Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
2710 conjugacy classes of subgroups.
The subgroup lattice has 1040 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#90470 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C22×#6479 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11743383 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11742942 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C7×#3043 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11741425 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11741305 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11740827 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11739994 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11738059 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #11738057 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #11737852 | C2 | 1 | 4 | yes | maximal, complemented |
| 13 | #11737839 | C2 | 1 | 4 | yes | maximal, complemented |
| 14 | #11736544 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11736518 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #11736377 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #11736372 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #11736283 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 19 | #11736281 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | C2×#6554 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#6551 | C22 | 1 | 1 | yes | characteristic |
| 22 | C22×#1161 | C22 | 1 | 1 | yes | characteristic |
| 23 | C22×#1159 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×C7×#137 | C22 | 1 | 1 | yes | characteristic |
| 25 | C22×C7×SD16 | C22 | 1 | 1 | yes | characteristic |
| 26 | C7×#535 | C22 | 1 | 1 | yes | characteristic |
| 27 | C7×#519 | C22 | 1 | 1 | yes | characteristic |
| 28 | #90519 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×#6513 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#6512 | C22 | 1 | 1 | yes | characteristic |
| 31 | C22×#1144 | C22 | 1 | 1 | yes | characteristic |
| 32 | #90496 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#6495 | C22 | 1 | 1 | yes | characteristic |
| 34 | C22×#1141 | C22 | 1 | 1 | yes | characteristic |
| 35 | #90470 | — | 2 | 8 | no | — |
| 36 | C2×#6481 | C22 | 1 | 2 | yes | complemented |
| 37 | C2×D7×Q16 | C22 | 1 | 2 | yes | complemented |
| 38 | C2×#6479 | — | 2 | 8 | no | — |
| 39 | C2×#6479 | C22 | 1 | 4 | yes | — |
| 40 | C2×#6479 | C22 | 1 | 4 | yes | — |
| 41 | C2×#6479 | C22 | 1 | 2 | yes | complemented |
| 42 | C2×#6478 | C22 | 1 | 2 | yes | complemented |
| 43 | C2×#6472 | C22 | 1 | 1 | yes | characteristic |
| 44 | C2×#6470 | C22 | 1 | 1 | yes | characteristic |
| 45 | C22×#1132 | C22 | 1 | 1 | yes | characteristic |
| 46 | C22×C8×D7 | C22 | 1 | 1 | yes | characteristic |
| 47 | #90409 | C22 | 1 | 4 | yes | complemented |
| 48 | #90368 | C22 | 1 | 4 | yes | complemented |
| 49 | #90290 | — | 2 | 2 | no | — |
| 50 | #90289 | — | 2 | 2 | no | — |
| 51 | #90283 | — | 2 | 2 | no | — |
| 52 | #90277 | — | 2 | 2 | no | — |
| 53 | #90268 | — | 2 | 2 | no | — |
| 54 | #90268 | C22 | 1 | 4 | yes | complemented |
| 55 | #90267 | — | 2 | 2 | no | — |
| 56 | #90267 | C22 | 1 | 4 | yes | complemented |
| 57 | #90216 | — | 2 | 2 | no | — |
| 58 | #90216 | C22 | 1 | 1 | yes | characteristic |
| 59 | #90216 | C22 | 1 | 1 | yes | characteristic |
| 60 | #90215 | — | 2 | 2 | no | — |
| 61 | #90215 | C22 | 1 | 1 | yes | characteristic |
| 62 | #90215 | C22 | 1 | 1 | yes | characteristic |
| 63 | #90207 | C22 | 1 | 1 | yes | characteristic |
| 64 | C7×#464 | C22 | 1 | 4 | yes | complemented |
| 65 | C7×#460 | C22 | 1 | 4 | yes | complemented |
| 66 | C7×#424 | C22 | 1 | 1 | yes | characteristic |
| 67 | C7×#418 | C22 | 1 | 1 | yes | characteristic |
| 68 | C7×#416 | C22 | 1 | 1 | yes | characteristic |
| 69 | #89997 | C22 | 1 | 1 | yes | characteristic |
| 70 | #89959 | C22 | 1 | 4 | yes | complemented |
| 71 | #89944 | C22 | 1 | 4 | yes | complemented |
| 72 | #89944 | C22 | 1 | 4 | yes | complemented |
| 73 | #89942 | C22 | 1 | 4 | yes | complemented |
| 74 | #89903 | C22 | 1 | 1 | yes | characteristic |
| 75 | #89898 | C22 | 1 | 1 | yes | characteristic |
| 76 | #89885 | C22 | 1 | 1 | yes | characteristic |
| 77 | #89882 | C22 | 1 | 1 | yes | characteristic |
| 78 | #89846 | C22 | 1 | 2 | yes | complemented |
| 79 | #89845 | C22 | 1 | 2 | yes | complemented |
| 80 | #89831 | C22 | 1 | 2 | yes | complemented |
| 81 | #89830 | C22 | 1 | 2 | yes | complemented |
| 82 | #89802 | C22 | 1 | 4 | yes | complemented |
| 83 | C4×#1144 | C22 | 1 | 4 | yes | complemented |
| 84 | #89776 | C22 | 1 | 1 | yes | characteristic |
| 85 | #89770 | C22 | 1 | 1 | yes | characteristic |
| 86 | #89769 | C22 | 1 | 1 | yes | characteristic |
| 87 | #89620 | C22 | 1 | 4 | yes | complemented |
| 88 | #89617 | C22 | 1 | 4 | yes | complemented |
| 89 | #89608 | C22 | 1 | 4 | yes | complemented |
| 90 | #89606 | C22 | 1 | 4 | yes | complemented |
| 91 | #89585 | C22 | 1 | 2 | yes | complemented |
| 92 | #89579 | C22 | 1 | 2 | yes | complemented |
| 93 | #89578 | C22 | 1 | 4 | yes | complemented |
| 94 | #89555 | C22 | 1 | 4 | yes | complemented |
| 95 | #89554 | C22 | 1 | 4 | yes | complemented |
| 96 | #89553 | C22 | 1 | 4 | yes | complemented |
| 97 | #89553 | C22 | 1 | 4 | yes | complemented |
| 98 | #89550 | C22 | 1 | 2 | yes | complemented |
| 99 | #89547 | C22 | 1 | 4 | yes | complemented |
| 100 | #89547 | C22 | 1 | 2 | yes | complemented |
| 101 | #61054 | — | 7 | 1 | no | maximal, Sylow |
| 102 | C2×C7×#41 | C23 | 1 | 1 | yes | characteristic |
| 103 | C22×C7×Q8 | C23 | 1 | 1 | yes | characteristic |
| 104 | C22×C7×D4 | C23 | 1 | 1 | yes | characteristic |
| 105 | C22×C22⋊D7 | — | 2 | 1 | no | — |
| 106 | C23×Dic7 | — | 2 | 1 | no | — |
| 107 | #6554 | — | 2 | 4 | no | — |
| 108 | #6554 | — | 4 | 2 | no | — |
| 109 | #6551 | — | 2 | 4 | no | — |
| 110 | #6551 | — | 4 | 2 | no | — |
| 111 | C2×#1161 | — | 2 | 1 | no | — |
| 112 | C2×#1161 | — | 2 | 2 | no | — |
| 113 | C2×#1161 | — | 2 | 4 | no | — |
| 114 | C2×#1161 | — | 4 | 2 | no | — |
| 115 | C2×#1161 | C23 | 1 | 4 | yes | — |
| 116 | C2×#1161 | C23 | 1 | 2 | yes | — |
| 117 | C2×Q8×D7 | — | 2 | 1 | no | — |
| 118 | C2×Q8×D7 | C23 | 1 | 2 | yes | — |
| 119 | C2×Q8×D7 | C23 | 1 | 2 | yes | — |
| 120 | C2×#1159 | — | 2 | 2 | no | — |
| 121 | C2×#1159 | — | 2 | 2 | no | — |
| 122 | C2×#1159 | — | 2 | 4 | no | — |
| 123 | C2×#1159 | — | 4 | 2 | no | — |
| 124 | C2×#1159 | C23 | 1 | 4 | yes | — |
| 125 | C2×#1159 | C23 | 1 | 2 | yes | — |
| 126 | C2×#1157 | — | 2 | 2 | no | — |
| 127 | C2×#1157 | — | 2 | 1 | no | — |
| 128 | C2×#1157 | C23 | 1 | 1 | yes | characteristic |
| 129 | C2×#1157 | C23 | 1 | 1 | yes | characteristic |
| 130 | C22×D28 | — | 2 | 1 | no | — |
| 131 | C22×D28 | C23 | 1 | 1 | yes | characteristic |
| 132 | C22×C4×D7 | — | 2 | 1 | no | — |
| 133 | C22×C4×D7 | C23 | 1 | 1 | yes | characteristic |
| 134 | C22×Dic14 | — | 2 | 1 | no | — |
| 135 | C22×Dic14 | C23 | 1 | 1 | yes | characteristic |
| 136 | C7×#137 | — | 2 | 4 | no | — |
| 137 | C2×C7×Q16 | C23 | 1 | 2 | yes | — |
| 138 | C2×C7×SD16 | — | 2 | 4 | no | — |
| 139 | C2×C7×SD16 | C23 | 1 | 2 | yes | — |
| 140 | C2×C7×SD16 | C23 | 1 | 4 | yes | — |
| 141 | C2×C7×M16 | C23 | 1 | 1 | yes | characteristic |
| 142 | C22×C7×C8 | C23 | 1 | 1 | yes | characteristic |
| 143 | C7×#127 | C23 | 1 | 2 | yes | — |
| 144 | C7×#124 | C23 | 1 | 2 | yes | — |
| 145 | C7×#121 | — | 2 | 2 | no | — |
| 146 | C7×#120 | — | 2 | 2 | no | — |
| 147 | C4×C7×Q8 | — | 2 | 2 | no | — |
| 148 | C4×C7×Q8 | C23 | 1 | 4 | yes | — |
| 149 | C7×#117 | — | 2 | 2 | no | — |
| 150 | C7×#117 | C23 | 1 | 1 | yes | characteristic |
| 151 | C7×#117 | C23 | 1 | 1 | yes | characteristic |
| 152 | #6516 | — | 2 | 2 | no | — |
| 153 | #6513 | — | 2 | 4 | no | — |
| 154 | #6512 | — | 4 | 2 | no | — |
| 155 | #6509 | C23 | 1 | 2 | yes | — |
| 156 | C2×#1144 | D4 | 1 | 8 | yes | complemented |
| 157 | C2×#1144 | C23 | 1 | 1 | yes | characteristic |
| 158 | C2×#1144 | C23 | 1 | 2 | yes | — |
| 159 | C2×#1144 | C23 | 1 | 2 | yes | — |
| 160 | C2×#1143 | C23 | 1 | 1 | yes | characteristic |
| 161 | C2×#1143 | C23 | 1 | 2 | yes | — |
| 162 | #6503 | — | 2 | 4 | no | — |
| 163 | #6503 | — | 2 | 1 | no | — |
| 164 | #6502 | — | 2 | 4 | no | — |
| 165 | #6502 | — | 2 | 4 | no | — |
| 166 | #6501 | C23 | 1 | 4 | yes | — |
| 167 | #6501 | C23 | 1 | 2 | yes | — |
| 168 | #6500 | — | 2 | 1 | no | — |
| 169 | #6499 | — | 2 | 1 | no | — |
| 170 | #6498 | — | 2 | 1 | no | — |
| 171 | D4×Dic7 | — | 2 | 4 | no | — |
| 172 | C2×#1142 | C23 | 1 | 1 | yes | characteristic |
| 173 | C2×#1142 | C23 | 1 | 2 | yes | — |
| 174 | #6495 | — | 4 | 2 | no | — |
| 175 | C2×#1141 | — | 2 | 4 | no | — |
| 176 | C2×#1141 | C23 | 1 | 2 | yes | — |
| 177 | C2×#1141 | C23 | 1 | 2 | yes | — |
| 178 | C2×#1141 | C23 | 1 | 1 | yes | characteristic |
| 179 | C2×#1141 | C23 | 1 | 2 | yes | — |
| 180 | C2×#1141 | C23 | 1 | 2 | yes | — |
| 181 | C4×C22⋊D7 | — | 2 | 2 | no | — |
| 182 | #6489 | C23 | 1 | 1 | yes | characteristic |
| 183 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 184 | C22×C7⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 185 | #6481 | — | 2 | 8 | no | — |
| 186 | D7×Q16 | — | 2 | 8 | no | — |
| 187 | #6479 | — | 2 | 16 | no | — |
| 188 | #6479 | — | 2 | 16 | no | — |
| 189 | #6479 | — | 2 | 8 | no | — |
| 190 | #6478 | — | 2 | 8 | no | — |
| 191 | #6472 | — | 2 | 4 | no | — |
| 192 | #6470 | — | 2 | 4 | no | — |
| 193 | C2×Dic28 | C23 | 1 | 2 | yes | — |
| 194 | C2×#1132 | — | 2 | 4 | no | — |
| 195 | C2×#1132 | C23 | 1 | 4 | yes | — |
| 196 | C2×#1132 | C23 | 1 | 2 | yes | — |
| 197 | C2×#1131 | C23 | 1 | 2 | yes | — |
| 198 | C2×C8×D7 | — | 2 | 4 | no | — |
| 199 | C2×C8×D7 | C23 | 1 | 2 | yes | — |
| 200 | C2×C8×D7 | C23 | 1 | 2 | yes | — |
| 201 | C2×C8×D7 | C23 | 1 | 2 | yes | — |
| 202 | #6460 | — | 2 | 4 | no | — |
| 203 | #6460 | D4 | 1 | 2 | yes | — |
| 204 | #6460 | C23 | 1 | 2 | yes | — |
| 205 | #6458 | — | 2 | 4 | no | — |
| 206 | #6458 | — | 2 | 2 | no | — |
| 207 | #6458 | — | 2 | 4 | no | — |
| 208 | #6458 | — | 2 | 4 | no | — |
| 209 | #6458 | D4 | 1 | 2 | yes | — |
| 210 | #6458 | C23 | 1 | 2 | yes | — |
| 211 | #6458 | C23 | 1 | 4 | yes | — |
| 212 | #6450 | — | 2 | 2 | no | — |
| 213 | #6449 | — | 2 | 1 | no | — |
| 214 | #6449 | D4 | 1 | 2 | yes | — |
| 215 | #6448 | — | 2 | 4 | no | — |
| 216 | #6447 | — | 2 | 4 | no | — |
| 217 | #6445 | — | 2 | 1 | no | — |
| 218 | #6445 | — | 2 | 2 | no | — |
| 219 | #6445 | — | 2 | 2 | no | — |
| 220 | #6445 | D4 | 1 | 2 | yes | — |
| 221 | (C22⋊D7)⋊C4 | — | 2 | 4 | no | — |
| 222 | #6441 | — | 2 | 4 | no | — |
| 223 | #6440 | — | 2 | 2 | no | — |
| 224 | #6438 | — | 2 | 1 | no | — |
| 225 | #6438 | — | 2 | 4 | no | — |
| 226 | #6438 | C23 | 1 | 2 | yes | — |
| 227 | #6437 | — | 2 | 4 | no | — |
| 228 | #6437 | — | 2 | 1 | no | — |
| 229 | #6437 | C23 | 1 | 2 | yes | — |
| 230 | C4×D28 | — | 2 | 2 | no | — |
| 231 | C4×D28 | — | 2 | 4 | no | — |
| 232 | C4×D28 | — | 2 | 4 | no | — |
| 233 | C4×D28 | C23 | 1 | 4 | yes | — |
| 234 | C4×Dic14 | C23 | 1 | 4 | yes | — |
| 235 | C7×C4⋊C8 | C23 | 1 | 4 | yes | — |
| 236 | C7×#103 | C23 | 1 | 2 | yes | — |
| 237 | C7×#102 | C23 | 1 | 2 | yes | — |
| 238 | C7×#102 | C23 | 1 | 4 | yes | — |
| 239 | #6409 | C23 | 1 | 4 | yes | — |
| 240 | #6395 | C23 | 1 | 4 | yes | — |
| 241 | #6395 | C23 | 1 | 2 | yes | — |
| 242 | (C2×D7)⋊C8 | C23 | 1 | 4 | yes | — |
| 243 | (C2×D7)⋊C8 | C23 | 1 | 4 | yes | — |
| 244 | #6390 | C23 | 1 | 2 | yes | — |
| 245 | #6384 | C23 | 1 | 4 | yes | — |
| 246 | #6382 | C23 | 1 | 2 | yes | — |
| 247 | #6381 | C23 | 1 | 2 | yes | — |
| 248 | #6377 | C23 | 1 | 2 | yes | — |
| 249 | C4×C7⋊C8 | C23 | 1 | 2 | yes | — |
| 250 | C2×#578 | — | 7 | 1 | no | — |
| 251 | C22×#135 | — | 7 | 1 | no | — |
| 252 | #3487 | — | 7 | 1 | no | — |
| 253 | #3487 | — | 7 | 1 | no | — |
| 254 | #3287 | — | 7 | 4 | no | — |
| 255 | #3285 | — | 7 | 4 | no | — |
| 256 | #3271 | — | 7 | 4 | no | — |
| 257 | #3271 | — | 7 | 4 | no | — |
| 258 | #3155 | — | 7 | 1 | no | — |
| 259 | #3058 | — | 7 | 1 | no | — |
| 260 | #3050 | — | 7 | 1 | no | — |
| 261 | #3043 | — | 7 | 1 | no | — |
| 262 | #3043 | D7 | 1 | 1 | yes | characteristic, complemented |
| 263 | #3010 | — | 7 | 1 | no | — |
| 264 | #3010 | — | 7 | 1 | no | — |
| 265 | #3005 | — | 7 | 1 | no | — |
| 266 | #3005 | — | 7 | 1 | no | — |
| 267 | #2950 | — | 7 | 1 | no | — |
| 268 | #2929 | — | 7 | 1 | no | — |
| 269 | C24×C7 | — | 2 | 1 | no | — |
| 270 | C23×D7 | — | 2 | 1 | no | — |
| 271 | C23×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 272 | C7×#41 | — | 2 | 2 | no | — |
| 273 | C7×#41 | — | 2 | 2 | no | — |
| 274 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 275 | C2×C7×Q8 | — | 2 | 2 | no | — |
| 276 | C2×C7×Q8 | C2×D4 | 1 | 4 | yes | — |
| 277 | C2×C7×Q8 | C24 | 1 | 1 | yes | characteristic |
| 278 | C2×C7×Q8 | C24 | 1 | 2 | yes | — |
| 279 | C2×C7×D4 | — | 2 | 1 | no | — |
| 280 | C2×C7×D4 | — | 2 | 2 | no | — |
| 281 | C2×C7×D4 | — | 2 | 1 | no | — |
| 282 | C2×C7×D4 | — | 2 | 4 | no | — |
| 283 | C2×C7×D4 | — | 2 | 2 | no | — |
| 284 | C2×C7×D4 | C24 | 1 | 2 | yes | — |
| 285 | C2×C7×D4 | C24 | 1 | 1 | yes | characteristic |
| 286 | C22×C4×C7 | — | 2 | 1 | no | — |
| 287 | C22×C4×C7 | — | 2 | 1 | no | — |
| 288 | C22×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 289 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 290 | C2×C22⋊D7 | — | 2 | 4 | no | — |
| 291 | C2×C22⋊D7 | — | 2 | 2 | no | — |
| 292 | C2×C22⋊D7 | — | 2 | 4 | no | — |
| 293 | C2×C22⋊D7 | — | 2 | 2 | no | — |
| 294 | C2×C22⋊D7 | — | 4 | 4 | no | — |
| 295 | C2×C22⋊D7 | C2×D4 | 1 | 2 | yes | — |
| 296 | C22×Dic7 | — | 2 | 1 | no | — |
| 297 | C22×Dic7 | — | 2 | 4 | no | — |
| 298 | C22×Dic7 | — | 2 | 2 | no | — |
| 299 | C22×Dic7 | — | 4 | 4 | no | — |
| 300 | C22×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 301 | #1161 | — | 2 | 8 | no | — |
| 302 | #1161 | — | 2 | 4 | no | — |
| 303 | #1161 | — | 4 | 4 | no | — |
| 304 | #1161 | — | 4 | 2 | no | — |
| 305 | #1161 | — | 4 | 8 | no | — |
| 306 | #1161 | — | 4 | 4 | no | — |
| 307 | Q8×D7 | — | 2 | 4 | no | — |
| 308 | Q8×D7 | — | 2 | 4 | no | — |
| 309 | Q8×D7 | — | 4 | 2 | no | — |
| 310 | Q8×D7 | — | 4 | 2 | no | — |
| 311 | Q8×D7 | — | 4 | 4 | no | — |
| 312 | #1159 | — | 2 | 4 | no | — |
| 313 | #1159 | — | 2 | 8 | no | — |
| 314 | #1159 | — | 4 | 4 | no | — |
| 315 | #1159 | — | 4 | 2 | no | — |
| 316 | #1159 | — | 4 | 8 | no | — |
| 317 | #1159 | — | 4 | 8 | no | — |
| 318 | #1157 | — | 2 | 2 | no | — |
| 319 | #1157 | — | 2 | 2 | no | — |
| 320 | #1157 | — | 2 | 2 | no | — |
| 321 | #1157 | — | 2 | 2 | no | — |
| 322 | #1157 | — | 4 | 4 | no | — |
| 323 | #1157 | — | 4 | 8 | no | — |
| 324 | C2×D28 | — | 2 | 2 | no | — |
| 325 | C2×D28 | — | 2 | 2 | no | — |
| 326 | C2×D28 | — | 2 | 2 | no | — |
| 327 | C2×D28 | — | 2 | 4 | no | — |
| 328 | C2×D28 | — | 2 | 1 | no | — |
| 329 | C2×D28 | — | 2 | 4 | no | — |
| 330 | C2×D28 | — | 2 | 2 | no | — |
| 331 | C2×D28 | — | 2 | 4 | no | — |
| 332 | C2×D28 | — | 4 | 4 | no | — |
| 333 | C2×D28 | C2×D4 | 1 | 1 | yes | characteristic |
| 334 | C2×D28 | C2×D4 | 1 | 4 | yes | — |
| 335 | C2×D28 | C24 | 1 | 1 | yes | characteristic |
| 336 | C2×D28 | C24 | 1 | 2 | yes | — |
| 337 | C2×C4×D7 | — | 2 | 2 | no | — |
| 338 | C2×C4×D7 | — | 2 | 2 | no | — |
| 339 | C2×C4×D7 | — | 2 | 2 | no | — |
| 340 | C2×C4×D7 | — | 2 | 2 | no | — |
| 341 | C2×C4×D7 | — | 2 | 1 | no | — |
| 342 | C2×C4×D7 | — | 2 | 2 | no | — |
| 343 | C2×C4×D7 | — | 2 | 4 | no | — |
| 344 | C2×C4×D7 | — | 4 | 4 | no | — |
| 345 | C2×C4×D7 | C2×D4 | 1 | 2 | yes | — |
| 346 | C2×C4×D7 | C24 | 1 | 2 | yes | — |
| 347 | C2×C4×D7 | C24 | 1 | 2 | yes | — |
| 348 | C2×Dic14 | — | 2 | 1 | no | — |
| 349 | C2×Dic14 | — | 2 | 2 | no | — |
| 350 | C2×Dic14 | — | 2 | 2 | no | — |
| 351 | C2×Dic14 | — | 2 | 2 | no | — |
| 352 | C2×Dic14 | — | 4 | 4 | no | — |
| 353 | C2×Dic14 | C2×D4 | 1 | 1 | yes | characteristic |
| 354 | C2×Dic14 | C2×D4 | 1 | 4 | yes | — |
| 355 | C2×Dic14 | C24 | 1 | 1 | yes | characteristic |
| 356 | C2×Dic14 | C24 | 1 | 2 | yes | — |
| 357 | C7×Q16 | — | 2 | 4 | no | — |
| 358 | C7×SD16 | — | 2 | 4 | no | — |
| 359 | C7×SD16 | — | 2 | 8 | no | — |
| 360 | C7×M16 | — | 2 | 2 | no | — |
| 361 | C2×C7×C8 | — | 2 | 2 | no | — |
| 362 | C2×C7×C8 | C24 | 1 | 2 | yes | — |
| 363 | C2×C7×C8 | C24 | 1 | 2 | yes | — |
| 364 | C7×C4⋊C4 | — | 2 | 4 | no | — |
| 365 | C7×C4⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 366 | C7×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 367 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 368 | C7×C22⋊C4 | — | 2 | 4 | no | — |
| 369 | C7×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 370 | C42×C7 | — | 2 | 4 | no | — |
| 371 | C42×C7 | — | 2 | 1 | no | — |
| 372 | C42×C7 | C24 | 1 | 2 | yes | — |
| 373 | C22⋊Dic7 | — | 2 | 1 | no | — |
| 374 | C22⋊Dic7 | — | 2 | 4 | no | — |
| 375 | C22⋊Dic7 | — | 2 | 2 | no | — |
| 376 | #1144 | — | 2 | 2 | no | — |
| 377 | #1144 | C2×D4 | 1 | 8 | yes | — |
| 378 | #1144 | C2×D4 | 1 | 8 | yes | — |
| 379 | #1143 | — | 2 | 2 | no | — |
| 380 | #1143 | — | 4 | 2 | no | — |
| 381 | #1142 | — | 2 | 2 | no | — |
| 382 | #1142 | — | 4 | 2 | no | — |
| 383 | #1141 | — | 2 | 4 | no | — |
| 384 | #1141 | — | 2 | 4 | no | — |
| 385 | #1141 | — | 2 | 2 | no | — |
| 386 | #1141 | — | 4 | 2 | no | — |
| 387 | #1141 | — | 4 | 2 | no | — |
| 388 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 389 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 390 | (C2×D7)⋊C4 | — | 2 | 4 | no | — |
| 391 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 392 | (C2×D7)⋊C4 | — | 2 | 4 | no | — |
| 393 | (C2×D7)⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 394 | (C2×D7)⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 395 | C4⋊Dic7 | — | 2 | 2 | no | — |
| 396 | C4⋊Dic7 | C2×D4 | 1 | 4 | yes | — |
| 397 | C4⋊Dic7 | C24 | 1 | 2 | yes | — |
| 398 | Dic7⋊C4 | — | 2 | 4 | no | — |
| 399 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 400 | C4×Dic7 | — | 2 | 4 | no | — |
| 401 | C4×Dic7 | — | 2 | 1 | no | — |
| 402 | #1136 | — | 2 | 2 | no | — |
| 403 | C2×C7⋊C8 | C2×D4 | 1 | 4 | yes | — |
| 404 | C2×C7⋊C8 | C24 | 1 | 2 | yes | — |
| 405 | C2×C7⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 406 | C2×C7⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 407 | Dic28 | — | 2 | 4 | no | — |
| 408 | #1132 | — | 2 | 8 | no | — |
| 409 | #1132 | — | 2 | 4 | no | — |
| 410 | #1131 | — | 2 | 4 | no | — |
| 411 | C8×D7 | — | 2 | 4 | no | — |
| 412 | C8×D7 | — | 2 | 4 | no | — |
| 413 | C8×D7 | — | 2 | 4 | no | — |
| 414 | C2×2−1+4 | — | 7 | 1 | no | — |
| 415 | C2×2−1+4 | — | 7 | 1 | no | — |
| 416 | C22×#41 | — | 7 | 1 | no | — |
| 417 | C22×#41 | — | 7 | 1 | no | — |
| 418 | #578 | — | 14 | 8 | no | — |
| 419 | C2×#137 | — | 7 | 2 | no | — |
| 420 | C2×#137 | — | 7 | 2 | no | — |
| 421 | C2×#137 | — | 7 | 1 | no | — |
| 422 | C2×#137 | C2×D7 | 1 | 1 | yes | characteristic |
| 423 | C2×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 424 | C2×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 425 | C2×#135 | — | 7 | 1 | no | — |
| 426 | C2×#135 | — | 7 | 4 | no | — |
| 427 | C2×#135 | — | 7 | 4 | no | — |
| 428 | C2×#135 | — | 7 | 2 | no | — |
| 429 | C2×#135 | — | 14 | 8 | no | — |
| 430 | C22×Q16 | — | 7 | 1 | no | — |
| 431 | C22×Q16 | — | 7 | 2 | no | — |
| 432 | C22×SD16 | — | 7 | 1 | no | — |
| 433 | C22×SD16 | C2×D7 | 1 | 1 | yes | characteristic |
| 434 | C22×D8 | — | 7 | 1 | no | — |
| 435 | C2×#131 | — | 7 | 1 | no | — |
| 436 | C23×C8 | — | 7 | 1 | no | — |
| 437 | #550 | — | 7 | 4 | no | — |
| 438 | #550 | — | 7 | 4 | no | — |
| 439 | #550 | — | 14 | 2 | no | — |
| 440 | #550 | — | 14 | 2 | no | — |
| 441 | #548 | — | 7 | 4 | no | — |
| 442 | #548 | — | 7 | 4 | no | — |
| 443 | #548 | — | 14 | 2 | no | — |
| 444 | #548 | — | 14 | 2 | no | — |
| 445 | #535 | — | 7 | 1 | no | — |
| 446 | #535 | — | 7 | 1 | no | — |
| 447 | #535 | — | 7 | 1 | no | — |
| 448 | #535 | — | 14 | 2 | no | — |
| 449 | #535 | — | 14 | 2 | no | — |
| 450 | #535 | C2×D7 | 1 | 1 | yes | characteristic |
| 451 | #525 | — | 7 | 1 | no | — |
| 452 | #525 | — | 7 | 1 | no | — |
| 453 | #525 | — | 7 | 1 | no | — |
| 454 | #525 | — | 14 | 2 | no | — |
| 455 | #525 | — | 14 | 2 | no | — |
| 456 | #519 | — | 7 | 1 | no | — |
| 457 | #519 | C2×D7 | 1 | 1 | yes | characteristic |
| 458 | #496 | — | 7 | 2 | no | — |
| 459 | #496 | — | 7 | 2 | no | — |
| 460 | #495 | — | 7 | 2 | no | — |
| 461 | #493 | — | 7 | 2 | no | — |
| 462 | #469 | — | 7 | 4 | no | — |
| 463 | #467 | — | 7 | 2 | no | — |
| 464 | #466 | — | 7 | 4 | no | — |
| 465 | #466 | — | 7 | 2 | no | — |
| 466 | #465 | — | 7 | 2 | no | — |
| 467 | #465 | — | 7 | 2 | no | — |
| 468 | #464 | — | 7 | 4 | no | — |
| 469 | #464 | C2×D7 | 1 | 4 | yes | complemented |
| 470 | #460 | — | 7 | 4 | no | — |
| 471 | #460 | C2×D7 | 1 | 4 | yes | complemented |
| 472 | #452 | — | 7 | 4 | no | — |
| 473 | #452 | — | 7 | 4 | no | — |
| 474 | #449 | — | 7 | 4 | no | — |
| 475 | #449 | — | 7 | 4 | no | — |
| 476 | #449 | — | 7 | 4 | no | — |
| 477 | #449 | — | 7 | 4 | no | — |
| 478 | #448 | — | 7 | 4 | no | — |
| 479 | #448 | — | 7 | 4 | no | — |
| 480 | #441 | — | 7 | 4 | no | — |
| 481 | C4×Q16 | — | 7 | 4 | no | — |
| 482 | #435 | — | 7 | 4 | no | — |
| 483 | C8×D4 | — | 7 | 4 | no | — |
| 484 | #427 | — | 7 | 1 | no | — |
| 485 | #424 | C2×D7 | 1 | 1 | yes | characteristic |
| 486 | #419 | — | 7 | 1 | no | — |
| 487 | #419 | — | 7 | 1 | no | — |
| 488 | #418 | — | 7 | 1 | no | — |
| 489 | #418 | C2×D7 | 1 | 1 | yes | characteristic |
| 490 | #416 | — | 7 | 1 | no | — |
| 491 | #416 | C2×D7 | 1 | 1 | yes | characteristic |
| 492 | #408 | — | 7 | 1 | no | — |
| 493 | #407 | — | 7 | 1 | no | — |
| 494 | #405 | — | 7 | 1 | no | — |
| 495 | C23×C7 | — | 2 | 2 | no | — |
| 496 | C23×C7 | — | 2 | 1 | no | — |
| 497 | C23×C7 | — | 4 | 2 | no | — |
| 498 | C23×C7 | — | 8 | 2 | no | — |
| 499 | C23×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 500 | C22×D7 | — | 2 | 2 | no | — |
| 501 | C22×D7 | — | 2 | 2 | no | — |
| 502 | C22×D7 | — | 2 | 1 | no | — |
| 503 | C22×D7 | — | 4 | 2 | no | — |
| 504 | C22×D7 | — | 4 | 2 | no | — |
| 505 | C22×D7 | — | 8 | 2 | no | — |
| 506 | C22×D7 | C22×D4 | 1 | 2 | yes | — |
| 507 | C22×D7 | C22×D4 | 1 | 2 | yes | — |
| 508 | C7×Q8 | — | 2 | 4 | no | — |
| 509 | C7×Q8 | — | 2 | 2 | no | — |
| 510 | C7×Q8 | — | 2 | 1 | no | — |
| 511 | C7×Q8 | — | 2 | 1 | no | — |
| 512 | C7×Q8 | C22×D4 | 1 | 4 | yes | — |
| 513 | C7×D4 | — | 2 | 2 | no | — |
| 514 | C7×D4 | — | 2 | 1 | no | — |
| 515 | C7×D4 | — | 2 | 1 | no | — |
| 516 | C7×D4 | — | 2 | 2 | no | — |
| 517 | C7×D4 | — | 4 | 2 | no | — |
| 518 | C7×D4 | — | 4 | 2 | no | — |
| 519 | C7×D4 | — | 8 | 4 | no | — |
| 520 | C2×C4×C7 | — | 2 | 4 | no | — |
| 521 | C2×C4×C7 | — | 2 | 2 | no | — |
| 522 | C2×C4×C7 | — | 2 | 1 | no | — |
| 523 | C2×C4×C7 | — | 2 | 2 | no | — |
| 524 | C2×C4×C7 | — | 4 | 2 | no | — |
| 525 | C2×C4×C7 | C22×D4 | 1 | 4 | yes | — |
| 526 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 527 | C2×C4×C7 | C22×D4 | 1 | 2 | yes | — |
| 528 | C2×C4×C7 | H(5,𝔽2) | 1 | 2 | yes | — |
| 529 | C2×C4×C7 | C25 | 1 | 1 | yes | characteristic |
| 530 | C22⋊D7 | — | 2 | 4 | no | — |
| 531 | C22⋊D7 | — | 4 | 4 | no | — |
| 532 | C22⋊D7 | — | 4 | 8 | no | — |
| 533 | C22⋊D7 | — | 4 | 2 | no | — |
| 534 | C22⋊D7 | — | 8 | 4 | no | — |
| 535 | C22⋊D7 | — | 8 | 2 | no | — |
| 536 | C2×Dic7 | — | 2 | 4 | no | — |
| 537 | C2×Dic7 | — | 2 | 2 | no | — |
| 538 | C2×Dic7 | — | 2 | 2 | no | — |
| 539 | C2×Dic7 | — | 2 | 2 | no | — |
| 540 | C2×Dic7 | — | 2 | 1 | no | — |
| 541 | C2×Dic7 | — | 4 | 4 | no | — |
| 542 | C2×Dic7 | — | 4 | 8 | no | — |
| 543 | C2×Dic7 | C22×D4 | 1 | 2 | yes | — |
| 544 | C2×Dic7 | C22×D4 | 1 | 2 | yes | — |
| 545 | D28 | — | 2 | 2 | no | — |
| 546 | D28 | — | 2 | 2 | no | — |
| 547 | D28 | — | 2 | 1 | no | — |
| 548 | D28 | — | 2 | 1 | no | — |
| 549 | D28 | — | 2 | 2 | no | — |
| 550 | D28 | — | 4 | 4 | no | — |
| 551 | D28 | — | 4 | 8 | no | — |
| 552 | D28 | — | 4 | 4 | no | — |
| 553 | D28 | — | 4 | 2 | no | — |
| 554 | D28 | — | 8 | 4 | no | — |
| 555 | D28 | — | 8 | 4 | no | — |
| 556 | D28 | — | 8 | 2 | no | — |
| 557 | C4×D7 | — | 2 | 4 | no | — |
| 558 | C4×D7 | — | 2 | 2 | no | — |
| 559 | C4×D7 | — | 2 | 2 | no | — |
| 560 | C4×D7 | — | 2 | 2 | no | — |
| 561 | C4×D7 | — | 2 | 2 | no | — |
| 562 | C4×D7 | — | 4 | 8 | no | — |
| 563 | C4×D7 | — | 4 | 4 | no | — |
| 564 | C4×D7 | — | 4 | 4 | no | — |
| 565 | C4×D7 | — | 4 | 4 | no | — |
| 566 | C4×D7 | — | 4 | 2 | no | — |
| 567 | Dic14 | — | 2 | 4 | no | — |
| 568 | Dic14 | — | 2 | 2 | no | — |
| 569 | Dic14 | — | 2 | 2 | no | — |
| 570 | Dic14 | — | 2 | 1 | no | — |
| 571 | Dic14 | — | 2 | 1 | no | — |
| 572 | Dic14 | — | 4 | 4 | no | — |
| 573 | Dic14 | — | 4 | 4 | no | — |
| 574 | Dic14 | C22×D4 | 1 | 4 | yes | — |
| 575 | C7×C8 | — | 2 | 2 | no | — |
| 576 | C7×C8 | — | 2 | 2 | no | — |
| 577 | C7⋊C8 | — | 2 | 2 | no | — |
| 578 | C7⋊C8 | C22×D4 | 1 | 2 | yes | — |
| 579 | C7⋊C8 | C22×D4 | 1 | 2 | yes | — |
| 580 | 2−1+4 | — | 14 | 4 | no | — |
| 581 | 2−1+4 | — | 14 | 4 | no | — |
| 582 | 2−1+4 | — | 28 | 2 | no | — |
| 583 | 2−1+4 | — | 28 | 2 | no | — |
| 584 | C2×#41 | — | 7 | 1 | no | — |
| 585 | C2×#41 | — | 7 | 4 | no | — |
| 586 | C2×#41 | — | 7 | 2 | no | — |
| 587 | C2×#41 | — | 7 | 4 | no | — |
| 588 | C2×#41 | — | 7 | 2 | no | — |
| 589 | C2×#41 | — | 7 | 1 | no | — |
| 590 | C2×#41 | — | 14 | 2 | no | — |
| 591 | C2×#41 | — | 14 | 1 | no | — |
| 592 | C2×#41 | — | 14 | 2 | no | — |
| 593 | C2×#41 | — | 14 | 2 | no | — |
| 594 | C2×#41 | — | 14 | 2 | no | — |
| 595 | C2×#41 | — | 14 | 1 | no | — |
| 596 | C2×#41 | — | 14 | 4 | no | — |
| 597 | C2×#41 | — | 14 | 4 | no | — |
| 598 | C2×#41 | — | 28 | 2 | no | — |
| 599 | C2×#41 | — | 28 | 2 | no | — |
| 600 | C2×#41 | C22×D7 | 1 | 1 | yes | characteristic |
| 601 | C22×Q8 | — | 7 | 2 | no | — |
| 602 | C22×Q8 | — | 7 | 2 | no | — |
| 603 | C22×Q8 | — | 7 | 1 | no | — |
| 604 | C22×Q8 | — | 14 | 1 | no | — |
| 605 | C22×Q8 | — | 14 | 1 | no | — |
| 606 | C22×Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 607 | C22×D4 | — | 7 | 1 | no | — |
| 608 | C22×D4 | — | 14 | 1 | no | — |
| 609 | C22×D4 | — | 14 | 1 | no | — |
| 610 | C22×D4 | C22×D7 | 1 | 1 | yes | characteristic |
| 611 | C23×C4 | — | 7 | 1 | no | — |
| 612 | C23×C4 | — | 14 | 1 | no | — |
| 613 | C23×C4 | — | 14 | 1 | no | — |
| 614 | #137 | — | 2 | 4 | no | — |
| 615 | #137 | — | 14 | 4 | no | — |
| 616 | #137 | — | 14 | 8 | no | — |
| 617 | #137 | — | 14 | 8 | no | — |
| 618 | AGL(1,ℤ/8) | — | 28 | 2 | no | — |
| 619 | AGL(1,ℤ/8) | — | 28 | 2 | no | — |
| 620 | #135 | — | 14 | 4 | no | — |
| 621 | #135 | — | 14 | 16 | no | — |
| 622 | #135 | — | 14 | 16 | no | — |
| 623 | #135 | — | 14 | 8 | no | — |
| 624 | C2×Q16 | — | 7 | 8 | no | — |
| 625 | C2×Q16 | — | 7 | 2 | no | — |
| 626 | C2×Q16 | — | 7 | 2 | no | — |
| 627 | C2×Q16 | — | 7 | 1 | no | — |
| 628 | C2×Q16 | — | 7 | 2 | no | — |
| 629 | C2×Q16 | — | 14 | 8 | no | — |
| 630 | C2×Q16 | C22×D7 | 1 | 2 | yes | — |
| 631 | C2×SD16 | — | 2 | 4 | no | — |
| 632 | C2×SD16 | — | 7 | 1 | no | — |
| 633 | C2×SD16 | — | 7 | 1 | no | — |
| 634 | C2×SD16 | — | 7 | 2 | no | — |
| 635 | C2×SD16 | — | 7 | 2 | no | — |
| 636 | C2×SD16 | — | 7 | 4 | no | — |
| 637 | C2×SD16 | — | 7 | 2 | no | — |
| 638 | C2×SD16 | — | 14 | 4 | no | — |
| 639 | C2×SD16 | C22×D7 | 1 | 4 | yes | — |
| 640 | C2×SD16 | C22×D7 | 1 | 2 | yes | — |
| 641 | C2×D8 | — | 7 | 2 | no | — |
| 642 | C2×D8 | — | 7 | 2 | no | — |
| 643 | C2×D8 | — | 7 | 1 | no | — |
| 644 | C2×D8 | — | 7 | 2 | no | — |
| 645 | C2×D8 | — | 7 | 2 | no | — |
| 646 | C2×D8 | — | 14 | 4 | no | — |
| 647 | #131 | — | 14 | 4 | no | — |
| 648 | C2×M16 | — | 7 | 1 | no | — |
| 649 | C2×M16 | — | 7 | 2 | no | — |
| 650 | C2×M16 | C22×D7 | 1 | 1 | yes | characteristic |
| 651 | C22×C8 | — | 7 | 1 | no | — |
| 652 | C22×C8 | — | 7 | 2 | no | — |
| 653 | C22×C8 | — | 7 | 2 | no | — |
| 654 | C22×C8 | — | 7 | 2 | no | — |
| 655 | C22×C8 | — | 14 | 4 | no | — |
| 656 | C22×C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 657 | #127 | — | 7 | 2 | no | — |
| 658 | #127 | — | 14 | 1 | no | — |
| 659 | #127 | — | 14 | 4 | no | — |
| 660 | #127 | — | 14 | 1 | no | — |
| 661 | #127 | — | 14 | 4 | no | — |
| 662 | #127 | C22×D7 | 1 | 2 | yes | — |
| 663 | #124 | — | 7 | 2 | no | — |
| 664 | #124 | — | 14 | 4 | no | — |
| 665 | #124 | — | 14 | 1 | no | — |
| 666 | #124 | — | 14 | 4 | no | — |
| 667 | #124 | — | 14 | 1 | no | — |
| 668 | #124 | C22×D7 | 1 | 2 | yes | — |
| 669 | #123 | — | 7 | 2 | no | — |
| 670 | #123 | — | 14 | 1 | no | — |
| 671 | #123 | — | 14 | 1 | no | — |
| 672 | C22⋊Q8 | — | 7 | 2 | no | — |
| 673 | C22⋊Q8 | — | 7 | 2 | no | — |
| 674 | C22⋊Q8 | — | 7 | 2 | no | — |
| 675 | C22⋊Q8 | — | 14 | 4 | no | — |
| 676 | C22⋊Q8 | — | 14 | 4 | no | — |
| 677 | #121 | — | 2 | 2 | no | — |
| 678 | #121 | — | 7 | 2 | no | — |
| 679 | #121 | — | 7 | 2 | no | — |
| 680 | #121 | — | 7 | 4 | no | — |
| 681 | #121 | — | 7 | 2 | no | — |
| 682 | #121 | — | 7 | 4 | no | — |
| 683 | #121 | — | 14 | 4 | no | — |
| 684 | #121 | — | 14 | 4 | no | — |
| 685 | #121 | — | 14 | 4 | no | — |
| 686 | #121 | — | 14 | 4 | no | — |
| 687 | #121 | — | 14 | 4 | no | — |
| 688 | #121 | — | 14 | 4 | no | — |
| 689 | #121 | — | 14 | 2 | no | — |
| 690 | #120 | — | 2 | 2 | no | — |
| 691 | #120 | — | 7 | 2 | no | — |
| 692 | #120 | — | 14 | 2 | no | — |
| 693 | #120 | — | 14 | 1 | no | — |
| 694 | #120 | — | 14 | 1 | no | — |
| 695 | #120 | — | 14 | 2 | no | — |
| 696 | #120 | — | 14 | 2 | no | — |
| 697 | C4×Q8 | — | 2 | 2 | no | — |
| 698 | C4×Q8 | — | 7 | 4 | no | — |
| 699 | C4×Q8 | — | 14 | 2 | no | — |
| 700 | C4×Q8 | C22×D7 | 1 | 4 | yes | — |
| 701 | C4×D4 | — | 7 | 4 | no | — |
| 702 | C4×D4 | — | 14 | 4 | no | — |
| 703 | C4×D4 | — | 14 | 4 | no | — |
| 704 | C4×D4 | — | 14 | 2 | no | — |
| 705 | C4×D4 | — | 14 | 4 | no | — |
| 706 | C4×D4 | — | 14 | 4 | no | — |
| 707 | C4×D4 | — | 14 | 2 | no | — |
| 708 | #117 | — | 2 | 2 | no | — |
| 709 | #117 | — | 7 | 1 | no | — |
| 710 | #117 | — | 14 | 2 | no | — |
| 711 | #117 | C22×D7 | 1 | 1 | yes | characteristic |
| 712 | #117 | C22×D7 | 1 | 1 | yes | characteristic |
| 713 | #107 | — | 7 | 2 | no | — |
| 714 | #106 | — | 7 | 2 | no | — |
| 715 | C4⋊C8 | C22×D7 | 1 | 4 | yes | — |
| 716 | #103 | — | 7 | 4 | no | — |
| 717 | #103 | — | 7 | 2 | no | — |
| 718 | #103 | — | 7 | 4 | no | — |
| 719 | #103 | C22×D7 | 1 | 2 | yes | — |
| 720 | #102 | — | 7 | 2 | no | — |
| 721 | #102 | — | 7 | 4 | no | — |
| 722 | #102 | C22×D7 | 1 | 2 | yes | — |
| 723 | #102 | C22×D7 | 1 | 4 | yes | — |
| 724 | C22⋊C8 | — | 7 | 4 | no | — |
| 725 | C22⋊C8 | — | 7 | 4 | no | — |
| 726 | #97 | — | 7 | 2 | no | — |
| 727 | C4×C8 | — | 7 | 2 | no | — |
| 728 | C22×C7 | — | 2 | 2 | no | — |
| 729 | C22×C7 | — | 4 | 2 | no | — |
| 730 | C22×C7 | — | 4 | 4 | no | — |
| 731 | C22×C7 | — | 4 | 1 | no | — |
| 732 | C22×C7 | — | 4 | 2 | no | — |
| 733 | C22×C7 | — | 8 | 4 | no | — |
| 734 | C22×C7 | D42 | 1 | 2 | yes | — |
| 735 | C22×C7 | C23×D4 | 1 | 1 | yes | characteristic |
| 736 | C2×D7 | — | 2 | 2 | no | — |
| 737 | C2×D7 | — | 2 | 4 | no | — |
| 738 | C2×D7 | — | 2 | 2 | no | — |
| 739 | C2×D7 | — | 2 | 2 | no | — |
| 740 | C2×D7 | — | 2 | 2 | no | — |
| 741 | C2×D7 | — | 4 | 4 | no | — |
| 742 | C2×D7 | — | 4 | 2 | no | — |
| 743 | C2×D7 | — | 4 | 4 | no | — |
| 744 | C2×D7 | — | 4 | 1 | no | — |
| 745 | C2×D7 | — | 4 | 2 | no | — |
| 746 | C2×D7 | — | 8 | 4 | no | — |
| 747 | C4×C7 | — | 2 | 4 | no | — |
| 748 | C4×C7 | — | 2 | 4 | no | — |
| 749 | C4×C7 | — | 4 | 2 | no | — |
| 750 | C4×C7 | — | 4 | 1 | no | — |
| 751 | C4×C7 | D42 | 1 | 2 | yes | — |
| 752 | C4×C7 | C23×D4 | 1 | 1 | yes | characteristic |
| 753 | C4×C7 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 754 | Dic7 | — | 2 | 4 | no | — |
| 755 | Dic7 | — | 2 | 2 | no | — |
| 756 | Dic7 | — | 2 | 2 | no | — |
| 757 | Dic7 | — | 4 | 2 | no | — |
| 758 | Dic7 | — | 4 | 1 | no | — |
| 759 | C24 | — | 2 | 1 | no | — |
| 760 | C24 | — | 7 | 1 | no | — |
| 761 | C24 | — | 14 | 1 | no | — |
| 762 | #41 | — | 2 | 2 | no | — |
| 763 | #41 | — | 2 | 2 | no | — |
| 764 | #41 | — | 14 | 2 | no | — |
| 765 | #41 | — | 14 | 2 | no | — |
| 766 | #41 | — | 14 | 8 | no | — |
| 767 | #41 | — | 14 | 4 | no | — |
| 768 | #41 | — | 14 | 8 | no | — |
| 769 | #41 | — | 14 | 4 | no | — |
| 770 | #41 | — | 14 | 2 | no | — |
| 771 | #41 | — | 14 | 2 | no | — |
| 772 | #41 | — | 28 | 8 | no | — |
| 773 | #41 | — | 28 | 4 | no | — |
| 774 | #41 | — | 28 | 4 | no | — |
| 775 | #41 | — | 28 | 2 | no | — |
| 776 | #41 | — | 28 | 8 | no | — |
| 777 | #41 | — | 28 | 8 | no | — |
| 778 | #41 | — | 28 | 4 | no | — |
| 779 | #41 | — | 28 | 2 | no | — |
| 780 | #41 | — | 28 | 8 | no | — |
| 781 | #41 | — | 28 | 4 | no | — |
| 782 | C2×Q8 | — | 2 | 1 | no | — |
| 783 | C2×Q8 | — | 2 | 2 | no | — |
| 784 | C2×Q8 | — | 7 | 1 | no | — |
| 785 | C2×Q8 | — | 7 | 4 | no | — |
| 786 | C2×Q8 | — | 7 | 2 | no | — |
| 787 | C2×Q8 | — | 7 | 1 | no | — |
| 788 | C2×Q8 | — | 14 | 2 | no | — |
| 789 | C2×Q8 | — | 14 | 2 | no | — |
| 790 | C2×Q8 | — | 14 | 1 | no | — |
| 791 | C2×Q8 | — | 14 | 2 | no | — |
| 792 | C2×Q8 | — | 14 | 4 | no | — |
| 793 | C2×Q8 | — | 14 | 4 | no | — |
| 794 | C2×Q8 | — | 28 | 4 | no | — |
| 795 | C2×Q8 | — | 28 | 2 | no | — |
| 796 | C2×Q8 | — | 28 | 2 | no | — |
| 797 | C2×Q8 | — | 28 | 4 | no | — |
| 798 | C2×Q8 | D4×D7 | 1 | 4 | yes | — |
| 799 | C2×Q8 | C23×D7 | 1 | 1 | yes | characteristic |
| 800 | C2×Q8 | C23×D7 | 1 | 2 | yes | — |
| 801 | C2×D4 | — | 2 | 1 | no | — |
| 802 | C2×D4 | — | 2 | 2 | no | — |
| 803 | C2×D4 | — | 2 | 1 | no | — |
| 804 | C2×D4 | — | 2 | 4 | no | — |
| 805 | C2×D4 | — | 2 | 2 | no | — |
| 806 | C2×D4 | — | 7 | 2 | no | — |
| 807 | C2×D4 | — | 7 | 1 | no | — |
| 808 | C2×D4 | — | 7 | 4 | no | — |
| 809 | C2×D4 | — | 7 | 2 | no | — |
| 810 | C2×D4 | — | 7 | 1 | no | — |
| 811 | C2×D4 | — | 14 | 4 | no | — |
| 812 | C2×D4 | — | 14 | 2 | no | — |
| 813 | C2×D4 | — | 14 | 2 | no | — |
| 814 | C2×D4 | — | 14 | 4 | no | — |
| 815 | C2×D4 | — | 14 | 4 | no | — |
| 816 | C2×D4 | — | 14 | 2 | no | — |
| 817 | C2×D4 | — | 14 | 1 | no | — |
| 818 | C2×D4 | — | 14 | 4 | no | — |
| 819 | C2×D4 | — | 14 | 2 | no | — |
| 820 | C2×D4 | — | 14 | 2 | no | — |
| 821 | C2×D4 | — | 14 | 1 | no | — |
| 822 | C2×D4 | — | 14 | 4 | no | — |
| 823 | C2×D4 | — | 14 | 2 | no | — |
| 824 | C2×D4 | — | 28 | 4 | no | — |
| 825 | C2×D4 | — | 28 | 4 | no | — |
| 826 | C2×D4 | C23×D7 | 1 | 2 | yes | — |
| 827 | C2×D4 | C23×D7 | 1 | 1 | yes | characteristic |
| 828 | C22×C4 | — | 2 | 1 | no | — |
| 829 | C22×C4 | — | 2 | 1 | no | — |
| 830 | C22×C4 | — | 7 | 1 | no | — |
| 831 | C22×C4 | — | 7 | 2 | no | — |
| 832 | C22×C4 | — | 7 | 2 | no | — |
| 833 | C22×C4 | — | 7 | 2 | no | — |
| 834 | C22×C4 | — | 14 | 2 | no | — |
| 835 | C22×C4 | — | 14 | 4 | no | — |
| 836 | C22×C4 | — | 14 | 2 | no | — |
| 837 | C22×C4 | — | 14 | 2 | no | — |
| 838 | C22×C4 | — | 14 | 2 | no | — |
| 839 | C22×C4 | — | 14 | 4 | no | — |
| 840 | C22×C4 | — | 14 | 1 | no | — |
| 841 | C22×C4 | — | 14 | 2 | no | — |
| 842 | C22×C4 | — | 14 | 2 | no | — |
| 843 | C22×C4 | — | 14 | 1 | no | — |
| 844 | C22×C4 | — | 28 | 4 | no | — |
| 845 | C22×C4 | — | 28 | 4 | no | — |
| 846 | C22×C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 847 | Q16 | — | 2 | 4 | no | — |
| 848 | Q16 | — | 7 | 8 | no | — |
| 849 | Q16 | — | 7 | 8 | no | — |
| 850 | Q16 | — | 14 | 4 | no | — |
| 851 | Q16 | — | 14 | 2 | no | — |
| 852 | SD16 | — | 2 | 8 | no | — |
| 853 | SD16 | — | 2 | 4 | no | — |
| 854 | SD16 | — | 14 | 8 | no | — |
| 855 | SD16 | — | 14 | 4 | no | — |
| 856 | SD16 | — | 14 | 2 | no | — |
| 857 | SD16 | — | 14 | 2 | no | — |
| 858 | SD16 | — | 28 | 2 | no | — |
| 859 | SD16 | — | 28 | 2 | no | — |
| 860 | D8 | — | 14 | 4 | no | — |
| 861 | D8 | — | 14 | 4 | no | — |
| 862 | D8 | — | 14 | 2 | no | — |
| 863 | D8 | — | 28 | 2 | no | — |
| 864 | D8 | — | 28 | 2 | no | — |
| 865 | M16 | — | 2 | 2 | no | — |
| 866 | M16 | — | 14 | 4 | no | — |
| 867 | M16 | — | 14 | 2 | no | — |
| 868 | C2×C8 | — | 2 | 2 | no | — |
| 869 | C2×C8 | — | 7 | 4 | no | — |
| 870 | C2×C8 | — | 7 | 1 | no | — |
| 871 | C2×C8 | — | 7 | 1 | no | — |
| 872 | C2×C8 | — | 7 | 2 | no | — |
| 873 | C2×C8 | — | 14 | 4 | no | — |
| 874 | C2×C8 | — | 14 | 4 | no | — |
| 875 | C2×C8 | — | 14 | 4 | no | — |
| 876 | C2×C8 | C23×D7 | 1 | 2 | yes | — |
| 877 | C2×C8 | C23×D7 | 1 | 2 | yes | — |
| 878 | C4⋊C4 | — | 2 | 4 | no | — |
| 879 | C4⋊C4 | — | 7 | 4 | no | — |
| 880 | C4⋊C4 | — | 7 | 2 | no | — |
| 881 | C4⋊C4 | — | 14 | 2 | no | — |
| 882 | C4⋊C4 | — | 14 | 2 | no | — |
| 883 | C4⋊C4 | — | 14 | 4 | no | — |
| 884 | C4⋊C4 | D4×D7 | 1 | 2 | yes | — |
| 885 | C4⋊C4 | C23×D7 | 1 | 2 | yes | — |
| 886 | C22⋊C4 | — | 2 | 1 | no | — |
| 887 | C22⋊C4 | — | 2 | 4 | no | — |
| 888 | C22⋊C4 | — | 7 | 4 | no | — |
| 889 | C22⋊C4 | — | 7 | 4 | no | — |
| 890 | C22⋊C4 | — | 14 | 2 | no | — |
| 891 | C22⋊C4 | — | 14 | 4 | no | — |
| 892 | C22⋊C4 | — | 14 | 2 | no | — |
| 893 | C22⋊C4 | — | 14 | 2 | no | — |
| 894 | C22⋊C4 | — | 14 | 2 | no | — |
| 895 | C22⋊C4 | — | 14 | 4 | no | — |
| 896 | C22⋊C4 | — | 14 | 1 | no | — |
| 897 | C22⋊C4 | — | 14 | 4 | no | — |
| 898 | C22⋊C4 | D4×D7 | 1 | 2 | yes | — |
| 899 | C42 | — | 2 | 4 | no | — |
| 900 | C42 | — | 2 | 1 | no | — |
| 901 | C42 | — | 14 | 1 | no | — |
| 902 | C42 | — | 14 | 4 | no | — |
| 903 | C42 | C23×D7 | 1 | 2 | yes | — |
| 904 | C2×C7 | — | 2 | 2 | no | — |
| 905 | C2×C7 | — | 8 | 1 | no | — |
| 906 | C2×C7 | — | 8 | 2 | no | — |
| 907 | C2×C7 | C2×D42 | 1 | 1 | yes | characteristic |
| 908 | C2×C7 | #3584 | 1 | 2 | yes | — |
| 909 | D7 | — | 4 | 2 | no | — |
| 910 | D7 | — | 4 | 2 | no | — |
| 911 | D7 | — | 8 | 1 | no | — |
| 912 | D7 | — | 8 | 2 | no | — |
| 913 | C23 | — | 2 | 2 | no | — |
| 914 | C23 | — | 2 | 1 | no | — |
| 915 | C23 | — | 4 | 2 | no | — |
| 916 | C23 | — | 7 | 2 | no | — |
| 917 | C23 | — | 7 | 2 | no | — |
| 918 | C23 | — | 8 | 2 | no | — |
| 919 | C23 | — | 14 | 2 | no | — |
| 920 | C23 | — | 14 | 2 | no | — |
| 921 | C23 | — | 14 | 1 | no | — |
| 922 | C23 | — | 28 | 2 | no | — |
| 923 | C23 | — | 28 | 2 | no | — |
| 924 | C23 | — | 56 | 2 | no | — |
| 925 | C23 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 926 | Q8 | — | 2 | 4 | no | — |
| 927 | Q8 | — | 2 | 2 | no | — |
| 928 | Q8 | — | 2 | 1 | no | — |
| 929 | Q8 | — | 2 | 1 | no | — |
| 930 | Q8 | — | 7 | 4 | no | — |
| 931 | Q8 | — | 14 | 4 | no | — |
| 932 | Q8 | — | 14 | 2 | no | — |
| 933 | Q8 | — | 14 | 2 | no | — |
| 934 | Q8 | — | 14 | 1 | no | — |
| 935 | Q8 | — | 14 | 1 | no | — |
| 936 | Q8 | — | 28 | 4 | no | — |
| 937 | Q8 | — | 28 | 4 | no | — |
| 938 | Q8 | C2×D4×D7 | 1 | 4 | yes | — |
| 939 | D4 | — | 2 | 2 | no | — |
| 940 | D4 | — | 2 | 1 | no | — |
| 941 | D4 | — | 2 | 1 | no | — |
| 942 | D4 | — | 2 | 2 | no | — |
| 943 | D4 | — | 4 | 2 | no | — |
| 944 | D4 | — | 4 | 2 | no | — |
| 945 | D4 | — | 8 | 4 | no | — |
| 946 | D4 | — | 14 | 4 | no | — |
| 947 | D4 | — | 14 | 2 | no | — |
| 948 | D4 | — | 14 | 2 | no | — |
| 949 | D4 | — | 14 | 1 | no | — |
| 950 | D4 | — | 14 | 1 | no | — |
| 951 | D4 | — | 14 | 2 | no | — |
| 952 | D4 | — | 28 | 4 | no | — |
| 953 | D4 | — | 28 | 8 | no | — |
| 954 | D4 | — | 28 | 4 | no | — |
| 955 | D4 | — | 28 | 8 | no | — |
| 956 | D4 | — | 28 | 4 | no | — |
| 957 | D4 | — | 28 | 2 | no | — |
| 958 | D4 | — | 28 | 2 | no | — |
| 959 | D4 | — | 56 | 4 | no | — |
| 960 | D4 | — | 56 | 4 | no | — |
| 961 | D4 | — | 56 | 2 | no | — |
| 962 | D4 | — | 56 | 2 | no | — |
| 963 | D4 | — | 56 | 4 | no | — |
| 964 | C2×C4 | — | 2 | 4 | no | — |
| 965 | C2×C4 | — | 2 | 2 | no | — |
| 966 | C2×C4 | — | 2 | 2 | no | — |
| 967 | C2×C4 | — | 2 | 1 | no | — |
| 968 | C2×C4 | — | 4 | 2 | no | — |
| 969 | C2×C4 | — | 7 | 2 | no | — |
| 970 | C2×C4 | — | 7 | 2 | no | — |
| 971 | C2×C4 | — | 14 | 2 | no | — |
| 972 | C2×C4 | — | 14 | 4 | no | — |
| 973 | C2×C4 | — | 14 | 2 | no | — |
| 974 | C2×C4 | — | 14 | 4 | no | — |
| 975 | C2×C4 | — | 14 | 2 | no | — |
| 976 | C2×C4 | — | 14 | 2 | no | — |
| 977 | C2×C4 | — | 14 | 2 | no | — |
| 978 | C2×C4 | — | 14 | 2 | no | — |
| 979 | C2×C4 | — | 14 | 2 | no | — |
| 980 | C2×C4 | — | 14 | 1 | no | — |
| 981 | C2×C4 | — | 28 | 8 | no | — |
| 982 | C2×C4 | — | 28 | 4 | no | — |
| 983 | C2×C4 | — | 28 | 4 | no | — |
| 984 | C2×C4 | — | 28 | 4 | no | — |
| 985 | C2×C4 | — | 28 | 8 | no | — |
| 986 | C2×C4 | — | 28 | 4 | no | — |
| 987 | C2×C4 | — | 28 | 2 | no | — |
| 988 | C2×C4 | C2×D4×D7 | 1 | 4 | yes | — |
| 989 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 990 | C2×C4 | C2×D4×D7 | 1 | 2 | yes | — |
| 991 | C2×C4 | #6553 | 1 | 2 | yes | — |
| 992 | C2×C4 | C24×D7 | 1 | 1 | yes | characteristic |
| 993 | C8 | — | 2 | 2 | no | — |
| 994 | C8 | — | 2 | 2 | no | — |
| 995 | C8 | — | 7 | 2 | no | — |
| 996 | C8 | — | 7 | 2 | no | — |
| 997 | C8 | — | 14 | 2 | no | — |
| 998 | C7 | #61054 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 999 | C22 | — | 2 | 2 | no | — |
| 1000 | C22 | — | 4 | 2 | no | — |
| 1001 | C22 | — | 4 | 4 | no | — |
| 1002 | C22 | — | 4 | 1 | no | — |
| 1003 | C22 | — | 4 | 2 | no | — |
| 1004 | C22 | — | 8 | 4 | no | — |
| 1005 | C22 | — | 14 | 2 | no | — |
| 1006 | C22 | — | 14 | 4 | no | — |
| 1007 | C22 | — | 14 | 2 | no | — |
| 1008 | C22 | — | 14 | 2 | no | — |
| 1009 | C22 | — | 14 | 2 | no | — |
| 1010 | C22 | — | 28 | 4 | no | — |
| 1011 | C22 | — | 28 | 2 | no | — |
| 1012 | C22 | — | 28 | 4 | no | — |
| 1013 | C22 | — | 28 | 1 | no | — |
| 1014 | C22 | — | 28 | 2 | no | — |
| 1015 | C22 | — | 56 | 4 | no | — |
| 1016 | C22 | #90300 | 1 | 2 | yes | — |
| 1017 | C22 | C22×D4×D7 | 1 | 1 | yes | characteristic |
| 1018 | C4 | — | 2 | 4 | no | — |
| 1019 | C4 | — | 2 | 4 | no | — |
| 1020 | C4 | — | 4 | 2 | no | — |
| 1021 | C4 | — | 4 | 1 | no | — |
| 1022 | C4 | — | 14 | 2 | no | — |
| 1023 | C4 | — | 14 | 2 | no | — |
| 1024 | C4 | — | 14 | 4 | no | — |
| 1025 | C4 | — | 28 | 2 | no | — |
| 1026 | C4 | — | 28 | 1 | no | — |
| 1027 | C4 | #90300 | 1 | 2 | yes | — |
| 1028 | C4 | C22×D4×D7 | 1 | 1 | yes | characteristic |
| 1029 | C4 | C2×#6553 | 1 | 1 | yes | characteristic |
| 1030 | C2 | — | 2 | 2 | no | — |
| 1031 | C2 | — | 8 | 2 | no | — |
| 1032 | C2 | — | 8 | 1 | no | — |
| 1033 | C2 | — | 28 | 2 | no | — |
| 1034 | C2 | — | 28 | 2 | no | — |
| 1035 | C2 | — | 56 | 2 | no | — |
| 1036 | C2 | — | 56 | 1 | no | — |
| 1037 | C2 | C2×#90300 | 1 | 1 | yes | characteristic |
| 1038 | C2 | #11744274 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#90470 | C2 | semidirect |
| 2. C22×#6479 | C2 | semidirect |
| 3. #11743383 | C2 | semidirect |
| 4. #11742942 | C2 | semidirect |
| 5. C7×#3043 | C2 | semidirect |
| 6. #11741425 | C2 | semidirect |
| 7. #11741305 | C2 | semidirect |
| 8. #11740827 | C2 | semidirect |
| 9. #11739994 | C2 | semidirect |
| 10. #11738059 | C2 | semidirect |
| 11. #11738057 | C2 | semidirect |
| 12. #11737852 | C2 | semidirect |
| 13. #11737839 | C2 | semidirect |
| 14. #11736544 | C2 | semidirect |
| 15. #11736518 | C2 | semidirect |
| 16. #11736377 | C2 | semidirect |
| 17. #11736372 | C2 | semidirect |
| 18. #11736283 | C2 | semidirect |
| 19. #11736281 | C2 | semidirect |
| 36. C2×#6481 | C22 | semidirect |
| 37. C2×D7×Q16 | C22 | semidirect |
| 41. C2×#6479 | C22 | semidirect |
| 42. C2×#6478 | C22 | semidirect |
| 47. #90409 | C22 | semidirect |
| 48. #90368 | C22 | semidirect |
| 54. #90268 | C22 | semidirect |
| 56. #90267 | C22 | semidirect |
| 64. C7×#464 | C22 | semidirect |
| 65. C7×#460 | C22 | semidirect |
| 70. #89959 | C22 | semidirect |
| 71. #89944 | C22 | semidirect |
| 72. #89944 | C22 | semidirect |
| 73. #89942 | C22 | semidirect |
| 78. #89846 | C22 | semidirect |
| 79. #89845 | C22 | semidirect |
| 80. #89831 | C22 | semidirect |
| 81. #89830 | C22 | semidirect |
| 82. #89802 | C22 | semidirect |
| 83. C4×#1144 | C22 | semidirect |
| 87. #89620 | C22 | semidirect |
| 88. #89617 | C22 | semidirect |
| 89. #89608 | C22 | semidirect |
| 90. #89606 | C22 | semidirect |
| 91. #89585 | C22 | semidirect |
| 92. #89579 | C22 | semidirect |
| 93. #89578 | C22 | semidirect |
| 94. #89555 | C22 | semidirect |
| 95. #89554 | C22 | semidirect |
| 96. #89553 | C22 | semidirect |
| 97. #89553 | C22 | semidirect |
| 98. #89550 | C22 | semidirect |
| 99. #89547 | C22 | semidirect |
| 100. #89547 | C22 | semidirect |
| 156. C2×#1144 | D4 | semidirect |
| 262. #3043 | D7 | semidirect |
| 469. #464 | C2×D7 | semidirect |
| 471. #460 | C2×D7 | semidirect |
| 998. C7 | #61054 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.