Finite Group DatabasebetaFinite Group DatabasebetaOrder 6144.
1537 conjugacy classes of subgroups.
The subgroup lattice has 1377 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | A4×#12068 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | A4×#1336 | — | 2 | 1 | no | — |
| 3 | A4×#2171 | — | 2 | 1 | no | — |
| 4 | #72342862 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #72342850 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72342846 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72342839 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #72342810 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #72342806 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #72342805 | C4 | 1 | 1 | yes | characteristic |
| 11 | #72342804 | C4 | 1 | 1 | yes | characteristic |
| 12 | #72342802 | C4 | 1 | 1 | yes | characteristic |
| 13 | #72342799 | C4 | 1 | 1 | yes | characteristic |
| 14 | #72342736 | — | 2 | 1 | no | — |
| 15 | #72342714 | — | 2 | 1 | no | — |
| 16 | A4×#1369 | C22 | 1 | 1 | yes | characteristic |
| 17 | A4×#1313 | C22 | 1 | 1 | yes | characteristic |
| 18 | #72342693 | C22 | 1 | 1 | yes | characteristic |
| 19 | #72342690 | C22 | 1 | 1 | yes | characteristic |
| 20 | #72342686 | C22 | 1 | 1 | yes | characteristic |
| 21 | #72342686 | C22 | 1 | 1 | yes | characteristic |
| 22 | A4×#2179 | C22 | 1 | 1 | yes | characteristic |
| 23 | #72287313 | — | 3 | 1 | no | maximal, Sylow |
| 24 | #72287252 | — | 3 | 1 | no | — |
| 25 | #72287163 | — | 3 | 1 | no | — |
| 26 | #72287120 | — | 3 | 1 | no | — |
| 27 | #72287120 | — | 3 | 1 | no | — |
| 28 | #72287038 | — | 3 | 1 | no | — |
| 29 | #72287038 | — | 3 | 1 | no | — |
| 30 | #72286674 | — | 3 | 1 | no | — |
| 31 | #72286589 | — | 3 | 1 | no | — |
| 32 | #72227152 | — | 3 | 1 | no | — |
| 33 | C22×#12068 | D3 | 1 | 1 | yes | characteristic, complemented |
| 34 | #72223645 | — | 3 | 1 | no | — |
| 35 | #72223645 | — | 3 | 1 | no | — |
| 36 | #72222519 | — | 4 | 1 | no | maximal |
| 37 | #72217184 | — | 3 | 1 | no | — |
| 38 | C2×AGL(1,ℤ/32) | — | 3 | 1 | no | — |
| 39 | C2×AGL(1,ℤ/32) | — | 3 | 1 | no | — |
| 40 | C2×#73035 | C2×C4 | 1 | 1 | yes | characteristic |
| 41 | C4×#5402 | — | 2 | 1 | no | — |
| 42 | C8×C4⋊S4 | — | 4 | 1 | no | — |
| 43 | #11711663 | 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 | #11711598 | — | 2 | 1 | no | — |
| 49 | #11711537 | C2×C4 | 1 | 1 | yes | characteristic |
| 50 | #11711145 | — | 4 | 1 | no | — |
| 51 | #11711066 | — | 2 | 1 | no | — |
| 52 | A4×#508 | C2×C4 | 1 | 1 | yes | characteristic |
| 53 | A4×#504 | — | 4 | 1 | no | — |
| 54 | A4×#443 | — | 2 | 1 | no | — |
| 55 | A4×#368 | C2×C4 | 1 | 1 | yes | characteristic |
| 56 | A4×#364 | — | 2 | 1 | no | — |
| 57 | A4×#359 | — | 2 | 1 | no | — |
| 58 | A4×#350 | — | 4 | 1 | no | — |
| 59 | A4×#346 | D4 | 1 | 1 | yes | characteristic |
| 60 | A4×#346 | C23 | 1 | 1 | yes | characteristic |
| 61 | A4×#322 | D4 | 1 | 1 | yes | characteristic |
| 62 | #10715812 | — | 4 | 1 | no | — |
| 63 | #10707073 | — | 4 | 1 | no | — |
| 64 | #10682858 | — | 4 | 1 | no | — |
| 65 | #10682657 | — | 4 | 1 | no | — |
| 66 | #10682655 | — | 4 | 1 | no | — |
| 67 | #10682523 | — | 4 | 1 | no | — |
| 68 | C3×#12068 | — | 4 | 1 | no | — |
| 69 | C22×#2179 | C2×D3 | 1 | 1 | yes | characteristic |
| 70 | C22×#2171 | — | 2 | 1 | no | — |
| 71 | #512830 | — | 3 | 1 | no | — |
| 72 | C2×#13658 | — | 3 | 1 | no | — |
| 73 | C2×#13658 | — | 3 | 1 | no | — |
| 74 | #495862 | — | 3 | 1 | no | — |
| 75 | C2×#12068 | — | 3 | 1 | no | — |
| 76 | C2×#12068 | — | 3 | 1 | no | — |
| 77 | C2×#12068 | — | 3 | 1 | no | — |
| 78 | C2×#12068 | — | 3 | 1 | no | — |
| 79 | C2×#12068 | — | 6 | 1 | no | — |
| 80 | C2×#12068 | — | 6 | 1 | no | — |
| 81 | C2×#12067 | — | 3 | 1 | no | — |
| 82 | C22×#1369 | C2×D3 | 1 | 1 | yes | characteristic |
| 83 | C22×#1336 | — | 2 | 1 | no | — |
| 84 | C22×#1313 | C2×D3 | 1 | 1 | yes | characteristic |
| 85 | #210728 | — | 6 | 1 | no | — |
| 86 | #152548 | — | 3 | 1 | no | — |
| 87 | #152548 | — | 3 | 1 | no | — |
| 88 | #152512 | — | 3 | 1 | no | — |
| 89 | #152453 | — | 3 | 1 | no | — |
| 90 | #152453 | — | 3 | 1 | no | — |
| 91 | #152426 | — | 3 | 1 | no | — |
| 92 | #152161 | — | 3 | 1 | no | — |
| 93 | #151972 | — | 3 | 1 | no | — |
| 94 | #151972 | — | 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×#7389 | — | 3 | 1 | no | — |
| 108 | C2×#7389 | — | 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 | #140751 | — | 3 | 1 | no | — |
| 114 | #140354 | — | 3 | 1 | no | — |
| 115 | #140188 | — | 6 | 1 | no | — |
| 116 | #137612 | — | 6 | 1 | no | — |
| 117 | #134657 | — | 3 | 1 | no | — |
| 118 | #129165 | — | 3 | 1 | no | — |
| 119 | #128688 | — | 6 | 1 | no | — |
| 120 | #94059 | — | 3 | 1 | no | — |
| 121 | #94059 | — | 3 | 1 | no | — |
| 122 | #94030 | — | 3 | 1 | no | — |
| 123 | #94030 | — | 3 | 1 | no | — |
| 124 | #93997 | — | 3 | 1 | no | — |
| 125 | #93997 | — | 3 | 1 | no | — |
| 126 | A4×#135 | — | 2 | 1 | no | — |
| 127 | A4×#131 | — | 4 | 1 | no | — |
| 128 | C2×#5402 | — | 2 | 1 | no | — |
| 129 | C2×C8×S4 | — | 8 | 1 | no | — |
| 130 | C4×C4⋊S4 | — | 4 | 1 | no | — |
| 131 | A4×Q32 | C2×C8 | 1 | 1 | yes | characteristic, complemented |
| 132 | A4×SD32 | — | 2 | 1 | no | — |
| 133 | A4×D16 | C2×C8 | 1 | 1 | yes | characteristic, complemented |
| 134 | A4×M32 | — | 4 | 1 | no | — |
| 135 | A4×M32 | — | 8 | 1 | no | — |
| 136 | C2×A4×C16 | — | 2 | 1 | no | — |
| 137 | C2×A4×C16 | — | 8 | 1 | no | — |
| 138 | C2×A4×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 139 | C2×A4×C16 | #41 | 1 | 1 | yes | characteristic |
| 140 | A4×#108 | — | 2 | 1 | no | — |
| 141 | A4×#104 | — | 4 | 1 | no | — |
| 142 | C4×C8×A4 | — | 2 | 1 | no | — |
| 143 | C4×C8×A4 | C2×D4 | 1 | 1 | yes | characteristic |
| 144 | #73113 | — | 4 | 1 | no | — |
| 145 | (C2×S4)⋊C8 | — | 8 | 1 | no | — |
| 146 | #73111 | — | 2 | 1 | no | — |
| 147 | C4⋊(A4⋊C8) | — | 4 | 1 | no | — |
| 148 | #73035 | — | 2 | 1 | no | — |
| 149 | #73035 | C2×C8 | 1 | 2 | yes | — |
| 150 | C3×#2179 | — | 4 | 1 | no | — |
| 151 | C3×#2171 | — | 8 | 1 | no | — |
| 152 | #71509 | — | 4 | 1 | no | — |
| 153 | #69078 | — | 4 | 1 | no | — |
| 154 | #68077 | — | 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×#1369 | — | 4 | 1 | no | — |
| 159 | C3×#1336 | — | 8 | 1 | no | — |
| 160 | C3×#1313 | — | 4 | 1 | no | — |
| 161 | #67828 | — | 4 | 1 | no | — |
| 162 | #67583 | — | 4 | 1 | no | — |
| 163 | #67582 | — | 4 | 1 | no | — |
| 164 | #67519 | — | 4 | 1 | no | — |
| 165 | #67519 | — | 4 | 1 | no | — |
| 166 | #67516 | — | 8 | 1 | no | — |
| 167 | #67513 | — | 4 | 1 | no | — |
| 168 | C22×#508 | C4×D3 | 1 | 1 | yes | characteristic |
| 169 | C22×#504 | — | 4 | 1 | no | — |
| 170 | C22×#443 | — | 2 | 1 | no | — |
| 171 | C2×#2263 | — | 3 | 1 | no | — |
| 172 | C2×#2263 | — | 3 | 1 | no | — |
| 173 | C2×#2215 | — | 3 | 1 | no | — |
| 174 | C2×#2179 | — | 3 | 1 | no | — |
| 175 | C2×#2179 | — | 3 | 1 | no | — |
| 176 | C2×#2179 | — | 3 | 1 | no | — |
| 177 | C2×#2179 | — | 3 | 1 | no | — |
| 178 | C2×#2179 | — | 6 | 1 | no | — |
| 179 | C2×#2179 | — | 6 | 1 | no | — |
| 180 | C2×#2177 | — | 3 | 1 | no | — |
| 181 | C2×#2171 | — | 6 | 1 | no | — |
| 182 | C2×#2171 | — | 6 | 1 | no | — |
| 183 | C2×#2171 | — | 6 | 1 | no | — |
| 184 | C2×#2171 | — | 6 | 1 | no | — |
| 185 | C2×#2171 | — | 12 | 1 | no | — |
| 186 | C2×#2171 | — | 12 | 1 | no | — |
| 187 | C22×#368 | C4×D3 | 1 | 1 | yes | characteristic |
| 188 | C22×#364 | — | 2 | 1 | no | — |
| 189 | C22×#359 | — | 2 | 1 | no | — |
| 190 | C22×#350 | — | 4 | 1 | no | — |
| 191 | C22×#346 | #67 | 1 | 1 | yes | characteristic |
| 192 | C22×#346 | C22×D3 | 1 | 1 | yes | characteristic |
| 193 | C4×#466 | — | 6 | 1 | no | — |
| 194 | C8×#121 | — | 12 | 1 | no | — |
| 195 | C2×#1580 | — | 6 | 1 | no | — |
| 196 | C22×#322 | #67 | 1 | 1 | yes | characteristic |
| 197 | #13663 | — | 3 | 2 | no | — |
| 198 | #13663 | — | 3 | 2 | no | — |
| 199 | #13662 | — | 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×#1418 | — | 3 | 1 | no | — |
| 212 | C2×#1418 | — | 3 | 1 | no | — |
| 213 | C2×#1418 | — | 3 | 1 | no | — |
| 214 | C2×#1418 | — | 3 | 1 | no | — |
| 215 | #13616 | — | 3 | 1 | no | — |
| 216 | #13616 | — | 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 | #13239 | — | 3 | 1 | no | — |
| 225 | #13168 | — | 3 | 1 | no | — |
| 226 | #13149 | — | 6 | 1 | no | — |
| 227 | #13059 | — | 6 | 1 | no | — |
| 228 | #12835 | — | 3 | 1 | no | — |
| 229 | #12674 | — | 3 | 1 | no | — |
| 230 | #12637 | — | 6 | 1 | no | — |
| 231 | #12068 | — | 3 | 2 | no | — |
| 232 | #12068 | — | 3 | 2 | no | — |
| 233 | #12068 | — | 3 | 1 | no | — |
| 234 | #12068 | — | 3 | 1 | no | — |
| 235 | #12068 | — | 3 | 1 | no | — |
| 236 | #12068 | — | 6 | 1 | no | — |
| 237 | #12068 | — | 6 | 1 | no | — |
| 238 | #12068 | — | 6 | 1 | no | — |
| 239 | #12068 | — | 6 | 2 | no | — |
| 240 | #12068 | — | 6 | 2 | no | — |
| 241 | #12068 | S4 | 1 | 1 | yes | characteristic, complemented |
| 242 | #12067 | — | 6 | 1 | no | — |
| 243 | #12067 | — | 6 | 1 | no | — |
| 244 | #12067 | — | 6 | 1 | no | — |
| 245 | #12067 | — | 6 | 1 | no | — |
| 246 | C2×#1369 | — | 3 | 1 | no | — |
| 247 | C2×#1369 | — | 3 | 1 | no | — |
| 248 | C2×#1369 | — | 6 | 1 | no | — |
| 249 | C2×#1368 | — | 3 | 1 | no | — |
| 250 | C2×#1368 | — | 3 | 1 | no | — |
| 251 | C2×#1336 | — | 6 | 1 | no | — |
| 252 | C2×#1336 | — | 6 | 1 | no | — |
| 253 | C2×#1336 | — | 6 | 1 | no | — |
| 254 | C2×#1336 | — | 6 | 1 | no | — |
| 255 | C2×#1333 | — | 6 | 1 | no | — |
| 256 | C2×#1333 | — | 6 | 1 | no | — |
| 257 | C2×#1313 | — | 3 | 1 | no | — |
| 258 | C2×#1313 | — | 3 | 1 | no | — |
| 259 | C2×#1313 | — | 3 | 1 | no | — |
| 260 | C2×#1313 | — | 3 | 1 | no | — |
| 261 | #9659 | — | 6 | 1 | no | — |
| 262 | #9595 | — | 6 | 1 | no | — |
| 263 | #9556 | — | 12 | 1 | no | — |
| 264 | #9072 | — | 12 | 1 | no | — |
| 265 | #8595 | — | 6 | 1 | no | — |
| 266 | #8284 | — | 6 | 1 | no | — |
| 267 | #8200 | — | 12 | 1 | no | — |
| 268 | #7478 | — | 3 | 1 | no | — |
| 269 | #7478 | — | 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 | #7389 | — | 6 | 2 | no | — |
| 282 | #7389 | — | 6 | 1 | no | — |
| 283 | #7389 | — | 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 | #7178 | — | 6 | 1 | no | — |
| 292 | #7178 | — | 6 | 1 | no | — |
| 293 | #7156 | — | 6 | 1 | no | — |
| 294 | A4×#41 | — | 4 | 1 | no | — |
| 295 | C2×C4⋊S4 | — | 4 | 1 | no | — |
| 296 | C2×C4×S4 | — | 8 | 1 | no | — |
| 297 | A4×Q16 | — | 2 | 1 | no | — |
| 298 | A4×SD16 | — | 4 | 1 | no | — |
| 299 | A4×D8 | — | 2 | 1 | no | — |
| 300 | A4×M16 | — | 4 | 1 | no | — |
| 301 | A4×M16 | — | 8 | 1 | no | — |
| 302 | C2×C8×A4 | — | 4 | 1 | no | — |
| 303 | C2×C8×A4 | — | 8 | 1 | no | — |
| 304 | C2×C8×A4 | C4×D4 | 1 | 1 | yes | characteristic |
| 305 | C2×C8×A4 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 306 | C42×A4 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 307 | (C2×S4)⋊C4 | — | 8 | 1 | no | — |
| 308 | C4⋊SL(2,ℤ/4) | — | 4 | 1 | no | — |
| 309 | C2×A4⋊C8 | — | 8 | 1 | no | — |
| 310 | #5402 | — | 2 | 2 | no | — |
| 311 | #5402 | — | 4 | 1 | no | — |
| 312 | C8×S4 | — | 16 | 2 | no | — |
| 313 | C3×#508 | — | 4 | 1 | no | — |
| 314 | C3×#504 | — | 16 | 1 | no | — |
| 315 | C3×#443 | — | 8 | 1 | no | — |
| 316 | C2×D48 | — | 4 | 1 | no | — |
| 317 | C4×D24 | — | 8 | 1 | no | — |
| 318 | C8×D12 | — | 16 | 1 | no | — |
| 319 | A4×C16 | — | 2 | 1 | no | — |
| 320 | A4×C16 | — | 4 | 1 | no | — |
| 321 | A4×C16 | — | 8 | 1 | no | — |
| 322 | A4×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 323 | A4×C16 | #131 | 1 | 1 | yes | characteristic |
| 324 | C3×#368 | — | 4 | 1 | no | — |
| 325 | C3×#364 | — | 8 | 1 | no | — |
| 326 | C3×#359 | — | 8 | 1 | no | — |
| 327 | C3×#350 | — | 16 | 1 | no | — |
| 328 | C3×#346 | — | 4 | 1 | no | — |
| 329 | C3×#346 | — | 4 | 1 | no | — |
| 330 | C3×#322 | — | 4 | 1 | no | — |
| 331 | #4521 | — | 4 | 2 | no | — |
| 332 | #4519 | — | 4 | 2 | no | — |
| 333 | #4509 | — | 8 | 1 | no | — |
| 334 | #4505 | — | 4 | 1 | no | — |
| 335 | #4499 | — | 4 | 1 | no | — |
| 336 | #4499 | — | 4 | 1 | no | — |
| 337 | #4499 | — | 8 | 1 | no | — |
| 338 | #4459 | — | 16 | 1 | no | — |
| 339 | #4457 | — | 8 | 1 | no | — |
| 340 | C22×#135 | — | 2 | 1 | no | — |
| 341 | C22×#131 | — | 4 | 1 | no | — |
| 342 | C2×#508 | — | 3 | 1 | no | — |
| 343 | C2×#508 | — | 3 | 1 | no | — |
| 344 | C2×#508 | — | 3 | 1 | no | — |
| 345 | C2×#508 | — | 3 | 1 | no | — |
| 346 | C2×#508 | — | 6 | 1 | no | — |
| 347 | C2×#508 | — | 6 | 1 | no | — |
| 348 | C22×Q32 | D3×C8 | 1 | 1 | yes | characteristic, complemented |
| 349 | C22×SD32 | — | 2 | 1 | no | — |
| 350 | C22×D16 | — | 3 | 1 | no | — |
| 351 | C22×D16 | D3×C8 | 1 | 1 | yes | characteristic, complemented |
| 352 | C2×#504 | — | 12 | 1 | no | — |
| 353 | C2×#504 | — | 12 | 1 | no | — |
| 354 | C2×#504 | — | 12 | 1 | no | — |
| 355 | C2×#504 | — | 12 | 1 | no | — |
| 356 | C2×#504 | — | 24 | 1 | no | — |
| 357 | C2×#504 | — | 24 | 1 | no | — |
| 358 | C22×M32 | — | 4 | 1 | no | — |
| 359 | C22×M32 | — | 8 | 1 | no | — |
| 360 | C23×C16 | — | 2 | 1 | no | — |
| 361 | C23×C16 | — | 8 | 1 | no | — |
| 362 | C23×C16 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 363 | C23×C16 | #235 | 1 | 1 | yes | characteristic |
| 364 | C2×#466 | — | 6 | 1 | no | — |
| 365 | C2×#443 | — | 6 | 1 | no | — |
| 366 | C2×#443 | — | 6 | 1 | no | — |
| 367 | C2×#443 | — | 6 | 1 | no | — |
| 368 | C2×#443 | — | 6 | 1 | no | — |
| 369 | C2×#443 | — | 12 | 1 | no | — |
| 370 | C2×#443 | — | 12 | 1 | no | — |
| 371 | C2×C4×D8 | — | 6 | 1 | no | — |
| 372 | C2×C8×D4 | — | 12 | 1 | no | — |
| 373 | C2×C8×D4 | — | 24 | 1 | no | — |
| 374 | C22×#108 | — | 2 | 1 | no | — |
| 375 | C22×#104 | — | 4 | 1 | no | — |
| 376 | C22×C4×C8 | — | 2 | 1 | no | — |
| 377 | C22×C4×C8 | C2×#67 | 1 | 1 | yes | characteristic |
| 378 | C4×#121 | — | 12 | 1 | no | — |
| 379 | #2263 | — | 6 | 2 | no | — |
| 380 | #2263 | — | 6 | 1 | no | — |
| 381 | #2263 | — | 6 | 2 | no | — |
| 382 | #2263 | — | 6 | 1 | no | — |
| 383 | #2263 | — | 6 | 1 | no | — |
| 384 | #2263 | — | 6 | 1 | no | — |
| 385 | C2×SD64 | — | 3 | 2 | no | — |
| 386 | C2×SD64 | — | 3 | 2 | no | — |
| 387 | C2×D32 | — | 3 | 2 | no | — |
| 388 | C2×D32 | — | 3 | 2 | no | — |
| 389 | C2×M64 | — | 3 | 1 | no | — |
| 390 | C2×M64 | — | 3 | 1 | no | — |
| 391 | C2×M64 | — | 3 | 1 | no | — |
| 392 | C2×M64 | — | 3 | 1 | no | — |
| 393 | C2×M64 | — | 6 | 1 | no | — |
| 394 | C2×M64 | — | 6 | 1 | no | — |
| 395 | #2215 | — | 3 | 2 | no | — |
| 396 | #2215 | — | 3 | 2 | no | — |
| 397 | #2215 | — | 6 | 1 | no | — |
| 398 | #2215 | — | 6 | 1 | no | — |
| 399 | #2179 | — | 3 | 2 | no | — |
| 400 | #2179 | — | 3 | 2 | no | — |
| 401 | #2179 | — | 3 | 1 | no | — |
| 402 | #2179 | — | 3 | 1 | no | — |
| 403 | #2179 | — | 3 | 1 | no | — |
| 404 | #2179 | — | 6 | 1 | no | — |
| 405 | #2179 | — | 6 | 1 | no | — |
| 406 | #2179 | — | 6 | 1 | no | — |
| 407 | #2179 | — | 6 | 2 | no | — |
| 408 | #2179 | — | 6 | 2 | no | — |
| 409 | #2179 | C2×S4 | 1 | 1 | yes | characteristic |
| 410 | #2177 | — | 6 | 1 | no | — |
| 411 | #2177 | — | 6 | 1 | no | — |
| 412 | #2177 | — | 6 | 1 | no | — |
| 413 | #2177 | — | 6 | 1 | no | — |
| 414 | #2171 | — | 2 | 1 | no | — |
| 415 | #2171 | — | 6 | 1 | no | — |
| 416 | #2171 | — | 6 | 1 | no | — |
| 417 | #2171 | — | 6 | 2 | no | — |
| 418 | #2171 | — | 6 | 1 | no | — |
| 419 | #2171 | — | 12 | 2 | no | — |
| 420 | #2171 | — | 12 | 2 | no | — |
| 421 | #2171 | — | 12 | 1 | no | — |
| 422 | #2171 | — | 12 | 1 | no | — |
| 423 | #2171 | — | 12 | 1 | no | — |
| 424 | #2171 | — | 12 | 1 | no | — |
| 425 | C2×#368 | — | 3 | 1 | no | — |
| 426 | C2×#368 | — | 3 | 1 | no | — |
| 427 | C2×#368 | — | 6 | 1 | no | — |
| 428 | C2×#367 | — | 3 | 1 | no | — |
| 429 | C2×#367 | — | 3 | 1 | no | — |
| 430 | C2×#366 | — | 3 | 1 | no | — |
| 431 | C2×#364 | — | 6 | 1 | no | — |
| 432 | C2×#364 | — | 6 | 1 | no | — |
| 433 | C2×#364 | — | 12 | 1 | no | — |
| 434 | C2×#359 | — | 6 | 1 | no | — |
| 435 | C2×#359 | — | 6 | 1 | no | — |
| 436 | C2×#359 | — | 6 | 1 | no | — |
| 437 | C2×#359 | — | 6 | 1 | no | — |
| 438 | C2×#357 | — | 6 | 1 | no | — |
| 439 | C2×#357 | — | 6 | 1 | no | — |
| 440 | C2×#357 | — | 6 | 1 | no | — |
| 441 | C2×#350 | — | 12 | 1 | no | — |
| 442 | C2×#350 | — | 12 | 1 | no | — |
| 443 | C2×#350 | — | 12 | 1 | no | — |
| 444 | C2×#350 | — | 12 | 1 | no | — |
| 445 | C2×#346 | — | 3 | 1 | no | — |
| 446 | C2×#346 | — | 3 | 1 | no | — |
| 447 | C2×#346 | — | 3 | 1 | no | — |
| 448 | C2×#346 | — | 3 | 1 | no | — |
| 449 | C2×#346 | — | 3 | 1 | no | — |
| 450 | C2×#346 | — | 3 | 1 | no | — |
| 451 | C2×#346 | — | 6 | 1 | no | — |
| 452 | #1970 | — | 6 | 1 | no | — |
| 453 | #1954 | — | 12 | 1 | no | — |
| 454 | #1942 | — | 6 | 1 | no | — |
| 455 | #1939 | — | 12 | 1 | no | — |
| 456 | #1934 | — | 12 | 1 | no | — |
| 457 | #1923 | — | 24 | 1 | no | — |
| 458 | #1893 | — | 12 | 1 | no | — |
| 459 | #1869 | — | 24 | 1 | no | — |
| 460 | #1808 | — | 6 | 1 | no | — |
| 461 | #1797 | — | 12 | 1 | no | — |
| 462 | C4×#107 | — | 6 | 1 | no | — |
| 463 | C8×C4⋊C4 | — | 12 | 1 | no | — |
| 464 | C4×#102 | — | 12 | 1 | no | — |
| 465 | C8×C22⋊C4 | — | 24 | 1 | no | — |
| 466 | #1580 | — | 12 | 1 | no | — |
| 467 | #1580 | — | 12 | 1 | no | — |
| 468 | #1580 | — | 12 | 1 | no | — |
| 469 | #1580 | — | 12 | 1 | no | — |
| 470 | C2×#334 | — | 6 | 1 | no | — |
| 471 | C2×#334 | — | 6 | 1 | no | — |
| 472 | C2×D4⋊C8 | — | 12 | 1 | no | — |
| 473 | C2×D4⋊C8 | — | 12 | 1 | no | — |
| 474 | C2×#322 | — | 3 | 1 | no | — |
| 475 | C2×#322 | — | 3 | 1 | no | — |
| 476 | C2×#322 | — | 6 | 1 | no | — |
| 477 | #1426 | — | 6 | 2 | no | — |
| 478 | #1426 | — | 6 | 1 | no | — |
| 479 | #1426 | — | 6 | 1 | no | — |
| 480 | #1419 | — | 6 | 2 | no | — |
| 481 | #1419 | — | 6 | 1 | no | — |
| 482 | #1419 | — | 6 | 1 | no | — |
| 483 | #1418 | — | 6 | 2 | no | — |
| 484 | #1418 | — | 6 | 1 | no | — |
| 485 | #1418 | — | 6 | 1 | no | — |
| 486 | #1418 | — | 6 | 2 | no | — |
| 487 | #1418 | — | 6 | 1 | no | — |
| 488 | #1418 | — | 6 | 1 | no | — |
| 489 | #1416 | — | 3 | 2 | no | — |
| 490 | #1416 | — | 3 | 2 | no | — |
| 491 | #1415 | — | 3 | 2 | no | — |
| 492 | #1415 | — | 3 | 2 | no | — |
| 493 | C22⋊C32 | — | 3 | 2 | no | — |
| 494 | C22⋊C32 | — | 3 | 2 | no | — |
| 495 | C22⋊C32 | — | 6 | 1 | no | — |
| 496 | C22⋊C32 | — | 6 | 1 | no | — |
| 497 | C22⋊C32 | — | 12 | 1 | no | — |
| 498 | C22⋊C32 | — | 12 | 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 | #1398 | — | 6 | 1 | no | — |
| 506 | #1398 | — | 6 | 1 | no | — |
| 507 | #1380 | — | 6 | 1 | no | — |
| 508 | #1380 | — | 6 | 1 | no | — |
| 509 | #1380 | — | 6 | 1 | no | — |
| 510 | #1369 | — | 3 | 2 | no | — |
| 511 | #1369 | — | 3 | 1 | no | — |
| 512 | #1369 | — | 6 | 1 | no | — |
| 513 | #1369 | C2×S4 | 1 | 1 | yes | characteristic |
| 514 | #1368 | — | 6 | 1 | no | — |
| 515 | #1368 | — | 6 | 1 | no | — |
| 516 | #1368 | — | 6 | 1 | no | — |
| 517 | #1368 | — | 6 | 1 | no | — |
| 518 | #1336 | — | 2 | 1 | no | — |
| 519 | #1336 | — | 6 | 1 | no | — |
| 520 | #1336 | — | 6 | 1 | no | — |
| 521 | #1336 | — | 6 | 2 | no | — |
| 522 | #1336 | — | 6 | 1 | no | — |
| 523 | #1333 | — | 12 | 1 | no | — |
| 524 | #1333 | — | 12 | 2 | no | — |
| 525 | #1333 | — | 12 | 1 | no | — |
| 526 | #1313 | — | 3 | 1 | no | — |
| 527 | #1313 | — | 3 | 1 | no | — |
| 528 | #1313 | — | 3 | 1 | no | — |
| 529 | #1313 | — | 6 | 1 | no | — |
| 530 | #1313 | C2×S4 | 1 | 1 | yes | characteristic |
| 531 | #1279 | — | 12 | 1 | no | — |
| 532 | #1279 | — | 12 | 1 | no | — |
| 533 | #1277 | — | 12 | 1 | no | — |
| 534 | C22×S4 | — | 8 | 1 | no | — |
| 535 | Q8×A4 | — | 4 | 1 | no | — |
| 536 | D4×A4 | — | 4 | 1 | no | — |
| 537 | D4×A4 | — | 8 | 1 | no | — |
| 538 | C2×C4×A4 | — | 2 | 1 | no | — |
| 539 | C2×C4×A4 | — | 8 | 1 | no | — |
| 540 | C2×C4×A4 | #442 | 1 | 1 | yes | characteristic |
| 541 | C2×SL(2,ℤ/4) | — | 8 | 1 | no | — |
| 542 | C4⋊S4 | — | 4 | 2 | no | — |
| 543 | C4⋊S4 | — | 8 | 1 | no | — |
| 544 | C4×S4 | — | 16 | 1 | no | — |
| 545 | C4×S4 | — | 16 | 1 | no | — |
| 546 | C3×#135 | — | 8 | 1 | no | — |
| 547 | C3×#131 | — | 16 | 1 | no | — |
| 548 | C2×D24 | — | 8 | 1 | no | — |
| 549 | C2×D3×C8 | — | 32 | 1 | no | — |
| 550 | C4×D12 | — | 16 | 1 | no | — |
| 551 | C8×A4 | — | 2 | 1 | no | — |
| 552 | C8×A4 | — | 8 | 1 | no | — |
| 553 | C8×A4 | — | 8 | 1 | no | — |
| 554 | C8×A4 | C8×D4 | 1 | 1 | yes | characteristic |
| 555 | C8×A4 | #444 | 1 | 1 | yes | characteristic |
| 556 | A4⋊C8 | — | 16 | 1 | no | — |
| 557 | C3×Q32 | — | 4 | 1 | no | — |
| 558 | C3×SD32 | — | 8 | 1 | no | — |
| 559 | C3×D16 | — | 4 | 1 | no | — |
| 560 | C3×M32 | — | 16 | 1 | no | — |
| 561 | C3×M32 | — | 32 | 1 | no | — |
| 562 | C2×C3×C16 | — | 4 | 1 | no | — |
| 563 | C2×C3×C16 | — | 4 | 1 | no | — |
| 564 | C2×C3×C16 | — | 8 | 1 | no | — |
| 565 | C2×C3×C16 | — | 32 | 1 | no | — |
| 566 | C3×#108 | — | 8 | 1 | no | — |
| 567 | C3×#104 | — | 16 | 1 | no | — |
| 568 | C3×C4×C8 | — | 4 | 1 | no | — |
| 569 | C3×C4×C8 | — | 8 | 1 | no | — |
| 570 | #821 | — | 16 | 1 | no | — |
| 571 | (C2×D3)⋊C8 | — | 32 | 1 | no | — |
| 572 | #818 | — | 8 | 1 | no | — |
| 573 | C4⋊(C3⋊C8) | — | 16 | 1 | no | — |
| 574 | D48 | — | 4 | 2 | no | — |
| 575 | D48 | — | 8 | 1 | no | — |
| 576 | C3⋊C32 | — | 4 | 2 | no | — |
| 577 | C3⋊C32 | — | 8 | 1 | no | — |
| 578 | C3⋊C32 | — | 16 | 1 | no | — |
| 579 | C22×#41 | — | 4 | 1 | no | — |
| 580 | C2×#135 | — | 6 | 1 | no | — |
| 581 | C2×#135 | — | 6 | 1 | no | — |
| 582 | C2×#135 | — | 6 | 1 | no | — |
| 583 | C2×#135 | — | 6 | 1 | no | — |
| 584 | C2×#135 | — | 12 | 1 | no | — |
| 585 | C2×#135 | — | 12 | 1 | no | — |
| 586 | C22×Q16 | — | 2 | 1 | no | — |
| 587 | C22×SD16 | — | 4 | 1 | no | — |
| 588 | C22×D8 | — | 2 | 1 | no | — |
| 589 | C22×D8 | — | 6 | 1 | no | — |
| 590 | C2×#131 | — | 12 | 1 | no | — |
| 591 | C2×#131 | — | 12 | 1 | no | — |
| 592 | C2×#131 | — | 12 | 1 | no | — |
| 593 | C2×#131 | — | 12 | 1 | no | — |
| 594 | C2×#131 | — | 24 | 1 | no | — |
| 595 | C2×#131 | — | 24 | 1 | no | — |
| 596 | C22×M16 | — | 4 | 1 | no | — |
| 597 | C22×M16 | — | 8 | 1 | no | — |
| 598 | C23×C8 | — | 4 | 1 | no | — |
| 599 | C23×C8 | — | 8 | 1 | no | — |
| 600 | C23×C8 | — | 24 | 1 | no | — |
| 601 | C23×C8 | C4×#67 | 1 | 1 | yes | characteristic |
| 602 | C23×C8 | #932 | 1 | 1 | yes | characteristic |
| 603 | C2×#121 | — | 12 | 1 | no | — |
| 604 | C2×C4×D4 | — | 12 | 1 | no | — |
| 605 | C2×C4×D4 | — | 24 | 1 | no | — |
| 606 | C22×C42 | #949 | 1 | 1 | yes | characteristic |
| 607 | #508 | — | 3 | 2 | no | — |
| 608 | #508 | — | 3 | 2 | no | — |
| 609 | #508 | — | 3 | 1 | no | — |
| 610 | #508 | — | 3 | 1 | no | — |
| 611 | #508 | — | 3 | 1 | no | — |
| 612 | #508 | — | 6 | 1 | no | — |
| 613 | #508 | — | 6 | 1 | no | — |
| 614 | #508 | — | 6 | 1 | no | — |
| 615 | #508 | — | 6 | 2 | no | — |
| 616 | #508 | — | 6 | 2 | no | — |
| 617 | #508 | C4×S4 | 1 | 1 | yes | characteristic |
| 618 | C2×Q32 | — | 3 | 1 | no | — |
| 619 | C2×Q32 | — | 3 | 1 | no | — |
| 620 | C2×Q32 | — | 6 | 1 | no | — |
| 621 | C2×SD32 | — | 6 | 1 | no | — |
| 622 | C2×SD32 | — | 6 | 1 | no | — |
| 623 | C2×SD32 | — | 6 | 1 | no | — |
| 624 | C2×SD32 | — | 6 | 1 | no | — |
| 625 | C2×D16 | — | 3 | 1 | no | — |
| 626 | C2×D16 | — | 3 | 1 | no | — |
| 627 | C2×D16 | — | 3 | 2 | no | — |
| 628 | C2×D16 | — | 6 | 1 | no | — |
| 629 | C2×D16 | — | 6 | 1 | no | — |
| 630 | C2×D16 | — | 6 | 1 | no | — |
| 631 | C2×D16 | — | 6 | 1 | no | — |
| 632 | C2×D16 | — | 6 | 1 | no | — |
| 633 | C2×D16 | — | 6 | 1 | no | — |
| 634 | #504 | — | 4 | 1 | no | — |
| 635 | #504 | — | 12 | 1 | no | — |
| 636 | #504 | — | 12 | 1 | no | — |
| 637 | #504 | — | 12 | 1 | no | — |
| 638 | #504 | — | 12 | 2 | no | — |
| 639 | #504 | — | 24 | 1 | no | — |
| 640 | #504 | — | 24 | 1 | no | — |
| 641 | #504 | — | 24 | 2 | no | — |
| 642 | #504 | — | 24 | 2 | no | — |
| 643 | #504 | — | 24 | 1 | no | — |
| 644 | #504 | — | 24 | 1 | no | — |
| 645 | C2×M32 | — | 12 | 1 | no | — |
| 646 | C2×M32 | — | 12 | 1 | no | — |
| 647 | C2×M32 | — | 24 | 1 | no | — |
| 648 | C2×M32 | — | 24 | 1 | no | — |
| 649 | C2×M32 | — | 24 | 1 | no | — |
| 650 | C2×M32 | — | 24 | 1 | no | — |
| 651 | C2×M32 | — | 24 | 1 | no | — |
| 652 | C22×C16 | — | 2 | 1 | no | — |
| 653 | C22×C16 | — | 3 | 1 | no | — |
| 654 | C22×C16 | — | 3 | 1 | no | — |
| 655 | C22×C16 | — | 3 | 1 | no | — |
| 656 | C22×C16 | — | 3 | 1 | no | — |
| 657 | C22×C16 | — | 3 | 1 | no | — |
| 658 | C22×C16 | — | 3 | 1 | no | — |
| 659 | C22×C16 | — | 4 | 1 | no | — |
| 660 | C22×C16 | — | 6 | 1 | no | — |
| 661 | C22×C16 | — | 6 | 1 | no | — |
| 662 | C22×C16 | — | 6 | 1 | no | — |
| 663 | C22×C16 | — | 8 | 1 | no | — |
| 664 | C22×C16 | — | 12 | 1 | no | — |
| 665 | C22×C16 | — | 24 | 1 | no | — |
| 666 | C22×C16 | — | 24 | 1 | no | — |
| 667 | C22×C16 | — | 24 | 1 | no | — |
| 668 | C22×C16 | — | 24 | 1 | no | — |
| 669 | C22×C16 | C2×D3×C8 | 1 | 1 | yes | characteristic |
| 670 | C22×C16 | #901 | 1 | 1 | yes | characteristic |
| 671 | #466 | — | 6 | 2 | no | — |
| 672 | #466 | — | 6 | 2 | no | — |
| 673 | #466 | — | 12 | 1 | no | — |
| 674 | #466 | — | 12 | 1 | no | — |
| 675 | #443 | — | 2 | 1 | no | — |
| 676 | #443 | — | 6 | 1 | no | — |
| 677 | #443 | — | 6 | 1 | no | — |
| 678 | #443 | — | 6 | 2 | no | — |
| 679 | #443 | — | 6 | 1 | no | — |
| 680 | #443 | — | 12 | 1 | no | — |
| 681 | #443 | — | 12 | 1 | no | — |
| 682 | #443 | — | 12 | 1 | no | — |
| 683 | #443 | — | 12 | 1 | no | — |
| 684 | #443 | — | 12 | 2 | no | — |
| 685 | #443 | — | 12 | 2 | no | — |
| 686 | C4×D8 | — | 12 | 1 | no | — |
| 687 | C4×D8 | — | 12 | 1 | no | — |
| 688 | C4×D8 | — | 12 | 1 | no | — |
| 689 | C4×D8 | — | 12 | 1 | no | — |
| 690 | C8×D4 | — | 24 | 1 | no | — |
| 691 | C8×D4 | — | 24 | 1 | no | — |
| 692 | C8×D4 | — | 24 | 1 | no | — |
| 693 | C8×D4 | — | 24 | 1 | no | — |
| 694 | C8×D4 | — | 48 | 2 | no | — |
| 695 | C8×D4 | — | 48 | 2 | no | — |
| 696 | C2×#108 | — | 6 | 1 | no | — |
| 697 | C2×#108 | — | 6 | 1 | no | — |
| 698 | C2×#108 | — | 12 | 1 | no | — |
| 699 | C2×#107 | — | 6 | 1 | no | — |
| 700 | C2×#107 | — | 6 | 1 | no | — |
| 701 | C2×#107 | — | 6 | 1 | no | — |
| 702 | C2×C4⋊C8 | — | 12 | 1 | no | — |
| 703 | C2×C4⋊C8 | — | 12 | 1 | no | — |
| 704 | C2×C4⋊C8 | — | 24 | 1 | no | — |
| 705 | C2×#104 | — | 12 | 1 | no | — |
| 706 | C2×#104 | — | 12 | 1 | no | — |
| 707 | C2×#104 | — | 12 | 1 | no | — |
| 708 | C2×#104 | — | 12 | 1 | no | — |
| 709 | C2×#102 | — | 12 | 1 | no | — |
| 710 | C2×#102 | — | 12 | 1 | no | — |
| 711 | C2×#102 | — | 12 | 1 | no | — |
| 712 | C2×C22⋊C8 | — | 24 | 1 | no | — |
| 713 | C2×C22⋊C8 | — | 24 | 1 | no | — |
| 714 | C2×C22⋊C8 | — | 24 | 1 | no | — |
| 715 | C2×C22⋊C8 | — | 24 | 1 | no | — |
| 716 | C2×C4×C8 | — | 3 | 1 | no | — |
| 717 | C2×C4×C8 | — | 3 | 1 | no | — |
| 718 | C2×C4×C8 | — | 3 | 1 | no | — |
| 719 | C2×C4×C8 | — | 3 | 1 | no | — |
| 720 | C2×C4×C8 | — | 6 | 1 | no | — |
| 721 | C2×C4×C8 | — | 6 | 1 | no | — |
| 722 | C2×C4×C8 | — | 12 | 1 | no | — |
| 723 | C2×C4×C8 | — | 24 | 1 | no | — |
| 724 | #390 | — | 12 | 1 | no | — |
| 725 | #389 | — | 12 | 1 | no | — |
| 726 | #388 | — | 24 | 1 | no | — |
| 727 | #386 | — | 24 | 1 | no | — |
| 728 | #380 | — | 12 | 1 | no | — |
| 729 | C4×C4⋊C4 | — | 12 | 1 | no | — |
| 730 | C4×C22⋊C4 | — | 24 | 1 | no | — |
| 731 | SD64 | — | 6 | 4 | no | — |
| 732 | SD64 | — | 6 | 2 | no | — |
| 733 | SD64 | — | 6 | 2 | no | — |
| 734 | D32 | — | 6 | 4 | no | — |
| 735 | D32 | — | 6 | 2 | no | — |
| 736 | D32 | — | 6 | 2 | no | — |
| 737 | M64 | — | 6 | 1 | no | — |
| 738 | M64 | — | 6 | 1 | no | — |
| 739 | M64 | — | 6 | 1 | no | — |
| 740 | M64 | — | 6 | 1 | no | — |
| 741 | M64 | — | 6 | 1 | no | — |
| 742 | M64 | — | 6 | 1 | no | — |
| 743 | M64 | — | 6 | 1 | no | — |
| 744 | M64 | — | 6 | 1 | no | — |
| 745 | M64 | — | 12 | 1 | no | — |
| 746 | M64 | — | 12 | 1 | no | — |
| 747 | M64 | — | 12 | 1 | no | — |
| 748 | M64 | — | 12 | 1 | no | — |
| 749 | C2×C32 | — | 3 | 2 | no | — |
| 750 | C2×C32 | — | 3 | 2 | no | — |
| 751 | C2×C32 | — | 6 | 1 | no | — |
| 752 | C2×C32 | — | 6 | 1 | no | — |
| 753 | C2×C32 | — | 12 | 1 | no | — |
| 754 | C2×C32 | — | 12 | 1 | no | — |
| 755 | #368 | — | 3 | 2 | no | — |
| 756 | #368 | — | 3 | 1 | no | — |
| 757 | #368 | — | 6 | 1 | no | — |
| 758 | #368 | C4×S4 | 1 | 1 | yes | characteristic |
| 759 | #367 | — | 6 | 1 | no | — |
| 760 | #367 | — | 6 | 1 | no | — |
| 761 | #367 | — | 6 | 1 | no | — |
| 762 | #367 | — | 6 | 1 | no | — |
| 763 | #366 | — | 3 | 2 | no | — |
| 764 | #366 | — | 6 | 1 | no | — |
| 765 | #364 | — | 2 | 1 | no | — |
| 766 | #364 | — | 6 | 1 | no | — |
| 767 | #364 | — | 12 | 1 | no | — |
| 768 | #364 | — | 12 | 1 | no | — |
| 769 | #359 | — | 2 | 1 | no | — |
| 770 | #359 | — | 6 | 1 | no | — |
| 771 | #359 | — | 6 | 1 | no | — |
| 772 | #359 | — | 6 | 2 | no | — |
| 773 | #359 | — | 6 | 1 | no | — |
| 774 | #357 | — | 6 | 2 | no | — |
| 775 | #357 | — | 6 | 2 | no | — |
| 776 | #357 | — | 12 | 1 | no | — |
| 777 | #357 | — | 12 | 2 | no | — |
| 778 | #357 | — | 12 | 1 | no | — |
| 779 | #350 | — | 4 | 1 | no | — |
| 780 | #350 | — | 12 | 1 | no | — |
| 781 | #350 | — | 12 | 1 | no | — |
| 782 | #350 | — | 12 | 1 | no | — |
| 783 | #350 | — | 12 | 2 | no | — |
| 784 | #346 | — | 3 | 1 | no | — |
| 785 | #346 | — | 3 | 1 | no | — |
| 786 | #346 | — | 3 | 2 | no | — |
| 787 | #346 | — | 3 | 1 | no | — |
| 788 | #346 | — | 3 | 1 | no | — |
| 789 | #346 | — | 6 | 1 | no | — |
| 790 | #346 | — | 6 | 1 | no | — |
| 791 | #346 | GL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 792 | #346 | C22×S4 | 1 | 1 | yes | characteristic |
| 793 | #340 | — | 12 | 1 | no | — |
| 794 | #340 | — | 12 | 1 | no | — |
| 795 | #340 | — | 12 | 1 | no | — |
| 796 | #336 | — | 24 | 1 | no | — |
| 797 | #336 | — | 24 | 1 | no | — |
| 798 | #336 | — | 24 | 1 | no | — |
| 799 | #334 | — | 12 | 1 | no | — |
| 800 | #334 | — | 12 | 1 | no | — |
| 801 | #334 | — | 12 | 1 | no | — |
| 802 | #334 | — | 12 | 1 | no | — |
| 803 | D4⋊C8 | — | 24 | 1 | no | — |
| 804 | D4⋊C8 | — | 24 | 1 | no | — |
| 805 | D4⋊C8 | — | 24 | 2 | no | — |
| 806 | #322 | — | 3 | 1 | no | — |
| 807 | #322 | — | 6 | 1 | no | — |
| 808 | #322 | — | 6 | 1 | no | — |
| 809 | #322 | GL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 810 | C22×A4 | — | 8 | 1 | no | — |
| 811 | C22×A4 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 812 | C2×S4 | — | 8 | 2 | no | — |
| 813 | C2×S4 | — | 16 | 1 | no | — |
| 814 | C2×S4 | — | 16 | 1 | no | — |
| 815 | C3×#41 | — | 16 | 1 | no | — |
| 816 | C2×D12 | — | 16 | 1 | no | — |
| 817 | C2×C4×D3 | — | 32 | 1 | no | — |
| 818 | C4×A4 | — | 4 | 1 | no | — |
| 819 | C4×A4 | — | 8 | 1 | no | — |
| 820 | C4×A4 | #1580 | 1 | 1 | yes | characteristic |
| 821 | C4×A4 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 822 | SL(2,ℤ/4) | — | 16 | 1 | no | — |
| 823 | C3×Q16 | — | 8 | 1 | no | — |
| 824 | C3×SD16 | — | 16 | 1 | no | — |
| 825 | C3×D8 | — | 8 | 1 | no | — |
| 826 | C3×M16 | — | 16 | 1 | no | — |
| 827 | C3×M16 | — | 32 | 1 | no | — |
| 828 | C2×C3×C8 | — | 4 | 1 | no | — |
| 829 | C2×C3×C8 | — | 4 | 1 | no | — |
| 830 | C2×C3×C8 | — | 16 | 1 | no | — |
| 831 | C2×C3×C8 | — | 32 | 1 | no | — |
| 832 | C3×C42 | — | 4 | 1 | no | — |
| 833 | (C2×D3)⋊C4 | — | 32 | 1 | no | — |
| 834 | C4⋊Dic3 | — | 16 | 1 | no | — |
| 835 | C2×C3⋊C8 | — | 32 | 1 | no | — |
| 836 | D24 | — | 8 | 2 | no | — |
| 837 | D24 | — | 16 | 1 | no | — |
| 838 | D3×C8 | — | 64 | 2 | no | — |
| 839 | C3×C16 | — | 4 | 1 | no | — |
| 840 | C3×C16 | — | 4 | 1 | no | — |
| 841 | C3×C16 | — | 8 | 1 | no | — |
| 842 | C3×C16 | — | 16 | 1 | no | — |
| 843 | C3×C16 | — | 32 | 1 | no | — |
| 844 | C2×#41 | — | 12 | 1 | no | — |
| 845 | C2×#41 | — | 12 | 1 | no | — |
| 846 | C2×#41 | — | 12 | 1 | no | — |
| 847 | C2×#41 | — | 12 | 1 | no | — |
| 848 | C2×#41 | — | 24 | 1 | no | — |
| 849 | C2×#41 | — | 24 | 1 | no | — |
| 850 | C22×Q8 | — | 4 | 1 | no | — |
| 851 | C22×D4 | — | 4 | 1 | no | — |
| 852 | C22×D4 | — | 8 | 1 | no | — |
| 853 | C22×D4 | — | 12 | 1 | no | — |
| 854 | C22×D4 | — | 24 | 1 | no | — |
| 855 | C23×C4 | — | 2 | 1 | no | — |
| 856 | C23×C4 | — | 8 | 1 | no | — |
| 857 | C23×C4 | — | 24 | 1 | no | — |
| 858 | C23×C4 | #5014 | 1 | 1 | yes | characteristic |
| 859 | #135 | — | 2 | 1 | no | — |
| 860 | #135 | — | 6 | 1 | no | — |
| 861 | #135 | — | 6 | 1 | no | — |
| 862 | #135 | — | 6 | 2 | no | — |
| 863 | #135 | — | 6 | 1 | no | — |
| 864 | #135 | — | 12 | 1 | no | — |
| 865 | #135 | — | 12 | 1 | no | — |
| 866 | #135 | — | 12 | 1 | no | — |
| 867 | #135 | — | 12 | 1 | no | — |
| 868 | #135 | — | 12 | 2 | no | — |
| 869 | #135 | — | 12 | 2 | no | — |
| 870 | C2×Q16 | — | 6 | 1 | no | — |
| 871 | C2×Q16 | — | 6 | 1 | no | — |
| 872 | C2×Q16 | — | 12 | 1 | no | — |
| 873 | C2×SD16 | — | 12 | 1 | no | — |
| 874 | C2×SD16 | — | 12 | 1 | no | — |
| 875 | C2×SD16 | — | 12 | 1 | no | — |
| 876 | C2×SD16 | — | 12 | 1 | no | — |
| 877 | C2×D8 | — | 6 | 1 | no | — |
| 878 | C2×D8 | — | 6 | 1 | no | — |
| 879 | C2×D8 | — | 6 | 2 | no | — |
| 880 | C2×D8 | — | 12 | 1 | no | — |
| 881 | C2×D8 | — | 12 | 1 | no | — |
| 882 | C2×D8 | — | 12 | 1 | no | — |
| 883 | C2×D8 | — | 12 | 1 | no | — |
| 884 | C2×D8 | — | 12 | 1 | no | — |
| 885 | C2×D8 | — | 12 | 1 | no | — |
| 886 | #131 | — | 4 | 1 | no | — |
| 887 | #131 | — | 12 | 1 | no | — |
| 888 | #131 | — | 12 | 1 | no | — |
| 889 | #131 | — | 12 | 2 | no | — |
| 890 | #131 | — | 12 | 1 | no | — |
| 891 | #131 | — | 24 | 2 | no | — |
| 892 | #131 | — | 24 | 2 | no | — |
| 893 | #131 | — | 24 | 1 | no | — |
| 894 | #131 | — | 24 | 1 | no | — |
| 895 | #131 | — | 24 | 1 | no | — |
| 896 | #131 | — | 24 | 1 | no | — |
| 897 | C2×M16 | — | 12 | 1 | no | — |
| 898 | C2×M16 | — | 12 | 1 | no | — |
| 899 | C2×M16 | — | 24 | 1 | no | — |
| 900 | C2×M16 | — | 24 | 1 | no | — |
| 901 | C2×M16 | — | 24 | 1 | no | — |
| 902 | C2×M16 | — | 24 | 1 | no | — |
| 903 | C2×M16 | — | 24 | 1 | no | — |
| 904 | C22×C8 | — | 2 | 1 | no | — |
| 905 | C22×C8 | — | 3 | 1 | no | — |
| 906 | C22×C8 | — | 3 | 1 | no | — |
| 907 | C22×C8 | — | 3 | 1 | no | — |
| 908 | C22×C8 | — | 3 | 1 | no | — |
| 909 | C22×C8 | — | 3 | 1 | no | — |
| 910 | C22×C8 | — | 3 | 1 | no | — |
| 911 | C22×C8 | — | 6 | 1 | no | — |
| 912 | C22×C8 | — | 8 | 1 | no | — |
| 913 | C22×C8 | — | 8 | 1 | no | — |
| 914 | C22×C8 | — | 12 | 1 | no | — |
| 915 | C22×C8 | — | 12 | 1 | no | — |
| 916 | C22×C8 | — | 24 | 1 | no | — |
| 917 | C22×C8 | — | 24 | 1 | no | — |
| 918 | C22×C8 | — | 24 | 1 | no | — |
| 919 | C22×C8 | — | 24 | 1 | no | — |
| 920 | C22×C8 | — | 24 | 1 | no | — |
| 921 | C22×C8 | — | 24 | 1 | no | — |
| 922 | C22×C8 | — | 24 | 1 | no | — |
| 923 | C22×C8 | — | 48 | 1 | no | — |
| 924 | C22×C8 | — | 48 | 1 | no | — |
| 925 | C22×C8 | — | 48 | 2 | no | — |
| 926 | C22×C8 | — | 48 | 2 | no | — |
| 927 | C22×C8 | C8×#67 | 1 | 1 | yes | characteristic |
| 928 | C22×C8 | #5145 | 1 | 1 | yes | characteristic |
| 929 | #121 | — | 12 | 2 | no | — |
| 930 | #121 | — | 12 | 2 | no | — |
| 931 | #121 | — | 24 | 1 | no | — |
| 932 | #121 | — | 24 | 1 | no | — |
| 933 | C4×D4 | — | 24 | 1 | no | — |
| 934 | C4×D4 | — | 24 | 1 | no | — |
| 935 | C4×D4 | — | 24 | 1 | no | — |
| 936 | C4×D4 | — | 24 | 1 | no | — |
| 937 | C4×D4 | — | 48 | 1 | no | — |
| 938 | C4×D4 | — | 48 | 1 | no | — |
| 939 | C4×D4 | — | 48 | 1 | no | — |
| 940 | C4×D4 | — | 48 | 1 | no | — |
| 941 | C2×C4⋊C4 | — | 12 | 1 | no | — |
| 942 | C2×C4⋊C4 | — | 12 | 1 | no | — |
| 943 | C2×C4⋊C4 | — | 12 | 1 | no | — |
| 944 | C2×C4⋊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×C22⋊C4 | — | 24 | 1 | no | — |
| 949 | C2×C22⋊C4 | — | 24 | 1 | no | — |
| 950 | C2×C42 | — | 3 | 1 | no | — |
| 951 | C2×C42 | — | 3 | 1 | no | — |
| 952 | C2×C42 | — | 6 | 1 | no | — |
| 953 | C2×C42 | — | 24 | 1 | no | — |
| 954 | Q32 | — | 3 | 2 | no | — |
| 955 | Q32 | — | 3 | 1 | no | — |
| 956 | Q32 | — | 6 | 1 | no | — |
| 957 | Q32 | C8×S4 | 1 | 1 | yes | characteristic, complemented |
| 958 | SD32 | — | 2 | 1 | no | — |
| 959 | SD32 | — | 6 | 1 | no | — |
| 960 | SD32 | — | 6 | 1 | no | — |
| 961 | SD32 | — | 6 | 2 | no | — |
| 962 | SD32 | — | 6 | 1 | no | — |
| 963 | D16 | — | 3 | 2 | no | — |
| 964 | D16 | — | 3 | 1 | no | — |
| 965 | D16 | — | 6 | 1 | no | — |
| 966 | D16 | — | 6 | 2 | no | — |
| 967 | D16 | — | 6 | 2 | no | — |
| 968 | D16 | — | 12 | 1 | no | — |
| 969 | D16 | — | 12 | 1 | no | — |
| 970 | D16 | C8×S4 | 1 | 1 | yes | characteristic, complemented |
| 971 | M32 | — | 4 | 1 | no | — |
| 972 | M32 | — | 8 | 1 | no | — |
| 973 | M32 | — | 12 | 1 | no | — |
| 974 | M32 | — | 24 | 1 | no | — |
| 975 | M32 | — | 24 | 1 | no | — |
| 976 | M32 | — | 24 | 1 | no | — |
| 977 | M32 | — | 24 | 1 | no | — |
| 978 | M32 | — | 24 | 2 | no | — |
| 979 | M32 | — | 24 | 1 | no | — |
| 980 | C2×C16 | — | 2 | 1 | no | — |
| 981 | C2×C16 | — | 3 | 1 | no | — |
| 982 | C2×C16 | — | 3 | 1 | no | — |
| 983 | C2×C16 | — | 3 | 1 | no | — |
| 984 | C2×C16 | — | 3 | 1 | no | — |
| 985 | C2×C16 | — | 3 | 1 | no | — |
| 986 | C2×C16 | — | 3 | 1 | no | — |
| 987 | C2×C16 | — | 3 | 1 | no | — |
| 988 | C2×C16 | — | 3 | 1 | no | — |
| 989 | C2×C16 | — | 6 | 1 | no | — |
| 990 | C2×C16 | — | 6 | 1 | no | — |
| 991 | C2×C16 | — | 6 | 1 | no | — |
| 992 | C2×C16 | — | 6 | 1 | no | — |
| 993 | C2×C16 | — | 6 | 1 | no | — |
| 994 | C2×C16 | — | 6 | 1 | no | — |
| 995 | C2×C16 | — | 8 | 1 | no | — |
| 996 | C2×C16 | — | 12 | 1 | no | — |
| 997 | C2×C16 | — | 12 | 1 | no | — |
| 998 | C2×C16 | — | 12 | 1 | no | — |
| 999 | C2×C16 | — | 12 | 1 | no | — |
| 1000 | C2×C16 | — | 24 | 1 | no | — |
| 1001 | C2×C16 | — | 24 | 1 | no | — |
| 1002 | C2×C16 | — | 24 | 1 | no | — |
| 1003 | C2×C16 | — | 24 | 1 | no | — |
| 1004 | C2×C16 | — | 24 | 2 | no | — |
| 1005 | C2×C16 | — | 24 | 1 | no | — |
| 1006 | C2×C16 | C2×C4×S4 | 1 | 1 | yes | characteristic |
| 1007 | C2×C16 | #5912 | 1 | 1 | yes | characteristic |
| 1008 | #108 | — | 2 | 1 | no | — |
| 1009 | #108 | — | 6 | 1 | no | — |
| 1010 | #108 | — | 12 | 1 | no | — |
| 1011 | #108 | — | 12 | 1 | no | — |
| 1012 | #107 | — | 6 | 2 | no | — |
| 1013 | #107 | — | 12 | 1 | no | — |
| 1014 | #107 | — | 12 | 1 | no | — |
| 1015 | #107 | — | 12 | 1 | no | — |
| 1016 | #107 | — | 12 | 1 | no | — |
| 1017 | #107 | — | 12 | 1 | no | — |
| 1018 | C4⋊C8 | — | 24 | 1 | no | — |
| 1019 | C4⋊C8 | — | 24 | 1 | no | — |
| 1020 | C4⋊C8 | — | 24 | 1 | no | — |
| 1021 | C4⋊C8 | — | 24 | 1 | no | — |
| 1022 | C4⋊C8 | — | 48 | 2 | no | — |
| 1023 | #104 | — | 4 | 1 | no | — |
| 1024 | #104 | — | 12 | 1 | no | — |
| 1025 | #104 | — | 12 | 1 | no | — |
| 1026 | #104 | — | 12 | 2 | no | — |
| 1027 | #104 | — | 12 | 1 | no | — |
| 1028 | #102 | — | 12 | 2 | no | — |
| 1029 | #102 | — | 12 | 2 | no | — |
| 1030 | #102 | — | 24 | 2 | no | — |
| 1031 | #102 | — | 24 | 1 | no | — |
| 1032 | #102 | — | 24 | 1 | no | — |
| 1033 | C22⋊C8 | — | 48 | 1 | no | — |
| 1034 | C22⋊C8 | — | 48 | 1 | no | — |
| 1035 | C22⋊C8 | — | 48 | 2 | no | — |
| 1036 | C22⋊C8 | — | 48 | 2 | no | — |
| 1037 | C22⋊C8 | — | 48 | 1 | no | — |
| 1038 | C22⋊C8 | — | 48 | 1 | no | — |
| 1039 | C4×C8 | — | 2 | 1 | no | — |
| 1040 | C4×C8 | — | 3 | 1 | no | — |
| 1041 | C4×C8 | — | 3 | 1 | no | — |
| 1042 | C4×C8 | — | 3 | 1 | no | — |
| 1043 | C4×C8 | — | 6 | 1 | no | — |
| 1044 | C4×C8 | — | 6 | 1 | no | — |
| 1045 | C4×C8 | — | 12 | 1 | no | — |
| 1046 | C4×C8 | — | 12 | 1 | no | — |
| 1047 | C4×C8 | — | 48 | 2 | no | — |
| 1048 | C4×C8 | C2×GL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 1049 | #95 | — | 24 | 1 | no | — |
| 1050 | #95 | — | 24 | 1 | no | — |
| 1051 | #95 | — | 24 | 1 | no | — |
| 1052 | C32 | — | 6 | 2 | no | — |
| 1053 | C32 | — | 6 | 2 | no | — |
| 1054 | C32 | — | 12 | 1 | no | — |
| 1055 | C32 | — | 12 | 1 | no | — |
| 1056 | C32 | — | 24 | 1 | no | — |
| 1057 | C32 | — | 24 | 1 | no | — |
| 1058 | C22×D3 | — | 32 | 1 | no | — |
| 1059 | C2×A4 | — | 2 | 1 | no | — |
| 1060 | C2×A4 | — | 16 | 1 | no | — |
| 1061 | C2×A4 | #12067 | 1 | 1 | yes | characteristic |
| 1062 | S4 | — | 16 | 2 | no | — |
| 1063 | C3×Q8 | — | 16 | 1 | no | — |
| 1064 | C3×D4 | — | 16 | 1 | no | — |
| 1065 | C3×D4 | — | 32 | 1 | no | — |
| 1066 | C2×C3×C4 | — | 4 | 1 | no | — |
| 1067 | C2×C3×C4 | — | 8 | 1 | no | — |
| 1068 | C2×C3×C4 | — | 32 | 1 | no | — |
| 1069 | C2×Dic3 | — | 32 | 1 | no | — |
| 1070 | D12 | — | 16 | 2 | no | — |
| 1071 | D12 | — | 32 | 1 | no | — |
| 1072 | C4×D3 | — | 64 | 1 | no | — |
| 1073 | C4×D3 | — | 64 | 1 | no | — |
| 1074 | C3×C8 | — | 4 | 1 | no | — |
| 1075 | C3×C8 | — | 4 | 1 | no | — |
| 1076 | C3×C8 | — | 8 | 1 | no | — |
| 1077 | C3×C8 | — | 32 | 1 | no | — |
| 1078 | C3×C8 | — | 32 | 1 | no | — |
| 1079 | C3⋊C8 | — | 64 | 1 | no | — |
| 1080 | C24 | — | 8 | 1 | no | — |
| 1081 | C24 | — | 24 | 1 | no | — |
| 1082 | C24 | #70929 | 1 | 1 | yes | characteristic |
| 1083 | #41 | — | 4 | 1 | no | — |
| 1084 | #41 | — | 12 | 1 | no | — |
| 1085 | #41 | — | 12 | 1 | no | — |
| 1086 | #41 | — | 12 | 2 | no | — |
| 1087 | #41 | — | 12 | 1 | no | — |
| 1088 | #41 | — | 24 | 1 | no | — |
| 1089 | #41 | — | 24 | 1 | no | — |
| 1090 | #41 | — | 24 | 1 | no | — |
| 1091 | #41 | — | 24 | 1 | no | — |
| 1092 | #41 | — | 24 | 2 | no | — |
| 1093 | #41 | — | 24 | 2 | no | — |
| 1094 | C2×Q8 | — | 12 | 1 | no | — |
| 1095 | C2×Q8 | — | 12 | 1 | no | — |
| 1096 | C2×Q8 | — | 24 | 1 | no | — |
| 1097 | C2×D4 | — | 12 | 1 | no | — |
| 1098 | C2×D4 | — | 12 | 1 | no | — |
| 1099 | C2×D4 | — | 12 | 2 | no | — |
| 1100 | C2×D4 | — | 24 | 1 | no | — |
| 1101 | C2×D4 | — | 24 | 1 | no | — |
| 1102 | C2×D4 | — | 24 | 1 | no | — |
| 1103 | C2×D4 | — | 24 | 1 | no | — |
| 1104 | C2×D4 | — | 24 | 1 | no | — |
| 1105 | C2×D4 | — | 24 | 1 | no | — |
| 1106 | C2×D4 | — | 24 | 1 | no | — |
| 1107 | C2×D4 | — | 24 | 1 | no | — |
| 1108 | C2×D4 | — | 24 | 1 | no | — |
| 1109 | C2×D4 | — | 24 | 2 | no | — |
| 1110 | C2×D4 | — | 24 | 2 | no | — |
| 1111 | C2×D4 | — | 24 | 1 | no | — |
| 1112 | C2×D4 | — | 48 | 1 | no | — |
| 1113 | C2×D4 | — | 48 | 1 | no | — |
| 1114 | C2×D4 | — | 48 | 1 | no | — |
| 1115 | C2×D4 | — | 48 | 1 | no | — |
| 1116 | C22×C4 | — | 3 | 1 | no | — |
| 1117 | C22×C4 | — | 3 | 1 | no | — |
| 1118 | C22×C4 | — | 3 | 1 | no | — |
| 1119 | C22×C4 | — | 3 | 1 | no | — |
| 1120 | C22×C4 | — | 4 | 1 | no | — |
| 1121 | C22×C4 | — | 6 | 1 | no | — |
| 1122 | C22×C4 | — | 6 | 1 | no | — |
| 1123 | C22×C4 | — | 8 | 1 | no | — |
| 1124 | C22×C4 | — | 12 | 1 | no | — |
| 1125 | C22×C4 | — | 24 | 1 | no | — |
| 1126 | C22×C4 | — | 24 | 1 | no | — |
| 1127 | C22×C4 | — | 24 | 1 | no | — |
| 1128 | C22×C4 | — | 24 | 1 | no | — |
| 1129 | C22×C4 | — | 24 | 1 | no | — |
| 1130 | C22×C4 | — | 24 | 1 | no | — |
| 1131 | C22×C4 | — | 24 | 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 | #70918 | 1 | 1 | yes | characteristic |
| 1140 | Q16 | — | 2 | 1 | no | — |
| 1141 | Q16 | — | 6 | 1 | no | — |
| 1142 | Q16 | — | 12 | 1 | no | — |
| 1143 | Q16 | — | 12 | 1 | no | — |
| 1144 | SD16 | — | 4 | 1 | no | — |
| 1145 | SD16 | — | 12 | 1 | no | — |
| 1146 | SD16 | — | 12 | 1 | no | — |
| 1147 | SD16 | — | 12 | 2 | no | — |
| 1148 | SD16 | — | 12 | 1 | no | — |
| 1149 | D8 | — | 2 | 1 | no | — |
| 1150 | D8 | — | 6 | 1 | no | — |
| 1151 | D8 | — | 12 | 1 | no | — |
| 1152 | D8 | — | 12 | 1 | no | — |
| 1153 | D8 | — | 12 | 2 | no | — |
| 1154 | D8 | — | 12 | 2 | no | — |
| 1155 | D8 | — | 24 | 1 | no | — |
| 1156 | D8 | — | 24 | 1 | no | — |
| 1157 | M16 | — | 4 | 1 | no | — |
| 1158 | M16 | — | 8 | 1 | no | — |
| 1159 | M16 | — | 12 | 1 | no | — |
| 1160 | M16 | — | 24 | 1 | no | — |
| 1161 | M16 | — | 24 | 1 | no | — |
| 1162 | M16 | — | 24 | 1 | no | — |
| 1163 | M16 | — | 24 | 2 | no | — |
| 1164 | M16 | — | 24 | 1 | no | — |
| 1165 | M16 | — | 24 | 1 | no | — |
| 1166 | C2×C8 | — | 3 | 1 | no | — |
| 1167 | C2×C8 | — | 3 | 1 | no | — |
| 1168 | C2×C8 | — | 3 | 1 | no | — |
| 1169 | C2×C8 | — | 3 | 1 | no | — |
| 1170 | C2×C8 | — | 3 | 1 | no | — |
| 1171 | C2×C8 | — | 3 | 1 | no | — |
| 1172 | C2×C8 | — | 3 | 1 | no | — |
| 1173 | C2×C8 | — | 3 | 2 | no | — |
| 1174 | C2×C8 | — | 3 | 1 | no | — |
| 1175 | C2×C8 | — | 4 | 1 | no | — |
| 1176 | C2×C8 | — | 6 | 1 | no | — |
| 1177 | C2×C8 | — | 6 | 1 | no | — |
| 1178 | C2×C8 | — | 6 | 1 | no | — |
| 1179 | C2×C8 | — | 6 | 1 | no | — |
| 1180 | C2×C8 | — | 8 | 1 | no | — |
| 1181 | C2×C8 | — | 12 | 1 | no | — |
| 1182 | C2×C8 | — | 24 | 1 | no | — |
| 1183 | C2×C8 | — | 24 | 1 | no | — |
| 1184 | C2×C8 | — | 24 | 1 | no | — |
| 1185 | C2×C8 | — | 24 | 2 | no | — |
| 1186 | C2×C8 | — | 24 | 1 | no | — |
| 1187 | C2×C8 | — | 24 | 1 | no | — |
| 1188 | C2×C8 | — | 24 | 1 | no | — |
| 1189 | C2×C8 | — | 24 | 1 | no | — |
| 1190 | C2×C8 | — | 24 | 1 | no | — |
| 1191 | C2×C8 | — | 24 | 1 | no | — |
| 1192 | C2×C8 | — | 48 | 1 | no | — |
| 1193 | C2×C8 | — | 48 | 1 | no | — |
| 1194 | C2×C8 | — | 48 | 1 | no | — |
| 1195 | C2×C8 | — | 48 | 1 | no | — |
| 1196 | C2×C8 | — | 48 | 1 | no | — |
| 1197 | C2×C8 | — | 48 | 1 | no | — |
| 1198 | C2×C8 | — | 96 | 2 | no | — |
| 1199 | C2×C8 | — | 96 | 2 | no | — |
| 1200 | C2×C8 | C4×GL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 1201 | C2×C8 | #85489 | 1 | 1 | yes | characteristic |
| 1202 | C4⋊C4 | — | 12 | 2 | no | — |
| 1203 | C4⋊C4 | — | 24 | 1 | no | — |
| 1204 | C4⋊C4 | — | 24 | 1 | no | — |
| 1205 | C4⋊C4 | — | 24 | 1 | no | — |
| 1206 | C4⋊C4 | — | 24 | 1 | no | — |
| 1207 | C4⋊C4 | — | 24 | 1 | no | — |
| 1208 | C4⋊C4 | — | 48 | 1 | no | — |
| 1209 | C4⋊C4 | — | 48 | 1 | no | — |
| 1210 | C22⋊C4 | — | 24 | 2 | no | — |
| 1211 | C22⋊C4 | — | 24 | 2 | no | — |
| 1212 | C22⋊C4 | — | 48 | 1 | no | — |
| 1213 | C22⋊C4 | — | 48 | 1 | no | — |
| 1214 | C22⋊C4 | — | 48 | 2 | no | — |
| 1215 | C22⋊C4 | — | 48 | 1 | no | — |
| 1216 | C22⋊C4 | — | 48 | 1 | no | — |
| 1217 | C22⋊C4 | — | 48 | 1 | no | — |
| 1218 | C22⋊C4 | — | 48 | 1 | no | — |
| 1219 | C42 | — | 3 | 1 | no | — |
| 1220 | C42 | — | 6 | 1 | no | — |
| 1221 | C42 | — | 6 | 1 | no | — |
| 1222 | C42 | — | 48 | 1 | no | — |
| 1223 | C42 | — | 48 | 1 | no | — |
| 1224 | C42 | #85513 | 1 | 1 | yes | characteristic |
| 1225 | C16 | — | 2 | 1 | no | — |
| 1226 | C16 | — | 3 | 1 | no | — |
| 1227 | C16 | — | 3 | 1 | no | — |
| 1228 | C16 | — | 4 | 1 | no | — |
| 1229 | C16 | — | 6 | 1 | no | — |
| 1230 | C16 | — | 8 | 1 | no | — |
| 1231 | C16 | — | 12 | 1 | no | — |
| 1232 | C16 | — | 24 | 1 | no | — |
| 1233 | C16 | C2×C8×S4 | 1 | 1 | yes | characteristic |
| 1234 | C16 | #85437 | 1 | 1 | yes | characteristic |
| 1235 | C22×C3 | — | 4 | 1 | no | — |
| 1236 | C22×C3 | — | 32 | 1 | no | — |
| 1237 | C2×D3 | — | 32 | 2 | no | — |
| 1238 | C2×D3 | — | 64 | 1 | no | — |
| 1239 | C2×D3 | — | 64 | 1 | no | — |
| 1240 | A4 | AGL(1,ℤ/32) | 1 | 1 | yes | characteristic, complemented |
| 1241 | C3×C4 | — | 4 | 1 | no | — |
| 1242 | C3×C4 | — | 4 | 1 | no | — |
| 1243 | C3×C4 | — | 16 | 1 | no | — |
| 1244 | C3×C4 | — | 32 | 1 | no | — |
| 1245 | Dic3 | — | 64 | 1 | no | — |
| 1246 | C23 | — | 2 | 1 | no | — |
| 1247 | C23 | — | 3 | 1 | no | — |
| 1248 | C23 | — | 3 | 1 | no | — |
| 1249 | C23 | — | 6 | 1 | no | — |
| 1250 | C23 | — | 16 | 1 | no | — |
| 1251 | C23 | — | 24 | 1 | no | — |
| 1252 | C23 | — | 24 | 1 | no | — |
| 1253 | C23 | — | 24 | 2 | 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 | #10707070 | 1 | 1 | yes | characteristic |
| 1262 | Q8 | — | 4 | 1 | no | — |
| 1263 | Q8 | — | 12 | 1 | no | — |
| 1264 | Q8 | — | 24 | 1 | no | — |
| 1265 | Q8 | — | 24 | 1 | no | — |
| 1266 | D4 | — | 4 | 1 | no | — |
| 1267 | D4 | — | 8 | 1 | no | — |
| 1268 | D4 | — | 12 | 1 | no | — |
| 1269 | D4 | — | 24 | 1 | no | — |
| 1270 | D4 | — | 24 | 1 | no | — |
| 1271 | D4 | — | 24 | 2 | no | — |
| 1272 | D4 | — | 24 | 1 | no | — |
| 1273 | D4 | — | 24 | 1 | no | — |
| 1274 | D4 | — | 24 | 2 | no | — |
| 1275 | D4 | — | 24 | 1 | no | — |
| 1276 | D4 | — | 24 | 2 | no | — |
| 1277 | D4 | — | 48 | 1 | no | — |
| 1278 | D4 | — | 48 | 2 | no | — |
| 1279 | D4 | — | 48 | 2 | no | — |
| 1280 | D4 | — | 48 | 2 | no | — |
| 1281 | D4 | — | 48 | 2 | no | — |
| 1282 | D4 | — | 48 | 1 | no | — |
| 1283 | C2×C4 | — | 2 | 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 | — | 3 | 1 | no | — |
| 1291 | C2×C4 | — | 6 | 1 | no | — |
| 1292 | C2×C4 | — | 6 | 1 | no | — |
| 1293 | C2×C4 | — | 8 | 1 | no | — |
| 1294 | C2×C4 | — | 12 | 1 | no | — |
| 1295 | C2×C4 | — | 12 | 1 | no | — |
| 1296 | C2×C4 | — | 12 | 1 | no | — |
| 1297 | C2×C4 | — | 12 | 1 | no | — |
| 1298 | C2×C4 | — | 24 | 1 | no | — |
| 1299 | C2×C4 | — | 24 | 1 | no | — |
| 1300 | C2×C4 | — | 24 | 2 | no | — |
| 1301 | C2×C4 | — | 24 | 1 | no | — |
| 1302 | C2×C4 | — | 24 | 1 | no | — |
| 1303 | C2×C4 | — | 24 | 1 | no | — |
| 1304 | C2×C4 | — | 24 | 2 | 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 | 1 | no | — |
| 1311 | C2×C4 | — | 48 | 1 | no | — |
| 1312 | C2×C4 | — | 48 | 1 | no | — |
| 1313 | C2×C4 | — | 96 | 1 | no | — |
| 1314 | C2×C4 | — | 96 | 1 | no | — |
| 1315 | C2×C4 | — | 96 | 1 | no | — |
| 1316 | C2×C4 | — | 96 | 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 | — | 8 | 1 | no | — |
| 1324 | C8 | — | 24 | 1 | no | — |
| 1325 | C8 | — | 24 | 1 | no | — |
| 1326 | C8 | — | 96 | 1 | no | — |
| 1327 | C8 | — | 96 | 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 | 1 | no | — |
| 1333 | D3 | — | 64 | 2 | no | — |
| 1334 | C22 | — | 3 | 1 | no | — |
| 1335 | C22 | — | 3 | 1 | no | — |
| 1336 | C22 | — | 3 | 1 | no | — |
| 1337 | C22 | — | 6 | 1 | no | — |
| 1338 | C22 | — | 6 | 1 | no | — |
| 1339 | C22 | — | 6 | 1 | no | — |
| 1340 | C22 | — | 6 | 1 | no | — |
| 1341 | C22 | — | 8 | 1 | no | — |
| 1342 | C22 | — | 24 | 1 | no | — |
| 1343 | C22 | — | 48 | 1 | no | — |
| 1344 | C22 | — | 48 | 1 | 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 | — | 96 | 1 | no | — |
| 1351 | C22 | — | 96 | 1 | no | — |
| 1352 | C22 | — | 96 | 1 | no | — |
| 1353 | C22 | — | 96 | 1 | no | — |
| 1354 | C22 | #72222519 | 1 | 1 | yes | characteristic, complemented |
| 1355 | C22 | #72241438 | 1 | 1 | yes | characteristic |
| 1356 | C4 | — | 3 | 1 | no | — |
| 1357 | C4 | — | 3 | 1 | no | — |
| 1358 | C4 | — | 4 | 1 | no | — |
| 1359 | C4 | — | 8 | 1 | no | — |
| 1360 | C4 | — | 12 | 1 | no | — |
| 1361 | C4 | — | 24 | 1 | no | — |
| 1362 | C4 | — | 48 | 2 | no | — |
| 1363 | C4 | — | 96 | 1 | no | — |
| 1364 | C4 | — | 96 | 1 | no | — |
| 1365 | C4 | #72241430 | 1 | 1 | yes | characteristic |
| 1366 | C4 | #72342696 | 1 | 1 | yes | characteristic |
| 1367 | C3 | — | 4 | 1 | no | Sylow |
| 1368 | C2 | — | 2 | 1 | no | — |
| 1369 | C2 | — | 3 | 1 | no | — |
| 1370 | C2 | — | 3 | 1 | no | — |
| 1371 | C2 | — | 6 | 1 | no | — |
| 1372 | C2 | — | 16 | 1 | no | — |
| 1373 | C2 | — | 48 | 1 | no | — |
| 1374 | C2 | — | 96 | 2 | no | — |
| 1375 | C2 | #72342761 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. A4×#12068 | C2 | semidirect |
| 4. #72342862 | C2 | semidirect |
| 5. #72342850 | C2 | semidirect |
| 6. #72342846 | C2 | semidirect |
| 7. #72342839 | C2 | semidirect |
| 8. #72342810 | C2 | semidirect |
| 33. C22×#12068 | D3 | semidirect |
| 43. #11711663 | C8 | semidirect |
| 44. #11711662 | C8 | semidirect |
| 131. A4×Q32 | C2×C8 | semidirect |
| 133. A4×D16 | C2×C8 | semidirect |
| 157. A4⋊C32 | C2×C8 | semidirect |
| 241. #12068 | S4 | semidirect |
| 348. C22×Q32 | D3×C8 | semidirect |
| 351. C22×D16 | D3×C8 | semidirect |
| 957. Q32 | C8×S4 | semidirect |
| 970. D16 | C8×S4 | semidirect |
| 1240. A4 | AGL(1,ℤ/32) | semidirect |
| 1354. C22 | #72222519 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| A4×#12068 | 2 |
| #72342862 | 2 |
| #72342850 | 2 |
| #72342846 | 2 |
| #72342839 | 2 |
| #72342810 | 2 |
| #72342806 | 2 |
| #72287313 | 3 |
| #72222519 | 4 |