Finite Group DatabasebetaFinite Group DatabasebetaOrder 4096.
2972 conjugacy classes of subgroups.
The subgroup lattice has 1182 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72286954 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72286933 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #72286929 | — | 2 | 1 | no | — |
| 4 | #72286922 | — | 2 | 1 | no | — |
| 5 | #72286916 | — | 2 | 1 | no | — |
| 6 | #72286915 | — | 2 | 1 | no | — |
| 7 | #72286907 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #72286899 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #72286896 | C22 | 1 | 1 | yes | characteristic |
| 10 | #72286884 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | #72286879 | C4 | 1 | 1 | yes | characteristic |
| 12 | #72286872 | C22 | 1 | 1 | yes | characteristic |
| 13 | #72286862 | C4 | 1 | 1 | yes | characteristic |
| 14 | #72286857 | C4 | 1 | 1 | yes | characteristic |
| 15 | #72286849 | C4 | 1 | 1 | yes | characteristic |
| 16 | #72286843 | C4 | 1 | 2 | yes | — |
| 17 | #72286831 | C4 | 1 | 2 | yes | — |
| 18 | #72286820 | C2 | 1 | 2 | yes | maximal, complemented |
| 19 | #72286801 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | #72286777 | C2 | 1 | 2 | yes | maximal, complemented |
| 21 | #72286771 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #72286525 | C2 | 1 | 2 | yes | maximal, complemented |
| 23 | #72286519 | C22 | 1 | 2 | yes | complemented |
| 24 | #72286505 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #72286496 | C22 | 1 | 2 | yes | complemented |
| 26 | #72286491 | C22 | 1 | 2 | yes | — |
| 27 | #72286400 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 28 | #72286396 | C22 | 1 | 1 | yes | characteristic |
| 29 | #72286396 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#72224652 | C2 | 1 | 2 | yes | maximal, complemented |
| 31 | C2×#94613 | C22 | 1 | 2 | yes | complemented |
| 32 | C2×#94614 | C22 | 1 | 2 | yes | — |
| 33 | C2×#94614 | C22 | 1 | 2 | yes | — |
| 34 | C2×#94754 | C22 | 1 | 2 | yes | complemented |
| 35 | C2×#153598 | C22 | 1 | 2 | yes | — |
| 36 | C2×#151086 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | C2×#94506 | C22 | 1 | 2 | yes | complemented |
| 38 | #72234375 | C22 | 1 | 2 | yes | complemented |
| 39 | C22×#151085 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 40 | C22×#7463 | C22 | 1 | 1 | yes | characteristic |
| 41 | C22×#7385 | — | 2 | 1 | no | — |
| 42 | C22×#13654 | C22 | 1 | 1 | yes | characteristic |
| 43 | C22×#7330 | C22 | 1 | 1 | yes | characteristic |
| 44 | #72224652 | — | 2 | 8 | no | — |
| 45 | C2×#151085 | — | 2 | 1 | no | — |
| 46 | C2×#151085 | — | 2 | 1 | no | — |
| 47 | C2×#151085 | — | 2 | 8 | no | — |
| 48 | C2×#151085 | C22 | 1 | 2 | yes | — |
| 49 | C2×#151085 | C22 | 1 | 2 | yes | — |
| 50 | C22×#12045 | — | 2 | 1 | no | — |
| 51 | C23×D32 | C2×C4 | 1 | 1 | yes | characteristic |
| 52 | C22×C4×D16 | — | 2 | 1 | no | — |
| 53 | C22×C8×D8 | — | 4 | 1 | no | — |
| 54 | C2×#13742 | C2×C4 | 1 | 2 | yes | — |
| 55 | #512934 | C2×C4 | 1 | 1 | yes | characteristic |
| 56 | C2×#13656 | C23 | 1 | 1 | yes | characteristic |
| 57 | C2×#13654 | — | 2 | 1 | no | — |
| 58 | C2×#13654 | — | 2 | 1 | no | — |
| 59 | C2×#13654 | — | 2 | 4 | no | — |
| 60 | C2×#13654 | — | 2 | 4 | no | — |
| 61 | C2×#13654 | C2×C4 | 1 | 2 | yes | — |
| 62 | C2×#13654 | C23 | 1 | 2 | yes | — |
| 63 | C22×#1424 | C2×C4 | 1 | 1 | yes | characteristic |
| 64 | C22×#1415 | — | 2 | 1 | no | — |
| 65 | C22×#1397 | D4 | 1 | 1 | yes | characteristic |
| 66 | C22×#1397 | C23 | 1 | 1 | yes | characteristic |
| 67 | #495879 | — | 2 | 1 | no | — |
| 68 | #495796 | — | 4 | 1 | no | — |
| 69 | C2×#12047 | — | 2 | 1 | no | — |
| 70 | C2×#12045 | — | 2 | 8 | no | — |
| 71 | C2×#12045 | — | 2 | 2 | no | — |
| 72 | C2×#12045 | — | 2 | 2 | no | — |
| 73 | C2×#12045 | — | 4 | 4 | no | — |
| 74 | C2×#12045 | — | 4 | 1 | no | — |
| 75 | C2×#12045 | — | 4 | 1 | no | — |
| 76 | C22×#1372 | — | 2 | 1 | no | — |
| 77 | C22×#1331 | — | 4 | 1 | no | — |
| 78 | C22×#1311 | D4 | 1 | 1 | yes | characteristic |
| 79 | #153604 | C8 | 1 | 4 | yes | complemented |
| 80 | #153601 | C8 | 1 | 4 | yes | complemented |
| 81 | #153598 | — | 2 | 4 | no | — |
| 82 | #153598 | — | 2 | 4 | no | — |
| 83 | C2×#7548 | C2×C4 | 1 | 2 | yes | — |
| 84 | C2×#7541 | C2×C4 | 1 | 2 | yes | — |
| 85 | C2×#7541 | C2×C4 | 1 | 2 | yes | — |
| 86 | C2×#7540 | C2×C4 | 1 | 2 | yes | — |
| 87 | #153557 | C2×C4 | 1 | 2 | yes | — |
| 88 | #153427 | — | 2 | 1 | no | — |
| 89 | #153427 | C2×C4 | 1 | 1 | yes | characteristic |
| 90 | #153427 | C2×C4 | 1 | 1 | yes | characteristic |
| 91 | C2×#7511 | C23 | 1 | 2 | yes | — |
| 92 | C2×#7511 | C23 | 1 | 2 | yes | — |
| 93 | #152976 | C2×C4 | 1 | 1 | yes | characteristic |
| 94 | #152856 | C2×C4 | 1 | 1 | yes | characteristic |
| 95 | #152835 | — | 2 | 1 | no | — |
| 96 | #152633 | — | 2 | 1 | no | — |
| 97 | #152292 | C2×C4 | 1 | 1 | yes | characteristic |
| 98 | #151996 | C23 | 1 | 1 | yes | characteristic |
| 99 | #151964 | — | 2 | 1 | no | — |
| 100 | #151086 | — | 2 | 4 | no | — |
| 101 | #151085 | — | 2 | 8 | no | — |
| 102 | #151085 | — | 2 | 8 | no | — |
| 103 | #151085 | — | 2 | 4 | no | — |
| 104 | #151085 | — | 2 | 4 | no | — |
| 105 | #151085 | — | 2 | 4 | no | — |
| 106 | #151085 | D4 | 1 | 8 | yes | complemented |
| 107 | C2×#7464 | C23 | 1 | 1 | yes | characteristic |
| 108 | C2×#7464 | C23 | 1 | 1 | yes | characteristic |
| 109 | C2×#7463 | — | 2 | 1 | no | — |
| 110 | C2×#7463 | — | 2 | 4 | no | — |
| 111 | C2×#7463 | C23 | 1 | 2 | yes | — |
| 112 | C2×#7388 | — | 2 | 1 | no | — |
| 113 | C2×#7388 | — | 2 | 1 | no | — |
| 114 | C2×#7385 | — | 2 | 8 | no | — |
| 115 | C2×#7385 | — | 2 | 2 | no | — |
| 116 | C2×#7385 | — | 2 | 2 | no | — |
| 117 | C2×#7330 | — | 2 | 4 | no | — |
| 118 | C2×#7330 | D4 | 1 | 1 | yes | characteristic |
| 119 | C2×#7330 | D4 | 1 | 1 | yes | characteristic |
| 120 | C2×#7330 | C23 | 1 | 1 | yes | characteristic |
| 121 | C2×#7330 | C23 | 1 | 1 | yes | characteristic |
| 122 | #140732 | — | 2 | 1 | no | — |
| 123 | #140348 | — | 2 | 1 | no | — |
| 124 | #140180 | — | 4 | 1 | no | — |
| 125 | #137623 | — | 4 | 1 | no | — |
| 126 | #134679 | — | 2 | 1 | no | — |
| 127 | #129143 | — | 2 | 1 | no | — |
| 128 | #128674 | — | 4 | 1 | no | — |
| 129 | #94767 | C2×C4 | 1 | 2 | yes | — |
| 130 | #94764 | C2×C4 | 1 | 2 | yes | — |
| 131 | #94756 | — | 2 | 1 | no | — |
| 132 | #94756 | C2×C4 | 1 | 2 | yes | — |
| 133 | #94754 | — | 2 | 4 | no | — |
| 134 | #94614 | — | 2 | 4 | no | — |
| 135 | #94614 | — | 2 | 4 | no | — |
| 136 | #94613 | — | 2 | 4 | no | — |
| 137 | #94506 | — | 2 | 4 | no | — |
| 138 | #94055 | — | 2 | 1 | no | — |
| 139 | #94055 | — | 2 | 1 | no | — |
| 140 | #94028 | — | 2 | 1 | no | — |
| 141 | C23×D16 | — | 2 | 1 | no | — |
| 142 | C22×C4×D8 | — | 4 | 1 | no | — |
| 143 | C22×C8×D4 | — | 8 | 1 | no | — |
| 144 | C2×#2262 | C22×C4 | 1 | 1 | yes | characteristic |
| 145 | C22×D32 | — | 2 | 4 | no | — |
| 146 | C22×D32 | — | 2 | 4 | no | — |
| 147 | C22×D32 | — | 2 | 1 | no | — |
| 148 | C22×D32 | — | 2 | 2 | no | — |
| 149 | C22×D32 | C2×C8 | 1 | 4 | yes | — |
| 150 | C22×D32 | C22×C4 | 1 | 2 | yes | — |
| 151 | C23×C32 | — | 2 | 1 | no | — |
| 152 | C23×C32 | C22×C4 | 1 | 1 | yes | characteristic |
| 153 | C23×C32 | #41 | 1 | 1 | yes | characteristic |
| 154 | #33600 | — | 2 | 1 | no | — |
| 155 | C2×#2178 | — | 2 | 1 | no | — |
| 156 | C2×C4×D16 | — | 2 | 4 | no | — |
| 157 | C2×C4×D16 | — | 2 | 4 | no | — |
| 158 | C2×C4×D16 | — | 2 | 2 | no | — |
| 159 | C2×C4×D16 | — | 2 | 2 | no | — |
| 160 | C2×C4×D16 | — | 4 | 2 | no | — |
| 161 | C2×C4×D16 | — | 4 | 2 | no | — |
| 162 | C2×C4×D16 | — | 4 | 1 | no | — |
| 163 | C2×C4×D16 | — | 4 | 1 | no | — |
| 164 | C2×#2170 | — | 4 | 1 | no | — |
| 165 | #33432 | — | 8 | 1 | no | — |
| 166 | C22×#366 | — | 2 | 1 | no | — |
| 167 | C22×#357 | — | 4 | 1 | no | — |
| 168 | C22×C4×C16 | D8 | 1 | 1 | yes | characteristic |
| 169 | C22×C4×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 170 | #21544 | — | 4 | 1 | no | — |
| 171 | C2×C8×D8 | — | 4 | 8 | no | — |
| 172 | C2×C8×D8 | — | 4 | 2 | no | — |
| 173 | C2×C8×D8 | — | 4 | 2 | no | — |
| 174 | C2×C8×D8 | — | 8 | 4 | no | — |
| 175 | C2×C8×D8 | — | 8 | 1 | no | — |
| 176 | C2×C8×D8 | — | 8 | 1 | no | — |
| 177 | C22×#335 | — | 4 | 1 | no | — |
| 178 | C22×D4⋊C8 | — | 8 | 1 | no | — |
| 179 | C22×C82 | D8 | 1 | 1 | yes | characteristic |
| 180 | #13742 | — | 2 | 4 | no | — |
| 181 | #13742 | — | 2 | 4 | no | — |
| 182 | C2×SD128 | C2×C8 | 1 | 4 | yes | complemented |
| 183 | C2×D64 | C2×C8 | 1 | 4 | yes | complemented |
| 184 | C2×M128 | — | 2 | 2 | no | — |
| 185 | C2×M128 | C22×C4 | 1 | 2 | yes | — |
| 186 | C2×M128 | C22×C4 | 1 | 2 | yes | — |
| 187 | #13696 | — | 2 | 2 | no | — |
| 188 | #13695 | C2×C8 | 1 | 2 | yes | complemented |
| 189 | #13694 | C2×C8 | 1 | 2 | yes | complemented |
| 190 | #13656 | — | 2 | 2 | no | — |
| 191 | #13656 | — | 2 | 2 | no | — |
| 192 | #13654 | — | 2 | 4 | no | — |
| 193 | #13654 | — | 2 | 8 | no | — |
| 194 | #13654 | — | 2 | 4 | no | — |
| 195 | #13654 | — | 2 | 4 | no | — |
| 196 | #13654 | — | 2 | 4 | no | — |
| 197 | #13654 | — | 2 | 2 | no | — |
| 198 | #13654 | — | 2 | 2 | no | — |
| 199 | #13654 | C2×D4 | 1 | 4 | yes | — |
| 200 | #13654 | #41 | 1 | 4 | yes | — |
| 201 | C2×#1425 | C22×C4 | 1 | 1 | yes | characteristic |
| 202 | C2×#1425 | C22×C4 | 1 | 1 | yes | characteristic |
| 203 | #13633 | C22×C4 | 1 | 1 | yes | characteristic |
| 204 | C2×#1424 | — | 2 | 1 | no | — |
| 205 | C2×#1424 | — | 2 | 4 | no | — |
| 206 | C2×#1424 | C22×C4 | 1 | 2 | yes | — |
| 207 | C2×#1417 | — | 2 | 1 | no | — |
| 208 | C2×#1417 | — | 2 | 1 | no | — |
| 209 | #13615 | — | 2 | 1 | no | — |
| 210 | C2×#1415 | — | 2 | 8 | no | — |
| 211 | C2×#1415 | — | 2 | 2 | no | — |
| 212 | C2×#1415 | — | 2 | 2 | no | — |
| 213 | C2×#1397 | — | 2 | 2 | no | — |
| 214 | C2×#1397 | — | 2 | 2 | no | — |
| 215 | C2×#1397 | — | 2 | 2 | no | — |
| 216 | C2×#1397 | — | 2 | 1 | no | — |
| 217 | C2×#1397 | — | 4 | 1 | no | — |
| 218 | C2×#1397 | C22×C4 | 1 | 1 | yes | characteristic |
| 219 | C2×#1397 | C2×D4 | 1 | 1 | yes | characteristic |
| 220 | C2×#1397 | C2×D4 | 1 | 1 | yes | characteristic |
| 221 | C2×#1397 | C2×D4 | 1 | 1 | yes | characteristic |
| 222 | C2×#1397 | #41 | 1 | 1 | yes | characteristic |
| 223 | C2×#1397 | C24 | 1 | 1 | yes | characteristic |
| 224 | #13241 | — | 2 | 1 | no | — |
| 225 | #13195 | — | 4 | 1 | no | — |
| 226 | #13169 | — | 2 | 1 | no | — |
| 227 | #13161 | — | 4 | 1 | no | — |
| 228 | #13151 | — | 4 | 1 | no | — |
| 229 | #13124 | — | 8 | 1 | no | — |
| 230 | #13063 | — | 4 | 1 | no | — |
| 231 | #12983 | — | 8 | 1 | no | — |
| 232 | #12837 | — | 2 | 1 | no | — |
| 233 | #12788 | — | 4 | 1 | no | — |
| 234 | #12670 | — | 2 | 1 | no | — |
| 235 | #12664 | — | 4 | 1 | no | — |
| 236 | #12641 | — | 4 | 1 | no | — |
| 237 | #12614 | — | 8 | 1 | no | — |
| 238 | #12047 | — | 4 | 2 | no | — |
| 239 | #12047 | — | 4 | 2 | no | — |
| 240 | #12045 | — | 2 | 8 | no | — |
| 241 | #12045 | — | 2 | 8 | no | — |
| 242 | #12045 | — | 4 | 4 | no | — |
| 243 | #12045 | — | 4 | 8 | no | — |
| 244 | #12045 | — | 4 | 8 | no | — |
| 245 | #12045 | — | 4 | 4 | no | — |
| 246 | C2×#1373 | — | 2 | 1 | no | — |
| 247 | C2×#1373 | — | 2 | 1 | no | — |
| 248 | C2×#1372 | — | 2 | 4 | no | — |
| 249 | C2×#1372 | — | 2 | 2 | no | — |
| 250 | C2×#1372 | — | 4 | 2 | no | — |
| 251 | C2×#1372 | — | 4 | 1 | no | — |
| 252 | C2×#1335 | — | 4 | 1 | no | — |
| 253 | C2×#1335 | — | 4 | 1 | no | — |
| 254 | C2×#1331 | — | 4 | 8 | no | — |
| 255 | C2×#1331 | — | 4 | 2 | no | — |
| 256 | C2×#1331 | — | 4 | 2 | no | — |
| 257 | C2×#1311 | — | 2 | 2 | no | — |
| 258 | C2×#1311 | — | 2 | 2 | no | — |
| 259 | C2×#1311 | D8 | 1 | 1 | yes | characteristic |
| 260 | C2×#1311 | D8 | 1 | 1 | yes | characteristic |
| 261 | C2×#1311 | C2×D4 | 1 | 1 | yes | characteristic |
| 262 | C2×#1311 | C2×D4 | 1 | 1 | yes | characteristic |
| 263 | #7548 | — | 2 | 4 | no | — |
| 264 | #7541 | — | 2 | 4 | no | — |
| 265 | #7541 | — | 2 | 4 | no | — |
| 266 | #7540 | — | 2 | 4 | no | — |
| 267 | #7537 | C2×C8 | 1 | 8 | yes | complemented |
| 268 | C22⋊C64 | — | 2 | 4 | no | — |
| 269 | C22⋊C64 | — | 2 | 2 | no | — |
| 270 | C22⋊C64 | C2×C8 | 1 | 4 | yes | complemented |
| 271 | #7511 | — | 2 | 2 | no | — |
| 272 | #7511 | — | 2 | 2 | no | — |
| 273 | #7511 | — | 2 | 2 | no | — |
| 274 | #7511 | — | 2 | 2 | no | — |
| 275 | #7473 | — | 2 | 1 | no | — |
| 276 | #7473 | — | 2 | 1 | no | — |
| 277 | #7472 | — | 2 | 1 | no | — |
| 278 | #7464 | — | 2 | 2 | no | — |
| 279 | #7464 | — | 2 | 2 | no | — |
| 280 | #7463 | — | 2 | 4 | no | — |
| 281 | #7463 | — | 2 | 2 | no | — |
| 282 | #7463 | C2×D4 | 1 | 4 | yes | — |
| 283 | #7388 | — | 4 | 2 | no | — |
| 284 | #7388 | — | 4 | 2 | no | — |
| 285 | #7385 | — | 2 | 8 | no | — |
| 286 | #7385 | — | 2 | 8 | no | — |
| 287 | #7330 | — | 2 | 2 | no | — |
| 288 | #7330 | — | 2 | 2 | no | — |
| 289 | #7330 | — | 2 | 2 | no | — |
| 290 | #7330 | C2×D4 | 1 | 4 | yes | — |
| 291 | #7179 | — | 4 | 1 | no | — |
| 292 | #7179 | — | 4 | 1 | no | — |
| 293 | #7160 | — | 4 | 1 | no | — |
| 294 | C23×D8 | — | 4 | 1 | no | — |
| 295 | C24×C8 | — | 16 | 1 | no | — |
| 296 | C22×C4×D4 | — | 8 | 1 | no | — |
| 297 | C2×#508 | — | 2 | 1 | no | — |
| 298 | C22×D16 | — | 2 | 4 | no | — |
| 299 | C22×D16 | — | 2 | 4 | no | — |
| 300 | C22×D16 | — | 2 | 2 | no | — |
| 301 | C22×D16 | — | 2 | 4 | no | — |
| 302 | C22×D16 | — | 4 | 2 | no | — |
| 303 | C22×D16 | — | 4 | 2 | no | — |
| 304 | C22×D16 | — | 4 | 1 | no | — |
| 305 | C22×D16 | — | 4 | 2 | no | — |
| 306 | C2×#504 | — | 8 | 1 | no | — |
| 307 | C23×C16 | — | 2 | 1 | no | — |
| 308 | C23×C16 | C4×D4 | 1 | 1 | yes | characteristic |
| 309 | C23×C16 | #135 | 1 | 1 | yes | characteristic |
| 310 | #3050 | — | 4 | 1 | no | — |
| 311 | C2×#443 | — | 4 | 1 | no | — |
| 312 | C2×C4×D8 | — | 4 | 4 | no | — |
| 313 | C2×C4×D8 | — | 4 | 4 | no | — |
| 314 | C2×C4×D8 | — | 4 | 2 | no | — |
| 315 | C2×C4×D8 | — | 4 | 2 | no | — |
| 316 | C2×C4×D8 | — | 8 | 2 | no | — |
| 317 | C2×C4×D8 | — | 8 | 2 | no | — |
| 318 | C2×C4×D8 | — | 8 | 1 | no | — |
| 319 | C2×C4×D8 | — | 8 | 1 | no | — |
| 320 | #2929 | — | 8 | 1 | no | — |
| 321 | C2×C8×D4 | — | 8 | 8 | no | — |
| 322 | C2×C8×D4 | — | 8 | 2 | no | — |
| 323 | C2×C8×D4 | — | 8 | 2 | no | — |
| 324 | C2×C8×D4 | — | 16 | 1 | no | — |
| 325 | C2×C8×D4 | — | 16 | 1 | no | — |
| 326 | C2×C8×D4 | — | 16 | 4 | no | — |
| 327 | C22×#107 | — | 4 | 1 | no | — |
| 328 | C22×C4⋊C8 | — | 8 | 1 | no | — |
| 329 | C22×#102 | — | 8 | 1 | no | — |
| 330 | C22×C22⋊C8 | — | 16 | 1 | no | — |
| 331 | C22×C4×C8 | — | 2 | 1 | no | — |
| 332 | C22×C4×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 333 | #2262 | — | 2 | 2 | no | — |
| 334 | #2262 | — | 2 | 2 | no | — |
| 335 | C2×Q64 | C22×C8 | 1 | 1 | yes | characteristic, complemented |
| 336 | C2×SD64 | — | 2 | 1 | no | — |
| 337 | C2×D32 | — | 2 | 4 | no | — |
| 338 | C2×D32 | — | 2 | 4 | no | — |
| 339 | C2×D32 | — | 2 | 16 | no | — |
| 340 | C2×D32 | — | 2 | 16 | no | — |
| 341 | C2×D32 | — | 2 | 2 | no | — |
| 342 | C2×D32 | — | 2 | 2 | no | — |
| 343 | C2×D32 | — | 2 | 2 | no | — |
| 344 | C2×D32 | — | 2 | 4 | no | — |
| 345 | C2×D32 | C4×D4 | 1 | 4 | yes | — |
| 346 | C2×D32 | C22×C8 | 1 | 4 | yes | — |
| 347 | C2×D32 | C22×C8 | 1 | 1 | yes | characteristic, complemented |
| 348 | C2×D32 | #131 | 1 | 4 | yes | — |
| 349 | C22×C32 | — | 2 | 2 | no | — |
| 350 | C22×C32 | — | 2 | 2 | no | — |
| 351 | C22×C32 | — | 2 | 1 | no | — |
| 352 | C22×C32 | — | 2 | 1 | no | — |
| 353 | C22×C32 | — | 2 | 2 | no | — |
| 354 | C22×C32 | — | 2 | 2 | no | — |
| 355 | C22×C32 | — | 4 | 1 | no | — |
| 356 | C22×C32 | — | 4 | 2 | no | — |
| 357 | C22×C32 | — | 4 | 2 | no | — |
| 358 | C22×C32 | — | 4 | 2 | no | — |
| 359 | C22×C32 | C4×D4 | 1 | 1 | yes | characteristic |
| 360 | C22×C32 | C4×D4 | 1 | 1 | yes | characteristic |
| 361 | C22×C32 | C22×C8 | 1 | 2 | yes | — |
| 362 | C22×C32 | #131 | 1 | 2 | yes | — |
| 363 | C22×C32 | C23×C4 | 1 | 1 | yes | characteristic |
| 364 | C22×C32 | C2×#41 | 1 | 1 | yes | characteristic |
| 365 | #2217 | — | 4 | 2 | no | — |
| 366 | #2216 | — | 2 | 2 | no | — |
| 367 | #2215 | — | 2 | 2 | no | — |
| 368 | #2178 | — | 4 | 1 | no | — |
| 369 | #2178 | — | 4 | 1 | no | — |
| 370 | #2178 | — | 4 | 1 | no | — |
| 371 | #2178 | — | 4 | 1 | no | — |
| 372 | C4×D16 | — | 2 | 8 | no | — |
| 373 | C4×D16 | — | 2 | 4 | no | — |
| 374 | C4×D16 | — | 2 | 4 | no | — |
| 375 | C4×D16 | — | 4 | 4 | no | — |
| 376 | C4×D16 | — | 4 | 4 | no | — |
| 377 | C4×D16 | — | 4 | 4 | no | — |
| 378 | C4×D16 | — | 4 | 4 | no | — |
| 379 | C4×D16 | — | 4 | 4 | no | — |
| 380 | C4×D16 | — | 4 | 2 | no | — |
| 381 | C4×D16 | — | 4 | 2 | no | — |
| 382 | #2170 | — | 8 | 2 | no | — |
| 383 | #2170 | — | 8 | 2 | no | — |
| 384 | #2168 | — | 16 | 2 | no | — |
| 385 | D4×C16 | — | 16 | 2 | no | — |
| 386 | C2×#368 | — | 2 | 1 | no | — |
| 387 | C2×#368 | — | 2 | 1 | no | — |
| 388 | #2158 | — | 2 | 1 | no | — |
| 389 | C2×#366 | — | 2 | 4 | no | — |
| 390 | C2×#366 | — | 2 | 2 | no | — |
| 391 | C2×#366 | — | 4 | 2 | no | — |
| 392 | C2×#366 | — | 4 | 1 | no | — |
| 393 | C2×#364 | — | 4 | 1 | no | — |
| 394 | C2×#364 | — | 4 | 1 | no | — |
| 395 | #2151 | — | 8 | 1 | no | — |
| 396 | C2×#359 | — | 4 | 1 | no | — |
| 397 | C2×#359 | — | 4 | 1 | no | — |
| 398 | #2138 | — | 4 | 1 | no | — |
| 399 | C2×#357 | — | 4 | 4 | no | — |
| 400 | C2×#357 | — | 4 | 4 | no | — |
| 401 | C2×#357 | — | 4 | 2 | no | — |
| 402 | C2×#357 | — | 4 | 2 | no | — |
| 403 | C2×#350 | — | 8 | 1 | no | — |
| 404 | C2×#350 | — | 8 | 1 | no | — |
| 405 | #2113 | — | 8 | 1 | no | — |
| 406 | #2112 | — | 8 | 1 | no | — |
| 407 | #2108 | — | 8 | 1 | no | — |
| 408 | C2×C4×C16 | — | 2 | 1 | no | — |
| 409 | C2×C4×C16 | — | 2 | 1 | no | — |
| 410 | C2×C4×C16 | — | 2 | 1 | no | — |
| 411 | C2×C4×C16 | — | 2 | 1 | no | — |
| 412 | C2×C4×C16 | — | 2 | 2 | no | — |
| 413 | C2×C4×C16 | — | 2 | 1 | no | — |
| 414 | C2×C4×C16 | — | 4 | 1 | no | — |
| 415 | C2×C4×C16 | C4×D4 | 1 | 1 | yes | characteristic |
| 416 | C2×C4×C16 | C2×D8 | 1 | 1 | yes | characteristic |
| 417 | C2×C4×C16 | C2×D8 | 1 | 1 | yes | characteristic |
| 418 | C2×C4×C16 | C2×D8 | 1 | 1 | yes | characteristic |
| 419 | C2×C4×C16 | #135 | 1 | 1 | yes | characteristic |
| 420 | C2×C4×C16 | C22×D4 | 1 | 1 | yes | characteristic |
| 421 | #1974 | — | 4 | 1 | no | — |
| 422 | #1945 | — | 4 | 1 | no | — |
| 423 | #1937 | — | 8 | 1 | no | — |
| 424 | #1896 | — | 8 | 1 | no | — |
| 425 | #1810 | — | 4 | 1 | no | — |
| 426 | #1772 | — | 4 | 1 | no | — |
| 427 | #1764 | — | 8 | 1 | no | — |
| 428 | C8×D8 | — | 4 | 8 | no | — |
| 429 | C8×D8 | — | 4 | 8 | no | — |
| 430 | C8×D8 | — | 8 | 8 | no | — |
| 431 | C8×D8 | — | 8 | 8 | no | — |
| 432 | C8×D8 | — | 8 | 4 | no | — |
| 433 | C8×D8 | — | 8 | 4 | no | — |
| 434 | C2×#335 | — | 4 | 4 | no | — |
| 435 | C2×#335 | — | 4 | 2 | no | — |
| 436 | C2×#335 | — | 8 | 2 | no | — |
| 437 | C2×#335 | — | 8 | 1 | no | — |
| 438 | C2×D4⋊C8 | — | 8 | 8 | no | — |
| 439 | C2×D4⋊C8 | — | 8 | 2 | no | — |
| 440 | C2×D4⋊C8 | — | 8 | 2 | no | — |
| 441 | C2×C82 | — | 2 | 1 | no | — |
| 442 | C2×C82 | — | 2 | 2 | no | — |
| 443 | C2×C82 | — | 2 | 2 | no | — |
| 444 | C2×C82 | C2×D8 | 1 | 1 | yes | characteristic |
| 445 | C2×C82 | C2×D8 | 1 | 1 | yes | characteristic |
| 446 | SD128 | — | 2 | 8 | no | — |
| 447 | D64 | — | 2 | 8 | no | — |
| 448 | M128 | — | 2 | 2 | no | — |
| 449 | M128 | — | 2 | 2 | no | — |
| 450 | M128 | — | 2 | 2 | no | — |
| 451 | M128 | — | 2 | 2 | no | — |
| 452 | M128 | — | 4 | 2 | no | — |
| 453 | M128 | — | 4 | 2 | no | — |
| 454 | C2×C64 | — | 2 | 4 | no | — |
| 455 | C2×C64 | — | 2 | 2 | no | — |
| 456 | C2×C64 | C22×C8 | 1 | 4 | yes | complemented |
| 457 | #1425 | — | 2 | 2 | no | — |
| 458 | #1425 | — | 2 | 2 | no | — |
| 459 | #1424 | — | 2 | 4 | no | — |
| 460 | #1424 | — | 2 | 2 | no | — |
| 461 | #1424 | — | 2 | 1 | no | — |
| 462 | #1424 | C4×D4 | 1 | 4 | yes | — |
| 463 | #1423 | C22×C8 | 1 | 2 | yes | complemented |
| 464 | #1417 | — | 4 | 2 | no | — |
| 465 | #1417 | — | 4 | 2 | no | — |
| 466 | #1416 | — | 2 | 2 | no | — |
| 467 | #1415 | — | 2 | 8 | no | — |
| 468 | #1415 | — | 2 | 4 | no | — |
| 469 | #1415 | — | 2 | 4 | no | — |
| 470 | #1415 | — | 2 | 2 | no | — |
| 471 | #1397 | — | 2 | 2 | no | — |
| 472 | #1397 | — | 2 | 2 | no | — |
| 473 | #1397 | — | 2 | 1 | no | — |
| 474 | #1397 | — | 2 | 1 | no | — |
| 475 | #1397 | — | 2 | 1 | no | — |
| 476 | #1397 | — | 2 | 1 | no | — |
| 477 | #1397 | — | 2 | 1 | no | — |
| 478 | #1397 | — | 4 | 2 | no | — |
| 479 | #1397 | #120 | 1 | 2 | yes | — |
| 480 | #1397 | C22×D4 | 1 | 2 | yes | — |
| 481 | #1397 | C2×#41 | 1 | 2 | yes | — |
| 482 | #1382 | — | 4 | 1 | no | — |
| 483 | #1382 | — | 4 | 1 | no | — |
| 484 | #1381 | — | 4 | 1 | no | — |
| 485 | #1379 | — | 8 | 1 | no | — |
| 486 | #1379 | — | 8 | 1 | no | — |
| 487 | #1376 | — | 8 | 1 | no | — |
| 488 | #1373 | — | 4 | 1 | no | — |
| 489 | #1373 | — | 4 | 1 | no | — |
| 490 | #1373 | — | 4 | 1 | no | — |
| 491 | #1373 | — | 4 | 1 | no | — |
| 492 | #1372 | — | 2 | 4 | no | — |
| 493 | #1372 | — | 4 | 4 | no | — |
| 494 | #1372 | — | 4 | 2 | no | — |
| 495 | #1335 | — | 8 | 2 | no | — |
| 496 | #1335 | — | 8 | 2 | no | — |
| 497 | #1331 | — | 4 | 8 | no | — |
| 498 | #1331 | — | 4 | 8 | no | — |
| 499 | #1311 | — | 2 | 1 | no | — |
| 500 | #1311 | — | 2 | 1 | no | — |
| 501 | #1311 | — | 2 | 2 | no | — |
| 502 | #1311 | — | 2 | 2 | no | — |
| 503 | #1311 | #120 | 1 | 2 | yes | — |
| 504 | #1311 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 505 | C23×D4 | — | 8 | 1 | no | — |
| 506 | C24×C4 | — | 16 | 1 | no | — |
| 507 | C2×#135 | — | 4 | 1 | no | — |
| 508 | C22×D8 | — | 4 | 4 | no | — |
| 509 | C22×D8 | — | 4 | 4 | no | — |
| 510 | C22×D8 | — | 4 | 4 | no | — |
| 511 | C22×D8 | — | 4 | 2 | no | — |
| 512 | C22×D8 | — | 8 | 2 | no | — |
| 513 | C22×D8 | — | 8 | 2 | no | — |
| 514 | C22×D8 | — | 8 | 1 | no | — |
| 515 | C22×D8 | — | 8 | 2 | no | — |
| 516 | C2×#131 | — | 8 | 1 | no | — |
| 517 | C23×C8 | — | 4 | 1 | no | — |
| 518 | C23×C8 | — | 16 | 8 | no | — |
| 519 | C23×C8 | — | 16 | 2 | no | — |
| 520 | C23×C8 | — | 16 | 2 | no | — |
| 521 | C23×C8 | — | 16 | 1 | no | — |
| 522 | C23×C8 | — | 32 | 8 | no | — |
| 523 | C23×C8 | C4×D8 | 1 | 1 | yes | characteristic |
| 524 | C23×C8 | #509 | 1 | 1 | yes | characteristic |
| 525 | #525 | — | 8 | 1 | no | — |
| 526 | C2×C4×D4 | — | 8 | 4 | no | — |
| 527 | C2×C4×D4 | — | 8 | 4 | no | — |
| 528 | C2×C4×D4 | — | 8 | 2 | no | — |
| 529 | C2×C4×D4 | — | 8 | 2 | no | — |
| 530 | C2×C4×D4 | — | 16 | 1 | no | — |
| 531 | C2×C4×D4 | — | 16 | 2 | no | — |
| 532 | C2×C4×D4 | — | 16 | 1 | no | — |
| 533 | C2×C4×D4 | — | 16 | 2 | no | — |
| 534 | C22×C4⋊C4 | — | 8 | 1 | no | — |
| 535 | C22×C22⋊C4 | — | 16 | 1 | no | — |
| 536 | C22×C42 | #509 | 1 | 1 | yes | characteristic |
| 537 | #508 | — | 4 | 1 | no | — |
| 538 | #508 | — | 4 | 1 | no | — |
| 539 | #508 | — | 4 | 1 | no | — |
| 540 | #508 | — | 4 | 1 | no | — |
| 541 | C2×Q32 | — | 2 | 1 | no | — |
| 542 | C2×SD32 | — | 4 | 1 | no | — |
| 543 | C2×D16 | — | 2 | 16 | no | — |
| 544 | C2×D16 | — | 2 | 4 | no | — |
| 545 | C2×D16 | — | 2 | 1 | no | — |
| 546 | C2×D16 | — | 2 | 4 | no | — |
| 547 | C2×D16 | — | 2 | 4 | no | — |
| 548 | C2×D16 | — | 4 | 4 | no | — |
| 549 | C2×D16 | — | 4 | 8 | no | — |
| 550 | C2×D16 | — | 4 | 8 | no | — |
| 551 | C2×D16 | — | 4 | 8 | no | — |
| 552 | C2×D16 | — | 4 | 4 | no | — |
| 553 | C2×D16 | — | 4 | 4 | no | — |
| 554 | C2×D16 | — | 4 | 2 | no | — |
| 555 | C2×D16 | — | 4 | 2 | no | — |
| 556 | C2×D16 | — | 4 | 2 | no | — |
| 557 | #504 | — | 16 | 2 | no | — |
| 558 | #504 | — | 16 | 2 | no | — |
| 559 | C2×M32 | — | 8 | 1 | no | — |
| 560 | C2×M32 | — | 8 | 1 | no | — |
| 561 | C2×M32 | — | 16 | 1 | no | — |
| 562 | C22×C16 | — | 2 | 1 | no | — |
| 563 | C22×C16 | — | 2 | 1 | no | — |
| 564 | C22×C16 | — | 2 | 1 | no | — |
| 565 | C22×C16 | — | 2 | 1 | no | — |
| 566 | C22×C16 | — | 2 | 1 | no | — |
| 567 | C22×C16 | — | 2 | 2 | no | — |
| 568 | C22×C16 | — | 2 | 1 | no | — |
| 569 | C22×C16 | — | 2 | 1 | no | — |
| 570 | C22×C16 | — | 2 | 1 | no | — |
| 571 | C22×C16 | — | 4 | 1 | no | — |
| 572 | C22×C16 | — | 4 | 2 | no | — |
| 573 | C22×C16 | — | 4 | 2 | no | — |
| 574 | C22×C16 | — | 8 | 1 | no | — |
| 575 | C22×C16 | — | 16 | 1 | no | — |
| 576 | C22×C16 | C8×D4 | 1 | 2 | yes | — |
| 577 | C22×C16 | C4×D8 | 1 | 1 | yes | characteristic |
| 578 | C22×C16 | C4×D8 | 1 | 1 | yes | characteristic |
| 579 | C22×C16 | #443 | 1 | 2 | yes | — |
| 580 | C22×C16 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 581 | C22×C16 | C2×#135 | 1 | 1 | yes | characteristic |
| 582 | #467 | — | 4 | 2 | no | — |
| 583 | #466 | — | 4 | 2 | no | — |
| 584 | #465 | — | 8 | 2 | no | — |
| 585 | #443 | — | 8 | 1 | no | — |
| 586 | #443 | — | 8 | 1 | no | — |
| 587 | #443 | — | 8 | 1 | no | — |
| 588 | #443 | — | 8 | 1 | no | — |
| 589 | C4×D8 | — | 4 | 8 | no | — |
| 590 | C4×D8 | — | 4 | 4 | no | — |
| 591 | C4×D8 | — | 4 | 4 | no | — |
| 592 | C4×D8 | — | 8 | 4 | no | — |
| 593 | C4×D8 | — | 8 | 4 | no | — |
| 594 | C4×D8 | — | 8 | 4 | no | — |
| 595 | C4×D8 | — | 8 | 4 | no | — |
| 596 | C4×D8 | — | 8 | 4 | no | — |
| 597 | C4×D8 | — | 8 | 2 | no | — |
| 598 | C4×D8 | — | 8 | 2 | no | — |
| 599 | #435 | — | 16 | 2 | no | — |
| 600 | C8×D4 | — | 8 | 8 | no | — |
| 601 | C8×D4 | — | 8 | 8 | no | — |
| 602 | C8×D4 | — | 16 | 8 | no | — |
| 603 | C8×D4 | — | 16 | 8 | no | — |
| 604 | C8×D4 | — | 16 | 4 | no | — |
| 605 | C8×D4 | — | 16 | 4 | no | — |
| 606 | C8×D4 | — | 16 | 2 | no | — |
| 607 | C2×#108 | — | 4 | 1 | no | — |
| 608 | C2×#108 | — | 4 | 1 | no | — |
| 609 | #427 | — | 4 | 1 | no | — |
| 610 | C2×#107 | — | 4 | 4 | no | — |
| 611 | C2×#107 | — | 4 | 2 | no | — |
| 612 | C2×#107 | — | 8 | 2 | no | — |
| 613 | C2×#107 | — | 8 | 1 | no | — |
| 614 | #424 | — | 8 | 1 | no | — |
| 615 | C2×C4⋊C8 | — | 8 | 4 | no | — |
| 616 | C2×C4⋊C8 | — | 8 | 2 | no | — |
| 617 | C2×C4⋊C8 | — | 16 | 1 | no | — |
| 618 | C2×C4⋊C8 | — | 16 | 2 | no | — |
| 619 | C2×#104 | — | 8 | 1 | no | — |
| 620 | C2×#104 | — | 8 | 1 | no | — |
| 621 | #416 | — | 8 | 1 | no | — |
| 622 | C2×#102 | — | 8 | 4 | no | — |
| 623 | C2×#102 | — | 8 | 4 | no | — |
| 624 | C2×#102 | — | 8 | 2 | no | — |
| 625 | C2×#102 | — | 8 | 2 | no | — |
| 626 | #408 | — | 8 | 1 | no | — |
| 627 | #407 | — | 8 | 1 | no | — |
| 628 | C2×C22⋊C8 | — | 16 | 8 | no | — |
| 629 | C2×C22⋊C8 | — | 16 | 2 | no | — |
| 630 | C2×C22⋊C8 | — | 16 | 2 | no | — |
| 631 | #405 | — | 8 | 1 | no | — |
| 632 | C2×C4×C8 | — | 2 | 1 | no | — |
| 633 | C2×C4×C8 | — | 2 | 1 | no | — |
| 634 | C2×C4×C8 | — | 2 | 1 | no | — |
| 635 | C2×C4×C8 | — | 2 | 1 | no | — |
| 636 | C2×C4×C8 | — | 2 | 4 | no | — |
| 637 | C2×C4×C8 | — | 2 | 1 | no | — |
| 638 | C2×C4×C8 | — | 2 | 1 | no | — |
| 639 | C2×C4×C8 | — | 4 | 1 | no | — |
| 640 | C2×C4×C8 | — | 4 | 2 | no | — |
| 641 | C2×C4×C8 | C4×D8 | 1 | 1 | yes | characteristic |
| 642 | C2×C4×C8 | #509 | 1 | 1 | yes | characteristic |
| 643 | C2×C4×C8 | #509 | 1 | 1 | yes | characteristic |
| 644 | C2×C4×C8 | C22×D8 | 1 | 1 | yes | characteristic |
| 645 | Q64 | — | 2 | 2 | no | — |
| 646 | SD64 | — | 4 | 2 | no | — |
| 647 | D32 | — | 2 | 16 | no | — |
| 648 | D32 | — | 2 | 4 | no | — |
| 649 | D32 | — | 2 | 2 | no | — |
| 650 | D32 | — | 2 | 4 | no | — |
| 651 | D32 | — | 2 | 4 | no | — |
| 652 | D32 | C8×D4 | 1 | 8 | yes | — |
| 653 | C2×C32 | — | 2 | 1 | no | — |
| 654 | C2×C32 | — | 2 | 1 | no | — |
| 655 | C2×C32 | — | 2 | 1 | no | — |
| 656 | C2×C32 | — | 2 | 1 | no | — |
| 657 | C2×C32 | — | 2 | 4 | no | — |
| 658 | C2×C32 | — | 2 | 4 | no | — |
| 659 | C2×C32 | — | 2 | 2 | no | — |
| 660 | C2×C32 | — | 2 | 1 | no | — |
| 661 | C2×C32 | — | 2 | 1 | no | — |
| 662 | C2×C32 | — | 2 | 2 | no | — |
| 663 | C2×C32 | — | 2 | 1 | no | — |
| 664 | C2×C32 | — | 4 | 4 | no | — |
| 665 | C2×C32 | — | 4 | 1 | no | — |
| 666 | C2×C32 | — | 4 | 1 | no | — |
| 667 | C2×C32 | — | 4 | 1 | no | — |
| 668 | C2×C32 | — | 4 | 8 | no | — |
| 669 | C2×C32 | — | 4 | 1 | no | — |
| 670 | C2×C32 | C8×D4 | 1 | 2 | yes | — |
| 671 | C2×C32 | C2×C4×D4 | 1 | 2 | yes | — |
| 672 | C2×C32 | #525 | 1 | 2 | yes | — |
| 673 | C2×C32 | C23×C8 | 1 | 1 | yes | characteristic |
| 674 | C2×C32 | C2×#131 | 1 | 2 | yes | — |
| 675 | C2×C32 | C2×#131 | 1 | 1 | yes | characteristic |
| 676 | #368 | — | 4 | 1 | no | — |
| 677 | #368 | — | 4 | 1 | no | — |
| 678 | #368 | — | 4 | 1 | no | — |
| 679 | #368 | — | 4 | 1 | no | — |
| 680 | #367 | — | 4 | 1 | no | — |
| 681 | #366 | — | 2 | 2 | no | — |
| 682 | #366 | — | 2 | 4 | no | — |
| 683 | #366 | — | 4 | 4 | no | — |
| 684 | #366 | — | 4 | 2 | no | — |
| 685 | #364 | — | 8 | 1 | no | — |
| 686 | #364 | — | 8 | 1 | no | — |
| 687 | #364 | — | 8 | 1 | no | — |
| 688 | #364 | — | 8 | 1 | no | — |
| 689 | C4⋊C16 | — | 16 | 2 | no | — |
| 690 | #359 | — | 8 | 2 | no | — |
| 691 | #359 | — | 8 | 1 | no | — |
| 692 | #359 | — | 8 | 1 | no | — |
| 693 | #358 | — | 4 | 2 | no | — |
| 694 | #357 | — | 4 | 8 | no | — |
| 695 | #357 | — | 4 | 4 | no | — |
| 696 | #357 | — | 4 | 2 | no | — |
| 697 | #357 | — | 4 | 4 | no | — |
| 698 | #350 | — | 16 | 2 | no | — |
| 699 | #350 | — | 16 | 2 | no | — |
| 700 | C22⋊C16 | — | 16 | 2 | no | — |
| 701 | C22⋊C16 | — | 16 | 2 | no | — |
| 702 | #346 | — | 16 | 1 | no | — |
| 703 | C4×C16 | — | 2 | 1 | no | — |
| 704 | C4×C16 | — | 2 | 1 | no | — |
| 705 | C4×C16 | — | 2 | 1 | no | — |
| 706 | C4×C16 | — | 2 | 1 | no | — |
| 707 | C4×C16 | — | 2 | 1 | no | — |
| 708 | C4×C16 | — | 2 | 1 | no | — |
| 709 | C4×C16 | — | 2 | 1 | no | — |
| 710 | C4×C16 | — | 2 | 1 | no | — |
| 711 | C4×C16 | — | 2 | 1 | no | — |
| 712 | C4×C16 | — | 4 | 2 | no | — |
| 713 | C4×C16 | — | 16 | 1 | no | — |
| 714 | C4×C16 | #447 | 1 | 2 | yes | — |
| 715 | C4×C16 | C2×#120 | 1 | 1 | yes | characteristic |
| 716 | C4×C16 | #525 | 1 | 1 | yes | characteristic |
| 717 | C4×C16 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 718 | C4×C16 | #575 | 1 | 1 | yes | characteristic |
| 719 | #341 | — | 8 | 1 | no | — |
| 720 | #339 | — | 8 | 1 | no | — |
| 721 | #339 | — | 8 | 1 | no | — |
| 722 | #335 | — | 4 | 4 | no | — |
| 723 | #335 | — | 8 | 4 | no | — |
| 724 | #335 | — | 8 | 2 | no | — |
| 725 | D4⋊C8 | — | 8 | 8 | no | — |
| 726 | D4⋊C8 | — | 8 | 8 | no | — |
| 727 | C82 | — | 2 | 4 | no | — |
| 728 | C82 | — | 2 | 1 | no | — |
| 729 | C82 | — | 2 | 1 | no | — |
| 730 | C82 | #447 | 1 | 2 | yes | — |
| 731 | C82 | #509 | 1 | 2 | yes | — |
| 732 | C64 | — | 2 | 4 | no | — |
| 733 | C64 | — | 4 | 4 | no | — |
| 734 | C64 | — | 4 | 2 | no | — |
| 735 | C25 | — | 16 | 1 | no | — |
| 736 | C2×#41 | — | 8 | 1 | no | — |
| 737 | C22×D4 | — | 8 | 4 | no | — |
| 738 | C22×D4 | — | 8 | 4 | no | — |
| 739 | C22×D4 | — | 8 | 4 | no | — |
| 740 | C22×D4 | — | 8 | 2 | no | — |
| 741 | C22×D4 | — | 16 | 2 | no | — |
| 742 | C22×D4 | — | 16 | 2 | no | — |
| 743 | C22×D4 | — | 16 | 1 | no | — |
| 744 | C22×D4 | — | 16 | 2 | no | — |
| 745 | C23×C4 | — | 2 | 1 | no | — |
| 746 | C23×C4 | — | 16 | 4 | no | — |
| 747 | C23×C4 | — | 16 | 2 | no | — |
| 748 | C23×C4 | — | 16 | 4 | no | — |
| 749 | C23×C4 | — | 16 | 2 | no | — |
| 750 | C23×C4 | — | 16 | 1 | no | — |
| 751 | C23×C4 | — | 32 | 4 | no | — |
| 752 | C23×C4 | — | 32 | 4 | no | — |
| 753 | C23×C4 | #2177 | 1 | 1 | yes | characteristic |
| 754 | #135 | — | 8 | 1 | no | — |
| 755 | #135 | — | 8 | 1 | no | — |
| 756 | #135 | — | 8 | 1 | no | — |
| 757 | #135 | — | 8 | 1 | no | — |
| 758 | C2×Q16 | — | 4 | 1 | no | — |
| 759 | C2×SD16 | — | 8 | 1 | no | — |
| 760 | C2×D8 | — | 4 | 16 | no | — |
| 761 | C2×D8 | — | 4 | 4 | no | — |
| 762 | C2×D8 | — | 4 | 1 | no | — |
| 763 | C2×D8 | — | 4 | 4 | no | — |
| 764 | C2×D8 | — | 4 | 4 | no | — |
| 765 | C2×D8 | — | 8 | 4 | no | — |
| 766 | C2×D8 | — | 8 | 8 | no | — |
| 767 | C2×D8 | — | 8 | 8 | no | — |
| 768 | C2×D8 | — | 8 | 8 | no | — |
| 769 | C2×D8 | — | 8 | 4 | no | — |
| 770 | C2×D8 | — | 8 | 4 | no | — |
| 771 | C2×D8 | — | 8 | 2 | no | — |
| 772 | C2×D8 | — | 8 | 2 | no | — |
| 773 | C2×D8 | — | 8 | 2 | no | — |
| 774 | #131 | — | 16 | 1 | no | — |
| 775 | #131 | — | 16 | 1 | no | — |
| 776 | #131 | — | 16 | 1 | no | — |
| 777 | #131 | — | 16 | 1 | no | — |
| 778 | C2×M16 | — | 8 | 1 | no | — |
| 779 | C2×M16 | — | 8 | 1 | no | — |
| 780 | C2×M16 | — | 16 | 1 | no | — |
| 781 | C22×C8 | — | 2 | 1 | no | — |
| 782 | C22×C8 | — | 2 | 1 | no | — |
| 783 | C22×C8 | — | 2 | 1 | no | — |
| 784 | C22×C8 | — | 2 | 1 | no | — |
| 785 | C22×C8 | — | 2 | 2 | no | — |
| 786 | C22×C8 | — | 2 | 1 | no | — |
| 787 | C22×C8 | — | 2 | 1 | no | — |
| 788 | C22×C8 | — | 4 | 1 | no | — |
| 789 | C22×C8 | — | 4 | 4 | no | — |
| 790 | C22×C8 | — | 4 | 1 | no | — |
| 791 | C22×C8 | — | 4 | 1 | no | — |
| 792 | C22×C8 | — | 8 | 4 | no | — |
| 793 | C22×C8 | — | 16 | 1 | no | — |
| 794 | C22×C8 | — | 16 | 8 | no | — |
| 795 | C22×C8 | — | 16 | 8 | no | — |
| 796 | C22×C8 | — | 16 | 4 | no | — |
| 797 | C22×C8 | — | 16 | 2 | no | — |
| 798 | C22×C8 | — | 32 | 32 | no | — |
| 799 | C22×C8 | — | 32 | 8 | no | — |
| 800 | C22×C8 | — | 32 | 8 | no | — |
| 801 | C22×C8 | — | 32 | 4 | no | — |
| 802 | C22×C8 | C8×D8 | 1 | 2 | yes | — |
| 803 | C22×C8 | #2177 | 1 | 1 | yes | characteristic |
| 804 | C22×C8 | #2177 | 1 | 1 | yes | characteristic |
| 805 | C22×C8 | #2179 | 1 | 2 | yes | — |
| 806 | C22×C8 | C2×C4×D8 | 1 | 1 | yes | characteristic |
| 807 | C22×C8 | C2×#509 | 1 | 1 | yes | characteristic |
| 808 | #123 | — | 16 | 1 | no | — |
| 809 | C22⋊Q8 | — | 8 | 2 | no | — |
| 810 | #121 | — | 8 | 2 | no | — |
| 811 | #120 | — | 16 | 1 | no | — |
| 812 | C4×D4 | — | 8 | 8 | no | — |
| 813 | C4×D4 | — | 8 | 4 | no | — |
| 814 | C4×D4 | — | 8 | 4 | no | — |
| 815 | C4×D4 | — | 16 | 4 | no | — |
| 816 | C4×D4 | — | 16 | 4 | no | — |
| 817 | C4×D4 | — | 16 | 4 | no | — |
| 818 | C4×D4 | — | 16 | 2 | no | — |
| 819 | C4×D4 | — | 16 | 4 | no | — |
| 820 | C4×D4 | — | 16 | 2 | no | — |
| 821 | C4×D4 | — | 16 | 2 | no | — |
| 822 | C4×D4 | — | 16 | 4 | no | — |
| 823 | #117 | — | 8 | 1 | no | — |
| 824 | C2×C4⋊C4 | — | 8 | 4 | no | — |
| 825 | C2×C4⋊C4 | — | 8 | 2 | no | — |
| 826 | C2×C4⋊C4 | — | 16 | 2 | no | — |
| 827 | C2×C4⋊C4 | — | 16 | 1 | no | — |
| 828 | C2×C22⋊C4 | — | 16 | 4 | no | — |
| 829 | C2×C22⋊C4 | — | 16 | 4 | no | — |
| 830 | C2×C22⋊C4 | — | 16 | 2 | no | — |
| 831 | C2×C22⋊C4 | — | 16 | 2 | no | — |
| 832 | C2×C42 | — | 2 | 1 | no | — |
| 833 | C2×C42 | — | 2 | 2 | no | — |
| 834 | C2×C42 | — | 2 | 1 | no | — |
| 835 | C2×C42 | — | 2 | 1 | no | — |
| 836 | C2×C42 | #2177 | 1 | 1 | yes | characteristic |
| 837 | C2×C42 | C2×#509 | 1 | 1 | yes | characteristic |
| 838 | Q32 | — | 4 | 1 | no | — |
| 839 | Q32 | — | 4 | 1 | no | — |
| 840 | SD32 | — | 8 | 1 | no | — |
| 841 | SD32 | — | 8 | 1 | no | — |
| 842 | D16 | — | 2 | 8 | no | — |
| 843 | D16 | — | 4 | 16 | no | — |
| 844 | D16 | — | 4 | 4 | no | — |
| 845 | D16 | — | 4 | 1 | no | — |
| 846 | D16 | — | 4 | 1 | no | — |
| 847 | D16 | — | 4 | 4 | no | — |
| 848 | D16 | — | 4 | 4 | no | — |
| 849 | M32 | — | 16 | 1 | no | — |
| 850 | M32 | — | 16 | 1 | no | — |
| 851 | M32 | — | 16 | 1 | no | — |
| 852 | M32 | — | 16 | 1 | no | — |
| 853 | M32 | — | 32 | 2 | no | — |
| 854 | C2×C16 | — | 2 | 1 | no | — |
| 855 | C2×C16 | — | 2 | 1 | no | — |
| 856 | C2×C16 | — | 2 | 1 | no | — |
| 857 | C2×C16 | — | 2 | 1 | no | — |
| 858 | C2×C16 | — | 2 | 2 | no | — |
| 859 | C2×C16 | — | 2 | 2 | no | — |
| 860 | C2×C16 | — | 2 | 2 | no | — |
| 861 | C2×C16 | — | 2 | 2 | no | — |
| 862 | C2×C16 | — | 2 | 1 | no | — |
| 863 | C2×C16 | — | 2 | 1 | no | — |
| 864 | C2×C16 | — | 2 | 1 | no | — |
| 865 | C2×C16 | — | 2 | 2 | no | — |
| 866 | C2×C16 | — | 4 | 2 | no | — |
| 867 | C2×C16 | — | 4 | 2 | no | — |
| 868 | C2×C16 | — | 4 | 1 | no | — |
| 869 | C2×C16 | — | 4 | 1 | no | — |
| 870 | C2×C16 | — | 4 | 1 | no | — |
| 871 | C2×C16 | — | 4 | 1 | no | — |
| 872 | C2×C16 | — | 4 | 1 | no | — |
| 873 | C2×C16 | — | 8 | 4 | no | — |
| 874 | C2×C16 | — | 16 | 1 | no | — |
| 875 | C2×C16 | — | 16 | 1 | no | — |
| 876 | C2×C16 | — | 32 | 2 | no | — |
| 877 | C2×C16 | C8×D8 | 1 | 2 | yes | — |
| 878 | C2×C16 | C4×#120 | 1 | 1 | yes | characteristic |
| 879 | C2×C16 | C2×C8×D4 | 1 | 1 | yes | characteristic |
| 880 | C2×C16 | #2929 | 1 | 1 | yes | characteristic |
| 881 | C2×C16 | C4×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 882 | C2×C16 | C2×#443 | 1 | 1 | yes | characteristic |
| 883 | C2×C16 | #2955 | 1 | 1 | yes | characteristic |
| 884 | C2×C16 | #3002 | 1 | 1 | yes | characteristic |
| 885 | C2×C16 | #3105 | 1 | 1 | yes | characteristic |
| 886 | #108 | — | 8 | 1 | no | — |
| 887 | #108 | — | 8 | 1 | no | — |
| 888 | #108 | — | 8 | 1 | no | — |
| 889 | #108 | — | 8 | 1 | no | — |
| 890 | #107 | — | 4 | 2 | no | — |
| 891 | #107 | — | 4 | 4 | no | — |
| 892 | #107 | — | 8 | 4 | no | — |
| 893 | #107 | — | 8 | 2 | no | — |
| 894 | #106 | — | 8 | 1 | no | — |
| 895 | C4⋊C8 | — | 8 | 4 | no | — |
| 896 | C4⋊C8 | — | 16 | 4 | no | — |
| 897 | C4⋊C8 | — | 16 | 2 | no | — |
| 898 | C4⋊C8 | — | 16 | 2 | no | — |
| 899 | #104 | — | 16 | 2 | no | — |
| 900 | #104 | — | 16 | 1 | no | — |
| 901 | #104 | — | 16 | 1 | no | — |
| 902 | #103 | — | 8 | 2 | no | — |
| 903 | #102 | — | 8 | 8 | no | — |
| 904 | #102 | — | 8 | 2 | no | — |
| 905 | #102 | — | 8 | 4 | no | — |
| 906 | #102 | — | 8 | 4 | no | — |
| 907 | C22⋊C8 | — | 16 | 2 | no | — |
| 908 | C22⋊C8 | — | 16 | 8 | no | — |
| 909 | C22⋊C8 | — | 16 | 8 | no | — |
| 910 | C22⋊C8 | — | 16 | 2 | no | — |
| 911 | #97 | — | 16 | 1 | no | — |
| 912 | C4×C8 | — | 2 | 1 | no | — |
| 913 | C4×C8 | — | 2 | 1 | no | — |
| 914 | C4×C8 | — | 2 | 1 | no | — |
| 915 | C4×C8 | — | 2 | 1 | no | — |
| 916 | C4×C8 | — | 2 | 1 | no | — |
| 917 | C4×C8 | — | 2 | 1 | no | — |
| 918 | C4×C8 | — | 2 | 2 | no | — |
| 919 | C4×C8 | — | 2 | 2 | no | — |
| 920 | C4×C8 | — | 4 | 4 | no | — |
| 921 | C4×C8 | — | 4 | 1 | no | — |
| 922 | C4×C8 | — | 4 | 1 | no | — |
| 923 | C4×C8 | — | 16 | 1 | no | — |
| 924 | C4×C8 | C2×#447 | 1 | 1 | yes | characteristic |
| 925 | C4×C8 | #3100 | 1 | 1 | yes | characteristic |
| 926 | C4×C8 | C2×#509 | 1 | 1 | yes | characteristic |
| 927 | C4×C8 | #3414 | 1 | 1 | yes | characteristic |
| 928 | C32 | — | 2 | 2 | no | — |
| 929 | C32 | — | 2 | 2 | no | — |
| 930 | C32 | — | 4 | 2 | no | — |
| 931 | C32 | — | 4 | 2 | no | — |
| 932 | C32 | — | 4 | 1 | no | — |
| 933 | C32 | C2×C8×D4 | 1 | 2 | yes | — |
| 934 | C32 | #2929 | 1 | 2 | yes | — |
| 935 | C24 | — | 16 | 4 | no | — |
| 936 | C24 | — | 16 | 4 | no | — |
| 937 | C24 | — | 16 | 2 | no | — |
| 938 | C24 | — | 16 | 4 | no | — |
| 939 | C24 | — | 32 | 4 | no | — |
| 940 | C24 | — | 32 | 4 | no | — |
| 941 | C24 | #13658 | 1 | 1 | yes | characteristic |
| 942 | #41 | — | 16 | 1 | no | — |
| 943 | #41 | — | 16 | 1 | no | — |
| 944 | #41 | — | 16 | 1 | no | — |
| 945 | #41 | — | 16 | 1 | no | — |
| 946 | C2×Q8 | — | 8 | 1 | no | — |
| 947 | C2×D4 | — | 8 | 16 | no | — |
| 948 | C2×D4 | — | 8 | 4 | no | — |
| 949 | C2×D4 | — | 8 | 4 | no | — |
| 950 | C2×D4 | — | 8 | 4 | no | — |
| 951 | C2×D4 | — | 8 | 1 | no | — |
| 952 | C2×D4 | — | 16 | 4 | no | — |
| 953 | C2×D4 | — | 16 | 4 | no | — |
| 954 | C2×D4 | — | 16 | 8 | no | — |
| 955 | C2×D4 | — | 16 | 8 | no | — |
| 956 | C2×D4 | — | 16 | 8 | no | — |
| 957 | C2×D4 | — | 16 | 1 | no | — |
| 958 | C2×D4 | — | 16 | 2 | no | — |
| 959 | C2×D4 | — | 16 | 2 | no | — |
| 960 | C2×D4 | — | 16 | 2 | no | — |
| 961 | C2×D4 | — | 16 | 2 | no | — |
| 962 | C2×D4 | — | 16 | 4 | no | — |
| 963 | C22×C4 | — | 2 | 1 | no | — |
| 964 | C22×C4 | — | 2 | 1 | no | — |
| 965 | C22×C4 | — | 2 | 1 | no | — |
| 966 | C22×C4 | — | 2 | 1 | no | — |
| 967 | C22×C4 | — | 2 | 2 | no | — |
| 968 | C22×C4 | — | 2 | 2 | no | — |
| 969 | C22×C4 | — | 2 | 1 | no | — |
| 970 | C22×C4 | — | 2 | 1 | no | — |
| 971 | C22×C4 | — | 4 | 4 | no | — |
| 972 | C22×C4 | — | 16 | 4 | no | — |
| 973 | C22×C4 | — | 16 | 8 | no | — |
| 974 | C22×C4 | — | 16 | 4 | no | — |
| 975 | C22×C4 | — | 16 | 4 | no | — |
| 976 | C22×C4 | — | 16 | 2 | no | — |
| 977 | C22×C4 | — | 16 | 1 | no | — |
| 978 | C22×C4 | — | 32 | 8 | no | — |
| 979 | C22×C4 | — | 32 | 4 | no | — |
| 980 | C22×C4 | — | 32 | 8 | no | — |
| 981 | C22×C4 | — | 32 | 4 | no | — |
| 982 | C22×C4 | — | 32 | 16 | no | — |
| 983 | C22×C4 | — | 32 | 8 | no | — |
| 984 | C22×C4 | — | 32 | 4 | no | — |
| 985 | C22×C4 | #12045 | 1 | 2 | yes | — |
| 986 | C22×C4 | #13658 | 1 | 2 | yes | — |
| 987 | C22×C4 | #13658 | 1 | 1 | yes | characteristic |
| 988 | C22×C4 | C2×#2177 | 1 | 1 | yes | characteristic |
| 989 | Q16 | — | 8 | 1 | no | — |
| 990 | Q16 | — | 8 | 1 | no | — |
| 991 | SD16 | — | 16 | 1 | no | — |
| 992 | SD16 | — | 16 | 1 | no | — |
| 993 | D8 | — | 4 | 8 | no | — |
| 994 | D8 | — | 8 | 16 | no | — |
| 995 | D8 | — | 8 | 1 | no | — |
| 996 | D8 | — | 8 | 4 | no | — |
| 997 | D8 | — | 8 | 4 | no | — |
| 998 | D8 | — | 8 | 4 | no | — |
| 999 | D8 | — | 8 | 1 | no | — |
| 1000 | M16 | — | 16 | 1 | no | — |
| 1001 | M16 | — | 16 | 1 | no | — |
| 1002 | M16 | — | 16 | 1 | no | — |
| 1003 | M16 | — | 16 | 1 | no | — |
| 1004 | M16 | — | 32 | 1 | no | — |
| 1005 | M16 | — | 32 | 1 | no | — |
| 1006 | C2×C8 | — | 2 | 1 | no | — |
| 1007 | C2×C8 | — | 2 | 1 | no | — |
| 1008 | C2×C8 | — | 2 | 1 | no | — |
| 1009 | C2×C8 | — | 2 | 1 | no | — |
| 1010 | C2×C8 | — | 2 | 2 | no | — |
| 1011 | C2×C8 | — | 2 | 2 | no | — |
| 1012 | C2×C8 | — | 2 | 2 | no | — |
| 1013 | C2×C8 | — | 2 | 2 | no | — |
| 1014 | C2×C8 | — | 2 | 1 | no | — |
| 1015 | C2×C8 | — | 2 | 1 | no | — |
| 1016 | C2×C8 | — | 2 | 1 | no | — |
| 1017 | C2×C8 | — | 4 | 2 | no | — |
| 1018 | C2×C8 | — | 4 | 2 | no | — |
| 1019 | C2×C8 | — | 4 | 2 | no | — |
| 1020 | C2×C8 | — | 4 | 2 | no | — |
| 1021 | C2×C8 | — | 8 | 8 | no | — |
| 1022 | C2×C8 | — | 8 | 2 | no | — |
| 1023 | C2×C8 | — | 8 | 2 | no | — |
| 1024 | C2×C8 | — | 16 | 4 | no | — |
| 1025 | C2×C8 | — | 16 | 1 | no | — |
| 1026 | C2×C8 | — | 16 | 1 | no | — |
| 1027 | C2×C8 | — | 32 | 1 | no | — |
| 1028 | C2×C8 | — | 32 | 1 | no | — |
| 1029 | C2×C8 | — | 32 | 16 | no | — |
| 1030 | C2×C8 | — | 32 | 16 | no | — |
| 1031 | C2×C8 | — | 32 | 8 | no | — |
| 1032 | C2×C8 | — | 32 | 4 | no | — |
| 1033 | C2×C8 | #12045 | 1 | 2 | yes | — |
| 1034 | C2×C8 | C2×C8×D8 | 1 | 1 | yes | characteristic |
| 1035 | C2×C8 | #17900 | 1 | 1 | yes | characteristic |
| 1036 | C2×C8 | C4×#447 | 1 | 1 | yes | characteristic |
| 1037 | C2×C8 | C4×#509 | 1 | 1 | yes | characteristic |
| 1038 | C2×C8 | C2×#2179 | 1 | 1 | yes | characteristic |
| 1039 | C2×C8 | #33463 | 1 | 1 | yes | characteristic |
| 1040 | C2×C8 | #33520 | 1 | 1 | yes | characteristic |
| 1041 | C2×C8 | #33669 | 1 | 1 | yes | characteristic |
| 1042 | C4⋊C4 | — | 8 | 4 | no | — |
| 1043 | C4⋊C4 | — | 8 | 2 | no | — |
| 1044 | C4⋊C4 | — | 16 | 4 | no | — |
| 1045 | C4⋊C4 | — | 16 | 2 | no | — |
| 1046 | C4⋊C4 | — | 16 | 2 | no | — |
| 1047 | C22⋊C4 | — | 16 | 8 | no | — |
| 1048 | C22⋊C4 | — | 16 | 4 | no | — |
| 1049 | C22⋊C4 | — | 16 | 4 | no | — |
| 1050 | C22⋊C4 | — | 16 | 1 | no | — |
| 1051 | C22⋊C4 | — | 16 | 2 | no | — |
| 1052 | C22⋊C4 | — | 16 | 2 | no | — |
| 1053 | C42 | — | 2 | 2 | no | — |
| 1054 | C42 | — | 2 | 2 | no | — |
| 1055 | C42 | — | 2 | 1 | no | — |
| 1056 | C42 | — | 2 | 1 | no | — |
| 1057 | C42 | — | 16 | 1 | no | — |
| 1058 | C42 | #13658 | 1 | 2 | yes | — |
| 1059 | C42 | #33517 | 1 | 1 | yes | characteristic |
| 1060 | C42 | #33674 | 1 | 1 | yes | characteristic |
| 1061 | C16 | — | 2 | 2 | no | — |
| 1062 | C16 | — | 2 | 1 | no | — |
| 1063 | C16 | — | 2 | 1 | no | — |
| 1064 | C16 | — | 4 | 2 | no | — |
| 1065 | C16 | — | 4 | 1 | no | — |
| 1066 | C16 | — | 8 | 1 | no | — |
| 1067 | C16 | — | 32 | 1 | no | — |
| 1068 | C16 | — | 32 | 1 | no | — |
| 1069 | C16 | C8×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1070 | C16 | #17910 | 1 | 1 | yes | characteristic |
| 1071 | C16 | C8×#120 | 1 | 1 | yes | characteristic |
| 1072 | C16 | #21466 | 1 | 1 | yes | characteristic |
| 1073 | C23 | — | 2 | 1 | no | — |
| 1074 | C23 | — | 2 | 4 | no | — |
| 1075 | C23 | — | 2 | 1 | no | — |
| 1076 | C23 | — | 16 | 16 | no | — |
| 1077 | C23 | — | 16 | 4 | no | — |
| 1078 | C23 | — | 16 | 4 | no | — |
| 1079 | C23 | — | 16 | 4 | no | — |
| 1080 | C23 | — | 16 | 1 | no | — |
| 1081 | C23 | — | 32 | 8 | no | — |
| 1082 | C23 | — | 32 | 4 | no | — |
| 1083 | C23 | — | 32 | 8 | no | — |
| 1084 | C23 | — | 32 | 16 | no | — |
| 1085 | C23 | — | 32 | 4 | no | — |
| 1086 | C23 | — | 32 | 8 | no | — |
| 1087 | C23 | — | 32 | 8 | no | — |
| 1088 | C23 | #151085 | 1 | 2 | yes | — |
| 1089 | C23 | C2×#13658 | 1 | 1 | yes | characteristic |
| 1090 | Q8 | — | 16 | 1 | no | — |
| 1091 | Q8 | — | 16 | 1 | no | — |
| 1092 | D4 | — | 8 | 8 | no | — |
| 1093 | D4 | — | 16 | 16 | no | — |
| 1094 | D4 | — | 16 | 4 | no | — |
| 1095 | D4 | — | 16 | 1 | no | — |
| 1096 | D4 | — | 16 | 1 | no | — |
| 1097 | D4 | — | 16 | 4 | no | — |
| 1098 | D4 | — | 16 | 4 | no | — |
| 1099 | D4 | — | 32 | 1 | no | — |
| 1100 | D4 | — | 32 | 4 | no | — |
| 1101 | D4 | — | 32 | 1 | no | — |
| 1102 | C2×C4 | — | 2 | 1 | no | — |
| 1103 | C2×C4 | — | 2 | 1 | no | — |
| 1104 | C2×C4 | — | 2 | 2 | no | — |
| 1105 | C2×C4 | — | 2 | 2 | no | — |
| 1106 | C2×C4 | — | 2 | 2 | no | — |
| 1107 | C2×C4 | — | 2 | 2 | no | — |
| 1108 | C2×C4 | — | 2 | 2 | no | — |
| 1109 | C2×C4 | — | 2 | 1 | no | — |
| 1110 | C2×C4 | — | 2 | 1 | no | — |
| 1111 | C2×C4 | — | 4 | 4 | no | — |
| 1112 | C2×C4 | — | 4 | 2 | no | — |
| 1113 | C2×C4 | — | 4 | 4 | no | — |
| 1114 | C2×C4 | — | 4 | 2 | no | — |
| 1115 | C2×C4 | — | 16 | 2 | no | — |
| 1116 | C2×C4 | — | 16 | 1 | no | — |
| 1117 | C2×C4 | — | 16 | 4 | no | — |
| 1118 | C2×C4 | — | 32 | 4 | no | — |
| 1119 | C2×C4 | — | 32 | 4 | no | — |
| 1120 | C2×C4 | — | 32 | 16 | no | — |
| 1121 | C2×C4 | — | 32 | 8 | no | — |
| 1122 | C2×C4 | — | 32 | 8 | no | — |
| 1123 | C2×C4 | — | 32 | 4 | no | — |
| 1124 | C2×C4 | — | 32 | 1 | no | — |
| 1125 | C2×C4 | — | 32 | 1 | no | — |
| 1126 | C2×C4 | #151085 | 1 | 2 | yes | — |
| 1127 | C2×C4 | C2×#12045 | 1 | 1 | yes | characteristic |
| 1128 | C2×C4 | #483852 | 1 | 1 | yes | characteristic |
| 1129 | C2×C4 | #495688 | 1 | 1 | yes | characteristic |
| 1130 | C2×C4 | C2×#13658 | 1 | 1 | yes | characteristic |
| 1131 | C2×C4 | C2×#13658 | 1 | 1 | yes | characteristic |
| 1132 | C2×C4 | #512778 | 1 | 1 | yes | characteristic |
| 1133 | C8 | — | 2 | 2 | no | — |
| 1134 | C8 | — | 2 | 1 | no | — |
| 1135 | C8 | — | 2 | 1 | no | — |
| 1136 | C8 | — | 4 | 1 | no | — |
| 1137 | C8 | — | 8 | 2 | no | — |
| 1138 | C8 | — | 8 | 2 | no | — |
| 1139 | C8 | — | 32 | 4 | no | — |
| 1140 | C8 | — | 32 | 1 | no | — |
| 1141 | C8 | — | 32 | 1 | no | — |
| 1142 | C8 | C8×#447 | 1 | 1 | yes | characteristic |
| 1143 | C8 | C8×#509 | 1 | 1 | yes | characteristic |
| 1144 | C8 | #483859 | 1 | 1 | yes | characteristic |
| 1145 | C8 | #495695 | 1 | 1 | yes | characteristic |
| 1146 | C22 | — | 2 | 4 | no | — |
| 1147 | C22 | — | 2 | 4 | no | — |
| 1148 | C22 | — | 2 | 2 | no | — |
| 1149 | C22 | — | 2 | 2 | no | — |
| 1150 | C22 | — | 2 | 2 | no | — |
| 1151 | C22 | — | 16 | 8 | no | — |
| 1152 | C22 | — | 32 | 4 | no | — |
| 1153 | C22 | — | 32 | 4 | no | — |
| 1154 | C22 | — | 32 | 8 | no | — |
| 1155 | C22 | — | 32 | 32 | no | — |
| 1156 | C22 | — | 32 | 8 | no | — |
| 1157 | C22 | — | 32 | 1 | no | — |
| 1158 | C22 | — | 32 | 2 | no | — |
| 1159 | C22 | C2×#151085 | 1 | 1 | yes | characteristic |
| 1160 | C22 | #72224652 | 1 | 4 | yes | complemented |
| 1161 | C22 | #72224984 | 1 | 1 | yes | characteristic |
| 1162 | C22 | #72232028 | 1 | 1 | yes | characteristic |
| 1163 | C4 | — | 2 | 2 | no | — |
| 1164 | C4 | — | 4 | 1 | no | — |
| 1165 | C4 | — | 4 | 2 | no | — |
| 1166 | C4 | — | 4 | 1 | no | — |
| 1167 | C4 | — | 32 | 4 | no | — |
| 1168 | C4 | — | 32 | 1 | no | — |
| 1169 | C4 | — | 32 | 2 | no | — |
| 1170 | C4 | #72223673 | 1 | 1 | yes | characteristic |
| 1171 | C4 | #72225501 | 1 | 1 | yes | characteristic |
| 1172 | C4 | #72286666 | 1 | 1 | yes | characteristic |
| 1173 | C4 | #72286674 | 1 | 1 | yes | characteristic |
| 1174 | C2 | — | 2 | 1 | no | — |
| 1175 | C2 | — | 2 | 1 | no | — |
| 1176 | C2 | — | 2 | 4 | no | — |
| 1177 | C2 | — | 32 | 8 | no | — |
| 1178 | C2 | — | 64 | 1 | no | — |
| 1179 | C2 | C2×#72224652 | 1 | 2 | yes | — |
| 1180 | C2 | #72286761 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | C2×#151085 |
| commutator | C2×C32 | C23×C8 |
| Frattini, cosocle | C2×#1397 | C24 |
| prime radical | #72286862 | C4 |
| LCS | G ▷ C2×C32 ▷ C16 ▷ C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C23×C4 ◁ C22×C4×C8 ◁ C22×#1311 ◁ C22×#7330 ◁ G | |
| LECS | G ▷ C2×#1397 ▷ C2×C16 ▷ C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72286954 | C2 | semidirect |
| 2. #72286933 | C2 | semidirect |
| 7. #72286907 | C2 | semidirect |
| 8. #72286899 | C2 | semidirect |
| 18. #72286820 | C2 | semidirect |
| 19. #72286801 | C22 | semidirect |
| 20. #72286777 | C2 | semidirect |
| 21. #72286771 | C22 | semidirect |
| 22. #72286525 | C2 | semidirect |
| 23. #72286519 | C22 | semidirect |
| 24. #72286505 | C22 | semidirect |
| 25. #72286496 | C22 | semidirect |
| 27. #72286400 | C2 | semidirect |
| 30. C2×#72224652 | C2 | semidirect |
| 31. C2×#94613 | C22 | semidirect |
| 34. C2×#94754 | C22 | semidirect |
| 36. C2×#151086 | C22 | semidirect |
| 37. C2×#94506 | C22 | semidirect |
| 38. #72234375 | C22 | semidirect |
| 39. C22×#151085 | C2 | semidirect |
| 79. #153604 | C8 | semidirect |
| 80. #153601 | C8 | semidirect |
| 106. #151085 | D4 | semidirect |
| 182. C2×SD128 | C2×C8 | semidirect |
| 183. C2×D64 | C2×C8 | semidirect |
| 188. #13695 | C2×C8 | semidirect |
| 189. #13694 | C2×C8 | semidirect |
| 267. #7537 | C2×C8 | semidirect |
| 270. C22⋊C64 | C2×C8 | semidirect |
| 335. C2×Q64 | C22×C8 | semidirect |
| 347. C2×D32 | C22×C8 | semidirect |
| 456. C2×C64 | C22×C8 | semidirect |
| 463. #1423 | C22×C8 | semidirect |
| 1160. C22 | #72224652 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72286954 | 2 |
| #72286933 | 2 |
| #72286907 | 2 |
| #72286899 | 2 |
| #72286884 | 2 |
| #72286820 | 2 |
| #72286777 | 2 |
| #72286525 | 2 |
| #72286400 | 2 |
| C2×#72224652 | 2 |
| C22×#151085 | 2 |