Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
1126 conjugacy classes of subgroups.
The subgroup lattice has 910 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11743410 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11741382 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #11740419 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11736366 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C7×#2003 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11729842 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11729621 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11729484 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11728120 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11728112 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11728082 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11727870 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | Dic7×#101 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11726530 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11726484 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×C7×AGL(1,ℤ/8) | C22 | 1 | 1 | yes | characteristic |
| 17 | C7×#536 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×C7×#124 | C22 | 1 | 1 | yes | characteristic |
| 19 | #90523 | C22 | 1 | 1 | yes | characteristic |
| 20 | #90518 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#6512 | C22 | 1 | 1 | yes | characteristic |
| 22 | #90507 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#6510 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×Q8×Dic7 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#6503 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#6495 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#6471 | C22 | 1 | 1 | yes | characteristic |
| 28 | #90423 | — | 2 | 1 | no | — |
| 29 | #90412 | — | 2 | 1 | no | — |
| 30 | #90372 | — | 2 | 1 | no | — |
| 31 | #90362 | — | 2 | 1 | no | — |
| 32 | #90356 | — | 2 | 2 | no | — |
| 33 | #90340 | — | 2 | 2 | no | — |
| 34 | #90333 | — | 2 | 1 | no | — |
| 35 | #90332 | — | 2 | 1 | no | — |
| 36 | #90330 | — | 2 | 1 | no | — |
| 37 | #90326 | — | 2 | 1 | no | — |
| 38 | #90214 | C22 | 1 | 1 | yes | characteristic |
| 39 | #90208 | C22 | 1 | 1 | yes | characteristic |
| 40 | C2×C7×#104 | C22 | 1 | 1 | yes | characteristic |
| 41 | C7×#418 | C22 | 1 | 1 | yes | characteristic |
| 42 | C2×C7×#101 | C22 | 1 | 1 | yes | characteristic |
| 43 | C2×#6411 | C22 | 1 | 1 | yes | characteristic |
| 44 | C2×#6410 | C22 | 1 | 1 | yes | characteristic |
| 45 | #89993 | C22 | 1 | 1 | yes | characteristic |
| 46 | #89987 | C22 | 1 | 1 | yes | characteristic |
| 47 | #89948 | — | 2 | 1 | no | — |
| 48 | #89947 | — | 2 | 1 | no | — |
| 49 | #89926 | — | 2 | 1 | no | — |
| 50 | #89923 | — | 2 | 1 | no | — |
| 51 | C2×#6399 | C22 | 1 | 1 | yes | characteristic |
| 52 | #89903 | C22 | 1 | 1 | yes | characteristic |
| 53 | M16×Dic7 | C22 | 1 | 1 | yes | characteristic |
| 54 | M16×Dic7 | C22 | 1 | 1 | yes | characteristic |
| 55 | #89773 | C22 | 1 | 1 | yes | characteristic |
| 56 | #89733 | — | 2 | 2 | no | — |
| 57 | #89729 | — | 2 | 2 | no | — |
| 58 | #89711 | C22 | 1 | 1 | yes | characteristic |
| 59 | C4×Dic7⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 60 | C2×#6379 | C22 | 1 | 1 | yes | characteristic |
| 61 | #89536 | — | 2 | 1 | no | — |
| 62 | #89536 | — | 2 | 1 | no | — |
| 63 | #89532 | — | 2 | 1 | no | — |
| 64 | #89532 | — | 2 | 1 | no | — |
| 65 | C7×#339 | C22 | 1 | 1 | yes | characteristic |
| 66 | #89350 | C22 | 1 | 1 | yes | characteristic |
| 67 | #89349 | C22 | 1 | 1 | yes | characteristic |
| 68 | #89349 | C22 | 1 | 1 | yes | characteristic |
| 69 | #89327 | C22 | 1 | 1 | yes | characteristic |
| 70 | #89318 | C22 | 1 | 1 | yes | characteristic |
| 71 | #25624 | — | 7 | 1 | no | maximal, Sylow |
| 72 | C2×C7×#41 | C23 | 1 | 1 | yes | characteristic |
| 73 | C22×C7×Q8 | C23 | 1 | 1 | yes | characteristic |
| 74 | C22×C7×D4 | C23 | 1 | 1 | yes | characteristic |
| 75 | C22×C22⋊D7 | — | 2 | 1 | no | — |
| 76 | C22×C22⋊D7 | — | 2 | 1 | no | — |
| 77 | C2×#1157 | C23 | 1 | 1 | yes | characteristic |
| 78 | C22×D28 | C23 | 1 | 1 | yes | characteristic |
| 79 | C7×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 80 | C7×AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 81 | C2×C7×SD16 | — | 2 | 1 | no | — |
| 82 | C2×C7×D8 | — | 2 | 1 | no | — |
| 83 | C2×C7×M16 | C23 | 1 | 1 | yes | characteristic |
| 84 | C2×C7×M16 | C23 | 1 | 1 | yes | characteristic |
| 85 | C7×C4⋊Q8 | — | 2 | 1 | no | — |
| 86 | C7×#124 | — | 2 | 1 | no | — |
| 87 | C7×#124 | — | 4 | 1 | no | — |
| 88 | C7×#124 | — | 4 | 1 | no | — |
| 89 | C7×#123 | — | 2 | 2 | no | — |
| 90 | C7×C22⋊Q8 | — | 2 | 1 | no | — |
| 91 | C7×C22⋊Q8 | — | 2 | 1 | no | — |
| 92 | C7×#117 | C23 | 1 | 1 | yes | characteristic |
| 93 | C2×C7×C22⋊C4 | — | 2 | 2 | no | — |
| 94 | C2×C42×C7 | C23 | 1 | 1 | yes | characteristic |
| 95 | C2×C22⋊Dic7 | — | 2 | 2 | no | — |
| 96 | #6512 | — | 2 | 2 | no | — |
| 97 | #6512 | — | 4 | 1 | no | — |
| 98 | #6510 | — | 2 | 1 | no | — |
| 99 | #6510 | — | 4 | 1 | no | — |
| 100 | #6510 | — | 4 | 1 | no | — |
| 101 | #6510 | D4 | 1 | 1 | yes | characteristic |
| 102 | #6509 | — | 2 | 1 | no | — |
| 103 | #6509 | — | 2 | 1 | no | — |
| 104 | Q8×Dic7 | — | 2 | 1 | no | — |
| 105 | Q8×Dic7 | — | 2 | 1 | no | — |
| 106 | Q8×Dic7 | — | 2 | 1 | no | — |
| 107 | Q8×Dic7 | — | 2 | 1 | no | — |
| 108 | Q8×Dic7 | — | 2 | 1 | no | — |
| 109 | #6507 | — | 2 | 1 | no | — |
| 110 | #6507 | D4 | 1 | 1 | yes | characteristic |
| 111 | C2×#1143 | — | 2 | 1 | no | — |
| 112 | #6503 | — | 2 | 1 | no | — |
| 113 | #6503 | — | 2 | 1 | no | — |
| 114 | #6503 | — | 2 | 1 | no | — |
| 115 | #6503 | — | 2 | 1 | no | — |
| 116 | #6503 | D4 | 1 | 1 | yes | characteristic |
| 117 | #6502 | — | 2 | 1 | no | — |
| 118 | #6502 | — | 2 | 1 | no | — |
| 119 | #6499 | D4 | 1 | 1 | yes | characteristic |
| 120 | D4×Dic7 | — | 2 | 1 | no | — |
| 121 | D4×Dic7 | — | 2 | 2 | no | — |
| 122 | C2×#1142 | — | 2 | 1 | no | — |
| 123 | #6495 | — | 2 | 2 | no | — |
| 124 | #6495 | — | 4 | 1 | no | — |
| 125 | C2×#1141 | — | 2 | 1 | no | — |
| 126 | C2×#1141 | — | 2 | 1 | no | — |
| 127 | #6492 | — | 2 | 2 | no | — |
| 128 | C4×C22⋊D7 | — | 2 | 1 | no | — |
| 129 | C4×C22⋊D7 | — | 2 | 1 | no | — |
| 130 | C2×(C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 131 | C2×(C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 132 | #6489 | — | 2 | 1 | no | — |
| 133 | #6489 | C23 | 1 | 1 | yes | characteristic |
| 134 | C2×C4⋊Dic7 | — | 2 | 1 | no | — |
| 135 | C2×C4⋊Dic7 | D4 | 1 | 2 | yes | — |
| 136 | C2×C4⋊Dic7 | C23 | 1 | 1 | yes | characteristic |
| 137 | C2×Dic7⋊C4 | — | 2 | 1 | no | — |
| 138 | C2×C4×Dic7 | D4 | 1 | 2 | yes | — |
| 139 | C2×C4×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 140 | C2×C4×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 141 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 142 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 143 | #6471 | — | 2 | 2 | no | — |
| 144 | #6471 | — | 4 | 1 | no | — |
| 145 | C2×D56 | — | 2 | 1 | no | — |
| 146 | C2×#1132 | — | 2 | 1 | no | — |
| 147 | #6461 | — | 2 | 2 | no | — |
| 148 | #6461 | — | 2 | 2 | no | — |
| 149 | #6460 | — | 2 | 2 | no | — |
| 150 | #6455 | — | 2 | 2 | no | — |
| 151 | #6455 | — | 2 | 1 | no | — |
| 152 | D7×C4⋊C4 | — | 2 | 1 | no | — |
| 153 | #6453 | — | 2 | 2 | no | — |
| 154 | #6453 | D4 | 1 | 1 | yes | characteristic |
| 155 | #6453 | D4 | 1 | 1 | yes | characteristic |
| 156 | #6452 | — | 2 | 2 | no | — |
| 157 | #6452 | — | 2 | 2 | no | — |
| 158 | #6451 | D4 | 1 | 1 | yes | characteristic |
| 159 | #6451 | D4 | 1 | 1 | yes | characteristic |
| 160 | #6450 | — | 2 | 2 | no | — |
| 161 | #6449 | — | 2 | 2 | no | — |
| 162 | #6448 | — | 2 | 2 | no | — |
| 163 | #6446 | — | 2 | 2 | no | — |
| 164 | (C22⋊D7)⋊C4 | — | 2 | 2 | no | — |
| 165 | (C22⋊D7)⋊C4 | — | 2 | 2 | no | — |
| 166 | #6442 | — | 2 | 2 | no | — |
| 167 | #6442 | — | 2 | 2 | no | — |
| 168 | #6441 | — | 2 | 2 | no | — |
| 169 | #6441 | — | 2 | 1 | no | — |
| 170 | #6441 | — | 2 | 1 | no | — |
| 171 | #6440 | — | 2 | 2 | no | — |
| 172 | C4×D28 | — | 2 | 1 | no | — |
| 173 | C4×Dic14 | — | 2 | 1 | no | — |
| 174 | C4×Dic14 | — | 2 | 1 | no | — |
| 175 | C4×Dic14 | — | 2 | 1 | no | — |
| 176 | C7×#104 | — | 4 | 1 | no | — |
| 177 | C7×#102 | — | 2 | 1 | no | — |
| 178 | C7×#102 | — | 2 | 1 | no | — |
| 179 | C7×#101 | — | 2 | 2 | no | — |
| 180 | #6411 | — | 4 | 1 | no | — |
| 181 | #6410 | — | 2 | 2 | no | — |
| 182 | #6406 | — | 2 | 1 | no | — |
| 183 | #6406 | — | 2 | 1 | no | — |
| 184 | C7⋊#95 | — | 2 | 1 | no | — |
| 185 | #6399 | — | 4 | 1 | no | — |
| 186 | #6395 | — | 2 | 1 | no | — |
| 187 | #6395 | — | 2 | 1 | no | — |
| 188 | #6389 | — | 2 | 1 | no | — |
| 189 | #6389 | — | 2 | 1 | no | — |
| 190 | C8×Dic7 | — | 2 | 1 | no | — |
| 191 | C8×Dic7 | — | 2 | 1 | no | — |
| 192 | #6383 | — | 2 | 1 | no | — |
| 193 | #6383 | — | 2 | 1 | no | — |
| 194 | #6379 | — | 4 | 1 | no | — |
| 195 | #3507 | — | 7 | 1 | no | — |
| 196 | #3151 | — | 7 | 1 | no | — |
| 197 | #3138 | — | 7 | 1 | no | — |
| 198 | #2548 | — | 7 | 1 | no | — |
| 199 | #2003 | — | 7 | 1 | no | — |
| 200 | #2003 | — | 7 | 1 | no | — |
| 201 | #2003 | — | 7 | 1 | no | — |
| 202 | #2003 | D7 | 1 | 1 | yes | characteristic, complemented |
| 203 | #1986 | — | 7 | 1 | no | — |
| 204 | #1980 | — | 7 | 1 | no | — |
| 205 | #1883 | — | 7 | 1 | no | — |
| 206 | #1883 | — | 7 | 1 | no | — |
| 207 | #1883 | — | 7 | 1 | no | — |
| 208 | #1883 | — | 7 | 1 | no | — |
| 209 | C4×#101 | — | 7 | 1 | no | — |
| 210 | C24×C7 | — | 2 | 1 | no | — |
| 211 | C23×D7 | — | 2 | 1 | no | — |
| 212 | C7×#41 | — | 2 | 1 | no | — |
| 213 | C7×#41 | — | 2 | 1 | no | — |
| 214 | C7×#41 | — | 2 | 1 | no | — |
| 215 | C7×#41 | — | 2 | 1 | no | — |
| 216 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 217 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 218 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 219 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 220 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 221 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 222 | C2×C7×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 223 | C2×C7×D4 | — | 2 | 1 | no | — |
| 224 | C2×C7×D4 | — | 2 | 1 | no | — |
| 225 | C2×C7×D4 | — | 2 | 1 | no | — |
| 226 | C2×C7×D4 | — | 2 | 1 | no | — |
| 227 | C2×C7×D4 | — | 2 | 1 | no | — |
| 228 | C2×C7×D4 | — | 2 | 1 | no | — |
| 229 | C2×C7×D4 | — | 2 | 1 | no | — |
| 230 | C2×C7×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 231 | C22×C4×C7 | — | 2 | 1 | no | — |
| 232 | C22×C4×C7 | — | 2 | 1 | no | — |
| 233 | C22×C4×C7 | C2×D4 | 1 | 2 | yes | — |
| 234 | C22×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 235 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 236 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 237 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 238 | C2×C22⋊D7 | — | 4 | 4 | no | — |
| 239 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 240 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 241 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 242 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 243 | C2×C22⋊D7 | — | 8 | 2 | no | — |
| 244 | C22×Dic7 | — | 2 | 2 | no | — |
| 245 | C22×Dic7 | — | 2 | 1 | no | — |
| 246 | C22×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 247 | C22×Dic7 | C2×D4 | 1 | 2 | yes | — |
| 248 | C22×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 249 | #1157 | — | 2 | 1 | no | — |
| 250 | #1157 | — | 2 | 1 | no | — |
| 251 | #1157 | — | 2 | 1 | no | — |
| 252 | #1157 | — | 2 | 1 | no | — |
| 253 | C2×D28 | — | 2 | 1 | no | — |
| 254 | C2×D28 | — | 2 | 1 | no | — |
| 255 | C2×D28 | — | 2 | 1 | no | — |
| 256 | C2×D28 | — | 2 | 1 | no | — |
| 257 | C2×D28 | — | 2 | 1 | no | — |
| 258 | C2×D28 | — | 2 | 1 | no | — |
| 259 | C2×D28 | C2×D4 | 1 | 1 | yes | characteristic |
| 260 | C2×C4×D7 | — | 2 | 1 | no | — |
| 261 | C2×C4×D7 | — | 2 | 2 | no | — |
| 262 | C2×Dic14 | — | 2 | 1 | no | — |
| 263 | C2×Dic14 | — | 2 | 1 | no | — |
| 264 | C2×Dic14 | C2×D4 | 1 | 1 | yes | characteristic |
| 265 | C7×SD16 | — | 4 | 2 | no | — |
| 266 | C7×D8 | — | 4 | 2 | no | — |
| 267 | C7×M16 | — | 2 | 1 | no | — |
| 268 | C7×M16 | — | 2 | 1 | no | — |
| 269 | C7×M16 | — | 2 | 1 | no | — |
| 270 | C7×M16 | #41 | 1 | 2 | yes | — |
| 271 | C2×C7×C8 | — | 2 | 1 | no | — |
| 272 | C2×C7×C8 | — | 2 | 1 | no | — |
| 273 | C7×C4⋊C4 | — | 2 | 2 | no | — |
| 274 | C7×C4⋊C4 | — | 2 | 2 | no | — |
| 275 | C7×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 276 | C7×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 277 | C7×C22⋊C4 | — | 2 | 2 | no | — |
| 278 | C7×C22⋊C4 | — | 2 | 2 | no | — |
| 279 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 280 | C7×C22⋊C4 | — | 4 | 4 | no | — |
| 281 | C42×C7 | — | 2 | 1 | no | — |
| 282 | C42×C7 | — | 2 | 1 | no | — |
| 283 | C42×C7 | — | 2 | 1 | no | — |
| 284 | C22⋊Dic7 | — | 2 | 2 | no | — |
| 285 | C22⋊Dic7 | — | 2 | 1 | no | — |
| 286 | C22⋊Dic7 | — | 2 | 1 | no | — |
| 287 | C22⋊Dic7 | — | 2 | 1 | no | — |
| 288 | C22⋊Dic7 | — | 8 | 2 | no | — |
| 289 | #1143 | — | 4 | 2 | no | — |
| 290 | #1142 | — | 4 | 2 | no | — |
| 291 | #1141 | — | 4 | 2 | no | — |
| 292 | #1141 | — | 4 | 2 | no | — |
| 293 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 294 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 295 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 296 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 297 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 298 | (C2×D7)⋊C4 | — | 4 | 4 | no | — |
| 299 | (C2×D7)⋊C4 | — | 8 | 2 | no | — |
| 300 | C4⋊Dic7 | — | 2 | 2 | no | — |
| 301 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 302 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 303 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 304 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 305 | C4⋊Dic7 | — | 2 | 2 | no | — |
| 306 | C4⋊Dic7 | — | 2 | 2 | no | — |
| 307 | C4⋊Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 308 | C4⋊Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 309 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 310 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 311 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 312 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 313 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 314 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 315 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 316 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 317 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 318 | Dic7⋊C4 | — | 4 | 2 | no | — |
| 319 | C4×Dic7 | — | 2 | 2 | no | — |
| 320 | C4×Dic7 | — | 2 | 2 | no | — |
| 321 | C4×Dic7 | — | 2 | 1 | no | — |
| 322 | C4×Dic7 | — | 2 | 2 | no | — |
| 323 | C4×Dic7 | — | 2 | 2 | no | — |
| 324 | C4×Dic7 | — | 2 | 1 | no | — |
| 325 | C4×Dic7 | — | 2 | 1 | no | — |
| 326 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 327 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 328 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 329 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 330 | #1136 | — | 2 | 1 | no | — |
| 331 | #1136 | — | 2 | 1 | no | — |
| 332 | #1136 | — | 2 | 1 | no | — |
| 333 | #1136 | #41 | 1 | 2 | yes | — |
| 334 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 335 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 336 | D56 | — | 4 | 2 | no | — |
| 337 | #1132 | — | 4 | 2 | no | — |
| 338 | C2×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 339 | C2×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 340 | C2×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 341 | C2×AGL(1,ℤ/8) | C2×D7 | 1 | 1 | yes | characteristic |
| 342 | #559 | — | 14 | 1 | no | — |
| 343 | #557 | — | 14 | 1 | no | — |
| 344 | #556 | — | 14 | 1 | no | — |
| 345 | #556 | — | 14 | 1 | no | — |
| 346 | #556 | — | 14 | 1 | no | — |
| 347 | #554 | — | 14 | 1 | no | — |
| 348 | #552 | — | 14 | 1 | no | — |
| 349 | #552 | — | 14 | 1 | no | — |
| 350 | #539 | — | 14 | 2 | no | — |
| 351 | #536 | — | 7 | 1 | no | — |
| 352 | #536 | C2×D7 | 1 | 1 | yes | characteristic |
| 353 | #533 | — | 7 | 1 | no | — |
| 354 | #532 | — | 7 | 1 | no | — |
| 355 | C2×#127 | — | 7 | 1 | no | — |
| 356 | #529 | — | 14 | 2 | no | — |
| 357 | C2×#124 | — | 7 | 1 | no | — |
| 358 | C2×#124 | C2×D7 | 1 | 1 | yes | characteristic |
| 359 | #520 | — | 7 | 1 | no | — |
| 360 | #520 | — | 7 | 1 | no | — |
| 361 | C2×C4×Q8 | — | 7 | 1 | no | — |
| 362 | #496 | — | 14 | 1 | no | — |
| 363 | #496 | — | 14 | 1 | no | — |
| 364 | #493 | — | 14 | 1 | no | — |
| 365 | #492 | — | 14 | 1 | no | — |
| 366 | #490 | — | 14 | 1 | no | — |
| 367 | #490 | — | 14 | 1 | no | — |
| 368 | #486 | — | 14 | 1 | no | — |
| 369 | #486 | — | 14 | 1 | no | — |
| 370 | C2×#104 | — | 7 | 1 | no | — |
| 371 | C2×#104 | — | 7 | 1 | no | — |
| 372 | C2×#104 | — | 7 | 1 | no | — |
| 373 | C2×#104 | C2×D7 | 1 | 1 | yes | characteristic |
| 374 | #418 | — | 7 | 1 | no | — |
| 375 | #418 | — | 7 | 1 | no | — |
| 376 | #418 | — | 7 | 1 | no | — |
| 377 | #418 | C2×D7 | 1 | 1 | yes | characteristic |
| 378 | C2×#101 | — | 7 | 1 | no | — |
| 379 | C2×#101 | C2×D7 | 1 | 1 | yes | characteristic |
| 380 | C4×M16 | — | 7 | 1 | no | — |
| 381 | C4×M16 | — | 7 | 1 | no | — |
| 382 | #394 | — | 14 | 2 | no | — |
| 383 | #390 | — | 7 | 1 | no | — |
| 384 | #390 | — | 7 | 1 | no | — |
| 385 | #390 | — | 14 | 2 | no | — |
| 386 | C4×C4⋊C4 | — | 7 | 1 | no | — |
| 387 | #343 | — | 7 | 1 | no | — |
| 388 | #343 | — | 7 | 1 | no | — |
| 389 | #339 | — | 7 | 1 | no | — |
| 390 | #339 | — | 7 | 1 | no | — |
| 391 | #339 | — | 7 | 1 | no | — |
| 392 | #339 | C2×D7 | 1 | 1 | yes | characteristic |
| 393 | C23×C7 | — | 2 | 1 | no | — |
| 394 | C23×C7 | — | 4 | 2 | no | — |
| 395 | C23×C7 | — | 4 | 2 | no | — |
| 396 | C23×C7 | — | 4 | 1 | no | — |
| 397 | C23×C7 | — | 4 | 1 | no | — |
| 398 | C23×C7 | — | 4 | 1 | no | — |
| 399 | C23×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 400 | C22×D7 | — | 2 | 1 | no | — |
| 401 | C22×D7 | — | 4 | 2 | no | — |
| 402 | C22×D7 | — | 4 | 2 | no | — |
| 403 | C22×D7 | — | 4 | 1 | no | — |
| 404 | C22×D7 | — | 4 | 1 | no | — |
| 405 | C22×D7 | — | 4 | 1 | no | — |
| 406 | C7×Q8 | — | 2 | 1 | no | — |
| 407 | C7×Q8 | — | 2 | 1 | no | — |
| 408 | C7×Q8 | — | 4 | 1 | no | — |
| 409 | C7×Q8 | — | 4 | 1 | no | — |
| 410 | C7×Q8 | — | 4 | 1 | no | — |
| 411 | C7×Q8 | — | 4 | 1 | no | — |
| 412 | C7×D4 | — | 2 | 1 | no | — |
| 413 | C7×D4 | — | 2 | 1 | no | — |
| 414 | C7×D4 | — | 4 | 1 | no | — |
| 415 | C7×D4 | — | 4 | 1 | no | — |
| 416 | C7×D4 | — | 4 | 1 | no | — |
| 417 | C7×D4 | — | 4 | 1 | no | — |
| 418 | C7×D4 | — | 4 | 1 | no | — |
| 419 | C7×D4 | — | 4 | 1 | no | — |
| 420 | C2×C4×C7 | — | 2 | 2 | no | — |
| 421 | C2×C4×C7 | — | 2 | 1 | no | — |
| 422 | C2×C4×C7 | — | 2 | 1 | no | — |
| 423 | C2×C4×C7 | — | 2 | 1 | no | — |
| 424 | C2×C4×C7 | — | 2 | 2 | no | — |
| 425 | C2×C4×C7 | — | 2 | 2 | no | — |
| 426 | C2×C4×C7 | — | 4 | 1 | no | — |
| 427 | C2×C4×C7 | — | 4 | 1 | no | — |
| 428 | C2×C4×C7 | — | 4 | 1 | no | — |
| 429 | C2×C4×C7 | — | 4 | 1 | no | — |
| 430 | C2×C4×C7 | — | 4 | 1 | no | — |
| 431 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 432 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 433 | C2×C4×C7 | C2×#41 | 1 | 1 | yes | characteristic |
| 434 | C2×C4×C7 | C2×#41 | 1 | 1 | yes | characteristic |
| 435 | C2×C4×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 436 | C2×C4×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 437 | C22⋊D7 | — | 4 | 1 | no | — |
| 438 | C22⋊D7 | — | 4 | 1 | no | — |
| 439 | C22⋊D7 | — | 4 | 2 | no | — |
| 440 | C22⋊D7 | — | 8 | 1 | no | — |
| 441 | C22⋊D7 | — | 8 | 2 | no | — |
| 442 | C22⋊D7 | — | 8 | 2 | no | — |
| 443 | C22⋊D7 | — | 8 | 2 | no | — |
| 444 | C22⋊D7 | — | 8 | 2 | no | — |
| 445 | C2×Dic7 | — | 2 | 2 | no | — |
| 446 | C2×Dic7 | — | 2 | 2 | no | — |
| 447 | C2×Dic7 | — | 2 | 1 | no | — |
| 448 | C2×Dic7 | — | 2 | 1 | no | — |
| 449 | C2×Dic7 | — | 2 | 1 | no | — |
| 450 | C2×Dic7 | — | 4 | 1 | no | — |
| 451 | C2×Dic7 | — | 4 | 2 | no | — |
| 452 | C2×Dic7 | — | 4 | 1 | no | — |
| 453 | C2×Dic7 | — | 4 | 1 | no | — |
| 454 | C2×Dic7 | — | 4 | 1 | no | — |
| 455 | C2×Dic7 | — | 8 | 2 | no | — |
| 456 | C2×Dic7 | #120 | 1 | 1 | yes | characteristic |
| 457 | C2×Dic7 | #120 | 1 | 1 | yes | characteristic |
| 458 | C2×Dic7 | #120 | 1 | 1 | yes | characteristic |
| 459 | C2×Dic7 | #120 | 1 | 1 | yes | characteristic |
| 460 | D28 | — | 2 | 1 | no | — |
| 461 | D28 | — | 2 | 1 | no | — |
| 462 | D28 | — | 4 | 1 | no | — |
| 463 | D28 | — | 4 | 1 | no | — |
| 464 | D28 | — | 4 | 1 | no | — |
| 465 | D28 | — | 4 | 1 | no | — |
| 466 | C4×D7 | — | 4 | 1 | no | — |
| 467 | C4×D7 | — | 4 | 1 | no | — |
| 468 | C4×D7 | — | 8 | 2 | no | — |
| 469 | Dic14 | — | 2 | 1 | no | — |
| 470 | Dic14 | — | 2 | 1 | no | — |
| 471 | Dic14 | — | 4 | 2 | no | — |
| 472 | Dic14 | — | 8 | 1 | no | — |
| 473 | C7×C8 | — | 2 | 2 | no | — |
| 474 | C7×C8 | — | 4 | 1 | no | — |
| 475 | C7⋊C8 | — | 2 | 2 | no | — |
| 476 | C7⋊C8 | — | 4 | 1 | no | — |
| 477 | C2×#41 | — | 7 | 1 | no | — |
| 478 | C2×#41 | C22×D7 | 1 | 1 | yes | characteristic |
| 479 | C22×Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 480 | C22×D4 | — | 7 | 1 | no | — |
| 481 | C22×D4 | — | 14 | 1 | no | — |
| 482 | C22×D4 | — | 14 | 1 | no | — |
| 483 | C22×D4 | C22×D7 | 1 | 1 | yes | characteristic |
| 484 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 485 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 486 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 487 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 488 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 489 | AGL(1,ℤ/8) | — | 28 | 1 | no | — |
| 490 | AGL(1,ℤ/8) | — | 28 | 1 | no | — |
| 491 | AGL(1,ℤ/8) | — | 28 | 1 | no | — |
| 492 | C2×SD16 | — | 2 | 1 | no | — |
| 493 | C2×SD16 | — | 14 | 1 | no | — |
| 494 | C2×SD16 | — | 14 | 1 | no | — |
| 495 | C2×SD16 | — | 14 | 1 | no | — |
| 496 | C2×D8 | — | 2 | 1 | no | — |
| 497 | C2×D8 | — | 14 | 1 | no | — |
| 498 | C2×D8 | — | 14 | 1 | no | — |
| 499 | C2×D8 | — | 14 | 1 | no | — |
| 500 | C2×M16 | — | 7 | 1 | no | — |
| 501 | C2×M16 | — | 7 | 1 | no | — |
| 502 | C2×M16 | C22×D7 | 1 | 1 | yes | characteristic |
| 503 | C2×M16 | C22×D7 | 1 | 1 | yes | characteristic |
| 504 | C4⋊Q8 | — | 2 | 1 | no | — |
| 505 | C4⋊Q8 | — | 7 | 1 | no | — |
| 506 | C4⋊Q8 | — | 7 | 1 | no | — |
| 507 | C4⋊Q8 | — | 7 | 1 | no | — |
| 508 | C4⋊Q8 | — | 14 | 1 | no | — |
| 509 | #127 | — | 7 | 1 | no | — |
| 510 | #127 | — | 14 | 1 | no | — |
| 511 | #127 | — | 14 | 1 | no | — |
| 512 | #127 | — | 14 | 1 | no | — |
| 513 | #127 | — | 14 | 1 | no | — |
| 514 | #126 | — | 14 | 2 | no | — |
| 515 | #126 | — | 14 | 2 | no | — |
| 516 | #126 | — | 14 | 2 | no | — |
| 517 | #126 | — | 14 | 2 | no | — |
| 518 | #125 | — | 7 | 1 | no | — |
| 519 | #125 | — | 7 | 1 | no | — |
| 520 | #125 | — | 14 | 2 | no | — |
| 521 | #125 | — | 14 | 2 | no | — |
| 522 | #125 | — | 14 | 2 | no | — |
| 523 | #124 | — | 2 | 1 | no | — |
| 524 | #124 | — | 4 | 1 | no | — |
| 525 | #124 | — | 4 | 1 | no | — |
| 526 | #124 | — | 7 | 1 | no | — |
| 527 | #124 | — | 7 | 1 | no | — |
| 528 | #124 | — | 14 | 2 | no | — |
| 529 | #124 | — | 14 | 1 | no | — |
| 530 | #124 | — | 28 | 1 | no | — |
| 531 | #124 | — | 28 | 1 | no | — |
| 532 | #123 | — | 2 | 2 | no | — |
| 533 | #123 | — | 14 | 2 | no | — |
| 534 | #123 | — | 14 | 2 | no | — |
| 535 | #123 | — | 14 | 2 | no | — |
| 536 | C22⋊Q8 | — | 2 | 1 | no | — |
| 537 | C22⋊Q8 | — | 2 | 1 | no | — |
| 538 | C22⋊Q8 | — | 14 | 1 | no | — |
| 539 | C22⋊Q8 | — | 14 | 1 | no | — |
| 540 | C22⋊Q8 | — | 14 | 2 | no | — |
| 541 | C22⋊Q8 | — | 14 | 2 | no | — |
| 542 | C22⋊Q8 | — | 14 | 1 | no | — |
| 543 | C22⋊Q8 | — | 14 | 1 | no | — |
| 544 | #121 | — | 14 | 1 | no | — |
| 545 | #121 | — | 14 | 1 | no | — |
| 546 | C4×Q8 | — | 14 | 1 | no | — |
| 547 | C4×Q8 | — | 14 | 1 | no | — |
| 548 | C4×Q8 | — | 14 | 1 | no | — |
| 549 | C4×Q8 | — | 14 | 1 | no | — |
| 550 | C4×Q8 | — | 14 | 1 | no | — |
| 551 | C4×Q8 | — | 14 | 1 | no | — |
| 552 | C4×Q8 | — | 14 | 1 | no | — |
| 553 | C4×Q8 | — | 14 | 2 | no | — |
| 554 | C4×Q8 | — | 14 | 1 | no | — |
| 555 | C4×D4 | — | 14 | 1 | no | — |
| 556 | C4×D4 | — | 14 | 1 | no | — |
| 557 | C4×D4 | — | 14 | 1 | no | — |
| 558 | C4×D4 | — | 14 | 2 | no | — |
| 559 | C4×D4 | — | 14 | 2 | no | — |
| 560 | C4×D4 | — | 14 | 2 | no | — |
| 561 | C4×D4 | — | 14 | 1 | no | — |
| 562 | #117 | — | 7 | 1 | no | — |
| 563 | #117 | — | 14 | 2 | no | — |
| 564 | #117 | — | 14 | 2 | no | — |
| 565 | #117 | — | 14 | 1 | no | — |
| 566 | #117 | — | 14 | 1 | no | — |
| 567 | #117 | C22×D7 | 1 | 1 | yes | characteristic |
| 568 | C2×C4⋊C4 | — | 7 | 2 | no | — |
| 569 | C2×C4⋊C4 | — | 7 | 1 | no | — |
| 570 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 571 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 572 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 573 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 574 | C2×C22⋊C4 | — | 14 | 2 | no | — |
| 575 | C2×C22⋊C4 | — | 14 | 2 | no | — |
| 576 | C2×C22⋊C4 | — | 14 | 2 | no | — |
| 577 | C2×C42 | — | 7 | 1 | no | — |
| 578 | C2×C42 | — | 7 | 2 | no | — |
| 579 | C2×C42 | — | 7 | 1 | no | — |
| 580 | C2×C42 | C22×D7 | 1 | 1 | yes | characteristic |
| 581 | #104 | — | 4 | 1 | no | — |
| 582 | #104 | — | 28 | 1 | no | — |
| 583 | #104 | — | 28 | 1 | no | — |
| 584 | #104 | — | 28 | 1 | no | — |
| 585 | #102 | — | 2 | 1 | no | — |
| 586 | #102 | — | 2 | 1 | no | — |
| 587 | #102 | — | 14 | 1 | no | — |
| 588 | #102 | — | 14 | 1 | no | — |
| 589 | #102 | — | 14 | 1 | no | — |
| 590 | #102 | — | 14 | 1 | no | — |
| 591 | #102 | — | 14 | 1 | no | — |
| 592 | #102 | — | 14 | 1 | no | — |
| 593 | #101 | — | 2 | 2 | no | — |
| 594 | #101 | — | 14 | 2 | no | — |
| 595 | #97 | — | 14 | 1 | no | — |
| 596 | #97 | — | 14 | 1 | no | — |
| 597 | C4×C8 | — | 14 | 1 | no | — |
| 598 | C4×C8 | — | 14 | 1 | no | — |
| 599 | #95 | — | 14 | 1 | no | — |
| 600 | C22×C7 | — | 2 | 1 | no | — |
| 601 | C22×C7 | — | 2 | 1 | no | — |
| 602 | C22×C7 | — | 4 | 1 | no | — |
| 603 | C22×C7 | — | 4 | 1 | no | — |
| 604 | C22×C7 | — | 4 | 1 | no | — |
| 605 | C22×C7 | — | 8 | 2 | no | — |
| 606 | C22×C7 | — | 8 | 2 | no | — |
| 607 | C22×C7 | — | 8 | 1 | no | — |
| 608 | C22×C7 | — | 8 | 1 | no | — |
| 609 | C22×C7 | — | 8 | 1 | no | — |
| 610 | C22×C7 | C2×#120 | 1 | 1 | yes | characteristic |
| 611 | C22×C7 | #532 | 1 | 1 | yes | characteristic |
| 612 | C22×C7 | #535 | 1 | 1 | yes | characteristic |
| 613 | C2×D7 | — | 4 | 1 | no | — |
| 614 | C2×D7 | — | 4 | 1 | no | — |
| 615 | C2×D7 | — | 4 | 1 | no | — |
| 616 | C2×D7 | — | 8 | 2 | no | — |
| 617 | C2×D7 | — | 8 | 2 | no | — |
| 618 | C2×D7 | — | 8 | 1 | no | — |
| 619 | C2×D7 | — | 8 | 1 | no | — |
| 620 | C2×D7 | — | 8 | 1 | no | — |
| 621 | C4×C7 | — | 4 | 2 | no | — |
| 622 | C4×C7 | — | 4 | 1 | no | — |
| 623 | C4×C7 | — | 4 | 1 | no | — |
| 624 | C4×C7 | — | 4 | 1 | no | — |
| 625 | C4×C7 | — | 8 | 1 | no | — |
| 626 | C4×C7 | #546 | 1 | 1 | yes | characteristic |
| 627 | C4×C7 | #546 | 1 | 1 | yes | characteristic |
| 628 | C4×C7 | #550 | 1 | 1 | yes | characteristic |
| 629 | C4×C7 | #550 | 1 | 1 | yes | characteristic |
| 630 | Dic7 | — | 2 | 1 | no | — |
| 631 | Dic7 | — | 2 | 1 | no | — |
| 632 | Dic7 | — | 2 | 1 | no | — |
| 633 | Dic7 | — | 4 | 1 | no | — |
| 634 | Dic7 | — | 4 | 1 | no | — |
| 635 | Dic7 | — | 4 | 1 | no | — |
| 636 | Dic7 | — | 4 | 2 | no | — |
| 637 | Dic7 | — | 8 | 1 | no | — |
| 638 | Dic7 | #454 | 1 | 2 | yes | — |
| 639 | C24 | — | 2 | 1 | no | — |
| 640 | C24 | — | 14 | 1 | no | — |
| 641 | #41 | — | 2 | 1 | no | — |
| 642 | #41 | — | 2 | 1 | no | — |
| 643 | #41 | — | 2 | 1 | no | — |
| 644 | #41 | — | 2 | 1 | no | — |
| 645 | #41 | — | 14 | 1 | no | — |
| 646 | #41 | — | 14 | 1 | no | — |
| 647 | #41 | — | 14 | 1 | no | — |
| 648 | #41 | — | 14 | 1 | no | — |
| 649 | C2×Q8 | — | 2 | 1 | no | — |
| 650 | C2×Q8 | — | 2 | 1 | no | — |
| 651 | C2×Q8 | — | 2 | 1 | no | — |
| 652 | C2×Q8 | — | 2 | 1 | no | — |
| 653 | C2×Q8 | — | 2 | 1 | no | — |
| 654 | C2×Q8 | — | 2 | 1 | no | — |
| 655 | C2×Q8 | — | 7 | 1 | no | — |
| 656 | C2×Q8 | — | 14 | 1 | no | — |
| 657 | C2×Q8 | — | 14 | 1 | no | — |
| 658 | C2×Q8 | D4×D7 | 1 | 1 | yes | characteristic |
| 659 | C2×D4 | — | 2 | 1 | no | — |
| 660 | C2×D4 | — | 2 | 1 | no | — |
| 661 | C2×D4 | — | 2 | 1 | no | — |
| 662 | C2×D4 | — | 2 | 1 | no | — |
| 663 | C2×D4 | — | 2 | 1 | no | — |
| 664 | C2×D4 | — | 2 | 1 | no | — |
| 665 | C2×D4 | — | 2 | 1 | no | — |
| 666 | C2×D4 | — | 7 | 1 | no | — |
| 667 | C2×D4 | — | 14 | 1 | no | — |
| 668 | C2×D4 | — | 14 | 1 | no | — |
| 669 | C2×D4 | — | 14 | 1 | no | — |
| 670 | C2×D4 | — | 14 | 1 | no | — |
| 671 | C2×D4 | — | 14 | 1 | no | — |
| 672 | C2×D4 | — | 14 | 1 | no | — |
| 673 | C2×D4 | — | 14 | 1 | no | — |
| 674 | C2×D4 | — | 14 | 1 | no | — |
| 675 | C2×D4 | — | 14 | 1 | no | — |
| 676 | C2×D4 | — | 28 | 1 | no | — |
| 677 | C2×D4 | — | 28 | 1 | no | — |
| 678 | C2×D4 | — | 28 | 1 | no | — |
| 679 | C2×D4 | — | 28 | 1 | no | — |
| 680 | C2×D4 | — | 28 | 4 | no | — |
| 681 | C2×D4 | — | 56 | 2 | no | — |
| 682 | C2×D4 | D4×D7 | 1 | 1 | yes | characteristic |
| 683 | C22×C4 | — | 2 | 1 | no | — |
| 684 | C22×C4 | — | 2 | 1 | no | — |
| 685 | C22×C4 | — | 7 | 1 | no | — |
| 686 | C22×C4 | — | 7 | 1 | no | — |
| 687 | C22×C4 | — | 7 | 2 | no | — |
| 688 | C22×C4 | — | 14 | 2 | no | — |
| 689 | C22×C4 | — | 14 | 2 | no | — |
| 690 | C22×C4 | — | 14 | 1 | no | — |
| 691 | C22×C4 | — | 14 | 1 | no | — |
| 692 | C22×C4 | D4×D7 | 1 | 2 | yes | — |
| 693 | C22×C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 694 | SD16 | — | 4 | 2 | no | — |
| 695 | SD16 | — | 28 | 2 | no | — |
| 696 | SD16 | — | 28 | 2 | no | — |
| 697 | SD16 | — | 28 | 2 | no | — |
| 698 | D8 | — | 4 | 2 | no | — |
| 699 | D8 | — | 28 | 2 | no | — |
| 700 | D8 | — | 28 | 2 | no | — |
| 701 | D8 | — | 28 | 2 | no | — |
| 702 | M16 | — | 2 | 1 | no | — |
| 703 | M16 | — | 2 | 1 | no | — |
| 704 | M16 | — | 2 | 1 | no | — |
| 705 | M16 | — | 7 | 2 | no | — |
| 706 | M16 | — | 14 | 1 | no | — |
| 707 | M16 | — | 14 | 1 | no | — |
| 708 | M16 | — | 14 | 1 | no | — |
| 709 | M16 | #1159 | 1 | 2 | yes | — |
| 710 | C2×C8 | — | 2 | 1 | no | — |
| 711 | C2×C8 | — | 2 | 1 | no | — |
| 712 | C2×C8 | — | 14 | 1 | no | — |
| 713 | C2×C8 | — | 14 | 1 | no | — |
| 714 | C4⋊C4 | — | 2 | 2 | no | — |
| 715 | C4⋊C4 | — | 2 | 2 | no | — |
| 716 | C4⋊C4 | — | 7 | 1 | no | — |
| 717 | C4⋊C4 | — | 7 | 1 | no | — |
| 718 | C4⋊C4 | — | 14 | 1 | no | — |
| 719 | C4⋊C4 | — | 14 | 1 | no | — |
| 720 | C4⋊C4 | — | 14 | 1 | no | — |
| 721 | C4⋊C4 | — | 14 | 1 | no | — |
| 722 | C4⋊C4 | — | 14 | 1 | no | — |
| 723 | C4⋊C4 | — | 14 | 1 | no | — |
| 724 | C4⋊C4 | — | 14 | 2 | no | — |
| 725 | C4⋊C4 | — | 14 | 2 | no | — |
| 726 | C4⋊C4 | — | 14 | 1 | no | — |
| 727 | C4⋊C4 | — | 14 | 1 | no | — |
| 728 | C4⋊C4 | — | 14 | 2 | no | — |
| 729 | C4⋊C4 | — | 14 | 2 | no | — |
| 730 | C4⋊C4 | — | 14 | 2 | no | — |
| 731 | C4⋊C4 | — | 14 | 2 | no | — |
| 732 | C4⋊C4 | — | 14 | 1 | no | — |
| 733 | C4⋊C4 | — | 14 | 1 | no | — |
| 734 | C4⋊C4 | — | 28 | 2 | no | — |
| 735 | C4⋊C4 | D4×D7 | 1 | 1 | yes | characteristic |
| 736 | C4⋊C4 | D4×D7 | 1 | 1 | yes | characteristic |
| 737 | C22⋊C4 | — | 2 | 2 | no | — |
| 738 | C22⋊C4 | — | 2 | 2 | no | — |
| 739 | C22⋊C4 | — | 2 | 1 | no | — |
| 740 | C22⋊C4 | — | 4 | 4 | no | — |
| 741 | C22⋊C4 | — | 14 | 1 | no | — |
| 742 | C22⋊C4 | — | 14 | 1 | no | — |
| 743 | C22⋊C4 | — | 14 | 2 | no | — |
| 744 | C22⋊C4 | — | 14 | 2 | no | — |
| 745 | C22⋊C4 | — | 14 | 2 | no | — |
| 746 | C22⋊C4 | — | 14 | 1 | no | — |
| 747 | C22⋊C4 | — | 14 | 1 | no | — |
| 748 | C22⋊C4 | — | 14 | 2 | no | — |
| 749 | C22⋊C4 | — | 14 | 1 | no | — |
| 750 | C22⋊C4 | — | 28 | 4 | no | — |
| 751 | C22⋊C4 | — | 56 | 2 | no | — |
| 752 | C22⋊C4 | — | 56 | 2 | no | — |
| 753 | C42 | — | 2 | 1 | no | — |
| 754 | C42 | — | 2 | 1 | no | — |
| 755 | C42 | — | 2 | 1 | no | — |
| 756 | C42 | — | 7 | 1 | no | — |
| 757 | C42 | — | 7 | 1 | no | — |
| 758 | C42 | — | 7 | 1 | no | — |
| 759 | C42 | — | 7 | 1 | no | — |
| 760 | C42 | — | 14 | 2 | no | — |
| 761 | C42 | — | 14 | 2 | no | — |
| 762 | C42 | — | 14 | 2 | no | — |
| 763 | C42 | — | 14 | 2 | no | — |
| 764 | C42 | — | 14 | 1 | no | — |
| 765 | C42 | — | 14 | 1 | no | — |
| 766 | C42 | — | 14 | 1 | no | — |
| 767 | C2×C7 | — | 2 | 1 | no | — |
| 768 | C2×C7 | — | 2 | 1 | no | — |
| 769 | C2×C7 | — | 8 | 1 | no | — |
| 770 | C2×C7 | — | 16 | 1 | no | — |
| 771 | C2×C7 | #2431 | 1 | 1 | yes | characteristic |
| 772 | C2×C7 | C2×#454 | 1 | 1 | yes | characteristic |
| 773 | C2×C7 | #3021 | 1 | 1 | yes | characteristic |
| 774 | D7 | — | 8 | 1 | no | — |
| 775 | D7 | — | 16 | 1 | no | — |
| 776 | C23 | — | 2 | 1 | no | — |
| 777 | C23 | — | 4 | 2 | no | — |
| 778 | C23 | — | 4 | 2 | no | — |
| 779 | C23 | — | 4 | 1 | no | — |
| 780 | C23 | — | 4 | 1 | no | — |
| 781 | C23 | — | 4 | 1 | no | — |
| 782 | C23 | — | 14 | 1 | no | — |
| 783 | C23 | — | 28 | 2 | no | — |
| 784 | C23 | — | 28 | 2 | no | — |
| 785 | C23 | — | 28 | 1 | no | — |
| 786 | C23 | — | 28 | 1 | no | — |
| 787 | C23 | — | 28 | 1 | no | — |
| 788 | C23 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 789 | Q8 | — | 2 | 1 | no | — |
| 790 | Q8 | — | 2 | 1 | no | — |
| 791 | Q8 | — | 4 | 1 | no | — |
| 792 | Q8 | — | 4 | 1 | no | — |
| 793 | Q8 | — | 4 | 1 | no | — |
| 794 | Q8 | — | 4 | 1 | no | — |
| 795 | Q8 | — | 14 | 1 | no | — |
| 796 | Q8 | — | 14 | 1 | no | — |
| 797 | Q8 | — | 28 | 2 | no | — |
| 798 | Q8 | — | 56 | 1 | no | — |
| 799 | D4 | — | 2 | 1 | no | — |
| 800 | D4 | — | 2 | 1 | no | — |
| 801 | D4 | — | 4 | 1 | no | — |
| 802 | D4 | — | 4 | 1 | no | — |
| 803 | D4 | — | 4 | 1 | no | — |
| 804 | D4 | — | 4 | 1 | no | — |
| 805 | D4 | — | 4 | 1 | no | — |
| 806 | D4 | — | 4 | 1 | no | — |
| 807 | D4 | — | 14 | 1 | no | — |
| 808 | D4 | — | 14 | 1 | no | — |
| 809 | D4 | — | 28 | 2 | no | — |
| 810 | D4 | — | 28 | 1 | no | — |
| 811 | D4 | — | 28 | 1 | no | — |
| 812 | D4 | — | 28 | 1 | no | — |
| 813 | D4 | — | 28 | 1 | no | — |
| 814 | D4 | — | 28 | 1 | no | — |
| 815 | D4 | — | 28 | 1 | no | — |
| 816 | D4 | — | 56 | 2 | no | — |
| 817 | D4 | — | 56 | 1 | no | — |
| 818 | D4 | — | 56 | 2 | no | — |
| 819 | D4 | — | 56 | 2 | no | — |
| 820 | D4 | — | 56 | 2 | no | — |
| 821 | C2×C4 | — | 2 | 1 | no | — |
| 822 | C2×C4 | — | 2 | 1 | no | — |
| 823 | C2×C4 | — | 2 | 2 | no | — |
| 824 | C2×C4 | — | 2 | 1 | no | — |
| 825 | C2×C4 | — | 2 | 2 | no | — |
| 826 | C2×C4 | — | 2 | 2 | no | — |
| 827 | C2×C4 | — | 4 | 1 | no | — |
| 828 | C2×C4 | — | 4 | 1 | no | — |
| 829 | C2×C4 | — | 4 | 1 | no | — |
| 830 | C2×C4 | — | 4 | 1 | no | — |
| 831 | C2×C4 | — | 4 | 1 | no | — |
| 832 | C2×C4 | — | 7 | 1 | no | — |
| 833 | C2×C4 | — | 7 | 1 | no | — |
| 834 | C2×C4 | — | 7 | 1 | no | — |
| 835 | C2×C4 | — | 7 | 1 | no | — |
| 836 | C2×C4 | — | 14 | 2 | no | — |
| 837 | C2×C4 | — | 14 | 2 | no | — |
| 838 | C2×C4 | — | 14 | 1 | no | — |
| 839 | C2×C4 | — | 14 | 1 | no | — |
| 840 | C2×C4 | — | 14 | 1 | no | — |
| 841 | C2×C4 | — | 28 | 1 | no | — |
| 842 | C2×C4 | — | 28 | 1 | no | — |
| 843 | C2×C4 | — | 28 | 1 | no | — |
| 844 | C2×C4 | — | 28 | 2 | no | — |
| 845 | C2×C4 | — | 28 | 1 | no | — |
| 846 | C2×C4 | — | 28 | 1 | no | — |
| 847 | C2×C4 | — | 28 | 1 | no | — |
| 848 | C2×C4 | — | 56 | 2 | no | — |
| 849 | C2×C4 | — | 56 | 2 | no | — |
| 850 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 851 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 852 | C2×C4 | C2×#1159 | 1 | 1 | yes | characteristic |
| 853 | C2×C4 | #6548 | 1 | 1 | yes | characteristic |
| 854 | C2×C4 | #6548 | 1 | 1 | yes | characteristic |
| 855 | C2×C4 | D7×#41 | 1 | 1 | yes | characteristic |
| 856 | C8 | — | 2 | 2 | no | — |
| 857 | C8 | — | 4 | 1 | no | — |
| 858 | C8 | — | 14 | 2 | no | — |
| 859 | C8 | — | 28 | 1 | no | — |
| 860 | C7 | #25624 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 861 | C22 | — | 2 | 1 | no | — |
| 862 | C22 | — | 2 | 1 | no | — |
| 863 | C22 | — | 4 | 1 | no | — |
| 864 | C22 | — | 4 | 1 | no | — |
| 865 | C22 | — | 4 | 1 | no | — |
| 866 | C22 | — | 8 | 2 | no | — |
| 867 | C22 | — | 8 | 2 | no | — |
| 868 | C22 | — | 8 | 1 | no | — |
| 869 | C22 | — | 8 | 1 | no | — |
| 870 | C22 | — | 8 | 1 | no | — |
| 871 | C22 | — | 28 | 1 | no | — |
| 872 | C22 | — | 28 | 1 | no | — |
| 873 | C22 | — | 28 | 1 | no | — |
| 874 | C22 | — | 56 | 2 | no | — |
| 875 | C22 | — | 56 | 2 | no | — |
| 876 | C22 | — | 56 | 1 | no | — |
| 877 | C22 | — | 56 | 1 | no | — |
| 878 | C22 | — | 56 | 1 | no | — |
| 879 | C22 | D7×#120 | 1 | 1 | yes | characteristic |
| 880 | C22 | #90283 | 1 | 1 | yes | characteristic |
| 881 | C22 | #90287 | 1 | 1 | yes | characteristic |
| 882 | C4 | — | 4 | 2 | no | — |
| 883 | C4 | — | 4 | 1 | no | — |
| 884 | C4 | — | 4 | 1 | no | — |
| 885 | C4 | — | 4 | 1 | no | — |
| 886 | C4 | — | 7 | 2 | no | — |
| 887 | C4 | — | 8 | 1 | no | — |
| 888 | C4 | — | 14 | 1 | no | — |
| 889 | C4 | — | 14 | 1 | no | — |
| 890 | C4 | — | 14 | 1 | no | — |
| 891 | C4 | — | 28 | 1 | no | — |
| 892 | C4 | — | 28 | 1 | no | — |
| 893 | C4 | — | 28 | 2 | no | — |
| 894 | C4 | — | 28 | 1 | no | — |
| 895 | C4 | — | 56 | 1 | no | — |
| 896 | C4 | #90282 | 1 | 1 | yes | characteristic |
| 897 | C4 | #90290 | 1 | 1 | yes | characteristic |
| 898 | C4 | #90301 | 1 | 1 | yes | characteristic |
| 899 | C4 | #90409 | 1 | 1 | yes | characteristic |
| 900 | C2 | — | 2 | 1 | no | — |
| 901 | C2 | — | 2 | 1 | no | — |
| 902 | C2 | — | 8 | 1 | no | — |
| 903 | C2 | — | 16 | 1 | no | — |
| 904 | C2 | — | 56 | 1 | no | — |
| 905 | C2 | — | 112 | 1 | no | — |
| 906 | C2 | #11734117 | 1 | 1 | yes | characteristic |
| 907 | C2 | D7×#454 | 1 | 1 | yes | characteristic |
| 908 | C2 | #11737731 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11743410 | C2 | semidirect |
| 3. #11740419 | C2 | semidirect |
| 4. #11736366 | C2 | semidirect |
| 5. C7×#2003 | C2 | semidirect |
| 6. #11729842 | C2 | semidirect |
| 7. #11729621 | C2 | semidirect |
| 8. #11729484 | C2 | semidirect |
| 9. #11728120 | C2 | semidirect |
| 10. #11728112 | C2 | semidirect |
| 11. #11728082 | C2 | semidirect |
| 12. #11727870 | C2 | semidirect |
| 13. Dic7×#101 | C2 | semidirect |
| 14. #11726530 | C2 | semidirect |
| 15. #11726484 | C2 | semidirect |
| 202. #2003 | D7 | semidirect |
| 860. C7 | #25624 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11743410 | 2 |
| #11741382 | 2 |
| #11740419 | 2 |
| #11736366 | 2 |
| C7×#2003 | 2 |
| #11729842 | 2 |
| #11729621 | 2 |
| #11729484 | 2 |
| #11728120 | 2 |
| #11728112 | 2 |
| #11728082 | 2 |
| #11727870 | 2 |
| Dic7×#101 | 2 |
| #11726530 | 2 |
| #11726484 | 2 |
| #25624 | 7 |