Finite Group DatabasebetaFinite Group DatabasebetaOrder 2048.
2031 conjugacy classes of subgroups.
The subgroup lattice has 1255 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72227112 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72227099 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #72227086 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #72227070 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #72227048 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72227010 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72226975 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #72225572 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #72224948 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #72223669 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #72223669 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #72217203 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #72216451 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C2×AGL(1,ℤ/32) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C2×AGL(1,ℤ/32) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #7622628 | C22 | 1 | 1 | yes | characteristic |
| 17 | #7622588 | — | 2 | 1 | no | — |
| 18 | #512851 | C4 | 1 | 1 | yes | characteristic |
| 19 | C2×#13658 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#13658 | C22 | 1 | 1 | yes | characteristic |
| 21 | #495891 | C22 | 1 | 1 | yes | characteristic |
| 22 | #483601 | — | 2 | 2 | no | — |
| 23 | #483601 | C22 | 1 | 1 | yes | characteristic |
| 24 | #483601 | C22 | 1 | 1 | yes | characteristic |
| 25 | #483600 | — | 2 | 1 | no | — |
| 26 | #483600 | — | 2 | 2 | no | — |
| 27 | #483599 | — | 2 | 1 | no | — |
| 28 | #483599 | — | 2 | 2 | no | — |
| 29 | C2×#12068 | — | 2 | 2 | no | — |
| 30 | C2×#12068 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×#12068 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×#12067 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #483327 | C22 | 1 | 1 | yes | characteristic |
| 34 | #481073 | — | 2 | 1 | no | — |
| 35 | #479908 | C22 | 1 | 1 | yes | characteristic |
| 36 | #211042 | — | 2 | 1 | no | — |
| 37 | #152544 | C4 | 1 | 1 | yes | characteristic |
| 38 | #152541 | C4 | 1 | 1 | yes | characteristic |
| 39 | #152516 | C4 | 1 | 1 | yes | characteristic |
| 40 | #152450 | C4 | 1 | 1 | yes | characteristic |
| 41 | #152446 | C4 | 1 | 1 | yes | characteristic |
| 42 | #152431 | C4 | 1 | 1 | yes | characteristic |
| 43 | #152178 | C4 | 1 | 1 | yes | characteristic |
| 44 | #151973 | C22 | 1 | 1 | yes | characteristic |
| 45 | #151973 | C22 | 1 | 1 | yes | characteristic |
| 46 | #151895 | C22 | 1 | 1 | yes | characteristic |
| 47 | #151895 | C22 | 1 | 1 | yes | characteristic |
| 48 | AGL(1,ℤ/32) | — | 2 | 2 | no | — |
| 49 | AGL(1,ℤ/32) | — | 2 | 2 | no | — |
| 50 | AGL(1,ℤ/32) | — | 2 | 2 | no | — |
| 51 | AGL(1,ℤ/32) | — | 2 | 2 | no | — |
| 52 | C2×#7457 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | C2×#7457 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | C2×#7390 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | C2×#7390 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #150071 | C22 | 1 | 1 | yes | characteristic |
| 57 | #150071 | C22 | 1 | 1 | yes | characteristic |
| 58 | C2×#7389 | C22 | 1 | 1 | yes | characteristic |
| 59 | C2×#7389 | C22 | 1 | 1 | yes | characteristic |
| 60 | C2×#7333 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | C2×#7333 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | #140747 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | #140355 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #140190 | — | 2 | 1 | no | — |
| 65 | #137615 | — | 2 | 1 | no | — |
| 66 | #134661 | C22 | 1 | 1 | yes | characteristic |
| 67 | #129166 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | #128692 | — | 2 | 1 | no | — |
| 69 | #94058 | C22 | 1 | 1 | yes | characteristic, complemented |
| 70 | #94058 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | #94031 | C22 | 1 | 1 | yes | characteristic, complemented |
| 72 | #94031 | C22 | 1 | 1 | yes | characteristic, complemented |
| 73 | #93996 | C22 | 1 | 1 | yes | characteristic, complemented |
| 74 | #93995 | C22 | 1 | 1 | yes | characteristic, complemented |
| 75 | #62635 | C2×C4 | 1 | 1 | yes | characteristic |
| 76 | #62624 | — | 4 | 1 | no | — |
| 77 | #60183 | — | 2 | 1 | no | — |
| 78 | C2×#2263 | C2×C4 | 1 | 1 | yes | characteristic |
| 79 | C2×#2263 | C2×C4 | 1 | 1 | yes | characteristic |
| 80 | C2×#2221 | C2×C4 | 1 | 1 | yes | characteristic |
| 81 | #33465 | — | 2 | 2 | no | — |
| 82 | #33465 | C2×C4 | 1 | 1 | yes | characteristic |
| 83 | #33465 | C2×C4 | 1 | 1 | yes | characteristic |
| 84 | #33464 | — | 2 | 2 | no | — |
| 85 | #33464 | — | 2 | 1 | no | — |
| 86 | #33463 | — | 2 | 2 | no | — |
| 87 | #33463 | — | 2 | 1 | no | — |
| 88 | C2×#2179 | — | 2 | 2 | no | — |
| 89 | C2×#2179 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×#2179 | C23 | 1 | 1 | yes | characteristic |
| 91 | C2×#2177 | C23 | 1 | 1 | yes | characteristic |
| 92 | #33443 | — | 2 | 4 | no | — |
| 93 | #33443 | — | 2 | 1 | no | — |
| 94 | #33443 | — | 2 | 1 | no | — |
| 95 | #33442 | — | 4 | 1 | no | — |
| 96 | #33442 | — | 4 | 2 | no | — |
| 97 | #33441 | — | 4 | 1 | no | — |
| 98 | #33441 | — | 4 | 2 | no | — |
| 99 | C2×#2171 | — | 2 | 4 | no | — |
| 100 | C2×#2171 | — | 2 | 1 | no | — |
| 101 | C2×#2171 | — | 2 | 1 | no | — |
| 102 | #33414 | C2×C4 | 1 | 1 | yes | characteristic |
| 103 | #33401 | — | 2 | 1 | no | — |
| 104 | #33385 | — | 2 | 1 | no | — |
| 105 | #33340 | — | 4 | 1 | no | — |
| 106 | #33326 | D4 | 1 | 1 | yes | characteristic |
| 107 | #33326 | C23 | 1 | 1 | yes | characteristic |
| 108 | C4×#472 | — | 2 | 1 | no | — |
| 109 | C8×AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 110 | C2×#1580 | — | 2 | 1 | no | — |
| 111 | #17316 | D4 | 1 | 1 | yes | characteristic |
| 112 | #13670 | C8 | 1 | 4 | yes | complemented |
| 113 | #13669 | C8 | 1 | 4 | yes | complemented |
| 114 | #13658 | — | 2 | 2 | no | — |
| 115 | #13658 | — | 2 | 2 | no | — |
| 116 | #13658 | — | 2 | 2 | no | — |
| 117 | #13658 | — | 2 | 2 | no | — |
| 118 | C2×#1426 | C2×C4 | 1 | 1 | yes | characteristic |
| 119 | C2×#1426 | C2×C4 | 1 | 1 | yes | characteristic |
| 120 | #13625 | C2×C4 | 1 | 1 | yes | characteristic |
| 121 | #13625 | C2×C4 | 1 | 1 | yes | characteristic |
| 122 | C2×#1419 | C2×C4 | 1 | 1 | yes | characteristic |
| 123 | C2×#1419 | C2×C4 | 1 | 1 | yes | characteristic |
| 124 | C2×#1418 | C2×C4 | 1 | 1 | yes | characteristic |
| 125 | C2×#1418 | C2×C4 | 1 | 1 | yes | characteristic |
| 126 | #13620 | C2×C4 | 1 | 1 | yes | characteristic |
| 127 | #13620 | C2×C4 | 1 | 1 | yes | characteristic |
| 128 | #13558 | — | 2 | 1 | no | — |
| 129 | #13558 | C2×C4 | 1 | 1 | yes | characteristic |
| 130 | #13558 | C2×C4 | 1 | 1 | yes | characteristic |
| 131 | C2×#1398 | C23 | 1 | 1 | yes | characteristic |
| 132 | C2×#1398 | C23 | 1 | 1 | yes | characteristic |
| 133 | C2×#1398 | C23 | 1 | 1 | yes | characteristic |
| 134 | C2×#1398 | C23 | 1 | 1 | yes | characteristic |
| 135 | #13245 | C2×C4 | 1 | 1 | yes | characteristic |
| 136 | #13172 | C2×C4 | 1 | 1 | yes | characteristic |
| 137 | #13144 | — | 2 | 1 | no | — |
| 138 | #13073 | — | 2 | 1 | no | — |
| 139 | #12843 | C2×C4 | 1 | 1 | yes | characteristic |
| 140 | #12676 | C23 | 1 | 1 | yes | characteristic |
| 141 | C4×#361 | — | 2 | 1 | no | — |
| 142 | #12068 | — | 2 | 4 | no | — |
| 143 | #12068 | — | 2 | 4 | no | — |
| 144 | #12068 | — | 2 | 4 | no | — |
| 145 | #12068 | — | 2 | 4 | no | — |
| 146 | #12068 | — | 2 | 2 | no | — |
| 147 | #12068 | — | 2 | 2 | no | — |
| 148 | #12068 | — | 2 | 2 | no | — |
| 149 | #12068 | — | 2 | 2 | no | — |
| 150 | #12068 | — | 2 | 1 | no | — |
| 151 | #12068 | — | 2 | 1 | no | — |
| 152 | #12068 | — | 2 | 1 | no | — |
| 153 | #12068 | — | 2 | 1 | no | — |
| 154 | #12068 | D4 | 1 | 2 | yes | — |
| 155 | #12068 | D4 | 1 | 2 | yes | — |
| 156 | #12068 | D4 | 1 | 2 | yes | — |
| 157 | #12068 | D4 | 1 | 2 | yes | — |
| 158 | #12067 | — | 2 | 1 | no | — |
| 159 | #12067 | — | 2 | 1 | no | — |
| 160 | #12067 | — | 2 | 1 | no | — |
| 161 | #12067 | — | 2 | 1 | no | — |
| 162 | #12002 | — | 2 | 2 | no | — |
| 163 | #12002 | — | 2 | 1 | no | — |
| 164 | C2×#1369 | — | 2 | 2 | no | — |
| 165 | C2×#1369 | C23 | 1 | 1 | yes | characteristic |
| 166 | C2×#1369 | C23 | 1 | 1 | yes | characteristic |
| 167 | #11999 | C23 | 1 | 1 | yes | characteristic |
| 168 | C2×#1368 | C23 | 1 | 1 | yes | characteristic |
| 169 | #11604 | — | 2 | 4 | no | — |
| 170 | #11604 | — | 2 | 1 | no | — |
| 171 | #11604 | — | 2 | 1 | no | — |
| 172 | C2×#1336 | — | 2 | 4 | no | — |
| 173 | C2×#1336 | — | 2 | 1 | no | — |
| 174 | C2×#1336 | — | 2 | 1 | no | — |
| 175 | C2×#1333 | — | 2 | 1 | no | — |
| 176 | #11593 | — | 2 | 1 | no | — |
| 177 | #11406 | — | 2 | 1 | no | — |
| 178 | #11406 | D4 | 1 | 1 | yes | characteristic |
| 179 | #11405 | — | 2 | 1 | no | — |
| 180 | #11405 | C23 | 1 | 1 | yes | characteristic |
| 181 | #11404 | — | 2 | 1 | no | — |
| 182 | #11404 | D4 | 1 | 1 | yes | characteristic |
| 183 | C2×#1313 | — | 2 | 1 | no | — |
| 184 | C2×#1313 | C23 | 1 | 1 | yes | characteristic |
| 185 | #9668 | — | 2 | 1 | no | — |
| 186 | #9607 | — | 2 | 1 | no | — |
| 187 | #9550 | — | 4 | 1 | no | — |
| 188 | #9095 | — | 4 | 1 | no | — |
| 189 | #8604 | — | 2 | 1 | no | — |
| 190 | #8294 | — | 2 | 1 | no | — |
| 191 | C8×#100 | — | 4 | 1 | no | — |
| 192 | #7479 | C2×C4 | 1 | 1 | yes | characteristic |
| 193 | #7479 | C2×C4 | 1 | 1 | yes | characteristic |
| 194 | #7476 | C2×C4 | 1 | 1 | yes | characteristic |
| 195 | #7476 | C2×C4 | 1 | 1 | yes | characteristic |
| 196 | #7469 | — | 2 | 1 | no | — |
| 197 | #7469 | C2×C4 | 1 | 1 | yes | characteristic |
| 198 | #7469 | C2×C4 | 1 | 1 | yes | characteristic |
| 199 | #7457 | — | 2 | 2 | no | — |
| 200 | #7457 | — | 2 | 2 | no | — |
| 201 | #7390 | — | 2 | 2 | no | — |
| 202 | #7390 | — | 2 | 2 | no | — |
| 203 | #7389 | — | 2 | 2 | no | — |
| 204 | #7389 | — | 2 | 2 | no | — |
| 205 | #7389 | — | 2 | 2 | no | — |
| 206 | #7389 | — | 2 | 2 | no | — |
| 207 | #7333 | — | 2 | 1 | no | — |
| 208 | #7333 | — | 2 | 1 | no | — |
| 209 | #7333 | — | 2 | 1 | no | — |
| 210 | #7333 | — | 2 | 1 | no | — |
| 211 | #7177 | — | 2 | 1 | no | — |
| 212 | #7173 | — | 2 | 1 | no | — |
| 213 | #7158 | — | 2 | 1 | no | — |
| 214 | #3584 | — | 2 | 1 | no | — |
| 215 | #3573 | — | 4 | 1 | no | — |
| 216 | #3417 | — | 2 | 1 | no | — |
| 217 | #3417 | C2×C8 | 1 | 2 | yes | complemented |
| 218 | #3416 | — | 2 | 2 | no | — |
| 219 | #3416 | — | 2 | 2 | no | — |
| 220 | #3415 | — | 2 | 1 | no | — |
| 221 | #3415 | C2×C8 | 1 | 2 | yes | complemented |
| 222 | #3414 | — | 2 | 2 | no | — |
| 223 | #3414 | — | 2 | 1 | no | — |
| 224 | C2×#508 | — | 2 | 2 | no | — |
| 225 | C2×#508 | C22×C4 | 1 | 1 | yes | characteristic |
| 226 | C2×#508 | C22×C4 | 1 | 1 | yes | characteristic |
| 227 | C22×D16 | C22×C4 | 1 | 1 | yes | characteristic |
| 228 | #3407 | — | 4 | 4 | no | — |
| 229 | #3407 | — | 4 | 1 | no | — |
| 230 | #3407 | — | 4 | 1 | no | — |
| 231 | #3407 | — | 4 | 1 | no | — |
| 232 | #3407 | — | 8 | 2 | no | — |
| 233 | #3407 | — | 8 | 2 | no | — |
| 234 | C2×#504 | — | 2 | 1 | no | — |
| 235 | C2×#504 | — | 4 | 4 | no | — |
| 236 | C2×#504 | — | 4 | 1 | no | — |
| 237 | C2×#504 | — | 4 | 1 | no | — |
| 238 | C2×#504 | — | 8 | 2 | no | — |
| 239 | C2×#504 | — | 8 | 2 | no | — |
| 240 | C2×#504 | C22×C4 | 1 | 1 | yes | characteristic |
| 241 | C2×#504 | #41 | 1 | 1 | yes | characteristic |
| 242 | C2×#472 | — | 2 | 1 | no | — |
| 243 | C8×#41 | — | 2 | 1 | no | — |
| 244 | #2957 | — | 2 | 4 | no | — |
| 245 | #2957 | — | 2 | 1 | no | — |
| 246 | #2957 | — | 2 | 1 | no | — |
| 247 | #2956 | — | 4 | 2 | no | — |
| 248 | #2956 | — | 4 | 1 | no | — |
| 249 | #2955 | — | 4 | 2 | no | — |
| 250 | #2955 | — | 4 | 1 | no | — |
| 251 | C2×#443 | — | 2 | 4 | no | — |
| 252 | C2×#443 | — | 2 | 1 | no | — |
| 253 | C2×#443 | — | 2 | 1 | no | — |
| 254 | C4×AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 255 | C2×C4×D8 | — | 2 | 1 | no | — |
| 256 | C2×C8×D4 | — | 4 | 1 | no | — |
| 257 | #2916 | — | 2 | 1 | no | — |
| 258 | #2901 | — | 4 | 1 | no | — |
| 259 | C4×#131 | C2×D4 | 1 | 1 | yes | characteristic |
| 260 | #2263 | — | 2 | 2 | no | — |
| 261 | #2263 | — | 2 | 2 | no | — |
| 262 | #2263 | — | 2 | 2 | no | — |
| 263 | #2263 | C2×C8 | 1 | 4 | yes | complemented |
| 264 | C2×SD64 | — | 2 | 1 | no | — |
| 265 | C2×SD64 | C2×C8 | 1 | 2 | yes | complemented |
| 266 | C2×D32 | — | 2 | 1 | no | — |
| 267 | C2×D32 | C2×C8 | 1 | 2 | yes | complemented |
| 268 | C2×M64 | — | 2 | 1 | no | — |
| 269 | C2×M64 | — | 2 | 1 | no | — |
| 270 | C2×M64 | C22×C4 | 1 | 1 | yes | characteristic |
| 271 | C2×M64 | C22×C4 | 1 | 1 | yes | characteristic |
| 272 | C2×M64 | C22×C4 | 1 | 1 | yes | characteristic |
| 273 | C2×M64 | C22×C4 | 1 | 1 | yes | characteristic |
| 274 | #2221 | — | 2 | 2 | no | — |
| 275 | #2221 | C2×C8 | 1 | 4 | yes | — |
| 276 | #2179 | — | 2 | 4 | no | — |
| 277 | #2179 | — | 2 | 4 | no | — |
| 278 | #2179 | — | 2 | 2 | no | — |
| 279 | #2179 | — | 2 | 2 | no | — |
| 280 | #2179 | — | 2 | 1 | no | — |
| 281 | #2179 | — | 2 | 1 | no | — |
| 282 | #2179 | — | 2 | 1 | no | — |
| 283 | #2179 | — | 2 | 1 | no | — |
| 284 | #2179 | C2×D4 | 1 | 2 | yes | — |
| 285 | #2179 | C2×D4 | 1 | 2 | yes | — |
| 286 | #2179 | #41 | 1 | 2 | yes | — |
| 287 | #2179 | #41 | 1 | 2 | yes | — |
| 288 | #2178 | — | 2 | 4 | no | — |
| 289 | #2178 | — | 2 | 4 | no | — |
| 290 | #2178 | — | 2 | 2 | no | — |
| 291 | #2178 | — | 2 | 2 | no | — |
| 292 | #2177 | — | 2 | 1 | no | — |
| 293 | #2177 | — | 2 | 1 | no | — |
| 294 | #2177 | — | 2 | 1 | no | — |
| 295 | #2177 | — | 2 | 1 | no | — |
| 296 | #2171 | — | 2 | 4 | no | — |
| 297 | #2171 | — | 2 | 4 | no | — |
| 298 | #2171 | — | 2 | 2 | no | — |
| 299 | #2171 | — | 2 | 2 | no | — |
| 300 | #2171 | — | 2 | 2 | no | — |
| 301 | #2171 | — | 2 | 2 | no | — |
| 302 | #2171 | — | 4 | 4 | no | — |
| 303 | #2171 | — | 4 | 1 | no | — |
| 304 | #2171 | — | 4 | 1 | no | — |
| 305 | #2171 | — | 4 | 4 | no | — |
| 306 | #2171 | — | 4 | 1 | no | — |
| 307 | #2171 | — | 4 | 1 | no | — |
| 308 | #2170 | — | 4 | 4 | no | — |
| 309 | #2170 | — | 4 | 4 | no | — |
| 310 | #2170 | — | 4 | 2 | no | — |
| 311 | #2170 | — | 4 | 2 | no | — |
| 312 | #2161 | — | 2 | 1 | no | — |
| 313 | #2161 | — | 2 | 2 | no | — |
| 314 | C2×#368 | — | 2 | 2 | no | — |
| 315 | C2×#368 | C22×C4 | 1 | 1 | yes | characteristic |
| 316 | C2×#368 | C22×C4 | 1 | 1 | yes | characteristic |
| 317 | C2×#368 | C22×C4 | 1 | 1 | yes | characteristic |
| 318 | C2×#368 | C22×C4 | 1 | 1 | yes | characteristic |
| 319 | C2×#367 | C22×C4 | 1 | 1 | yes | characteristic |
| 320 | #2153 | — | 4 | 2 | no | — |
| 321 | #2153 | — | 4 | 1 | no | — |
| 322 | C2×#364 | — | 2 | 4 | no | — |
| 323 | C2×#364 | — | 2 | 1 | no | — |
| 324 | C2×#364 | — | 2 | 1 | no | — |
| 325 | C2×#361 | — | 2 | 1 | no | — |
| 326 | C2×#361 | — | 2 | 1 | no | — |
| 327 | #2143 | — | 2 | 4 | no | — |
| 328 | #2143 | — | 2 | 1 | no | — |
| 329 | #2143 | — | 2 | 1 | no | — |
| 330 | C2×#359 | — | 2 | 4 | no | — |
| 331 | C2×#359 | — | 2 | 1 | no | — |
| 332 | C2×#359 | — | 2 | 1 | no | — |
| 333 | C2×#357 | — | 2 | 1 | no | — |
| 334 | #2117 | — | 4 | 4 | no | — |
| 335 | #2117 | — | 4 | 1 | no | — |
| 336 | #2117 | — | 4 | 1 | no | — |
| 337 | C2×#350 | — | 4 | 4 | no | — |
| 338 | C2×#350 | — | 4 | 1 | no | — |
| 339 | C2×#350 | — | 4 | 1 | no | — |
| 340 | #2108 | — | 2 | 1 | no | — |
| 341 | #2108 | — | 2 | 1 | no | — |
| 342 | #2108 | — | 2 | 1 | no | — |
| 343 | #2108 | — | 2 | 2 | no | — |
| 344 | #2108 | C22×C4 | 1 | 1 | yes | characteristic |
| 345 | #2108 | #41 | 1 | 1 | yes | characteristic |
| 346 | C4×M32 | — | 2 | 1 | no | — |
| 347 | C4×M32 | — | 2 | 1 | no | — |
| 348 | C4×M32 | C2×D4 | 1 | 1 | yes | characteristic |
| 349 | C4×M32 | C2×D4 | 1 | 1 | yes | characteristic |
| 350 | C2×#346 | — | 2 | 1 | no | — |
| 351 | C2×#346 | — | 2 | 1 | no | — |
| 352 | C2×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 353 | C2×#346 | C24 | 1 | 1 | yes | characteristic |
| 354 | #1978 | — | 2 | 1 | no | — |
| 355 | #1952 | — | 2 | 1 | no | — |
| 356 | #1931 | — | 4 | 1 | no | — |
| 357 | #1907 | — | 4 | 1 | no | — |
| 358 | #1816 | — | 2 | 1 | no | — |
| 359 | C4×#108 | — | 2 | 1 | no | — |
| 360 | C4×#100 | — | 4 | 1 | no | — |
| 361 | #1580 | — | 4 | 1 | no | — |
| 362 | #1580 | — | 4 | 1 | no | — |
| 363 | #1580 | — | 4 | 1 | no | — |
| 364 | #1580 | — | 4 | 1 | no | — |
| 365 | #1580 | — | 8 | 1 | no | — |
| 366 | SD16⋊C8 | — | 8 | 1 | no | — |
| 367 | C8×SD16 | — | 8 | 1 | no | — |
| 368 | C8×D8 | — | 8 | 1 | no | — |
| 369 | #1565 | — | 4 | 1 | no | — |
| 370 | #1564 | — | 2 | 1 | no | — |
| 371 | C2×#334 | — | 2 | 1 | no | — |
| 372 | #1478 | — | 4 | 1 | no | — |
| 373 | #1477 | — | 4 | 1 | no | — |
| 374 | C2×D4⋊C8 | — | 4 | 1 | no | — |
| 375 | #1460 | — | 4 | 1 | no | — |
| 376 | #1450 | — | 2 | 1 | no | — |
| 377 | #1450 | C2×D4 | 1 | 1 | yes | characteristic |
| 378 | C8×M16 | — | 2 | 1 | no | — |
| 379 | C8×M16 | — | 4 | 1 | no | — |
| 380 | C8×M16 | — | 4 | 1 | no | — |
| 381 | C2×#322 | — | 2 | 1 | no | — |
| 382 | C2×#322 | C2×D4 | 1 | 1 | yes | characteristic |
| 383 | #1426 | — | 2 | 2 | no | — |
| 384 | #1426 | — | 2 | 2 | no | — |
| 385 | #1420 | — | 2 | 1 | no | — |
| 386 | #1420 | C2×C8 | 1 | 2 | yes | complemented |
| 387 | #1419 | — | 2 | 1 | no | — |
| 388 | #1419 | — | 2 | 2 | no | — |
| 389 | #1419 | — | 2 | 2 | no | — |
| 390 | #1419 | C2×C8 | 1 | 2 | yes | complemented |
| 391 | #1418 | — | 2 | 2 | no | — |
| 392 | #1418 | — | 2 | 2 | no | — |
| 393 | #1417 | — | 2 | 2 | no | — |
| 394 | #1417 | C2×C8 | 1 | 4 | yes | complemented |
| 395 | #1401 | — | 2 | 2 | no | — |
| 396 | #1401 | — | 4 | 2 | no | — |
| 397 | #1401 | C2×C8 | 1 | 4 | yes | complemented |
| 398 | #1398 | — | 2 | 1 | no | — |
| 399 | #1398 | — | 2 | 1 | no | — |
| 400 | #1398 | — | 2 | 1 | no | — |
| 401 | #1398 | — | 2 | 1 | no | — |
| 402 | #1398 | — | 2 | 1 | no | — |
| 403 | #1398 | — | 2 | 1 | no | — |
| 404 | #1398 | — | 2 | 1 | no | — |
| 405 | #1398 | — | 2 | 1 | no | — |
| 406 | #1387 | — | 2 | 1 | no | — |
| 407 | #1387 | — | 2 | 1 | no | — |
| 408 | #1381 | — | 2 | 1 | no | — |
| 409 | #1369 | — | 2 | 4 | no | — |
| 410 | #1369 | — | 2 | 1 | no | — |
| 411 | #1369 | — | 2 | 1 | no | — |
| 412 | #1369 | C2×D4 | 1 | 2 | yes | — |
| 413 | #1369 | C2×D4 | 1 | 2 | yes | — |
| 414 | #1368 | — | 2 | 1 | no | — |
| 415 | #1368 | — | 2 | 1 | no | — |
| 416 | #1368 | — | 2 | 1 | no | — |
| 417 | #1368 | — | 2 | 1 | no | — |
| 418 | #1336 | — | 2 | 4 | no | — |
| 419 | #1336 | — | 2 | 4 | no | — |
| 420 | #1336 | — | 2 | 2 | no | — |
| 421 | #1336 | — | 2 | 2 | no | — |
| 422 | #1336 | — | 2 | 2 | no | — |
| 423 | #1336 | — | 2 | 2 | no | — |
| 424 | #1333 | — | 4 | 1 | no | — |
| 425 | #1333 | — | 4 | 1 | no | — |
| 426 | #1331 | — | 4 | 2 | no | — |
| 427 | #1313 | — | 2 | 1 | no | — |
| 428 | #1313 | — | 2 | 1 | no | — |
| 429 | #1313 | — | 2 | 1 | no | — |
| 430 | #1313 | — | 2 | 1 | no | — |
| 431 | #1313 | — | 2 | 1 | no | — |
| 432 | #1313 | — | 2 | 1 | no | — |
| 433 | #1313 | C2×D4 | 1 | 1 | yes | characteristic |
| 434 | #1313 | C2×D4 | 1 | 1 | yes | characteristic |
| 435 | #1313 | C2×D4 | 1 | 1 | yes | characteristic |
| 436 | #1313 | C2×D4 | 1 | 1 | yes | characteristic |
| 437 | #1283 | — | 4 | 1 | no | — |
| 438 | #1283 | — | 4 | 1 | no | — |
| 439 | #1278 | — | 4 | 1 | no | — |
| 440 | #585 | — | 4 | 1 | no | — |
| 441 | #578 | — | 2 | 2 | no | — |
| 442 | #578 | — | 2 | 2 | no | — |
| 443 | #577 | — | 4 | 2 | no | — |
| 444 | #577 | — | 4 | 2 | no | — |
| 445 | #576 | — | 2 | 2 | no | — |
| 446 | #576 | — | 2 | 2 | no | — |
| 447 | #575 | — | 4 | 2 | no | — |
| 448 | #575 | — | 4 | 1 | no | — |
| 449 | C2×AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 450 | C2×#135 | — | 2 | 4 | no | — |
| 451 | C2×#135 | — | 2 | 1 | no | — |
| 452 | C2×#135 | — | 2 | 1 | no | — |
| 453 | C22×D8 | — | 2 | 1 | no | — |
| 454 | #568 | — | 4 | 4 | no | — |
| 455 | #568 | — | 4 | 1 | no | — |
| 456 | #568 | — | 4 | 1 | no | — |
| 457 | #568 | — | 4 | 1 | no | — |
| 458 | #568 | — | 8 | 2 | no | — |
| 459 | #568 | — | 8 | 2 | no | — |
| 460 | C2×#131 | — | 4 | 4 | no | — |
| 461 | C2×#131 | — | 4 | 1 | no | — |
| 462 | C2×#131 | — | 4 | 1 | no | — |
| 463 | C2×#131 | — | 8 | 2 | no | — |
| 464 | C2×#131 | — | 8 | 2 | no | — |
| 465 | C2×#131 | C4×D4 | 1 | 1 | yes | characteristic |
| 466 | C2×#131 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 467 | C23×C8 | — | 8 | 1 | no | — |
| 468 | C4×#41 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 469 | C2×C4×D4 | — | 4 | 1 | no | — |
| 470 | #510 | — | 2 | 2 | no | — |
| 471 | #510 | — | 2 | 4 | no | — |
| 472 | #510 | — | 2 | 4 | no | — |
| 473 | #510 | — | 2 | 2 | no | — |
| 474 | #509 | — | 2 | 2 | no | — |
| 475 | #509 | — | 2 | 4 | no | — |
| 476 | #509 | — | 2 | 4 | no | — |
| 477 | #509 | — | 2 | 2 | no | — |
| 478 | #508 | — | 2 | 4 | no | — |
| 479 | #508 | — | 2 | 4 | no | — |
| 480 | #508 | — | 2 | 2 | no | — |
| 481 | #508 | — | 2 | 2 | no | — |
| 482 | #508 | — | 2 | 1 | no | — |
| 483 | #508 | — | 2 | 1 | no | — |
| 484 | #508 | — | 2 | 1 | no | — |
| 485 | #508 | — | 2 | 1 | no | — |
| 486 | #508 | C4×D4 | 1 | 2 | yes | — |
| 487 | #508 | C4×D4 | 1 | 2 | yes | — |
| 488 | #508 | C22×C8 | 1 | 2 | yes | — |
| 489 | #508 | #131 | 1 | 2 | yes | — |
| 490 | C2×Q32 | — | 2 | 2 | no | — |
| 491 | C2×Q32 | C22×C8 | 1 | 1 | yes | characteristic |
| 492 | C2×Q32 | #131 | 1 | 1 | yes | characteristic |
| 493 | C2×SD32 | — | 2 | 4 | no | — |
| 494 | C2×SD32 | — | 2 | 1 | no | — |
| 495 | C2×SD32 | — | 2 | 1 | no | — |
| 496 | C2×D16 | — | 2 | 2 | no | — |
| 497 | C2×D16 | — | 2 | 1 | no | — |
| 498 | C2×D16 | — | 2 | 1 | no | — |
| 499 | C2×D16 | — | 2 | 1 | no | — |
| 500 | C2×D16 | — | 2 | 1 | no | — |
| 501 | C2×D16 | — | 2 | 1 | no | — |
| 502 | C2×D16 | C22×C8 | 1 | 2 | yes | — |
| 503 | C2×D16 | C22×C8 | 1 | 1 | yes | characteristic |
| 504 | C2×D16 | #131 | 1 | 1 | yes | characteristic |
| 505 | #504 | — | 2 | 1 | no | — |
| 506 | #504 | — | 2 | 1 | no | — |
| 507 | #504 | — | 2 | 2 | no | — |
| 508 | #504 | — | 4 | 1 | no | — |
| 509 | #504 | — | 4 | 2 | no | — |
| 510 | #504 | — | 4 | 2 | no | — |
| 511 | #504 | — | 4 | 2 | no | — |
| 512 | #504 | — | 4 | 2 | no | — |
| 513 | #504 | — | 4 | 4 | no | — |
| 514 | #504 | — | 4 | 4 | no | — |
| 515 | #504 | — | 4 | 2 | no | — |
| 516 | #504 | — | 4 | 2 | no | — |
| 517 | #504 | — | 8 | 4 | no | — |
| 518 | #504 | — | 8 | 1 | no | — |
| 519 | #504 | — | 8 | 1 | no | — |
| 520 | #504 | — | 8 | 4 | no | — |
| 521 | #504 | — | 8 | 1 | no | — |
| 522 | #504 | — | 8 | 1 | no | — |
| 523 | #504 | — | 8 | 4 | no | — |
| 524 | #504 | — | 8 | 4 | no | — |
| 525 | #504 | — | 8 | 2 | no | — |
| 526 | #504 | — | 8 | 2 | no | — |
| 527 | #504 | — | 8 | 2 | no | — |
| 528 | #504 | — | 8 | 2 | no | — |
| 529 | #504 | C22×C8 | 1 | 2 | yes | — |
| 530 | #504 | #131 | 1 | 2 | yes | — |
| 531 | C2×M32 | — | 2 | 2 | no | — |
| 532 | C2×M32 | — | 2 | 1 | no | — |
| 533 | C2×M32 | — | 2 | 1 | no | — |
| 534 | C2×M32 | — | 2 | 1 | no | — |
| 535 | C2×M32 | — | 4 | 4 | no | — |
| 536 | C2×M32 | — | 4 | 1 | no | — |
| 537 | C2×M32 | — | 4 | 1 | no | — |
| 538 | C2×M32 | — | 8 | 4 | no | — |
| 539 | C2×M32 | — | 8 | 1 | no | — |
| 540 | C2×M32 | — | 8 | 1 | no | — |
| 541 | C2×M32 | — | 8 | 4 | no | — |
| 542 | C2×M32 | — | 8 | 4 | no | — |
| 543 | C2×M32 | — | 8 | 2 | no | — |
| 544 | C2×M32 | — | 8 | 2 | no | — |
| 545 | C2×M32 | C4×D4 | 1 | 1 | yes | characteristic |
| 546 | C2×M32 | C4×D4 | 1 | 1 | yes | characteristic |
| 547 | C22×C16 | — | 2 | 1 | no | — |
| 548 | C22×C16 | — | 2 | 2 | no | — |
| 549 | C22×C16 | — | 2 | 1 | no | — |
| 550 | C22×C16 | — | 2 | 1 | no | — |
| 551 | C22×C16 | — | 8 | 4 | no | — |
| 552 | C22×C16 | — | 8 | 1 | no | — |
| 553 | C22×C16 | — | 8 | 1 | no | — |
| 554 | C22×C16 | C23×C4 | 1 | 1 | yes | characteristic |
| 555 | C22×C16 | C2×#41 | 1 | 1 | yes | characteristic |
| 556 | #472 | — | 2 | 4 | no | — |
| 557 | #472 | — | 4 | 2 | no | — |
| 558 | C8×Q8 | — | 4 | 1 | no | — |
| 559 | #444 | — | 4 | 4 | no | — |
| 560 | #444 | — | 4 | 2 | no | — |
| 561 | #444 | — | 4 | 2 | no | — |
| 562 | #444 | — | 4 | 4 | no | — |
| 563 | #443 | — | 2 | 4 | no | — |
| 564 | #443 | — | 2 | 4 | no | — |
| 565 | #443 | — | 2 | 2 | no | — |
| 566 | #443 | — | 2 | 2 | no | — |
| 567 | #443 | — | 2 | 2 | no | — |
| 568 | #443 | — | 2 | 2 | no | — |
| 569 | #443 | — | 4 | 4 | no | — |
| 570 | #443 | — | 4 | 4 | no | — |
| 571 | #443 | — | 4 | 1 | no | — |
| 572 | #443 | — | 4 | 1 | no | — |
| 573 | #443 | — | 4 | 1 | no | — |
| 574 | #443 | — | 4 | 1 | no | — |
| 575 | #442 | — | 8 | 1 | no | — |
| 576 | #440 | — | 8 | 1 | no | — |
| 577 | C4×SD16 | — | 8 | 1 | no | — |
| 578 | C4×D8 | — | 4 | 1 | no | — |
| 579 | C4×D8 | — | 4 | 1 | no | — |
| 580 | C4×D8 | — | 4 | 1 | no | — |
| 581 | C4×D8 | — | 4 | 1 | no | — |
| 582 | C4×D8 | — | 8 | 1 | no | — |
| 583 | C8×D4 | — | 4 | 1 | no | — |
| 584 | C8×D4 | — | 8 | 1 | no | — |
| 585 | C8×D4 | — | 8 | 1 | no | — |
| 586 | C8×D4 | — | 8 | 1 | no | — |
| 587 | C8×D4 | — | 8 | 1 | no | — |
| 588 | C8×D4 | — | 8 | 1 | no | — |
| 589 | #431 | — | 2 | 1 | no | — |
| 590 | #431 | — | 4 | 1 | no | — |
| 591 | #431 | — | 4 | 1 | no | — |
| 592 | #430 | — | 4 | 2 | no | — |
| 593 | #430 | — | 4 | 1 | no | — |
| 594 | C2×#108 | — | 2 | 4 | no | — |
| 595 | C2×#108 | — | 2 | 1 | no | — |
| 596 | C2×#108 | — | 2 | 1 | no | — |
| 597 | C2×#108 | — | 2 | 1 | no | — |
| 598 | C2×#108 | — | 2 | 1 | no | — |
| 599 | #428 | — | 4 | 1 | no | — |
| 600 | C2×#107 | — | 2 | 1 | no | — |
| 601 | C2×C4⋊C8 | — | 4 | 1 | no | — |
| 602 | #421 | — | 4 | 4 | no | — |
| 603 | #421 | — | 4 | 1 | no | — |
| 604 | #421 | — | 4 | 1 | no | — |
| 605 | C2×#104 | — | 4 | 4 | no | — |
| 606 | C2×#104 | — | 4 | 1 | no | — |
| 607 | C2×#104 | — | 4 | 1 | no | — |
| 608 | #418 | — | 4 | 1 | no | — |
| 609 | #417 | — | 4 | 1 | no | — |
| 610 | C2×#102 | — | 4 | 1 | no | — |
| 611 | C2×#100 | — | 4 | 1 | no | — |
| 612 | C2×#100 | — | 4 | 1 | no | — |
| 613 | C2×C22⋊C8 | — | 8 | 1 | no | — |
| 614 | #405 | — | 2 | 1 | no | — |
| 615 | #405 | — | 2 | 1 | no | — |
| 616 | #405 | C4×D4 | 1 | 1 | yes | characteristic |
| 617 | #405 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 618 | C4×M16 | — | 2 | 1 | no | — |
| 619 | C4×M16 | — | 4 | 1 | no | — |
| 620 | C4×M16 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 621 | C2×C4×C8 | — | 2 | 1 | no | — |
| 622 | C2×C4×C8 | — | 2 | 1 | no | — |
| 623 | C2×C4×C8 | — | 4 | 1 | no | — |
| 624 | C2×C4×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 625 | SD64 | — | 2 | 4 | no | — |
| 626 | SD64 | — | 2 | 4 | no | — |
| 627 | D32 | — | 2 | 4 | no | — |
| 628 | D32 | — | 2 | 4 | no | — |
| 629 | M64 | — | 2 | 1 | no | — |
| 630 | M64 | — | 2 | 1 | no | — |
| 631 | M64 | — | 2 | 1 | no | — |
| 632 | M64 | — | 2 | 1 | no | — |
| 633 | M64 | — | 2 | 1 | no | — |
| 634 | M64 | — | 2 | 1 | no | — |
| 635 | M64 | — | 2 | 1 | no | — |
| 636 | M64 | — | 4 | 1 | no | — |
| 637 | M64 | — | 4 | 1 | no | — |
| 638 | M64 | — | 4 | 1 | no | — |
| 639 | M64 | — | 4 | 1 | no | — |
| 640 | M64 | C22×C8 | 1 | 2 | yes | — |
| 641 | C2×C32 | — | 2 | 1 | no | — |
| 642 | C2×C32 | — | 2 | 1 | no | — |
| 643 | C2×C32 | — | 2 | 1 | no | — |
| 644 | C2×C32 | — | 4 | 1 | no | — |
| 645 | C2×C32 | — | 4 | 1 | no | — |
| 646 | C2×C32 | C22×C8 | 1 | 2 | yes | — |
| 647 | #368 | — | 2 | 4 | no | — |
| 648 | #368 | — | 2 | 1 | no | — |
| 649 | #368 | — | 2 | 1 | no | — |
| 650 | #368 | — | 2 | 1 | no | — |
| 651 | #368 | — | 2 | 1 | no | — |
| 652 | #368 | — | 2 | 1 | no | — |
| 653 | #368 | C4×D4 | 1 | 2 | yes | — |
| 654 | #368 | C4×D4 | 1 | 2 | yes | — |
| 655 | #368 | C22×C8 | 1 | 2 | yes | — |
| 656 | #367 | — | 2 | 1 | no | — |
| 657 | #367 | — | 2 | 1 | no | — |
| 658 | #364 | — | 2 | 2 | no | — |
| 659 | #364 | — | 2 | 2 | no | — |
| 660 | #364 | — | 4 | 4 | no | — |
| 661 | #364 | — | 4 | 1 | no | — |
| 662 | #364 | — | 4 | 1 | no | — |
| 663 | #361 | — | 2 | 4 | no | — |
| 664 | #361 | — | 4 | 2 | no | — |
| 665 | #359 | — | 2 | 4 | no | — |
| 666 | #359 | — | 2 | 4 | no | — |
| 667 | #359 | — | 2 | 2 | no | — |
| 668 | #359 | — | 2 | 2 | no | — |
| 669 | #359 | — | 2 | 2 | no | — |
| 670 | #359 | — | 2 | 2 | no | — |
| 671 | #357 | — | 4 | 1 | no | — |
| 672 | #357 | — | 4 | 1 | no | — |
| 673 | #350 | — | 4 | 2 | no | — |
| 674 | #350 | — | 4 | 2 | no | — |
| 675 | #350 | — | 4 | 2 | no | — |
| 676 | #350 | — | 4 | 2 | no | — |
| 677 | #350 | — | 4 | 4 | no | — |
| 678 | #350 | — | 4 | 4 | no | — |
| 679 | #346 | — | 2 | 2 | no | — |
| 680 | #346 | — | 2 | 1 | no | — |
| 681 | #346 | — | 2 | 1 | no | — |
| 682 | #346 | — | 2 | 1 | no | — |
| 683 | #346 | — | 2 | 1 | no | — |
| 684 | #346 | — | 2 | 1 | no | — |
| 685 | #346 | #120 | 1 | 1 | yes | characteristic |
| 686 | #346 | #120 | 1 | 1 | yes | characteristic |
| 687 | #346 | C22×D4 | 1 | 1 | yes | characteristic |
| 688 | #346 | C22×D4 | 1 | 1 | yes | characteristic |
| 689 | #346 | C2×#41 | 1 | 1 | yes | characteristic |
| 690 | #346 | C2×#41 | 1 | 1 | yes | characteristic |
| 691 | C4×C16 | — | 2 | 2 | no | — |
| 692 | C4×C16 | — | 2 | 1 | no | — |
| 693 | C4×C16 | — | 2 | 1 | no | — |
| 694 | C4×C16 | — | 2 | 1 | no | — |
| 695 | C4×C16 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 696 | #343 | — | 4 | 1 | no | — |
| 697 | #343 | — | 4 | 1 | no | — |
| 698 | #341 | — | 4 | 1 | no | — |
| 699 | #335 | — | 4 | 1 | no | — |
| 700 | #335 | — | 8 | 1 | no | — |
| 701 | #334 | — | 4 | 1 | no | — |
| 702 | #334 | — | 4 | 1 | no | — |
| 703 | #334 | — | 4 | 1 | no | — |
| 704 | #334 | — | 8 | 1 | no | — |
| 705 | Q8⋊C8 | — | 8 | 1 | no | — |
| 706 | D4⋊C8 | — | 8 | 1 | no | — |
| 707 | D4⋊C8 | — | 8 | 1 | no | — |
| 708 | D4⋊C8 | — | 8 | 1 | no | — |
| 709 | D4⋊C8 | — | 8 | 1 | no | — |
| 710 | D4⋊C8 | — | 8 | 1 | no | — |
| 711 | #323 | — | 8 | 2 | no | — |
| 712 | #322 | — | 2 | 1 | no | — |
| 713 | #322 | — | 2 | 1 | no | — |
| 714 | #322 | — | 4 | 1 | no | — |
| 715 | #322 | — | 8 | 1 | no | — |
| 716 | #322 | #120 | 1 | 1 | yes | characteristic |
| 717 | #322 | #120 | 1 | 1 | yes | characteristic |
| 718 | C82 | — | 2 | 1 | no | — |
| 719 | C82 | — | 4 | 1 | no | — |
| 720 | C82 | — | 8 | 1 | no | — |
| 721 | 2−1+4 | — | 4 | 2 | no | — |
| 722 | 2−1+4 | — | 4 | 2 | no | — |
| 723 | 2−1+4 | — | 8 | 1 | no | — |
| 724 | H(5,𝔽2) | — | 4 | 2 | no | — |
| 725 | H(5,𝔽2) | — | 4 | 2 | no | — |
| 726 | H(5,𝔽2) | — | 8 | 2 | no | — |
| 727 | H(5,𝔽2) | — | 8 | 1 | no | — |
| 728 | C2×#41 | — | 4 | 4 | no | — |
| 729 | C2×#41 | — | 4 | 1 | no | — |
| 730 | C2×#41 | — | 4 | 1 | no | — |
| 731 | C2×#41 | — | 8 | 2 | no | — |
| 732 | C2×#41 | — | 8 | 2 | no | — |
| 733 | C2×#41 | #442 | 1 | 1 | yes | characteristic |
| 734 | C22×D4 | — | 4 | 1 | no | — |
| 735 | C23×C4 | — | 8 | 1 | no | — |
| 736 | #137 | — | 4 | 2 | no | — |
| 737 | #137 | — | 4 | 4 | no | — |
| 738 | #137 | — | 4 | 4 | no | — |
| 739 | #137 | — | 4 | 2 | no | — |
| 740 | AGL(1,ℤ/8) | — | 4 | 2 | no | — |
| 741 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 742 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 743 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 744 | AGL(1,ℤ/8) | — | 4 | 2 | no | — |
| 745 | AGL(1,ℤ/8) | — | 8 | 2 | no | — |
| 746 | #135 | — | 2 | 4 | no | — |
| 747 | #135 | — | 2 | 4 | no | — |
| 748 | #135 | — | 2 | 2 | no | — |
| 749 | #135 | — | 2 | 2 | no | — |
| 750 | #135 | — | 2 | 2 | no | — |
| 751 | #135 | — | 2 | 2 | no | — |
| 752 | #135 | — | 4 | 4 | no | — |
| 753 | #135 | — | 4 | 4 | no | — |
| 754 | #135 | — | 4 | 1 | no | — |
| 755 | #135 | — | 4 | 1 | no | — |
| 756 | #135 | — | 4 | 1 | no | — |
| 757 | #135 | — | 4 | 1 | no | — |
| 758 | C2×Q16 | — | 2 | 4 | no | — |
| 759 | C2×Q16 | — | 2 | 1 | no | — |
| 760 | C2×Q16 | — | 2 | 1 | no | — |
| 761 | C2×SD16 | — | 4 | 4 | no | — |
| 762 | C2×SD16 | — | 4 | 1 | no | — |
| 763 | C2×SD16 | — | 4 | 1 | no | — |
| 764 | C2×SD16 | — | 8 | 1 | no | — |
| 765 | C2×D8 | — | 2 | 4 | no | — |
| 766 | C2×D8 | — | 2 | 1 | no | — |
| 767 | C2×D8 | — | 2 | 2 | no | — |
| 768 | C2×D8 | — | 2 | 1 | no | — |
| 769 | C2×D8 | — | 4 | 1 | no | — |
| 770 | C2×D8 | — | 4 | 1 | no | — |
| 771 | C2×D8 | — | 4 | 1 | no | — |
| 772 | C2×D8 | — | 4 | 1 | no | — |
| 773 | C2×D8 | — | 4 | 1 | no | — |
| 774 | C2×D8 | — | 8 | 1 | no | — |
| 775 | #131 | — | 2 | 2 | no | — |
| 776 | #131 | — | 2 | 2 | no | — |
| 777 | #131 | — | 2 | 1 | no | — |
| 778 | #131 | — | 2 | 1 | no | — |
| 779 | #131 | — | 4 | 4 | no | — |
| 780 | #131 | — | 4 | 4 | no | — |
| 781 | #131 | — | 4 | 2 | no | — |
| 782 | #131 | — | 4 | 2 | no | — |
| 783 | #131 | — | 4 | 2 | no | — |
| 784 | #131 | — | 4 | 2 | no | — |
| 785 | #131 | — | 8 | 4 | no | — |
| 786 | #131 | — | 8 | 1 | no | — |
| 787 | #131 | — | 8 | 1 | no | — |
| 788 | #131 | — | 8 | 4 | no | — |
| 789 | #131 | — | 8 | 1 | no | — |
| 790 | #131 | — | 8 | 1 | no | — |
| 791 | #131 | — | 8 | 4 | no | — |
| 792 | #131 | — | 8 | 4 | no | — |
| 793 | #131 | — | 8 | 2 | no | — |
| 794 | #131 | — | 8 | 2 | no | — |
| 795 | #131 | — | 8 | 2 | no | — |
| 796 | #131 | — | 8 | 2 | no | — |
| 797 | #131 | C8×D4 | 1 | 2 | yes | — |
| 798 | #131 | #444 | 1 | 2 | yes | — |
| 799 | C2×M16 | — | 2 | 1 | no | — |
| 800 | C2×M16 | — | 2 | 1 | no | — |
| 801 | C2×M16 | — | 4 | 4 | no | — |
| 802 | C2×M16 | — | 4 | 1 | no | — |
| 803 | C2×M16 | — | 4 | 1 | no | — |
| 804 | C2×M16 | — | 4 | 1 | no | — |
| 805 | C2×M16 | — | 4 | 1 | no | — |
| 806 | C2×M16 | — | 8 | 4 | no | — |
| 807 | C2×M16 | — | 8 | 1 | no | — |
| 808 | C2×M16 | — | 8 | 1 | no | — |
| 809 | C2×M16 | — | 8 | 4 | no | — |
| 810 | C2×M16 | — | 8 | 4 | no | — |
| 811 | C2×M16 | — | 8 | 2 | no | — |
| 812 | C2×M16 | — | 8 | 2 | no | — |
| 813 | C2×M16 | #442 | 1 | 1 | yes | characteristic |
| 814 | C2×M16 | #442 | 1 | 1 | yes | characteristic |
| 815 | C22×C8 | — | 2 | 1 | no | — |
| 816 | C22×C8 | — | 2 | 1 | no | — |
| 817 | C22×C8 | — | 4 | 1 | no | — |
| 818 | C22×C8 | — | 8 | 4 | no | — |
| 819 | C22×C8 | — | 8 | 1 | no | — |
| 820 | C22×C8 | — | 8 | 1 | no | — |
| 821 | C22×C8 | — | 8 | 1 | no | — |
| 822 | C22×C8 | — | 8 | 1 | no | — |
| 823 | C22×C8 | — | 16 | 1 | no | — |
| 824 | C22×C8 | — | 16 | 1 | no | — |
| 825 | C22×C8 | — | 32 | 2 | no | — |
| 826 | C22×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 827 | C22×C8 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 828 | C4×Q8 | — | 2 | 1 | no | — |
| 829 | C4×D4 | — | 2 | 1 | no | — |
| 830 | C4×D4 | — | 4 | 1 | no | — |
| 831 | C4×D4 | — | 8 | 1 | no | — |
| 832 | C4×D4 | — | 8 | 1 | no | — |
| 833 | C4×D4 | — | 8 | 1 | no | — |
| 834 | C4×D4 | — | 8 | 1 | no | — |
| 835 | #117 | — | 2 | 1 | no | — |
| 836 | #117 | #442 | 1 | 1 | yes | characteristic |
| 837 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 838 | C2×C22⋊C4 | — | 8 | 1 | no | — |
| 839 | C2×C42 | — | 2 | 1 | no | — |
| 840 | C2×C42 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 841 | Q32 | — | 2 | 4 | no | — |
| 842 | Q32 | — | 2 | 1 | no | — |
| 843 | Q32 | — | 2 | 1 | no | — |
| 844 | Q32 | C8×D4 | 1 | 2 | yes | — |
| 845 | Q32 | C8×D4 | 1 | 2 | yes | — |
| 846 | SD32 | — | 2 | 4 | no | — |
| 847 | SD32 | — | 2 | 4 | no | — |
| 848 | SD32 | — | 2 | 2 | no | — |
| 849 | SD32 | — | 2 | 2 | no | — |
| 850 | SD32 | — | 2 | 2 | no | — |
| 851 | SD32 | — | 2 | 2 | no | — |
| 852 | D16 | — | 2 | 4 | no | — |
| 853 | D16 | — | 2 | 1 | no | — |
| 854 | D16 | — | 2 | 2 | no | — |
| 855 | D16 | — | 2 | 2 | no | — |
| 856 | D16 | — | 2 | 1 | no | — |
| 857 | D16 | — | 4 | 1 | no | — |
| 858 | D16 | — | 4 | 1 | no | — |
| 859 | D16 | C8×D4 | 1 | 2 | yes | — |
| 860 | D16 | C8×D4 | 1 | 2 | yes | — |
| 861 | M32 | — | 2 | 1 | no | — |
| 862 | M32 | — | 2 | 2 | no | — |
| 863 | M32 | — | 2 | 2 | no | — |
| 864 | M32 | — | 2 | 1 | no | — |
| 865 | M32 | — | 2 | 1 | no | — |
| 866 | M32 | — | 4 | 2 | no | — |
| 867 | M32 | — | 4 | 4 | no | — |
| 868 | M32 | — | 4 | 1 | no | — |
| 869 | M32 | — | 4 | 1 | no | — |
| 870 | M32 | — | 4 | 2 | no | — |
| 871 | M32 | — | 4 | 2 | no | — |
| 872 | M32 | — | 8 | 2 | no | — |
| 873 | M32 | — | 8 | 2 | no | — |
| 874 | M32 | — | 8 | 2 | no | — |
| 875 | M32 | — | 8 | 2 | no | — |
| 876 | M32 | — | 8 | 4 | no | — |
| 877 | M32 | — | 8 | 4 | no | — |
| 878 | M32 | — | 8 | 4 | no | — |
| 879 | M32 | — | 8 | 1 | no | — |
| 880 | M32 | — | 8 | 1 | no | — |
| 881 | M32 | C8×D4 | 1 | 2 | yes | — |
| 882 | C2×C16 | — | 2 | 1 | no | — |
| 883 | C2×C16 | — | 2 | 1 | no | — |
| 884 | C2×C16 | — | 2 | 1 | no | — |
| 885 | C2×C16 | — | 2 | 2 | no | — |
| 886 | C2×C16 | — | 2 | 2 | no | — |
| 887 | C2×C16 | — | 2 | 1 | no | — |
| 888 | C2×C16 | — | 2 | 2 | no | — |
| 889 | C2×C16 | — | 2 | 1 | no | — |
| 890 | C2×C16 | — | 2 | 1 | no | — |
| 891 | C2×C16 | — | 4 | 2 | no | — |
| 892 | C2×C16 | — | 4 | 4 | no | — |
| 893 | C2×C16 | — | 4 | 1 | no | — |
| 894 | C2×C16 | — | 4 | 1 | no | — |
| 895 | C2×C16 | — | 8 | 2 | no | — |
| 896 | C2×C16 | — | 8 | 2 | no | — |
| 897 | C2×C16 | — | 8 | 2 | no | — |
| 898 | C2×C16 | — | 8 | 2 | no | — |
| 899 | C2×C16 | — | 8 | 4 | no | — |
| 900 | C2×C16 | — | 8 | 4 | no | — |
| 901 | C2×C16 | — | 8 | 4 | no | — |
| 902 | C2×C16 | — | 8 | 1 | no | — |
| 903 | C2×C16 | — | 8 | 1 | no | — |
| 904 | C2×C16 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 905 | C2×C16 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 906 | C2×C16 | #525 | 1 | 1 | yes | characteristic |
| 907 | C2×C16 | #525 | 1 | 1 | yes | characteristic |
| 908 | C2×C16 | C23×C8 | 1 | 1 | yes | characteristic |
| 909 | C2×C16 | C2×#131 | 1 | 1 | yes | characteristic |
| 910 | C2×C16 | C2×#131 | 1 | 1 | yes | characteristic |
| 911 | C2×C16 | C2×#131 | 1 | 1 | yes | characteristic |
| 912 | #108 | — | 2 | 2 | no | — |
| 913 | #108 | — | 2 | 2 | no | — |
| 914 | #108 | — | 2 | 2 | no | — |
| 915 | #108 | — | 4 | 4 | no | — |
| 916 | #108 | — | 4 | 1 | no | — |
| 917 | #108 | — | 4 | 1 | no | — |
| 918 | #108 | — | 4 | 1 | no | — |
| 919 | #108 | — | 4 | 1 | no | — |
| 920 | #108 | — | 4 | 1 | no | — |
| 921 | #107 | — | 4 | 1 | no | — |
| 922 | #107 | — | 4 | 1 | no | — |
| 923 | #107 | — | 8 | 1 | no | — |
| 924 | #106 | — | 8 | 1 | no | — |
| 925 | C4⋊C8 | — | 4 | 1 | no | — |
| 926 | C4⋊C8 | — | 8 | 1 | no | — |
| 927 | C4⋊C8 | — | 8 | 1 | no | — |
| 928 | C4⋊C8 | — | 8 | 1 | no | — |
| 929 | C4⋊C8 | — | 8 | 1 | no | — |
| 930 | #104 | — | 4 | 4 | no | — |
| 931 | #104 | — | 4 | 4 | no | — |
| 932 | #104 | — | 4 | 2 | no | — |
| 933 | #104 | — | 4 | 2 | no | — |
| 934 | #104 | — | 4 | 2 | no | — |
| 935 | #104 | — | 4 | 2 | no | — |
| 936 | #103 | — | 8 | 1 | no | — |
| 937 | #102 | — | 8 | 1 | no | — |
| 938 | #102 | — | 8 | 1 | no | — |
| 939 | #102 | — | 8 | 1 | no | — |
| 940 | #102 | — | 8 | 1 | no | — |
| 941 | #102 | — | 8 | 1 | no | — |
| 942 | #100 | — | 4 | 4 | no | — |
| 943 | #100 | — | 8 | 2 | no | — |
| 944 | C22⋊C8 | — | 4 | 1 | no | — |
| 945 | C22⋊C8 | — | 8 | 1 | no | — |
| 946 | C22⋊C8 | — | 8 | 1 | no | — |
| 947 | C22⋊C8 | — | 16 | 1 | no | — |
| 948 | C22⋊C8 | — | 16 | 1 | no | — |
| 949 | #97 | — | 2 | 1 | no | — |
| 950 | #97 | — | 2 | 1 | no | — |
| 951 | #97 | — | 2 | 1 | no | — |
| 952 | #97 | — | 8 | 1 | no | — |
| 953 | C4×C8 | — | 2 | 1 | no | — |
| 954 | C4×C8 | — | 2 | 1 | no | — |
| 955 | C4×C8 | — | 2 | 1 | no | — |
| 956 | C4×C8 | — | 2 | 1 | no | — |
| 957 | C4×C8 | — | 2 | 1 | no | — |
| 958 | C4×C8 | — | 4 | 1 | no | — |
| 959 | C4×C8 | — | 4 | 1 | no | — |
| 960 | C4×C8 | — | 8 | 1 | no | — |
| 961 | C4×C8 | — | 8 | 1 | no | — |
| 962 | C4×C8 | — | 8 | 1 | no | — |
| 963 | C4×C8 | C2×#120 | 1 | 1 | yes | characteristic |
| 964 | C4×C8 | #525 | 1 | 1 | yes | characteristic |
| 965 | C4×C8 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 966 | C4×C8 | #575 | 1 | 1 | yes | characteristic |
| 967 | C32 | — | 2 | 2 | no | — |
| 968 | C32 | — | 2 | 2 | no | — |
| 969 | C32 | — | 4 | 1 | no | — |
| 970 | C32 | — | 4 | 1 | no | — |
| 971 | C32 | — | 8 | 1 | no | — |
| 972 | C32 | — | 8 | 1 | no | — |
| 973 | C24 | — | 8 | 1 | no | — |
| 974 | #41 | — | 2 | 1 | no | — |
| 975 | #41 | — | 2 | 1 | no | — |
| 976 | #41 | — | 4 | 4 | no | — |
| 977 | #41 | — | 4 | 4 | no | — |
| 978 | #41 | — | 4 | 2 | no | — |
| 979 | #41 | — | 4 | 2 | no | — |
| 980 | #41 | — | 4 | 2 | no | — |
| 981 | #41 | — | 4 | 2 | no | — |
| 982 | #41 | — | 8 | 4 | no | — |
| 983 | #41 | — | 8 | 4 | no | — |
| 984 | #41 | — | 8 | 4 | no | — |
| 985 | #41 | — | 8 | 4 | no | — |
| 986 | #41 | — | 8 | 2 | no | — |
| 987 | #41 | — | 8 | 2 | no | — |
| 988 | #41 | — | 8 | 2 | no | — |
| 989 | #41 | — | 8 | 2 | no | — |
| 990 | #41 | — | 8 | 1 | no | — |
| 991 | #41 | — | 8 | 1 | no | — |
| 992 | #41 | — | 8 | 1 | no | — |
| 993 | #41 | — | 8 | 1 | no | — |
| 994 | #41 | #1580 | 1 | 2 | yes | — |
| 995 | #41 | AGL(1,ℤ/16) | 1 | 2 | yes | — |
| 996 | C2×Q8 | — | 4 | 4 | no | — |
| 997 | C2×Q8 | — | 4 | 1 | no | — |
| 998 | C2×Q8 | — | 4 | 1 | no | — |
| 999 | C2×Q8 | — | 8 | 2 | no | — |
| 1000 | C2×Q8 | — | 8 | 2 | no | — |
| 1001 | C2×Q8 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 1002 | C2×D4 | — | 2 | 1 | no | — |
| 1003 | C2×D4 | — | 4 | 4 | no | — |
| 1004 | C2×D4 | — | 4 | 1 | no | — |
| 1005 | C2×D4 | — | 4 | 2 | no | — |
| 1006 | C2×D4 | — | 4 | 1 | no | — |
| 1007 | C2×D4 | — | 8 | 4 | no | — |
| 1008 | C2×D4 | — | 8 | 4 | no | — |
| 1009 | C2×D4 | — | 8 | 2 | no | — |
| 1010 | C2×D4 | — | 8 | 4 | no | — |
| 1011 | C2×D4 | — | 8 | 1 | no | — |
| 1012 | C2×D4 | — | 8 | 1 | no | — |
| 1013 | C2×D4 | — | 8 | 2 | no | — |
| 1014 | C2×D4 | — | 8 | 1 | no | — |
| 1015 | C2×D4 | — | 8 | 1 | no | — |
| 1016 | C2×D4 | — | 8 | 1 | no | — |
| 1017 | C2×D4 | — | 8 | 1 | no | — |
| 1018 | C2×D4 | — | 8 | 1 | no | — |
| 1019 | C2×D4 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 1020 | C22×C4 | — | 2 | 1 | no | — |
| 1021 | C22×C4 | — | 2 | 1 | no | — |
| 1022 | C22×C4 | — | 4 | 1 | no | — |
| 1023 | C22×C4 | — | 8 | 4 | no | — |
| 1024 | C22×C4 | — | 8 | 1 | no | — |
| 1025 | C22×C4 | — | 8 | 1 | no | — |
| 1026 | C22×C4 | — | 8 | 1 | no | — |
| 1027 | C22×C4 | — | 16 | 1 | no | — |
| 1028 | C22×C4 | — | 16 | 1 | no | — |
| 1029 | C22×C4 | — | 32 | 1 | no | — |
| 1030 | C22×C4 | — | 32 | 1 | no | — |
| 1031 | C22×C4 | C2×#442 | 1 | 1 | yes | characteristic |
| 1032 | Q16 | — | 2 | 2 | no | — |
| 1033 | Q16 | — | 2 | 2 | no | — |
| 1034 | Q16 | — | 4 | 4 | no | — |
| 1035 | Q16 | — | 4 | 1 | no | — |
| 1036 | Q16 | — | 4 | 1 | no | — |
| 1037 | SD16 | — | 4 | 4 | no | — |
| 1038 | SD16 | — | 4 | 4 | no | — |
| 1039 | SD16 | — | 4 | 2 | no | — |
| 1040 | SD16 | — | 4 | 2 | no | — |
| 1041 | SD16 | — | 4 | 2 | no | — |
| 1042 | SD16 | — | 4 | 2 | no | — |
| 1043 | SD16 | — | 8 | 4 | no | — |
| 1044 | D8 | — | 2 | 2 | no | — |
| 1045 | D8 | — | 2 | 2 | no | — |
| 1046 | D8 | — | 4 | 4 | no | — |
| 1047 | D8 | — | 4 | 1 | no | — |
| 1048 | D8 | — | 4 | 2 | no | — |
| 1049 | D8 | — | 4 | 2 | no | — |
| 1050 | D8 | — | 4 | 1 | no | — |
| 1051 | D8 | — | 8 | 4 | no | — |
| 1052 | D8 | — | 8 | 1 | no | — |
| 1053 | D8 | — | 8 | 1 | no | — |
| 1054 | M16 | — | 2 | 4 | no | — |
| 1055 | M16 | — | 2 | 1 | no | — |
| 1056 | M16 | — | 2 | 1 | no | — |
| 1057 | M16 | — | 2 | 2 | no | — |
| 1058 | M16 | — | 2 | 2 | no | — |
| 1059 | M16 | — | 4 | 2 | no | — |
| 1060 | M16 | — | 4 | 2 | no | — |
| 1061 | M16 | — | 4 | 2 | no | — |
| 1062 | M16 | — | 8 | 2 | no | — |
| 1063 | M16 | — | 8 | 2 | no | — |
| 1064 | M16 | — | 8 | 4 | no | — |
| 1065 | M16 | — | 8 | 4 | no | — |
| 1066 | M16 | — | 8 | 2 | no | — |
| 1067 | M16 | — | 8 | 2 | no | — |
| 1068 | M16 | — | 8 | 4 | no | — |
| 1069 | M16 | — | 8 | 1 | no | — |
| 1070 | M16 | — | 8 | 1 | no | — |
| 1071 | M16 | — | 8 | 1 | no | — |
| 1072 | M16 | — | 8 | 1 | no | — |
| 1073 | M16 | — | 8 | 1 | no | — |
| 1074 | M16 | #1580 | 1 | 2 | yes | — |
| 1075 | M16 | AGL(1,ℤ/16) | 1 | 2 | yes | — |
| 1076 | C2×C8 | — | 2 | 4 | no | — |
| 1077 | C2×C8 | — | 2 | 1 | no | — |
| 1078 | C2×C8 | — | 2 | 1 | no | — |
| 1079 | C2×C8 | — | 2 | 1 | no | — |
| 1080 | C2×C8 | — | 2 | 1 | no | — |
| 1081 | C2×C8 | — | 2 | 2 | no | — |
| 1082 | C2×C8 | — | 2 | 2 | no | — |
| 1083 | C2×C8 | — | 4 | 1 | no | — |
| 1084 | C2×C8 | — | 4 | 1 | no | — |
| 1085 | C2×C8 | — | 8 | 2 | no | — |
| 1086 | C2×C8 | — | 8 | 2 | no | — |
| 1087 | C2×C8 | — | 8 | 4 | no | — |
| 1088 | C2×C8 | — | 8 | 4 | no | — |
| 1089 | C2×C8 | — | 8 | 2 | no | — |
| 1090 | C2×C8 | — | 8 | 2 | no | — |
| 1091 | C2×C8 | — | 8 | 4 | no | — |
| 1092 | C2×C8 | — | 8 | 1 | no | — |
| 1093 | C2×C8 | — | 8 | 1 | no | — |
| 1094 | C2×C8 | — | 8 | 1 | no | — |
| 1095 | C2×C8 | — | 8 | 1 | no | — |
| 1096 | C2×C8 | — | 8 | 1 | no | — |
| 1097 | C2×C8 | — | 16 | 1 | no | — |
| 1098 | C2×C8 | — | 16 | 1 | no | — |
| 1099 | C2×C8 | — | 16 | 1 | no | — |
| 1100 | C2×C8 | — | 32 | 1 | no | — |
| 1101 | C2×C8 | — | 32 | 2 | no | — |
| 1102 | C2×C8 | — | 32 | 2 | no | — |
| 1103 | C2×C8 | — | 32 | 1 | no | — |
| 1104 | C2×C8 | C4×#120 | 1 | 1 | yes | characteristic |
| 1105 | C2×C8 | C2×C8×D4 | 1 | 1 | yes | characteristic |
| 1106 | C2×C8 | #2929 | 1 | 1 | yes | characteristic |
| 1107 | C2×C8 | C4×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1108 | C2×C8 | C2×#444 | 1 | 1 | yes | characteristic |
| 1109 | C2×C8 | #2955 | 1 | 1 | yes | characteristic |
| 1110 | C2×C8 | #3003 | 1 | 1 | yes | characteristic |
| 1111 | C2×C8 | #3114 | 1 | 1 | yes | characteristic |
| 1112 | C4⋊C4 | — | 2 | 1 | no | — |
| 1113 | C4⋊C4 | — | 4 | 1 | no | — |
| 1114 | C4⋊C4 | — | 8 | 1 | no | — |
| 1115 | C4⋊C4 | — | 8 | 1 | no | — |
| 1116 | C22⋊C4 | — | 2 | 1 | no | — |
| 1117 | C22⋊C4 | — | 4 | 1 | no | — |
| 1118 | C22⋊C4 | — | 16 | 1 | no | — |
| 1119 | C22⋊C4 | — | 16 | 1 | no | — |
| 1120 | C42 | — | 2 | 1 | no | — |
| 1121 | C42 | — | 2 | 1 | no | — |
| 1122 | C42 | — | 4 | 1 | no | — |
| 1123 | C42 | #3006 | 1 | 1 | yes | characteristic |
| 1124 | C42 | #3109 | 1 | 1 | yes | characteristic |
| 1125 | C16 | — | 2 | 2 | no | — |
| 1126 | C16 | — | 2 | 1 | no | — |
| 1127 | C16 | — | 2 | 1 | no | — |
| 1128 | C16 | — | 4 | 1 | no | — |
| 1129 | C16 | — | 4 | 1 | no | — |
| 1130 | C16 | — | 4 | 2 | no | — |
| 1131 | C16 | — | 4 | 1 | no | — |
| 1132 | C16 | — | 8 | 2 | no | — |
| 1133 | C16 | — | 8 | 2 | no | — |
| 1134 | C16 | C2×C8×D4 | 1 | 1 | yes | characteristic |
| 1135 | C16 | C2×C8×D4 | 1 | 1 | yes | characteristic |
| 1136 | C16 | #2929 | 1 | 1 | yes | characteristic |
| 1137 | C16 | #2929 | 1 | 1 | yes | characteristic |
| 1138 | C23 | — | 2 | 1 | no | — |
| 1139 | C23 | — | 8 | 4 | no | — |
| 1140 | C23 | — | 8 | 1 | no | — |
| 1141 | C23 | — | 8 | 1 | no | — |
| 1142 | C23 | — | 8 | 2 | no | — |
| 1143 | C23 | — | 16 | 1 | no | — |
| 1144 | C23 | — | 16 | 1 | no | — |
| 1145 | C23 | — | 32 | 1 | no | — |
| 1146 | C23 | — | 32 | 1 | no | — |
| 1147 | C23 | #33468 | 1 | 1 | yes | characteristic |
| 1148 | Q8 | — | 2 | 1 | no | — |
| 1149 | Q8 | — | 4 | 2 | no | — |
| 1150 | Q8 | — | 4 | 2 | no | — |
| 1151 | Q8 | — | 8 | 4 | no | — |
| 1152 | Q8 | — | 8 | 1 | no | — |
| 1153 | Q8 | — | 8 | 1 | no | — |
| 1154 | Q8 | #12067 | 1 | 2 | yes | — |
| 1155 | D4 | — | 2 | 2 | no | — |
| 1156 | D4 | — | 2 | 2 | no | — |
| 1157 | D4 | — | 2 | 1 | no | — |
| 1158 | D4 | — | 4 | 2 | no | — |
| 1159 | D4 | — | 4 | 2 | no | — |
| 1160 | D4 | — | 8 | 4 | no | — |
| 1161 | D4 | — | 8 | 4 | no | — |
| 1162 | D4 | — | 8 | 4 | no | — |
| 1163 | D4 | — | 8 | 2 | no | — |
| 1164 | D4 | — | 8 | 2 | no | — |
| 1165 | D4 | — | 8 | 2 | no | — |
| 1166 | D4 | — | 8 | 2 | no | — |
| 1167 | D4 | — | 8 | 1 | no | — |
| 1168 | D4 | — | 8 | 2 | no | — |
| 1169 | D4 | — | 8 | 2 | no | — |
| 1170 | D4 | — | 8 | 1 | no | — |
| 1171 | D4 | — | 16 | 1 | no | — |
| 1172 | D4 | — | 16 | 1 | no | — |
| 1173 | D4 | #12067 | 1 | 2 | yes | — |
| 1174 | C2×C4 | — | 2 | 1 | no | — |
| 1175 | C2×C4 | — | 2 | 2 | no | — |
| 1176 | C2×C4 | — | 2 | 2 | no | — |
| 1177 | C2×C4 | — | 2 | 1 | no | — |
| 1178 | C2×C4 | — | 2 | 1 | no | — |
| 1179 | C2×C4 | — | 4 | 1 | no | — |
| 1180 | C2×C4 | — | 8 | 4 | no | — |
| 1181 | C2×C4 | — | 8 | 4 | no | — |
| 1182 | C2×C4 | — | 8 | 1 | no | — |
| 1183 | C2×C4 | — | 8 | 4 | no | — |
| 1184 | C2×C4 | — | 8 | 1 | no | — |
| 1185 | C2×C4 | — | 8 | 1 | no | — |
| 1186 | C2×C4 | — | 8 | 2 | no | — |
| 1187 | C2×C4 | — | 8 | 2 | no | — |
| 1188 | C2×C4 | — | 8 | 2 | no | — |
| 1189 | C2×C4 | — | 8 | 2 | no | — |
| 1190 | C2×C4 | — | 16 | 1 | no | — |
| 1191 | C2×C4 | — | 16 | 1 | no | — |
| 1192 | C2×C4 | — | 32 | 1 | no | — |
| 1193 | C2×C4 | — | 32 | 1 | no | — |
| 1194 | C2×C4 | — | 32 | 2 | no | — |
| 1195 | C2×C4 | — | 32 | 1 | no | — |
| 1196 | C2×C4 | C2×#1580 | 1 | 1 | yes | characteristic |
| 1197 | C2×C4 | #17907 | 1 | 1 | yes | characteristic |
| 1198 | C2×C4 | #21452 | 1 | 1 | yes | characteristic |
| 1199 | C2×C4 | C2×AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 1200 | C2×C4 | C2×AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 1201 | C2×C4 | C2×AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 1202 | C8 | — | 2 | 2 | no | — |
| 1203 | C8 | — | 2 | 1 | no | — |
| 1204 | C8 | — | 2 | 2 | no | — |
| 1205 | C8 | — | 2 | 1 | no | — |
| 1206 | C8 | — | 8 | 1 | no | — |
| 1207 | C8 | — | 8 | 1 | no | — |
| 1208 | C8 | — | 8 | 2 | no | — |
| 1209 | C8 | — | 8 | 2 | no | — |
| 1210 | C8 | — | 8 | 2 | no | — |
| 1211 | C8 | — | 16 | 1 | no | — |
| 1212 | C8 | — | 16 | 1 | no | — |
| 1213 | C8 | — | 32 | 1 | no | — |
| 1214 | C8 | — | 32 | 1 | no | — |
| 1215 | C8 | C8×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1216 | C8 | #17914 | 1 | 1 | yes | characteristic |
| 1217 | C8 | C8×#120 | 1 | 1 | yes | characteristic |
| 1218 | C8 | #21467 | 1 | 1 | yes | characteristic |
| 1219 | C22 | — | 2 | 2 | no | — |
| 1220 | C22 | — | 4 | 1 | no | — |
| 1221 | C22 | — | 8 | 1 | no | — |
| 1222 | C22 | — | 8 | 2 | no | — |
| 1223 | C22 | — | 8 | 2 | no | — |
| 1224 | C22 | — | 16 | 2 | no | — |
| 1225 | C22 | — | 32 | 1 | no | — |
| 1226 | C22 | — | 32 | 1 | no | — |
| 1227 | C22 | — | 32 | 2 | no | — |
| 1228 | C22 | — | 32 | 1 | no | — |
| 1229 | C22 | — | 32 | 1 | no | — |
| 1230 | C22 | — | 32 | 2 | no | — |
| 1231 | C22 | — | 32 | 4 | no | — |
| 1232 | C22 | #483590 | 1 | 1 | yes | characteristic |
| 1233 | C22 | #483878 | 1 | 1 | yes | characteristic |
| 1234 | C22 | #495721 | 1 | 1 | yes | characteristic |
| 1235 | C4 | — | 2 | 2 | no | — |
| 1236 | C4 | — | 4 | 1 | no | — |
| 1237 | C4 | — | 4 | 1 | no | — |
| 1238 | C4 | — | 8 | 1 | no | — |
| 1239 | C4 | — | 8 | 2 | no | — |
| 1240 | C4 | — | 8 | 2 | no | — |
| 1241 | C4 | — | 32 | 1 | no | — |
| 1242 | C4 | #208650 | 1 | 1 | yes | characteristic |
| 1243 | C4 | C2×#12067 | 1 | 1 | yes | characteristic |
| 1244 | C4 | #483875 | 1 | 1 | yes | characteristic |
| 1245 | C4 | #495725 | 1 | 1 | yes | characteristic |
| 1246 | C2 | — | 2 | 1 | no | — |
| 1247 | C2 | — | 2 | 1 | no | — |
| 1248 | C2 | — | 2 | 1 | no | — |
| 1249 | C2 | — | 4 | 2 | no | — |
| 1250 | C2 | — | 16 | 2 | no | — |
| 1251 | C2 | — | 16 | 2 | no | — |
| 1252 | C2 | — | 32 | 2 | no | — |
| 1253 | C2 | #72225051 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | #72225051 |
| commutator | C2×C16 | C23×C8 |
| Frattini, cosocle | C2×#346 | C24 |
| prime radical | #512851 | C4 |
| LCS | G ▷ C2×C16 ▷ C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C22×C4 ◁ C4×#131 ◁ #479908 ◁ G | |
| LECS | G ▷ C2×#346 ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72227112 | C2 | semidirect |
| 2. #72227099 | C2 | semidirect |
| 3. #72227086 | C2 | semidirect |
| 4. #72227070 | C2 | semidirect |
| 5. #72227048 | C2 | semidirect |
| 6. #72227010 | C2 | semidirect |
| 7. #72226975 | C2 | semidirect |
| 9. #72224948 | C2 | semidirect |
| 10. #72223669 | C2 | semidirect |
| 11. #72223669 | C2 | semidirect |
| 12. #72217203 | C2 | semidirect |
| 13. #72216451 | C2 | semidirect |
| 14. C2×AGL(1,ℤ/32) | C2 | semidirect |
| 15. C2×AGL(1,ℤ/32) | C2 | semidirect |
| 32. C2×#12067 | C22 | semidirect |
| 52. C2×#7457 | C22 | semidirect |
| 53. C2×#7457 | C22 | semidirect |
| 54. C2×#7390 | C22 | semidirect |
| 55. C2×#7390 | C22 | semidirect |
| 60. C2×#7333 | C22 | semidirect |
| 61. C2×#7333 | C22 | semidirect |
| 62. #140747 | C22 | semidirect |
| 63. #140355 | C22 | semidirect |
| 67. #129166 | C22 | semidirect |
| 69. #94058 | C22 | semidirect |
| 70. #94058 | C22 | semidirect |
| 71. #94031 | C22 | semidirect |
| 72. #94031 | C22 | semidirect |
| 73. #93996 | C22 | semidirect |
| 74. #93995 | C22 | semidirect |
| 112. #13670 | C8 | semidirect |
| 113. #13669 | C8 | semidirect |
| 217. #3417 | C2×C8 | semidirect |
| 221. #3415 | C2×C8 | semidirect |
| 263. #2263 | C2×C8 | semidirect |
| 265. C2×SD64 | C2×C8 | semidirect |
| 267. C2×D32 | C2×C8 | semidirect |
| 386. #1420 | C2×C8 | semidirect |
| 390. #1419 | C2×C8 | semidirect |
| 394. #1417 | C2×C8 | semidirect |
| 397. #1401 | C2×C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72227112 | 2 |
| #72227099 | 2 |
| #72227086 | 2 |
| #72227070 | 2 |
| #72227048 | 2 |
| #72227010 | 2 |
| #72226975 | 2 |
| #72225572 | 2 |
| #72224948 | 2 |
| #72223669 | 2 |
| #72217203 | 2 |
| #72216451 | 2 |
| C2×AGL(1,ℤ/32) | 2 |