Finite Group DatabasebetaFinite Group DatabasebetaOrder 1536.
1426 conjugacy classes of subgroups.
The subgroup lattice has 1038 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11675927 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10949938 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10948664 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #10896457 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10714851 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10714846 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10714311 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10714306 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10713825 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10712418 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | #10712390 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #10711929 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10711908 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10711304 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C3×#13269 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #500940 | — | 3 | 1 | no | maximal, Sylow |
| 17 | #86280 | — | 2 | 1 | no | — |
| 18 | C3×#2961 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#4908 | C22 | 1 | 1 | yes | characteristic |
| 20 | #79979 | — | 2 | 2 | no | — |
| 21 | #79979 | — | 2 | 2 | no | — |
| 22 | #79975 | — | 2 | 2 | no | — |
| 23 | #79975 | — | 2 | 2 | no | — |
| 24 | #79090 | — | 2 | 1 | no | — |
| 25 | #79090 | — | 2 | 1 | no | — |
| 26 | #79059 | — | 2 | 1 | no | — |
| 27 | #78580 | C22 | 1 | 1 | yes | characteristic |
| 28 | #78561 | C22 | 1 | 1 | yes | characteristic |
| 29 | #78561 | C22 | 1 | 1 | yes | characteristic |
| 30 | #78545 | C22 | 1 | 1 | yes | characteristic |
| 31 | #78545 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×#4711 | C22 | 1 | 1 | yes | characteristic |
| 33 | #78479 | C22 | 1 | 1 | yes | characteristic |
| 34 | C3×#2153 | C22 | 1 | 1 | yes | characteristic |
| 35 | C3×#2110 | C22 | 1 | 1 | yes | characteristic |
| 36 | #71842 | — | 2 | 1 | no | — |
| 37 | #71450 | C22 | 1 | 1 | yes | characteristic |
| 38 | #71450 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×#4518 | C22 | 1 | 1 | yes | characteristic |
| 40 | C2×#4516 | C22 | 1 | 1 | yes | characteristic |
| 41 | C2×#4516 | C22 | 1 | 1 | yes | characteristic |
| 42 | #71440 | C22 | 1 | 1 | yes | characteristic |
| 43 | #71427 | C22 | 1 | 1 | yes | characteristic |
| 44 | #71427 | C22 | 1 | 1 | yes | characteristic |
| 45 | C2×#4513 | C22 | 1 | 1 | yes | characteristic |
| 46 | #70549 | — | 2 | 1 | no | — |
| 47 | #70546 | — | 2 | 1 | no | — |
| 48 | #70530 | — | 2 | 1 | no | — |
| 49 | #69901 | C22 | 1 | 1 | yes | characteristic |
| 50 | #69897 | C22 | 1 | 1 | yes | characteristic |
| 51 | #69896 | C22 | 1 | 1 | yes | characteristic |
| 52 | #69845 | C22 | 1 | 1 | yes | characteristic |
| 53 | #69844 | C22 | 1 | 1 | yes | characteristic |
| 54 | #69308 | — | 2 | 2 | no | — |
| 55 | #69307 | — | 2 | 2 | no | — |
| 56 | #69091 | — | 2 | 2 | no | — |
| 57 | #69091 | — | 2 | 2 | no | — |
| 58 | C3×#1378 | C22 | 1 | 1 | yes | characteristic |
| 59 | C3×#1378 | C22 | 1 | 1 | yes | characteristic |
| 60 | C3×#1375 | C22 | 1 | 1 | yes | characteristic |
| 61 | C3×#1375 | C22 | 1 | 1 | yes | characteristic |
| 62 | #67822 | C22 | 1 | 1 | yes | characteristic |
| 63 | #67822 | C22 | 1 | 1 | yes | characteristic |
| 64 | #67819 | C22 | 1 | 1 | yes | characteristic |
| 65 | #67818 | C22 | 1 | 1 | yes | characteristic |
| 66 | #67818 | C22 | 1 | 1 | yes | characteristic |
| 67 | #67816 | C22 | 1 | 1 | yes | characteristic |
| 68 | #61378 | — | 3 | 1 | no | — |
| 69 | #33638 | — | 3 | 1 | no | — |
| 70 | #33471 | — | 3 | 1 | no | — |
| 71 | #29271 | — | 3 | 1 | no | — |
| 72 | #13460 | — | 3 | 1 | no | — |
| 73 | #13459 | — | 3 | 1 | no | — |
| 74 | #13374 | — | 3 | 1 | no | — |
| 75 | #13373 | — | 3 | 1 | no | — |
| 76 | #13291 | — | 3 | 1 | no | — |
| 77 | #13269 | D3 | 1 | 1 | yes | characteristic, complemented |
| 78 | #13037 | — | 3 | 1 | no | — |
| 79 | #13033 | — | 3 | 1 | no | — |
| 80 | #12956 | — | 3 | 1 | no | — |
| 81 | #12953 | — | 3 | 1 | no | — |
| 82 | #12826 | — | 3 | 1 | no | — |
| 83 | C3×#533 | D4 | 1 | 1 | yes | characteristic |
| 84 | #5745 | — | 2 | 1 | no | — |
| 85 | C2×#904 | C23 | 1 | 1 | yes | characteristic |
| 86 | C22×D24 | C23 | 1 | 1 | yes | characteristic |
| 87 | #5730 | — | 4 | 1 | no | — |
| 88 | #5727 | — | 4 | 1 | no | — |
| 89 | #5690 | — | 4 | 1 | no | — |
| 90 | #5690 | — | 4 | 1 | no | — |
| 91 | #5634 | — | 4 | 2 | no | — |
| 92 | D3×C22⋊Q8 | — | 4 | 2 | no | — |
| 93 | #5579 | — | 2 | 2 | no | — |
| 94 | #5579 | — | 2 | 2 | no | — |
| 95 | #5579 | — | 2 | 2 | no | — |
| 96 | Q8×D12 | — | 2 | 2 | no | — |
| 97 | #5521 | — | 2 | 1 | no | — |
| 98 | #5521 | — | 2 | 1 | no | — |
| 99 | #5519 | — | 2 | 1 | no | — |
| 100 | #5519 | — | 2 | 1 | no | — |
| 101 | C2×C4×D12 | — | 2 | 1 | no | — |
| 102 | #5470 | — | 2 | 1 | no | — |
| 103 | C2×C3×M32 | C23 | 1 | 1 | yes | characteristic |
| 104 | C2×C3×M32 | C23 | 1 | 1 | yes | characteristic |
| 105 | C2×C3×M32 | C23 | 1 | 1 | yes | characteristic |
| 106 | C2×C3×M32 | C23 | 1 | 1 | yes | characteristic |
| 107 | C3×#446 | — | 2 | 2 | no | — |
| 108 | C3×#446 | — | 2 | 2 | no | — |
| 109 | C3×#424 | D4 | 1 | 1 | yes | characteristic |
| 110 | C3×#424 | D4 | 1 | 1 | yes | characteristic |
| 111 | C3×#423 | D4 | 1 | 1 | yes | characteristic |
| 112 | C3×#405 | C23 | 1 | 1 | yes | characteristic |
| 113 | C3×#405 | C23 | 1 | 1 | yes | characteristic |
| 114 | C2×C3×#97 | C23 | 1 | 1 | yes | characteristic |
| 115 | #5139 | — | 2 | 1 | no | — |
| 116 | #5131 | — | 2 | 1 | no | — |
| 117 | #5131 | — | 2 | 1 | no | — |
| 118 | #5124 | — | 2 | 1 | no | — |
| 119 | #5121 | — | 2 | 1 | no | — |
| 120 | #5121 | — | 2 | 1 | no | — |
| 121 | C2×#821 | — | 2 | 1 | no | — |
| 122 | #5110 | — | 2 | 1 | no | — |
| 123 | C2×#819 | C23 | 1 | 1 | yes | characteristic |
| 124 | C2×#819 | C23 | 1 | 1 | yes | characteristic |
| 125 | #5106 | — | 2 | 1 | no | — |
| 126 | #5106 | C23 | 1 | 1 | yes | characteristic |
| 127 | #5106 | C23 | 1 | 1 | yes | characteristic |
| 128 | #5106 | C23 | 1 | 1 | yes | characteristic |
| 129 | C2×#817 | C23 | 1 | 1 | yes | characteristic |
| 130 | #5102 | — | 2 | 1 | no | — |
| 131 | #5006 | — | 2 | 1 | no | — |
| 132 | #5005 | — | 2 | 1 | no | — |
| 133 | C2×#805 | — | 2 | 1 | no | — |
| 134 | #4908 | — | 2 | 2 | no | — |
| 135 | #4908 | — | 2 | 2 | no | — |
| 136 | C2×#800 | Q8 | 1 | 2 | yes | complemented |
| 137 | C2×D48 | Q8 | 1 | 2 | yes | complemented |
| 138 | #4847 | — | 2 | 2 | no | — |
| 139 | #4847 | — | 2 | 2 | no | — |
| 140 | #4847 | — | 2 | 2 | no | — |
| 141 | #4847 | — | 2 | 2 | no | — |
| 142 | #4847 | — | 2 | 2 | no | — |
| 143 | #4847 | — | 2 | 2 | no | — |
| 144 | #4846 | — | 2 | 2 | no | — |
| 145 | #4846 | — | 2 | 2 | no | — |
| 146 | #4846 | — | 2 | 2 | no | — |
| 147 | #4842 | — | 2 | 2 | no | — |
| 148 | #4842 | — | 2 | 2 | no | — |
| 149 | #4842 | — | 2 | 2 | no | — |
| 150 | #4717 | — | 2 | 2 | no | — |
| 151 | #4711 | — | 2 | 2 | no | — |
| 152 | #4711 | — | 2 | 1 | no | — |
| 153 | #4711 | — | 2 | 2 | no | — |
| 154 | #4711 | — | 2 | 1 | no | — |
| 155 | #4711 | D4 | 1 | 2 | yes | — |
| 156 | #4711 | D4 | 1 | 2 | yes | — |
| 157 | #4702 | — | 2 | 2 | no | — |
| 158 | #4702 | — | 2 | 1 | no | — |
| 159 | #4702 | — | 2 | 1 | no | — |
| 160 | #4702 | — | 2 | 2 | no | — |
| 161 | #4702 | — | 2 | 1 | no | — |
| 162 | #4702 | — | 2 | 1 | no | — |
| 163 | #4700 | — | 2 | 2 | no | — |
| 164 | C4×D24 | — | 2 | 2 | no | — |
| 165 | C4×D24 | — | 2 | 2 | no | — |
| 166 | #4683 | — | 2 | 1 | no | — |
| 167 | #4683 | D4 | 1 | 2 | yes | — |
| 168 | #4680 | — | 2 | 1 | no | — |
| 169 | #4680 | D4 | 1 | 2 | yes | — |
| 170 | C3×#364 | — | 2 | 2 | no | — |
| 171 | C3×#347 | — | 2 | 2 | no | — |
| 172 | #4556 | — | 2 | 1 | no | — |
| 173 | #4533 | — | 2 | 1 | no | — |
| 174 | #4531 | — | 2 | 1 | no | — |
| 175 | #4523 | — | 2 | 1 | no | — |
| 176 | #4518 | — | 2 | 2 | no | — |
| 177 | #4518 | — | 2 | 1 | no | — |
| 178 | #4518 | — | 2 | 1 | no | — |
| 179 | #4518 | — | 2 | 1 | no | — |
| 180 | #4518 | — | 2 | 1 | no | — |
| 181 | #4516 | — | 2 | 2 | no | — |
| 182 | #4516 | — | 2 | 2 | no | — |
| 183 | #4513 | — | 2 | 2 | no | — |
| 184 | #4513 | — | 2 | 1 | no | — |
| 185 | #4513 | — | 2 | 1 | no | — |
| 186 | #4513 | — | 2 | 1 | no | — |
| 187 | #4513 | — | 2 | 1 | no | — |
| 188 | #4509 | — | 2 | 2 | no | — |
| 189 | #3501 | — | 6 | 1 | no | — |
| 190 | C2×#509 | — | 3 | 1 | no | — |
| 191 | #3389 | — | 6 | 2 | no | — |
| 192 | #3389 | — | 6 | 2 | no | — |
| 193 | #3384 | — | 6 | 2 | no | — |
| 194 | #3384 | — | 6 | 2 | no | — |
| 195 | #3163 | — | 3 | 1 | no | — |
| 196 | #3163 | — | 3 | 1 | no | — |
| 197 | #3162 | — | 3 | 1 | no | — |
| 198 | #3081 | — | 6 | 1 | no | — |
| 199 | #3081 | — | 6 | 1 | no | — |
| 200 | #3077 | — | 6 | 1 | no | — |
| 201 | #2961 | C2×D3 | 1 | 1 | yes | characteristic |
| 202 | #2957 | — | 3 | 1 | no | — |
| 203 | #2948 | — | 3 | 1 | no | — |
| 204 | #2948 | — | 3 | 1 | no | — |
| 205 | C2×#442 | — | 3 | 1 | no | — |
| 206 | #2231 | — | 6 | 2 | no | — |
| 207 | #2230 | — | 6 | 2 | no | — |
| 208 | AGL(1,ℤ/16) | — | 6 | 2 | no | — |
| 209 | AGL(1,ℤ/16) | — | 6 | 2 | no | — |
| 210 | #2155 | — | 3 | 1 | no | — |
| 211 | #2155 | — | 3 | 1 | no | — |
| 212 | C2×#365 | — | 3 | 1 | no | — |
| 213 | #2153 | C2×D3 | 1 | 1 | yes | characteristic |
| 214 | C2×#361 | — | 3 | 1 | no | — |
| 215 | C2×#361 | — | 3 | 1 | no | — |
| 216 | #2145 | — | 3 | 1 | no | — |
| 217 | #2145 | — | 3 | 1 | no | — |
| 218 | C2×#360 | — | 3 | 1 | no | — |
| 219 | #2140 | — | 3 | 1 | no | — |
| 220 | #2110 | C2×D3 | 1 | 1 | yes | characteristic |
| 221 | #2098 | — | 6 | 1 | no | — |
| 222 | #2031 | — | 6 | 1 | no | — |
| 223 | #1976 | — | 3 | 1 | no | — |
| 224 | #1975 | — | 3 | 1 | no | — |
| 225 | #1953 | — | 3 | 1 | no | — |
| 226 | #1946 | — | 3 | 1 | no | — |
| 227 | #1868 | — | 6 | 1 | no | — |
| 228 | #1861 | — | 6 | 1 | no | — |
| 229 | #1833 | — | 3 | 1 | no | — |
| 230 | #1389 | — | 3 | 1 | no | — |
| 231 | #1389 | — | 3 | 1 | no | — |
| 232 | #1386 | — | 3 | 1 | no | — |
| 233 | #1384 | — | 3 | 1 | no | — |
| 234 | #1384 | — | 3 | 1 | no | — |
| 235 | #1383 | — | 3 | 1 | no | — |
| 236 | #1378 | C2×D3 | 1 | 1 | yes | characteristic |
| 237 | #1378 | C2×D3 | 1 | 1 | yes | characteristic |
| 238 | #1375 | C2×D3 | 1 | 1 | yes | characteristic |
| 239 | #1375 | C2×D3 | 1 | 1 | yes | characteristic |
| 240 | C2×D3×Q8 | — | 4 | 2 | no | — |
| 241 | C2×#235 | — | 2 | 1 | no | — |
| 242 | C22×D12 | — | 2 | 1 | no | — |
| 243 | C22×C4×D3 | — | 4 | 1 | no | — |
| 244 | C2×C3×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 245 | C2×C3×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 246 | C22×C3×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 247 | C22×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 248 | C3×C4⋊Q8 | — | 2 | 1 | no | — |
| 249 | C3×#125 | — | 2 | 1 | no | — |
| 250 | C3×C22⋊Q8 | — | 2 | 2 | no | — |
| 251 | C3×C4×Q8 | — | 2 | 2 | no | — |
| 252 | C3×#117 | C2×D4 | 1 | 1 | yes | characteristic |
| 253 | C3×#117 | C2×D4 | 1 | 1 | yes | characteristic |
| 254 | C2×C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 255 | #946 | — | 4 | 2 | no | — |
| 256 | #946 | — | 4 | 2 | no | — |
| 257 | #946 | — | 4 | 2 | no | — |
| 258 | C2×(C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 259 | #926 | — | 2 | 1 | no | — |
| 260 | #926 | — | 2 | 1 | no | — |
| 261 | #926 | — | 2 | 1 | no | — |
| 262 | C2×C4⋊Dic3 | — | 2 | 1 | no | — |
| 263 | #924 | — | 4 | 1 | no | — |
| 264 | #924 | — | 4 | 1 | no | — |
| 265 | C2×#208 | — | 2 | 1 | no | — |
| 266 | C2×#208 | — | 2 | 1 | no | — |
| 267 | #907 | — | 8 | 1 | no | — |
| 268 | D3×M16 | — | 8 | 1 | no | — |
| 269 | C2×Dic12 | C2×Q8 | 1 | 1 | yes | characteristic, complemented |
| 270 | #904 | — | 2 | 1 | no | — |
| 271 | #904 | — | 2 | 1 | no | — |
| 272 | #904 | — | 2 | 1 | no | — |
| 273 | #904 | — | 2 | 1 | no | — |
| 274 | C2×D24 | — | 2 | 1 | no | — |
| 275 | C2×D24 | — | 2 | 1 | no | — |
| 276 | C2×D24 | — | 2 | 1 | no | — |
| 277 | C2×D24 | C2×D4 | 1 | 2 | yes | — |
| 278 | C2×D24 | C2×Q8 | 1 | 2 | yes | — |
| 279 | C2×D24 | C2×Q8 | 1 | 1 | yes | characteristic, complemented |
| 280 | C2×D24 | #41 | 1 | 2 | yes | — |
| 281 | C2×#204 | — | 2 | 1 | no | — |
| 282 | #901 | — | 4 | 2 | no | — |
| 283 | #897 | — | 4 | 2 | no | — |
| 284 | #897 | — | 4 | 2 | no | — |
| 285 | #897 | — | 4 | 2 | no | — |
| 286 | #896 | — | 4 | 2 | no | — |
| 287 | #896 | — | 4 | 2 | no | — |
| 288 | #896 | — | 4 | 2 | no | — |
| 289 | #896 | — | 4 | 2 | no | — |
| 290 | #896 | — | 4 | 2 | no | — |
| 291 | #896 | — | 4 | 2 | no | — |
| 292 | #893 | — | 4 | 1 | no | — |
| 293 | #893 | — | 4 | 1 | no | — |
| 294 | #893 | — | 4 | 1 | no | — |
| 295 | #893 | — | 4 | 1 | no | — |
| 296 | D3×C4⋊C4 | — | 4 | 2 | no | — |
| 297 | D3×C4⋊C4 | — | 4 | 2 | no | — |
| 298 | D3×C4⋊C4 | — | 4 | 2 | no | — |
| 299 | #890 | — | 4 | 1 | no | — |
| 300 | #890 | — | 4 | 1 | no | — |
| 301 | #888 | — | 4 | 1 | no | — |
| 302 | #888 | — | 4 | 1 | no | — |
| 303 | D3×C22⋊C4 | — | 4 | 2 | no | — |
| 304 | D3×C22⋊C4 | — | 4 | 2 | no | — |
| 305 | #878 | — | 4 | 2 | no | — |
| 306 | #878 | — | 4 | 2 | no | — |
| 307 | C4×D12 | — | 2 | 2 | no | — |
| 308 | C4×D12 | — | 2 | 2 | no | — |
| 309 | C4×D12 | — | 2 | 2 | no | — |
| 310 | C4×D12 | — | 2 | 2 | no | — |
| 311 | C4×D12 | — | 2 | 2 | no | — |
| 312 | C4×D12 | — | 2 | 2 | no | — |
| 313 | C4×D12 | — | 4 | 1 | no | — |
| 314 | C4×D12 | — | 4 | 1 | no | — |
| 315 | #870 | — | 2 | 2 | no | — |
| 316 | #870 | — | 2 | 1 | no | — |
| 317 | #870 | — | 2 | 1 | no | — |
| 318 | #870 | — | 2 | 2 | no | — |
| 319 | #869 | — | 2 | 2 | no | — |
| 320 | #869 | — | 2 | 1 | no | — |
| 321 | #869 | — | 2 | 1 | no | — |
| 322 | #869 | — | 2 | 2 | no | — |
| 323 | C4×Dic6 | — | 4 | 1 | no | — |
| 324 | C4×Dic6 | — | 4 | 1 | no | — |
| 325 | C3×M32 | — | 2 | 1 | no | — |
| 326 | C3×M32 | — | 2 | 1 | no | — |
| 327 | C3×M32 | — | 2 | 1 | no | — |
| 328 | C3×M32 | — | 2 | 1 | no | — |
| 329 | C3×M32 | — | 2 | 1 | no | — |
| 330 | C3×M32 | — | 2 | 1 | no | — |
| 331 | C3×M32 | — | 2 | 1 | no | — |
| 332 | C3×M32 | — | 2 | 1 | no | — |
| 333 | C2×C3×C16 | — | 2 | 1 | no | — |
| 334 | C2×C3×C16 | — | 2 | 1 | no | — |
| 335 | C2×C3×C16 | — | 2 | 1 | no | — |
| 336 | C2×C3×C16 | C2×Q8 | 1 | 2 | yes | complemented |
| 337 | C3×C4⋊C8 | — | 2 | 2 | no | — |
| 338 | C3×C4⋊C8 | — | 2 | 2 | no | — |
| 339 | C3×C4⋊C8 | — | 2 | 2 | no | — |
| 340 | C3×#97 | — | 2 | 1 | no | — |
| 341 | C3×#97 | — | 2 | 1 | no | — |
| 342 | C3×#97 | — | 2 | 1 | no | — |
| 343 | C3×#97 | C2×D4 | 1 | 2 | yes | — |
| 344 | C3×C4×C8 | — | 2 | 1 | no | — |
| 345 | C3×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 346 | #825 | — | 8 | 1 | no | — |
| 347 | #822 | — | 8 | 1 | no | — |
| 348 | #821 | — | 2 | 2 | no | — |
| 349 | #821 | — | 2 | 2 | no | — |
| 350 | #821 | — | 2 | 2 | no | — |
| 351 | #821 | — | 2 | 2 | no | — |
| 352 | #821 | — | 2 | 2 | no | — |
| 353 | #821 | — | 2 | 2 | no | — |
| 354 | (C2×D3)⋊C8 | — | 8 | 1 | no | — |
| 355 | #819 | — | 2 | 1 | no | — |
| 356 | #819 | — | 2 | 1 | no | — |
| 357 | #819 | — | 2 | 1 | no | — |
| 358 | #819 | — | 2 | 1 | no | — |
| 359 | #818 | — | 2 | 2 | no | — |
| 360 | #818 | — | 2 | 1 | no | — |
| 361 | #818 | — | 2 | 1 | no | — |
| 362 | #818 | — | 2 | 2 | no | — |
| 363 | #818 | — | 2 | 1 | no | — |
| 364 | #818 | — | 2 | 1 | no | — |
| 365 | #818 | — | 2 | 1 | no | — |
| 366 | #817 | — | 2 | 2 | no | — |
| 367 | #817 | — | 2 | 1 | no | — |
| 368 | #817 | — | 2 | 1 | no | — |
| 369 | #817 | — | 2 | 2 | no | — |
| 370 | #817 | — | 2 | 1 | no | — |
| 371 | #817 | — | 2 | 1 | no | — |
| 372 | #817 | C2×D4 | 1 | 1 | yes | characteristic |
| 373 | #817 | C2×D4 | 1 | 1 | yes | characteristic |
| 374 | #817 | C2×D4 | 1 | 2 | yes | — |
| 375 | #817 | C2×D4 | 1 | 1 | yes | characteristic |
| 376 | #817 | C2×D4 | 1 | 1 | yes | characteristic |
| 377 | Dic3⋊C8 | — | 8 | 1 | no | — |
| 378 | #806 | — | 4 | 2 | no | — |
| 379 | #805 | — | 4 | 2 | no | — |
| 380 | #805 | — | 4 | 1 | no | — |
| 381 | #805 | — | 4 | 1 | no | — |
| 382 | #800 | — | 2 | 4 | no | — |
| 383 | D48 | — | 2 | 4 | no | — |
| 384 | C2×#135 | — | 3 | 1 | no | — |
| 385 | C22×D8 | — | 3 | 1 | no | — |
| 386 | #568 | — | 6 | 1 | no | — |
| 387 | #554 | — | 6 | 2 | no | — |
| 388 | #554 | — | 6 | 2 | no | — |
| 389 | #554 | — | 6 | 2 | no | — |
| 390 | #554 | — | 12 | 1 | no | — |
| 391 | #554 | — | 12 | 1 | no | — |
| 392 | #554 | — | 12 | 1 | no | — |
| 393 | D4×Q8 | — | 6 | 2 | no | — |
| 394 | D4×Q8 | — | 12 | 1 | no | — |
| 395 | #544 | — | 6 | 1 | no | — |
| 396 | #544 | — | 6 | 1 | no | — |
| 397 | #543 | — | 12 | 2 | no | — |
| 398 | #533 | — | 6 | 1 | no | — |
| 399 | #533 | D12 | 1 | 1 | yes | characteristic |
| 400 | C2×C22⋊Q8 | — | 12 | 2 | no | — |
| 401 | #518 | — | 6 | 1 | no | — |
| 402 | #518 | — | 6 | 1 | no | — |
| 403 | C2×C4×D4 | — | 6 | 1 | no | — |
| 404 | #509 | — | 6 | 2 | no | — |
| 405 | #509 | — | 6 | 2 | no | — |
| 406 | C2×SD32 | — | 3 | 2 | no | — |
| 407 | C2×D16 | — | 3 | 2 | no | — |
| 408 | C2×M32 | C22×D3 | 1 | 1 | yes | characteristic |
| 409 | C2×M32 | C22×D3 | 1 | 1 | yes | characteristic |
| 410 | C2×M32 | C22×D3 | 1 | 1 | yes | characteristic |
| 411 | C2×M32 | C22×D3 | 1 | 1 | yes | characteristic |
| 412 | #501 | — | 6 | 1 | no | — |
| 413 | #501 | — | 6 | 1 | no | — |
| 414 | #501 | — | 6 | 2 | no | — |
| 415 | #501 | — | 6 | 1 | no | — |
| 416 | #501 | — | 6 | 1 | no | — |
| 417 | #501 | — | 6 | 2 | no | — |
| 418 | #499 | — | 3 | 2 | no | — |
| 419 | #499 | — | 6 | 1 | no | — |
| 420 | #498 | — | 3 | 2 | no | — |
| 421 | #498 | — | 6 | 1 | no | — |
| 422 | #478 | — | 6 | 2 | no | — |
| 423 | #478 | — | 6 | 2 | no | — |
| 424 | #478 | — | 6 | 2 | no | — |
| 425 | #478 | — | 6 | 2 | no | — |
| 426 | #478 | — | 6 | 2 | no | — |
| 427 | #478 | — | 6 | 2 | no | — |
| 428 | #476 | — | 6 | 2 | no | — |
| 429 | #476 | — | 6 | 2 | no | — |
| 430 | #476 | — | 6 | 2 | no | — |
| 431 | #474 | — | 6 | 2 | no | — |
| 432 | #474 | — | 6 | 2 | no | — |
| 433 | #474 | — | 6 | 2 | no | — |
| 434 | #446 | — | 2 | 2 | no | — |
| 435 | #446 | — | 2 | 2 | no | — |
| 436 | #444 | — | 6 | 2 | no | — |
| 437 | #443 | — | 6 | 2 | no | — |
| 438 | #442 | — | 3 | 2 | no | — |
| 439 | #442 | — | 3 | 2 | no | — |
| 440 | #442 | — | 6 | 1 | no | — |
| 441 | #442 | — | 6 | 2 | no | — |
| 442 | #442 | — | 6 | 1 | no | — |
| 443 | #442 | — | 6 | 2 | no | — |
| 444 | C4×D8 | — | 6 | 2 | no | — |
| 445 | C4×D8 | — | 6 | 2 | no | — |
| 446 | #430 | — | 6 | 1 | no | — |
| 447 | C2×#108 | — | 3 | 1 | no | — |
| 448 | C2×#108 | — | 3 | 1 | no | — |
| 449 | #428 | — | 6 | 1 | no | — |
| 450 | #428 | — | 6 | 1 | no | — |
| 451 | #427 | — | 3 | 1 | no | — |
| 452 | #427 | — | 3 | 1 | no | — |
| 453 | #427 | — | 3 | 1 | no | — |
| 454 | #427 | — | 6 | 1 | no | — |
| 455 | C2×#106 | — | 3 | 1 | no | — |
| 456 | #424 | — | 6 | 1 | no | — |
| 457 | #424 | D12 | 1 | 1 | yes | characteristic |
| 458 | #424 | D12 | 1 | 1 | yes | characteristic |
| 459 | #423 | D12 | 1 | 1 | yes | characteristic |
| 460 | #421 | — | 6 | 1 | no | — |
| 461 | #421 | — | 6 | 1 | no | — |
| 462 | C2×#104 | — | 6 | 1 | no | — |
| 463 | #418 | — | 6 | 1 | no | — |
| 464 | #418 | — | 6 | 1 | no | — |
| 465 | C2×#102 | — | 6 | 1 | no | — |
| 466 | #410 | — | 6 | 1 | no | — |
| 467 | #408 | — | 6 | 1 | no | — |
| 468 | #405 | C22×D3 | 1 | 1 | yes | characteristic |
| 469 | #405 | C22×D3 | 1 | 1 | yes | characteristic |
| 470 | C2×#97 | C22×D3 | 1 | 1 | yes | characteristic |
| 471 | #365 | — | 6 | 2 | no | — |
| 472 | #365 | — | 6 | 1 | no | — |
| 473 | #365 | — | 6 | 1 | no | — |
| 474 | #365 | — | 6 | 1 | no | — |
| 475 | #365 | — | 6 | 1 | no | — |
| 476 | #364 | — | 2 | 2 | no | — |
| 477 | #361 | — | 6 | 2 | no | — |
| 478 | #361 | — | 6 | 2 | no | — |
| 479 | #360 | — | 6 | 2 | no | — |
| 480 | #360 | — | 6 | 1 | no | — |
| 481 | #360 | — | 6 | 1 | no | — |
| 482 | #360 | — | 6 | 1 | no | — |
| 483 | #360 | — | 6 | 1 | no | — |
| 484 | #357 | — | 6 | 2 | no | — |
| 485 | #347 | — | 2 | 2 | no | — |
| 486 | #344 | — | 6 | 1 | no | — |
| 487 | #344 | — | 6 | 1 | no | — |
| 488 | #339 | — | 6 | 1 | no | — |
| 489 | H(3,ℤ/4) | — | 6 | 1 | no | — |
| 490 | C23×D3 | — | 4 | 1 | no | — |
| 491 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 492 | C22×C3×C4 | — | 2 | 1 | no | — |
| 493 | C22×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 494 | C2×#67 | — | 4 | 1 | no | — |
| 495 | C22×Dic3 | — | 4 | 1 | no | — |
| 496 | D3×Q8 | — | 16 | 4 | no | — |
| 497 | #235 | — | 4 | 1 | no | — |
| 498 | #235 | — | 4 | 1 | no | — |
| 499 | #235 | — | 4 | 1 | no | — |
| 500 | #235 | — | 4 | 1 | no | — |
| 501 | C2×D12 | — | 2 | 2 | no | — |
| 502 | C2×D12 | — | 2 | 2 | no | — |
| 503 | C2×D12 | — | 2 | 2 | no | — |
| 504 | C2×D12 | — | 2 | 1 | no | — |
| 505 | C2×D12 | — | 4 | 1 | no | — |
| 506 | C2×D12 | — | 4 | 1 | no | — |
| 507 | C2×D12 | — | 4 | 1 | no | — |
| 508 | C2×C4×D3 | — | 4 | 2 | no | — |
| 509 | C2×C4×D3 | — | 4 | 1 | no | — |
| 510 | C2×C4×D3 | — | 4 | 2 | no | — |
| 511 | C2×C4×D3 | — | 4 | 2 | no | — |
| 512 | C2×C4×D3 | — | 4 | 2 | no | — |
| 513 | C2×C4×D3 | — | 4 | 2 | no | — |
| 514 | C2×C4×D3 | — | 4 | 2 | no | — |
| 515 | C2×C4×D3 | — | 16 | 2 | no | — |
| 516 | C2×Dic6 | — | 2 | 1 | no | — |
| 517 | C2×Dic6 | — | 4 | 1 | no | — |
| 518 | C2×Dic6 | — | 4 | 1 | no | — |
| 519 | C2×Dic6 | — | 4 | 2 | no | — |
| 520 | C2×Dic6 | — | 4 | 2 | no | — |
| 521 | C3×M16 | — | 2 | 1 | no | — |
| 522 | C3×M16 | — | 2 | 1 | no | — |
| 523 | C3×M16 | — | 2 | 1 | no | — |
| 524 | C3×M16 | — | 2 | 1 | no | — |
| 525 | C2×C3×C8 | — | 2 | 1 | no | — |
| 526 | C2×C3×C8 | — | 2 | 1 | no | — |
| 527 | C2×C3×C8 | — | 2 | 1 | no | — |
| 528 | C2×C3×C8 | — | 2 | 1 | no | — |
| 529 | C2×C3×C8 | #120 | 1 | 2 | yes | — |
| 530 | C2×C3×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 531 | C2×C3×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 532 | C2×C3×C8 | C22×Q8 | 1 | 1 | yes | characteristic |
| 533 | C2×C3×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 534 | C2×C3×C8 | 2−1+4 | 1 | 1 | yes | characteristic |
| 535 | C2×C3×C8 | 2−1+4 | 1 | 1 | yes | characteristic |
| 536 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 537 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 538 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 539 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 540 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 541 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 542 | C3×C22⋊C4 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 543 | C3×C42 | — | 2 | 1 | no | — |
| 544 | C3×C42 | — | 2 | 1 | no | — |
| 545 | C3×C42 | #120 | 1 | 2 | yes | — |
| 546 | C3×C42 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 547 | C3×C42 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 548 | #217 | — | 4 | 1 | no | — |
| 549 | #217 | — | 4 | 1 | no | — |
| 550 | #217 | — | 4 | 1 | no | — |
| 551 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 552 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 553 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 554 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 555 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 556 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 557 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 558 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 559 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 560 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 561 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 562 | C4⋊Dic3 | — | 4 | 1 | no | — |
| 563 | C4⋊Dic3 | — | 4 | 1 | no | — |
| 564 | C4⋊Dic3 | — | 4 | 2 | no | — |
| 565 | C4⋊Dic3 | — | 4 | 2 | no | — |
| 566 | C4⋊Dic3 | — | 4 | 1 | no | — |
| 567 | C4⋊Dic3 | — | 4 | 1 | no | — |
| 568 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 569 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 570 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 571 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 572 | Dic3⋊C4 | — | 4 | 2 | no | — |
| 573 | Dic3⋊C4 | — | 4 | 2 | no | — |
| 574 | Dic3⋊C4 | — | 4 | 2 | no | — |
| 575 | Dic3⋊C4 | — | 4 | 2 | no | — |
| 576 | C4×Dic3 | — | 4 | 1 | no | — |
| 577 | C4×Dic3 | — | 4 | 1 | no | — |
| 578 | C4×Dic3 | — | 4 | 1 | no | — |
| 579 | #208 | — | 4 | 1 | no | — |
| 580 | #208 | — | 4 | 1 | no | — |
| 581 | #208 | — | 4 | 1 | no | — |
| 582 | #208 | — | 4 | 1 | no | — |
| 583 | C2×C3⋊C8 | — | 4 | 1 | no | — |
| 584 | C2×C3⋊C8 | — | 4 | 1 | no | — |
| 585 | Dic12 | — | 2 | 1 | no | — |
| 586 | Dic12 | — | 2 | 1 | no | — |
| 587 | D24 | — | 2 | 1 | no | — |
| 588 | D24 | — | 2 | 2 | no | — |
| 589 | D24 | — | 2 | 2 | no | — |
| 590 | D24 | — | 2 | 2 | no | — |
| 591 | D24 | — | 2 | 1 | no | — |
| 592 | D24 | C22⋊Q8 | 1 | 4 | yes | — |
| 593 | #204 | — | 4 | 1 | no | — |
| 594 | #204 | — | 4 | 1 | no | — |
| 595 | ΓL(1,𝔽25) | — | 8 | 2 | no | — |
| 596 | D3×C8 | — | 8 | 2 | no | — |
| 597 | C3×C16 | — | 2 | 2 | no | — |
| 598 | C3×C16 | — | 4 | 1 | no | — |
| 599 | C3×C16 | — | 4 | 1 | no | — |
| 600 | C3×C16 | — | 4 | 1 | no | — |
| 601 | C2×#41 | — | 6 | 1 | no | — |
| 602 | C22×Q8 | — | 12 | 2 | no | — |
| 603 | C22×D4 | — | 6 | 1 | no | — |
| 604 | C23×C4 | — | 12 | 1 | no | — |
| 605 | #135 | — | 6 | 1 | no | — |
| 606 | #135 | — | 6 | 1 | no | — |
| 607 | #135 | — | 6 | 1 | no | — |
| 608 | #135 | — | 6 | 1 | no | — |
| 609 | C2×Q16 | — | 3 | 1 | no | — |
| 610 | C2×SD16 | — | 6 | 1 | no | — |
| 611 | C2×D8 | — | 3 | 2 | no | — |
| 612 | C2×D8 | — | 3 | 2 | no | — |
| 613 | C2×D8 | — | 3 | 1 | no | — |
| 614 | C2×D8 | — | 3 | 2 | no | — |
| 615 | C2×D8 | — | 6 | 1 | no | — |
| 616 | C2×D8 | — | 6 | 1 | no | — |
| 617 | C2×D8 | — | 6 | 1 | no | — |
| 618 | #131 | — | 12 | 2 | no | — |
| 619 | #131 | — | 24 | 1 | no | — |
| 620 | C2×M16 | — | 6 | 1 | no | — |
| 621 | C2×M16 | — | 6 | 1 | no | — |
| 622 | C2×M16 | — | 24 | 1 | no | — |
| 623 | C2×M16 | C2×D12 | 1 | 1 | yes | characteristic |
| 624 | C2×M16 | C2×D12 | 1 | 1 | yes | characteristic |
| 625 | C22×C8 | C2×D12 | 1 | 1 | yes | characteristic |
| 626 | C22×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 627 | C4⋊Q8 | — | 2 | 1 | no | — |
| 628 | C4⋊Q8 | — | 6 | 1 | no | — |
| 629 | C4⋊Q8 | — | 6 | 1 | no | — |
| 630 | C4⋊Q8 | — | 6 | 2 | no | — |
| 631 | C4⋊Q8 | — | 6 | 2 | no | — |
| 632 | C4⋊Q8 | — | 12 | 1 | no | — |
| 633 | C4⋊Q8 | — | 12 | 1 | no | — |
| 634 | #125 | — | 2 | 1 | no | — |
| 635 | #125 | — | 6 | 1 | no | — |
| 636 | #125 | — | 6 | 1 | no | — |
| 637 | #125 | — | 6 | 2 | no | — |
| 638 | #125 | — | 6 | 2 | no | — |
| 639 | #125 | — | 12 | 1 | no | — |
| 640 | #125 | — | 12 | 1 | no | — |
| 641 | C22⋊Q8 | — | 2 | 2 | no | — |
| 642 | C22⋊Q8 | — | 12 | 2 | no | — |
| 643 | C22⋊Q8 | — | 12 | 2 | no | — |
| 644 | C22⋊Q8 | — | 12 | 2 | no | — |
| 645 | C22⋊Q8 | — | 12 | 2 | no | — |
| 646 | C22⋊Q8 | — | 12 | 2 | no | — |
| 647 | C22⋊Q8 | — | 12 | 2 | no | — |
| 648 | C22⋊Q8 | — | 12 | 2 | no | — |
| 649 | C22⋊Q8 | — | 12 | 2 | no | — |
| 650 | C22⋊Q8 | — | 12 | 2 | no | — |
| 651 | C22⋊Q8 | — | 12 | 2 | no | — |
| 652 | C22⋊Q8 | — | 12 | 1 | no | — |
| 653 | C22⋊Q8 | — | 12 | 1 | no | — |
| 654 | C22⋊Q8 | — | 12 | 2 | no | — |
| 655 | C22⋊Q8 | — | 12 | 2 | no | — |
| 656 | C22⋊Q8 | — | 12 | 2 | no | — |
| 657 | C22⋊Q8 | — | 12 | 2 | no | — |
| 658 | C4×Q8 | — | 2 | 2 | no | — |
| 659 | C4×Q8 | — | 12 | 1 | no | — |
| 660 | C4×Q8 | — | 12 | 1 | no | — |
| 661 | C4×D4 | — | 6 | 2 | no | — |
| 662 | C4×D4 | — | 6 | 2 | no | — |
| 663 | C4×D4 | — | 6 | 2 | no | — |
| 664 | C4×D4 | — | 6 | 2 | no | — |
| 665 | C4×D4 | — | 6 | 2 | no | — |
| 666 | C4×D4 | — | 6 | 2 | no | — |
| 667 | C4×D4 | — | 12 | 1 | no | — |
| 668 | C4×D4 | — | 12 | 1 | no | — |
| 669 | C4×D4 | — | 12 | 1 | no | — |
| 670 | C4×D4 | — | 12 | 1 | no | — |
| 671 | C4×D4 | — | 12 | 1 | no | — |
| 672 | C4×D4 | — | 12 | 1 | no | — |
| 673 | #117 | — | 6 | 1 | no | — |
| 674 | #117 | — | 6 | 1 | no | — |
| 675 | #117 | — | 6 | 1 | no | — |
| 676 | #117 | C2×D12 | 1 | 1 | yes | characteristic |
| 677 | #117 | C2×D12 | 1 | 1 | yes | characteristic |
| 678 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 679 | C2×C4⋊C4 | — | 12 | 2 | no | — |
| 680 | C2×C4⋊C4 | — | 12 | 2 | no | — |
| 681 | C2×C4⋊C4 | — | 12 | 2 | no | — |
| 682 | C2×C22⋊C4 | — | 12 | 2 | no | — |
| 683 | C2×C22⋊C4 | — | 12 | 1 | no | — |
| 684 | C2×C22⋊C4 | — | 12 | 2 | no | — |
| 685 | C2×C42 | C2×D12 | 1 | 1 | yes | characteristic |
| 686 | SD32 | — | 6 | 4 | no | — |
| 687 | D16 | — | 6 | 4 | no | — |
| 688 | M32 | — | 2 | 1 | no | — |
| 689 | M32 | — | 2 | 1 | no | — |
| 690 | M32 | — | 2 | 1 | no | — |
| 691 | M32 | — | 2 | 1 | no | — |
| 692 | M32 | — | 2 | 1 | no | — |
| 693 | M32 | — | 2 | 1 | no | — |
| 694 | M32 | — | 2 | 1 | no | — |
| 695 | M32 | — | 2 | 1 | no | — |
| 696 | C2×C16 | — | 2 | 1 | no | — |
| 697 | C2×C16 | — | 2 | 1 | no | — |
| 698 | C2×C16 | — | 2 | 1 | no | — |
| 699 | C2×C16 | D3×Q8 | 1 | 2 | yes | complemented |
| 700 | #108 | — | 6 | 1 | no | — |
| 701 | #108 | — | 6 | 1 | no | — |
| 702 | #108 | — | 6 | 1 | no | — |
| 703 | #108 | — | 6 | 1 | no | — |
| 704 | #108 | — | 24 | 1 | no | — |
| 705 | #107 | — | 6 | 1 | no | — |
| 706 | #107 | — | 6 | 1 | no | — |
| 707 | #107 | — | 6 | 2 | no | — |
| 708 | #107 | — | 6 | 2 | no | — |
| 709 | #107 | — | 6 | 1 | no | — |
| 710 | #107 | — | 6 | 1 | no | — |
| 711 | #107 | — | 6 | 1 | no | — |
| 712 | #106 | — | 3 | 2 | no | — |
| 713 | #106 | — | 3 | 1 | no | — |
| 714 | #106 | — | 3 | 1 | no | — |
| 715 | #106 | — | 3 | 1 | no | — |
| 716 | #106 | — | 3 | 1 | no | — |
| 717 | #106 | — | 6 | 1 | no | — |
| 718 | #106 | — | 6 | 1 | no | — |
| 719 | #106 | — | 6 | 2 | no | — |
| 720 | #106 | — | 6 | 2 | no | — |
| 721 | #106 | — | 6 | 1 | no | — |
| 722 | #106 | — | 6 | 1 | no | — |
| 723 | C4⋊C8 | — | 2 | 2 | no | — |
| 724 | C4⋊C8 | — | 2 | 2 | no | — |
| 725 | C4⋊C8 | — | 2 | 2 | no | — |
| 726 | C4⋊C8 | — | 24 | 1 | no | — |
| 727 | #104 | — | 12 | 2 | no | — |
| 728 | #104 | — | 12 | 1 | no | — |
| 729 | #104 | — | 12 | 1 | no | — |
| 730 | #104 | — | 24 | 1 | no | — |
| 731 | #102 | — | 6 | 2 | no | — |
| 732 | #102 | — | 6 | 2 | no | — |
| 733 | #102 | — | 6 | 2 | no | — |
| 734 | #102 | — | 6 | 2 | no | — |
| 735 | #102 | — | 6 | 2 | no | — |
| 736 | #102 | — | 6 | 2 | no | — |
| 737 | #99 | — | 12 | 2 | no | — |
| 738 | C22⋊C8 | — | 24 | 1 | no | — |
| 739 | #97 | — | 2 | 1 | no | — |
| 740 | #97 | — | 2 | 1 | no | — |
| 741 | #97 | — | 2 | 1 | no | — |
| 742 | #97 | D3×D4 | 1 | 2 | yes | — |
| 743 | C4×C8 | — | 2 | 1 | no | — |
| 744 | C4×C8 | D3×D4 | 1 | 2 | yes | — |
| 745 | C23×C3 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 746 | C22×D3 | — | 4 | 2 | no | — |
| 747 | C22×D3 | — | 4 | 2 | no | — |
| 748 | C22×D3 | — | 4 | 2 | no | — |
| 749 | C22×D3 | — | 4 | 1 | no | — |
| 750 | C22×D3 | — | 16 | 1 | no | — |
| 751 | C22×D3 | — | 16 | 1 | no | — |
| 752 | C3×Q8 | — | 8 | 2 | no | — |
| 753 | C2×C3×C4 | — | 2 | 1 | no | — |
| 754 | C2×C3×C4 | — | 2 | 1 | no | — |
| 755 | C2×C3×C4 | — | 2 | 2 | no | — |
| 756 | C2×C3×C4 | — | 2 | 2 | no | — |
| 757 | C2×C3×C4 | — | 8 | 1 | no | — |
| 758 | C2×C3×C4 | C2×#120 | 1 | 1 | yes | characteristic |
| 759 | C2×C3×C4 | #548 | 1 | 1 | yes | characteristic |
| 760 | C2×C3×C4 | D4×Q8 | 1 | 1 | yes | characteristic |
| 761 | C2×C3×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 762 | C2×C3×C4 | #577 | 1 | 1 | yes | characteristic |
| 763 | C2×C3×C4 | #577 | 1 | 1 | yes | characteristic |
| 764 | #67 | — | 8 | 1 | no | — |
| 765 | #67 | — | 8 | 1 | no | — |
| 766 | C2×Dic3 | — | 4 | 1 | no | — |
| 767 | C2×Dic3 | — | 4 | 1 | no | — |
| 768 | C2×Dic3 | — | 4 | 1 | no | — |
| 769 | C2×Dic3 | — | 4 | 1 | no | — |
| 770 | C2×Dic3 | — | 4 | 1 | no | — |
| 771 | C2×Dic3 | — | 4 | 2 | no | — |
| 772 | C2×Dic3 | — | 8 | 1 | no | — |
| 773 | C2×Dic3 | — | 16 | 1 | no | — |
| 774 | D12 | — | 2 | 4 | no | — |
| 775 | D12 | — | 4 | 2 | no | — |
| 776 | D12 | — | 4 | 2 | no | — |
| 777 | D12 | — | 4 | 1 | no | — |
| 778 | D12 | — | 4 | 1 | no | — |
| 779 | D12 | — | 4 | 2 | no | — |
| 780 | C4×D3 | — | 8 | 4 | no | — |
| 781 | C4×D3 | — | 8 | 1 | no | — |
| 782 | C4×D3 | — | 8 | 1 | no | — |
| 783 | C4×D3 | — | 16 | 2 | no | — |
| 784 | C4×D3 | — | 16 | 2 | no | — |
| 785 | C4×D3 | — | 16 | 2 | no | — |
| 786 | C4×D3 | — | 16 | 2 | no | — |
| 787 | C4×D3 | — | 16 | 2 | no | — |
| 788 | Dic6 | — | 4 | 1 | no | — |
| 789 | Dic6 | — | 4 | 1 | no | — |
| 790 | Dic6 | — | 8 | 2 | no | — |
| 791 | Dic6 | — | 16 | 1 | no | — |
| 792 | Dic6 | — | 16 | 2 | no | — |
| 793 | Dic6 | — | 16 | 2 | no | — |
| 794 | C3×C8 | — | 2 | 2 | no | — |
| 795 | C3×C8 | — | 4 | 1 | no | — |
| 796 | C3×C8 | — | 4 | 1 | no | — |
| 797 | C3×C8 | C2×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 798 | C3×C8 | #536 | 1 | 1 | yes | characteristic |
| 799 | C3×C8 | #548 | 1 | 1 | yes | characteristic |
| 800 | C3×C8 | D4×Q8 | 1 | 1 | yes | characteristic |
| 801 | C3⋊C8 | — | 8 | 1 | no | — |
| 802 | C3⋊C8 | — | 8 | 1 | no | — |
| 803 | C24 | — | 12 | 1 | no | — |
| 804 | #41 | — | 12 | 1 | no | — |
| 805 | #41 | — | 12 | 1 | no | — |
| 806 | #41 | — | 12 | 1 | no | — |
| 807 | #41 | — | 12 | 1 | no | — |
| 808 | C2×Q8 | — | 2 | 2 | no | — |
| 809 | C2×Q8 | — | 6 | 1 | no | — |
| 810 | C2×Q8 | — | 12 | 1 | no | — |
| 811 | C2×Q8 | — | 12 | 1 | no | — |
| 812 | C2×Q8 | — | 12 | 2 | no | — |
| 813 | C2×Q8 | — | 12 | 2 | no | — |
| 814 | C2×Q8 | — | 48 | 4 | no | — |
| 815 | C2×D4 | — | 6 | 2 | no | — |
| 816 | C2×D4 | — | 6 | 2 | no | — |
| 817 | C2×D4 | — | 6 | 1 | no | — |
| 818 | C2×D4 | — | 6 | 2 | no | — |
| 819 | C2×D4 | — | 12 | 1 | no | — |
| 820 | C2×D4 | — | 12 | 1 | no | — |
| 821 | C2×D4 | — | 12 | 1 | no | — |
| 822 | C2×D4 | — | 12 | 1 | no | — |
| 823 | C22×C4 | — | 2 | 1 | no | — |
| 824 | C22×C4 | — | 12 | 2 | no | — |
| 825 | C22×C4 | — | 12 | 2 | no | — |
| 826 | C22×C4 | — | 12 | 2 | no | — |
| 827 | C22×C4 | — | 12 | 2 | no | — |
| 828 | C22×C4 | — | 12 | 2 | no | — |
| 829 | C22×C4 | — | 12 | 2 | no | — |
| 830 | C22×C4 | — | 12 | 1 | no | — |
| 831 | C22×C4 | — | 12 | 1 | no | — |
| 832 | C22×C4 | — | 48 | 2 | no | — |
| 833 | C22×C4 | C22×D12 | 1 | 1 | yes | characteristic |
| 834 | Q16 | — | 6 | 1 | no | — |
| 835 | Q16 | — | 6 | 1 | no | — |
| 836 | SD16 | — | 12 | 1 | no | — |
| 837 | SD16 | — | 12 | 1 | no | — |
| 838 | D8 | — | 3 | 4 | no | — |
| 839 | D8 | — | 6 | 2 | no | — |
| 840 | D8 | — | 6 | 2 | no | — |
| 841 | D8 | — | 6 | 1 | no | — |
| 842 | D8 | — | 6 | 1 | no | — |
| 843 | D8 | — | 6 | 2 | no | — |
| 844 | M16 | — | 2 | 1 | no | — |
| 845 | M16 | — | 2 | 1 | no | — |
| 846 | M16 | — | 2 | 1 | no | — |
| 847 | M16 | — | 2 | 1 | no | — |
| 848 | M16 | — | 12 | 1 | no | — |
| 849 | M16 | — | 12 | 1 | no | — |
| 850 | M16 | — | 12 | 1 | no | — |
| 851 | M16 | — | 12 | 1 | no | — |
| 852 | M16 | — | 24 | 2 | no | — |
| 853 | C2×C8 | — | 2 | 1 | no | — |
| 854 | C2×C8 | — | 2 | 1 | no | — |
| 855 | C2×C8 | — | 2 | 1 | no | — |
| 856 | C2×C8 | — | 2 | 1 | no | — |
| 857 | C2×C8 | — | 12 | 1 | no | — |
| 858 | C2×C8 | — | 12 | 1 | no | — |
| 859 | C2×C8 | — | 24 | 2 | no | — |
| 860 | C2×C8 | #882 | 1 | 2 | yes | — |
| 861 | C2×C8 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 862 | C2×C8 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 863 | C2×C8 | C2×D3×Q8 | 1 | 1 | yes | characteristic |
| 864 | C2×C8 | #1007 | 1 | 1 | yes | characteristic |
| 865 | C2×C8 | D3×#41 | 1 | 1 | yes | characteristic |
| 866 | C2×C8 | #1010 | 1 | 1 | yes | characteristic |
| 867 | C4⋊C4 | — | 2 | 2 | no | — |
| 868 | C4⋊C4 | — | 2 | 2 | no | — |
| 869 | C4⋊C4 | — | 2 | 2 | no | — |
| 870 | C4⋊C4 | — | 2 | 1 | no | — |
| 871 | C4⋊C4 | — | 2 | 1 | no | — |
| 872 | C4⋊C4 | — | 6 | 2 | no | — |
| 873 | C4⋊C4 | — | 6 | 1 | no | — |
| 874 | C4⋊C4 | — | 6 | 1 | no | — |
| 875 | C4⋊C4 | — | 6 | 1 | no | — |
| 876 | C4⋊C4 | — | 6 | 1 | no | — |
| 877 | C4⋊C4 | — | 12 | 1 | no | — |
| 878 | C4⋊C4 | — | 12 | 1 | no | — |
| 879 | C4⋊C4 | — | 12 | 1 | no | — |
| 880 | C4⋊C4 | — | 12 | 2 | no | — |
| 881 | C4⋊C4 | — | 12 | 2 | no | — |
| 882 | C4⋊C4 | — | 12 | 2 | no | — |
| 883 | C4⋊C4 | — | 12 | 2 | no | — |
| 884 | C4⋊C4 | — | 12 | 2 | no | — |
| 885 | C4⋊C4 | — | 12 | 2 | no | — |
| 886 | C4⋊C4 | — | 12 | 1 | no | — |
| 887 | C4⋊C4 | — | 12 | 1 | no | — |
| 888 | C4⋊C4 | — | 12 | 1 | no | — |
| 889 | C4⋊C4 | — | 12 | 1 | no | — |
| 890 | C4⋊C4 | — | 12 | 1 | no | — |
| 891 | C22⋊C4 | — | 2 | 1 | no | — |
| 892 | C22⋊C4 | — | 12 | 2 | no | — |
| 893 | C22⋊C4 | — | 12 | 2 | no | — |
| 894 | C22⋊C4 | — | 12 | 2 | no | — |
| 895 | C22⋊C4 | — | 12 | 2 | no | — |
| 896 | C22⋊C4 | — | 12 | 2 | no | — |
| 897 | C22⋊C4 | — | 12 | 2 | no | — |
| 898 | C22⋊C4 | — | 12 | 1 | no | — |
| 899 | C22⋊C4 | — | 12 | 1 | no | — |
| 900 | C22⋊C4 | — | 12 | 1 | no | — |
| 901 | C22⋊C4 | #908 | 1 | 2 | yes | — |
| 902 | C42 | — | 2 | 1 | no | — |
| 903 | C42 | — | 2 | 1 | no | — |
| 904 | C42 | — | 12 | 1 | no | — |
| 905 | C42 | — | 12 | 1 | no | — |
| 906 | C42 | — | 12 | 1 | no | — |
| 907 | C42 | #882 | 1 | 2 | yes | — |
| 908 | C42 | #908 | 1 | 1 | yes | characteristic |
| 909 | C42 | #908 | 1 | 1 | yes | characteristic |
| 910 | C16 | — | 2 | 2 | no | — |
| 911 | C16 | — | 4 | 1 | no | — |
| 912 | C16 | — | 4 | 1 | no | — |
| 913 | C16 | — | 4 | 1 | no | — |
| 914 | C22×C3 | — | 4 | 1 | no | — |
| 915 | C22×C3 | #3003 | 1 | 1 | yes | characteristic |
| 916 | C22×C3 | #3373 | 1 | 1 | yes | characteristic |
| 917 | C22×C3 | #3384 | 1 | 1 | yes | characteristic |
| 918 | C2×D3 | — | 4 | 4 | no | — |
| 919 | C2×D3 | — | 8 | 2 | no | — |
| 920 | C2×D3 | — | 8 | 2 | no | — |
| 921 | C2×D3 | — | 8 | 1 | no | — |
| 922 | C2×D3 | — | 16 | 2 | no | — |
| 923 | C2×D3 | — | 16 | 2 | no | — |
| 924 | C2×D3 | — | 16 | 1 | no | — |
| 925 | C3×C4 | — | 4 | 1 | no | — |
| 926 | C3×C4 | — | 4 | 1 | no | — |
| 927 | C3×C4 | — | 4 | 2 | no | — |
| 928 | C3×C4 | — | 4 | 2 | no | — |
| 929 | C3×C4 | #2409 | 1 | 1 | yes | characteristic |
| 930 | C3×C4 | #3010 | 1 | 1 | yes | characteristic |
| 931 | C3×C4 | #3373 | 1 | 1 | yes | characteristic |
| 932 | C3×C4 | #3384 | 1 | 1 | yes | characteristic |
| 933 | Dic3 | — | 8 | 1 | no | — |
| 934 | Dic3 | — | 8 | 1 | no | — |
| 935 | Dic3 | — | 8 | 2 | no | — |
| 936 | Dic3 | — | 8 | 1 | no | — |
| 937 | Dic3 | — | 8 | 1 | no | — |
| 938 | Dic3 | — | 8 | 1 | no | — |
| 939 | Dic3 | — | 16 | 1 | no | — |
| 940 | C23 | — | 12 | 2 | no | — |
| 941 | C23 | — | 12 | 2 | no | — |
| 942 | C23 | — | 12 | 2 | no | — |
| 943 | C23 | — | 12 | 1 | no | — |
| 944 | C23 | — | 48 | 1 | no | — |
| 945 | C23 | — | 48 | 1 | no | — |
| 946 | C23 | C2×#908 | 1 | 1 | yes | characteristic |
| 947 | Q8 | — | 8 | 2 | no | — |
| 948 | Q8 | — | 12 | 1 | no | — |
| 949 | Q8 | — | 12 | 1 | no | — |
| 950 | Q8 | — | 24 | 2 | no | — |
| 951 | Q8 | — | 48 | 2 | no | — |
| 952 | Q8 | — | 48 | 2 | no | — |
| 953 | Q8 | — | 48 | 1 | no | — |
| 954 | D4 | — | 6 | 4 | no | — |
| 955 | D4 | — | 12 | 1 | no | — |
| 956 | D4 | — | 12 | 2 | no | — |
| 957 | D4 | — | 12 | 2 | no | — |
| 958 | D4 | — | 12 | 2 | no | — |
| 959 | D4 | — | 12 | 1 | no | — |
| 960 | D4 | — | 24 | 1 | no | — |
| 961 | D4 | — | 24 | 1 | no | — |
| 962 | C2×C4 | — | 2 | 1 | no | — |
| 963 | C2×C4 | — | 2 | 1 | no | — |
| 964 | C2×C4 | — | 2 | 2 | no | — |
| 965 | C2×C4 | — | 2 | 2 | no | — |
| 966 | C2×C4 | — | 8 | 1 | no | — |
| 967 | C2×C4 | — | 12 | 1 | no | — |
| 968 | C2×C4 | — | 12 | 1 | no | — |
| 969 | C2×C4 | — | 12 | 1 | no | — |
| 970 | C2×C4 | — | 12 | 1 | no | — |
| 971 | C2×C4 | — | 12 | 2 | no | — |
| 972 | C2×C4 | — | 12 | 1 | no | — |
| 973 | C2×C4 | — | 24 | 4 | no | — |
| 974 | C2×C4 | — | 24 | 1 | no | — |
| 975 | C2×C4 | — | 24 | 1 | no | — |
| 976 | C2×C4 | — | 24 | 1 | no | — |
| 977 | C2×C4 | — | 48 | 2 | no | — |
| 978 | C2×C4 | — | 48 | 2 | no | — |
| 979 | C2×C4 | — | 48 | 2 | no | — |
| 980 | C2×C4 | — | 48 | 2 | no | — |
| 981 | C2×C4 | — | 48 | 2 | no | — |
| 982 | C2×C4 | — | 48 | 1 | no | — |
| 983 | C2×C4 | C2×#882 | 1 | 1 | yes | characteristic |
| 984 | C2×C4 | Q8×D12 | 1 | 1 | yes | characteristic |
| 985 | C2×C4 | #5576 | 1 | 1 | yes | characteristic |
| 986 | C2×C4 | C2×#908 | 1 | 1 | yes | characteristic |
| 987 | C2×C4 | #5751 | 1 | 1 | yes | characteristic |
| 988 | C2×C4 | #5751 | 1 | 1 | yes | characteristic |
| 989 | C8 | — | 2 | 2 | no | — |
| 990 | C8 | — | 4 | 1 | no | — |
| 991 | C8 | — | 4 | 1 | no | — |
| 992 | C8 | — | 24 | 1 | no | — |
| 993 | C8 | — | 24 | 1 | no | — |
| 994 | C8 | D3×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 995 | C8 | #5628 | 1 | 1 | yes | characteristic |
| 996 | C8 | #5677 | 1 | 1 | yes | characteristic |
| 997 | C8 | #5727 | 1 | 1 | yes | characteristic |
| 998 | C2×C3 | — | 2 | 1 | no | — |
| 999 | C2×C3 | — | 2 | 1 | no | — |
| 1000 | C2×C3 | — | 2 | 1 | no | — |
| 1001 | C2×C3 | #24338 | 1 | 1 | yes | characteristic |
| 1002 | D3 | — | 8 | 4 | no | — |
| 1003 | D3 | — | 16 | 1 | no | — |
| 1004 | C22 | — | 4 | 1 | no | — |
| 1005 | C22 | — | 12 | 4 | no | — |
| 1006 | C22 | — | 24 | 2 | no | — |
| 1007 | C22 | — | 24 | 2 | no | — |
| 1008 | C22 | — | 24 | 1 | no | — |
| 1009 | C22 | — | 48 | 2 | no | — |
| 1010 | C22 | — | 48 | 2 | no | — |
| 1011 | C22 | — | 48 | 1 | no | — |
| 1012 | C22 | #78637 | 1 | 1 | yes | characteristic |
| 1013 | C22 | #79973 | 1 | 1 | yes | characteristic |
| 1014 | C22 | #79975 | 1 | 1 | yes | characteristic |
| 1015 | C4 | — | 4 | 1 | no | — |
| 1016 | C4 | — | 4 | 1 | no | — |
| 1017 | C4 | — | 4 | 2 | no | — |
| 1018 | C4 | — | 4 | 2 | no | — |
| 1019 | C4 | — | 24 | 2 | no | — |
| 1020 | C4 | — | 24 | 1 | no | — |
| 1021 | C4 | — | 24 | 1 | no | — |
| 1022 | C4 | — | 24 | 1 | no | — |
| 1023 | C4 | — | 24 | 1 | no | — |
| 1024 | C4 | — | 24 | 1 | no | — |
| 1025 | C4 | — | 48 | 1 | no | — |
| 1026 | C4 | #76619 | 1 | 1 | yes | characteristic |
| 1027 | C4 | #78678 | 1 | 1 | yes | characteristic |
| 1028 | C4 | #79973 | 1 | 1 | yes | characteristic |
| 1029 | C4 | #79975 | 1 | 1 | yes | characteristic |
| 1030 | C3 | #500940 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1031 | C2 | — | 2 | 1 | no | — |
| 1032 | C2 | — | 2 | 1 | no | — |
| 1033 | C2 | — | 2 | 1 | no | — |
| 1034 | C2 | — | 24 | 4 | no | — |
| 1035 | C2 | — | 48 | 1 | no | — |
| 1036 | C2 | #10831709 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11675927 | C2 | semidirect |
| 2. #10949938 | C2 | semidirect |
| 4. #10896457 | C2 | semidirect |
| 5. #10714851 | C2 | semidirect |
| 6. #10714846 | C2 | semidirect |
| 7. #10714311 | C2 | semidirect |
| 8. #10714306 | C2 | semidirect |
| 9. #10713825 | C2 | semidirect |
| 12. #10711929 | C2 | semidirect |
| 13. #10711908 | C2 | semidirect |
| 14. #10711304 | C2 | semidirect |
| 15. C3×#13269 | C2 | semidirect |
| 77. #13269 | D3 | semidirect |
| 136. C2×#800 | Q8 | semidirect |
| 137. C2×D48 | Q8 | semidirect |
| 269. C2×Dic12 | C2×Q8 | semidirect |
| 279. C2×D24 | C2×Q8 | semidirect |
| 336. C2×C3×C16 | C2×Q8 | semidirect |
| 699. C2×C16 | D3×Q8 | semidirect |
| 1030. C3 | #500940 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11675927 | 2 |
| #10949938 | 2 |
| #10948664 | 2 |
| #10896457 | 2 |
| #10714851 | 2 |
| #10714846 | 2 |
| #10714311 | 2 |
| #10714306 | 2 |
| #10713825 | 2 |
| #10712418 | 2 |
| #10712390 | 2 |
| #10711929 | 2 |
| #10711908 | 2 |
| #10711304 | 2 |
| C3×#13269 | 2 |
| #500940 | 3 |