Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
2650 conjugacy classes of subgroups.
The subgroup lattice has 1060 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10619193 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#66172 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#66113 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10618241 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C5×#3011 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10615698 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10615615 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×#65470 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10615130 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10612005 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #10612000 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #10611942 | C2 | 1 | 4 | yes | maximal, complemented |
| 13 | #10611937 | C2 | 1 | 4 | yes | maximal, complemented |
| 14 | #10610705 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10610695 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10610568 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #10610549 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #10610410 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 19 | #10610388 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | C2×C5×2−1+4 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#4150 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#4150 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#4147 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×C5×#137 | C22 | 1 | 1 | yes | characteristic |
| 25 | C22×C5×Q16 | C22 | 1 | 1 | yes | characteristic |
| 26 | C5×#536 | C22 | 1 | 1 | yes | characteristic |
| 27 | #66172 | — | 2 | 8 | no | — |
| 28 | #66166 | — | 2 | 1 | no | — |
| 29 | #66166 | C22 | 1 | 1 | yes | characteristic |
| 30 | #41×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 31 | #66159 | — | 2 | 1 | no | — |
| 32 | #66159 | C22 | 1 | 1 | yes | characteristic |
| 33 | #66158 | — | 2 | 4 | no | — |
| 34 | #66158 | C22 | 1 | 4 | yes | — |
| 35 | C2×#4097 | C22 | 1 | 2 | yes | — |
| 36 | C2×#4097 | C22 | 1 | 1 | yes | characteristic |
| 37 | C2×#4096 | C22 | 1 | 2 | yes | — |
| 38 | C2×#4096 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×#4094 | C22 | 1 | 1 | yes | characteristic |
| 40 | #66150 | — | 2 | 1 | no | — |
| 41 | #66150 | C22 | 1 | 1 | yes | characteristic |
| 42 | Q8×C22⋊D5 | C22 | 1 | 4 | yes | — |
| 43 | C2×#4090 | — | 2 | 1 | no | — |
| 44 | C2×#4090 | C22 | 1 | 1 | yes | characteristic |
| 45 | C2×#4090 | C22 | 1 | 1 | yes | characteristic |
| 46 | C22×#689 | C22 | 1 | 1 | yes | characteristic |
| 47 | C22×#689 | C22 | 1 | 2 | yes | — |
| 48 | C22×#689 | C22 | 1 | 1 | yes | characteristic |
| 49 | C2×#4088 | C22 | 1 | 1 | yes | characteristic |
| 50 | C2×#4088 | C22 | 1 | 2 | yes | — |
| 51 | #66113 | — | 2 | 8 | no | — |
| 52 | C2×#4064 | C22 | 1 | 2 | yes | — |
| 53 | C2×D5×Q16 | C22 | 1 | 2 | yes | — |
| 54 | C2×#4062 | C22 | 1 | 2 | yes | — |
| 55 | C2×#4061 | C22 | 1 | 2 | yes | — |
| 56 | C2×#4055 | C22 | 1 | 1 | yes | characteristic |
| 57 | C2×#4053 | C22 | 1 | 1 | yes | characteristic |
| 58 | C22×Dic20 | C22 | 1 | 1 | yes | characteristic |
| 59 | #66058 | — | 2 | 1 | no | — |
| 60 | D5×C4⋊Q8 | — | 2 | 1 | no | — |
| 61 | #66009 | — | 2 | 1 | no | — |
| 62 | #66002 | — | 2 | 1 | no | — |
| 63 | #65989 | — | 2 | 4 | no | — |
| 64 | #65966 | C22 | 1 | 4 | yes | — |
| 65 | #65965 | C22 | 1 | 4 | yes | — |
| 66 | #65860 | C22 | 1 | 1 | yes | characteristic |
| 67 | #65856 | C22 | 1 | 1 | yes | characteristic |
| 68 | C5×#452 | C22 | 1 | 4 | yes | — |
| 69 | C5×#451 | C22 | 1 | 4 | yes | — |
| 70 | C5×#419 | C22 | 1 | 1 | yes | characteristic |
| 71 | C5×#416 | C22 | 1 | 1 | yes | characteristic |
| 72 | C5×#408 | C22 | 1 | 1 | yes | characteristic |
| 73 | #65514 | C22 | 1 | 1 | yes | characteristic |
| 74 | #65476 | C22 | 1 | 4 | yes | — |
| 75 | #65475 | C22 | 1 | 4 | yes | — |
| 76 | #65471 | C22 | 1 | 4 | yes | — |
| 77 | #65470 | C22 | 1 | 4 | yes | — |
| 78 | #65470 | C22 | 1 | 4 | yes | — |
| 79 | #65451 | C22 | 1 | 4 | yes | — |
| 80 | #65409 | C22 | 1 | 1 | yes | characteristic |
| 81 | #65407 | C22 | 1 | 1 | yes | characteristic |
| 82 | #65402 | C22 | 1 | 1 | yes | characteristic |
| 83 | #65399 | C22 | 1 | 1 | yes | characteristic |
| 84 | C2×C8×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 85 | #65341 | C22 | 1 | 4 | yes | — |
| 86 | #65340 | C22 | 1 | 4 | yes | — |
| 87 | #65293 | C22 | 1 | 1 | yes | characteristic |
| 88 | #65287 | C22 | 1 | 1 | yes | characteristic |
| 89 | #65107 | C22 | 1 | 4 | yes | — |
| 90 | #65105 | C22 | 1 | 4 | yes | — |
| 91 | #65102 | C22 | 1 | 4 | yes | — |
| 92 | #65097 | C22 | 1 | 4 | yes | — |
| 93 | #65082 | C22 | 1 | 4 | yes | — |
| 94 | #65079 | C22 | 1 | 2 | yes | — |
| 95 | #65077 | C22 | 1 | 2 | yes | — |
| 96 | #65072 | C22 | 1 | 4 | yes | — |
| 97 | #65047 | C22 | 1 | 2 | yes | — |
| 98 | #65045 | C22 | 1 | 2 | yes | — |
| 99 | #65028 | C22 | 1 | 4 | yes | — |
| 100 | #65022 | C22 | 1 | 4 | yes | — |
| 101 | #65018 | C22 | 1 | 4 | yes | — |
| 102 | #65014 | C22 | 1 | 4 | yes | — |
| 103 | #61091 | — | 5 | 1 | no | maximal, Sylow |
| 104 | C5×2−1+4 | — | 2 | 4 | no | — |
| 105 | C5×2−1+4 | — | 4 | 2 | no | — |
| 106 | C2×C5×#41 | — | 2 | 2 | no | — |
| 107 | C2×C5×#41 | — | 2 | 1 | no | — |
| 108 | C2×C5×#41 | C23 | 1 | 2 | yes | — |
| 109 | C2×C5×#41 | C23 | 1 | 1 | yes | characteristic |
| 110 | C2×C5×#41 | C23 | 1 | 1 | yes | characteristic |
| 111 | C22×C5×Q8 | — | 2 | 1 | no | — |
| 112 | C22×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 113 | C22×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 114 | C22×C5×Q8 | C23 | 1 | 2 | yes | — |
| 115 | #4150 | — | 2 | 4 | no | — |
| 116 | #4150 | — | 2 | 4 | no | — |
| 117 | #4150 | — | 4 | 2 | no | — |
| 118 | #4150 | — | 4 | 2 | no | — |
| 119 | #4147 | — | 2 | 4 | no | — |
| 120 | #4147 | — | 4 | 2 | no | — |
| 121 | C2×#713 | — | 2 | 1 | no | — |
| 122 | C2×#713 | C23 | 1 | 2 | yes | — |
| 123 | C2×Q8×D5 | — | 2 | 1 | no | — |
| 124 | C2×Q8×D5 | — | 2 | 1 | no | — |
| 125 | C2×Q8×D5 | C23 | 1 | 2 | yes | — |
| 126 | C2×Q8×D5 | C23 | 1 | 2 | yes | — |
| 127 | C2×#711 | — | 2 | 2 | no | — |
| 128 | C2×#711 | — | 2 | 1 | no | — |
| 129 | C2×#711 | — | 2 | 2 | no | — |
| 130 | C2×#711 | C23 | 1 | 2 | yes | — |
| 131 | C2×#709 | — | 2 | 2 | no | — |
| 132 | C2×#709 | — | 2 | 1 | no | — |
| 133 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 134 | C2×#709 | C23 | 1 | 2 | yes | — |
| 135 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 136 | C22×Dic10 | — | 2 | 1 | no | — |
| 137 | C22×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 138 | C22×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 139 | C22×Dic10 | C23 | 1 | 2 | yes | — |
| 140 | C5×#137 | — | 2 | 4 | no | — |
| 141 | C2×C5×Q16 | — | 4 | 2 | no | — |
| 142 | C2×C5×Q16 | C23 | 1 | 2 | yes | — |
| 143 | C2×C5×Q16 | C23 | 1 | 4 | yes | — |
| 144 | C2×C5×SD16 | C23 | 1 | 2 | yes | — |
| 145 | C2×C5×M16 | C23 | 1 | 1 | yes | characteristic |
| 146 | C22×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 147 | C5×C4⋊Q8 | — | 2 | 1 | no | — |
| 148 | C5×#124 | — | 2 | 1 | no | — |
| 149 | C5×#123 | — | 2 | 2 | no | — |
| 150 | C5×C22⋊Q8 | C23 | 1 | 4 | yes | — |
| 151 | C5×#117 | C23 | 1 | 1 | yes | characteristic |
| 152 | #4097 | — | 2 | 4 | no | — |
| 153 | #4097 | — | 2 | 8 | no | — |
| 154 | #4096 | — | 2 | 8 | no | — |
| 155 | #4096 | D4 | 1 | 8 | yes | complemented |
| 156 | #4094 | — | 2 | 4 | no | — |
| 157 | #4093 | — | 2 | 1 | no | — |
| 158 | #4093 | D4 | 1 | 1 | yes | characteristic |
| 159 | #4092 | — | 2 | 4 | no | — |
| 160 | #4092 | C23 | 1 | 4 | yes | — |
| 161 | Q8×Dic5 | C23 | 1 | 2 | yes | — |
| 162 | #4090 | — | 2 | 1 | no | — |
| 163 | #4090 | — | 2 | 1 | no | — |
| 164 | #4090 | — | 2 | 4 | no | — |
| 165 | #4090 | — | 2 | 1 | no | — |
| 166 | #4090 | — | 2 | 1 | no | — |
| 167 | #4090 | — | 2 | 1 | no | — |
| 168 | #4090 | — | 2 | 1 | no | — |
| 169 | #4090 | D4 | 1 | 1 | yes | characteristic |
| 170 | #4090 | C23 | 1 | 4 | yes | — |
| 171 | #4090 | C23 | 1 | 4 | yes | — |
| 172 | C2×#689 | — | 2 | 8 | no | — |
| 173 | C2×#689 | — | 2 | 4 | no | — |
| 174 | C2×#689 | — | 2 | 4 | no | — |
| 175 | C2×#689 | C23 | 1 | 2 | yes | — |
| 176 | C2×#689 | C23 | 1 | 2 | yes | — |
| 177 | C2×#689 | C23 | 1 | 2 | yes | — |
| 178 | C2×#689 | C23 | 1 | 2 | yes | — |
| 179 | C2×#689 | C23 | 1 | 2 | yes | — |
| 180 | C2×#689 | C23 | 1 | 2 | yes | — |
| 181 | C2×#689 | C23 | 1 | 1 | yes | characteristic |
| 182 | #4088 | — | 2 | 4 | no | — |
| 183 | #4088 | — | 2 | 8 | no | — |
| 184 | C2×#688 | C23 | 1 | 2 | yes | — |
| 185 | C2×#688 | C23 | 1 | 1 | yes | characteristic |
| 186 | #4086 | D4 | 1 | 1 | yes | characteristic |
| 187 | #4085 | — | 2 | 4 | no | — |
| 188 | #4085 | D4 | 1 | 4 | yes | — |
| 189 | #4082 | — | 2 | 1 | no | — |
| 190 | #4082 | D4 | 1 | 1 | yes | characteristic |
| 191 | #4081 | — | 2 | 2 | no | — |
| 192 | #4081 | — | 2 | 4 | no | — |
| 193 | D4×Dic5 | — | 2 | 2 | no | — |
| 194 | D4×Dic5 | C23 | 1 | 2 | yes | — |
| 195 | C2×#687 | C23 | 1 | 2 | yes | — |
| 196 | C2×#687 | C23 | 1 | 1 | yes | characteristic |
| 197 | C2×#686 | C23 | 1 | 1 | yes | characteristic |
| 198 | #4075 | — | 2 | 2 | no | — |
| 199 | #4075 | — | 2 | 4 | no | — |
| 200 | C4×C22⋊D5 | — | 2 | 4 | no | — |
| 201 | C4×C22⋊D5 | C23 | 1 | 4 | yes | — |
| 202 | #4072 | — | 2 | 1 | no | — |
| 203 | #4072 | C23 | 1 | 1 | yes | characteristic |
| 204 | #4070 | — | 2 | 4 | no | — |
| 205 | #4070 | C23 | 1 | 4 | yes | — |
| 206 | C2×#683 | — | 2 | 2 | no | — |
| 207 | C2×#683 | — | 2 | 2 | no | — |
| 208 | C2×#683 | — | 2 | 4 | no | — |
| 209 | C2×C4×Dic5 | — | 2 | 1 | no | — |
| 210 | C2×C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 211 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 212 | C2×#681 | C23 | 1 | 2 | yes | — |
| 213 | C22×#168 | C23 | 1 | 2 | yes | — |
| 214 | C22×#168 | C23 | 1 | 1 | yes | characteristic |
| 215 | #4064 | — | 2 | 8 | no | — |
| 216 | D5×Q16 | — | 2 | 8 | no | — |
| 217 | #4062 | — | 2 | 8 | no | — |
| 218 | #4061 | — | 2 | 8 | no | — |
| 219 | #4055 | — | 2 | 4 | no | — |
| 220 | #4053 | — | 2 | 4 | no | — |
| 221 | C2×Dic20 | — | 4 | 2 | no | — |
| 222 | C2×Dic20 | C23 | 1 | 2 | yes | — |
| 223 | C2×Dic20 | C23 | 1 | 4 | yes | — |
| 224 | C2×#677 | C23 | 1 | 2 | yes | — |
| 225 | C2×#676 | C23 | 1 | 2 | yes | — |
| 226 | C2×C8×D5 | C23 | 1 | 2 | yes | — |
| 227 | #4043 | C23 | 1 | 4 | yes | — |
| 228 | #4042 | — | 2 | 4 | no | — |
| 229 | #4040 | — | 2 | 4 | no | — |
| 230 | #4039 | C23 | 1 | 2 | yes | — |
| 231 | D5×C4⋊C4 | — | 2 | 4 | no | — |
| 232 | #4034 | — | 2 | 4 | no | — |
| 233 | #4033 | C23 | 1 | 2 | yes | — |
| 234 | #4032 | — | 2 | 2 | no | — |
| 235 | #4030 | — | 2 | 4 | no | — |
| 236 | #4029 | — | 2 | 4 | no | — |
| 237 | #4027 | — | 2 | 4 | no | — |
| 238 | #4027 | — | 2 | 2 | no | — |
| 239 | #4024 | — | 2 | 4 | no | — |
| 240 | #4021 | — | 2 | 1 | no | — |
| 241 | #4018 | — | 2 | 1 | no | — |
| 242 | C42×D5 | — | 2 | 1 | no | — |
| 243 | #4015 | — | 2 | 1 | no | — |
| 244 | C5×#103 | C23 | 1 | 2 | yes | — |
| 245 | C5×#103 | C23 | 1 | 4 | yes | — |
| 246 | C5×#102 | C23 | 1 | 2 | yes | — |
| 247 | C5×C22⋊C8 | C23 | 1 | 4 | yes | — |
| 248 | #3967 | C23 | 1 | 4 | yes | — |
| 249 | #3953 | C23 | 1 | 2 | yes | — |
| 250 | #3952 | C23 | 1 | 4 | yes | — |
| 251 | #3948 | C23 | 1 | 2 | yes | — |
| 252 | #3948 | C23 | 1 | 4 | yes | — |
| 253 | #3946 | C23 | 1 | 4 | yes | — |
| 254 | C8×Dic5 | C23 | 1 | 2 | yes | — |
| 255 | C8×Dic5 | C23 | 1 | 2 | yes | — |
| 256 | #3942 | C23 | 1 | 4 | yes | — |
| 257 | #3940 | C23 | 1 | 2 | yes | — |
| 258 | #3939 | C23 | 1 | 2 | yes | — |
| 259 | C2×#578 | — | 5 | 1 | no | — |
| 260 | C2×#578 | — | 5 | 1 | no | — |
| 261 | #3499 | — | 5 | 1 | no | — |
| 262 | #3499 | — | 5 | 1 | no | — |
| 263 | D4×Q16 | — | 5 | 4 | no | — |
| 264 | #3283 | — | 5 | 4 | no | — |
| 265 | #3276 | — | 5 | 4 | no | — |
| 266 | #3276 | — | 5 | 4 | no | — |
| 267 | C2×#494 | — | 5 | 1 | no | — |
| 268 | #3059 | — | 5 | 1 | no | — |
| 269 | #3059 | — | 5 | 1 | no | — |
| 270 | #3039 | — | 5 | 1 | no | — |
| 271 | #3039 | — | 5 | 1 | no | — |
| 272 | #3011 | — | 5 | 1 | no | — |
| 273 | #3011 | — | 5 | 1 | no | — |
| 274 | #3011 | — | 5 | 1 | no | — |
| 275 | #3011 | D5 | 1 | 1 | yes | characteristic, complemented |
| 276 | C4×#135 | — | 5 | 1 | no | — |
| 277 | #2931 | — | 5 | 1 | no | — |
| 278 | C5×#41 | — | 2 | 2 | no | — |
| 279 | C5×#41 | — | 2 | 2 | no | — |
| 280 | C5×#41 | — | 2 | 2 | no | — |
| 281 | C5×#41 | — | 2 | 4 | no | — |
| 282 | C5×#41 | — | 4 | 2 | no | — |
| 283 | C5×#41 | — | 4 | 4 | no | — |
| 284 | C5×#41 | — | 4 | 8 | no | — |
| 285 | C5×#41 | C2×D4 | 1 | 4 | yes | — |
| 286 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 287 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 288 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 289 | C2×C5×Q8 | — | 2 | 4 | no | — |
| 290 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 291 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 292 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 293 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 294 | C2×C5×Q8 | — | 4 | 2 | no | — |
| 295 | C2×C5×Q8 | — | 4 | 4 | no | — |
| 296 | C2×C5×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 297 | C2×C5×Q8 | C24 | 1 | 2 | yes | — |
| 298 | C2×C5×Q8 | C24 | 1 | 2 | yes | — |
| 299 | C2×C5×Q8 | C24 | 1 | 1 | yes | characteristic |
| 300 | C2×C5×D4 | — | 2 | 1 | no | — |
| 301 | C2×C5×D4 | — | 2 | 2 | no | — |
| 302 | C2×C5×D4 | C2×D4 | 1 | 2 | yes | — |
| 303 | C2×C5×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 304 | C2×C5×D4 | C24 | 1 | 1 | yes | characteristic |
| 305 | C22×C4×C5 | — | 2 | 1 | no | — |
| 306 | C22×C4×C5 | — | 2 | 1 | no | — |
| 307 | C22×C4×C5 | — | 2 | 1 | no | — |
| 308 | C22×C4×C5 | — | 2 | 2 | no | — |
| 309 | C22×C4×C5 | — | 2 | 2 | no | — |
| 310 | C22×C4×C5 | C24 | 1 | 2 | yes | — |
| 311 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 312 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 313 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 314 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 315 | C2×C22⋊D5 | C2×D4 | 1 | 2 | yes | — |
| 316 | C2×C22⋊D5 | C2×D4 | 1 | 4 | yes | — |
| 317 | C22×Dic5 | — | 2 | 2 | no | — |
| 318 | C22×Dic5 | — | 2 | 1 | no | — |
| 319 | C22×Dic5 | — | 2 | 1 | no | — |
| 320 | C22×Dic5 | — | 2 | 2 | no | — |
| 321 | C22×Dic5 | — | 2 | 2 | no | — |
| 322 | C22×Dic5 | C2×D4 | 1 | 2 | yes | — |
| 323 | #713 | — | 2 | 4 | no | — |
| 324 | #713 | — | 4 | 2 | no | — |
| 325 | #713 | — | 4 | 4 | no | — |
| 326 | Q8×D5 | — | 2 | 4 | no | — |
| 327 | Q8×D5 | — | 2 | 4 | no | — |
| 328 | Q8×D5 | — | 4 | 2 | no | — |
| 329 | Q8×D5 | — | 4 | 2 | no | — |
| 330 | Q8×D5 | — | 4 | 4 | no | — |
| 331 | Q8×D5 | — | 4 | 4 | no | — |
| 332 | #711 | — | 2 | 4 | no | — |
| 333 | #711 | — | 4 | 2 | no | — |
| 334 | #711 | — | 4 | 4 | no | — |
| 335 | #711 | — | 4 | 8 | no | — |
| 336 | #711 | — | 4 | 8 | no | — |
| 337 | #709 | — | 2 | 2 | no | — |
| 338 | #709 | — | 2 | 2 | no | — |
| 339 | #709 | — | 2 | 2 | no | — |
| 340 | #709 | — | 2 | 4 | no | — |
| 341 | #709 | — | 4 | 2 | no | — |
| 342 | #709 | — | 4 | 4 | no | — |
| 343 | #709 | — | 4 | 8 | no | — |
| 344 | #709 | C2×D4 | 1 | 4 | yes | — |
| 345 | C2×D20 | — | 2 | 2 | no | — |
| 346 | C2×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 347 | C2×D20 | C24 | 1 | 1 | yes | characteristic |
| 348 | C2×C4×D5 | — | 2 | 1 | no | — |
| 349 | C2×C4×D5 | — | 2 | 2 | no | — |
| 350 | C2×C4×D5 | — | 2 | 2 | no | — |
| 351 | C2×C4×D5 | — | 2 | 2 | no | — |
| 352 | C2×C4×D5 | — | 2 | 2 | no | — |
| 353 | C2×C4×D5 | — | 2 | 2 | no | — |
| 354 | C2×C4×D5 | C24 | 1 | 2 | yes | — |
| 355 | C2×Dic10 | — | 2 | 2 | no | — |
| 356 | C2×Dic10 | — | 2 | 2 | no | — |
| 357 | C2×Dic10 | — | 2 | 2 | no | — |
| 358 | C2×Dic10 | — | 2 | 2 | no | — |
| 359 | C2×Dic10 | — | 2 | 4 | no | — |
| 360 | C2×Dic10 | — | 2 | 1 | no | — |
| 361 | C2×Dic10 | — | 2 | 1 | no | — |
| 362 | C2×Dic10 | — | 2 | 2 | no | — |
| 363 | C2×Dic10 | — | 2 | 2 | no | — |
| 364 | C2×Dic10 | — | 2 | 2 | no | — |
| 365 | C2×Dic10 | — | 4 | 2 | no | — |
| 366 | C2×Dic10 | — | 4 | 4 | no | — |
| 367 | C2×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 368 | C2×Dic10 | C24 | 1 | 2 | yes | — |
| 369 | C2×Dic10 | C24 | 1 | 2 | yes | — |
| 370 | C2×Dic10 | C24 | 1 | 1 | yes | characteristic |
| 371 | C5×Q16 | — | 2 | 4 | no | — |
| 372 | C5×Q16 | — | 4 | 4 | no | — |
| 373 | C5×SD16 | — | 2 | 4 | no | — |
| 374 | C5×M16 | — | 2 | 2 | no | — |
| 375 | C2×C5×C8 | — | 2 | 2 | no | — |
| 376 | C2×C5×C8 | C24 | 1 | 2 | yes | — |
| 377 | C2×C5×C8 | C24 | 1 | 2 | yes | — |
| 378 | C5×C4⋊C4 | — | 2 | 4 | no | — |
| 379 | C5×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 380 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 381 | C5×C22⋊C4 | — | 2 | 4 | no | — |
| 382 | C42×C5 | — | 2 | 1 | no | — |
| 383 | C22⋊Dic5 | — | 2 | 4 | no | — |
| 384 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 385 | C22⋊Dic5 | — | 2 | 2 | no | — |
| 386 | C22⋊Dic5 | C2×D4 | 1 | 4 | yes | — |
| 387 | #689 | — | 2 | 4 | no | — |
| 388 | #689 | — | 2 | 4 | no | — |
| 389 | #689 | — | 2 | 4 | no | — |
| 390 | #689 | — | 2 | 4 | no | — |
| 391 | #689 | — | 2 | 4 | no | — |
| 392 | #689 | — | 2 | 4 | no | — |
| 393 | #689 | C2×D4 | 1 | 4 | yes | — |
| 394 | #688 | — | 2 | 4 | no | — |
| 395 | #688 | C2×D4 | 1 | 4 | yes | — |
| 396 | #687 | — | 2 | 4 | no | — |
| 397 | #687 | C2×D4 | 1 | 4 | yes | — |
| 398 | #686 | C2×D4 | 1 | 4 | yes | — |
| 399 | #685 | — | 2 | 4 | no | — |
| 400 | #685 | — | 2 | 4 | no | — |
| 401 | #685 | — | 2 | 2 | no | — |
| 402 | #685 | C2×D4 | 1 | 4 | yes | — |
| 403 | C4⋊Dic5 | — | 2 | 4 | no | — |
| 404 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 405 | C4⋊Dic5 | C24 | 1 | 2 | yes | — |
| 406 | #683 | — | 2 | 4 | no | — |
| 407 | #683 | — | 2 | 2 | no | — |
| 408 | #683 | — | 2 | 4 | no | — |
| 409 | #683 | — | 2 | 4 | no | — |
| 410 | #683 | — | 2 | 4 | no | — |
| 411 | #683 | — | 2 | 4 | no | — |
| 412 | #683 | — | 2 | 4 | no | — |
| 413 | #683 | C2×D4 | 1 | 4 | yes | — |
| 414 | C4×Dic5 | — | 2 | 1 | no | — |
| 415 | C4×Dic5 | — | 2 | 2 | no | — |
| 416 | C4×Dic5 | — | 2 | 2 | no | — |
| 417 | C4×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 418 | C4×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 419 | C4×Dic5 | C24 | 1 | 2 | yes | — |
| 420 | #681 | — | 2 | 2 | no | — |
| 421 | #681 | — | 2 | 4 | no | — |
| 422 | C2×#168 | — | 2 | 4 | no | — |
| 423 | C2×#168 | C2×D4 | 1 | 4 | yes | — |
| 424 | C2×#168 | C24 | 1 | 2 | yes | — |
| 425 | C2×#168 | C24 | 1 | 1 | yes | characteristic |
| 426 | C2×#168 | C24 | 1 | 1 | yes | characteristic |
| 427 | Dic20 | — | 2 | 4 | no | — |
| 428 | Dic20 | — | 4 | 4 | no | — |
| 429 | #677 | — | 2 | 4 | no | — |
| 430 | #676 | — | 2 | 4 | no | — |
| 431 | C8×D5 | — | 2 | 4 | no | — |
| 432 | C2×2−1+4 | — | 5 | 1 | no | — |
| 433 | C2×2−1+4 | — | 5 | 1 | no | — |
| 434 | C2×2−1+4 | — | 5 | 1 | no | — |
| 435 | C2×2−1+4 | C2×D5 | 1 | 1 | yes | characteristic |
| 436 | #578 | — | 10 | 8 | no | — |
| 437 | #578 | — | 10 | 8 | no | — |
| 438 | C2×#137 | — | 5 | 1 | no | — |
| 439 | C2×#137 | — | 5 | 2 | no | — |
| 440 | C2×#137 | — | 5 | 1 | no | — |
| 441 | C2×#137 | — | 5 | 2 | no | — |
| 442 | C2×#137 | — | 5 | 2 | no | — |
| 443 | C2×#137 | — | 5 | 2 | no | — |
| 444 | C2×#137 | — | 5 | 1 | no | — |
| 445 | C2×#137 | C2×D5 | 1 | 1 | yes | characteristic |
| 446 | C2×#135 | — | 5 | 1 | no | — |
| 447 | C2×#135 | — | 5 | 2 | no | — |
| 448 | C2×#135 | — | 5 | 2 | no | — |
| 449 | C22×Q16 | — | 5 | 1 | no | — |
| 450 | C22×Q16 | — | 5 | 1 | no | — |
| 451 | C22×Q16 | — | 5 | 2 | no | — |
| 452 | C22×Q16 | — | 5 | 2 | no | — |
| 453 | C22×Q16 | — | 5 | 1 | no | — |
| 454 | C22×Q16 | C2×D5 | 1 | 1 | yes | characteristic |
| 455 | C2×#131 | — | 5 | 1 | no | — |
| 456 | C2×#131 | — | 5 | 1 | no | — |
| 457 | D4×Q8 | — | 5 | 4 | no | — |
| 458 | D4×Q8 | — | 5 | 4 | no | — |
| 459 | #547 | — | 5 | 4 | no | — |
| 460 | #547 | — | 5 | 4 | no | — |
| 461 | #547 | — | 10 | 4 | no | — |
| 462 | #547 | — | 10 | 4 | no | — |
| 463 | #536 | — | 5 | 1 | no | — |
| 464 | #536 | — | 5 | 1 | no | — |
| 465 | #536 | — | 5 | 1 | no | — |
| 466 | #536 | — | 10 | 1 | no | — |
| 467 | #536 | — | 10 | 1 | no | — |
| 468 | #536 | — | 10 | 1 | no | — |
| 469 | #536 | — | 10 | 1 | no | — |
| 470 | #536 | C2×D5 | 1 | 1 | yes | characteristic |
| 471 | #532 | — | 5 | 1 | no | — |
| 472 | #532 | — | 10 | 1 | no | — |
| 473 | #532 | — | 10 | 1 | no | — |
| 474 | C2×C4⋊Q8 | — | 5 | 1 | no | — |
| 475 | C2×C4⋊Q8 | — | 5 | 1 | no | — |
| 476 | C2×C4⋊Q8 | — | 10 | 1 | no | — |
| 477 | C2×C4⋊Q8 | — | 10 | 1 | no | — |
| 478 | C4×#41 | — | 5 | 1 | no | — |
| 479 | C4×#41 | — | 5 | 1 | no | — |
| 480 | #494 | — | 5 | 4 | no | — |
| 481 | #494 | — | 5 | 4 | no | — |
| 482 | #470 | — | 5 | 4 | no | — |
| 483 | #470 | — | 5 | 4 | no | — |
| 484 | #467 | — | 5 | 4 | no | — |
| 485 | #467 | — | 5 | 4 | no | — |
| 486 | #462 | — | 5 | 4 | no | — |
| 487 | #462 | — | 5 | 4 | no | — |
| 488 | #461 | — | 5 | 4 | no | — |
| 489 | #461 | — | 5 | 4 | no | — |
| 490 | #452 | — | 5 | 4 | no | — |
| 491 | #452 | — | 5 | 4 | no | — |
| 492 | #452 | — | 5 | 4 | no | — |
| 493 | #452 | C2×D5 | 1 | 4 | yes | — |
| 494 | #451 | — | 5 | 4 | no | — |
| 495 | #451 | — | 5 | 4 | no | — |
| 496 | #451 | — | 5 | 4 | no | — |
| 497 | #451 | C2×D5 | 1 | 4 | yes | — |
| 498 | C4×Q16 | — | 5 | 2 | no | — |
| 499 | C4×SD16 | — | 5 | 2 | no | — |
| 500 | C4×SD16 | — | 5 | 2 | no | — |
| 501 | C4×D8 | — | 5 | 2 | no | — |
| 502 | #436 | — | 5 | 4 | no | — |
| 503 | C8×D4 | — | 5 | 4 | no | — |
| 504 | #427 | — | 5 | 1 | no | — |
| 505 | #423 | — | 5 | 1 | no | — |
| 506 | #419 | — | 5 | 1 | no | — |
| 507 | #419 | — | 5 | 1 | no | — |
| 508 | #419 | — | 5 | 1 | no | — |
| 509 | #419 | C2×D5 | 1 | 1 | yes | characteristic |
| 510 | #416 | — | 5 | 1 | no | — |
| 511 | #416 | C2×D5 | 1 | 1 | yes | characteristic |
| 512 | #408 | — | 5 | 1 | no | — |
| 513 | #408 | C2×D5 | 1 | 1 | yes | characteristic |
| 514 | C2×C4×C8 | — | 5 | 1 | no | — |
| 515 | C23×C5 | — | 2 | 1 | no | — |
| 516 | C23×C5 | C22×D4 | 1 | 2 | yes | — |
| 517 | C23×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 518 | C22×D5 | — | 2 | 1 | no | — |
| 519 | C22×D5 | C22×D4 | 1 | 2 | yes | — |
| 520 | C5×Q8 | — | 2 | 2 | no | — |
| 521 | C5×Q8 | — | 2 | 1 | no | — |
| 522 | C5×Q8 | — | 2 | 2 | no | — |
| 523 | C5×Q8 | — | 2 | 2 | no | — |
| 524 | C5×Q8 | — | 2 | 2 | no | — |
| 525 | C5×Q8 | — | 2 | 2 | no | — |
| 526 | C5×Q8 | — | 4 | 4 | no | — |
| 527 | C5×Q8 | — | 4 | 2 | no | — |
| 528 | C5×Q8 | — | 4 | 2 | no | — |
| 529 | C5×Q8 | C22×D4 | 1 | 2 | yes | — |
| 530 | C5×D4 | — | 2 | 4 | no | — |
| 531 | C5×D4 | — | 2 | 4 | no | — |
| 532 | C5×D4 | — | 2 | 2 | no | — |
| 533 | C5×D4 | — | 2 | 1 | no | — |
| 534 | C5×D4 | — | 4 | 4 | no | — |
| 535 | C5×D4 | C22×D4 | 1 | 2 | yes | — |
| 536 | C2×C4×C5 | — | 2 | 1 | no | — |
| 537 | C2×C4×C5 | — | 2 | 4 | no | — |
| 538 | C2×C4×C5 | — | 2 | 2 | no | — |
| 539 | C2×C4×C5 | — | 2 | 2 | no | — |
| 540 | C2×C4×C5 | — | 2 | 2 | no | — |
| 541 | C2×C4×C5 | — | 2 | 2 | no | — |
| 542 | C2×C4×C5 | — | 2 | 2 | no | — |
| 543 | C2×C4×C5 | — | 4 | 4 | no | — |
| 544 | C2×C4×C5 | — | 4 | 4 | no | — |
| 545 | C2×C4×C5 | — | 4 | 2 | no | — |
| 546 | C2×C4×C5 | — | 4 | 2 | no | — |
| 547 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 548 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 549 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 550 | C2×C4×C5 | H(5,𝔽2) | 1 | 2 | yes | — |
| 551 | C2×C4×C5 | C25 | 1 | 1 | yes | characteristic |
| 552 | C22⋊D5 | — | 2 | 4 | no | — |
| 553 | C22⋊D5 | — | 2 | 4 | no | — |
| 554 | C22⋊D5 | — | 2 | 8 | no | — |
| 555 | C22⋊D5 | — | 4 | 4 | no | — |
| 556 | C22⋊D5 | — | 4 | 4 | no | — |
| 557 | C2×Dic5 | — | 2 | 1 | no | — |
| 558 | C2×Dic5 | — | 2 | 4 | no | — |
| 559 | C2×Dic5 | — | 2 | 2 | no | — |
| 560 | C2×Dic5 | — | 2 | 2 | no | — |
| 561 | C2×Dic5 | — | 2 | 2 | no | — |
| 562 | C2×Dic5 | — | 4 | 4 | no | — |
| 563 | C2×Dic5 | — | 4 | 4 | no | — |
| 564 | C2×Dic5 | — | 4 | 2 | no | — |
| 565 | C2×Dic5 | — | 4 | 2 | no | — |
| 566 | C2×Dic5 | — | 4 | 4 | no | — |
| 567 | C2×Dic5 | C22×D4 | 1 | 2 | yes | — |
| 568 | C2×Dic5 | C22×D4 | 1 | 2 | yes | — |
| 569 | C2×Dic5 | C22×D4 | 1 | 2 | yes | — |
| 570 | D20 | — | 2 | 2 | no | — |
| 571 | D20 | — | 2 | 1 | no | — |
| 572 | D20 | — | 4 | 4 | no | — |
| 573 | D20 | C22×D4 | 1 | 2 | yes | — |
| 574 | C4×D5 | — | 2 | 4 | no | — |
| 575 | C4×D5 | — | 2 | 2 | no | — |
| 576 | C4×D5 | — | 2 | 2 | no | — |
| 577 | C4×D5 | — | 4 | 4 | no | — |
| 578 | C4×D5 | — | 4 | 4 | no | — |
| 579 | C4×D5 | — | 4 | 4 | no | — |
| 580 | C4×D5 | — | 4 | 4 | no | — |
| 581 | C4×D5 | — | 4 | 4 | no | — |
| 582 | Dic10 | — | 2 | 2 | no | — |
| 583 | Dic10 | — | 2 | 1 | no | — |
| 584 | Dic10 | — | 2 | 2 | no | — |
| 585 | Dic10 | — | 2 | 2 | no | — |
| 586 | Dic10 | — | 2 | 2 | no | — |
| 587 | Dic10 | — | 2 | 2 | no | — |
| 588 | Dic10 | — | 4 | 4 | no | — |
| 589 | Dic10 | — | 4 | 4 | no | — |
| 590 | Dic10 | — | 4 | 4 | no | — |
| 591 | Dic10 | — | 4 | 2 | no | — |
| 592 | Dic10 | — | 4 | 2 | no | — |
| 593 | Dic10 | C22×D4 | 1 | 2 | yes | — |
| 594 | C5×C8 | — | 2 | 2 | no | — |
| 595 | C5×C8 | — | 2 | 2 | no | — |
| 596 | #168 | — | 2 | 2 | no | — |
| 597 | #168 | C22×D4 | 1 | 2 | yes | — |
| 598 | #168 | C22×D4 | 1 | 2 | yes | — |
| 599 | 2−1+4 | — | 2 | 4 | no | — |
| 600 | 2−1+4 | — | 4 | 2 | no | — |
| 601 | 2−1+4 | — | 10 | 4 | no | — |
| 602 | 2−1+4 | — | 10 | 4 | no | — |
| 603 | 2−1+4 | — | 10 | 4 | no | — |
| 604 | 2−1+4 | — | 20 | 2 | no | — |
| 605 | 2−1+4 | — | 20 | 2 | no | — |
| 606 | 2−1+4 | — | 20 | 2 | no | — |
| 607 | C2×#41 | — | 2 | 1 | no | — |
| 608 | C2×#41 | — | 2 | 2 | no | — |
| 609 | C2×#41 | — | 5 | 1 | no | — |
| 610 | C2×#41 | — | 5 | 2 | no | — |
| 611 | C2×#41 | — | 5 | 2 | no | — |
| 612 | C2×#41 | — | 5 | 1 | no | — |
| 613 | C2×#41 | — | 5 | 2 | no | — |
| 614 | C2×#41 | — | 10 | 1 | no | — |
| 615 | C2×#41 | — | 10 | 2 | no | — |
| 616 | C2×#41 | — | 10 | 2 | no | — |
| 617 | C2×#41 | — | 10 | 1 | no | — |
| 618 | C2×#41 | — | 10 | 1 | no | — |
| 619 | C2×#41 | — | 10 | 2 | no | — |
| 620 | C2×#41 | C22×D5 | 1 | 2 | yes | — |
| 621 | C2×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 622 | C2×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 623 | C22×Q8 | — | 2 | 1 | no | — |
| 624 | C22×Q8 | — | 5 | 2 | no | — |
| 625 | C22×Q8 | — | 5 | 2 | no | — |
| 626 | C22×Q8 | — | 5 | 1 | no | — |
| 627 | C22×Q8 | — | 5 | 1 | no | — |
| 628 | C22×Q8 | — | 5 | 2 | no | — |
| 629 | C22×Q8 | — | 10 | 1 | no | — |
| 630 | C22×Q8 | — | 10 | 1 | no | — |
| 631 | C22×Q8 | — | 10 | 1 | no | — |
| 632 | C22×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 633 | C22×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 634 | C22×Q8 | C22×D5 | 1 | 2 | yes | — |
| 635 | #137 | — | 2 | 4 | no | — |
| 636 | #137 | — | 10 | 4 | no | — |
| 637 | #137 | — | 10 | 8 | no | — |
| 638 | #137 | — | 10 | 8 | no | — |
| 639 | #137 | — | 10 | 8 | no | — |
| 640 | #137 | — | 10 | 8 | no | — |
| 641 | #137 | — | 10 | 4 | no | — |
| 642 | #137 | — | 10 | 4 | no | — |
| 643 | #135 | — | 5 | 8 | no | — |
| 644 | #135 | — | 10 | 8 | no | — |
| 645 | #135 | — | 10 | 8 | no | — |
| 646 | C2×Q16 | — | 4 | 2 | no | — |
| 647 | C2×Q16 | — | 5 | 1 | no | — |
| 648 | C2×Q16 | — | 5 | 2 | no | — |
| 649 | C2×Q16 | — | 5 | 2 | no | — |
| 650 | C2×Q16 | — | 5 | 2 | no | — |
| 651 | C2×Q16 | — | 5 | 2 | no | — |
| 652 | C2×Q16 | — | 5 | 2 | no | — |
| 653 | C2×Q16 | — | 5 | 2 | no | — |
| 654 | C2×Q16 | — | 5 | 2 | no | — |
| 655 | C2×Q16 | — | 5 | 4 | no | — |
| 656 | C2×Q16 | — | 10 | 4 | no | — |
| 657 | C2×Q16 | — | 10 | 4 | no | — |
| 658 | C2×Q16 | — | 10 | 8 | no | — |
| 659 | C2×Q16 | — | 10 | 8 | no | — |
| 660 | C2×Q16 | — | 20 | 2 | no | — |
| 661 | C2×Q16 | C22×D5 | 1 | 2 | yes | — |
| 662 | C2×Q16 | C22×D5 | 1 | 4 | yes | — |
| 663 | C2×SD16 | — | 5 | 1 | no | — |
| 664 | C2×SD16 | — | 5 | 1 | no | — |
| 665 | C2×SD16 | — | 5 | 2 | no | — |
| 666 | C2×SD16 | — | 5 | 2 | no | — |
| 667 | C2×SD16 | — | 5 | 2 | no | — |
| 668 | C2×SD16 | C22×D5 | 1 | 2 | yes | — |
| 669 | C2×D8 | — | 5 | 1 | no | — |
| 670 | #131 | — | 10 | 4 | no | — |
| 671 | #131 | — | 10 | 4 | no | — |
| 672 | C2×M16 | — | 5 | 1 | no | — |
| 673 | C2×M16 | — | 5 | 2 | no | — |
| 674 | C2×M16 | — | 5 | 2 | no | — |
| 675 | C2×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 676 | C22×C8 | — | 5 | 1 | no | — |
| 677 | C22×C8 | — | 5 | 2 | no | — |
| 678 | C22×C8 | — | 5 | 2 | no | — |
| 679 | C22×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 680 | C4⋊Q8 | — | 2 | 1 | no | — |
| 681 | C4⋊Q8 | — | 5 | 1 | no | — |
| 682 | C4⋊Q8 | — | 5 | 4 | no | — |
| 683 | C4⋊Q8 | — | 5 | 4 | no | — |
| 684 | C4⋊Q8 | — | 10 | 1 | no | — |
| 685 | C4⋊Q8 | — | 10 | 1 | no | — |
| 686 | C4⋊Q8 | — | 10 | 1 | no | — |
| 687 | C4⋊Q8 | — | 10 | 1 | no | — |
| 688 | C4⋊Q8 | — | 10 | 1 | no | — |
| 689 | C4⋊Q8 | — | 10 | 4 | no | — |
| 690 | C4⋊Q8 | — | 10 | 4 | no | — |
| 691 | C4⋊Q8 | — | 10 | 1 | no | — |
| 692 | C4⋊Q8 | — | 10 | 1 | no | — |
| 693 | #127 | — | 5 | 1 | no | — |
| 694 | #124 | — | 2 | 1 | no | — |
| 695 | #124 | — | 5 | 1 | no | — |
| 696 | #124 | — | 5 | 1 | no | — |
| 697 | #124 | — | 10 | 1 | no | — |
| 698 | #124 | — | 10 | 1 | no | — |
| 699 | #124 | — | 10 | 1 | no | — |
| 700 | #123 | — | 2 | 2 | no | — |
| 701 | #123 | — | 10 | 4 | no | — |
| 702 | #123 | — | 10 | 2 | no | — |
| 703 | #123 | — | 10 | 4 | no | — |
| 704 | #123 | — | 10 | 4 | no | — |
| 705 | #123 | — | 10 | 4 | no | — |
| 706 | #123 | — | 10 | 2 | no | — |
| 707 | #123 | — | 10 | 2 | no | — |
| 708 | C22⋊Q8 | — | 5 | 4 | no | — |
| 709 | C22⋊Q8 | — | 5 | 4 | no | — |
| 710 | C22⋊Q8 | — | 5 | 4 | no | — |
| 711 | C22⋊Q8 | — | 10 | 4 | no | — |
| 712 | C22⋊Q8 | — | 10 | 4 | no | — |
| 713 | C22⋊Q8 | — | 10 | 4 | no | — |
| 714 | C22⋊Q8 | — | 10 | 4 | no | — |
| 715 | C22⋊Q8 | C22×D5 | 1 | 4 | yes | — |
| 716 | #121 | — | 5 | 4 | no | — |
| 717 | #121 | — | 10 | 4 | no | — |
| 718 | #121 | — | 10 | 4 | no | — |
| 719 | C4×Q8 | — | 5 | 2 | no | — |
| 720 | C4×Q8 | — | 5 | 2 | no | — |
| 721 | C4×D4 | — | 5 | 4 | no | — |
| 722 | C4×D4 | — | 5 | 2 | no | — |
| 723 | C4×D4 | — | 5 | 2 | no | — |
| 724 | C4×D4 | — | 10 | 2 | no | — |
| 725 | C4×D4 | — | 10 | 4 | no | — |
| 726 | C4×D4 | — | 10 | 4 | no | — |
| 727 | C4×D4 | — | 10 | 2 | no | — |
| 728 | #117 | — | 5 | 1 | no | — |
| 729 | #117 | — | 10 | 1 | no | — |
| 730 | #117 | — | 10 | 1 | no | — |
| 731 | #117 | C22×D5 | 1 | 1 | yes | characteristic |
| 732 | C2×C4⋊C4 | — | 10 | 4 | no | — |
| 733 | C2×C4⋊C4 | — | 10 | 4 | no | — |
| 734 | C2×C4⋊C4 | — | 10 | 2 | no | — |
| 735 | C2×C4⋊C4 | — | 10 | 2 | no | — |
| 736 | C2×C42 | — | 5 | 1 | no | — |
| 737 | C2×C42 | — | 10 | 1 | no | — |
| 738 | C2×C42 | — | 10 | 1 | no | — |
| 739 | #107 | — | 5 | 2 | no | — |
| 740 | #106 | — | 5 | 2 | no | — |
| 741 | C4⋊C8 | — | 5 | 4 | no | — |
| 742 | #103 | — | 5 | 4 | no | — |
| 743 | #103 | — | 5 | 2 | no | — |
| 744 | #103 | — | 5 | 4 | no | — |
| 745 | #103 | — | 5 | 4 | no | — |
| 746 | #103 | C22×D5 | 1 | 2 | yes | — |
| 747 | #103 | C22×D5 | 1 | 4 | yes | — |
| 748 | #102 | — | 5 | 2 | no | — |
| 749 | #102 | C22×D5 | 1 | 2 | yes | — |
| 750 | C22⋊C8 | — | 5 | 4 | no | — |
| 751 | C22⋊C8 | C22×D5 | 1 | 4 | yes | — |
| 752 | C4×C8 | — | 5 | 2 | no | — |
| 753 | C4×C8 | — | 5 | 2 | no | — |
| 754 | C22×C5 | — | 2 | 2 | no | — |
| 755 | C22×C5 | — | 2 | 2 | no | — |
| 756 | C22×C5 | — | 2 | 2 | no | — |
| 757 | C22×C5 | — | 2 | 4 | no | — |
| 758 | C22×C5 | — | 4 | 2 | no | — |
| 759 | C22×C5 | D42 | 1 | 2 | yes | — |
| 760 | C22×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 761 | C2×D5 | — | 2 | 2 | no | — |
| 762 | C2×D5 | — | 2 | 2 | no | — |
| 763 | C2×D5 | — | 2 | 4 | no | — |
| 764 | C2×D5 | — | 4 | 2 | no | — |
| 765 | C4×C5 | — | 2 | 2 | no | — |
| 766 | C4×C5 | — | 2 | 2 | no | — |
| 767 | C4×C5 | — | 4 | 2 | no | — |
| 768 | C4×C5 | — | 4 | 2 | no | — |
| 769 | C4×C5 | — | 4 | 2 | no | — |
| 770 | C4×C5 | D42 | 1 | 2 | yes | — |
| 771 | C4×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 772 | C4×C5 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 773 | Dic5 | — | 2 | 2 | no | — |
| 774 | Dic5 | — | 2 | 2 | no | — |
| 775 | Dic5 | — | 2 | 2 | no | — |
| 776 | Dic5 | — | 4 | 2 | no | — |
| 777 | Dic5 | — | 4 | 2 | no | — |
| 778 | Dic5 | — | 4 | 2 | no | — |
| 779 | Dic5 | #578 | 1 | 4 | yes | complemented |
| 780 | #41 | — | 2 | 2 | no | — |
| 781 | #41 | — | 2 | 2 | no | — |
| 782 | #41 | — | 2 | 2 | no | — |
| 783 | #41 | — | 2 | 4 | no | — |
| 784 | #41 | — | 4 | 2 | no | — |
| 785 | #41 | — | 4 | 4 | no | — |
| 786 | #41 | — | 4 | 8 | no | — |
| 787 | #41 | — | 5 | 4 | no | — |
| 788 | #41 | — | 10 | 4 | no | — |
| 789 | #41 | — | 10 | 2 | no | — |
| 790 | #41 | — | 10 | 2 | no | — |
| 791 | #41 | — | 10 | 2 | no | — |
| 792 | #41 | — | 10 | 4 | no | — |
| 793 | #41 | — | 10 | 4 | no | — |
| 794 | #41 | — | 20 | 2 | no | — |
| 795 | #41 | — | 20 | 4 | no | — |
| 796 | #41 | — | 20 | 8 | no | — |
| 797 | #41 | — | 20 | 2 | no | — |
| 798 | #41 | — | 20 | 4 | no | — |
| 799 | #41 | — | 20 | 2 | no | — |
| 800 | #41 | — | 20 | 4 | no | — |
| 801 | #41 | — | 20 | 8 | no | — |
| 802 | #41 | — | 20 | 8 | no | — |
| 803 | #41 | D4×D5 | 1 | 4 | yes | — |
| 804 | C2×Q8 | — | 2 | 2 | no | — |
| 805 | C2×Q8 | — | 2 | 1 | no | — |
| 806 | C2×Q8 | — | 2 | 1 | no | — |
| 807 | C2×Q8 | — | 2 | 4 | no | — |
| 808 | C2×Q8 | — | 2 | 2 | no | — |
| 809 | C2×Q8 | — | 2 | 2 | no | — |
| 810 | C2×Q8 | — | 2 | 2 | no | — |
| 811 | C2×Q8 | — | 2 | 2 | no | — |
| 812 | C2×Q8 | — | 4 | 2 | no | — |
| 813 | C2×Q8 | — | 4 | 4 | no | — |
| 814 | C2×Q8 | — | 5 | 1 | no | — |
| 815 | C2×Q8 | — | 5 | 1 | no | — |
| 816 | C2×Q8 | — | 5 | 2 | no | — |
| 817 | C2×Q8 | — | 5 | 2 | no | — |
| 818 | C2×Q8 | — | 10 | 2 | no | — |
| 819 | C2×Q8 | — | 10 | 2 | no | — |
| 820 | C2×Q8 | — | 10 | 4 | no | — |
| 821 | C2×Q8 | — | 10 | 2 | no | — |
| 822 | C2×Q8 | — | 10 | 1 | no | — |
| 823 | C2×Q8 | — | 10 | 1 | no | — |
| 824 | C2×Q8 | — | 10 | 4 | no | — |
| 825 | C2×Q8 | — | 10 | 4 | no | — |
| 826 | C2×Q8 | — | 10 | 2 | no | — |
| 827 | C2×Q8 | — | 10 | 2 | no | — |
| 828 | C2×Q8 | — | 10 | 2 | no | — |
| 829 | C2×Q8 | — | 10 | 2 | no | — |
| 830 | C2×Q8 | — | 20 | 2 | no | — |
| 831 | C2×Q8 | — | 20 | 4 | no | — |
| 832 | C2×Q8 | — | 20 | 2 | no | — |
| 833 | C2×Q8 | — | 20 | 2 | no | — |
| 834 | C2×Q8 | — | 20 | 4 | no | — |
| 835 | C2×Q8 | — | 20 | 4 | no | — |
| 836 | C2×Q8 | D4×D5 | 1 | 1 | yes | characteristic |
| 837 | C2×Q8 | C23×D5 | 1 | 2 | yes | — |
| 838 | C2×Q8 | C23×D5 | 1 | 2 | yes | — |
| 839 | C2×Q8 | C23×D5 | 1 | 1 | yes | characteristic |
| 840 | C2×D4 | — | 2 | 1 | no | — |
| 841 | C2×D4 | — | 2 | 2 | no | — |
| 842 | C2×D4 | — | 5 | 4 | no | — |
| 843 | C2×D4 | — | 5 | 2 | no | — |
| 844 | C2×D4 | — | 5 | 1 | no | — |
| 845 | C2×D4 | — | 5 | 1 | no | — |
| 846 | C2×D4 | — | 10 | 2 | no | — |
| 847 | C2×D4 | — | 10 | 1 | no | — |
| 848 | C2×D4 | — | 10 | 2 | no | — |
| 849 | C2×D4 | — | 10 | 2 | no | — |
| 850 | C2×D4 | D4×D5 | 1 | 2 | yes | — |
| 851 | C2×D4 | D4×D5 | 1 | 1 | yes | characteristic |
| 852 | C2×D4 | C23×D5 | 1 | 1 | yes | characteristic |
| 853 | C22×C4 | — | 2 | 1 | no | — |
| 854 | C22×C4 | — | 2 | 1 | no | — |
| 855 | C22×C4 | — | 2 | 1 | no | — |
| 856 | C22×C4 | — | 2 | 2 | no | — |
| 857 | C22×C4 | — | 2 | 2 | no | — |
| 858 | C22×C4 | — | 5 | 2 | no | — |
| 859 | C22×C4 | — | 5 | 2 | no | — |
| 860 | C22×C4 | — | 10 | 2 | no | — |
| 861 | C22×C4 | — | 10 | 2 | no | — |
| 862 | C22×C4 | — | 10 | 2 | no | — |
| 863 | C22×C4 | — | 10 | 2 | no | — |
| 864 | C22×C4 | — | 10 | 2 | no | — |
| 865 | C22×C4 | — | 10 | 2 | no | — |
| 866 | C22×C4 | — | 10 | 1 | no | — |
| 867 | C22×C4 | — | 10 | 1 | no | — |
| 868 | C22×C4 | — | 10 | 1 | no | — |
| 869 | C22×C4 | — | 10 | 2 | no | — |
| 870 | C22×C4 | — | 10 | 2 | no | — |
| 871 | C22×C4 | C23×D5 | 1 | 2 | yes | — |
| 872 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 873 | Q16 | — | 2 | 4 | no | — |
| 874 | Q16 | — | 4 | 4 | no | — |
| 875 | Q16 | — | 5 | 4 | no | — |
| 876 | Q16 | — | 10 | 4 | no | — |
| 877 | Q16 | — | 10 | 4 | no | — |
| 878 | Q16 | — | 10 | 4 | no | — |
| 879 | Q16 | — | 10 | 4 | no | — |
| 880 | Q16 | — | 10 | 4 | no | — |
| 881 | Q16 | — | 10 | 4 | no | — |
| 882 | Q16 | — | 10 | 4 | no | — |
| 883 | Q16 | — | 20 | 4 | no | — |
| 884 | SD16 | — | 2 | 4 | no | — |
| 885 | SD16 | — | 5 | 4 | no | — |
| 886 | SD16 | — | 5 | 4 | no | — |
| 887 | SD16 | — | 10 | 4 | no | — |
| 888 | SD16 | — | 10 | 4 | no | — |
| 889 | SD16 | — | 10 | 4 | no | — |
| 890 | D8 | — | 5 | 4 | no | — |
| 891 | M16 | — | 2 | 2 | no | — |
| 892 | M16 | — | 10 | 4 | no | — |
| 893 | M16 | — | 10 | 4 | no | — |
| 894 | M16 | — | 10 | 2 | no | — |
| 895 | C2×C8 | — | 2 | 2 | no | — |
| 896 | C2×C8 | — | 5 | 4 | no | — |
| 897 | C2×C8 | — | 5 | 1 | no | — |
| 898 | C2×C8 | — | 5 | 1 | no | — |
| 899 | C2×C8 | — | 5 | 2 | no | — |
| 900 | C2×C8 | — | 10 | 4 | no | — |
| 901 | C2×C8 | — | 10 | 4 | no | — |
| 902 | C2×C8 | C23×D5 | 1 | 2 | yes | — |
| 903 | C2×C8 | C23×D5 | 1 | 2 | yes | — |
| 904 | C4⋊C4 | — | 2 | 4 | no | — |
| 905 | C4⋊C4 | — | 5 | 4 | no | — |
| 906 | C4⋊C4 | — | 5 | 2 | no | — |
| 907 | C4⋊C4 | — | 10 | 4 | no | — |
| 908 | C4⋊C4 | — | 10 | 4 | no | — |
| 909 | C4⋊C4 | — | 10 | 4 | no | — |
| 910 | C4⋊C4 | — | 10 | 4 | no | — |
| 911 | C4⋊C4 | — | 10 | 4 | no | — |
| 912 | C4⋊C4 | — | 10 | 4 | no | — |
| 913 | C4⋊C4 | — | 10 | 2 | no | — |
| 914 | C4⋊C4 | — | 10 | 2 | no | — |
| 915 | C4⋊C4 | — | 10 | 4 | no | — |
| 916 | C4⋊C4 | C23×D5 | 1 | 2 | yes | — |
| 917 | C22⋊C4 | — | 2 | 1 | no | — |
| 918 | C22⋊C4 | — | 2 | 4 | no | — |
| 919 | C22⋊C4 | — | 5 | 4 | no | — |
| 920 | C22⋊C4 | — | 5 | 4 | no | — |
| 921 | C22⋊C4 | — | 10 | 2 | no | — |
| 922 | C22⋊C4 | — | 10 | 4 | no | — |
| 923 | C22⋊C4 | — | 10 | 4 | no | — |
| 924 | C22⋊C4 | — | 10 | 2 | no | — |
| 925 | C22⋊C4 | — | 10 | 1 | no | — |
| 926 | C22⋊C4 | — | 10 | 4 | no | — |
| 927 | C42 | — | 2 | 1 | no | — |
| 928 | C42 | — | 5 | 1 | no | — |
| 929 | C42 | — | 5 | 1 | no | — |
| 930 | C42 | — | 5 | 2 | no | — |
| 931 | C42 | — | 10 | 2 | no | — |
| 932 | C42 | — | 10 | 2 | no | — |
| 933 | C42 | — | 10 | 1 | no | — |
| 934 | C2×C5 | — | 2 | 2 | no | — |
| 935 | C2×C5 | — | 4 | 2 | no | — |
| 936 | C2×C5 | — | 4 | 2 | no | — |
| 937 | C2×C5 | C2×D42 | 1 | 1 | yes | characteristic |
| 938 | C2×C5 | C2×#578 | 1 | 2 | yes | — |
| 939 | D5 | — | 4 | 2 | no | — |
| 940 | D5 | — | 4 | 2 | no | — |
| 941 | C23 | — | 2 | 1 | no | — |
| 942 | C23 | — | 5 | 2 | no | — |
| 943 | C23 | — | 10 | 1 | no | — |
| 944 | C23 | C2×D4×D5 | 1 | 2 | yes | — |
| 945 | C23 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 946 | Q8 | — | 2 | 2 | no | — |
| 947 | Q8 | — | 2 | 1 | no | — |
| 948 | Q8 | — | 2 | 2 | no | — |
| 949 | Q8 | — | 2 | 2 | no | — |
| 950 | Q8 | — | 2 | 2 | no | — |
| 951 | Q8 | — | 2 | 2 | no | — |
| 952 | Q8 | — | 4 | 4 | no | — |
| 953 | Q8 | — | 4 | 2 | no | — |
| 954 | Q8 | — | 4 | 2 | no | — |
| 955 | Q8 | — | 5 | 2 | no | — |
| 956 | Q8 | — | 10 | 2 | no | — |
| 957 | Q8 | — | 10 | 1 | no | — |
| 958 | Q8 | — | 10 | 2 | no | — |
| 959 | Q8 | — | 10 | 2 | no | — |
| 960 | Q8 | — | 10 | 2 | no | — |
| 961 | Q8 | — | 10 | 2 | no | — |
| 962 | Q8 | — | 20 | 4 | no | — |
| 963 | Q8 | — | 20 | 4 | no | — |
| 964 | Q8 | — | 20 | 4 | no | — |
| 965 | Q8 | — | 20 | 2 | no | — |
| 966 | Q8 | — | 20 | 2 | no | — |
| 967 | Q8 | C2×D4×D5 | 1 | 2 | yes | — |
| 968 | D4 | — | 2 | 4 | no | — |
| 969 | D4 | — | 2 | 4 | no | — |
| 970 | D4 | — | 2 | 2 | no | — |
| 971 | D4 | — | 2 | 1 | no | — |
| 972 | D4 | — | 4 | 4 | no | — |
| 973 | D4 | — | 5 | 2 | no | — |
| 974 | D4 | — | 10 | 8 | no | — |
| 975 | D4 | — | 10 | 4 | no | — |
| 976 | D4 | — | 10 | 4 | no | — |
| 977 | D4 | — | 10 | 2 | no | — |
| 978 | D4 | — | 10 | 1 | no | — |
| 979 | D4 | — | 20 | 4 | no | — |
| 980 | D4 | — | 20 | 4 | no | — |
| 981 | D4 | — | 20 | 4 | no | — |
| 982 | D4 | C2×D4×D5 | 1 | 2 | yes | — |
| 983 | C2×C4 | — | 2 | 1 | no | — |
| 984 | C2×C4 | — | 2 | 4 | no | — |
| 985 | C2×C4 | — | 2 | 2 | no | — |
| 986 | C2×C4 | — | 2 | 2 | no | — |
| 987 | C2×C4 | — | 2 | 2 | no | — |
| 988 | C2×C4 | — | 2 | 2 | no | — |
| 989 | C2×C4 | — | 2 | 2 | no | — |
| 990 | C2×C4 | — | 4 | 4 | no | — |
| 991 | C2×C4 | — | 4 | 4 | no | — |
| 992 | C2×C4 | — | 4 | 2 | no | — |
| 993 | C2×C4 | — | 4 | 2 | no | — |
| 994 | C2×C4 | — | 5 | 2 | no | — |
| 995 | C2×C4 | — | 5 | 2 | no | — |
| 996 | C2×C4 | — | 5 | 2 | no | — |
| 997 | C2×C4 | — | 10 | 4 | no | — |
| 998 | C2×C4 | — | 10 | 1 | no | — |
| 999 | C2×C4 | — | 10 | 4 | no | — |
| 1000 | C2×C4 | — | 10 | 2 | no | — |
| 1001 | C2×C4 | — | 10 | 2 | no | — |
| 1002 | C2×C4 | — | 10 | 2 | no | — |
| 1003 | C2×C4 | — | 10 | 2 | no | — |
| 1004 | C2×C4 | — | 10 | 2 | no | — |
| 1005 | C2×C4 | — | 20 | 4 | no | — |
| 1006 | C2×C4 | — | 20 | 4 | no | — |
| 1007 | C2×C4 | — | 20 | 4 | no | — |
| 1008 | C2×C4 | — | 20 | 4 | no | — |
| 1009 | C2×C4 | — | 20 | 4 | no | — |
| 1010 | C2×C4 | — | 20 | 4 | no | — |
| 1011 | C2×C4 | — | 20 | 4 | no | — |
| 1012 | C2×C4 | — | 20 | 4 | no | — |
| 1013 | C2×C4 | — | 20 | 2 | no | — |
| 1014 | C2×C4 | — | 20 | 2 | no | — |
| 1015 | C2×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 1016 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 1017 | C2×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 1018 | C2×C4 | #4144 | 1 | 2 | yes | — |
| 1019 | C2×C4 | C24×D5 | 1 | 1 | yes | characteristic |
| 1020 | C8 | — | 2 | 2 | no | — |
| 1021 | C8 | — | 2 | 2 | no | — |
| 1022 | C8 | — | 5 | 2 | no | — |
| 1023 | C8 | — | 5 | 2 | no | — |
| 1024 | C8 | — | 10 | 2 | no | — |
| 1025 | C5 | #61091 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1026 | C22 | — | 2 | 2 | no | — |
| 1027 | C22 | — | 2 | 2 | no | — |
| 1028 | C22 | — | 2 | 2 | no | — |
| 1029 | C22 | — | 2 | 4 | no | — |
| 1030 | C22 | — | 4 | 2 | no | — |
| 1031 | C22 | — | 10 | 2 | no | — |
| 1032 | C22 | — | 10 | 2 | no | — |
| 1033 | C22 | — | 10 | 4 | no | — |
| 1034 | C22 | — | 20 | 2 | no | — |
| 1035 | C22 | #65924 | 1 | 2 | yes | — |
| 1036 | C22 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 1037 | C4 | — | 2 | 2 | no | — |
| 1038 | C4 | — | 2 | 2 | no | — |
| 1039 | C4 | — | 4 | 2 | no | — |
| 1040 | C4 | — | 4 | 2 | no | — |
| 1041 | C4 | — | 4 | 2 | no | — |
| 1042 | C4 | — | 5 | 4 | no | — |
| 1043 | C4 | — | 10 | 2 | no | — |
| 1044 | C4 | — | 10 | 2 | no | — |
| 1045 | C4 | — | 10 | 2 | no | — |
| 1046 | C4 | — | 20 | 2 | no | — |
| 1047 | C4 | — | 20 | 2 | no | — |
| 1048 | C4 | — | 20 | 2 | no | — |
| 1049 | C4 | #65924 | 1 | 2 | yes | — |
| 1050 | C4 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 1051 | C4 | C2×#4144 | 1 | 1 | yes | characteristic |
| 1052 | C2 | — | 2 | 2 | no | — |
| 1053 | C2 | — | 4 | 2 | no | — |
| 1054 | C2 | — | 4 | 2 | no | — |
| 1055 | C2 | — | 20 | 2 | no | — |
| 1056 | C2 | — | 20 | 2 | no | — |
| 1057 | C2 | C2×#65924 | 1 | 1 | yes | characteristic |
| 1058 | C2 | D5×#578 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10619193 | C2 | semidirect |
| 2. C2×#66172 | C2 | semidirect |
| 3. C2×#66113 | C2 | semidirect |
| 4. #10618241 | C2 | semidirect |
| 5. C5×#3011 | C2 | semidirect |
| 6. #10615698 | C2 | semidirect |
| 7. #10615615 | C2 | semidirect |
| 8. C2×#65470 | C2 | semidirect |
| 9. #10615130 | C2 | semidirect |
| 10. #10612005 | C2 | semidirect |
| 11. #10612000 | C2 | semidirect |
| 12. #10611942 | C2 | semidirect |
| 13. #10611937 | C2 | semidirect |
| 14. #10610705 | C2 | semidirect |
| 15. #10610695 | C2 | semidirect |
| 16. #10610568 | C2 | semidirect |
| 17. #10610549 | C2 | semidirect |
| 18. #10610410 | C2 | semidirect |
| 19. #10610388 | C2 | semidirect |
| 155. #4096 | D4 | semidirect |
| 275. #3011 | D5 | semidirect |
| 779. Dic5 | #578 | semidirect |
| 1025. C5 | #61091 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.