of order 192 # 302 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 192 # 303 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 308 acting with signature (0;+;[2,2];{(2)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 192 # 310 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 312 acting with signature (0;+;[2,2,2,4];{-})
  ... and with signature (0;+;[2,2,4,2];{-})
  ... and with signature (0;+;[2,2];{(2)})
  ... and with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 192 # 313 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 328 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 192 # 329 acting with signature (0;+;[4];{(2,2)})
Group of order 192 # 334 acting with signature (0;+;[2];{(4,4)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 192 # 335 acting with signature (0;+;[4];{(2,2)})
Group of order 192 # 340 acting with signature (0;+;[2];{(4,4)})
Group of order 192 # 341 acting with signature (0;+;[2];{(4,4)})
Group of order 192 # 345 acting with signature (0;+;[2];{(4,4)})
Group of order 192 # 363 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 366 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 369 acting with signature (0;+;[2,2];{(2)})
Group of order 192 # 379 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 192 # 380 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 192 # 384 acting with signature (0;+;[4];{(2,2)})
Group of order 192 # 386 acting with signature (0;+;[2];{(4,4)})
Group of order 192 # 393 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 395 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 403 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 192 # 423 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 424 acting with signature (0;+;[2,2];{(2)})
Group of order 192 # 453 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 454 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 457 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 462 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 192 # 465 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 466 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 470 acting with signature (0;+;[-];{(2,2,4,4)})
  ... and with signature (0;+;[2];{(4,4)})
  ... and with signature (0;+;[4];{(2,2)})
Group of order 192 # 472 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 192 # 475 acting with signature (0;+;[2];{(4,4)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 192 # 513 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 192 # 514 acting with signature (0;+;[4];{(2,2)})
Group of order 192 # 572 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 573 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 575 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 595 acting with signature (0;+;[2,2];{(2)})
Group of order 192 # 617 acting with signature (0;+;[2,2];{(2)})
Group of order 192 # 621 acting with signature (0;+;[2,2];{(2)})
Group of order 192 # 632 acting with signature (0;+;[2,2];{(2)})
Group of order 192 # 636 acting with signature (0;+;[2,2];{(2)})
Group of order 192 # 671 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 192 # 672 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 673 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 690 acting with signature (0;+;[4];{(2,2)})
Group of order 192 # 697 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 192 # 698 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 192 # 700 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 703 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 704 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 706 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 710 acting with signature (0;+;[2];{(4,4)})
Group of order 192 # 728 acting with signature (0;+;[4];{(2,2)})
Group of order 192 # 731 acting with signature (0;+;[2];{(4,4)})
Group of order 192 # 735 acting with signature (0;+;[2];{(4,4)})
Group of order 192 # 753 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 761 acting with signature (0;+;[4];{(2,2)})
Group of order 192 # 772 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 776 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 797 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 800 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 803 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 804 acting with signature (0;+;[2,4];{(1)})
Group of order 192 # 819 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 839 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 841 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 842 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 844 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 846 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 868 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 875 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 877 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 880 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 882 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 886 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 887 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 890 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 892 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 896 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 904 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 905 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 936 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 942 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 959 acting with signature (1;-;[2,4];{-})
  ... and with signature (1;-;[-];{(2)})
Group of order 192 # 976 acting with signature (1;-;[2,4];{-})
  ... and with signature (1;-;[-];{(2)})
Group of order 192 # 1015 acting with signature (1;-;[-];{(2)})
Group of order 192 # 1048 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 192 # 1109 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 192 # 1113 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 192 # 1163 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 192 # 1164 acting with signature (0;+;[-];{(2,2,4,4)})
  ... and with signature (0;+;[-];{(2,4,2,4)})
Group of order 192 # 1166 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 192 # 1213 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 192 # 1233 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 192 # 1235 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 192 # 1242 acting with signature (0;+;[-];{(2,4,2,4)})
Group of order 192 # 1273 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 192 # 1276 acting with signature (0;+;[-];{(2,2,4,4)})
  ... and with signature (0;+;[-];{(2,4,2,4)})
Group of order 192 # 1300 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 192 # 1310 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 192 # 1314 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 192 # 1316 acting with signature (0;+;[-];{(2,4,2,4)})
  ... and with signature (0;+;[-];{(2,2,4,4)})
  ... and with signature (0;+;[2];{(2,2,2)})
Group of order 192 # 1321 acting with signature (0;+;[2];{(2,2,2)})
Group of order 192 # 1326 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 192 # 1327 acting with signature (0;+;[-];{(2,4,2,4)})
Group of order 192 # 1329 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 192 # 1337 acting with signature (0;+;[2];{(2,2,2)})
Group of order 192 # 1349 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 192 # 1358 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 192 # 1362 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 192 # 1389 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 192 # 1469 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 192 # 1478 acting with signature (0;+;[2,2,2,4];{-})
  ... and with signature (0;+;[2,2,4,2];{-})
  ... and with signature (0;+;[2,2];{(2)})
  ... and with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 192 # 1490 acting with signature (0;+;[-];{(2,3,3,3)})
  ... and with signature (0;+;[3];{(2,3)})
Group of order 192 # 1496 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 1497 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 1501 acting with signature (0;+;[-];{(1),(2)})
Group of order 192 # 1512 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 192 # 1514 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 192 # 1516 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 192 # 1521 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 192 # 1523 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 192 # 1524 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 192 # 1527 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 216 # 89 acting with signature (0;+;[9];{(3)})
Group of order 216 # 93 acting with signature (0;+;[-];{(3,9,9)})
Group of order 216 # 96 acting with signature (0;+;[2,6,9];{-})
Group of order 216 # 97 acting with signature (0;+;[2,6,9];{-})
Group of order 224 # 12 acting with signature (0;+;[2,4,28];{-})
  ... and with signature (0;+;[4];{(14)})
Group of order 224 # 48 acting with signature (0;+;[28];{(2)})
Group of order 224 # 132 acting with signature (0;+;[-];{(4,4,14)})
Group of order 224 # 180 acting with signature (0;+;[-];{(2,2,14,2)})
  ... and with signature (0;+;[-];{(2,2,2,14)})
Group of order 256 # 42 acting with signature (0;+;[16];{(2)})
Group of order 256 # 64 acting with signature (0;+;[2,4,16];{-})
  ... and with signature (0;+;[4];{(8)})
Group of order 256 # 328 acting with signature (0;+;[16];{(2)})
Group of order 256 # 334 acting with signature (0;+;[16];{(2)})
Group of order 256 # 384 acting with signature (0;+;[2,4,16];{-})
  ... and with signature (0;+;[4];{(8)})
Group of order 256 # 386 acting with signature (0;+;[2,4,16];{-})
  ... and with signature (0;+;[4];{(8)})
Group of order 256 # 394 acting with signature (0;+;[2,4,16];{-})
  ... and with signature (0;+;[4];{(8)})
Group of order 256 # 2902 acting with signature (0;+;[-];{(4,4,8)})
Group of order 256 # 2926 acting with signature (0;+;[-];{(4,4,8)})
Group of order 256 # 3308 acting with signature (0;+;[-];{(4,4,8)})
Group of order 256 # 3314 acting with signature (0;+;[-];{(4,4,8)})
Group of order 256 # 5081 acting with signature (0;+;[-];{(4,4,8)})
Group of order 256 # 5174 acting with signature (0;+;[-];{(4,4,8)})
Group of order 256 # 5178 acting with signature (0;+;[-];{(4,4,8)})
Group of order 256 # 6334 acting with signature (0;+;[-];{(4,4,8)})
Group of order 256 # 6338 acting with signature (0;+;[-];{(4,4,8)})
Group of order 256 # 6666 acting with signature (0;+;[-];{(4,4,8)})
Group of order 256 # 11150 acting with signature (0;+;[-];{(2,2,2,8)})
Group of order 256 # 11462 acting with signature (0;+;[-];{(2,2,2,8)})
Group of order 256 # 11550 acting with signature (0;+;[-];{(2,2,2,8)})
Group of order 256 # 11608 acting with signature (0;+;[-];{(2,2,2,8)})
Group of order 256 # 11670 acting with signature (0;+;[-];{(2,2,2,8)})
Group of order 256 # 11774 acting with signature (0;+;[-];{(2,2,2,8)})
Group of order 256 # 11880 acting with signature (0;+;[-];{(2,2,2,8)})
Group of order 256 # 11966 acting with signature (0;+;[-];{(2,2,2,8)})
Group of order 256 # 12002 acting with signature (0;+;[-];{(2,2,2,8)})
Group of order 256 # 12038 acting with signature (0;+;[-];{(2,2,2,8)})
Group of order 256 # 16885 acting with signature (0;+;[-];{(2,2,2,8)})
Group of order 256 # 16894 acting with signature (0;+;[-];{(2,2,2,8)})
Group of order 256 # 16906 acting with signature (0;+;[-];{(2,2,2,8)})
Group of order 256 # 26522 acting with signature (0;+;[-];{(2,2,2,8)})
Group of order 256 # 26529 acting with signature (0;+;[-];{(2,2,2,8)})
Group of order 256 # 26550 acting with signature (0;+;[-];{(2,2,2,8)})
Group of order 256 # 26556 acting with signature (0;+;[-];{(2,2,2,8)})
Group of order 256 # 26558 acting with signature (0;+;[-];{(2,2,2,8)})
Group of order 288 # 230 acting with signature (0;+;[3,3,6];{-})
Group of order 288 # 846 acting with signature (0;+;[2];{(3,3)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 288 # 850 acting with signature (0;+;[6];{(3)})
Group of order 288 # 855 acting with signature (0;+;[-];{(3,4,12)})
Group of order 288 # 858 acting with signature (0;+;[-];{(3,4,12)})
Group of order 288 # 859 acting with signature (0;+;[3,3,6];{-})
Group of order 288 # 900 acting with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 288 # 901 acting with signature (0;+;[6];{(3)})
Group of order 288 # 903 acting with signature (0;+;[2,3];{(1)})
Group of order 288 # 904 acting with signature (0;+;[2,3];{(1)})
Group of order 288 # 911 acting with signature (0;+;[-];{(3,6,6)})
  ... and with signature (0;+;[-];{(2,2,3,3)})
Group of order 288 # 915 acting with signature (0;+;[-];{(2,2,3,3)})
  ... and with signature (0;+;[2];{(3,3)})
Group of order 288 # 921 acting with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 288 # 923 acting with signature (0;+;[2,6,6];{-})
Group of order 288 # 924 acting with signature (0;+;[3];{(2,2)})
Group of order 288 # 925 acting with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 288 # 962 acting with signature (0;+;[-];{(2,2,2,6)})
Group of order 288 # 977 acting with signature (0;+;[-];{(2,2,2,6)})
Group of order 288 # 1025 acting with signature (0;+;[2,6,6];{-})
  ... and with signature (0;+;[6];{(3)})
Group of order 320 # 1637 acting with signature (0;+;[10];{(2)})
Group of order 384 # 860 acting with signature (0;+;[2];{(2,4)})
Group of order 384 # 926 acting with signature (0;+;[2];{(2,4)})
Group of order 384 # 966 acting with signature (0;+;[2];{(2,4)})
Group of order 384 # 1722 acting with signature (0;+;[2];{(2,4)})
Group of order 384 # 1736 acting with signature (0;+;[2];{(2,4)})
Group of order 384 # 1828 acting with signature (0;+;[2];{(2,4)})
Group of order 384 # 1834 acting with signature (0;+;[2];{(2,4)})
Group of order 384 # 5560 acting with signature (0;+;[-];{(3,4,6)})
Group of order 384 # 5575 acting with signature (0;+;[-];{(3,4,6)})
Group of order 384 # 5581 acting with signature (0;+;[-];{(3,4,6)})
Group of order 384 # 7460 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 11182 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 11246 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 11260 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 11274 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 11293 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 12069 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 12454 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 12476 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 12576 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 12661 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 12852 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 12862 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 12882 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 12926 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 13128 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 13508 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 13517 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 14584 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 14610 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 14612 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 18036 acting with signature (0;+;[2];{(2,4)})
Group of order 384 # 20049 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 20051 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 384 # 20065 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 432 # 521 acting with signature (0;+;[-];{(2,6,9)})
Group of order 448 # 275 acting with signature (0;+;[-];{(2,4,28)})
Group of order 512 acting with signature (0;+;[-];{(2,4,16)})
Group of order 512 acting with signature (0;+;[-];{(2,4,16)})
Group of order 512 acting with signature (0;+;[-];{(2,4,16)})
Group of order 576 # 1982 acting with signature (0;+;[3];{(6)})
Group of order 576 # 1990 acting with signature (0;+;[-];{(3,3,6)})
Group of order 576 # 1997 acting with signature (0;+;[2,3,12];{-})
Group of order 576 # 8270 acting with signature (0;+;[2,3,12];{-})
Group of order 576 # 8271 acting with signature (0;+;[3];{(6)})
Group of order 576 # 8280 acting with signature (0;+;[-];{(3,3,6)})
Group of order 576 # 8319 acting with signature (0;+;[-];{(2,2,2,3)})
Group of order 576 # 8328 acting with signature (0;+;[-];{(2,6,6)})
Group of order 576 # 8331 acting with signature (0;+;[-];{(2,2,2,3)})
Group of order 576 # 8340 acting with signature (0;+;[-];{(2,2,2,3)})
Group of order 576 # 8654 acting with signature (0;+;[-];{(2,6,6)})
Group of order 640 # 21537 acting with signature (0;+;[-];{(2,4,10)})
Group of order 1152 # 154485 acting with signature (0;+;[-];{(2,3,12)})
Group of order 1152 # 157458 acting with signature (0;+;[-];{(2,3,12)})
Number of different groups of symmetric genus 25 = 487

...........................................................................

Groups with symmetric genus 26
Group of order 100 # 11 acting with signature (0;+;[2,4,2,4];{-})
  ... and with signature (0;+;[2,2,4,4];{-})
  ... and with signature (1;-;[2,2,2];{-})
Group of order 125 # 3 acting with signature (0;+;[5,5,5];{-})
Group of order 150 # 7 acting with signature (0;+;[3,6,6];{-})
  ... and with signature (0;+;[3,3];{(1)})
  ... and with signature (1;-;[3,3];{-})
Group of order 200 # 40 acting with signature (0;+;[2,8,8];{-})
  ... and with signature (1;-;[2,4];{-})
Group of order 200 # 42 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 200 # 44 acting with signature (0;+;[4,4,4];{-})
Group of order 250 # 5 acting with signature (0;+;[2,5,10];{-})
  ... and with signature (0;+;[5];{(5)})
Group of order 250 # 8 acting with signature (0;+;[-];{(5,5,5)})
Group of order 300 # 23 acting with signature (0;+;[3,4,4];{-})
Group of order 300 # 24 acting with signature (1;-;[2,3];{-})
Group of order 300 # 26 acting with signature (0;+;[-];{(3,6,6)})
  ... and with signature (0;+;[-];{(2,2,3,3)})
  ... and with signature (0;+;[6];{(3)})
  ... and with signature (0;+;[2];{(3,3)})
  ... and with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 300 # 27 acting with signature (0;+;[2,6,6];{-})
  ... and with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 375 # 2 acting with signature (0;+;[3,3,5];{-})
Group of order 400 # 206 acting with signature (0;+;[8];{(2)})
Group of order 400 # 207 acting with signature (0;+;[-];{(4,4,4)})
Group of order 500 # 27 acting with signature (0;+;[-];{(2,5,10)})
Group of order 600 # 150 acting with signature (0;+;[3,3,4];{-})
Group of order 600 # 151 acting with signature (0;+;[4];{(3)})
Group of order 600 # 154 acting with signature (0;+;[-];{(2,6,6)})
  ... and with signature (0;+;[-];{(2,2,2,3)})
Group of order 660 # 13 acting with signature (0;+;[2,3,11];{-})
Group of order 750 # 5 acting with signature (0;+;[2,3,10];{-})
  ... and with signature (0;+;[-];{(3,3,5)})
Group of order 750 # 6 acting with signature (0;+;[3];{(5)})
Group of order 1200 # 947 acting with signature (0;+;[3];{(4)})
Group of order 1320 # 133 acting with signature (0;+;[-];{(2,3,11)})
Group of order 1500 # 37 acting with signature (0;+;[-];{(2,3,10)})
Number of different groups of symmetric genus 26 = 25

...........................................................................

Groups with symmetric genus 27
Group of order 104 # 3 acting with signature (0;+;[4,8,8];{-})
Group of order 112 # 10 acting with signature (0;+;[4,4,28];{-})
Group of order 112 # 11 acting with signature (0;+;[4,4,28];{-})
Group of order 156 # 1 acting with signature (0;+;[3,4,12];{-})
Group of order 156 # 9 acting with signature (0;+;[2,12,12];{-})
Group of order 156 # 10 acting with signature (0;+;[4,4,6];{-})
Group of order 208 # 28 acting with signature (0;+;[2,8,8];{-})
Group of order 208 # 29 acting with signature (0;+;[2,8,8];{-})
Group of order 208 # 30 acting with signature (0;+;[4,4,4];{-})
Group of order 208 # 31 acting with signature (0;+;[4,4,4];{-})
Group of order 208 # 49 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 224 # 31 acting with signature (0;+;[2,4,56];{-})
  ... and with signature (0;+;[4];{(28)})
Group of order 224 # 49 acting with signature (0;+;[56];{(2)})
Group of order 224 # 79 acting with signature (0;+;[-];{(4,4,28)})
Group of order 224 # 135 acting with signature (0;+;[-];{(4,4,28)})
Group of order 240 # 203 acting with signature (0;+;[30];{(2)})
Group of order 312 # 26 acting with signature (0;+;[3,3,6];{-})
Group of order 312 # 46 acting with signature (0;+;[2,4,12];{-})
Group of order 416 # 82 acting with signature (0;+;[2,4,8];{-})
Group of order 416 # 85 acting with signature (0;+;[2,4,8];{-})
Group of order 448 # 281 acting with signature (0;+;[-];{(2,4,56)})
Group of order 480 # 1199 acting with signature (0;+;[-];{(2,4,30)})
Group of order 624 # 150 acting with signature (0;+;[2,3,12];{-})
Number of different groups of symmetric genus 27 = 23

...........................................................................

Groups with symmetric genus 28
Group of order 54 # 15 acting with signature (0;+;[3,3,6,6];{-})
  ... and with signature (0;+;[3,6,3,6];{-})
  ... and with signature (0;+;[3,3,3];{(1)})
  ... and with signature (1;-;[3,3,3];{-})
Group of order 80 # 3 acting with signature (0;+;[5,16,16];{-})
  ... and with signature (1;-;[5,8];{-})
Group of order 81 # 4 acting with signature (0;+;[9,9,9];{-})
  ... and with signature (1;+;[3];{-})
Group of order 81 # 10 acting with signature (0;+;[9,9,9];{-})
  ... and with signature (1;+;[3];{-})
Group of order 81 # 12 acting with signature (0;+;[3,3,3,3];{-})
Group of order 90 # 5 acting with signature (0;+;[6,6,15];{-})
Group of order 90 # 8 acting with signature (0;+;[15];{(3,3)})
Group of order 108 # 13 acting with signature (0;+;[3,12,12];{-})
  ... and with signature (1;-;[3,6];{-})
Group of order 108 # 20 acting with signature (1;+;[2];{-})
Group of order 108 # 30 acting with signature (0;+;[6,6,6];{-})
  ... and with signature (0;+;[3,6];{(1)})
Group of order 108 # 32 acting with signature (0;+;[3,12,12];{-})
  ... and with signature (1;-;[3,6];{-})
Group of order 108 # 42 acting with signature (0;+;[6,6,6];{-})
  ... and with signature (0;+;[3,6];{(1)})
Group of order 108 # 43 acting with signature (0;+;[2,2,3,6];{-})
  ... and with signature (0;+;[2,2,6,3];{-})
  ... and with signature (0;+;[2,3,2,6];{-})
  ... and with signature (0;+;[3];{(6,6)})
  ... and with signature (0;+;[6];{(3,3)})
  ... and with signature (0;+;[2,3];{(3)})
  ... and with signature (0;+;[3];{(2,2,3)})
Group of order 108 # 44 acting with signature (0;+;[-];{(3,3,6,6)})
  ... and with signature (0;+;[-];{(3,6,3,6)})
  ... and with signature (0;+;[-];{(2,2,3,3,3)})
  ... and with signature (0;+;[2];{(3,3,3)})
Group of order 160 # 64 acting with signature (0;+;[16];{(5)})
Group of order 162 # 6 acting with signature (0;+;[2,9,18];{-})
  ... and with signature (0;+;[9];{(9)})
  ... and with signature (0;+;[-];{(1),(3)})
  ... and with signature (1;-;[-];{(3)})
Group of order 162 # 22 acting with signature (0;+;[2,2,2,6];{-})
  ... and with signature (0;+;[2,2,6,2];{-})
  ... and with signature (0;+;[-];{(9,9,9)})
Group of order 162 # 28 acting with signature (0;+;[3,3];{(1)})
  ... and with signature (1;-;[3,3];{-})
Group of order 162 # 30 acting with signature (0;+;[3,6,6];{-})
  ... and with signature (0;+;[3,3];{(1)})
  ... and with signature (1;-;[3,3];{-})
Group of order 162 # 34 acting with signature (0;+;[3,6,6];{-})
  ... and with signature (0;+;[3,3];{(1)})
  ... and with signature (1;-;[3,3];{-})
Group of order 162 # 35 acting with signature (0;+;[3,6,6];{-})
  ... and with signature (0;+;[3,3];{(1)})
  ... and with signature (1;-;[3,3];{-})
Group of order 162 # 40 acting with signature (0;+;[2,2,3,3];{-})
  ... and with signature (0;+;[2,3,2,3];{-})
  ... and with signature (0;+;[3];{(3,3)})
Group of order 162 # 41 acting with signature (0;+;[2,2,3,3];{-})
  ... and with signature (0;+;[2,3,2,3];{-})
  ... and with signature (0;+;[3];{(3,3)})
Group of order 162 # 46 acting with signature (0;+;[-];{(3,3,3,3)})
Group of order 180 # 26 acting with signature (0;+;[2,6,30];{-})
  ... and with signature (0;+;[6];{(15)})
Group of order 180 # 27 acting with signature (0;+;[-];{(6,6,15)})
Group of order 180 # 28 acting with signature (0;+;[30];{(3)})
Group of order 180 # 30 acting with signature (0;+;[-];{(2,3,2,15)})
Group of order 216 # 36 acting with signature (0;+;[12];{(3)})
Group of order 216 # 50 acting with signature (0;+;[12];{(3)})
Group of order 216 # 51 acting with signature (0;+;[2,6,12];{-})
  ... and with signature (0;+;[6];{(6)})
Group of order 216 # 60 acting with signature (0;+;[2,6,12];{-})
  ... and with signature (0;+;[6];{(6)})
Group of order 216 # 68 acting with signature (0;+;[-];{(3,12,12)})
  ... and with signature (0;+;[2];{(3,6)})
Group of order 216 # 86 acting with signature (0;+;[2,8,8];{-})
Group of order 216 # 88 acting with signature (0;+;[4,4,4];{-})
Group of order 216 # 91 acting with signature (0;+;[-];{(1),(2)})
  ... and with signature (1;-;[-];{(2)})
Group of order 216 # 94 acting with signature (0;+;[2,2,2,4];{-})
  ... and with signature (0;+;[2,2,4,2];{-})
Group of order 216 # 98 acting with signature (0;+;[-];{(1),(2)})
  ... and with signature (1;-;[-];{(2)})
Group of order 216 # 113 acting with signature (0;+;[-];{(6,6,6)})
  ... and with signature (0;+;[-];{(2,2,3,6)})
  ... and with signature (0;+;[-];{(2,2,6,3)})
Group of order 216 # 120 acting with signature (0;+;[12];{(3)})
Group of order 216 # 122 acting with signature (0;+;[2,6,12];{-})
  ... and with signature (0;+;[6];{(6)})
Group of order 216 # 129 acting with signature (0;+;[-];{(3,12,12)})
  ... and with signature (0;+;[2];{(3,6)})
Group of order 216 # 168 acting with signature (0;+;[12];{(3)})
Group of order 216 # 171 acting with signature (0;+;[-];{(6,6,6)})
  ... and with signature (0;+;[-];{(2,2,3,6)})
  ... and with signature (0;+;[-];{(2,2,6,3)})
Group of order 216 # 172 acting with signature (0;+;[-];{(6,6,6)})
  ... and with signature (0;+;[-];{(2,3,2,6)})
Group of order 243 # 3 acting with signature (0;+;[3,3,9];{-})
Group of order 243 # 28 acting with signature (0;+;[3,3,9];{-})
Group of order 324 # 54 acting with signature (0;+;[3,3,6];{-})
Group of order 324 # 68 acting with signature (0;+;[6];{(3)})
Group of order 324 # 69 acting with signature (0;+;[6];{(3)})
Group of order 324 # 72 acting with signature (0;+;[6];{(3)})
  ... and with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 324 # 73 acting with signature (0;+;[2,6,6];{-})
  ... and with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 324 # 77 acting with signature (0;+;[-];{(2,2,3,3)})
  ... and with signature (0;+;[2];{(3,3)})
Group of order 324 # 79 acting with signature (0;+;[-];{(3,6,6)})
  ... and with signature (0;+;[-];{(2,2,3,3)})
  ... and with signature (0;+;[2];{(3,3)})
Group of order 324 # 110 acting with signature (1;-;[2,3];{-})
Group of order 324 # 113 acting with signature (0;+;[3,4,4];{-})
Group of order 324 # 116 acting with signature (0;+;[2,6,6];{-})
  ... and with signature (0;+;[6];{(3)})
  ... and with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 324 # 117 acting with signature (0;+;[2,6,6];{-})
  ... and with signature (0;+;[6];{(3)})
  ... and with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 324 # 121 acting with signature (0;+;[-];{(3,6,6)})
  ... and with signature (0;+;[-];{(2,2,3,3)})
  ... and with signature (0;+;[2];{(3,3)})
Group of order 324 # 122 acting with signature (0;+;[-];{(3,6,6)})
  ... and with signature (0;+;[-];{(2,2,3,3)})
  ... and with signature (0;+;[2];{(3,3)})
Group of order 324 # 124 acting with signature (0;+;[2,2,2,3];{-})
  ... and with signature (0;+;[-];{(2,3,2,3)})
Group of order 360 # 137 acting with signature (0;+;[-];{(2,6,30)})
Group of order 432 # 301 acting with signature (0;+;[-];{(2,6,12)})
Group of order 432 # 324 acting with signature (0;+;[-];{(2,6,12)})
Group of order 432 # 520 acting with signature (0;+;[2,4,8];{-})
Group of order 432 # 522 acting with signature (0;+;[-];{(2,2,2,4)})
  ... and with signature (0;+;[2];{(2,4)})
Group of order 432 # 602 acting with signature (0;+;[-];{(2,6,12)})
Group of order 432 # 756 acting with signature (0;+;[-];{(2,6,12)})
Group of order 486 # 5 acting with signature (0;+;[2,3,18];{-})
  ... and with signature (0;+;[3];{(9)})
Group of order 486 # 39 acting with signature (0;+;[2,3,18];{-})
  ... and with signature (0;+;[3];{(9)})
Group of order 486 # 43 acting with signature (0;+;[-];{(3,3,9)})
Group of order 648 # 262 acting with signature (0;+;[2,3,12];{-})
Group of order 648 # 274 acting with signature (0;+;[-];{(3,3,6)})
Group of order 648 # 290 acting with signature (0;+;[3];{(6)})
Group of order 648 # 299 acting with signature (0;+;[-];{(2,6,6)})
Group of order 648 # 301 acting with signature (0;+;[-];{(2,6,6)})
  ... and with signature (0;+;[-];{(2,2,2,3)})
Group of order 648 # 532 acting with signature (0;+;[3,3,4];{-})
Group of order 648 # 541 acting with signature (0;+;[4];{(3)})
Group of order 648 # 543 acting with signature (0;+;[6];{(2)})
Group of order 648 # 545 acting with signature (0;+;[2,4,6];{-})
  ... and with signature (0;+;[-];{(3,4,4)})
Group of order 648 # 547 acting with signature (0;+;[2];{(2,3)})
Group of order 648 # 555 acting with signature (0;+;[-];{(2,6,6)})
  ... and with signature (0;+;[-];{(2,2,2,3)})
Group of order 648 # 706 acting with signature (0;+;[3];{(6)})
Group of order 972 # 100 acting with signature (0;+;[-];{(2,3,18)})
Group of order 1296 # 1786 acting with signature (0;+;[-];{(2,3,12)})
Group of order 1296 # 2889 acting with signature (0;+;[2,3,8];{-})
Group of order 1296 # 2909 acting with signature (0;+;[-];{(2,4,6)})
Group of order 1296 # 3492 acting with signature (0;+;[-];{(2,3,12)})
Number of different groups of symmetric genus 28 = 88

...........................................................................

Groups with symmetric genus 29
Group of order 64 # 114 acting with signature (0;+;[4,8];{(2)})
Group of order 80 # 47 acting with signature (0;+;[4,20];{(1)})
Group of order 96 # 141 acting with signature (0;+;[4,6];{(1)})
Group of order 96 # 142 acting with signature (0;+;[4,6];{(1)})
Group of order 105 # 1 acting with signature (0;+;[3,15,15];{-})
Group of order 112 # 15 acting with signature (0;+;[4,4];{(1)})
  ... and with signature (1;-;[4,4];{-})
Group of order 112 # 17 acting with signature (1;-;[4,4];{-})
Group of order 112 # 27 acting with signature (0;+;[4,4];{(1)})
Group of order 112 # 33 acting with signature (0;+;[4,4];{(1)})
Group of order 112 # 35 acting with signature (0;+;[4,4];{(1)})
Group of order 112 # 43 acting with signature (0;+;[-];{(2,2),(1)})
  ... and with signature (0;+;[2];{(1),(1)})
Group of order 128 # 72 acting with signature (0;+;[4,4,16];{-})
Group of order 128 # 80 acting with signature (0;+;[4,4,16];{-})
Group of order 128 # 112 acting with signature (0;+;[4,4,16];{-})
Group of order 128 # 116 acting with signature (0;+;[4,4,16];{-})
Group of order 128 # 118 acting with signature (0;+;[4,4,16];{-})
Group of order 128 # 844 acting with signature (0;+;[16];{(2,2)})
Group of order 128 # 871 acting with signature (0;+;[2,16];{(1)})
  ... and with signature (0;+;[-];{(1),(8)})
Group of order 128 # 917 acting with signature (0;+;[2,16];{(1)})
  ... and with signature (0;+;[-];{(1),(8)})
Group of order 128 # 964 acting with signature (0;+;[2,16];{(1)})
  ... and with signature (0;+;[-];{(1),(8)})
Group of order 128 # 965 acting with signature (0;+;[2,16];{(1)})
  ... and with signature (0;+;[-];{(1),(8)})
Group of order 128 # 970 acting with signature (0;+;[2,16];{(1)})
  ... and with signature (0;+;[-];{(1),(8)})
Group of order 128 # 1768 acting with signature (0;+;[-];{(2,4,4,8)})
Group of order 128 # 1777 acting with signature (0;+;[-];{(2,4,8,4)})
Group of order 128 # 1782 acting with signature (0;+;[-];{(2,4,8,4)})
Group of order 128 # 1786 acting with signature (0;+;[-];{(2,4,8,4)})
Group of order 128 # 1832 acting with signature (0;+;[-];{(2,4,4,8)})
Group of order 128 # 1841 acting with signature (0;+;[-];{(2,4,4,8)})
Group of order 128 # 1854 acting with signature (0;+;[-];{(2,4,4,8)})
Group of order 128 # 1885 acting with signature (0;+;[-];{(2,4,4,8)})
Group of order 128 # 1886 acting with signature (0;+;[-];{(2,4,8,4)})
Group of order 128 # 1923 acting with signature (0;+;[-];{(2,4,8,4)})
Group of order 128 # 1929 acting with signature (0;+;[-];{(2,4,8,4)})
Group of order 128 # 1945 acting with signature (0;+;[-];{(2,4,4,8)})
Group of order 128 # 1952 acting with signature (0;+;[-];{(2,4,8,4)})
  ... and with signature (0;+;[-];{(2,4,4,8)})
Group of order 128 # 1956 acting with signature (0;+;[-];{(2,4,8,4)})
Group of order 144 # 33 acting with signature (0;+;[4,4,9];{-})
Group of order 144 # 34 acting with signature (1;-;[2,9];{-})
Group of order 160 # 221 acting with signature (0;+;[-];{(2,2,4,20)})
  ... and with signature (0;+;[-];{(2,2,20,4)})
Group of order 168 # 8 acting with signature (0;+;[2,12,12];{-})
  ... and with signature (1;-;[2,6];{-})
Group of order 168 # 47 acting with signature (0;+;[6];{(2,2)})
  ... and with signature (0;+;[2,6];{(1)})
Group of order 168 # 53 acting with signature (0;+;[3,6,6];{-})
  ... and with signature (0;+;[3,3];{(1)})
  ... and with signature (1;-;[3,3];{-})
Group of order 192 # 180 acting with signature (0;+;[3,4,8];{-})
Group of order 192 # 182 acting with signature (0;+;[3,4,8];{-})
Group of order 192 # 184 acting with signature (0;+;[3,4,8];{-})
Group of order 192 # 951 acting with signature (0;+;[2,8,12];{-})
  ... and with signature (0;+;[8];{(6)})
Group of order 192 # 954 acting with signature (0;+;[2,8,12];{-})
  ... and with signature (0;+;[8];{(6)})
Group of order 192 # 997 acting with signature (0;+;[12];{(4)})
Group of order 192 # 999 acting with signature (0;+;[12];{(4)})
Group of order 192 # 1005 acting with signature (0;+;[12];{(4)})
Group of order 192 # 1148 acting with signature (0;+;[-];{(2,2,6,4)})
  ... and with signature (0;+;[-];{(2,2,4,6)})
Group of order 192 # 1360 acting with signature (0;+;[-];{(2,2,6,4)})
  ... and with signature (0;+;[-];{(2,2,4,6)})
Group of order 192 # 1489 acting with signature (0;+;[3,4,8];{-})
Group of order 192 # 1492 acting with signature (0;+;[3,4,8];{-})
Group of order 192 # 1507 acting with signature (0;+;[3];{(2,4)})
Group of order 192 # 1508 acting with signature (0;+;[3];{(2,4)})
Group of order 210 # 3 acting with signature (0;+;[2,6,15];{-})
Group of order 224 # 75 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 224 # 88 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 224 # 89 acting with signature (0;+;[2,4];{(1)})
  ... and with signature (0;+;[-];{(1),(2)})
Group of order 224 # 97 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 224 # 101 acting with signature (0;+;[-];{(1),(2)})
Group of order 224 # 102 acting with signature (0;+;[-];{(1),(2)})
Group of order 224 # 106 acting with signature (0;+;[-];{(2,2,4,4)})
  ... and with signature (0;+;[2];{(4,4)})
  ... and with signature (0;+;[4];{(2,2)})
Group of order 224 # 108 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 224 # 111 acting with signature (0;+;[2];{(4,4)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 224 # 122 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 224 # 123 acting with signature (0;+;[2,4];{(1)})
Group of order 224 # 124 acting with signature (0;+;[2,4];{(1)})
Group of order 224 # 127 acting with signature (0;+;[2,4];{(1)})
Group of order 224 # 145 acting with signature (0;+;[2,4];{(1)})
Group of order 224 # 148 acting with signature (0;+;[2,4];{(1)})
Group of order 224 # 150 acting with signature (0;+;[-];{(1),(2)})
Group of order 224 # 155 acting with signature (0;+;[-];{(1),(2)})
Group of order 224 # 156 acting with signature (0;+;[-];{(1),(2)})
Group of order 224 # 158 acting with signature (0;+;[-];{(1),(2)})
Group of order 224 # 165 acting with signature (0;+;[-];{(1),(2)})
Group of order 224 # 171 acting with signature (0;+;[-];{(1),(2)})
Group of order 224 # 177 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 224 # 184 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 224 # 188 acting with signature (0;+;[-];{(2,2,4,4)})
Group of order 224 # 196 acting with signature (0;+;[-];{(2,2,2,2,2)})
Group of order 256 # 322 acting with signature (0;+;[32];{(2)})
Group of order 256 # 324 acting with signature (0;+;[32];{(2)})
Group of order 256 # 406 acting with signature (0;+;[2,4,32];{-})
  ... and with signature (0;+;[4];{(16)})
Group of order 256 # 410 acting with signature (0;+;[2,4,32];{-})
  ... and with signature (0;+;[4];{(16)})
Group of order 256 # 5092 acting with signature (0;+;[-];{(4,4,16)})
Group of order 256 # 5104 acting with signature (0;+;[-];{(4,4,16)})
Group of order 256 # 6292 acting with signature (0;+;[-];{(4,4,16)})
Group of order 256 # 6297 acting with signature (0;+;[-];{(4,4,16)})
Group of order 256 # 6304 acting with signature (0;+;[-];{(4,4,16)})
Group of order 256 # 26508 acting with signature (0;+;[-];{(2,2,2,16)})
Group of order 256 # 26740 acting with signature (0;+;[-];{(2,2,2,16)})
Group of order 256 # 26746 acting with signature (0;+;[-];{(2,2,2,16)})
Group of order 288 # 333 acting with signature (0;+;[4];{(9)})
Group of order 288 # 334 acting with signature (0;+;[2];{(2,9)})
Group of order 288 # 342 acting with signature (0;+;[2,4,18];{-})
  ... and with signature (0;+;[-];{(4,4,9)})
Group of order 288 # 344 acting with signature (0;+;[18];{(2)})
Group of order 320 # 1585 acting with signature (0;+;[5];{(4)})
Group of order 336 # 218 acting with signature (0;+;[2,6,6];{-})
  ... and with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 384 # 5572 acting with signature (0;+;[-];{(3,4,8)})
Group of order 384 # 5660 acting with signature (0;+;[-];{(3,4,8)})
Group of order 384 # 17922 acting with signature (0;+;[-];{(2,8,12)})
Group of order 384 # 17944 acting with signature (0;+;[-];{(2,8,12)})
Group of order 384 # 17986 acting with signature (0;+;[-];{(2,8,12)})
Group of order 384 # 20085 acting with signature (0;+;[-];{(3,4,8)})
Group of order 384 # 20086 acting with signature (0;+;[-];{(3,4,8)})
Group of order 384 # 20090 acting with signature (0;+;[-];{(3,4,8)})
Group of order 384 # 20092 acting with signature (0;+;[-];{(3,4,8)})
Group of order 448 # 940 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 448 # 1041 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 448 # 1062 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 448 # 1106 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 448 # 1199 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 448 # 1225 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 448 # 1227 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 512 acting with signature (0;+;[-];{(2,4,32)})
Group of order 512 acting with signature (0;+;[-];{(2,4,32)})
Group of order 576 # 4970 acting with signature (0;+;[-];{(2,4,18)})
Group of order 640 # 21461 acting with signature (0;+;[-];{(2,5,8)})
Group of order 672 # 1255 acting with signature (0;+;[-];{(3,4,4)})
Group of order 1344 # 11684 acting with signature (0;+;[-];{(2,4,6)})
Number of different groups of symmetric genus 29 = 122

...........................................................................

Groups with symmetric genus 30
Group of order 120 # 11 acting with signature (0;+;[4,6,10];{-})
  ... and with signature (0;+;[-];{(3,4,5,4)})
Group of order 132 # 6 acting with signature (0;+;[2,33,33];{-})
Group of order 240 # 138 acting with signature (0;+;[-];{(4,6,10)})
Group of order 264 # 32 acting with signature (0;+;[2,4,33];{-})
  ... and with signature (0;+;[-];{(2,33,33)})
Group of order 264 # 35 acting with signature (0;+;[33];{(2)})
Group of order 528 # 162 acting with signature (0;+;[-];{(2,4,33)})
Number of different groups of symmetric genus 30 = 6

...........................................................................

Groups with symmetric genus 31
Group of order 96 # 150 acting with signature (0;+;[4,8];{(1)})
Group of order 108 # 9 acting with signature (0;+;[4,9,12];{-})
Group of order 120 # 8 acting with signature (0;+;[4,4];{(1)})
  ... and with signature (1;-;[4,4];{-})
Group of order 120 # 9 acting with signature (0;+;[4,4];{(1)})
  ... and with signature (1;-;[4,4];{-})
Group of order 120 # 14 acting with signature (1;-;[4,4];{-})
Group of order 128 # 148 acting with signature (0;+;[4,4,32];{-})
Group of order 128 # 156 acting with signature (0;+;[4,4,32];{-})
Group of order 128 # 996 acting with signature (0;+;[2,32];{(1)})
  ... and with signature (0;+;[-];{(1),(16)})
Group of order 140 # 5 acting with signature (0;+;[2,28,28];{-})
Group of order 140 # 6 acting with signature (0;+;[4,4,14];{-})
Group of order 144 # 116 acting with signature (0;+;[4,4,12];{-})
Group of order 160 # 65 acting with signature (0;+;[2,16,16];{-})
Group of order 160 # 68 acting with signature (0;+;[4,4,8];{-})
Group of order 160 # 69 acting with signature (0;+;[4,4,8];{-})
Group of order 160 # 83 acting with signature (0;+;[4,4,8];{-})
Group of order 160 # 84 acting with signature (0;+;[4,4,8];{-})
Group of order 160 # 121 acting with signature (0;+;[8];{(2,2)})
  ... and with signature (0;+;[2,8];{(1)})
Group of order 160 # 139 acting with signature (0;+;[2,8];{(1)})
  ... and with signature (0;+;[-];{(1),(4)})
Group of order 160 # 162 acting with signature (0;+;[8];{(2,2)})
  ... and with signature (0;+;[2,8];{(1)})
Group of order 160 # 163 acting with signature (0;+;[2,8];{(1)})
Group of order 160 # 194 acting with signature (0;+;[-];{(1),(4)})
Group of order 160 # 198 acting with signature (0;+;[-];{(1),(4)})
Group of order 160 # 200 acting with signature (0;+;[8];{(2,2)})
  ... and with signature (0;+;[2,8];{(1)})
Group of order 160 # 201 acting with signature (0;+;[8];{(2,2)})
  ... and with signature (0;+;[2,8];{(1)})
Group of order 160 # 202 acting with signature (0;+;[8];{(2,2)})
  ... and with signature (0;+;[2,8];{(1)})
Group of order 160 # 206 acting with signature (0;+;[2,8];{(1)})
Group of order 160 # 208 acting with signature (0;+;[2,8];{(1)})
Group of order 192 # 1320 acting with signature (0;+;[-];{(2,2,8,4)})
  ... and with signature (0;+;[-];{(2,2,4,8)})
Group of order 240 # 9 acting with signature (1;-;[2,4];{-})
Group of order 240 # 12 acting with signature (1;-;[2,4];{-})
Group of order 240 # 44 acting with signature (1;-;[-];{(2)})
Group of order 240 # 46 acting with signature (1;-;[-];{(2)})
Group of order 240 # 60 acting with signature (1;-;[-];{(2)})
Group of order 240 # 62 acting with signature (1;-;[-];{(2)})
Group of order 240 # 132 acting with signature (0;+;[2];{(4,4)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 240 # 135 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 240 # 149 acting with signature (0;+;[-];{(2,2,4,4)})
  ... and with signature (0;+;[2];{(4,4)})
  ... and with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 240 # 150 acting with signature (0;+;[-];{(2,2,4,4)})
  ... and with signature (0;+;[2];{(4,4)})
  ... and with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 240 # 159 acting with signature (0;+;[-];{(1),(2)})
Group of order 240 # 162 acting with signature (0;+;[-];{(1),(2)})
Group of order 240 # 169 acting with signature (0;+;[-];{(1),(2)})
Group of order 240 # 172 acting with signature (0;+;[-];{(1),(2)})
Group of order 240 # 195 acting with signature (0;+;[4];{(2,2)})
  ... and with signature (0;+;[2,4];{(1)})
Group of order 240 # 196 acting with signature (0;+;[-];{(1),(2)})
  ... and with signature (1;-;[-];{(2)})
Group of order 240 # 198 acting with signature (0;+;[-];{(1),(2)})
  ... and with signature (1;-;[-];{(2)})
Group of order 256 # 501 acting with signature (0;+;[64];{(2)})
Group of order 256 # 528 acting with signature (0;+;[2,4,64];{-})
  ... and with signature (0;+;[4];{(32)})
Group of order 256 # 6651 acting with signature (0;+;[-];{(4,4,32)})
Group of order 256 # 6685 acting with signature (0;+;[-];{(4,4,32)})
Group of order 256 # 26969 acting with signature (0;+;[-];{(2,2,2,32)})
Group of order 280 # 32 acting with signature (0;+;[2,4,28];{-})
Group of order 288 # 890 acting with signature (0;+;[-];{(4,4,12)})
Group of order 320 # 242 acting with signature (0;+;[2,4,16];{-})
Group of order 320 # 245 acting with signature (0;+;[2,4,16];{-})
Group of order 320 # 1431 acting with signature (0;+;[-];{(2,2,2,8)})
Group of order 320 # 1449 acting with signature (0;+;[-];{(2,2,2,8)})
Group of order 360 # 119 acting with signature (0;+;[2,6,6];{-})
  ... and with signature (0;+;[3];{(2,2)})
  ... and with signature (1;-;[2,3];{-})
  ... and with signature (0;+;[2,3];{(1)})
Group of order 360 # 120 acting with signature (0;+;[3,4,4];{-})
  ... and with signature (0;+;[-];{(2,2,3,3)})
  ... and with signature (0;+;[-];{(2,3,2,3)})
  ... and with signature (0;+;[2];{(3,3)})
Group of order 480 # 557 acting with signature (0;+;[2];{(2,4)})
Group of order 480 # 582 acting with signature (0;+;[2];{(2,4)})
Group of order 480 # 1097 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 480 # 1111 acting with signature (0;+;[-];{(2,2,2,4)})
Group of order 480 # 1193 acting with signature (0;+;[-];{(2,2,2,4)})
  ... and with signature (0;+;[2];{(2,4)})
Group of order 512 acting with signature (0;+;[-];{(2,4,64)})
Group of order 720 # 767 acting with signature (0;+;[2,4,6];{-})
  ... and with signature (0;+;[-];{(2,6,6)})
  ... and with signature (0;+;[-];{(3,4,4)})
  ... and with signature (0;+;[-];{(2,2,2,3)})
  ... and with signature (0;+;[2];{(2,3)})
Group of order 720 # 769 acting with signature (0;+;[6];{(2)})
Group of order 720 # 770 acting with signature (0;+;[4];{(3)})
Group of order 1440 # 5849 acting with signature (0;+;[-];{(2,4,6)})
Number of different groups of symmetric genus 31 = 68

...........................................................................

Groups with symmetric genus 32
Group of order 155 # 1 acting with signature (0;+;[5,5,5];{-})
Group of order 186 # 2 acting with signature (0;+;[3,6,6];{-})
  ... and with signature (0;+;[3,3];{(1)})
  ... and with signature (1;-;[3,3];{-})
Group of order 310 # 1 acting with signature (0;+;[2,5,10];{-})
Group of order 372 # 7 acting with signature (0;+;[2,6,6];{-})
  ... and with signature (0;+;[3];{(2,2)})
  ... and with signature (0;+;[2,3];{(1)})
Number of different groups of symmetric genus 32 = 4

...........................................................................