Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
1886 conjugacy classes of subgroups.
The subgroup lattice has 878 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11743341 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#90253 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C7×#3077 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11740795 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11739752 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11738630 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #11738629 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #11738495 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #11738399 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #11736686 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #11736656 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #11736500 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11736493 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11736387 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | #11736375 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | C7×#533 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×C4×C7×D4 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#6503 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#6501 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#6495 | C22 | 1 | 2 | yes | — |
| 21 | C2×#6493 | — | 2 | 1 | no | — |
| 22 | C2×#6492 | — | 2 | 1 | no | — |
| 23 | C2×#6471 | C22 | 1 | 2 | yes | — |
| 24 | C2×D7×M16 | C22 | 1 | 2 | yes | — |
| 25 | #90424 | C22 | 1 | 2 | yes | complemented |
| 26 | #90424 | C22 | 1 | 2 | yes | complemented |
| 27 | #90389 | C22 | 1 | 2 | yes | complemented |
| 28 | #90388 | C22 | 1 | 2 | yes | complemented |
| 29 | #90336 | — | 2 | 1 | no | — |
| 30 | #90336 | — | 2 | 1 | no | — |
| 31 | #90335 | — | 2 | 1 | no | — |
| 32 | #90335 | — | 2 | 1 | no | — |
| 33 | #90271 | — | 2 | 2 | no | — |
| 34 | #90271 | — | 2 | 2 | no | — |
| 35 | #90253 | — | 2 | 2 | no | — |
| 36 | #90253 | — | 2 | 2 | no | — |
| 37 | #90253 | C22 | 1 | 4 | yes | — |
| 38 | #90253 | C22 | 1 | 4 | yes | — |
| 39 | #90215 | C22 | 1 | 2 | yes | — |
| 40 | #90213 | C22 | 1 | 2 | yes | — |
| 41 | C2×#6458 | C22 | 1 | 1 | yes | characteristic |
| 42 | C2×#6453 | C22 | 1 | 1 | yes | characteristic |
| 43 | C2×#6447 | — | 2 | 1 | no | — |
| 44 | C2×#6446 | — | 2 | 1 | no | — |
| 45 | #90168 | C22 | 1 | 1 | yes | characteristic |
| 46 | C2×C4×D28 | C22 | 1 | 1 | yes | characteristic |
| 47 | C2×#6435 | C22 | 1 | 1 | yes | characteristic |
| 48 | C7×#478 | C22 | 1 | 4 | yes | complemented |
| 49 | C7×#476 | C22 | 1 | 2 | yes | complemented |
| 50 | C7×#474 | C22 | 1 | 2 | yes | complemented |
| 51 | C7×#428 | C22 | 1 | 2 | yes | — |
| 52 | C7×#423 | C22 | 1 | 1 | yes | characteristic |
| 53 | C7×#418 | C22 | 1 | 2 | yes | — |
| 54 | #89905 | C22 | 1 | 2 | yes | — |
| 55 | #89890 | C22 | 1 | 2 | yes | — |
| 56 | #89859 | C22 | 1 | 2 | yes | complemented |
| 57 | #89856 | C22 | 1 | 2 | yes | complemented |
| 58 | #89838 | C22 | 1 | 4 | yes | complemented |
| 59 | #89791 | C22 | 1 | 2 | yes | complemented |
| 60 | #89788 | C22 | 1 | 4 | yes | complemented |
| 61 | #89787 | C22 | 1 | 2 | yes | complemented |
| 62 | #89773 | C22 | 1 | 2 | yes | — |
| 63 | #89767 | C22 | 1 | 2 | yes | — |
| 64 | #89738 | C22 | 1 | 2 | yes | — |
| 65 | #89696 | C22 | 1 | 1 | yes | characteristic |
| 66 | #89663 | C22 | 1 | 4 | yes | complemented |
| 67 | #89658 | C22 | 1 | 4 | yes | complemented |
| 68 | #89655 | C22 | 1 | 4 | yes | complemented |
| 69 | #89649 | C22 | 1 | 4 | yes | complemented |
| 70 | #89643 | C22 | 1 | 4 | yes | complemented |
| 71 | #89637 | C22 | 1 | 4 | yes | complemented |
| 72 | #89636 | C22 | 1 | 4 | yes | complemented |
| 73 | #89629 | C22 | 1 | 4 | yes | complemented |
| 74 | #89616 | C22 | 1 | 4 | yes | complemented |
| 75 | #89615 | C22 | 1 | 2 | yes | complemented |
| 76 | #89613 | C22 | 1 | 2 | yes | complemented |
| 77 | #89611 | C22 | 1 | 4 | yes | complemented |
| 78 | #89611 | C22 | 1 | 4 | yes | complemented |
| 79 | #89558 | C22 | 1 | 4 | yes | complemented |
| 80 | #89558 | C22 | 1 | 4 | yes | complemented |
| 81 | #89554 | C22 | 1 | 4 | yes | complemented |
| 82 | #89552 | C22 | 1 | 4 | yes | complemented |
| 83 | #89550 | C22 | 1 | 4 | yes | complemented |
| 84 | #89547 | C22 | 1 | 4 | yes | complemented |
| 85 | #89534 | C22 | 1 | 4 | yes | complemented |
| 86 | #89534 | C22 | 1 | 4 | yes | complemented |
| 87 | #60920 | — | 7 | 1 | no | maximal, Sylow |
| 88 | C22×C7×D4 | C23 | 1 | 1 | yes | characteristic |
| 89 | C23×C4×C7 | — | 2 | 1 | no | — |
| 90 | C22×C22⋊D7 | — | 2 | 1 | no | — |
| 91 | C22×C22⋊D7 | — | 2 | 1 | no | — |
| 92 | C22×C22⋊D7 | — | 2 | 1 | no | — |
| 93 | C2×#1157 | C23 | 1 | 2 | yes | — |
| 94 | C22×D28 | — | 2 | 1 | no | — |
| 95 | C22×D28 | C23 | 1 | 1 | yes | characteristic |
| 96 | C22×C4×D7 | — | 2 | 1 | no | — |
| 97 | C22×C4×D7 | C23 | 1 | 1 | yes | characteristic |
| 98 | C2×C7×M16 | C23 | 1 | 2 | yes | — |
| 99 | C7×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 100 | C7×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 101 | C7×#125 | C23 | 1 | 2 | yes | — |
| 102 | C7×C22⋊Q8 | — | 2 | 1 | no | — |
| 103 | C7×C22⋊Q8 | — | 2 | 1 | no | — |
| 104 | C4×C7×Q8 | — | 2 | 1 | no | — |
| 105 | C4×C7×Q8 | — | 2 | 1 | no | — |
| 106 | C4×C7×D4 | — | 2 | 1 | no | — |
| 107 | C4×C7×D4 | — | 2 | 1 | no | — |
| 108 | C4×C7×D4 | C23 | 1 | 2 | yes | — |
| 109 | C4×C7×D4 | C23 | 1 | 2 | yes | — |
| 110 | C7×#117 | C23 | 1 | 2 | yes | — |
| 111 | C2×C7×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 112 | C2×C7×C22⋊C4 | — | 2 | 1 | no | — |
| 113 | C2×C42×C7 | C23 | 1 | 1 | yes | characteristic |
| 114 | C2×C22⋊Dic7 | — | 2 | 1 | no | — |
| 115 | #6510 | — | 2 | 2 | no | — |
| 116 | #6510 | — | 2 | 2 | no | — |
| 117 | #6509 | — | 2 | 2 | no | — |
| 118 | #6509 | — | 2 | 2 | no | — |
| 119 | #6503 | — | 2 | 2 | no | — |
| 120 | #6503 | C23 | 1 | 4 | yes | — |
| 121 | #6501 | — | 2 | 2 | no | — |
| 122 | #6501 | C23 | 1 | 4 | yes | — |
| 123 | C2×#1142 | C23 | 1 | 4 | yes | — |
| 124 | #6495 | — | 4 | 4 | no | — |
| 125 | C2×#1141 | C23 | 1 | 4 | yes | — |
| 126 | #6493 | — | 2 | 1 | no | — |
| 127 | #6493 | — | 2 | 1 | no | — |
| 128 | #6493 | — | 2 | 4 | no | — |
| 129 | #6493 | — | 2 | 4 | no | — |
| 130 | #6492 | — | 2 | 4 | no | — |
| 131 | #6492 | — | 2 | 4 | no | — |
| 132 | C2×(C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 133 | C2×(C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 134 | C2×(C2×D7)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 135 | C2×(C2×D7)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 136 | C2×C4⋊Dic7 | — | 2 | 1 | no | — |
| 137 | C2×C4⋊Dic7 | C23 | 1 | 1 | yes | characteristic |
| 138 | C2×Dic7⋊C4 | — | 2 | 1 | no | — |
| 139 | C2×Dic7⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 140 | C2×Dic7⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 141 | C2×C4×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 142 | C2×#1136 | C23 | 1 | 2 | yes | — |
| 143 | #6471 | — | 4 | 4 | no | — |
| 144 | D7×M16 | — | 4 | 4 | no | — |
| 145 | C2×D56 | C23 | 1 | 4 | yes | — |
| 146 | C2×#1132 | C23 | 1 | 4 | yes | — |
| 147 | C2×#1131 | C23 | 1 | 4 | yes | — |
| 148 | C2×C8×D7 | C23 | 1 | 4 | yes | — |
| 149 | #6461 | — | 2 | 2 | no | — |
| 150 | #6461 | — | 2 | 2 | no | — |
| 151 | #6461 | — | 2 | 2 | no | — |
| 152 | #6461 | — | 2 | 2 | no | — |
| 153 | #6460 | C23 | 1 | 2 | yes | — |
| 154 | #6460 | C23 | 1 | 2 | yes | — |
| 155 | #6458 | — | 2 | 2 | no | — |
| 156 | #6458 | — | 2 | 2 | no | — |
| 157 | #6458 | — | 2 | 2 | no | — |
| 158 | #6458 | C23 | 1 | 2 | yes | — |
| 159 | #6458 | C23 | 1 | 2 | yes | — |
| 160 | #6458 | C23 | 1 | 4 | yes | — |
| 161 | #6457 | — | 2 | 2 | no | — |
| 162 | #6457 | — | 2 | 2 | no | — |
| 163 | #6457 | — | 2 | 2 | no | — |
| 164 | #6457 | — | 2 | 2 | no | — |
| 165 | #6456 | C23 | 1 | 2 | yes | — |
| 166 | #6456 | C23 | 1 | 2 | yes | — |
| 167 | #6453 | — | 2 | 2 | no | — |
| 168 | #6453 | — | 2 | 2 | no | — |
| 169 | #6453 | — | 2 | 2 | no | — |
| 170 | #6453 | C23 | 1 | 4 | yes | — |
| 171 | #6450 | C23 | 1 | 2 | yes | — |
| 172 | #6450 | C23 | 1 | 2 | yes | — |
| 173 | #6449 | — | 2 | 2 | no | — |
| 174 | #6447 | — | 2 | 4 | no | — |
| 175 | #6447 | — | 2 | 4 | no | — |
| 176 | #6446 | — | 2 | 4 | no | — |
| 177 | #6446 | — | 2 | 4 | no | — |
| 178 | #6445 | — | 2 | 2 | no | — |
| 179 | (C22⋊D7)⋊C4 | — | 2 | 2 | no | — |
| 180 | (C22⋊D7)⋊C4 | — | 2 | 2 | no | — |
| 181 | #6438 | C23 | 1 | 2 | yes | — |
| 182 | #6437 | C23 | 1 | 1 | yes | characteristic |
| 183 | C4×D28 | — | 2 | 2 | no | — |
| 184 | C4×D28 | — | 2 | 2 | no | — |
| 185 | C4×D28 | — | 2 | 1 | no | — |
| 186 | C4×D28 | — | 2 | 1 | no | — |
| 187 | C4×D28 | — | 2 | 1 | no | — |
| 188 | C4×D28 | — | 2 | 1 | no | — |
| 189 | C4×D28 | C23 | 1 | 2 | yes | — |
| 190 | C4×D28 | C23 | 1 | 2 | yes | — |
| 191 | #6435 | — | 2 | 2 | no | — |
| 192 | #6435 | D4 | 1 | 2 | yes | — |
| 193 | #6435 | D4 | 1 | 2 | yes | — |
| 194 | #6435 | C23 | 1 | 2 | yes | — |
| 195 | #6435 | C23 | 1 | 2 | yes | — |
| 196 | C42×D7 | — | 2 | 2 | no | — |
| 197 | #6432 | C23 | 1 | 1 | yes | characteristic |
| 198 | C7×#107 | C23 | 1 | 4 | yes | — |
| 199 | C7×#106 | C23 | 1 | 4 | yes | — |
| 200 | C7×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 201 | C7×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 202 | C7×#102 | C23 | 1 | 4 | yes | — |
| 203 | C7×#102 | C23 | 1 | 4 | yes | — |
| 204 | #6395 | C23 | 1 | 4 | yes | — |
| 205 | #6390 | C23 | 1 | 4 | yes | — |
| 206 | Dic7⋊C8 | C23 | 1 | 4 | yes | — |
| 207 | Dic7⋊C8 | C23 | 1 | 4 | yes | — |
| 208 | #6384 | C23 | 1 | 4 | yes | — |
| 209 | #6383 | C23 | 1 | 4 | yes | — |
| 210 | #6383 | C23 | 1 | 4 | yes | — |
| 211 | #6383 | C23 | 1 | 4 | yes | — |
| 212 | #6382 | C23 | 1 | 4 | yes | — |
| 213 | #6381 | C23 | 1 | 4 | yes | — |
| 214 | C4⋊(C7⋊C8) | C23 | 1 | 2 | yes | — |
| 215 | C4⋊(C7⋊C8) | C23 | 1 | 2 | yes | — |
| 216 | #3455 | — | 7 | 1 | no | — |
| 217 | C2×#540 | — | 7 | 1 | no | — |
| 218 | #3260 | — | 7 | 4 | no | — |
| 219 | #3259 | — | 7 | 4 | no | — |
| 220 | #3257 | — | 7 | 4 | no | — |
| 221 | #3257 | — | 7 | 4 | no | — |
| 222 | #3080 | — | 7 | 2 | no | — |
| 223 | #3077 | — | 7 | 1 | no | — |
| 224 | #3077 | D7 | 1 | 1 | yes | characteristic, complemented |
| 225 | #3055 | — | 7 | 2 | no | — |
| 226 | #3055 | — | 7 | 2 | no | — |
| 227 | #3038 | — | 7 | 2 | no | — |
| 228 | #3036 | — | 7 | 1 | no | — |
| 229 | #3036 | — | 7 | 1 | no | — |
| 230 | #2905 | — | 7 | 1 | no | — |
| 231 | C24×C7 | — | 2 | 1 | no | — |
| 232 | C23×D7 | — | 2 | 1 | no | — |
| 233 | C23×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 234 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 235 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 236 | C2×C7×D4 | — | 2 | 1 | no | — |
| 237 | C2×C7×D4 | — | 2 | 2 | no | — |
| 238 | C2×C7×D4 | — | 2 | 2 | no | — |
| 239 | C2×C7×D4 | C24 | 1 | 2 | yes | — |
| 240 | C22×C4×C7 | — | 2 | 1 | no | — |
| 241 | C22×C4×C7 | — | 2 | 2 | no | — |
| 242 | C22×C4×C7 | — | 2 | 2 | no | — |
| 243 | C22×C4×C7 | — | 8 | 2 | no | — |
| 244 | C22×C4×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 245 | C22×C4×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 246 | C22×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 247 | C2×C22⋊D7 | — | 2 | 2 | no | — |
| 248 | C2×C22⋊D7 | — | 2 | 4 | no | — |
| 249 | C2×C22⋊D7 | — | 2 | 4 | no | — |
| 250 | C2×C22⋊D7 | — | 2 | 4 | no | — |
| 251 | C2×C22⋊D7 | — | 8 | 2 | no | — |
| 252 | C2×C22⋊D7 | — | 8 | 2 | no | — |
| 253 | C2×C22⋊D7 | — | 8 | 2 | no | — |
| 254 | C22×Dic7 | — | 2 | 1 | no | — |
| 255 | C22×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 256 | C22×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 257 | C22×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 258 | #1157 | — | 2 | 4 | no | — |
| 259 | #1157 | — | 2 | 4 | no | — |
| 260 | C2×D28 | — | 2 | 2 | no | — |
| 261 | C2×D28 | — | 2 | 2 | no | — |
| 262 | C2×D28 | — | 2 | 1 | no | — |
| 263 | C2×D28 | — | 2 | 2 | no | — |
| 264 | C2×D28 | — | 2 | 2 | no | — |
| 265 | C2×D28 | — | 2 | 4 | no | — |
| 266 | C2×D28 | — | 2 | 1 | no | — |
| 267 | C2×D28 | — | 2 | 1 | no | — |
| 268 | C2×D28 | — | 8 | 2 | no | — |
| 269 | C2×D28 | C24 | 1 | 2 | yes | — |
| 270 | C2×D28 | C24 | 1 | 2 | yes | — |
| 271 | C2×C4×D7 | — | 2 | 2 | no | — |
| 272 | C2×C4×D7 | — | 2 | 2 | no | — |
| 273 | C2×C4×D7 | — | 2 | 2 | no | — |
| 274 | C2×C4×D7 | — | 2 | 2 | no | — |
| 275 | C2×C4×D7 | — | 2 | 2 | no | — |
| 276 | C2×C4×D7 | — | 2 | 2 | no | — |
| 277 | C2×C4×D7 | — | 2 | 2 | no | — |
| 278 | C2×C4×D7 | — | 8 | 2 | no | — |
| 279 | C2×C4×D7 | C2×D4 | 1 | 2 | yes | — |
| 280 | C2×C4×D7 | C24 | 1 | 2 | yes | — |
| 281 | C2×Dic14 | C24 | 1 | 2 | yes | — |
| 282 | C7×M16 | — | 2 | 4 | no | — |
| 283 | C2×C7×C8 | C24 | 1 | 4 | yes | — |
| 284 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 285 | C7×C4⋊C4 | — | 2 | 2 | no | — |
| 286 | C7×C4⋊C4 | — | 2 | 2 | no | — |
| 287 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 288 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 289 | C7×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 290 | C7×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 291 | C7×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 292 | C7×C22⋊C4 | — | 2 | 2 | no | — |
| 293 | C7×C22⋊C4 | — | 2 | 2 | no | — |
| 294 | C7×C22⋊C4 | — | 2 | 2 | no | — |
| 295 | C42×C7 | — | 2 | 2 | no | — |
| 296 | C42×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 297 | C42×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 298 | C42×C7 | C24 | 1 | 1 | yes | characteristic |
| 299 | C42×C7 | C24 | 1 | 1 | yes | characteristic |
| 300 | C22⋊Dic7 | — | 2 | 4 | no | — |
| 301 | #1142 | — | 4 | 4 | no | — |
| 302 | #1141 | — | 4 | 4 | no | — |
| 303 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 304 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 305 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 306 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 307 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 308 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 309 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 310 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 311 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 312 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 313 | (C2×D7)⋊C4 | — | 2 | 4 | no | — |
| 314 | (C2×D7)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 315 | (C2×D7)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 316 | (C2×D7)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 317 | (C2×D7)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 318 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 319 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 320 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 321 | C4⋊Dic7 | — | 2 | 2 | no | — |
| 322 | C4⋊Dic7 | — | 2 | 2 | no | — |
| 323 | C4⋊Dic7 | — | 2 | 4 | no | — |
| 324 | C4⋊Dic7 | C24 | 1 | 2 | yes | — |
| 325 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 326 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 327 | Dic7⋊C4 | — | 2 | 4 | no | — |
| 328 | Dic7⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 329 | Dic7⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 330 | Dic7⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 331 | Dic7⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 332 | C4×Dic7 | — | 2 | 2 | no | — |
| 333 | C4×Dic7 | — | 2 | 2 | no | — |
| 334 | C4×Dic7 | C2×D4 | 1 | 2 | yes | — |
| 335 | C4×Dic7 | C24 | 1 | 2 | yes | — |
| 336 | #1136 | — | 2 | 4 | no | — |
| 337 | C2×C7⋊C8 | C24 | 1 | 4 | yes | — |
| 338 | D56 | — | 4 | 4 | no | — |
| 339 | #1132 | — | 4 | 4 | no | — |
| 340 | #1131 | — | 4 | 4 | no | — |
| 341 | C8×D7 | — | 4 | 4 | no | — |
| 342 | C2×AGL(1,ℤ/8) | — | 7 | 2 | no | — |
| 343 | C2×AGL(1,ℤ/8) | — | 7 | 2 | no | — |
| 344 | C22×M16 | — | 7 | 2 | no | — |
| 345 | #542 | — | 7 | 2 | no | — |
| 346 | #542 | — | 7 | 2 | no | — |
| 347 | #541 | — | 7 | 2 | no | — |
| 348 | #540 | — | 7 | 2 | no | — |
| 349 | #540 | — | 7 | 4 | no | — |
| 350 | #540 | — | 7 | 4 | no | — |
| 351 | #540 | — | 14 | 2 | no | — |
| 352 | #540 | — | 14 | 2 | no | — |
| 353 | #539 | — | 14 | 1 | no | — |
| 354 | #539 | — | 14 | 1 | no | — |
| 355 | #538 | — | 14 | 1 | no | — |
| 356 | #538 | — | 14 | 1 | no | — |
| 357 | #533 | C2×D7 | 1 | 1 | yes | characteristic |
| 358 | #532 | — | 7 | 1 | no | — |
| 359 | C2×#127 | — | 7 | 1 | no | — |
| 360 | #529 | — | 14 | 2 | no | — |
| 361 | #529 | — | 14 | 2 | no | — |
| 362 | C2×#125 | — | 7 | 1 | no | — |
| 363 | #525 | — | 7 | 2 | no | — |
| 364 | C2×#123 | — | 14 | 1 | no | — |
| 365 | C2×#123 | — | 14 | 1 | no | — |
| 366 | C2×#121 | — | 7 | 1 | no | — |
| 367 | C2×#121 | — | 7 | 1 | no | — |
| 368 | C2×#121 | — | 14 | 1 | no | — |
| 369 | C2×#121 | — | 14 | 1 | no | — |
| 370 | C4×#41 | — | 7 | 2 | no | — |
| 371 | C2×C4×D4 | — | 7 | 1 | no | — |
| 372 | C2×C4×D4 | C2×D7 | 1 | 1 | yes | characteristic |
| 373 | C2×#117 | — | 7 | 1 | no | — |
| 374 | #479 | — | 7 | 4 | no | — |
| 375 | #479 | — | 7 | 4 | no | — |
| 376 | #478 | — | 7 | 4 | no | — |
| 377 | #478 | — | 7 | 4 | no | — |
| 378 | #478 | — | 7 | 4 | no | — |
| 379 | #478 | C2×D7 | 1 | 4 | yes | complemented |
| 380 | #476 | — | 7 | 2 | no | — |
| 381 | #476 | C2×D7 | 1 | 2 | yes | complemented |
| 382 | #474 | — | 7 | 2 | no | — |
| 383 | #474 | C2×D7 | 1 | 2 | yes | complemented |
| 384 | #469 | — | 7 | 4 | no | — |
| 385 | #469 | — | 7 | 4 | no | — |
| 386 | #468 | — | 7 | 4 | no | — |
| 387 | #468 | — | 7 | 4 | no | — |
| 388 | #466 | — | 7 | 4 | no | — |
| 389 | #466 | — | 7 | 4 | no | — |
| 390 | #465 | — | 7 | 4 | no | — |
| 391 | #465 | — | 7 | 4 | no | — |
| 392 | #463 | — | 7 | 4 | no | — |
| 393 | #463 | — | 7 | 4 | no | — |
| 394 | #461 | — | 7 | 2 | no | — |
| 395 | #461 | — | 7 | 2 | no | — |
| 396 | #460 | — | 7 | 4 | no | — |
| 397 | #460 | — | 7 | 4 | no | — |
| 398 | #459 | — | 7 | 2 | no | — |
| 399 | #459 | — | 7 | 2 | no | — |
| 400 | #459 | — | 7 | 4 | no | — |
| 401 | #459 | — | 7 | 4 | no | — |
| 402 | #428 | — | 7 | 2 | no | — |
| 403 | #428 | C2×D7 | 1 | 2 | yes | — |
| 404 | #424 | — | 7 | 4 | no | — |
| 405 | #424 | — | 7 | 4 | no | — |
| 406 | #423 | — | 7 | 2 | no | — |
| 407 | #423 | — | 7 | 1 | no | — |
| 408 | #423 | C2×D7 | 1 | 1 | yes | characteristic |
| 409 | #418 | — | 7 | 2 | no | — |
| 410 | #418 | C2×D7 | 1 | 2 | yes | — |
| 411 | #417 | — | 7 | 2 | no | — |
| 412 | #417 | — | 7 | 2 | no | — |
| 413 | C23×C7 | — | 2 | 2 | no | — |
| 414 | C23×C7 | — | 4 | 2 | no | — |
| 415 | C23×C7 | — | 4 | 2 | no | — |
| 416 | C23×C7 | — | 4 | 2 | no | — |
| 417 | C23×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 418 | C22×D7 | — | 2 | 2 | no | — |
| 419 | C22×D7 | — | 2 | 2 | no | — |
| 420 | C22×D7 | — | 2 | 2 | no | — |
| 421 | C22×D7 | — | 4 | 1 | no | — |
| 422 | C22×D7 | — | 4 | 1 | no | — |
| 423 | C22×D7 | — | 4 | 2 | no | — |
| 424 | C22×D7 | — | 4 | 2 | no | — |
| 425 | C22×D7 | — | 4 | 2 | no | — |
| 426 | C22×D7 | C22×D4 | 1 | 2 | yes | — |
| 427 | C7×Q8 | — | 8 | 1 | no | — |
| 428 | C7×Q8 | — | 8 | 1 | no | — |
| 429 | C7×D4 | — | 2 | 2 | no | — |
| 430 | C7×D4 | — | 2 | 2 | no | — |
| 431 | C7×D4 | — | 4 | 2 | no | — |
| 432 | C2×C4×C7 | — | 2 | 2 | no | — |
| 433 | C2×C4×C7 | — | 2 | 2 | no | — |
| 434 | C2×C4×C7 | — | 2 | 2 | no | — |
| 435 | C2×C4×C7 | — | 4 | 1 | no | — |
| 436 | C2×C4×C7 | — | 4 | 1 | no | — |
| 437 | C2×C4×C7 | — | 4 | 2 | no | — |
| 438 | C2×C4×C7 | — | 8 | 2 | no | — |
| 439 | C2×C4×C7 | — | 8 | 2 | no | — |
| 440 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 441 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 442 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 443 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 444 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 445 | C2×C4×C7 | H(5,𝔽2) | 1 | 2 | yes | — |
| 446 | C2×C4×C7 | 2−1+4 | 1 | 2 | yes | — |
| 447 | C2×C4×C7 | C25 | 1 | 1 | yes | characteristic |
| 448 | C22⋊D7 | — | 4 | 4 | no | — |
| 449 | C22⋊D7 | — | 8 | 4 | no | — |
| 450 | C22⋊D7 | — | 8 | 4 | no | — |
| 451 | C22⋊D7 | — | 8 | 4 | no | — |
| 452 | C2×Dic7 | — | 2 | 2 | no | — |
| 453 | C2×Dic7 | — | 2 | 2 | no | — |
| 454 | C2×Dic7 | — | 2 | 2 | no | — |
| 455 | C2×Dic7 | — | 4 | 1 | no | — |
| 456 | C2×Dic7 | — | 4 | 1 | no | — |
| 457 | C2×Dic7 | — | 4 | 2 | no | — |
| 458 | C2×Dic7 | C22×D4 | 1 | 2 | yes | — |
| 459 | C2×Dic7 | C22×D4 | 1 | 2 | yes | — |
| 460 | C2×Dic7 | C22×D4 | 1 | 2 | yes | — |
| 461 | D28 | — | 2 | 2 | no | — |
| 462 | D28 | — | 2 | 2 | no | — |
| 463 | D28 | — | 2 | 2 | no | — |
| 464 | D28 | — | 2 | 2 | no | — |
| 465 | D28 | — | 4 | 2 | no | — |
| 466 | D28 | — | 8 | 1 | no | — |
| 467 | D28 | — | 8 | 1 | no | — |
| 468 | D28 | — | 8 | 2 | no | — |
| 469 | D28 | — | 8 | 2 | no | — |
| 470 | D28 | — | 8 | 4 | no | — |
| 471 | C4×D7 | — | 2 | 4 | no | — |
| 472 | C4×D7 | — | 2 | 2 | no | — |
| 473 | C4×D7 | — | 2 | 2 | no | — |
| 474 | C4×D7 | — | 4 | 4 | no | — |
| 475 | C4×D7 | — | 8 | 2 | no | — |
| 476 | C4×D7 | — | 8 | 2 | no | — |
| 477 | C4×D7 | — | 8 | 2 | no | — |
| 478 | C4×D7 | — | 8 | 2 | no | — |
| 479 | Dic14 | — | 2 | 2 | no | — |
| 480 | Dic14 | — | 2 | 2 | no | — |
| 481 | C7×C8 | — | 2 | 4 | no | — |
| 482 | C7⋊C8 | — | 2 | 4 | no | — |
| 483 | C2×#41 | — | 7 | 2 | no | — |
| 484 | C22×D4 | — | 7 | 1 | no | — |
| 485 | C22×D4 | — | 14 | 1 | no | — |
| 486 | C22×D4 | — | 14 | 1 | no | — |
| 487 | C22×D4 | — | 14 | 1 | no | — |
| 488 | C22×D4 | — | 14 | 1 | no | — |
| 489 | C22×D4 | C22×D7 | 1 | 1 | yes | characteristic |
| 490 | C23×C4 | — | 2 | 1 | no | — |
| 491 | C23×C4 | — | 7 | 1 | no | — |
| 492 | C23×C4 | — | 14 | 1 | no | — |
| 493 | AGL(1,ℤ/8) | — | 28 | 4 | no | — |
| 494 | AGL(1,ℤ/8) | — | 28 | 4 | no | — |
| 495 | C2×SD16 | — | 7 | 4 | no | — |
| 496 | C2×SD16 | — | 7 | 4 | no | — |
| 497 | C2×D8 | — | 7 | 4 | no | — |
| 498 | C2×D8 | — | 7 | 4 | no | — |
| 499 | C2×M16 | — | 7 | 2 | no | — |
| 500 | C2×M16 | — | 7 | 4 | no | — |
| 501 | C2×M16 | — | 28 | 4 | no | — |
| 502 | C2×M16 | C22×D7 | 1 | 2 | yes | — |
| 503 | C22×C8 | — | 7 | 4 | no | — |
| 504 | C4⋊Q8 | — | 7 | 1 | no | — |
| 505 | C4⋊Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 506 | C4⋊Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 507 | #127 | — | 7 | 4 | no | — |
| 508 | #127 | — | 7 | 1 | no | — |
| 509 | #127 | — | 14 | 2 | no | — |
| 510 | #126 | — | 14 | 2 | no | — |
| 511 | #126 | — | 14 | 2 | no | — |
| 512 | #126 | — | 14 | 2 | no | — |
| 513 | #126 | — | 14 | 2 | no | — |
| 514 | #125 | — | 7 | 4 | no | — |
| 515 | #125 | — | 14 | 2 | no | — |
| 516 | #125 | — | 14 | 2 | no | — |
| 517 | #125 | — | 14 | 2 | no | — |
| 518 | #125 | C22×D7 | 1 | 2 | yes | — |
| 519 | #124 | — | 7 | 2 | no | — |
| 520 | #124 | — | 14 | 2 | no | — |
| 521 | #124 | — | 14 | 2 | no | — |
| 522 | #123 | — | 14 | 4 | no | — |
| 523 | #123 | — | 14 | 4 | no | — |
| 524 | #123 | — | 14 | 2 | no | — |
| 525 | #123 | — | 14 | 2 | no | — |
| 526 | #123 | — | 14 | 2 | no | — |
| 527 | #123 | — | 14 | 2 | no | — |
| 528 | #123 | — | 14 | 2 | no | — |
| 529 | #123 | — | 14 | 4 | no | — |
| 530 | #123 | — | 14 | 4 | no | — |
| 531 | C22⋊Q8 | — | 2 | 1 | no | — |
| 532 | C22⋊Q8 | — | 2 | 1 | no | — |
| 533 | C22⋊Q8 | — | 7 | 2 | no | — |
| 534 | C22⋊Q8 | — | 7 | 2 | no | — |
| 535 | C22⋊Q8 | — | 14 | 2 | no | — |
| 536 | C22⋊Q8 | — | 14 | 2 | no | — |
| 537 | #121 | — | 7 | 4 | no | — |
| 538 | #121 | — | 7 | 4 | no | — |
| 539 | #121 | — | 7 | 2 | no | — |
| 540 | #121 | — | 7 | 2 | no | — |
| 541 | #121 | — | 14 | 4 | no | — |
| 542 | #121 | — | 14 | 4 | no | — |
| 543 | #121 | — | 14 | 2 | no | — |
| 544 | #121 | — | 14 | 2 | no | — |
| 545 | #121 | — | 14 | 4 | no | — |
| 546 | #121 | — | 14 | 4 | no | — |
| 547 | #121 | — | 14 | 2 | no | — |
| 548 | #121 | — | 14 | 2 | no | — |
| 549 | #121 | — | 14 | 1 | no | — |
| 550 | #121 | — | 14 | 1 | no | — |
| 551 | #120 | — | 14 | 2 | no | — |
| 552 | C4×Q8 | — | 2 | 1 | no | — |
| 553 | C4×Q8 | — | 2 | 1 | no | — |
| 554 | C4×Q8 | — | 7 | 2 | no | — |
| 555 | C4×Q8 | — | 7 | 2 | no | — |
| 556 | C4×D4 | — | 2 | 1 | no | — |
| 557 | C4×D4 | — | 2 | 1 | no | — |
| 558 | C4×D4 | — | 7 | 2 | no | — |
| 559 | C4×D4 | — | 7 | 2 | no | — |
| 560 | C4×D4 | — | 7 | 2 | no | — |
| 561 | C4×D4 | — | 7 | 2 | no | — |
| 562 | C4×D4 | — | 14 | 2 | no | — |
| 563 | C4×D4 | — | 14 | 2 | no | — |
| 564 | C4×D4 | — | 14 | 2 | no | — |
| 565 | C4×D4 | — | 14 | 2 | no | — |
| 566 | C4×D4 | — | 14 | 1 | no | — |
| 567 | C4×D4 | — | 14 | 1 | no | — |
| 568 | C4×D4 | — | 14 | 1 | no | — |
| 569 | C4×D4 | — | 14 | 1 | no | — |
| 570 | C4×D4 | C22×D7 | 1 | 2 | yes | — |
| 571 | C4×D4 | C22×D7 | 1 | 2 | yes | — |
| 572 | #117 | — | 7 | 2 | no | — |
| 573 | #117 | — | 7 | 2 | no | — |
| 574 | #117 | — | 7 | 2 | no | — |
| 575 | #117 | — | 7 | 2 | no | — |
| 576 | #117 | — | 14 | 2 | no | — |
| 577 | #117 | C22×D7 | 1 | 2 | yes | — |
| 578 | C2×C4⋊C4 | — | 7 | 1 | no | — |
| 579 | C2×C4⋊C4 | — | 7 | 1 | no | — |
| 580 | C2×C4⋊C4 | — | 7 | 1 | no | — |
| 581 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 582 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 583 | C2×C4⋊C4 | C22×D7 | 1 | 1 | yes | characteristic |
| 584 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 585 | C2×C22⋊C4 | — | 7 | 1 | no | — |
| 586 | C2×C22⋊C4 | — | 7 | 1 | no | — |
| 587 | C2×C22⋊C4 | — | 14 | 1 | no | — |
| 588 | C2×C22⋊C4 | — | 14 | 1 | no | — |
| 589 | C2×C22⋊C4 | — | 14 | 1 | no | — |
| 590 | C2×C42 | — | 7 | 1 | no | — |
| 591 | C2×C42 | — | 14 | 2 | no | — |
| 592 | C2×C42 | C22×D7 | 1 | 1 | yes | characteristic |
| 593 | #107 | — | 7 | 4 | no | — |
| 594 | #107 | C22×D7 | 1 | 4 | yes | — |
| 595 | #106 | — | 7 | 4 | no | — |
| 596 | #106 | C22×D7 | 1 | 4 | yes | — |
| 597 | C4⋊C8 | — | 7 | 4 | no | — |
| 598 | C4⋊C8 | — | 7 | 4 | no | — |
| 599 | C4⋊C8 | — | 7 | 2 | no | — |
| 600 | C4⋊C8 | — | 7 | 2 | no | — |
| 601 | C4⋊C8 | C22×D7 | 1 | 2 | yes | — |
| 602 | C4⋊C8 | C22×D7 | 1 | 2 | yes | — |
| 603 | #103 | — | 7 | 4 | no | — |
| 604 | #103 | — | 7 | 4 | no | — |
| 605 | #102 | — | 7 | 4 | no | — |
| 606 | #102 | — | 7 | 4 | no | — |
| 607 | #102 | — | 7 | 4 | no | — |
| 608 | #102 | — | 7 | 4 | no | — |
| 609 | #102 | C22×D7 | 1 | 4 | yes | — |
| 610 | #102 | C22×D7 | 1 | 4 | yes | — |
| 611 | C22×C7 | — | 2 | 1 | no | — |
| 612 | C22×C7 | — | 2 | 1 | no | — |
| 613 | C22×C7 | — | 4 | 2 | no | — |
| 614 | C22×C7 | — | 4 | 2 | no | — |
| 615 | C22×C7 | — | 4 | 2 | no | — |
| 616 | C22×C7 | — | 8 | 4 | no | — |
| 617 | C22×C7 | #537 | 1 | 2 | yes | — |
| 618 | C22×C7 | C23×D4 | 1 | 1 | yes | characteristic |
| 619 | C2×D7 | — | 2 | 2 | no | — |
| 620 | C2×D7 | — | 2 | 2 | no | — |
| 621 | C2×D7 | — | 2 | 2 | no | — |
| 622 | C2×D7 | — | 4 | 2 | no | — |
| 623 | C2×D7 | — | 4 | 2 | no | — |
| 624 | C2×D7 | — | 4 | 2 | no | — |
| 625 | C2×D7 | — | 4 | 2 | no | — |
| 626 | C2×D7 | — | 4 | 2 | no | — |
| 627 | C2×D7 | — | 4 | 2 | no | — |
| 628 | C2×D7 | — | 8 | 2 | no | — |
| 629 | C2×D7 | — | 8 | 4 | no | — |
| 630 | C4×C7 | — | 2 | 1 | no | — |
| 631 | C4×C7 | — | 2 | 1 | no | — |
| 632 | C4×C7 | — | 2 | 1 | no | — |
| 633 | C4×C7 | — | 2 | 1 | no | — |
| 634 | C4×C7 | — | 4 | 2 | no | — |
| 635 | C4×C7 | — | 4 | 2 | no | — |
| 636 | C4×C7 | — | 4 | 2 | no | — |
| 637 | C4×C7 | #537 | 1 | 2 | yes | — |
| 638 | C4×C7 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 639 | C4×C7 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 640 | Dic7 | — | 2 | 2 | no | — |
| 641 | Dic7 | — | 2 | 2 | no | — |
| 642 | Dic7 | — | 2 | 2 | no | — |
| 643 | Dic7 | — | 4 | 2 | no | — |
| 644 | Dic7 | — | 4 | 2 | no | — |
| 645 | C24 | — | 2 | 1 | no | — |
| 646 | C24 | — | 7 | 1 | no | — |
| 647 | C24 | — | 14 | 1 | no | — |
| 648 | #41 | — | 14 | 4 | no | — |
| 649 | #41 | — | 14 | 4 | no | — |
| 650 | C2×Q8 | — | 2 | 1 | no | — |
| 651 | C2×Q8 | — | 2 | 1 | no | — |
| 652 | C2×Q8 | — | 7 | 2 | no | — |
| 653 | C2×D4 | — | 2 | 1 | no | — |
| 654 | C2×D4 | — | 2 | 2 | no | — |
| 655 | C2×D4 | — | 2 | 2 | no | — |
| 656 | C2×D4 | — | 7 | 2 | no | — |
| 657 | C2×D4 | — | 7 | 2 | no | — |
| 658 | C2×D4 | — | 14 | 2 | no | — |
| 659 | C2×D4 | — | 14 | 2 | no | — |
| 660 | C2×D4 | — | 14 | 4 | no | — |
| 661 | C2×D4 | — | 14 | 4 | no | — |
| 662 | C2×D4 | — | 14 | 4 | no | — |
| 663 | C2×D4 | — | 14 | 2 | no | — |
| 664 | C2×D4 | — | 14 | 4 | no | — |
| 665 | C2×D4 | — | 14 | 1 | no | — |
| 666 | C2×D4 | — | 14 | 1 | no | — |
| 667 | C2×D4 | — | 14 | 1 | no | — |
| 668 | C2×D4 | — | 14 | 2 | no | — |
| 669 | C2×D4 | — | 14 | 2 | no | — |
| 670 | C2×D4 | — | 56 | 2 | no | — |
| 671 | C2×D4 | — | 56 | 2 | no | — |
| 672 | C2×D4 | — | 56 | 2 | no | — |
| 673 | C2×D4 | — | 56 | 2 | no | — |
| 674 | C2×D4 | C23×D7 | 1 | 2 | yes | — |
| 675 | C22×C4 | — | 2 | 1 | no | — |
| 676 | C22×C4 | — | 2 | 2 | no | — |
| 677 | C22×C4 | — | 2 | 2 | no | — |
| 678 | C22×C4 | — | 7 | 1 | no | — |
| 679 | C22×C4 | — | 7 | 1 | no | — |
| 680 | C22×C4 | — | 7 | 1 | no | — |
| 681 | C22×C4 | — | 7 | 2 | no | — |
| 682 | C22×C4 | — | 7 | 2 | no | — |
| 683 | C22×C4 | — | 8 | 2 | no | — |
| 684 | C22×C4 | — | 14 | 2 | no | — |
| 685 | C22×C4 | — | 14 | 2 | no | — |
| 686 | C22×C4 | — | 14 | 2 | no | — |
| 687 | C22×C4 | — | 14 | 2 | no | — |
| 688 | C22×C4 | — | 14 | 1 | no | — |
| 689 | C22×C4 | — | 14 | 2 | no | — |
| 690 | C22×C4 | — | 14 | 2 | no | — |
| 691 | C22×C4 | — | 14 | 2 | no | — |
| 692 | C22×C4 | — | 56 | 2 | no | — |
| 693 | C22×C4 | D4×D7 | 1 | 1 | yes | characteristic |
| 694 | C22×C4 | D4×D7 | 1 | 1 | yes | characteristic |
| 695 | C22×C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 696 | SD16 | — | 28 | 4 | no | — |
| 697 | SD16 | — | 28 | 4 | no | — |
| 698 | D8 | — | 28 | 4 | no | — |
| 699 | D8 | — | 28 | 4 | no | — |
| 700 | M16 | — | 2 | 4 | no | — |
| 701 | M16 | — | 14 | 4 | no | — |
| 702 | M16 | — | 28 | 4 | no | — |
| 703 | C2×C8 | — | 7 | 4 | no | — |
| 704 | C2×C8 | — | 28 | 4 | no | — |
| 705 | C2×C8 | C23×D7 | 1 | 4 | yes | — |
| 706 | C4⋊C4 | — | 2 | 1 | no | — |
| 707 | C4⋊C4 | — | 2 | 2 | no | — |
| 708 | C4⋊C4 | — | 2 | 2 | no | — |
| 709 | C4⋊C4 | — | 2 | 1 | no | — |
| 710 | C4⋊C4 | — | 2 | 1 | no | — |
| 711 | C4⋊C4 | — | 7 | 2 | no | — |
| 712 | C4⋊C4 | — | 7 | 2 | no | — |
| 713 | C4⋊C4 | — | 7 | 2 | no | — |
| 714 | C4⋊C4 | — | 7 | 2 | no | — |
| 715 | C4⋊C4 | — | 7 | 2 | no | — |
| 716 | C4⋊C4 | — | 14 | 4 | no | — |
| 717 | C4⋊C4 | — | 14 | 2 | no | — |
| 718 | C4⋊C4 | — | 14 | 2 | no | — |
| 719 | C4⋊C4 | — | 14 | 4 | no | — |
| 720 | C4⋊C4 | — | 14 | 2 | no | — |
| 721 | C4⋊C4 | — | 14 | 2 | no | — |
| 722 | C4⋊C4 | — | 14 | 1 | no | — |
| 723 | C4⋊C4 | — | 14 | 1 | no | — |
| 724 | C4⋊C4 | — | 14 | 1 | no | — |
| 725 | C4⋊C4 | C23×D7 | 1 | 2 | yes | — |
| 726 | C4⋊C4 | C23×D7 | 1 | 2 | yes | — |
| 727 | C4⋊C4 | C23×D7 | 1 | 2 | yes | — |
| 728 | C22⋊C4 | — | 2 | 2 | no | — |
| 729 | C22⋊C4 | — | 2 | 2 | no | — |
| 730 | C22⋊C4 | — | 2 | 2 | no | — |
| 731 | C22⋊C4 | — | 7 | 2 | no | — |
| 732 | C22⋊C4 | — | 7 | 2 | no | — |
| 733 | C22⋊C4 | — | 7 | 2 | no | — |
| 734 | C22⋊C4 | — | 7 | 2 | no | — |
| 735 | C22⋊C4 | — | 14 | 4 | no | — |
| 736 | C22⋊C4 | — | 14 | 2 | no | — |
| 737 | C22⋊C4 | — | 14 | 2 | no | — |
| 738 | C22⋊C4 | — | 14 | 2 | no | — |
| 739 | C22⋊C4 | — | 14 | 2 | no | — |
| 740 | C22⋊C4 | — | 14 | 2 | no | — |
| 741 | C22⋊C4 | — | 14 | 2 | no | — |
| 742 | C22⋊C4 | — | 14 | 4 | no | — |
| 743 | C22⋊C4 | — | 14 | 2 | no | — |
| 744 | C22⋊C4 | — | 14 | 2 | no | — |
| 745 | C22⋊C4 | — | 14 | 2 | no | — |
| 746 | C22⋊C4 | — | 14 | 2 | no | — |
| 747 | C42 | — | 2 | 2 | no | — |
| 748 | C42 | — | 7 | 2 | no | — |
| 749 | C42 | — | 7 | 2 | no | — |
| 750 | C42 | — | 14 | 2 | no | — |
| 751 | C42 | — | 14 | 2 | no | — |
| 752 | C42 | D4×D7 | 1 | 1 | yes | characteristic |
| 753 | C42 | D4×D7 | 1 | 1 | yes | characteristic |
| 754 | C42 | C23×D7 | 1 | 1 | yes | characteristic |
| 755 | C42 | C23×D7 | 1 | 1 | yes | characteristic |
| 756 | C2×C7 | — | 2 | 2 | no | — |
| 757 | C2×C7 | — | 8 | 2 | no | — |
| 758 | C2×C7 | C2×#537 | 1 | 1 | yes | characteristic |
| 759 | C2×C7 | #3585 | 1 | 1 | yes | characteristic |
| 760 | C2×C7 | #3585 | 1 | 1 | yes | characteristic |
| 761 | D7 | — | 4 | 2 | no | — |
| 762 | D7 | — | 8 | 2 | no | — |
| 763 | D7 | — | 8 | 2 | no | — |
| 764 | C23 | — | 2 | 2 | no | — |
| 765 | C23 | — | 4 | 2 | no | — |
| 766 | C23 | — | 4 | 2 | no | — |
| 767 | C23 | — | 4 | 2 | no | — |
| 768 | C23 | — | 7 | 2 | no | — |
| 769 | C23 | — | 14 | 2 | no | — |
| 770 | C23 | — | 14 | 2 | no | — |
| 771 | C23 | — | 14 | 2 | no | — |
| 772 | C23 | — | 28 | 1 | no | — |
| 773 | C23 | — | 28 | 1 | no | — |
| 774 | C23 | — | 28 | 2 | no | — |
| 775 | C23 | — | 28 | 2 | no | — |
| 776 | C23 | — | 28 | 2 | no | — |
| 777 | C23 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 778 | Q8 | — | 8 | 1 | no | — |
| 779 | Q8 | — | 8 | 1 | no | — |
| 780 | Q8 | — | 14 | 2 | no | — |
| 781 | Q8 | — | 14 | 2 | no | — |
| 782 | D4 | — | 2 | 2 | no | — |
| 783 | D4 | — | 2 | 2 | no | — |
| 784 | D4 | — | 4 | 2 | no | — |
| 785 | D4 | — | 14 | 2 | no | — |
| 786 | D4 | — | 14 | 2 | no | — |
| 787 | D4 | — | 14 | 2 | no | — |
| 788 | D4 | — | 14 | 2 | no | — |
| 789 | D4 | — | 28 | 4 | no | — |
| 790 | D4 | — | 28 | 2 | no | — |
| 791 | D4 | — | 56 | 1 | no | — |
| 792 | D4 | — | 56 | 1 | no | — |
| 793 | D4 | — | 56 | 2 | no | — |
| 794 | D4 | — | 56 | 2 | no | — |
| 795 | D4 | — | 56 | 4 | no | — |
| 796 | D4 | — | 56 | 4 | no | — |
| 797 | D4 | — | 56 | 4 | no | — |
| 798 | D4 | — | 56 | 4 | no | — |
| 799 | C2×C4 | — | 2 | 2 | no | — |
| 800 | C2×C4 | — | 2 | 2 | no | — |
| 801 | C2×C4 | — | 2 | 2 | no | — |
| 802 | C2×C4 | — | 4 | 1 | no | — |
| 803 | C2×C4 | — | 4 | 1 | no | — |
| 804 | C2×C4 | — | 4 | 2 | no | — |
| 805 | C2×C4 | — | 7 | 2 | no | — |
| 806 | C2×C4 | — | 7 | 2 | no | — |
| 807 | C2×C4 | — | 7 | 2 | no | — |
| 808 | C2×C4 | — | 8 | 2 | no | — |
| 809 | C2×C4 | — | 8 | 2 | no | — |
| 810 | C2×C4 | — | 14 | 2 | no | — |
| 811 | C2×C4 | — | 14 | 4 | no | — |
| 812 | C2×C4 | — | 14 | 2 | no | — |
| 813 | C2×C4 | — | 14 | 2 | no | — |
| 814 | C2×C4 | — | 14 | 2 | no | — |
| 815 | C2×C4 | — | 14 | 2 | no | — |
| 816 | C2×C4 | — | 28 | 1 | no | — |
| 817 | C2×C4 | — | 28 | 1 | no | — |
| 818 | C2×C4 | — | 28 | 2 | no | — |
| 819 | C2×C4 | — | 28 | 4 | no | — |
| 820 | C2×C4 | — | 56 | 2 | no | — |
| 821 | C2×C4 | — | 56 | 2 | no | — |
| 822 | C2×C4 | — | 56 | 2 | no | — |
| 823 | C2×C4 | — | 56 | 2 | no | — |
| 824 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 825 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 826 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 827 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 828 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 829 | C2×C4 | #6551 | 1 | 2 | yes | — |
| 830 | C2×C4 | #6553 | 1 | 2 | yes | — |
| 831 | C2×C4 | C24×D7 | 1 | 1 | yes | characteristic |
| 832 | C8 | — | 2 | 4 | no | — |
| 833 | C8 | — | 14 | 4 | no | — |
| 834 | C7 | #60920 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 835 | C22 | — | 2 | 1 | no | — |
| 836 | C22 | — | 2 | 1 | no | — |
| 837 | C22 | — | 4 | 2 | no | — |
| 838 | C22 | — | 4 | 2 | no | — |
| 839 | C22 | — | 4 | 2 | no | — |
| 840 | C22 | — | 8 | 4 | no | — |
| 841 | C22 | — | 14 | 2 | no | — |
| 842 | C22 | — | 14 | 2 | no | — |
| 843 | C22 | — | 14 | 2 | no | — |
| 844 | C22 | — | 28 | 2 | no | — |
| 845 | C22 | — | 28 | 2 | no | — |
| 846 | C22 | — | 28 | 2 | no | — |
| 847 | C22 | — | 28 | 2 | no | — |
| 848 | C22 | — | 28 | 2 | no | — |
| 849 | C22 | — | 28 | 2 | no | — |
| 850 | C22 | — | 56 | 2 | no | — |
| 851 | C22 | — | 56 | 4 | no | — |
| 852 | C22 | #90320 | 1 | 2 | yes | — |
| 853 | C22 | C22×D4×D7 | 1 | 1 | yes | characteristic |
| 854 | C4 | — | 2 | 1 | no | — |
| 855 | C4 | — | 2 | 1 | no | — |
| 856 | C4 | — | 2 | 1 | no | — |
| 857 | C4 | — | 2 | 1 | no | — |
| 858 | C4 | — | 4 | 2 | no | — |
| 859 | C4 | — | 4 | 2 | no | — |
| 860 | C4 | — | 4 | 2 | no | — |
| 861 | C4 | — | 14 | 2 | no | — |
| 862 | C4 | — | 14 | 2 | no | — |
| 863 | C4 | — | 14 | 2 | no | — |
| 864 | C4 | — | 28 | 2 | no | — |
| 865 | C4 | — | 28 | 2 | no | — |
| 866 | C4 | #90320 | 1 | 2 | yes | — |
| 867 | C4 | C2×#6551 | 1 | 1 | yes | characteristic |
| 868 | C4 | C2×#6553 | 1 | 1 | yes | characteristic |
| 869 | C2 | — | 2 | 2 | no | — |
| 870 | C2 | — | 8 | 2 | no | — |
| 871 | C2 | — | 28 | 2 | no | — |
| 872 | C2 | — | 56 | 2 | no | — |
| 873 | C2 | — | 56 | 2 | no | — |
| 874 | C2 | C2×#90320 | 1 | 1 | yes | characteristic |
| 875 | C2 | #11744260 | 1 | 1 | yes | characteristic |
| 876 | C2 | #11744268 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11743341 | C2 | semidirect |
| 2. C2×#90253 | C2 | semidirect |
| 3. C7×#3077 | C2 | semidirect |
| 4. #11740795 | C2 | semidirect |
| 5. #11739752 | C2 | semidirect |
| 6. #11738630 | C2 | semidirect |
| 7. #11738629 | C2 | semidirect |
| 8. #11738495 | C2 | semidirect |
| 9. #11738399 | C2 | semidirect |
| 10. #11736686 | C2 | semidirect |
| 11. #11736656 | C2 | semidirect |
| 12. #11736500 | C2 | semidirect |
| 13. #11736493 | C2 | semidirect |
| 14. #11736387 | C2 | semidirect |
| 15. #11736375 | C2 | semidirect |
| 25. #90424 | C22 | semidirect |
| 26. #90424 | C22 | semidirect |
| 27. #90389 | C22 | semidirect |
| 28. #90388 | C22 | semidirect |
| 48. C7×#478 | C22 | semidirect |
| 49. C7×#476 | C22 | semidirect |
| 50. C7×#474 | C22 | semidirect |
| 56. #89859 | C22 | semidirect |
| 57. #89856 | C22 | semidirect |
| 58. #89838 | C22 | semidirect |
| 59. #89791 | C22 | semidirect |
| 60. #89788 | C22 | semidirect |
| 61. #89787 | C22 | semidirect |
| 66. #89663 | C22 | semidirect |
| 67. #89658 | C22 | semidirect |
| 68. #89655 | C22 | semidirect |
| 69. #89649 | C22 | semidirect |
| 70. #89643 | C22 | semidirect |
| 71. #89637 | C22 | semidirect |
| 72. #89636 | C22 | semidirect |
| 73. #89629 | C22 | semidirect |
| 74. #89616 | C22 | semidirect |
| 75. #89615 | C22 | semidirect |
| 76. #89613 | C22 | semidirect |
| 77. #89611 | C22 | semidirect |
| 78. #89611 | C22 | semidirect |
| 79. #89558 | C22 | semidirect |
| 80. #89558 | C22 | semidirect |
| 81. #89554 | C22 | semidirect |
| 82. #89552 | C22 | semidirect |
| 83. #89550 | C22 | semidirect |
| 84. #89547 | C22 | semidirect |
| 85. #89534 | C22 | semidirect |
| 86. #89534 | C22 | semidirect |
| 224. #3077 | D7 | semidirect |
| 379. #478 | C2×D7 | semidirect |
| 381. #476 | C2×D7 | semidirect |
| 383. #474 | C2×D7 | semidirect |
| 834. C7 | #60920 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11743341 | 2 |
| C2×#90253 | 2 |
| C7×#3077 | 2 |
| #11740795 | 2 |
| #11739752 | 2 |
| #11738630 | 2 |
| #11738629 | 2 |
| #11738495 | 2 |
| #11738399 | 2 |
| #11736686 | 2 |
| #11736656 | 2 |
| #11736500 | 2 |
| #11736493 | 2 |
| #11736387 | 2 |
| #11736375 | 2 |
| #60920 | 7 |