Finite Group DatabasebetaFinite Group DatabasebetaOrder 6144.
1581 conjugacy classes of subgroups.
The subgroup lattice has 1381 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72342867 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72342865 | — | 2 | 1 | no | — |
| 3 | #72342864 | — | 2 | 1 | no | — |
| 4 | #72342846 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #72342844 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72342835 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72342830 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #72342762 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #72342759 | C4 | 1 | 1 | yes | characteristic |
| 10 | #72342756 | C4 | 1 | 1 | yes | characteristic |
| 11 | #72342754 | C4 | 1 | 1 | yes | characteristic |
| 12 | #72342752 | C4 | 1 | 1 | yes | characteristic |
| 13 | A4×#12067 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | A4×#1333 | — | 2 | 1 | no | — |
| 15 | #72342697 | C22 | 1 | 1 | yes | characteristic |
| 16 | A4×#1313 | C22 | 1 | 1 | yes | characteristic |
| 17 | A4×#1368 | C22 | 1 | 1 | yes | characteristic |
| 18 | #72342686 | C22 | 1 | 1 | yes | characteristic |
| 19 | #72342686 | C22 | 1 | 1 | yes | characteristic |
| 20 | A4×#1580 | — | 2 | 1 | no | — |
| 21 | A4×#2177 | C22 | 1 | 1 | yes | characteristic |
| 22 | #72342674 | C22 | 1 | 1 | yes | characteristic |
| 23 | #72225052 | — | 3 | 1 | no | maximal, Sylow |
| 24 | #72225049 | — | 3 | 1 | no | — |
| 25 | #72225049 | — | 3 | 1 | no | — |
| 26 | #72225047 | — | 3 | 1 | no | — |
| 27 | #72225047 | — | 3 | 1 | no | — |
| 28 | #72225033 | — | 3 | 1 | no | — |
| 29 | #72225020 | — | 3 | 1 | no | — |
| 30 | #72224984 | — | 3 | 1 | no | — |
| 31 | #72224970 | — | 3 | 1 | no | — |
| 32 | #72224945 | — | 3 | 1 | no | — |
| 33 | #72222516 | — | 4 | 1 | no | maximal |
| 34 | #72217184 | — | 3 | 1 | no | — |
| 35 | C22×#12067 | D3 | 1 | 1 | yes | characteristic, complemented |
| 36 | #72216330 | — | 3 | 1 | no | — |
| 37 | #72216330 | — | 3 | 1 | no | — |
| 38 | C2×AGL(1,ℤ/32) | — | 3 | 1 | no | — |
| 39 | C2×AGL(1,ℤ/32) | — | 3 | 1 | no | — |
| 40 | #11714191 | C2×C4 | 1 | 1 | yes | characteristic |
| 41 | #11714132 | — | 4 | 1 | no | — |
| 42 | #11712861 | — | 2 | 1 | no | — |
| 43 | #11711664 | C8 | 1 | 2 | yes | complemented |
| 44 | #11711662 | C8 | 1 | 2 | yes | complemented |
| 45 | #11711655 | — | 2 | 1 | no | — |
| 46 | #11711655 | C2×C4 | 1 | 1 | yes | characteristic |
| 47 | #11711655 | C2×C4 | 1 | 1 | yes | characteristic |
| 48 | #11711600 | — | 2 | 1 | no | — |
| 49 | #11711562 | — | 4 | 1 | no | — |
| 50 | #11711538 | C2×C4 | 1 | 1 | yes | characteristic |
| 51 | #11711530 | — | 2 | 1 | no | — |
| 52 | C2×A4×D16 | C2×C4 | 1 | 1 | yes | characteristic |
| 53 | C4×A4×D8 | — | 2 | 1 | no | — |
| 54 | C8×D4×A4 | — | 4 | 1 | no | — |
| 55 | A4×#367 | C2×C4 | 1 | 1 | yes | characteristic |
| 56 | A4×#357 | — | 2 | 1 | no | — |
| 57 | A4×#346 | D4 | 1 | 1 | yes | characteristic |
| 58 | A4×#346 | C23 | 1 | 1 | yes | characteristic |
| 59 | A4×#334 | — | 2 | 1 | no | — |
| 60 | A4×D4⋊C8 | — | 4 | 1 | no | — |
| 61 | A4×#322 | D4 | 1 | 1 | yes | characteristic |
| 62 | #10715810 | — | 4 | 1 | no | — |
| 63 | #10707078 | — | 4 | 1 | no | — |
| 64 | #10682856 | — | 4 | 1 | no | — |
| 65 | #10682658 | — | 4 | 1 | no | — |
| 66 | #10682654 | — | 4 | 1 | no | — |
| 67 | #10682523 | — | 4 | 1 | no | — |
| 68 | C3×#12067 | — | 4 | 1 | no | — |
| 69 | C22×#2177 | C2×D3 | 1 | 1 | yes | characteristic |
| 70 | C22×#1580 | — | 2 | 1 | no | — |
| 71 | #512827 | — | 3 | 1 | no | — |
| 72 | C2×#13658 | — | 3 | 1 | no | — |
| 73 | C2×#13658 | — | 3 | 1 | no | — |
| 74 | #495881 | — | 3 | 1 | no | — |
| 75 | #495798 | — | 6 | 1 | no | — |
| 76 | C2×#12068 | — | 3 | 1 | no | — |
| 77 | C2×#12067 | — | 3 | 1 | no | — |
| 78 | C2×#12067 | — | 3 | 1 | no | — |
| 79 | C2×#12067 | — | 3 | 1 | no | — |
| 80 | C2×#12067 | — | 3 | 1 | no | — |
| 81 | C2×#12067 | — | 6 | 1 | no | — |
| 82 | C2×#12067 | — | 6 | 1 | no | — |
| 83 | C22×#1368 | C2×D3 | 1 | 1 | yes | characteristic |
| 84 | C22×#1333 | — | 2 | 1 | no | — |
| 85 | C22×#1313 | C2×D3 | 1 | 1 | yes | characteristic |
| 86 | #152549 | — | 3 | 1 | no | — |
| 87 | #152549 | — | 3 | 1 | no | — |
| 88 | #152513 | — | 3 | 1 | no | — |
| 89 | #152454 | — | 3 | 1 | no | — |
| 90 | #152454 | — | 3 | 1 | no | — |
| 91 | #152427 | — | 3 | 1 | no | — |
| 92 | #152162 | — | 3 | 1 | no | — |
| 93 | #151969 | — | 3 | 1 | no | — |
| 94 | #151969 | — | 3 | 1 | no | — |
| 95 | #151891 | — | 3 | 1 | no | — |
| 96 | #151891 | — | 3 | 1 | no | — |
| 97 | AGL(1,ℤ/32) | — | 6 | 2 | no | — |
| 98 | AGL(1,ℤ/32) | — | 6 | 2 | no | — |
| 99 | AGL(1,ℤ/32) | — | 6 | 1 | no | — |
| 100 | AGL(1,ℤ/32) | — | 6 | 1 | no | — |
| 101 | AGL(1,ℤ/32) | — | 6 | 1 | no | — |
| 102 | AGL(1,ℤ/32) | — | 6 | 1 | no | — |
| 103 | C2×#7457 | — | 3 | 1 | no | — |
| 104 | C2×#7457 | — | 3 | 1 | no | — |
| 105 | C2×#7390 | — | 3 | 1 | no | — |
| 106 | C2×#7390 | — | 3 | 1 | no | — |
| 107 | C2×#7390 | — | 3 | 1 | no | — |
| 108 | C2×#7390 | — | 3 | 1 | no | — |
| 109 | C2×#7389 | — | 3 | 1 | no | — |
| 110 | C2×#7389 | — | 3 | 1 | no | — |
| 111 | C2×#7333 | — | 3 | 1 | no | — |
| 112 | C2×#7333 | — | 3 | 1 | no | — |
| 113 | #140753 | — | 3 | 1 | no | — |
| 114 | #140356 | — | 3 | 1 | no | — |
| 115 | #140191 | — | 6 | 1 | no | — |
| 116 | #137625 | — | 6 | 1 | no | — |
| 117 | #134662 | — | 3 | 1 | no | — |
| 118 | #129164 | — | 3 | 1 | no | — |
| 119 | #128694 | — | 6 | 1 | no | — |
| 120 | #94057 | — | 3 | 1 | no | — |
| 121 | #94057 | — | 3 | 1 | no | — |
| 122 | #94030 | — | 3 | 1 | no | — |
| 123 | #94030 | — | 3 | 1 | no | — |
| 124 | #93997 | — | 3 | 1 | no | — |
| 125 | #93997 | — | 3 | 1 | no | — |
| 126 | C2×A4×D8 | — | 2 | 1 | no | — |
| 127 | C22×C8×A4 | — | 8 | 1 | no | — |
| 128 | C4×D4×A4 | — | 4 | 1 | no | — |
| 129 | #85440 | — | 2 | 1 | no | — |
| 130 | #85437 | — | 4 | 1 | no | — |
| 131 | A4×D16 | — | 2 | 1 | no | — |
| 132 | A4×D16 | C2×C8 | 1 | 2 | yes | — |
| 133 | C2×A4×C16 | — | 2 | 1 | no | — |
| 134 | C2×A4×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 135 | C2×A4×C16 | #41 | 1 | 1 | yes | characteristic |
| 136 | A4×#107 | — | 2 | 1 | no | — |
| 137 | A4×C4⋊C8 | — | 4 | 1 | no | — |
| 138 | A4×#102 | — | 4 | 1 | no | — |
| 139 | A4×C22⋊C8 | — | 8 | 1 | no | — |
| 140 | C4×C8×A4 | — | 2 | 1 | no | — |
| 141 | C4×C8×A4 | C2×D4 | 1 | 1 | yes | characteristic |
| 142 | #73105 | — | 2 | 1 | no | — |
| 143 | #73104 | — | 4 | 1 | no | — |
| 144 | #73046 | — | 4 | 1 | no | — |
| 145 | #73037 | C2×C8 | 1 | 1 | yes | characteristic, complemented |
| 146 | #73036 | — | 2 | 1 | no | — |
| 147 | #73035 | C2×C8 | 1 | 1 | yes | characteristic, complemented |
| 148 | #73034 | — | 8 | 1 | no | — |
| 149 | C16×S4 | — | 8 | 1 | no | — |
| 150 | C3×#2177 | — | 4 | 1 | no | — |
| 151 | C3×#1580 | — | 8 | 1 | no | — |
| 152 | #71458 | — | 4 | 1 | no | — |
| 153 | #69085 | — | 4 | 1 | no | — |
| 154 | #69076 | — | 8 | 1 | no | — |
| 155 | A4⋊C32 | — | 2 | 1 | no | — |
| 156 | A4⋊C32 | — | 4 | 1 | no | — |
| 157 | A4⋊C32 | C2×C8 | 1 | 2 | yes | complemented |
| 158 | C3×#1368 | — | 4 | 1 | no | — |
| 159 | C3×#1333 | — | 8 | 1 | no | — |
| 160 | C3×#1313 | — | 4 | 1 | no | — |
| 161 | #67825 | — | 4 | 1 | no | — |
| 162 | #67580 | — | 4 | 1 | no | — |
| 163 | #67579 | — | 4 | 1 | no | — |
| 164 | #67519 | — | 4 | 1 | no | — |
| 165 | #67519 | — | 4 | 1 | no | — |
| 166 | #67514 | — | 4 | 1 | no | — |
| 167 | #67443 | — | 8 | 1 | no | — |
| 168 | C23×D16 | C4×D3 | 1 | 1 | yes | characteristic |
| 169 | C22×C4×D8 | — | 2 | 1 | no | — |
| 170 | C22×C8×D4 | — | 4 | 1 | no | — |
| 171 | C2×#2263 | — | 3 | 1 | no | — |
| 172 | C2×#2263 | — | 3 | 1 | no | — |
| 173 | #33600 | — | 3 | 1 | no | — |
| 174 | C2×#2179 | — | 3 | 1 | no | — |
| 175 | C2×#2177 | — | 3 | 1 | no | — |
| 176 | C2×#2177 | — | 3 | 1 | no | — |
| 177 | C2×#2177 | — | 3 | 1 | no | — |
| 178 | C2×#2177 | — | 3 | 1 | no | — |
| 179 | C2×#2177 | — | 6 | 1 | no | — |
| 180 | C2×#2177 | — | 6 | 1 | no | — |
| 181 | C2×#2171 | — | 6 | 1 | no | — |
| 182 | #33432 | — | 12 | 1 | no | — |
| 183 | C22×#367 | C4×D3 | 1 | 1 | yes | characteristic |
| 184 | C22×#357 | — | 2 | 1 | no | — |
| 185 | C22×#346 | #67 | 1 | 1 | yes | characteristic |
| 186 | C22×#346 | C22×D3 | 1 | 1 | yes | characteristic |
| 187 | #21544 | — | 6 | 1 | no | — |
| 188 | C2×#1580 | — | 6 | 1 | no | — |
| 189 | C2×#1580 | — | 6 | 1 | no | — |
| 190 | C2×#1580 | — | 6 | 1 | no | — |
| 191 | C2×#1580 | — | 6 | 1 | no | — |
| 192 | C2×#1580 | — | 12 | 1 | no | — |
| 193 | C2×#1580 | — | 12 | 1 | no | — |
| 194 | C22×#334 | — | 2 | 1 | no | — |
| 195 | C22×D4⋊C8 | — | 4 | 1 | no | — |
| 196 | C22×#322 | #67 | 1 | 1 | yes | characteristic |
| 197 | #13664 | — | 3 | 2 | no | — |
| 198 | #13664 | — | 3 | 2 | no | — |
| 199 | #13661 | — | 3 | 2 | no | — |
| 200 | #13661 | — | 3 | 2 | no | — |
| 201 | #13658 | — | 6 | 2 | no | — |
| 202 | #13658 | — | 6 | 1 | no | — |
| 203 | #13658 | — | 6 | 1 | no | — |
| 204 | #13658 | — | 6 | 2 | no | — |
| 205 | #13658 | — | 6 | 1 | no | — |
| 206 | #13658 | — | 6 | 1 | no | — |
| 207 | C2×#1426 | — | 3 | 1 | no | — |
| 208 | C2×#1426 | — | 3 | 1 | no | — |
| 209 | C2×#1419 | — | 3 | 1 | no | — |
| 210 | C2×#1419 | — | 3 | 1 | no | — |
| 211 | C2×#1419 | — | 3 | 1 | no | — |
| 212 | C2×#1419 | — | 3 | 1 | no | — |
| 213 | C2×#1418 | — | 3 | 1 | no | — |
| 214 | C2×#1418 | — | 3 | 1 | no | — |
| 215 | #13617 | — | 3 | 1 | no | — |
| 216 | #13617 | — | 3 | 1 | no | — |
| 217 | #13553 | — | 3 | 1 | no | — |
| 218 | #13553 | — | 3 | 1 | no | — |
| 219 | #13553 | — | 6 | 1 | no | — |
| 220 | C2×#1398 | — | 3 | 1 | no | — |
| 221 | C2×#1398 | — | 3 | 1 | no | — |
| 222 | C2×#1398 | — | 3 | 1 | no | — |
| 223 | C2×#1398 | — | 3 | 1 | no | — |
| 224 | #13242 | — | 3 | 1 | no | — |
| 225 | #13196 | — | 6 | 1 | no | — |
| 226 | #13170 | — | 3 | 1 | no | — |
| 227 | #13162 | — | 6 | 1 | no | — |
| 228 | #13152 | — | 6 | 1 | no | — |
| 229 | #13125 | — | 12 | 1 | no | — |
| 230 | #13063 | — | 6 | 1 | no | — |
| 231 | #12983 | — | 12 | 1 | no | — |
| 232 | #12837 | — | 3 | 1 | no | — |
| 233 | #12788 | — | 6 | 1 | no | — |
| 234 | #12671 | — | 3 | 1 | no | — |
| 235 | #12665 | — | 6 | 1 | no | — |
| 236 | #12642 | — | 6 | 1 | no | — |
| 237 | #12615 | — | 12 | 1 | no | — |
| 238 | #12068 | — | 6 | 1 | no | — |
| 239 | #12068 | — | 6 | 1 | no | — |
| 240 | #12068 | — | 6 | 1 | no | — |
| 241 | #12068 | — | 6 | 1 | no | — |
| 242 | #12067 | — | 3 | 2 | no | — |
| 243 | #12067 | — | 3 | 2 | no | — |
| 244 | #12067 | — | 3 | 1 | no | — |
| 245 | #12067 | — | 3 | 1 | no | — |
| 246 | #12067 | — | 3 | 1 | no | — |
| 247 | #12067 | — | 6 | 1 | no | — |
| 248 | #12067 | — | 6 | 1 | no | — |
| 249 | #12067 | — | 6 | 1 | no | — |
| 250 | #12067 | — | 6 | 2 | no | — |
| 251 | #12067 | — | 6 | 2 | no | — |
| 252 | #12067 | S4 | 1 | 1 | yes | characteristic, complemented |
| 253 | C2×#1369 | — | 3 | 1 | no | — |
| 254 | C2×#1369 | — | 3 | 1 | no | — |
| 255 | C2×#1368 | — | 3 | 1 | no | — |
| 256 | C2×#1368 | — | 3 | 1 | no | — |
| 257 | C2×#1368 | — | 6 | 1 | no | — |
| 258 | C2×#1336 | — | 6 | 1 | no | — |
| 259 | C2×#1336 | — | 6 | 1 | no | — |
| 260 | C2×#1333 | — | 6 | 1 | no | — |
| 261 | C2×#1333 | — | 6 | 1 | no | — |
| 262 | C2×#1333 | — | 6 | 1 | no | — |
| 263 | C2×#1333 | — | 6 | 1 | no | — |
| 264 | C2×#1313 | — | 3 | 1 | no | — |
| 265 | C2×#1313 | — | 3 | 1 | no | — |
| 266 | C2×#1313 | — | 3 | 1 | no | — |
| 267 | C2×#1313 | — | 3 | 1 | no | — |
| 268 | #7477 | — | 3 | 1 | no | — |
| 269 | #7477 | — | 3 | 1 | no | — |
| 270 | #7474 | — | 3 | 1 | no | — |
| 271 | #7474 | — | 3 | 1 | no | — |
| 272 | #7466 | — | 3 | 1 | no | — |
| 273 | #7466 | — | 3 | 1 | no | — |
| 274 | #7466 | — | 6 | 1 | no | — |
| 275 | #7457 | — | 6 | 2 | no | — |
| 276 | #7457 | — | 6 | 1 | no | — |
| 277 | #7457 | — | 6 | 1 | no | — |
| 278 | #7390 | — | 6 | 2 | no | — |
| 279 | #7390 | — | 6 | 1 | no | — |
| 280 | #7390 | — | 6 | 1 | no | — |
| 281 | #7390 | — | 6 | 2 | no | — |
| 282 | #7390 | — | 6 | 1 | no | — |
| 283 | #7390 | — | 6 | 1 | no | — |
| 284 | #7389 | — | 6 | 2 | no | — |
| 285 | #7389 | — | 6 | 1 | no | — |
| 286 | #7389 | — | 6 | 1 | no | — |
| 287 | #7333 | — | 6 | 1 | no | — |
| 288 | #7333 | — | 6 | 1 | no | — |
| 289 | #7333 | — | 6 | 1 | no | — |
| 290 | #7333 | — | 6 | 1 | no | — |
| 291 | #7182 | — | 6 | 1 | no | — |
| 292 | #7182 | — | 6 | 1 | no | — |
| 293 | #7161 | — | 6 | 1 | no | — |
| 294 | C2×D4×A4 | — | 4 | 1 | no | — |
| 295 | C22×C4×A4 | — | 8 | 1 | no | — |
| 296 | #5912 | — | 4 | 1 | no | — |
| 297 | A4×D8 | — | 2 | 2 | no | — |
| 298 | A4×D8 | — | 4 | 1 | no | — |
| 299 | C2×C8×A4 | — | 4 | 1 | no | — |
| 300 | C2×C8×A4 | — | 8 | 1 | no | — |
| 301 | C2×C8×A4 | — | 16 | 2 | no | — |
| 302 | C2×C8×A4 | C4×D4 | 1 | 1 | yes | characteristic |
| 303 | C2×C8×A4 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 304 | A4×C4⋊C4 | — | 4 | 1 | no | — |
| 305 | A4×C22⋊C4 | — | 8 | 1 | no | — |
| 306 | C42×A4 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 307 | #5409 | — | 4 | 1 | no | — |
| 308 | #5402 | — | 2 | 1 | no | — |
| 309 | #5401 | — | 4 | 1 | no | — |
| 310 | #5400 | — | 8 | 1 | no | — |
| 311 | C8×S4 | — | 8 | 1 | no | — |
| 312 | #5398 | — | 2 | 1 | no | — |
| 313 | C2×C3×D16 | — | 4 | 1 | no | — |
| 314 | C3×C4×D8 | — | 8 | 1 | no | — |
| 315 | C3×C8×D4 | — | 16 | 1 | no | — |
| 316 | #4904 | — | 4 | 1 | no | — |
| 317 | #4901 | — | 16 | 1 | no | — |
| 318 | #4700 | — | 8 | 1 | no | — |
| 319 | A4×C16 | — | 2 | 1 | no | — |
| 320 | A4×C16 | — | 4 | 1 | no | — |
| 321 | A4×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 322 | A4×C16 | #131 | 1 | 1 | yes | characteristic |
| 323 | A4⋊C16 | — | 8 | 1 | no | — |
| 324 | C3×#367 | — | 4 | 1 | no | — |
| 325 | C3×#357 | — | 8 | 1 | no | — |
| 326 | C3×#346 | — | 4 | 1 | no | — |
| 327 | C3×#346 | — | 4 | 1 | no | — |
| 328 | C3×#334 | — | 8 | 1 | no | — |
| 329 | C3×D4⋊C8 | — | 16 | 1 | no | — |
| 330 | C3×#322 | — | 4 | 1 | no | — |
| 331 | #4520 | — | 4 | 2 | no | — |
| 332 | #4519 | — | 4 | 2 | no | — |
| 333 | #4510 | — | 8 | 1 | no | — |
| 334 | #4508 | — | 16 | 1 | no | — |
| 335 | #4506 | — | 4 | 1 | no | — |
| 336 | #4499 | — | 4 | 1 | no | — |
| 337 | #4499 | — | 4 | 1 | no | — |
| 338 | #4499 | — | 8 | 1 | no | — |
| 339 | #4463 | — | 8 | 1 | no | — |
| 340 | C23×D8 | — | 2 | 1 | no | — |
| 341 | C24×C8 | — | 8 | 1 | no | — |
| 342 | C22×C4×D4 | — | 4 | 1 | no | — |
| 343 | C2×#508 | — | 3 | 1 | no | — |
| 344 | C22×D16 | — | 2 | 1 | no | — |
| 345 | C22×D16 | — | 3 | 1 | no | — |
| 346 | C22×D16 | — | 3 | 1 | no | — |
| 347 | C22×D16 | — | 3 | 2 | no | — |
| 348 | C22×D16 | — | 6 | 1 | no | — |
| 349 | C22×D16 | — | 6 | 1 | no | — |
| 350 | C22×D16 | D3×C8 | 1 | 2 | yes | — |
| 351 | C2×#504 | — | 12 | 1 | no | — |
| 352 | C23×C16 | — | 2 | 1 | no | — |
| 353 | C23×C16 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 354 | C23×C16 | #235 | 1 | 1 | yes | characteristic |
| 355 | #3050 | — | 6 | 1 | no | — |
| 356 | C2×#443 | — | 6 | 1 | no | — |
| 357 | C2×C4×D8 | — | 6 | 1 | no | — |
| 358 | C2×C4×D8 | — | 6 | 1 | no | — |
| 359 | C2×C4×D8 | — | 6 | 1 | no | — |
| 360 | C2×C4×D8 | — | 6 | 1 | no | — |
| 361 | C2×C4×D8 | — | 12 | 1 | no | — |
| 362 | C2×C4×D8 | — | 12 | 1 | no | — |
| 363 | #2929 | — | 12 | 1 | no | — |
| 364 | C2×C8×D4 | — | 12 | 1 | no | — |
| 365 | C2×C8×D4 | — | 12 | 1 | no | — |
| 366 | C2×C8×D4 | — | 12 | 1 | no | — |
| 367 | C2×C8×D4 | — | 12 | 1 | no | — |
| 368 | C2×C8×D4 | — | 24 | 1 | no | — |
| 369 | C2×C8×D4 | — | 24 | 1 | no | — |
| 370 | C22×#107 | — | 2 | 1 | no | — |
| 371 | C22×C4⋊C8 | — | 4 | 1 | no | — |
| 372 | C22×#102 | — | 4 | 1 | no | — |
| 373 | C22×C22⋊C8 | — | 8 | 1 | no | — |
| 374 | C22×C4×C8 | — | 2 | 1 | no | — |
| 375 | C22×C4×C8 | C2×#67 | 1 | 1 | yes | characteristic |
| 376 | #2263 | — | 6 | 2 | no | — |
| 377 | #2263 | — | 6 | 1 | no | — |
| 378 | #2263 | — | 6 | 2 | no | — |
| 379 | #2263 | — | 6 | 2 | no | — |
| 380 | #2263 | — | 6 | 1 | no | — |
| 381 | C2×SD64 | — | 3 | 2 | no | — |
| 382 | C2×SD64 | — | 3 | 2 | no | — |
| 383 | C2×D32 | — | 3 | 2 | no | — |
| 384 | C2×D32 | — | 3 | 2 | no | — |
| 385 | C2×M64 | — | 3 | 1 | no | — |
| 386 | C2×M64 | — | 3 | 1 | no | — |
| 387 | C2×M64 | — | 3 | 1 | no | — |
| 388 | C2×M64 | — | 3 | 1 | no | — |
| 389 | C2×M64 | — | 6 | 1 | no | — |
| 390 | C2×M64 | — | 6 | 1 | no | — |
| 391 | #2217 | — | 6 | 1 | no | — |
| 392 | #2217 | — | 6 | 1 | no | — |
| 393 | #2216 | — | 3 | 1 | no | — |
| 394 | #2216 | — | 3 | 1 | no | — |
| 395 | #2215 | — | 3 | 1 | no | — |
| 396 | #2215 | — | 3 | 1 | no | — |
| 397 | #2179 | — | 6 | 1 | no | — |
| 398 | #2179 | — | 6 | 1 | no | — |
| 399 | #2179 | — | 6 | 1 | no | — |
| 400 | #2179 | — | 6 | 1 | no | — |
| 401 | #2177 | — | 3 | 2 | no | — |
| 402 | #2177 | — | 3 | 2 | no | — |
| 403 | #2177 | — | 3 | 1 | no | — |
| 404 | #2177 | — | 3 | 1 | no | — |
| 405 | #2177 | — | 3 | 1 | no | — |
| 406 | #2177 | — | 6 | 1 | no | — |
| 407 | #2177 | — | 6 | 1 | no | — |
| 408 | #2177 | — | 6 | 1 | no | — |
| 409 | #2177 | — | 6 | 2 | no | — |
| 410 | #2177 | — | 6 | 2 | no | — |
| 411 | #2177 | C2×S4 | 1 | 1 | yes | characteristic |
| 412 | #2171 | — | 12 | 1 | no | — |
| 413 | #2171 | — | 12 | 1 | no | — |
| 414 | #2171 | — | 12 | 1 | no | — |
| 415 | #2171 | — | 12 | 1 | no | — |
| 416 | #2168 | — | 24 | 1 | no | — |
| 417 | #2168 | — | 24 | 1 | no | — |
| 418 | D4×C16 | — | 24 | 1 | no | — |
| 419 | D4×C16 | — | 24 | 1 | no | — |
| 420 | C2×#368 | — | 3 | 1 | no | — |
| 421 | C2×#368 | — | 3 | 1 | no | — |
| 422 | #2158 | — | 3 | 1 | no | — |
| 423 | C2×#367 | — | 3 | 1 | no | — |
| 424 | C2×#367 | — | 3 | 1 | no | — |
| 425 | C2×#367 | — | 6 | 1 | no | — |
| 426 | C2×#364 | — | 6 | 1 | no | — |
| 427 | C2×#364 | — | 6 | 1 | no | — |
| 428 | #2151 | — | 12 | 1 | no | — |
| 429 | C2×#359 | — | 6 | 1 | no | — |
| 430 | C2×#359 | — | 6 | 1 | no | — |
| 431 | #2138 | — | 6 | 1 | no | — |
| 432 | C2×#357 | — | 6 | 1 | no | — |
| 433 | C2×#357 | — | 6 | 1 | no | — |
| 434 | C2×#357 | — | 6 | 1 | no | — |
| 435 | C2×#357 | — | 6 | 1 | no | — |
| 436 | C2×#350 | — | 12 | 1 | no | — |
| 437 | C2×#350 | — | 12 | 1 | no | — |
| 438 | #2113 | — | 12 | 1 | no | — |
| 439 | #2112 | — | 12 | 1 | no | — |
| 440 | #2108 | — | 12 | 1 | no | — |
| 441 | C2×#346 | — | 3 | 1 | no | — |
| 442 | C2×#346 | — | 3 | 1 | no | — |
| 443 | C2×#346 | — | 3 | 1 | no | — |
| 444 | C2×#346 | — | 3 | 1 | no | — |
| 445 | C2×#346 | — | 3 | 1 | no | — |
| 446 | C2×#346 | — | 3 | 1 | no | — |
| 447 | C2×#346 | — | 6 | 1 | no | — |
| 448 | #1974 | — | 6 | 1 | no | — |
| 449 | #1945 | — | 6 | 1 | no | — |
| 450 | #1937 | — | 12 | 1 | no | — |
| 451 | #1896 | — | 12 | 1 | no | — |
| 452 | #1810 | — | 6 | 1 | no | — |
| 453 | #1772 | — | 6 | 1 | no | — |
| 454 | #1764 | — | 12 | 1 | no | — |
| 455 | #1580 | — | 2 | 1 | no | — |
| 456 | #1580 | — | 6 | 1 | no | — |
| 457 | #1580 | — | 6 | 1 | no | — |
| 458 | #1580 | — | 6 | 2 | no | — |
| 459 | #1580 | — | 6 | 1 | no | — |
| 460 | #1580 | — | 12 | 2 | no | — |
| 461 | #1580 | — | 12 | 2 | no | — |
| 462 | #1580 | — | 12 | 1 | no | — |
| 463 | #1580 | — | 12 | 1 | no | — |
| 464 | #1580 | — | 12 | 1 | no | — |
| 465 | #1580 | — | 12 | 1 | no | — |
| 466 | C2×#334 | — | 6 | 1 | no | — |
| 467 | C2×#334 | — | 6 | 1 | no | — |
| 468 | C2×#334 | — | 12 | 1 | no | — |
| 469 | C2×D4⋊C8 | — | 12 | 1 | no | — |
| 470 | C2×D4⋊C8 | — | 12 | 1 | no | — |
| 471 | C2×D4⋊C8 | — | 12 | 1 | no | — |
| 472 | C2×D4⋊C8 | — | 12 | 1 | no | — |
| 473 | C2×#322 | — | 3 | 1 | no | — |
| 474 | C2×#322 | — | 3 | 1 | no | — |
| 475 | C2×#322 | — | 6 | 1 | no | — |
| 476 | #1426 | — | 6 | 2 | no | — |
| 477 | #1426 | — | 6 | 1 | no | — |
| 478 | #1426 | — | 6 | 1 | no | — |
| 479 | #1419 | — | 6 | 2 | no | — |
| 480 | #1419 | — | 6 | 2 | no | — |
| 481 | #1419 | — | 6 | 2 | no | — |
| 482 | #1419 | — | 6 | 1 | no | — |
| 483 | #1419 | — | 6 | 1 | no | — |
| 484 | #1418 | — | 6 | 2 | no | — |
| 485 | #1418 | — | 6 | 1 | no | — |
| 486 | #1418 | — | 6 | 1 | no | — |
| 487 | #1415 | — | 3 | 2 | no | — |
| 488 | #1415 | — | 3 | 2 | no | — |
| 489 | #1415 | — | 3 | 2 | no | — |
| 490 | #1415 | — | 3 | 2 | no | — |
| 491 | C22⋊C32 | — | 3 | 2 | no | — |
| 492 | C22⋊C32 | — | 3 | 2 | no | — |
| 493 | C22⋊C32 | — | 6 | 1 | no | — |
| 494 | C22⋊C32 | — | 6 | 1 | no | — |
| 495 | C22⋊C32 | — | 12 | 1 | no | — |
| 496 | C22⋊C32 | — | 12 | 1 | no | — |
| 497 | #1398 | — | 6 | 1 | no | — |
| 498 | #1398 | — | 6 | 1 | no | — |
| 499 | #1398 | — | 6 | 1 | no | — |
| 500 | #1398 | — | 6 | 1 | no | — |
| 501 | #1398 | — | 6 | 1 | no | — |
| 502 | #1398 | — | 6 | 1 | no | — |
| 503 | #1398 | — | 6 | 1 | no | — |
| 504 | #1398 | — | 6 | 1 | no | — |
| 505 | #1382 | — | 6 | 1 | no | — |
| 506 | #1382 | — | 6 | 1 | no | — |
| 507 | #1381 | — | 6 | 1 | no | — |
| 508 | #1379 | — | 12 | 1 | no | — |
| 509 | #1379 | — | 12 | 1 | no | — |
| 510 | #1376 | — | 12 | 1 | no | — |
| 511 | #1369 | — | 6 | 1 | no | — |
| 512 | #1369 | — | 6 | 1 | no | — |
| 513 | #1369 | — | 6 | 1 | no | — |
| 514 | #1369 | — | 6 | 1 | no | — |
| 515 | #1368 | — | 3 | 2 | no | — |
| 516 | #1368 | — | 3 | 1 | no | — |
| 517 | #1368 | — | 6 | 1 | no | — |
| 518 | #1368 | C2×S4 | 1 | 1 | yes | characteristic |
| 519 | #1336 | — | 12 | 1 | no | — |
| 520 | #1336 | — | 12 | 2 | no | — |
| 521 | #1336 | — | 12 | 1 | no | — |
| 522 | #1333 | — | 2 | 1 | no | — |
| 523 | #1333 | — | 6 | 1 | no | — |
| 524 | #1333 | — | 6 | 1 | no | — |
| 525 | #1333 | — | 6 | 2 | no | — |
| 526 | #1333 | — | 6 | 1 | no | — |
| 527 | #1313 | — | 3 | 1 | no | — |
| 528 | #1313 | — | 3 | 1 | no | — |
| 529 | #1313 | — | 3 | 1 | no | — |
| 530 | #1313 | — | 6 | 1 | no | — |
| 531 | #1313 | C2×S4 | 1 | 1 | yes | characteristic |
| 532 | C23×A4 | — | 8 | 1 | no | — |
| 533 | D4×A4 | — | 4 | 2 | no | — |
| 534 | D4×A4 | — | 8 | 1 | no | — |
| 535 | C2×C4×A4 | — | 2 | 1 | no | — |
| 536 | C2×C4×A4 | — | 8 | 1 | no | — |
| 537 | C2×C4×A4 | — | 16 | 1 | no | — |
| 538 | C2×C4×A4 | — | 16 | 1 | no | — |
| 539 | C2×C4×A4 | #442 | 1 | 1 | yes | characteristic |
| 540 | GL(2,ℤ/4) | — | 8 | 1 | no | — |
| 541 | C4⋊S4 | — | 4 | 1 | no | — |
| 542 | C4×S4 | — | 8 | 1 | no | — |
| 543 | A4⋊Q8 | — | 4 | 1 | no | — |
| 544 | C2×C3×D8 | — | 8 | 1 | no | — |
| 545 | C22×C3×C8 | — | 32 | 1 | no | — |
| 546 | C3×C4×D4 | — | 16 | 1 | no | — |
| 547 | #904 | — | 8 | 1 | no | — |
| 548 | #901 | — | 16 | 1 | no | — |
| 549 | C8×A4 | — | 2 | 1 | no | — |
| 550 | C8×A4 | — | 8 | 1 | no | — |
| 551 | C8×A4 | — | 16 | 1 | no | — |
| 552 | C8×A4 | C8×D4 | 1 | 1 | yes | characteristic |
| 553 | C8×A4 | #444 | 1 | 1 | yes | characteristic |
| 554 | A4⋊C8 | — | 8 | 1 | no | — |
| 555 | C3×D16 | — | 4 | 2 | no | — |
| 556 | C3×D16 | — | 8 | 1 | no | — |
| 557 | C2×C3×C16 | — | 4 | 1 | no | — |
| 558 | C2×C3×C16 | — | 4 | 1 | no | — |
| 559 | C2×C3×C16 | — | 8 | 1 | no | — |
| 560 | C3×#107 | — | 8 | 1 | no | — |
| 561 | C3×C4⋊C8 | — | 16 | 1 | no | — |
| 562 | C3×#102 | — | 16 | 1 | no | — |
| 563 | C3×C22⋊C8 | — | 32 | 1 | no | — |
| 564 | C3×C4×C8 | — | 4 | 1 | no | — |
| 565 | C3×C4×C8 | — | 8 | 1 | no | — |
| 566 | #819 | — | 8 | 1 | no | — |
| 567 | #812 | — | 16 | 1 | no | — |
| 568 | #805 | — | 16 | 1 | no | — |
| 569 | Dic24 | — | 4 | 1 | no | — |
| 570 | #800 | — | 8 | 1 | no | — |
| 571 | D48 | — | 4 | 1 | no | — |
| 572 | #798 | — | 32 | 1 | no | — |
| 573 | D3×C16 | — | 32 | 1 | no | — |
| 574 | C3⋊C32 | — | 4 | 2 | no | — |
| 575 | C3⋊C32 | — | 8 | 1 | no | — |
| 576 | C3⋊C32 | — | 16 | 1 | no | — |
| 577 | C23×D4 | — | 4 | 1 | no | — |
| 578 | C24×C4 | — | 8 | 1 | no | — |
| 579 | C2×#135 | — | 6 | 1 | no | — |
| 580 | C22×D8 | — | 2 | 2 | no | — |
| 581 | C22×D8 | — | 4 | 1 | no | — |
| 582 | C22×D8 | — | 6 | 1 | no | — |
| 583 | C22×D8 | — | 6 | 1 | no | — |
| 584 | C22×D8 | — | 6 | 2 | no | — |
| 585 | C22×D8 | — | 12 | 1 | no | — |
| 586 | C22×D8 | — | 12 | 1 | no | — |
| 587 | C2×#131 | — | 12 | 1 | no | — |
| 588 | C23×C8 | — | 4 | 1 | no | — |
| 589 | C23×C8 | — | 8 | 1 | no | — |
| 590 | C23×C8 | — | 16 | 2 | no | — |
| 591 | C23×C8 | — | 24 | 1 | no | — |
| 592 | C23×C8 | — | 24 | 1 | no | — |
| 593 | C23×C8 | — | 24 | 1 | no | — |
| 594 | C23×C8 | — | 24 | 1 | no | — |
| 595 | C23×C8 | — | 48 | 2 | no | — |
| 596 | C23×C8 | C4×#67 | 1 | 1 | yes | characteristic |
| 597 | C23×C8 | #949 | 1 | 1 | yes | characteristic |
| 598 | #525 | — | 12 | 1 | no | — |
| 599 | C2×C4×D4 | — | 12 | 1 | no | — |
| 600 | C2×C4×D4 | — | 12 | 1 | no | — |
| 601 | C2×C4×D4 | — | 12 | 1 | no | — |
| 602 | C2×C4×D4 | — | 12 | 1 | no | — |
| 603 | C2×C4×D4 | — | 24 | 1 | no | — |
| 604 | C2×C4×D4 | — | 24 | 1 | no | — |
| 605 | C22×C4⋊C4 | — | 4 | 1 | no | — |
| 606 | C22×C22⋊C4 | — | 8 | 1 | no | — |
| 607 | C22×C42 | #932 | 1 | 1 | yes | characteristic |
| 608 | #508 | — | 6 | 1 | no | — |
| 609 | #508 | — | 6 | 1 | no | — |
| 610 | #508 | — | 6 | 1 | no | — |
| 611 | #508 | — | 6 | 1 | no | — |
| 612 | C2×Q32 | — | 3 | 1 | no | — |
| 613 | C2×SD32 | — | 6 | 1 | no | — |
| 614 | C2×D16 | — | 3 | 2 | no | — |
| 615 | C2×D16 | — | 3 | 2 | no | — |
| 616 | C2×D16 | — | 3 | 2 | no | — |
| 617 | C2×D16 | — | 3 | 2 | no | — |
| 618 | C2×D16 | — | 3 | 2 | no | — |
| 619 | C2×D16 | — | 3 | 1 | no | — |
| 620 | C2×D16 | — | 3 | 1 | no | — |
| 621 | C2×D16 | — | 6 | 1 | no | — |
| 622 | C2×D16 | — | 6 | 1 | no | — |
| 623 | C2×D16 | — | 6 | 1 | no | — |
| 624 | C2×D16 | — | 6 | 2 | no | — |
| 625 | C2×D16 | — | 6 | 1 | no | — |
| 626 | C2×D16 | — | 6 | 1 | no | — |
| 627 | C2×D16 | — | 6 | 2 | no | — |
| 628 | C2×D16 | — | 6 | 4 | no | — |
| 629 | C2×D16 | C4×S4 | 1 | 1 | yes | characteristic |
| 630 | #504 | — | 24 | 1 | no | — |
| 631 | #504 | — | 24 | 1 | no | — |
| 632 | #504 | — | 24 | 1 | no | — |
| 633 | #504 | — | 24 | 1 | no | — |
| 634 | C2×M32 | — | 12 | 1 | no | — |
| 635 | C2×M32 | — | 12 | 1 | no | — |
| 636 | C2×M32 | — | 24 | 1 | no | — |
| 637 | C22×C16 | — | 2 | 1 | no | — |
| 638 | C22×C16 | — | 3 | 1 | no | — |
| 639 | C22×C16 | — | 3 | 1 | no | — |
| 640 | C22×C16 | — | 3 | 1 | no | — |
| 641 | C22×C16 | — | 3 | 1 | no | — |
| 642 | C22×C16 | — | 3 | 1 | no | — |
| 643 | C22×C16 | — | 3 | 1 | no | — |
| 644 | C22×C16 | — | 4 | 1 | no | — |
| 645 | C22×C16 | — | 6 | 1 | no | — |
| 646 | C22×C16 | — | 6 | 1 | no | — |
| 647 | C22×C16 | — | 6 | 1 | no | — |
| 648 | C22×C16 | — | 12 | 1 | no | — |
| 649 | C22×C16 | — | 24 | 1 | no | — |
| 650 | C22×C16 | C2×D3×C8 | 1 | 1 | yes | characteristic |
| 651 | C22×C16 | #901 | 1 | 1 | yes | characteristic |
| 652 | #467 | — | 6 | 1 | no | — |
| 653 | #467 | — | 6 | 1 | no | — |
| 654 | #466 | — | 6 | 1 | no | — |
| 655 | #466 | — | 6 | 1 | no | — |
| 656 | #465 | — | 12 | 1 | no | — |
| 657 | #465 | — | 12 | 1 | no | — |
| 658 | #443 | — | 12 | 1 | no | — |
| 659 | #443 | — | 12 | 1 | no | — |
| 660 | #443 | — | 12 | 1 | no | — |
| 661 | #443 | — | 12 | 1 | no | — |
| 662 | C4×D8 | — | 2 | 1 | no | — |
| 663 | C4×D8 | — | 6 | 1 | no | — |
| 664 | C4×D8 | — | 6 | 1 | no | — |
| 665 | C4×D8 | — | 6 | 2 | no | — |
| 666 | C4×D8 | — | 6 | 1 | no | — |
| 667 | C4×D8 | — | 12 | 1 | no | — |
| 668 | C4×D8 | — | 12 | 1 | no | — |
| 669 | C4×D8 | — | 12 | 1 | no | — |
| 670 | C4×D8 | — | 12 | 1 | no | — |
| 671 | C4×D8 | — | 12 | 2 | no | — |
| 672 | C4×D8 | — | 12 | 2 | no | — |
| 673 | #435 | — | 24 | 1 | no | — |
| 674 | #435 | — | 24 | 1 | no | — |
| 675 | C8×D4 | — | 4 | 1 | no | — |
| 676 | C8×D4 | — | 12 | 1 | no | — |
| 677 | C8×D4 | — | 12 | 1 | no | — |
| 678 | C8×D4 | — | 12 | 1 | no | — |
| 679 | C8×D4 | — | 12 | 2 | no | — |
| 680 | C8×D4 | — | 24 | 1 | no | — |
| 681 | C8×D4 | — | 24 | 1 | no | — |
| 682 | C8×D4 | — | 24 | 1 | no | — |
| 683 | C8×D4 | — | 24 | 2 | no | — |
| 684 | C8×D4 | — | 24 | 2 | no | — |
| 685 | C8×D4 | — | 24 | 1 | no | — |
| 686 | C8×D4 | — | 24 | 1 | no | — |
| 687 | C8×D4 | — | 24 | 1 | no | — |
| 688 | C2×#108 | — | 6 | 1 | no | — |
| 689 | C2×#108 | — | 6 | 1 | no | — |
| 690 | #427 | — | 6 | 1 | no | — |
| 691 | C2×#107 | — | 6 | 1 | no | — |
| 692 | C2×#107 | — | 6 | 1 | no | — |
| 693 | C2×#107 | — | 12 | 1 | no | — |
| 694 | #424 | — | 12 | 1 | no | — |
| 695 | C2×C4⋊C8 | — | 12 | 1 | no | — |
| 696 | C2×C4⋊C8 | — | 12 | 1 | no | — |
| 697 | C2×C4⋊C8 | — | 24 | 1 | no | — |
| 698 | C2×#104 | — | 12 | 1 | no | — |
| 699 | C2×#104 | — | 12 | 1 | no | — |
| 700 | #416 | — | 12 | 1 | no | — |
| 701 | C2×#102 | — | 12 | 1 | no | — |
| 702 | C2×#102 | — | 12 | 1 | no | — |
| 703 | C2×#102 | — | 12 | 1 | no | — |
| 704 | C2×#102 | — | 12 | 1 | no | — |
| 705 | #408 | — | 12 | 1 | no | — |
| 706 | #407 | — | 12 | 1 | no | — |
| 707 | C2×C22⋊C8 | — | 24 | 1 | no | — |
| 708 | C2×C22⋊C8 | — | 24 | 1 | no | — |
| 709 | C2×C22⋊C8 | — | 24 | 1 | no | — |
| 710 | C2×C22⋊C8 | — | 24 | 1 | no | — |
| 711 | #405 | — | 12 | 1 | no | — |
| 712 | C2×C4×C8 | — | 3 | 1 | no | — |
| 713 | C2×C4×C8 | — | 3 | 1 | no | — |
| 714 | C2×C4×C8 | — | 3 | 1 | no | — |
| 715 | C2×C4×C8 | — | 3 | 1 | no | — |
| 716 | C2×C4×C8 | — | 6 | 1 | no | — |
| 717 | C2×C4×C8 | — | 6 | 1 | no | — |
| 718 | C2×C4×C8 | — | 12 | 1 | no | — |
| 719 | SD64 | — | 6 | 4 | no | — |
| 720 | SD64 | — | 6 | 2 | no | — |
| 721 | SD64 | — | 6 | 2 | no | — |
| 722 | D32 | — | 6 | 4 | no | — |
| 723 | D32 | — | 6 | 2 | no | — |
| 724 | D32 | — | 6 | 2 | no | — |
| 725 | M64 | — | 6 | 1 | no | — |
| 726 | M64 | — | 6 | 1 | no | — |
| 727 | M64 | — | 6 | 1 | no | — |
| 728 | M64 | — | 6 | 1 | no | — |
| 729 | M64 | — | 6 | 1 | no | — |
| 730 | M64 | — | 6 | 1 | no | — |
| 731 | M64 | — | 6 | 1 | no | — |
| 732 | M64 | — | 6 | 1 | no | — |
| 733 | M64 | — | 12 | 1 | no | — |
| 734 | M64 | — | 12 | 1 | no | — |
| 735 | M64 | — | 12 | 1 | no | — |
| 736 | M64 | — | 12 | 1 | no | — |
| 737 | C2×C32 | — | 3 | 2 | no | — |
| 738 | C2×C32 | — | 3 | 2 | no | — |
| 739 | C2×C32 | — | 6 | 1 | no | — |
| 740 | C2×C32 | — | 6 | 1 | no | — |
| 741 | C2×C32 | — | 12 | 1 | no | — |
| 742 | C2×C32 | — | 12 | 1 | no | — |
| 743 | #368 | — | 6 | 1 | no | — |
| 744 | #368 | — | 6 | 1 | no | — |
| 745 | #368 | — | 6 | 1 | no | — |
| 746 | #368 | — | 6 | 1 | no | — |
| 747 | #367 | — | 3 | 2 | no | — |
| 748 | #367 | — | 3 | 1 | no | — |
| 749 | #367 | — | 6 | 1 | no | — |
| 750 | #367 | — | 6 | 1 | no | — |
| 751 | #367 | C4×S4 | 1 | 1 | yes | characteristic |
| 752 | #366 | — | 3 | 1 | no | — |
| 753 | #366 | — | 3 | 1 | no | — |
| 754 | #364 | — | 12 | 1 | no | — |
| 755 | #364 | — | 12 | 1 | no | — |
| 756 | #364 | — | 12 | 1 | no | — |
| 757 | #364 | — | 12 | 1 | no | — |
| 758 | C4⋊C16 | — | 24 | 1 | no | — |
| 759 | C4⋊C16 | — | 24 | 1 | no | — |
| 760 | #359 | — | 12 | 1 | no | — |
| 761 | #359 | — | 12 | 2 | no | — |
| 762 | #359 | — | 12 | 1 | no | — |
| 763 | #358 | — | 6 | 1 | no | — |
| 764 | #358 | — | 6 | 1 | no | — |
| 765 | #357 | — | 2 | 1 | no | — |
| 766 | #357 | — | 6 | 1 | no | — |
| 767 | #357 | — | 6 | 1 | no | — |
| 768 | #357 | — | 6 | 2 | no | — |
| 769 | #357 | — | 6 | 1 | no | — |
| 770 | #357 | — | 6 | 1 | no | — |
| 771 | #357 | — | 6 | 1 | no | — |
| 772 | #350 | — | 24 | 1 | no | — |
| 773 | #350 | — | 24 | 1 | no | — |
| 774 | #350 | — | 24 | 2 | no | — |
| 775 | C22⋊C16 | — | 24 | 1 | no | — |
| 776 | C22⋊C16 | — | 24 | 1 | no | — |
| 777 | C22⋊C16 | — | 24 | 1 | no | — |
| 778 | C22⋊C16 | — | 24 | 1 | no | — |
| 779 | #346 | — | 3 | 1 | no | — |
| 780 | #346 | — | 3 | 1 | no | — |
| 781 | #346 | — | 3 | 1 | no | — |
| 782 | #346 | — | 3 | 1 | no | — |
| 783 | #346 | — | 6 | 1 | no | — |
| 784 | #346 | — | 6 | 1 | no | — |
| 785 | #346 | — | 6 | 1 | no | — |
| 786 | #346 | — | 24 | 1 | no | — |
| 787 | #346 | GL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 788 | #346 | C22×S4 | 1 | 1 | yes | characteristic |
| 789 | C4×C16 | — | 24 | 1 | no | — |
| 790 | #341 | — | 12 | 1 | no | — |
| 791 | #339 | — | 12 | 1 | no | — |
| 792 | #339 | — | 12 | 1 | no | — |
| 793 | #334 | — | 2 | 1 | no | — |
| 794 | #334 | — | 6 | 1 | no | — |
| 795 | #334 | — | 12 | 1 | no | — |
| 796 | #334 | — | 12 | 1 | no | — |
| 797 | D4⋊C8 | — | 4 | 1 | no | — |
| 798 | D4⋊C8 | — | 12 | 1 | no | — |
| 799 | D4⋊C8 | — | 12 | 1 | no | — |
| 800 | D4⋊C8 | — | 12 | 1 | no | — |
| 801 | D4⋊C8 | — | 12 | 2 | no | — |
| 802 | #322 | — | 3 | 2 | no | — |
| 803 | #322 | — | 3 | 1 | no | — |
| 804 | #322 | — | 6 | 1 | no | — |
| 805 | #322 | GL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 806 | C22×A4 | — | 8 | 2 | no | — |
| 807 | C22×A4 | — | 16 | 1 | no | — |
| 808 | C22×A4 | — | 16 | 1 | no | — |
| 809 | C22×A4 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 810 | C2×S4 | — | 8 | 1 | no | — |
| 811 | C2×C3×D4 | — | 16 | 1 | no | — |
| 812 | C22×C3×C4 | — | 32 | 1 | no | — |
| 813 | #235 | — | 16 | 1 | no | — |
| 814 | C4×A4 | — | 4 | 1 | no | — |
| 815 | C4×A4 | — | 16 | 1 | no | — |
| 816 | C4×A4 | #1580 | 1 | 1 | yes | characteristic |
| 817 | C4×A4 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 818 | SL(2,ℤ/4) | — | 8 | 1 | no | — |
| 819 | C3×D8 | — | 8 | 2 | no | — |
| 820 | C3×D8 | — | 16 | 1 | no | — |
| 821 | C2×C3×C8 | — | 4 | 1 | no | — |
| 822 | C2×C3×C8 | — | 4 | 1 | no | — |
| 823 | C2×C3×C8 | — | 16 | 1 | no | — |
| 824 | C2×C3×C8 | — | 32 | 1 | no | — |
| 825 | C2×C3×C8 | — | 64 | 2 | no | — |
| 826 | C3×C4⋊C4 | — | 16 | 1 | no | — |
| 827 | C3×C22⋊C4 | — | 32 | 1 | no | — |
| 828 | C3×C42 | — | 4 | 1 | no | — |
| 829 | #208 | — | 16 | 1 | no | — |
| 830 | Dic12 | — | 8 | 1 | no | — |
| 831 | D24 | — | 8 | 1 | no | — |
| 832 | #204 | — | 16 | 1 | no | — |
| 833 | ΓL(1,𝔽25) | — | 32 | 1 | no | — |
| 834 | D3×C8 | — | 32 | 1 | no | — |
| 835 | C3×C16 | — | 4 | 1 | no | — |
| 836 | C3×C16 | — | 4 | 1 | no | — |
| 837 | C3×C16 | — | 8 | 1 | no | — |
| 838 | C3×C16 | — | 16 | 1 | no | — |
| 839 | C3⋊C16 | — | 32 | 1 | no | — |
| 840 | C25 | — | 8 | 1 | no | — |
| 841 | C2×#41 | — | 12 | 1 | no | — |
| 842 | C22×D4 | — | 4 | 2 | no | — |
| 843 | C22×D4 | — | 8 | 1 | no | — |
| 844 | C22×D4 | — | 12 | 1 | no | — |
| 845 | C22×D4 | — | 12 | 1 | no | — |
| 846 | C22×D4 | — | 12 | 2 | no | — |
| 847 | C22×D4 | — | 24 | 1 | no | — |
| 848 | C22×D4 | — | 24 | 1 | no | — |
| 849 | C23×C4 | — | 2 | 1 | no | — |
| 850 | C23×C4 | — | 8 | 1 | no | — |
| 851 | C23×C4 | — | 16 | 1 | no | — |
| 852 | C23×C4 | — | 16 | 1 | no | — |
| 853 | C23×C4 | — | 24 | 1 | no | — |
| 854 | C23×C4 | — | 24 | 1 | no | — |
| 855 | C23×C4 | — | 24 | 1 | no | — |
| 856 | C23×C4 | — | 24 | 1 | no | — |
| 857 | C23×C4 | — | 48 | 1 | no | — |
| 858 | C23×C4 | — | 48 | 1 | no | — |
| 859 | C23×C4 | #5014 | 1 | 1 | yes | characteristic |
| 860 | #135 | — | 12 | 1 | no | — |
| 861 | #135 | — | 12 | 1 | no | — |
| 862 | #135 | — | 12 | 1 | no | — |
| 863 | #135 | — | 12 | 1 | no | — |
| 864 | C2×Q16 | — | 6 | 1 | no | — |
| 865 | C2×SD16 | — | 12 | 1 | no | — |
| 866 | C2×D8 | — | 2 | 1 | no | — |
| 867 | C2×D8 | — | 6 | 2 | no | — |
| 868 | C2×D8 | — | 6 | 2 | no | — |
| 869 | C2×D8 | — | 6 | 2 | no | — |
| 870 | C2×D8 | — | 6 | 2 | no | — |
| 871 | C2×D8 | — | 6 | 1 | no | — |
| 872 | C2×D8 | — | 6 | 1 | no | — |
| 873 | C2×D8 | — | 12 | 1 | no | — |
| 874 | C2×D8 | — | 12 | 1 | no | — |
| 875 | C2×D8 | — | 12 | 1 | no | — |
| 876 | C2×D8 | — | 12 | 1 | no | — |
| 877 | C2×D8 | — | 12 | 1 | no | — |
| 878 | C2×D8 | — | 12 | 2 | no | — |
| 879 | C2×D8 | — | 12 | 1 | no | — |
| 880 | C2×D8 | — | 12 | 2 | no | — |
| 881 | C2×D8 | — | 12 | 4 | no | — |
| 882 | #131 | — | 24 | 1 | no | — |
| 883 | #131 | — | 24 | 1 | no | — |
| 884 | #131 | — | 24 | 1 | no | — |
| 885 | #131 | — | 24 | 1 | no | — |
| 886 | C2×M16 | — | 12 | 1 | no | — |
| 887 | C2×M16 | — | 12 | 1 | no | — |
| 888 | C2×M16 | — | 24 | 1 | no | — |
| 889 | C22×C8 | — | 2 | 1 | no | — |
| 890 | C22×C8 | — | 3 | 1 | no | — |
| 891 | C22×C8 | — | 3 | 1 | no | — |
| 892 | C22×C8 | — | 3 | 1 | no | — |
| 893 | C22×C8 | — | 3 | 1 | no | — |
| 894 | C22×C8 | — | 3 | 1 | no | — |
| 895 | C22×C8 | — | 3 | 1 | no | — |
| 896 | C22×C8 | — | 6 | 1 | no | — |
| 897 | C22×C8 | — | 8 | 1 | no | — |
| 898 | C22×C8 | — | 8 | 1 | no | — |
| 899 | C22×C8 | — | 12 | 1 | no | — |
| 900 | C22×C8 | — | 12 | 1 | no | — |
| 901 | C22×C8 | — | 16 | 1 | no | — |
| 902 | C22×C8 | — | 24 | 1 | no | — |
| 903 | C22×C8 | — | 24 | 1 | no | — |
| 904 | C22×C8 | — | 24 | 1 | no | — |
| 905 | C22×C8 | — | 24 | 1 | no | — |
| 906 | C22×C8 | — | 24 | 1 | no | — |
| 907 | C22×C8 | — | 24 | 2 | no | — |
| 908 | C22×C8 | — | 24 | 1 | no | — |
| 909 | C22×C8 | — | 24 | 1 | no | — |
| 910 | C22×C8 | — | 48 | 2 | no | — |
| 911 | C22×C8 | — | 48 | 2 | no | — |
| 912 | C22×C8 | — | 48 | 2 | no | — |
| 913 | C22×C8 | — | 48 | 2 | no | — |
| 914 | C22×C8 | — | 48 | 2 | no | — |
| 915 | C22×C8 | — | 48 | 2 | no | — |
| 916 | C22×C8 | — | 48 | 2 | no | — |
| 917 | C22×C8 | — | 48 | 2 | no | — |
| 918 | C22×C8 | — | 48 | 1 | no | — |
| 919 | C22×C8 | C8×#67 | 1 | 1 | yes | characteristic |
| 920 | C22×C8 | #5145 | 1 | 1 | yes | characteristic |
| 921 | #123 | — | 24 | 1 | no | — |
| 922 | C22⋊Q8 | — | 12 | 1 | no | — |
| 923 | C22⋊Q8 | — | 12 | 1 | no | — |
| 924 | #121 | — | 12 | 1 | no | — |
| 925 | #121 | — | 12 | 1 | no | — |
| 926 | #120 | — | 24 | 1 | no | — |
| 927 | C4×D4 | — | 4 | 1 | no | — |
| 928 | C4×D4 | — | 12 | 1 | no | — |
| 929 | C4×D4 | — | 12 | 1 | no | — |
| 930 | C4×D4 | — | 12 | 2 | no | — |
| 931 | C4×D4 | — | 12 | 1 | no | — |
| 932 | C4×D4 | — | 24 | 2 | no | — |
| 933 | C4×D4 | — | 24 | 2 | no | — |
| 934 | C4×D4 | — | 24 | 1 | no | — |
| 935 | C4×D4 | — | 24 | 1 | no | — |
| 936 | C4×D4 | — | 24 | 1 | no | — |
| 937 | C4×D4 | — | 24 | 1 | no | — |
| 938 | C4×D4 | — | 24 | 1 | no | — |
| 939 | C4×D4 | — | 24 | 1 | no | — |
| 940 | #117 | — | 12 | 1 | no | — |
| 941 | C2×C4⋊C4 | — | 12 | 1 | no | — |
| 942 | C2×C4⋊C4 | — | 12 | 1 | no | — |
| 943 | C2×C4⋊C4 | — | 24 | 1 | no | — |
| 944 | C2×C22⋊C4 | — | 24 | 1 | no | — |
| 945 | C2×C22⋊C4 | — | 24 | 1 | no | — |
| 946 | C2×C22⋊C4 | — | 24 | 1 | no | — |
| 947 | C2×C22⋊C4 | — | 24 | 1 | no | — |
| 948 | C2×C42 | — | 3 | 1 | no | — |
| 949 | C2×C42 | — | 3 | 1 | no | — |
| 950 | C2×C42 | — | 6 | 1 | no | — |
| 951 | Q32 | — | 6 | 1 | no | — |
| 952 | Q32 | — | 6 | 1 | no | — |
| 953 | SD32 | — | 12 | 1 | no | — |
| 954 | SD32 | — | 12 | 1 | no | — |
| 955 | D16 | — | 2 | 1 | no | — |
| 956 | D16 | — | 3 | 4 | no | — |
| 957 | D16 | — | 3 | 2 | no | — |
| 958 | D16 | — | 6 | 2 | no | — |
| 959 | D16 | — | 6 | 2 | no | — |
| 960 | D16 | — | 6 | 2 | no | — |
| 961 | D16 | — | 6 | 1 | no | — |
| 962 | D16 | — | 6 | 1 | no | — |
| 963 | D16 | — | 6 | 1 | no | — |
| 964 | D16 | C8×S4 | 1 | 2 | yes | — |
| 965 | M32 | — | 24 | 1 | no | — |
| 966 | M32 | — | 24 | 1 | no | — |
| 967 | M32 | — | 24 | 1 | no | — |
| 968 | M32 | — | 24 | 1 | no | — |
| 969 | M32 | — | 48 | 1 | no | — |
| 970 | M32 | — | 48 | 1 | no | — |
| 971 | C2×C16 | — | 2 | 1 | no | — |
| 972 | C2×C16 | — | 3 | 1 | no | — |
| 973 | C2×C16 | — | 3 | 1 | no | — |
| 974 | C2×C16 | — | 3 | 1 | no | — |
| 975 | C2×C16 | — | 3 | 1 | no | — |
| 976 | C2×C16 | — | 3 | 1 | no | — |
| 977 | C2×C16 | — | 3 | 1 | no | — |
| 978 | C2×C16 | — | 3 | 1 | no | — |
| 979 | C2×C16 | — | 3 | 1 | no | — |
| 980 | C2×C16 | — | 6 | 1 | no | — |
| 981 | C2×C16 | — | 6 | 1 | no | — |
| 982 | C2×C16 | — | 6 | 1 | no | — |
| 983 | C2×C16 | — | 6 | 1 | no | — |
| 984 | C2×C16 | — | 6 | 1 | no | — |
| 985 | C2×C16 | — | 6 | 1 | no | — |
| 986 | C2×C16 | — | 12 | 1 | no | — |
| 987 | C2×C16 | — | 12 | 1 | no | — |
| 988 | C2×C16 | — | 12 | 1 | no | — |
| 989 | C2×C16 | — | 12 | 1 | no | — |
| 990 | C2×C16 | — | 24 | 1 | no | — |
| 991 | C2×C16 | — | 24 | 1 | no | — |
| 992 | C2×C16 | — | 48 | 1 | no | — |
| 993 | C2×C16 | — | 48 | 1 | no | — |
| 994 | C2×C16 | C2×C4×S4 | 1 | 1 | yes | characteristic |
| 995 | C2×C16 | #5912 | 1 | 1 | yes | characteristic |
| 996 | #108 | — | 12 | 1 | no | — |
| 997 | #108 | — | 12 | 1 | no | — |
| 998 | #108 | — | 12 | 1 | no | — |
| 999 | #108 | — | 12 | 1 | no | — |
| 1000 | #107 | — | 2 | 1 | no | — |
| 1001 | #107 | — | 6 | 1 | no | — |
| 1002 | #107 | — | 6 | 1 | no | — |
| 1003 | #107 | — | 6 | 1 | no | — |
| 1004 | #107 | — | 12 | 1 | no | — |
| 1005 | #107 | — | 12 | 1 | no | — |
| 1006 | #106 | — | 12 | 1 | no | — |
| 1007 | C4⋊C8 | — | 4 | 1 | no | — |
| 1008 | C4⋊C8 | — | 12 | 1 | no | — |
| 1009 | C4⋊C8 | — | 24 | 1 | no | — |
| 1010 | C4⋊C8 | — | 24 | 1 | no | — |
| 1011 | C4⋊C8 | — | 24 | 1 | no | — |
| 1012 | C4⋊C8 | — | 24 | 1 | no | — |
| 1013 | #104 | — | 24 | 2 | no | — |
| 1014 | #104 | — | 24 | 1 | no | — |
| 1015 | #104 | — | 24 | 1 | no | — |
| 1016 | #103 | — | 12 | 1 | no | — |
| 1017 | #103 | — | 12 | 1 | no | — |
| 1018 | #102 | — | 4 | 1 | no | — |
| 1019 | #102 | — | 12 | 1 | no | — |
| 1020 | #102 | — | 12 | 1 | no | — |
| 1021 | #102 | — | 12 | 2 | no | — |
| 1022 | #102 | — | 12 | 1 | no | — |
| 1023 | #102 | — | 12 | 1 | no | — |
| 1024 | #102 | — | 12 | 1 | no | — |
| 1025 | C22⋊C8 | — | 8 | 1 | no | — |
| 1026 | C22⋊C8 | — | 24 | 1 | no | — |
| 1027 | C22⋊C8 | — | 24 | 1 | no | — |
| 1028 | C22⋊C8 | — | 24 | 1 | no | — |
| 1029 | C22⋊C8 | — | 24 | 1 | no | — |
| 1030 | C22⋊C8 | — | 24 | 1 | no | — |
| 1031 | C22⋊C8 | — | 24 | 2 | no | — |
| 1032 | C22⋊C8 | — | 24 | 1 | no | — |
| 1033 | C22⋊C8 | — | 24 | 1 | no | — |
| 1034 | #97 | — | 24 | 1 | no | — |
| 1035 | C4×C8 | — | 2 | 1 | no | — |
| 1036 | C4×C8 | — | 3 | 1 | no | — |
| 1037 | C4×C8 | — | 3 | 1 | no | — |
| 1038 | C4×C8 | — | 3 | 1 | no | — |
| 1039 | C4×C8 | — | 6 | 1 | no | — |
| 1040 | C4×C8 | — | 6 | 1 | no | — |
| 1041 | C4×C8 | — | 12 | 1 | no | — |
| 1042 | C4×C8 | — | 12 | 1 | no | — |
| 1043 | C4×C8 | — | 24 | 1 | no | — |
| 1044 | C4×C8 | C2×GL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 1045 | C32 | — | 6 | 2 | no | — |
| 1046 | C32 | — | 6 | 2 | no | — |
| 1047 | C32 | — | 12 | 1 | no | — |
| 1048 | C32 | — | 12 | 1 | no | — |
| 1049 | C32 | — | 24 | 1 | no | — |
| 1050 | C32 | — | 24 | 1 | no | — |
| 1051 | C23×C3 | — | 32 | 1 | no | — |
| 1052 | C2×A4 | — | 2 | 1 | no | — |
| 1053 | C2×A4 | — | 16 | 2 | no | — |
| 1054 | C2×A4 | #12067 | 1 | 1 | yes | characteristic |
| 1055 | S4 | — | 16 | 1 | no | — |
| 1056 | C3×D4 | — | 16 | 2 | no | — |
| 1057 | C3×D4 | — | 32 | 1 | no | — |
| 1058 | C2×C3×C4 | — | 4 | 1 | no | — |
| 1059 | C2×C3×C4 | — | 8 | 1 | no | — |
| 1060 | C2×C3×C4 | — | 32 | 1 | no | — |
| 1061 | C2×C3×C4 | — | 64 | 1 | no | — |
| 1062 | C2×C3×C4 | — | 64 | 1 | no | — |
| 1063 | #67 | — | 32 | 1 | no | — |
| 1064 | D12 | — | 16 | 1 | no | — |
| 1065 | C4×D3 | — | 32 | 1 | no | — |
| 1066 | Dic6 | — | 16 | 1 | no | — |
| 1067 | C3×C8 | — | 4 | 1 | no | — |
| 1068 | C3×C8 | — | 4 | 1 | no | — |
| 1069 | C3×C8 | — | 8 | 1 | no | — |
| 1070 | C3×C8 | — | 32 | 1 | no | — |
| 1071 | C3×C8 | — | 64 | 1 | no | — |
| 1072 | C3⋊C8 | — | 32 | 1 | no | — |
| 1073 | C24 | — | 8 | 2 | no | — |
| 1074 | C24 | — | 16 | 1 | no | — |
| 1075 | C24 | — | 16 | 1 | no | — |
| 1076 | C24 | — | 24 | 1 | no | — |
| 1077 | C24 | — | 24 | 1 | no | — |
| 1078 | C24 | — | 24 | 2 | no | — |
| 1079 | C24 | — | 48 | 1 | no | — |
| 1080 | C24 | — | 48 | 1 | no | — |
| 1081 | C24 | #70918 | 1 | 1 | yes | characteristic |
| 1082 | #41 | — | 24 | 1 | no | — |
| 1083 | #41 | — | 24 | 1 | no | — |
| 1084 | #41 | — | 24 | 1 | no | — |
| 1085 | #41 | — | 24 | 1 | no | — |
| 1086 | C2×Q8 | — | 12 | 1 | no | — |
| 1087 | C2×D4 | — | 4 | 1 | no | — |
| 1088 | C2×D4 | — | 12 | 2 | no | — |
| 1089 | C2×D4 | — | 12 | 2 | no | — |
| 1090 | C2×D4 | — | 12 | 2 | no | — |
| 1091 | C2×D4 | — | 12 | 2 | no | — |
| 1092 | C2×D4 | — | 12 | 1 | no | — |
| 1093 | C2×D4 | — | 12 | 1 | no | — |
| 1094 | C2×D4 | — | 24 | 1 | no | — |
| 1095 | C2×D4 | — | 24 | 1 | no | — |
| 1096 | C2×D4 | — | 24 | 1 | no | — |
| 1097 | C2×D4 | — | 24 | 1 | no | — |
| 1098 | C2×D4 | — | 24 | 1 | no | — |
| 1099 | C2×D4 | — | 24 | 2 | no | — |
| 1100 | C2×D4 | — | 24 | 1 | no | — |
| 1101 | C2×D4 | — | 24 | 2 | no | — |
| 1102 | C2×D4 | — | 24 | 4 | no | — |
| 1103 | C2×D4 | — | 24 | 1 | no | — |
| 1104 | C2×D4 | — | 24 | 1 | no | — |
| 1105 | C2×D4 | — | 24 | 1 | no | — |
| 1106 | C22×C4 | — | 3 | 1 | no | — |
| 1107 | C22×C4 | — | 3 | 1 | no | — |
| 1108 | C22×C4 | — | 3 | 1 | no | — |
| 1109 | C22×C4 | — | 3 | 1 | no | — |
| 1110 | C22×C4 | — | 4 | 1 | no | — |
| 1111 | C22×C4 | — | 6 | 1 | no | — |
| 1112 | C22×C4 | — | 6 | 1 | no | — |
| 1113 | C22×C4 | — | 8 | 1 | no | — |
| 1114 | C22×C4 | — | 12 | 1 | no | — |
| 1115 | C22×C4 | — | 16 | 1 | no | — |
| 1116 | C22×C4 | — | 24 | 1 | no | — |
| 1117 | C22×C4 | — | 24 | 1 | no | — |
| 1118 | C22×C4 | — | 24 | 1 | no | — |
| 1119 | C22×C4 | — | 24 | 1 | no | — |
| 1120 | C22×C4 | — | 24 | 2 | no | — |
| 1121 | C22×C4 | — | 24 | 1 | no | — |
| 1122 | C22×C4 | — | 24 | 1 | no | — |
| 1123 | C22×C4 | — | 48 | 1 | no | — |
| 1124 | C22×C4 | — | 48 | 1 | no | — |
| 1125 | C22×C4 | — | 48 | 1 | no | — |
| 1126 | C22×C4 | — | 48 | 1 | no | — |
| 1127 | C22×C4 | — | 48 | 2 | no | — |
| 1128 | C22×C4 | — | 48 | 2 | no | — |
| 1129 | C22×C4 | — | 48 | 1 | no | — |
| 1130 | C22×C4 | — | 48 | 1 | no | — |
| 1131 | C22×C4 | — | 48 | 1 | no | — |
| 1132 | C22×C4 | — | 48 | 1 | no | — |
| 1133 | C22×C4 | — | 48 | 1 | no | — |
| 1134 | C22×C4 | — | 48 | 1 | no | — |
| 1135 | C22×C4 | — | 48 | 1 | no | — |
| 1136 | C22×C4 | — | 48 | 1 | no | — |
| 1137 | C22×C4 | — | 48 | 1 | no | — |
| 1138 | C22×C4 | #70840 | 1 | 1 | yes | characteristic |
| 1139 | C22×C4 | #70929 | 1 | 1 | yes | characteristic |
| 1140 | Q16 | — | 12 | 1 | no | — |
| 1141 | Q16 | — | 12 | 1 | no | — |
| 1142 | SD16 | — | 24 | 1 | no | — |
| 1143 | SD16 | — | 24 | 1 | no | — |
| 1144 | D8 | — | 2 | 2 | no | — |
| 1145 | D8 | — | 4 | 1 | no | — |
| 1146 | D8 | — | 6 | 2 | no | — |
| 1147 | D8 | — | 12 | 2 | no | — |
| 1148 | D8 | — | 12 | 2 | no | — |
| 1149 | D8 | — | 12 | 2 | no | — |
| 1150 | D8 | — | 12 | 2 | no | — |
| 1151 | D8 | — | 12 | 1 | no | — |
| 1152 | D8 | — | 12 | 1 | no | — |
| 1153 | D8 | — | 12 | 1 | no | — |
| 1154 | M16 | — | 24 | 1 | no | — |
| 1155 | M16 | — | 24 | 1 | no | — |
| 1156 | M16 | — | 24 | 1 | no | — |
| 1157 | M16 | — | 24 | 1 | no | — |
| 1158 | M16 | — | 48 | 1 | no | — |
| 1159 | M16 | — | 48 | 1 | no | — |
| 1160 | C2×C8 | — | 3 | 1 | no | — |
| 1161 | C2×C8 | — | 3 | 1 | no | — |
| 1162 | C2×C8 | — | 3 | 1 | no | — |
| 1163 | C2×C8 | — | 3 | 1 | no | — |
| 1164 | C2×C8 | — | 3 | 1 | no | — |
| 1165 | C2×C8 | — | 3 | 1 | no | — |
| 1166 | C2×C8 | — | 3 | 1 | no | — |
| 1167 | C2×C8 | — | 3 | 1 | no | — |
| 1168 | C2×C8 | — | 4 | 1 | no | — |
| 1169 | C2×C8 | — | 6 | 1 | no | — |
| 1170 | C2×C8 | — | 6 | 1 | no | — |
| 1171 | C2×C8 | — | 6 | 1 | no | — |
| 1172 | C2×C8 | — | 6 | 1 | no | — |
| 1173 | C2×C8 | — | 6 | 1 | no | — |
| 1174 | C2×C8 | — | 8 | 1 | no | — |
| 1175 | C2×C8 | — | 12 | 1 | no | — |
| 1176 | C2×C8 | — | 16 | 2 | no | — |
| 1177 | C2×C8 | — | 24 | 1 | no | — |
| 1178 | C2×C8 | — | 24 | 1 | no | — |
| 1179 | C2×C8 | — | 24 | 1 | no | — |
| 1180 | C2×C8 | — | 24 | 1 | no | — |
| 1181 | C2×C8 | — | 24 | 1 | no | — |
| 1182 | C2×C8 | — | 24 | 1 | no | — |
| 1183 | C2×C8 | — | 24 | 1 | no | — |
| 1184 | C2×C8 | — | 48 | 1 | no | — |
| 1185 | C2×C8 | — | 48 | 1 | no | — |
| 1186 | C2×C8 | — | 48 | 2 | no | — |
| 1187 | C2×C8 | — | 48 | 2 | no | — |
| 1188 | C2×C8 | — | 48 | 1 | no | — |
| 1189 | C2×C8 | — | 48 | 1 | no | — |
| 1190 | C2×C8 | — | 48 | 2 | no | — |
| 1191 | C2×C8 | — | 48 | 4 | no | — |
| 1192 | C2×C8 | — | 48 | 1 | no | — |
| 1193 | C2×C8 | — | 48 | 1 | no | — |
| 1194 | C2×C8 | C4×GL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 1195 | C2×C8 | #85513 | 1 | 1 | yes | characteristic |
| 1196 | C4⋊C4 | — | 4 | 1 | no | — |
| 1197 | C4⋊C4 | — | 12 | 1 | no | — |
| 1198 | C4⋊C4 | — | 12 | 1 | no | — |
| 1199 | C4⋊C4 | — | 12 | 1 | no | — |
| 1200 | C4⋊C4 | — | 24 | 1 | no | — |
| 1201 | C4⋊C4 | — | 24 | 1 | no | — |
| 1202 | C4⋊C4 | — | 24 | 1 | no | — |
| 1203 | C4⋊C4 | — | 24 | 1 | no | — |
| 1204 | C22⋊C4 | — | 8 | 1 | no | — |
| 1205 | C22⋊C4 | — | 24 | 1 | no | — |
| 1206 | C22⋊C4 | — | 24 | 1 | no | — |
| 1207 | C22⋊C4 | — | 24 | 1 | no | — |
| 1208 | C22⋊C4 | — | 24 | 1 | no | — |
| 1209 | C22⋊C4 | — | 24 | 1 | no | — |
| 1210 | C22⋊C4 | — | 24 | 2 | no | — |
| 1211 | C22⋊C4 | — | 24 | 1 | no | — |
| 1212 | C22⋊C4 | — | 24 | 1 | no | — |
| 1213 | C22⋊C4 | — | 24 | 1 | no | — |
| 1214 | C42 | — | 3 | 2 | no | — |
| 1215 | C42 | — | 3 | 1 | no | — |
| 1216 | C42 | — | 6 | 1 | no | — |
| 1217 | C42 | — | 24 | 1 | no | — |
| 1218 | C42 | #85489 | 1 | 1 | yes | characteristic |
| 1219 | C16 | — | 2 | 1 | no | — |
| 1220 | C16 | — | 3 | 1 | no | — |
| 1221 | C16 | — | 3 | 1 | no | — |
| 1222 | C16 | — | 4 | 1 | no | — |
| 1223 | C16 | — | 6 | 1 | no | — |
| 1224 | C16 | — | 12 | 1 | no | — |
| 1225 | C16 | — | 48 | 1 | no | — |
| 1226 | C16 | — | 48 | 1 | no | — |
| 1227 | C16 | C2×C8×S4 | 1 | 1 | yes | characteristic |
| 1228 | C16 | #85437 | 1 | 1 | yes | characteristic |
| 1229 | C22×C3 | — | 4 | 1 | no | — |
| 1230 | C22×C3 | — | 32 | 2 | no | — |
| 1231 | C22×C3 | — | 64 | 1 | no | — |
| 1232 | C22×C3 | — | 64 | 1 | no | — |
| 1233 | C2×D3 | — | 32 | 1 | no | — |
| 1234 | A4 | AGL(1,ℤ/32) | 1 | 1 | yes | characteristic, complemented |
| 1235 | C3×C4 | — | 4 | 1 | no | — |
| 1236 | C3×C4 | — | 4 | 1 | no | — |
| 1237 | C3×C4 | — | 16 | 1 | no | — |
| 1238 | C3×C4 | — | 64 | 1 | no | — |
| 1239 | Dic3 | — | 32 | 1 | no | — |
| 1240 | C23 | — | 2 | 1 | no | — |
| 1241 | C23 | — | 3 | 1 | no | — |
| 1242 | C23 | — | 3 | 1 | no | — |
| 1243 | C23 | — | 6 | 1 | no | — |
| 1244 | C23 | — | 8 | 1 | no | — |
| 1245 | C23 | — | 16 | 2 | no | — |
| 1246 | C23 | — | 24 | 2 | no | — |
| 1247 | C23 | — | 24 | 2 | no | — |
| 1248 | C23 | — | 24 | 2 | no | — |
| 1249 | C23 | — | 24 | 2 | no | — |
| 1250 | C23 | — | 24 | 1 | no | — |
| 1251 | C23 | — | 24 | 1 | no | — |
| 1252 | C23 | — | 48 | 2 | no | — |
| 1253 | C23 | — | 48 | 4 | no | — |
| 1254 | C23 | — | 48 | 1 | no | — |
| 1255 | C23 | — | 48 | 1 | no | — |
| 1256 | C23 | — | 48 | 1 | no | — |
| 1257 | C23 | — | 48 | 1 | no | — |
| 1258 | C23 | — | 48 | 1 | no | — |
| 1259 | C23 | — | 48 | 1 | no | — |
| 1260 | C23 | — | 48 | 1 | no | — |
| 1261 | C23 | — | 48 | 2 | no | — |
| 1262 | C23 | — | 48 | 2 | no | — |
| 1263 | C23 | — | 48 | 1 | no | — |
| 1264 | C23 | #10707070 | 1 | 1 | yes | characteristic |
| 1265 | Q8 | — | 24 | 1 | no | — |
| 1266 | Q8 | — | 24 | 1 | no | — |
| 1267 | D4 | — | 4 | 2 | no | — |
| 1268 | D4 | — | 8 | 1 | no | — |
| 1269 | D4 | — | 12 | 2 | no | — |
| 1270 | D4 | — | 24 | 2 | no | — |
| 1271 | D4 | — | 24 | 2 | no | — |
| 1272 | D4 | — | 24 | 2 | no | — |
| 1273 | D4 | — | 24 | 2 | no | — |
| 1274 | D4 | — | 24 | 1 | no | — |
| 1275 | D4 | — | 24 | 1 | no | — |
| 1276 | D4 | — | 24 | 1 | no | — |
| 1277 | D4 | — | 48 | 1 | no | — |
| 1278 | D4 | — | 48 | 2 | no | — |
| 1279 | D4 | — | 48 | 1 | no | — |
| 1280 | D4 | — | 48 | 1 | no | — |
| 1281 | D4 | — | 48 | 1 | no | — |
| 1282 | C2×C4 | — | 2 | 1 | no | — |
| 1283 | C2×C4 | — | 3 | 1 | no | — |
| 1284 | C2×C4 | — | 3 | 1 | no | — |
| 1285 | C2×C4 | — | 3 | 1 | no | — |
| 1286 | C2×C4 | — | 3 | 1 | no | — |
| 1287 | C2×C4 | — | 3 | 1 | no | — |
| 1288 | C2×C4 | — | 3 | 1 | no | — |
| 1289 | C2×C4 | — | 3 | 1 | no | — |
| 1290 | C2×C4 | — | 6 | 1 | no | — |
| 1291 | C2×C4 | — | 6 | 1 | no | — |
| 1292 | C2×C4 | — | 8 | 1 | no | — |
| 1293 | C2×C4 | — | 12 | 1 | no | — |
| 1294 | C2×C4 | — | 12 | 1 | no | — |
| 1295 | C2×C4 | — | 12 | 1 | no | — |
| 1296 | C2×C4 | — | 12 | 1 | no | — |
| 1297 | C2×C4 | — | 16 | 1 | no | — |
| 1298 | C2×C4 | — | 16 | 1 | no | — |
| 1299 | C2×C4 | — | 24 | 1 | no | — |
| 1300 | C2×C4 | — | 24 | 1 | no | — |
| 1301 | C2×C4 | — | 24 | 1 | no | — |
| 1302 | C2×C4 | — | 24 | 1 | no | — |
| 1303 | C2×C4 | — | 48 | 1 | no | — |
| 1304 | C2×C4 | — | 48 | 1 | no | — |
| 1305 | C2×C4 | — | 48 | 1 | no | — |
| 1306 | C2×C4 | — | 48 | 1 | no | — |
| 1307 | C2×C4 | — | 48 | 1 | no | — |
| 1308 | C2×C4 | — | 48 | 1 | no | — |
| 1309 | C2×C4 | — | 48 | 1 | no | — |
| 1310 | C2×C4 | — | 48 | 2 | no | — |
| 1311 | C2×C4 | — | 48 | 2 | no | — |
| 1312 | C2×C4 | — | 48 | 1 | no | — |
| 1313 | C2×C4 | — | 48 | 1 | no | — |
| 1314 | C2×C4 | — | 48 | 1 | no | — |
| 1315 | C2×C4 | — | 48 | 1 | no | — |
| 1316 | C2×C4 | — | 48 | 1 | no | — |
| 1317 | C2×C4 | #11712805 | 1 | 1 | yes | characteristic |
| 1318 | C8 | — | 2 | 1 | no | — |
| 1319 | C8 | — | 3 | 1 | no | — |
| 1320 | C8 | — | 3 | 1 | no | — |
| 1321 | C8 | — | 6 | 1 | no | — |
| 1322 | C8 | — | 8 | 1 | no | — |
| 1323 | C8 | — | 16 | 1 | no | — |
| 1324 | C8 | — | 24 | 1 | no | — |
| 1325 | C8 | — | 48 | 1 | no | — |
| 1326 | C8 | — | 48 | 1 | no | — |
| 1327 | C8 | — | 48 | 1 | no | — |
| 1328 | C8 | C8×GL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 1329 | C8 | #11712823 | 1 | 1 | yes | characteristic |
| 1330 | C2×C3 | — | 4 | 1 | no | — |
| 1331 | C2×C3 | — | 8 | 1 | no | — |
| 1332 | C2×C3 | — | 64 | 2 | no | — |
| 1333 | D3 | — | 64 | 1 | no | — |
| 1334 | C22 | — | 3 | 1 | no | — |
| 1335 | C22 | — | 3 | 1 | no | — |
| 1336 | C22 | — | 3 | 2 | no | — |
| 1337 | C22 | — | 3 | 1 | no | — |
| 1338 | C22 | — | 6 | 1 | no | — |
| 1339 | C22 | — | 6 | 1 | no | — |
| 1340 | C22 | — | 6 | 1 | no | — |
| 1341 | C22 | — | 8 | 2 | no | — |
| 1342 | C22 | — | 16 | 1 | no | — |
| 1343 | C22 | — | 16 | 1 | no | — |
| 1344 | C22 | — | 24 | 2 | no | — |
| 1345 | C22 | — | 48 | 1 | no | — |
| 1346 | C22 | — | 48 | 1 | no | — |
| 1347 | C22 | — | 48 | 2 | no | — |
| 1348 | C22 | — | 48 | 2 | no | — |
| 1349 | C22 | — | 48 | 2 | no | — |
| 1350 | C22 | — | 48 | 2 | no | — |
| 1351 | C22 | — | 48 | 1 | no | — |
| 1352 | C22 | — | 48 | 1 | no | — |
| 1353 | C22 | — | 48 | 2 | no | — |
| 1354 | C22 | — | 48 | 2 | no | — |
| 1355 | C22 | — | 48 | 2 | no | — |
| 1356 | C22 | — | 48 | 2 | no | — |
| 1357 | C22 | — | 48 | 1 | no | — |
| 1358 | C22 | #72222516 | 1 | 1 | yes | characteristic, complemented |
| 1359 | C22 | #72241430 | 1 | 1 | yes | characteristic |
| 1360 | C4 | — | 3 | 1 | no | — |
| 1361 | C4 | — | 3 | 1 | no | — |
| 1362 | C4 | — | 4 | 1 | no | — |
| 1363 | C4 | — | 12 | 1 | no | — |
| 1364 | C4 | — | 16 | 1 | no | — |
| 1365 | C4 | — | 48 | 1 | no | — |
| 1366 | C4 | — | 48 | 1 | no | — |
| 1367 | C4 | — | 48 | 1 | no | — |
| 1368 | C4 | — | 48 | 1 | no | — |
| 1369 | C4 | #72241438 | 1 | 1 | yes | characteristic |
| 1370 | C4 | #72342696 | 1 | 1 | yes | characteristic |
| 1371 | C3 | — | 4 | 1 | no | Sylow |
| 1372 | C2 | — | 2 | 1 | no | — |
| 1373 | C2 | — | 3 | 1 | no | — |
| 1374 | C2 | — | 3 | 1 | no | — |
| 1375 | C2 | — | 6 | 1 | no | — |
| 1376 | C2 | — | 16 | 2 | no | — |
| 1377 | C2 | — | 48 | 2 | no | — |
| 1378 | C2 | — | 96 | 1 | no | — |
| 1379 | C2 | #72342761 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72342867 | C2 | semidirect |
| 4. #72342846 | C2 | semidirect |
| 5. #72342844 | C2 | semidirect |
| 6. #72342835 | C2 | semidirect |
| 7. #72342830 | C2 | semidirect |
| 13. A4×#12067 | C2 | semidirect |
| 35. C22×#12067 | D3 | semidirect |
| 43. #11711664 | C8 | semidirect |
| 44. #11711662 | C8 | semidirect |
| 145. #73037 | C2×C8 | semidirect |
| 147. #73035 | C2×C8 | semidirect |
| 157. A4⋊C32 | C2×C8 | semidirect |
| 252. #12067 | S4 | semidirect |
| 1234. A4 | AGL(1,ℤ/32) | semidirect |
| 1358. C22 | #72222516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72342867 | 2 |
| #72342846 | 2 |
| #72342844 | 2 |
| #72342835 | 2 |
| #72342830 | 2 |
| #72342762 | 2 |
| A4×#12067 | 2 |
| #72225052 | 3 |
| #72222516 | 4 |