Finite Group DatabasebetaFinite Group DatabasebetaOrder 1536.
1564 conjugacy classes of subgroups.
The subgroup lattice has 1116 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11665268 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #10947848 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10795557 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10713827 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10713457 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10713455 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10712660 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10712650 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10712645 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10712635 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10710472 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10710470 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10710458 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10710456 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C3×#13291 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #495573 | — | 3 | 1 | no | maximal, Sylow |
| 17 | #86582 | — | 2 | 1 | no | — |
| 18 | C3×#3163 | C22 | 1 | 1 | yes | characteristic |
| 19 | #83470 | — | 2 | 1 | no | — |
| 20 | #82007 | C22 | 1 | 1 | yes | characteristic |
| 21 | #82007 | C22 | 1 | 1 | yes | characteristic |
| 22 | #81962 | — | 2 | 2 | no | — |
| 23 | #81961 | — | 2 | 2 | no | — |
| 24 | #81911 | C4 | 1 | 2 | yes | complemented |
| 25 | #81909 | C4 | 1 | 2 | yes | complemented |
| 26 | #81888 | C4 | 1 | 2 | yes | complemented |
| 27 | #81887 | C4 | 1 | 2 | yes | complemented |
| 28 | #79213 | — | 2 | 1 | no | — |
| 29 | #79199 | — | 2 | 1 | no | — |
| 30 | #79183 | C22 | 1 | 1 | yes | characteristic |
| 31 | #79166 | C22 | 1 | 1 | yes | characteristic |
| 32 | #79120 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#4869 | C22 | 1 | 1 | yes | characteristic |
| 34 | #78565 | C22 | 1 | 1 | yes | characteristic |
| 35 | #78550 | C22 | 1 | 1 | yes | characteristic |
| 36 | C3×#2110 | C22 | 1 | 1 | yes | characteristic |
| 37 | C3×#1833 | C22 | 1 | 1 | yes | characteristic |
| 38 | #71450 | C22 | 1 | 1 | yes | characteristic |
| 39 | #71448 | C22 | 1 | 1 | yes | characteristic |
| 40 | C2×#4516 | C22 | 1 | 1 | yes | characteristic |
| 41 | #71440 | C22 | 1 | 1 | yes | characteristic |
| 42 | C2×#4512 | C22 | 1 | 1 | yes | characteristic |
| 43 | C2×#4512 | C22 | 1 | 1 | yes | characteristic |
| 44 | #70718 | C22 | 1 | 1 | yes | characteristic |
| 45 | #70703 | C22 | 1 | 1 | yes | characteristic |
| 46 | #70690 | C22 | 1 | 1 | yes | characteristic |
| 47 | C2×#4495 | C22 | 1 | 1 | yes | characteristic |
| 48 | #70664 | C22 | 1 | 1 | yes | characteristic |
| 49 | #70660 | C22 | 1 | 1 | yes | characteristic |
| 50 | #70656 | C22 | 1 | 1 | yes | characteristic |
| 51 | #70652 | C22 | 1 | 1 | yes | characteristic |
| 52 | #69896 | C22 | 1 | 1 | yes | characteristic |
| 53 | #69884 | C22 | 1 | 1 | yes | characteristic |
| 54 | #69087 | — | 2 | 2 | no | — |
| 55 | D3×#347 | — | 2 | 2 | no | — |
| 56 | #69017 | — | 2 | 1 | no | — |
| 57 | #69014 | — | 2 | 1 | no | — |
| 58 | #68711 | — | 2 | 1 | no | — |
| 59 | #68697 | — | 2 | 1 | no | — |
| 60 | C3×#1389 | C22 | 1 | 1 | yes | characteristic |
| 61 | C3×#1386 | C22 | 1 | 1 | yes | characteristic |
| 62 | C3×#1384 | C22 | 1 | 1 | yes | characteristic |
| 63 | C3×#1383 | C22 | 1 | 1 | yes | characteristic |
| 64 | #67727 | C22 | 1 | 1 | yes | characteristic |
| 65 | #67725 | C22 | 1 | 1 | yes | characteristic |
| 66 | #67721 | C22 | 1 | 1 | yes | characteristic |
| 67 | #67720 | C22 | 1 | 1 | yes | characteristic |
| 68 | #60698 | — | 3 | 1 | no | — |
| 69 | #33329 | — | 3 | 1 | no | — |
| 70 | #20788 | — | 3 | 1 | no | — |
| 71 | #13291 | — | 3 | 1 | no | — |
| 72 | #13291 | D3 | 1 | 1 | yes | characteristic, complemented |
| 73 | #13215 | — | 3 | 1 | no | — |
| 74 | #13215 | — | 3 | 1 | no | — |
| 75 | #13079 | — | 3 | 1 | no | — |
| 76 | #13077 | — | 3 | 1 | no | — |
| 77 | #13076 | — | 3 | 1 | no | — |
| 78 | #13074 | — | 3 | 1 | no | — |
| 79 | #12649 | — | 3 | 1 | no | — |
| 80 | #12649 | — | 3 | 1 | no | — |
| 81 | #12647 | — | 3 | 1 | no | — |
| 82 | #12647 | — | 3 | 1 | no | — |
| 83 | C3×#544 | — | 2 | 1 | no | — |
| 84 | C2×#908 | — | 2 | 1 | no | — |
| 85 | C2×#907 | D4 | 1 | 1 | yes | characteristic |
| 86 | C2×#904 | C23 | 1 | 1 | yes | characteristic |
| 87 | C22×D24 | C23 | 1 | 1 | yes | characteristic |
| 88 | C2×#901 | C23 | 1 | 1 | yes | characteristic |
| 89 | #5733 | — | 2 | 2 | no | — |
| 90 | #5733 | — | 4 | 1 | no | — |
| 91 | #5725 | — | 2 | 2 | no | — |
| 92 | #5725 | — | 4 | 1 | no | — |
| 93 | #5697 | — | 2 | 2 | no | — |
| 94 | #5697 | — | 4 | 1 | no | — |
| 95 | #5691 | — | 2 | 2 | no | — |
| 96 | #5691 | — | 4 | 1 | no | — |
| 97 | #5644 | — | 4 | 2 | no | — |
| 98 | #5627 | — | 4 | 2 | no | — |
| 99 | #5525 | — | 2 | 1 | no | — |
| 100 | #5525 | — | 2 | 1 | no | — |
| 101 | #5522 | — | 2 | 1 | no | — |
| 102 | #5522 | D4 | 1 | 1 | yes | characteristic |
| 103 | #5510 | — | 2 | 1 | no | — |
| 104 | C2×#893 | — | 2 | 1 | no | — |
| 105 | C2×C3×M32 | C23 | 1 | 1 | yes | characteristic |
| 106 | C2×C3×M32 | C23 | 1 | 1 | yes | characteristic |
| 107 | C3×#501 | — | 2 | 2 | no | — |
| 108 | C3×#499 | C2×C4 | 1 | 2 | yes | — |
| 109 | C3×#498 | C2×C4 | 1 | 2 | yes | — |
| 110 | C2×C3×#108 | C23 | 1 | 1 | yes | characteristic |
| 111 | C3×#428 | — | 2 | 1 | no | — |
| 112 | C3×#427 | C23 | 1 | 1 | yes | characteristic |
| 113 | C3×#427 | C23 | 1 | 1 | yes | characteristic |
| 114 | C2×C3×#106 | C23 | 1 | 1 | yes | characteristic |
| 115 | C3×#405 | C23 | 1 | 1 | yes | characteristic |
| 116 | #5132 | — | 2 | 1 | no | — |
| 117 | #5122 | — | 2 | 1 | no | — |
| 118 | Dic3×M16 | D4 | 1 | 1 | yes | characteristic |
| 119 | C2×#819 | C23 | 1 | 1 | yes | characteristic |
| 120 | #5106 | C23 | 1 | 1 | yes | characteristic |
| 121 | C2×#815 | C23 | 1 | 1 | yes | characteristic |
| 122 | C2×#812 | C23 | 1 | 1 | yes | characteristic |
| 123 | C2×#812 | C23 | 1 | 1 | yes | characteristic |
| 124 | #5089 | — | 2 | 2 | no | — |
| 125 | #5088 | — | 2 | 2 | no | — |
| 126 | #5068 | — | 2 | 2 | no | — |
| 127 | #5067 | — | 2 | 2 | no | — |
| 128 | #5006 | — | 2 | 1 | no | — |
| 129 | #5002 | — | 2 | 1 | no | — |
| 130 | #5001 | — | 2 | 1 | no | — |
| 131 | #4997 | — | 2 | 1 | no | — |
| 132 | #4997 | D4 | 1 | 1 | yes | characteristic |
| 133 | #4966 | — | 2 | 1 | no | — |
| 134 | C2×#809 | — | 2 | 1 | no | — |
| 135 | #4907 | — | 2 | 2 | no | — |
| 136 | #4907 | — | 2 | 2 | no | — |
| 137 | D3×M32 | — | 2 | 2 | no | — |
| 138 | D3×M32 | — | 2 | 2 | no | — |
| 139 | #4901 | — | 2 | 2 | no | — |
| 140 | #4901 | — | 2 | 2 | no | — |
| 141 | #4889 | — | 2 | 2 | no | — |
| 142 | #4889 | — | 2 | 1 | no | — |
| 143 | #4889 | — | 2 | 1 | no | — |
| 144 | #4886 | — | 2 | 2 | no | — |
| 145 | #4883 | — | 2 | 2 | no | — |
| 146 | #4883 | — | 2 | 2 | no | — |
| 147 | #4872 | — | 2 | 2 | no | — |
| 148 | #4869 | — | 2 | 2 | no | — |
| 149 | #4869 | — | 2 | 1 | no | — |
| 150 | #4869 | — | 2 | 1 | no | — |
| 151 | #4869 | C2×C4 | 1 | 2 | yes | — |
| 152 | #4869 | C2×C4 | 1 | 2 | yes | — |
| 153 | #4869 | C2×C4 | 1 | 1 | yes | characteristic |
| 154 | #4869 | C2×C4 | 1 | 1 | yes | characteristic |
| 155 | #4867 | C2×C4 | 1 | 2 | yes | — |
| 156 | #4865 | — | 2 | 2 | no | — |
| 157 | #4865 | C2×C4 | 1 | 2 | yes | — |
| 158 | #4865 | C2×C4 | 1 | 2 | yes | — |
| 159 | #4865 | C2×C4 | 1 | 2 | yes | — |
| 160 | #4864 | — | 2 | 2 | no | — |
| 161 | #4864 | — | 2 | 2 | no | — |
| 162 | #4853 | C2×C4 | 1 | 1 | yes | characteristic |
| 163 | #4853 | C2×C4 | 1 | 1 | yes | characteristic |
| 164 | #4852 | — | 2 | 2 | no | — |
| 165 | #4712 | — | 2 | 2 | no | — |
| 166 | #4708 | D4 | 1 | 2 | yes | — |
| 167 | D3×#97 | D4 | 1 | 2 | yes | — |
| 168 | #4696 | C2×C4 | 1 | 2 | yes | — |
| 169 | #4695 | C2×C4 | 1 | 2 | yes | — |
| 170 | #4689 | C2×C4 | 1 | 2 | yes | — |
| 171 | C4×ΓL(1,𝔽25) | C2×C4 | 1 | 2 | yes | — |
| 172 | C3×#347 | — | 2 | 2 | no | — |
| 173 | C3×#344 | — | 2 | 1 | no | — |
| 174 | C3×H(3,ℤ/4) | — | 2 | 1 | no | — |
| 175 | C3⋊#338 | — | 2 | 1 | no | — |
| 176 | #4556 | — | 2 | 1 | no | — |
| 177 | #4555 | — | 2 | 1 | no | — |
| 178 | #4532 | — | 2 | 1 | no | — |
| 179 | #4531 | — | 2 | 1 | no | — |
| 180 | #4531 | — | 2 | 1 | no | — |
| 181 | #4518 | — | 2 | 2 | no | — |
| 182 | #4516 | — | 2 | 2 | no | — |
| 183 | #4512 | — | 2 | 1 | no | — |
| 184 | #4512 | — | 2 | 1 | no | — |
| 185 | #4512 | — | 2 | 1 | no | — |
| 186 | #4512 | — | 2 | 1 | no | — |
| 187 | #4510 | — | 2 | 2 | no | — |
| 188 | #4509 | — | 2 | 2 | no | — |
| 189 | #4497 | — | 2 | 2 | no | — |
| 190 | #4495 | — | 2 | 2 | no | — |
| 191 | #4491 | — | 2 | 2 | no | — |
| 192 | #4488 | — | 2 | 2 | no | — |
| 193 | #4466 | — | 2 | 2 | no | — |
| 194 | #3460 | — | 6 | 1 | no | — |
| 195 | #3407 | — | 3 | 1 | no | — |
| 196 | #3407 | — | 3 | 1 | no | — |
| 197 | #3184 | — | 3 | 2 | no | — |
| 198 | #3183 | — | 3 | 2 | no | — |
| 199 | #3180 | — | 6 | 2 | no | — |
| 200 | #3179 | — | 6 | 2 | no | — |
| 201 | #3176 | — | 3 | 2 | no | — |
| 202 | #3173 | — | 3 | 2 | no | — |
| 203 | #3163 | C2×D3 | 1 | 1 | yes | characteristic |
| 204 | #3155 | — | 3 | 1 | no | — |
| 205 | #3136 | — | 6 | 1 | no | — |
| 206 | #3062 | — | 6 | 1 | no | — |
| 207 | #3060 | — | 3 | 1 | no | — |
| 208 | #3058 | — | 3 | 1 | no | — |
| 209 | C4×AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 210 | #2943 | — | 3 | 1 | no | — |
| 211 | C2×#442 | — | 3 | 1 | no | — |
| 212 | #2875 | — | 3 | 1 | no | — |
| 213 | C2×#361 | — | 3 | 1 | no | — |
| 214 | C2×#361 | — | 3 | 1 | no | — |
| 215 | #2145 | — | 3 | 1 | no | — |
| 216 | #2145 | — | 3 | 1 | no | — |
| 217 | #2143 | — | 3 | 1 | no | — |
| 218 | #2143 | — | 3 | 1 | no | — |
| 219 | #2140 | — | 3 | 1 | no | — |
| 220 | #2140 | — | 3 | 1 | no | — |
| 221 | #2110 | — | 3 | 1 | no | — |
| 222 | #2110 | — | 6 | 2 | no | — |
| 223 | #2110 | C2×D3 | 1 | 1 | yes | characteristic |
| 224 | C2×#347 | — | 3 | 1 | no | — |
| 225 | C2×#347 | — | 3 | 1 | no | — |
| 226 | C2×#347 | — | 6 | 2 | no | — |
| 227 | #1841 | — | 6 | 1 | no | — |
| 228 | #1833 | — | 3 | 1 | no | — |
| 229 | #1833 | C2×D3 | 1 | 1 | yes | characteristic |
| 230 | #1827 | — | 6 | 1 | no | — |
| 231 | #1813 | — | 3 | 1 | no | — |
| 232 | #1812 | — | 3 | 1 | no | — |
| 233 | #1773 | — | 3 | 1 | no | — |
| 234 | #1773 | — | 3 | 1 | no | — |
| 235 | #1757 | — | 6 | 1 | no | — |
| 236 | #1747 | — | 6 | 1 | no | — |
| 237 | #1389 | — | 3 | 1 | no | — |
| 238 | #1389 | C2×D3 | 1 | 1 | yes | characteristic |
| 239 | #1386 | — | 3 | 1 | no | — |
| 240 | #1386 | C2×D3 | 1 | 1 | yes | characteristic |
| 241 | #1384 | — | 3 | 1 | no | — |
| 242 | #1384 | C2×D3 | 1 | 1 | yes | characteristic |
| 243 | #1383 | — | 3 | 1 | no | — |
| 244 | #1383 | C2×D3 | 1 | 1 | yes | characteristic |
| 245 | C2×#239 | — | 4 | 2 | no | — |
| 246 | C2×#235 | — | 2 | 1 | no | — |
| 247 | C2×#235 | C2×D4 | 1 | 1 | yes | characteristic |
| 248 | C22×D12 | — | 2 | 1 | no | — |
| 249 | C22×C4×D3 | — | 4 | 1 | no | — |
| 250 | C2×C3×M16 | — | 2 | 1 | no | — |
| 251 | C2×C3×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 252 | C22×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 253 | C3×C4⋊Q8 | — | 2 | 2 | no | — |
| 254 | C3×C4⋊Q8 | — | 4 | 1 | no | — |
| 255 | C3×#125 | — | 2 | 2 | no | — |
| 256 | C3×#125 | — | 4 | 1 | no | — |
| 257 | C3×C22⋊Q8 | — | 4 | 2 | no | — |
| 258 | C3×#117 | — | 2 | 1 | no | — |
| 259 | C3×#117 | — | 2 | 1 | no | — |
| 260 | C3×#117 | C2×D4 | 1 | 1 | yes | characteristic |
| 261 | C2×C3×C4⋊C4 | — | 2 | 1 | no | — |
| 262 | #947 | — | 4 | 2 | no | — |
| 263 | #947 | — | 4 | 2 | no | — |
| 264 | #946 | — | 4 | 2 | no | — |
| 265 | #930 | — | 4 | 2 | no | — |
| 266 | C2×(C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 267 | #926 | — | 2 | 1 | no | — |
| 268 | C2×C4×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 269 | C2×#208 | — | 2 | 1 | no | — |
| 270 | C2×#208 | C2×D4 | 1 | 1 | yes | characteristic |
| 271 | C22×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 272 | #908 | — | 4 | 2 | no | — |
| 273 | #908 | — | 4 | 2 | no | — |
| 274 | #907 | — | 4 | 1 | no | — |
| 275 | #907 | — | 4 | 1 | no | — |
| 276 | C2×Dic12 | C22×C4 | 1 | 1 | yes | characteristic |
| 277 | #904 | — | 2 | 1 | no | — |
| 278 | #904 | — | 2 | 1 | no | — |
| 279 | #904 | — | 2 | 1 | no | — |
| 280 | #904 | — | 2 | 1 | no | — |
| 281 | C2×D24 | — | 2 | 1 | no | — |
| 282 | C2×D24 | — | 2 | 1 | no | — |
| 283 | C2×D24 | — | 2 | 1 | no | — |
| 284 | C2×D24 | — | 2 | 1 | no | — |
| 285 | C2×D24 | — | 2 | 2 | no | — |
| 286 | C2×D24 | — | 2 | 1 | no | — |
| 287 | C2×D24 | C22×C4 | 1 | 1 | yes | characteristic |
| 288 | C2×D24 | C22×C4 | 1 | 2 | yes | — |
| 289 | C2×#204 | — | 2 | 2 | no | — |
| 290 | C2×#204 | — | 2 | 1 | no | — |
| 291 | #901 | — | 2 | 1 | no | — |
| 292 | #901 | — | 2 | 1 | no | — |
| 293 | #901 | — | 2 | 1 | no | — |
| 294 | #901 | — | 2 | 1 | no | — |
| 295 | C2×ΓL(1,𝔽25) | C22⋊C4 | 1 | 2 | yes | — |
| 296 | C2×ΓL(1,𝔽25) | C22×C4 | 1 | 2 | yes | — |
| 297 | C2×D3×C8 | C22⋊C4 | 1 | 2 | yes | — |
| 298 | C2×D3×C8 | C2×D4 | 1 | 2 | yes | — |
| 299 | #898 | — | 4 | 2 | no | — |
| 300 | #898 | — | 4 | 2 | no | — |
| 301 | #897 | — | 2 | 2 | no | — |
| 302 | #897 | — | 4 | 1 | no | — |
| 303 | #895 | — | 2 | 2 | no | — |
| 304 | #895 | — | 2 | 2 | no | — |
| 305 | #895 | — | 2 | 2 | no | — |
| 306 | #895 | — | 4 | 2 | no | — |
| 307 | #895 | — | 4 | 2 | no | — |
| 308 | #895 | — | 4 | 1 | no | — |
| 309 | #895 | — | 4 | 1 | no | — |
| 310 | #895 | — | 4 | 2 | no | — |
| 311 | #895 | — | 4 | 1 | no | — |
| 312 | #894 | — | 4 | 2 | no | — |
| 313 | #894 | — | 4 | 2 | no | — |
| 314 | #894 | — | 4 | 2 | no | — |
| 315 | #894 | — | 4 | 2 | no | — |
| 316 | #893 | — | 2 | 1 | no | — |
| 317 | #893 | — | 2 | 2 | no | — |
| 318 | #893 | — | 2 | 1 | no | — |
| 319 | #893 | — | 2 | 2 | no | — |
| 320 | #893 | — | 2 | 1 | no | — |
| 321 | #893 | — | 4 | 2 | no | — |
| 322 | #893 | — | 4 | 1 | no | — |
| 323 | #893 | — | 4 | 1 | no | — |
| 324 | #893 | — | 4 | 2 | no | — |
| 325 | #892 | — | 4 | 2 | no | — |
| 326 | #887 | — | 2 | 1 | no | — |
| 327 | #887 | — | 2 | 1 | no | — |
| 328 | #887 | — | 2 | 1 | no | — |
| 329 | #882 | — | 4 | 2 | no | — |
| 330 | #882 | — | 4 | 2 | no | — |
| 331 | #67⋊C4 | — | 2 | 2 | no | — |
| 332 | #67⋊C4 | — | 4 | 1 | no | — |
| 333 | #67⋊C4 | — | 4 | 1 | no | — |
| 334 | #875 | — | 2 | 2 | no | — |
| 335 | #875 | — | 4 | 1 | no | — |
| 336 | #874 | — | 2 | 2 | no | — |
| 337 | #874 | — | 4 | 1 | no | — |
| 338 | #872 | — | 4 | 1 | no | — |
| 339 | #872 | C22⋊C4 | 1 | 2 | yes | — |
| 340 | C42×D3 | — | 4 | 1 | no | — |
| 341 | C42×D3 | C22⋊C4 | 1 | 2 | yes | — |
| 342 | C3×M32 | — | 2 | 1 | no | — |
| 343 | C3×M32 | — | 2 | 1 | no | — |
| 344 | C3×M32 | — | 2 | 1 | no | — |
| 345 | C3×M32 | #41 | 1 | 2 | yes | complemented |
| 346 | C2×C3×C16 | — | 2 | 1 | no | — |
| 347 | C2×C3×C16 | #41 | 1 | 2 | yes | complemented |
| 348 | C3×#108 | — | 2 | 1 | no | — |
| 349 | C3×#108 | — | 2 | 1 | no | — |
| 350 | C3×#107 | — | 2 | 2 | no | — |
| 351 | C3×#107 | — | 2 | 1 | no | — |
| 352 | C3×#107 | — | 2 | 1 | no | — |
| 353 | C3×#106 | — | 2 | 2 | no | — |
| 354 | C3×#106 | — | 2 | 1 | no | — |
| 355 | C3×#106 | — | 2 | 1 | no | — |
| 356 | C3×#106 | C22×C4 | 1 | 1 | yes | characteristic |
| 357 | C3×#106 | C22×C4 | 1 | 1 | yes | characteristic |
| 358 | C3×#106 | C22×C4 | 1 | 2 | yes | — |
| 359 | C3×#97 | C2×D4 | 1 | 2 | yes | — |
| 360 | C3×C4×C8 | C22×C4 | 1 | 2 | yes | — |
| 361 | #824 | — | 4 | 1 | no | — |
| 362 | #823 | — | 4 | 1 | no | — |
| 363 | #819 | — | 2 | 1 | no | — |
| 364 | #819 | — | 2 | 1 | no | — |
| 365 | #818 | — | 2 | 1 | no | — |
| 366 | #817 | — | 2 | 1 | no | — |
| 367 | #815 | — | 4 | 1 | no | — |
| 368 | #815 | C22⋊C4 | 1 | 2 | yes | — |
| 369 | #815 | C22×C4 | 1 | 1 | yes | characteristic |
| 370 | #815 | C22×C4 | 1 | 1 | yes | characteristic |
| 371 | #815 | C2×D4 | 1 | 1 | yes | characteristic |
| 372 | #815 | C2×D4 | 1 | 1 | yes | characteristic |
| 373 | C8×Dic3 | — | 4 | 1 | no | — |
| 374 | C8×Dic3 | C22⋊C4 | 1 | 2 | yes | — |
| 375 | #812 | — | 2 | 1 | no | — |
| 376 | #812 | — | 2 | 1 | no | — |
| 377 | #812 | — | 2 | 1 | no | — |
| 378 | #812 | #41 | 1 | 2 | yes | complemented |
| 379 | C2×C3⋊C16 | — | 2 | 1 | no | — |
| 380 | C2×C3⋊C16 | #41 | 1 | 2 | yes | complemented |
| 381 | #810 | — | 2 | 1 | no | — |
| 382 | #810 | — | 2 | 2 | no | — |
| 383 | #810 | — | 2 | 1 | no | — |
| 384 | #809 | — | 2 | 2 | no | — |
| 385 | #809 | — | 2 | 2 | no | — |
| 386 | #809 | — | 2 | 1 | no | — |
| 387 | #809 | — | 2 | 2 | no | — |
| 388 | #809 | — | 2 | 2 | no | — |
| 389 | #809 | — | 2 | 2 | no | — |
| 390 | #809 | — | 2 | 1 | no | — |
| 391 | #806 | — | 4 | 2 | no | — |
| 392 | #803 | — | 4 | 1 | no | — |
| 393 | #803 | C22⋊C4 | 1 | 2 | yes | — |
| 394 | C4×C3⋊C8 | — | 4 | 1 | no | — |
| 395 | C4×C3⋊C8 | C22⋊C4 | 1 | 2 | yes | — |
| 396 | #798 | — | 2 | 4 | no | — |
| 397 | #798 | — | 2 | 4 | no | — |
| 398 | D3×C16 | — | 2 | 4 | no | — |
| 399 | D3×C16 | — | 2 | 4 | no | — |
| 400 | C2×AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 401 | C2×#135 | — | 3 | 1 | no | — |
| 402 | C22×D8 | — | 3 | 1 | no | — |
| 403 | C2×#131 | — | 3 | 1 | no | — |
| 404 | C2×#131 | — | 3 | 1 | no | — |
| 405 | #544 | — | 2 | 1 | no | — |
| 406 | #542 | — | 6 | 2 | no | — |
| 407 | #542 | — | 12 | 1 | no | — |
| 408 | #540 | — | 6 | 2 | no | — |
| 409 | #540 | — | 12 | 1 | no | — |
| 410 | #538 | — | 12 | 2 | no | — |
| 411 | #537 | — | 6 | 1 | no | — |
| 412 | #535 | — | 6 | 1 | no | — |
| 413 | #535 | — | 6 | 1 | no | — |
| 414 | #532 | — | 6 | 2 | no | — |
| 415 | #532 | — | 12 | 1 | no | — |
| 416 | #529 | — | 6 | 2 | no | — |
| 417 | #529 | — | 12 | 1 | no | — |
| 418 | #525 | — | 12 | 2 | no | — |
| 419 | C4×#41 | — | 3 | 1 | no | — |
| 420 | C4×#41 | — | 6 | 1 | no | — |
| 421 | C2×C4×D4 | — | 6 | 1 | no | — |
| 422 | #504 | — | 6 | 2 | no | — |
| 423 | #504 | — | 6 | 2 | no | — |
| 424 | #504 | — | 6 | 2 | no | — |
| 425 | #504 | — | 6 | 2 | no | — |
| 426 | C2×M32 | — | 3 | 1 | no | — |
| 427 | C2×M32 | — | 3 | 1 | no | — |
| 428 | C2×M32 | — | 6 | 2 | no | — |
| 429 | C2×M32 | — | 6 | 2 | no | — |
| 430 | C2×M32 | C22×D3 | 1 | 1 | yes | characteristic |
| 431 | C2×M32 | C22×D3 | 1 | 1 | yes | characteristic |
| 432 | #501 | — | 2 | 2 | no | — |
| 433 | #499 | C4×D3 | 1 | 2 | yes | — |
| 434 | #498 | C4×D3 | 1 | 2 | yes | — |
| 435 | #496 | — | 6 | 2 | no | — |
| 436 | #495 | — | 3 | 2 | no | — |
| 437 | #493 | — | 3 | 2 | no | — |
| 438 | #490 | — | 6 | 2 | no | — |
| 439 | #489 | — | 6 | 2 | no | — |
| 440 | #488 | — | 6 | 2 | no | — |
| 441 | #486 | — | 6 | 2 | no | — |
| 442 | #470 | — | 3 | 2 | no | — |
| 443 | #469 | — | 3 | 2 | no | — |
| 444 | #469 | — | 3 | 2 | no | — |
| 445 | #469 | — | 3 | 2 | no | — |
| 446 | #469 | — | 6 | 2 | no | — |
| 447 | #468 | — | 6 | 2 | no | — |
| 448 | #466 | — | 6 | 2 | no | — |
| 449 | #466 | — | 6 | 2 | no | — |
| 450 | #465 | — | 6 | 2 | no | — |
| 451 | #465 | — | 6 | 2 | no | — |
| 452 | #442 | — | 3 | 2 | no | — |
| 453 | #442 | — | 3 | 1 | no | — |
| 454 | #442 | — | 3 | 2 | no | — |
| 455 | #442 | — | 3 | 1 | no | — |
| 456 | #442 | — | 6 | 1 | no | — |
| 457 | #442 | — | 6 | 1 | no | — |
| 458 | #442 | — | 6 | 2 | no | — |
| 459 | #441 | — | 3 | 1 | no | — |
| 460 | #441 | — | 3 | 1 | no | — |
| 461 | #440 | — | 6 | 1 | no | — |
| 462 | #440 | — | 6 | 1 | no | — |
| 463 | #440 | — | 6 | 2 | no | — |
| 464 | C4×SD16 | — | 6 | 2 | no | — |
| 465 | C4×D8 | — | 6 | 2 | no | — |
| 466 | C2×#108 | — | 3 | 1 | no | — |
| 467 | C2×#108 | C22×D3 | 1 | 1 | yes | characteristic |
| 468 | #428 | — | 2 | 1 | no | — |
| 469 | #427 | — | 3 | 1 | no | — |
| 470 | #427 | C22×D3 | 1 | 1 | yes | characteristic |
| 471 | #427 | C22×D3 | 1 | 1 | yes | characteristic |
| 472 | C2×#106 | C22×D3 | 1 | 1 | yes | characteristic |
| 473 | #418 | — | 6 | 1 | no | — |
| 474 | #417 | — | 6 | 1 | no | — |
| 475 | #416 | — | 6 | 1 | no | — |
| 476 | C2×#102 | — | 6 | 1 | no | — |
| 477 | #413 | — | 6 | 1 | no | — |
| 478 | #410 | — | 6 | 1 | no | — |
| 479 | #405 | — | 3 | 1 | no | — |
| 480 | #405 | — | 3 | 2 | no | — |
| 481 | #405 | — | 3 | 2 | no | — |
| 482 | #405 | — | 6 | 1 | no | — |
| 483 | #405 | — | 6 | 1 | no | — |
| 484 | #405 | C22×D3 | 1 | 1 | yes | characteristic |
| 485 | C4×M16 | — | 3 | 1 | no | — |
| 486 | C4×M16 | — | 3 | 2 | no | — |
| 487 | C2×#97 | — | 3 | 1 | no | — |
| 488 | C2×#97 | — | 3 | 2 | no | — |
| 489 | #361 | — | 6 | 2 | no | — |
| 490 | #361 | — | 6 | 2 | no | — |
| 491 | #360 | — | 6 | 2 | no | — |
| 492 | #360 | — | 6 | 2 | no | — |
| 493 | #359 | — | 6 | 2 | no | — |
| 494 | #359 | — | 6 | 2 | no | — |
| 495 | #357 | — | 6 | 2 | no | — |
| 496 | #357 | — | 6 | 2 | no | — |
| 497 | #347 | — | 2 | 2 | no | — |
| 498 | #347 | — | 6 | 1 | no | — |
| 499 | #347 | — | 6 | 1 | no | — |
| 500 | #347 | — | 6 | 1 | no | — |
| 501 | #347 | — | 6 | 1 | no | — |
| 502 | #347 | — | 6 | 2 | no | — |
| 503 | #344 | — | 2 | 1 | no | — |
| 504 | #344 | — | 6 | 1 | no | — |
| 505 | #339 | — | 6 | 1 | no | — |
| 506 | #339 | — | 6 | 1 | no | — |
| 507 | #338 | — | 6 | 1 | no | — |
| 508 | H(3,ℤ/4) | — | 2 | 1 | no | — |
| 509 | H(3,ℤ/4) | — | 6 | 1 | no | — |
| 510 | H(3,ℤ/4) | — | 6 | 1 | no | — |
| 511 | C23×D3 | — | 4 | 1 | no | — |
| 512 | C2×C3×Q8 | — | 4 | 2 | no | — |
| 513 | C22×C3×C4 | — | 4 | 1 | no | — |
| 514 | C22×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 515 | C2×#67 | — | 4 | 1 | no | — |
| 516 | C2×#67 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 517 | C22×Dic3 | — | 2 | 1 | no | — |
| 518 | #239 | — | 16 | 4 | no | — |
| 519 | #235 | — | 2 | 1 | no | — |
| 520 | #235 | — | 2 | 1 | no | — |
| 521 | #235 | — | 2 | 1 | no | — |
| 522 | #235 | — | 2 | 1 | no | — |
| 523 | #235 | — | 4 | 1 | no | — |
| 524 | #235 | — | 4 | 1 | no | — |
| 525 | #235 | — | 4 | 1 | no | — |
| 526 | #235 | — | 4 | 1 | no | — |
| 527 | C2×D12 | — | 2 | 1 | no | — |
| 528 | C2×D12 | — | 2 | 2 | no | — |
| 529 | C2×D12 | — | 4 | 1 | no | — |
| 530 | C2×D12 | — | 4 | 1 | no | — |
| 531 | C2×D12 | — | 4 | 1 | no | — |
| 532 | C2×D12 | — | 4 | 1 | no | — |
| 533 | C2×D12 | — | 4 | 1 | no | — |
| 534 | C2×D12 | — | 4 | 2 | no | — |
| 535 | C2×D12 | — | 4 | 2 | no | — |
| 536 | C2×D12 | — | 4 | 2 | no | — |
| 537 | C2×D12 | — | 4 | 2 | no | — |
| 538 | C2×D12 | — | 4 | 2 | no | — |
| 539 | C2×D12 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 540 | C2×C4×D3 | — | 2 | 2 | no | — |
| 541 | C2×C4×D3 | — | 4 | 1 | no | — |
| 542 | C2×C4×D3 | — | 4 | 2 | no | — |
| 543 | C2×C4×D3 | — | 4 | 1 | no | — |
| 544 | C2×C4×D3 | — | 4 | 1 | no | — |
| 545 | C2×C4×D3 | — | 4 | 2 | no | — |
| 546 | C2×C4×D3 | — | 16 | 2 | no | — |
| 547 | C2×C4×D3 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 548 | C2×Dic6 | — | 2 | 1 | no | — |
| 549 | C2×Dic6 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 550 | C3×M16 | — | 2 | 1 | no | — |
| 551 | C3×M16 | — | 2 | 1 | no | — |
| 552 | C3×M16 | — | 4 | 1 | no | — |
| 553 | C3×M16 | — | 4 | 1 | no | — |
| 554 | C2×C3×C8 | — | 4 | 1 | no | — |
| 555 | C2×C3×C8 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 556 | C2×C3×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 557 | C2×C3×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 558 | C2×C3×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 559 | C2×C3×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 560 | C2×C3×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 561 | C2×C3×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 562 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 563 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 564 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 565 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 566 | C3×C4⋊C4 | — | 4 | 2 | no | — |
| 567 | C3×C4⋊C4 | — | 4 | 2 | no | — |
| 568 | C3×C4⋊C4 | — | 4 | 2 | no | — |
| 569 | C3×C4⋊C4 | — | 4 | 1 | no | — |
| 570 | C3×C4⋊C4 | — | 4 | 1 | no | — |
| 571 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 572 | C3×C22⋊C4 | — | 4 | 1 | no | — |
| 573 | C3×C22⋊C4 | — | 4 | 1 | no | — |
| 574 | C3×C42 | — | 4 | 1 | no | — |
| 575 | C3×C42 | — | 4 | 1 | no | — |
| 576 | C3×C42 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 577 | #217 | — | 4 | 1 | no | — |
| 578 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 579 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 580 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 581 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 582 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 583 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 584 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 585 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 586 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 587 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 588 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 589 | C4⋊Dic3 | — | 4 | 2 | no | — |
| 590 | C4⋊Dic3 | — | 4 | 1 | no | — |
| 591 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 592 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 593 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 594 | C4×Dic3 | — | 2 | 1 | no | — |
| 595 | C4×Dic3 | — | 2 | 2 | no | — |
| 596 | C4×Dic3 | — | 4 | 1 | no | — |
| 597 | C4×Dic3 | — | 4 | 1 | no | — |
| 598 | C4×Dic3 | — | 4 | 1 | no | — |
| 599 | C4×Dic3 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 600 | C4×Dic3 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 601 | #208 | — | 2 | 1 | no | — |
| 602 | #208 | — | 2 | 1 | no | — |
| 603 | #208 | — | 4 | 1 | no | — |
| 604 | #208 | — | 4 | 1 | no | — |
| 605 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 606 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 607 | C2×C3⋊C8 | — | 4 | 1 | no | — |
| 608 | C2×C3⋊C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 609 | C2×C3⋊C8 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 610 | C2×C3⋊C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 611 | Dic12 | — | 2 | 1 | no | — |
| 612 | Dic12 | — | 2 | 1 | no | — |
| 613 | D24 | — | 2 | 2 | no | — |
| 614 | D24 | — | 2 | 2 | no | — |
| 615 | D24 | — | 2 | 1 | no | — |
| 616 | D24 | — | 2 | 1 | no | — |
| 617 | D24 | — | 4 | 4 | no | — |
| 618 | D24 | — | 4 | 1 | no | — |
| 619 | D24 | — | 4 | 1 | no | — |
| 620 | #204 | — | 4 | 4 | no | — |
| 621 | #204 | — | 4 | 1 | no | — |
| 622 | #204 | — | 4 | 1 | no | — |
| 623 | ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 624 | ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 625 | ΓL(1,𝔽25) | — | 4 | 2 | no | — |
| 626 | D3×C8 | — | 2 | 2 | no | — |
| 627 | D3×C8 | — | 2 | 2 | no | — |
| 628 | D3×C8 | — | 4 | 2 | no | — |
| 629 | C3×C16 | — | 2 | 2 | no | — |
| 630 | C3×C16 | — | 2 | 2 | no | — |
| 631 | C3⋊C16 | — | 2 | 2 | no | — |
| 632 | C3⋊C16 | — | 2 | 2 | no | — |
| 633 | C2×#41 | — | 3 | 1 | no | — |
| 634 | C2×#41 | — | 6 | 1 | no | — |
| 635 | C2×#41 | — | 12 | 2 | no | — |
| 636 | C22×D4 | — | 6 | 1 | no | — |
| 637 | C23×C4 | — | 12 | 1 | no | — |
| 638 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 639 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 640 | #135 | — | 6 | 1 | no | — |
| 641 | #135 | — | 6 | 1 | no | — |
| 642 | #135 | — | 6 | 1 | no | — |
| 643 | #135 | — | 6 | 1 | no | — |
| 644 | C2×Q16 | — | 3 | 1 | no | — |
| 645 | C2×SD16 | — | 6 | 2 | no | — |
| 646 | C2×SD16 | — | 6 | 1 | no | — |
| 647 | C2×D8 | — | 3 | 2 | no | — |
| 648 | C2×D8 | — | 3 | 1 | no | — |
| 649 | C2×D8 | — | 6 | 2 | no | — |
| 650 | C2×D8 | — | 6 | 1 | no | — |
| 651 | C2×D8 | — | 6 | 1 | no | — |
| 652 | C2×D8 | — | 6 | 1 | no | — |
| 653 | C2×D8 | — | 6 | 1 | no | — |
| 654 | C2×D8 | — | 6 | 1 | no | — |
| 655 | #131 | — | 6 | 1 | no | — |
| 656 | #131 | — | 6 | 1 | no | — |
| 657 | #131 | — | 6 | 1 | no | — |
| 658 | #131 | — | 6 | 1 | no | — |
| 659 | #131 | — | 12 | 1 | no | — |
| 660 | #131 | — | 12 | 1 | no | — |
| 661 | C2×M16 | — | 2 | 1 | no | — |
| 662 | C2×M16 | — | 3 | 1 | no | — |
| 663 | C2×M16 | — | 3 | 2 | no | — |
| 664 | C2×M16 | — | 3 | 2 | no | — |
| 665 | C2×M16 | — | 6 | 1 | no | — |
| 666 | C2×M16 | D3×D4 | 1 | 1 | yes | characteristic |
| 667 | C22×C8 | — | 3 | 1 | no | — |
| 668 | C22×C8 | — | 3 | 2 | no | — |
| 669 | C22×C8 | — | 3 | 2 | no | — |
| 670 | C22×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 671 | C4⋊Q8 | — | 2 | 2 | no | — |
| 672 | C4⋊Q8 | — | 4 | 1 | no | — |
| 673 | #127 | — | 6 | 2 | no | — |
| 674 | #127 | — | 12 | 1 | no | — |
| 675 | #126 | — | 12 | 2 | no | — |
| 676 | #126 | — | 12 | 2 | no | — |
| 677 | #125 | — | 2 | 2 | no | — |
| 678 | #125 | — | 4 | 1 | no | — |
| 679 | #124 | — | 6 | 2 | no | — |
| 680 | #124 | — | 12 | 1 | no | — |
| 681 | #124 | — | 12 | 2 | no | — |
| 682 | #124 | — | 12 | 2 | no | — |
| 683 | #123 | — | 12 | 2 | no | — |
| 684 | #123 | — | 12 | 2 | no | — |
| 685 | #123 | — | 12 | 2 | no | — |
| 686 | #123 | — | 12 | 2 | no | — |
| 687 | C22⋊Q8 | — | 4 | 2 | no | — |
| 688 | C22⋊Q8 | — | 6 | 2 | no | — |
| 689 | C22⋊Q8 | — | 12 | 1 | no | — |
| 690 | C22⋊Q8 | — | 12 | 2 | no | — |
| 691 | #121 | — | 6 | 2 | no | — |
| 692 | #121 | — | 6 | 2 | no | — |
| 693 | #121 | — | 6 | 2 | no | — |
| 694 | #121 | — | 12 | 2 | no | — |
| 695 | #121 | — | 12 | 2 | no | — |
| 696 | #121 | — | 12 | 1 | no | — |
| 697 | #121 | — | 12 | 1 | no | — |
| 698 | #121 | — | 12 | 2 | no | — |
| 699 | #121 | — | 12 | 1 | no | — |
| 700 | #121 | — | 12 | 2 | no | — |
| 701 | #120 | — | 12 | 2 | no | — |
| 702 | #120 | — | 12 | 2 | no | — |
| 703 | C4×Q8 | — | 6 | 1 | no | — |
| 704 | C4×Q8 | — | 6 | 1 | no | — |
| 705 | C4×Q8 | — | 6 | 1 | no | — |
| 706 | C4×D4 | — | 6 | 2 | no | — |
| 707 | C4×D4 | — | 6 | 2 | no | — |
| 708 | C4×D4 | — | 6 | 1 | no | — |
| 709 | C4×D4 | — | 6 | 1 | no | — |
| 710 | C4×D4 | — | 6 | 2 | no | — |
| 711 | C4×D4 | — | 6 | 1 | no | — |
| 712 | C4×D4 | — | 12 | 1 | no | — |
| 713 | C4×D4 | — | 12 | 1 | no | — |
| 714 | C4×D4 | — | 12 | 2 | no | — |
| 715 | C4×D4 | — | 12 | 1 | no | — |
| 716 | C4×D4 | — | 12 | 1 | no | — |
| 717 | C4×D4 | — | 12 | 2 | no | — |
| 718 | #117 | — | 2 | 1 | no | — |
| 719 | #117 | — | 2 | 1 | no | — |
| 720 | #117 | — | 3 | 2 | no | — |
| 721 | #117 | — | 6 | 1 | no | — |
| 722 | #117 | — | 12 | 1 | no | — |
| 723 | #117 | — | 12 | 2 | no | — |
| 724 | #117 | D3×D4 | 1 | 1 | yes | characteristic |
| 725 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 726 | C2×C22⋊C4 | — | 12 | 1 | no | — |
| 727 | C2×C42 | — | 3 | 1 | no | — |
| 728 | C2×C42 | — | 3 | 2 | no | — |
| 729 | C2×C42 | — | 12 | 1 | no | — |
| 730 | M32 | — | 2 | 1 | no | — |
| 731 | M32 | — | 2 | 1 | no | — |
| 732 | M32 | — | 2 | 1 | no | — |
| 733 | M32 | — | 3 | 2 | no | — |
| 734 | M32 | — | 6 | 4 | no | — |
| 735 | M32 | — | 6 | 4 | no | — |
| 736 | M32 | — | 6 | 1 | no | — |
| 737 | M32 | — | 6 | 1 | no | — |
| 738 | M32 | — | 6 | 1 | no | — |
| 739 | M32 | #239 | 1 | 2 | yes | complemented |
| 740 | C2×C16 | — | 2 | 1 | no | — |
| 741 | C2×C16 | — | 3 | 2 | no | — |
| 742 | C2×C16 | — | 6 | 4 | no | — |
| 743 | C2×C16 | — | 6 | 4 | no | — |
| 744 | C2×C16 | — | 6 | 1 | no | — |
| 745 | C2×C16 | #239 | 1 | 2 | yes | complemented |
| 746 | #108 | — | 2 | 1 | no | — |
| 747 | #108 | — | 2 | 1 | no | — |
| 748 | #108 | — | 6 | 1 | no | — |
| 749 | #108 | — | 6 | 1 | no | — |
| 750 | #107 | — | 2 | 2 | no | — |
| 751 | #107 | — | 2 | 1 | no | — |
| 752 | #107 | — | 2 | 1 | no | — |
| 753 | #107 | — | 6 | 1 | no | — |
| 754 | #106 | — | 2 | 2 | no | — |
| 755 | #106 | — | 2 | 1 | no | — |
| 756 | #106 | — | 2 | 1 | no | — |
| 757 | #106 | — | 6 | 1 | no | — |
| 758 | #106 | C2×C4×D3 | 1 | 2 | yes | — |
| 759 | #106 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 760 | #106 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 761 | #103 | — | 6 | 1 | no | — |
| 762 | #103 | — | 6 | 1 | no | — |
| 763 | #103 | — | 6 | 2 | no | — |
| 764 | #102 | — | 6 | 2 | no | — |
| 765 | #102 | — | 6 | 2 | no | — |
| 766 | #102 | — | 6 | 1 | no | — |
| 767 | #102 | — | 6 | 1 | no | — |
| 768 | #102 | — | 6 | 2 | no | — |
| 769 | #102 | — | 6 | 2 | no | — |
| 770 | #102 | — | 6 | 2 | no | — |
| 771 | #101 | — | 12 | 1 | no | — |
| 772 | #100 | — | 12 | 1 | no | — |
| 773 | #99 | — | 12 | 2 | no | — |
| 774 | #97 | — | 3 | 2 | no | — |
| 775 | #97 | — | 3 | 1 | no | — |
| 776 | #97 | — | 3 | 1 | no | — |
| 777 | #97 | — | 3 | 1 | no | — |
| 778 | #97 | — | 3 | 1 | no | — |
| 779 | #97 | — | 3 | 2 | no | — |
| 780 | #97 | — | 12 | 1 | no | — |
| 781 | #97 | — | 12 | 1 | no | — |
| 782 | #97 | D3×D4 | 1 | 2 | yes | — |
| 783 | C4×C8 | — | 3 | 2 | no | — |
| 784 | C4×C8 | — | 3 | 2 | no | — |
| 785 | C4×C8 | — | 12 | 1 | no | — |
| 786 | C4×C8 | — | 12 | 1 | no | — |
| 787 | C4×C8 | C2×C4×D3 | 1 | 2 | yes | — |
| 788 | C23×C3 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 789 | C22×D3 | — | 4 | 2 | no | — |
| 790 | C22×D3 | — | 4 | 1 | no | — |
| 791 | C22×D3 | — | 8 | 1 | no | — |
| 792 | C22×D3 | — | 8 | 1 | no | — |
| 793 | C22×D3 | — | 16 | 1 | no | — |
| 794 | C22×D3 | — | 16 | 1 | no | — |
| 795 | C22×D3 | #418 | 1 | 2 | yes | — |
| 796 | C3×Q8 | — | 16 | 2 | no | — |
| 797 | C2×C3×C4 | — | 2 | 2 | no | — |
| 798 | C2×C3×C4 | — | 4 | 1 | no | — |
| 799 | C2×C3×C4 | — | 4 | 1 | no | — |
| 800 | C2×C3×C4 | — | 4 | 2 | no | — |
| 801 | C2×C3×C4 | — | 8 | 1 | no | — |
| 802 | C2×C3×C4 | — | 16 | 1 | no | — |
| 803 | C2×C3×C4 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 804 | C2×C3×C4 | #532 | 1 | 1 | yes | characteristic |
| 805 | C2×C3×C4 | #532 | 1 | 1 | yes | characteristic |
| 806 | C2×C3×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 807 | C2×C3×C4 | #575 | 1 | 1 | yes | characteristic |
| 808 | C2×C3×C4 | #575 | 1 | 1 | yes | characteristic |
| 809 | #67 | — | 2 | 2 | no | — |
| 810 | #67 | — | 2 | 2 | no | — |
| 811 | #67 | — | 8 | 1 | no | — |
| 812 | #67 | — | 8 | 1 | no | — |
| 813 | C2×Dic3 | — | 2 | 1 | no | — |
| 814 | C2×Dic3 | — | 2 | 1 | no | — |
| 815 | C2×Dic3 | — | 4 | 1 | no | — |
| 816 | C2×Dic3 | — | 8 | 1 | no | — |
| 817 | C2×Dic3 | — | 8 | 1 | no | — |
| 818 | C2×Dic3 | #418 | 1 | 2 | yes | — |
| 819 | D12 | — | 2 | 1 | no | — |
| 820 | D12 | — | 2 | 1 | no | — |
| 821 | D12 | — | 4 | 2 | no | — |
| 822 | D12 | — | 4 | 1 | no | — |
| 823 | D12 | — | 4 | 1 | no | — |
| 824 | D12 | — | 4 | 2 | no | — |
| 825 | D12 | — | 8 | 1 | no | — |
| 826 | D12 | — | 8 | 1 | no | — |
| 827 | D12 | — | 16 | 2 | no | — |
| 828 | D12 | — | 16 | 2 | no | — |
| 829 | D12 | — | 16 | 2 | no | — |
| 830 | D12 | — | 16 | 2 | no | — |
| 831 | D12 | — | 16 | 2 | no | — |
| 832 | C4×D3 | — | 2 | 2 | no | — |
| 833 | C4×D3 | — | 2 | 2 | no | — |
| 834 | C4×D3 | — | 8 | 2 | no | — |
| 835 | C4×D3 | — | 8 | 4 | no | — |
| 836 | C4×D3 | — | 8 | 2 | no | — |
| 837 | C4×D3 | — | 8 | 1 | no | — |
| 838 | C4×D3 | — | 8 | 1 | no | — |
| 839 | C4×D3 | — | 16 | 1 | no | — |
| 840 | C4×D3 | — | 16 | 2 | no | — |
| 841 | Dic6 | — | 2 | 1 | no | — |
| 842 | Dic6 | — | 2 | 1 | no | — |
| 843 | Dic6 | — | 4 | 1 | no | — |
| 844 | Dic6 | — | 4 | 1 | no | — |
| 845 | C3×C8 | — | 2 | 2 | no | — |
| 846 | C3×C8 | — | 8 | 1 | no | — |
| 847 | C3×C8 | C4×#41 | 1 | 1 | yes | characteristic |
| 848 | C3×C8 | C4×#41 | 1 | 1 | yes | characteristic |
| 849 | C3×C8 | #525 | 1 | 1 | yes | characteristic |
| 850 | C3×C8 | #525 | 1 | 1 | yes | characteristic |
| 851 | C3⋊C8 | — | 2 | 1 | no | — |
| 852 | C3⋊C8 | — | 2 | 1 | no | — |
| 853 | C3⋊C8 | — | 2 | 2 | no | — |
| 854 | C3⋊C8 | — | 8 | 1 | no | — |
| 855 | C24 | — | 12 | 1 | no | — |
| 856 | #41 | — | 6 | 1 | no | — |
| 857 | #41 | — | 6 | 1 | no | — |
| 858 | #41 | — | 6 | 1 | no | — |
| 859 | #41 | — | 6 | 1 | no | — |
| 860 | #41 | — | 12 | 1 | no | — |
| 861 | #41 | — | 12 | 1 | no | — |
| 862 | #41 | — | 12 | 1 | no | — |
| 863 | #41 | — | 12 | 1 | no | — |
| 864 | #41 | — | 48 | 4 | no | — |
| 865 | C2×Q8 | — | 3 | 1 | no | — |
| 866 | C2×Q8 | — | 4 | 2 | no | — |
| 867 | C2×Q8 | — | 6 | 1 | no | — |
| 868 | C2×D4 | — | 3 | 2 | no | — |
| 869 | C2×D4 | — | 3 | 1 | no | — |
| 870 | C2×D4 | — | 6 | 2 | no | — |
| 871 | C2×D4 | — | 6 | 1 | no | — |
| 872 | C2×D4 | — | 12 | 2 | no | — |
| 873 | C2×D4 | — | 12 | 2 | no | — |
| 874 | C2×D4 | — | 12 | 2 | no | — |
| 875 | C2×D4 | — | 12 | 2 | no | — |
| 876 | C2×D4 | — | 12 | 2 | no | — |
| 877 | C2×D4 | — | 12 | 1 | no | — |
| 878 | C2×D4 | — | 12 | 1 | no | — |
| 879 | C2×D4 | — | 12 | 1 | no | — |
| 880 | C2×D4 | — | 12 | 1 | no | — |
| 881 | C2×D4 | — | 12 | 1 | no | — |
| 882 | C2×D4 | — | 12 | 1 | no | — |
| 883 | C22×C4 | — | 3 | 2 | no | — |
| 884 | C22×C4 | — | 4 | 1 | no | — |
| 885 | C22×C4 | — | 6 | 2 | no | — |
| 886 | C22×C4 | — | 6 | 1 | no | — |
| 887 | C22×C4 | — | 12 | 1 | no | — |
| 888 | C22×C4 | — | 12 | 2 | no | — |
| 889 | C22×C4 | — | 12 | 1 | no | — |
| 890 | C22×C4 | — | 12 | 2 | no | — |
| 891 | C22×C4 | — | 12 | 1 | no | — |
| 892 | C22×C4 | — | 48 | 2 | no | — |
| 893 | C22×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 894 | Q16 | — | 6 | 1 | no | — |
| 895 | Q16 | — | 6 | 1 | no | — |
| 896 | SD16 | — | 12 | 4 | no | — |
| 897 | SD16 | — | 12 | 1 | no | — |
| 898 | SD16 | — | 12 | 1 | no | — |
| 899 | D8 | — | 6 | 2 | no | — |
| 900 | D8 | — | 6 | 2 | no | — |
| 901 | D8 | — | 6 | 1 | no | — |
| 902 | D8 | — | 6 | 1 | no | — |
| 903 | D8 | — | 12 | 4 | no | — |
| 904 | D8 | — | 12 | 1 | no | — |
| 905 | D8 | — | 12 | 1 | no | — |
| 906 | M16 | — | 2 | 1 | no | — |
| 907 | M16 | — | 2 | 1 | no | — |
| 908 | M16 | — | 4 | 1 | no | — |
| 909 | M16 | — | 4 | 1 | no | — |
| 910 | M16 | — | 6 | 1 | no | — |
| 911 | M16 | — | 6 | 1 | no | — |
| 912 | M16 | — | 6 | 2 | no | — |
| 913 | M16 | — | 6 | 2 | no | — |
| 914 | M16 | — | 12 | 2 | no | — |
| 915 | M16 | — | 12 | 1 | no | — |
| 916 | M16 | — | 12 | 1 | no | — |
| 917 | C2×C8 | — | 3 | 1 | no | — |
| 918 | C2×C8 | — | 3 | 2 | no | — |
| 919 | C2×C8 | — | 3 | 1 | no | — |
| 920 | C2×C8 | — | 4 | 1 | no | — |
| 921 | C2×C8 | — | 6 | 1 | no | — |
| 922 | C2×C8 | — | 6 | 1 | no | — |
| 923 | C2×C8 | — | 6 | 2 | no | — |
| 924 | C2×C8 | — | 6 | 2 | no | — |
| 925 | C2×C8 | — | 12 | 2 | no | — |
| 926 | C2×C8 | — | 12 | 1 | no | — |
| 927 | C2×C8 | D3×C22⋊C4 | 1 | 2 | yes | — |
| 928 | C2×C8 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 929 | C2×C8 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 930 | C2×C8 | C2×#239 | 1 | 1 | yes | characteristic |
| 931 | C2×C8 | C2×#239 | 1 | 1 | yes | characteristic |
| 932 | C2×C8 | D3×#41 | 1 | 1 | yes | characteristic |
| 933 | C2×C8 | D3×#41 | 1 | 1 | yes | characteristic |
| 934 | C4⋊C4 | — | 2 | 1 | no | — |
| 935 | C4⋊C4 | — | 2 | 2 | no | — |
| 936 | C4⋊C4 | — | 2 | 1 | no | — |
| 937 | C4⋊C4 | — | 2 | 1 | no | — |
| 938 | C4⋊C4 | — | 4 | 2 | no | — |
| 939 | C4⋊C4 | — | 4 | 2 | no | — |
| 940 | C4⋊C4 | — | 4 | 2 | no | — |
| 941 | C4⋊C4 | — | 4 | 1 | no | — |
| 942 | C4⋊C4 | — | 4 | 1 | no | — |
| 943 | C4⋊C4 | — | 6 | 2 | no | — |
| 944 | C4⋊C4 | — | 12 | 2 | no | — |
| 945 | C4⋊C4 | — | 12 | 1 | no | — |
| 946 | C4⋊C4 | — | 12 | 1 | no | — |
| 947 | C4⋊C4 | — | 12 | 1 | no | — |
| 948 | C22⋊C4 | — | 2 | 1 | no | — |
| 949 | C22⋊C4 | — | 4 | 1 | no | — |
| 950 | C22⋊C4 | — | 4 | 1 | no | — |
| 951 | C22⋊C4 | — | 6 | 2 | no | — |
| 952 | C22⋊C4 | — | 12 | 2 | no | — |
| 953 | C22⋊C4 | — | 12 | 2 | no | — |
| 954 | C22⋊C4 | — | 12 | 2 | no | — |
| 955 | C22⋊C4 | — | 12 | 2 | no | — |
| 956 | C22⋊C4 | — | 12 | 2 | no | — |
| 957 | C22⋊C4 | — | 12 | 2 | no | — |
| 958 | C22⋊C4 | — | 12 | 2 | no | — |
| 959 | C22⋊C4 | — | 12 | 1 | no | — |
| 960 | C22⋊C4 | — | 12 | 1 | no | — |
| 961 | C22⋊C4 | — | 12 | 2 | no | — |
| 962 | C22⋊C4 | — | 12 | 1 | no | — |
| 963 | C42 | — | 3 | 1 | no | — |
| 964 | C42 | — | 3 | 1 | no | — |
| 965 | C42 | — | 4 | 1 | no | — |
| 966 | C42 | — | 4 | 1 | no | — |
| 967 | C42 | — | 6 | 2 | no | — |
| 968 | C42 | — | 6 | 1 | no | — |
| 969 | C42 | — | 12 | 1 | no | — |
| 970 | C42 | — | 12 | 1 | no | — |
| 971 | C42 | — | 12 | 1 | no | — |
| 972 | C42 | D3×C22⋊C4 | 1 | 2 | yes | — |
| 973 | C16 | — | 2 | 2 | no | — |
| 974 | C16 | — | 2 | 2 | no | — |
| 975 | C16 | — | 6 | 2 | no | — |
| 976 | C16 | — | 6 | 2 | no | — |
| 977 | C22×C3 | — | 4 | 1 | no | — |
| 978 | C22×C3 | C2×#418 | 1 | 1 | yes | characteristic |
| 979 | C22×C3 | #3180 | 1 | 1 | yes | characteristic |
| 980 | C22×C3 | #3180 | 1 | 1 | yes | characteristic |
| 981 | C2×D3 | — | 2 | 2 | no | — |
| 982 | C2×D3 | — | 4 | 2 | no | — |
| 983 | C2×D3 | — | 8 | 2 | no | — |
| 984 | C2×D3 | — | 8 | 1 | no | — |
| 985 | C2×D3 | — | 8 | 1 | no | — |
| 986 | C2×D3 | — | 8 | 2 | no | — |
| 987 | C2×D3 | — | 8 | 1 | no | — |
| 988 | C2×D3 | — | 8 | 2 | no | — |
| 989 | C2×D3 | — | 16 | 2 | no | — |
| 990 | C2×D3 | — | 16 | 2 | no | — |
| 991 | C3×C4 | — | 4 | 2 | no | — |
| 992 | C3×C4 | — | 8 | 2 | no | — |
| 993 | C3×C4 | — | 8 | 1 | no | — |
| 994 | C3×C4 | — | 8 | 1 | no | — |
| 995 | C3×C4 | — | 16 | 1 | no | — |
| 996 | C3×C4 | #2297 | 1 | 1 | yes | characteristic |
| 997 | C3×C4 | #2896 | 1 | 1 | yes | characteristic |
| 998 | C3×C4 | #3180 | 1 | 1 | yes | characteristic |
| 999 | C3×C4 | #3180 | 1 | 1 | yes | characteristic |
| 1000 | Dic3 | — | 2 | 2 | no | — |
| 1001 | Dic3 | — | 4 | 1 | no | — |
| 1002 | Dic3 | — | 4 | 1 | no | — |
| 1003 | Dic3 | — | 8 | 1 | no | — |
| 1004 | Dic3 | — | 16 | 1 | no | — |
| 1005 | C23 | — | 3 | 2 | no | — |
| 1006 | C23 | — | 12 | 2 | no | — |
| 1007 | C23 | — | 12 | 1 | no | — |
| 1008 | C23 | — | 24 | 1 | no | — |
| 1009 | C23 | — | 24 | 1 | no | — |
| 1010 | C23 | — | 48 | 1 | no | — |
| 1011 | C23 | — | 48 | 1 | no | — |
| 1012 | C23 | D3×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1013 | Q8 | — | 6 | 1 | no | — |
| 1014 | Q8 | — | 6 | 1 | no | — |
| 1015 | Q8 | — | 12 | 1 | no | — |
| 1016 | Q8 | — | 12 | 1 | no | — |
| 1017 | Q8 | — | 16 | 2 | no | — |
| 1018 | D4 | — | 6 | 2 | no | — |
| 1019 | D4 | — | 6 | 2 | no | — |
| 1020 | D4 | — | 6 | 1 | no | — |
| 1021 | D4 | — | 6 | 1 | no | — |
| 1022 | D4 | — | 12 | 1 | no | — |
| 1023 | D4 | — | 12 | 2 | no | — |
| 1024 | D4 | — | 12 | 2 | no | — |
| 1025 | D4 | — | 12 | 1 | no | — |
| 1026 | D4 | — | 24 | 1 | no | — |
| 1027 | D4 | — | 24 | 1 | no | — |
| 1028 | D4 | — | 24 | 1 | no | — |
| 1029 | D4 | — | 24 | 1 | no | — |
| 1030 | D4 | — | 48 | 2 | no | — |
| 1031 | D4 | — | 48 | 2 | no | — |
| 1032 | D4 | — | 48 | 2 | no | — |
| 1033 | D4 | — | 48 | 2 | no | — |
| 1034 | D4 | — | 48 | 2 | no | — |
| 1035 | C2×C4 | — | 2 | 2 | no | — |
| 1036 | C2×C4 | — | 3 | 2 | no | — |
| 1037 | C2×C4 | — | 4 | 1 | no | — |
| 1038 | C2×C4 | — | 4 | 1 | no | — |
| 1039 | C2×C4 | — | 4 | 2 | no | — |
| 1040 | C2×C4 | — | 6 | 2 | no | — |
| 1041 | C2×C4 | — | 6 | 2 | no | — |
| 1042 | C2×C4 | — | 6 | 1 | no | — |
| 1043 | C2×C4 | — | 6 | 1 | no | — |
| 1044 | C2×C4 | — | 8 | 1 | no | — |
| 1045 | C2×C4 | — | 12 | 1 | no | — |
| 1046 | C2×C4 | — | 16 | 1 | no | — |
| 1047 | C2×C4 | — | 24 | 2 | no | — |
| 1048 | C2×C4 | — | 24 | 4 | no | — |
| 1049 | C2×C4 | — | 24 | 2 | no | — |
| 1050 | C2×C4 | — | 24 | 1 | no | — |
| 1051 | C2×C4 | — | 24 | 1 | no | — |
| 1052 | C2×C4 | — | 24 | 1 | no | — |
| 1053 | C2×C4 | — | 24 | 1 | no | — |
| 1054 | C2×C4 | — | 48 | 2 | no | — |
| 1055 | C2×C4 | — | 48 | 1 | no | — |
| 1056 | C2×C4 | C2×D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 1057 | C2×C4 | #5668 | 1 | 1 | yes | characteristic |
| 1058 | C2×C4 | #5725 | 1 | 1 | yes | characteristic |
| 1059 | C2×C4 | D3×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1060 | C2×C4 | #5777 | 1 | 1 | yes | characteristic |
| 1061 | C2×C4 | #5777 | 1 | 1 | yes | characteristic |
| 1062 | C8 | — | 2 | 2 | no | — |
| 1063 | C8 | — | 6 | 1 | no | — |
| 1064 | C8 | — | 6 | 1 | no | — |
| 1065 | C8 | — | 6 | 2 | no | — |
| 1066 | C8 | — | 8 | 1 | no | — |
| 1067 | C8 | — | 24 | 1 | no | — |
| 1068 | C8 | C4×#239 | 1 | 1 | yes | characteristic |
| 1069 | C8 | C4×#239 | 1 | 1 | yes | characteristic |
| 1070 | C8 | #5627 | 1 | 1 | yes | characteristic |
| 1071 | C8 | #5627 | 1 | 1 | yes | characteristic |
| 1072 | C2×C3 | — | 2 | 1 | no | — |
| 1073 | C2×C3 | — | 2 | 1 | no | — |
| 1074 | C2×C3 | — | 2 | 1 | no | — |
| 1075 | C2×C3 | #21408 | 1 | 1 | yes | characteristic |
| 1076 | D3 | — | 4 | 2 | no | — |
| 1077 | D3 | — | 16 | 1 | no | — |
| 1078 | D3 | — | 16 | 2 | no | — |
| 1079 | C22 | — | 4 | 1 | no | — |
| 1080 | C22 | — | 6 | 2 | no | — |
| 1081 | C22 | — | 12 | 2 | no | — |
| 1082 | C22 | — | 24 | 2 | no | — |
| 1083 | C22 | — | 24 | 1 | no | — |
| 1084 | C22 | — | 24 | 1 | no | — |
| 1085 | C22 | — | 24 | 2 | no | — |
| 1086 | C22 | — | 24 | 1 | no | — |
| 1087 | C22 | — | 24 | 2 | no | — |
| 1088 | C22 | — | 48 | 2 | no | — |
| 1089 | C22 | — | 48 | 2 | no | — |
| 1090 | C22 | D3×#418 | 1 | 1 | yes | characteristic |
| 1091 | C22 | #81668 | 1 | 1 | yes | characteristic |
| 1092 | C22 | #81962 | 1 | 1 | yes | characteristic |
| 1093 | C4 | — | 4 | 2 | no | — |
| 1094 | C4 | — | 6 | 2 | no | — |
| 1095 | C4 | — | 8 | 2 | no | — |
| 1096 | C4 | — | 8 | 1 | no | — |
| 1097 | C4 | — | 8 | 1 | no | — |
| 1098 | C4 | — | 12 | 1 | no | — |
| 1099 | C4 | — | 12 | 1 | no | — |
| 1100 | C4 | — | 16 | 1 | no | — |
| 1101 | C4 | — | 24 | 1 | no | — |
| 1102 | C4 | — | 48 | 1 | no | — |
| 1103 | C4 | #76478 | 1 | 1 | yes | characteristic |
| 1104 | C4 | #78956 | 1 | 1 | yes | characteristic |
| 1105 | C4 | #81668 | 1 | 1 | yes | characteristic |
| 1106 | C4 | #81962 | 1 | 1 | yes | characteristic |
| 1107 | C3 | #495573 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1108 | C2 | — | 2 | 1 | no | — |
| 1109 | C2 | — | 2 | 1 | no | — |
| 1110 | C2 | — | 2 | 1 | no | — |
| 1111 | C2 | — | 12 | 2 | no | — |
| 1112 | C2 | — | 48 | 2 | no | — |
| 1113 | C2 | — | 48 | 1 | no | — |
| 1114 | C2 | #10800423 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #10947848 | C2 | semidirect |
| 3. #10795557 | C2 | semidirect |
| 4. #10713827 | C2 | semidirect |
| 5. #10713457 | C2 | semidirect |
| 6. #10713455 | C2 | semidirect |
| 7. #10712660 | C2 | semidirect |
| 8. #10712650 | C2 | semidirect |
| 9. #10712645 | C2 | semidirect |
| 10. #10712635 | C2 | semidirect |
| 11. #10710472 | C2 | semidirect |
| 12. #10710470 | C2 | semidirect |
| 13. #10710458 | C2 | semidirect |
| 14. #10710456 | C2 | semidirect |
| 15. C3×#13291 | C2 | semidirect |
| 24. #81911 | C4 | semidirect |
| 25. #81909 | C4 | semidirect |
| 26. #81888 | C4 | semidirect |
| 27. #81887 | C4 | semidirect |
| 72. #13291 | D3 | semidirect |
| 345. C3×M32 | #41 | semidirect |
| 347. C2×C3×C16 | #41 | semidirect |
| 378. #812 | #41 | semidirect |
| 380. C2×C3⋊C16 | #41 | semidirect |
| 739. M32 | #239 | semidirect |
| 745. C2×C16 | #239 | semidirect |
| 1107. C3 | #495573 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11665268 | 2 |
| #10947848 | 2 |
| #10795557 | 2 |
| #10713827 | 2 |
| #10713457 | 2 |
| #10713455 | 2 |
| #10712660 | 2 |
| #10712650 | 2 |
| #10712645 | 2 |
| #10712635 | 2 |
| #10710472 | 2 |
| #10710470 | 2 |
| #10710458 | 2 |
| #10710456 | 2 |
| C3×#13291 | 2 |
| #495573 | 3 |