Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
1152 conjugacy classes of subgroups.
The subgroup lattice has 780 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11743133 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11741402 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #11740862 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11736428 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C7×#2003 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11729843 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11729618 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11729484 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11728122 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11728084 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11728068 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11727878 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11727859 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11726533 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11726491 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #90616 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×C7×AGL(1,ℤ/8) | C22 | 1 | 1 | yes | characteristic |
| 18 | C7×#536 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C7×#124 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | #90507 | C22 | 1 | 1 | yes | characteristic |
| 21 | #90507 | C22 | 1 | 1 | yes | characteristic |
| 22 | #90503 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #90496 | C22 | 1 | 1 | yes | characteristic |
| 24 | #90489 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C2×#6495 | C22 | 1 | 1 | yes | characteristic |
| 26 | #90436 | C22 | 1 | 1 | yes | characteristic |
| 27 | #90373 | — | 2 | 2 | no | — |
| 28 | #90372 | — | 2 | 2 | no | — |
| 29 | #90371 | — | 2 | 2 | no | — |
| 30 | #90362 | — | 2 | 2 | no | — |
| 31 | #90186 | — | 2 | 4 | no | — |
| 32 | C4×#1157 | C22 | 1 | 1 | yes | characteristic |
| 33 | #90161 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C2×C7×#104 | C22 | 1 | 1 | yes | characteristic |
| 35 | C7×#418 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | C2×C7×#101 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | #90012 | C22 | 1 | 1 | yes | characteristic |
| 38 | #90008 | C22 | 1 | 1 | yes | characteristic |
| 39 | #90008 | C22 | 1 | 1 | yes | characteristic |
| 40 | C2×#6410 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #89987 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #89973 | — | 2 | 2 | no | — |
| 43 | #89970 | — | 2 | 2 | no | — |
| 44 | #89911 | C22 | 1 | 1 | yes | characteristic |
| 45 | #89911 | C22 | 1 | 1 | yes | characteristic |
| 46 | #89904 | C22 | 1 | 1 | yes | characteristic |
| 47 | #89825 | — | 2 | 4 | no | — |
| 48 | #89778 | C22 | 1 | 1 | yes | characteristic |
| 49 | #89778 | C22 | 1 | 1 | yes | characteristic |
| 50 | C2×#6379 | C22 | 1 | 1 | yes | characteristic |
| 51 | #89593 | — | 2 | 2 | no | — |
| 52 | D7×#104 | — | 2 | 2 | no | — |
| 53 | C7×#339 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #89354 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #89352 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #89352 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #89351 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #89326 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #89326 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #89318 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #23993 | — | 7 | 1 | no | maximal, Sylow |
| 62 | C2×C7×#41 | C23 | 1 | 1 | yes | characteristic |
| 63 | C22×C7×Q8 | C23 | 1 | 1 | yes | characteristic |
| 64 | C22×C7×D4 | C23 | 1 | 1 | yes | characteristic |
| 65 | #6554 | — | 2 | 1 | no | — |
| 66 | #6554 | — | 2 | 1 | no | — |
| 67 | #6553 | — | 2 | 1 | no | — |
| 68 | #6553 | — | 2 | 1 | no | — |
| 69 | D7×#41 | — | 2 | 2 | no | — |
| 70 | D7×#41 | — | 4 | 1 | no | — |
| 71 | #6551 | — | 2 | 1 | no | — |
| 72 | #6548 | — | 2 | 1 | no | — |
| 73 | #6548 | — | 2 | 2 | no | — |
| 74 | C2×#1157 | — | 4 | 1 | no | — |
| 75 | C2×#1157 | C23 | 1 | 1 | yes | characteristic |
| 76 | C2×#1157 | C23 | 1 | 1 | yes | characteristic |
| 77 | C7×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 78 | C7×AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 79 | C2×C7×SD16 | — | 2 | 1 | no | — |
| 80 | C2×C7×D8 | — | 2 | 1 | no | — |
| 81 | C2×C7×M16 | C23 | 1 | 1 | yes | characteristic |
| 82 | C2×C7×M16 | C23 | 1 | 1 | yes | characteristic |
| 83 | C7×C4⋊Q8 | — | 2 | 1 | no | — |
| 84 | C7×#124 | — | 2 | 2 | no | — |
| 85 | C7×#124 | — | 2 | 1 | no | — |
| 86 | C7×#124 | — | 2 | 1 | no | — |
| 87 | C7×#124 | — | 2 | 1 | no | — |
| 88 | C7×#123 | — | 2 | 2 | no | — |
| 89 | C7×C22⋊Q8 | — | 4 | 1 | no | — |
| 90 | C7×#117 | C23 | 1 | 1 | yes | characteristic |
| 91 | C2×C7×C22⋊C4 | — | 2 | 2 | no | — |
| 92 | C2×C42×C7 | C23 | 1 | 1 | yes | characteristic |
| 93 | #6516 | — | 2 | 2 | no | — |
| 94 | C2×C22⋊Dic7 | — | 2 | 2 | no | — |
| 95 | #6510 | — | 2 | 1 | no | — |
| 96 | #6510 | — | 2 | 1 | no | — |
| 97 | #6509 | — | 2 | 2 | no | — |
| 98 | #6509 | — | 4 | 1 | no | — |
| 99 | Q8×Dic7 | — | 2 | 2 | no | — |
| 100 | Q8×Dic7 | — | 2 | 2 | no | — |
| 101 | #6507 | — | 2 | 1 | no | — |
| 102 | #6507 | — | 2 | 1 | no | — |
| 103 | #6503 | D4 | 1 | 2 | yes | — |
| 104 | #6501 | — | 2 | 2 | no | — |
| 105 | #6499 | D4 | 1 | 2 | yes | — |
| 106 | D4×Dic7 | — | 2 | 2 | no | — |
| 107 | D4×Dic7 | — | 2 | 2 | no | — |
| 108 | C2×#1142 | — | 2 | 1 | no | — |
| 109 | #6495 | — | 2 | 2 | no | — |
| 110 | #6495 | — | 4 | 1 | no | — |
| 111 | C2×#1141 | — | 2 | 1 | no | — |
| 112 | #6492 | — | 2 | 2 | no | — |
| 113 | #6492 | D4 | 1 | 4 | yes | — |
| 114 | C4×C22⋊D7 | — | 2 | 2 | no | — |
| 115 | #6489 | — | 2 | 2 | no | — |
| 116 | #6489 | C23 | 1 | 1 | yes | characteristic |
| 117 | #6489 | C23 | 1 | 1 | yes | characteristic |
| 118 | #6489 | C23 | 1 | 1 | yes | characteristic |
| 119 | #6489 | C23 | 1 | 1 | yes | characteristic |
| 120 | #6487 | — | 2 | 2 | no | — |
| 121 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 122 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 123 | #6470 | — | 4 | 1 | no | — |
| 124 | D7×M16 | — | 2 | 2 | no | — |
| 125 | #6464 | — | 4 | 1 | no | — |
| 126 | #6449 | — | 2 | 4 | no | — |
| 127 | #6448 | — | 2 | 4 | no | — |
| 128 | #6446 | — | 2 | 4 | no | — |
| 129 | (C22⋊D7)⋊C4 | — | 2 | 4 | no | — |
| 130 | #6442 | — | 2 | 4 | no | — |
| 131 | #6442 | — | 2 | 4 | no | — |
| 132 | #6441 | — | 2 | 4 | no | — |
| 133 | #6440 | — | 2 | 4 | no | — |
| 134 | C4×D28 | — | 2 | 1 | no | — |
| 135 | #6435 | D4 | 1 | 2 | yes | — |
| 136 | C42×D7 | D4 | 1 | 2 | yes | — |
| 137 | #6433 | — | 2 | 1 | no | — |
| 138 | #6432 | — | 2 | 1 | no | — |
| 139 | C4×Dic14 | — | 2 | 1 | no | — |
| 140 | C4×Dic14 | — | 2 | 2 | no | — |
| 141 | C7×#104 | — | 2 | 1 | no | — |
| 142 | C7×#104 | — | 2 | 1 | no | — |
| 143 | C7×#102 | — | 4 | 1 | no | — |
| 144 | C7×#101 | — | 4 | 1 | no | — |
| 145 | #6411 | — | 2 | 2 | no | — |
| 146 | #6411 | — | 2 | 2 | no | — |
| 147 | #6410 | — | 4 | 1 | no | — |
| 148 | #6408 | — | 2 | 2 | no | — |
| 149 | #6406 | — | 4 | 1 | no | — |
| 150 | #6399 | — | 2 | 2 | no | — |
| 151 | #6399 | — | 2 | 2 | no | — |
| 152 | #6398 | — | 2 | 1 | no | — |
| 153 | #6397 | — | 2 | 1 | no | — |
| 154 | #6380 | — | 2 | 2 | no | — |
| 155 | #6380 | — | 2 | 2 | no | — |
| 156 | #6379 | — | 2 | 1 | no | — |
| 157 | #6379 | — | 2 | 1 | no | — |
| 158 | #3510 | — | 7 | 1 | no | — |
| 159 | #3028 | — | 7 | 1 | no | — |
| 160 | #3021 | — | 7 | 1 | no | — |
| 161 | #2901 | — | 7 | 1 | no | — |
| 162 | #2031 | — | 7 | 1 | no | — |
| 163 | #2031 | — | 7 | 1 | no | — |
| 164 | #2003 | — | 7 | 1 | no | — |
| 165 | #2003 | D7 | 1 | 1 | yes | characteristic, complemented |
| 166 | #1915 | — | 7 | 1 | no | — |
| 167 | #1912 | — | 7 | 1 | no | — |
| 168 | #1912 | — | 7 | 1 | no | — |
| 169 | #1910 | — | 7 | 1 | no | — |
| 170 | #1904 | — | 7 | 1 | no | — |
| 171 | #1904 | — | 7 | 1 | no | — |
| 172 | #1827 | — | 7 | 1 | no | — |
| 173 | C24×C7 | — | 2 | 1 | no | — |
| 174 | C7×#41 | — | 2 | 1 | no | — |
| 175 | C7×#41 | — | 2 | 1 | no | — |
| 176 | C7×#41 | — | 2 | 1 | no | — |
| 177 | C7×#41 | — | 2 | 1 | no | — |
| 178 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 179 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 180 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 181 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 182 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 183 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 184 | C2×C7×Q8 | #41 | 1 | 1 | yes | characteristic |
| 185 | C2×C7×D4 | — | 2 | 1 | no | — |
| 186 | C2×C7×D4 | — | 2 | 1 | no | — |
| 187 | C2×C7×D4 | — | 2 | 1 | no | — |
| 188 | C2×C7×D4 | — | 2 | 1 | no | — |
| 189 | C2×C7×D4 | — | 2 | 1 | no | — |
| 190 | C2×C7×D4 | — | 2 | 1 | no | — |
| 191 | C2×C7×D4 | C2×D4 | 1 | 2 | yes | — |
| 192 | C2×C7×D4 | #41 | 1 | 1 | yes | characteristic |
| 193 | C22×C4×C7 | — | 2 | 1 | no | — |
| 194 | C22×C4×C7 | — | 2 | 1 | no | — |
| 195 | C22×C4×C7 | C2×D4 | 1 | 2 | yes | — |
| 196 | C22×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 197 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 198 | C2×C22⋊D7 | — | 2 | 4 | no | — |
| 199 | C2×C22⋊D7 | — | 4 | 2 | no | — |
| 200 | C2×C22⋊D7 | C2×D4 | 1 | 2 | yes | — |
| 201 | C22×Dic7 | — | 2 | 4 | no | — |
| 202 | #1161 | — | 2 | 2 | no | — |
| 203 | #1161 | — | 4 | 1 | no | — |
| 204 | Q8×D7 | — | 2 | 2 | no | — |
| 205 | Q8×D7 | — | 4 | 1 | no | — |
| 206 | #1159 | — | 2 | 2 | no | — |
| 207 | #1159 | — | 4 | 1 | no | — |
| 208 | #1159 | — | 4 | 2 | no | — |
| 209 | #1159 | — | 4 | 2 | no | — |
| 210 | D4×D7 | — | 2 | 2 | no | — |
| 211 | D4×D7 | — | 4 | 1 | no | — |
| 212 | D4×D7 | — | 4 | 2 | no | — |
| 213 | D4×D7 | — | 4 | 2 | no | — |
| 214 | #1157 | — | 2 | 1 | no | — |
| 215 | #1157 | — | 2 | 1 | no | — |
| 216 | #1157 | — | 2 | 1 | no | — |
| 217 | #1157 | — | 2 | 1 | no | — |
| 218 | #1157 | — | 2 | 1 | no | — |
| 219 | #1157 | — | 2 | 1 | no | — |
| 220 | #1157 | — | 2 | 1 | no | — |
| 221 | #1157 | — | 2 | 1 | no | — |
| 222 | #1157 | — | 4 | 1 | no | — |
| 223 | #1157 | — | 4 | 1 | no | — |
| 224 | #1157 | — | 4 | 2 | no | — |
| 225 | #1157 | — | 4 | 2 | no | — |
| 226 | C2×D28 | — | 4 | 1 | no | — |
| 227 | C2×D28 | C2×D4 | 1 | 1 | yes | characteristic |
| 228 | C2×D28 | #41 | 1 | 1 | yes | characteristic |
| 229 | C2×C4×D7 | — | 2 | 1 | no | — |
| 230 | C2×C4×D7 | — | 2 | 2 | no | — |
| 231 | C2×C4×D7 | — | 4 | 2 | no | — |
| 232 | C2×C4×D7 | C2×D4 | 1 | 2 | yes | — |
| 233 | C2×Dic14 | — | 2 | 2 | no | — |
| 234 | C2×Dic14 | — | 4 | 1 | no | — |
| 235 | C2×Dic14 | C2×D4 | 1 | 1 | yes | characteristic |
| 236 | C2×Dic14 | #41 | 1 | 1 | yes | characteristic |
| 237 | C7×SD16 | — | 4 | 2 | no | — |
| 238 | C7×D8 | — | 4 | 2 | no | — |
| 239 | C7×M16 | — | 2 | 1 | no | — |
| 240 | C7×M16 | — | 2 | 1 | no | — |
| 241 | C7×M16 | — | 2 | 1 | no | — |
| 242 | C7×M16 | — | 2 | 1 | no | — |
| 243 | C2×C7×C8 | — | 2 | 1 | no | — |
| 244 | C2×C7×C8 | — | 2 | 1 | no | — |
| 245 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 246 | C7×C4⋊C4 | — | 4 | 2 | no | — |
| 247 | C7×C22⋊C4 | — | 2 | 4 | no | — |
| 248 | C7×C22⋊C4 | — | 2 | 4 | no | — |
| 249 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 250 | C7×C22⋊C4 | — | 4 | 2 | no | — |
| 251 | C42×C7 | — | 2 | 1 | no | — |
| 252 | C42×C7 | — | 2 | 1 | no | — |
| 253 | C42×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 254 | C42×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 255 | C22⋊Dic7 | — | 2 | 4 | no | — |
| 256 | C22⋊Dic7 | — | 2 | 1 | no | — |
| 257 | C22⋊Dic7 | — | 2 | 1 | no | — |
| 258 | C22⋊Dic7 | — | 2 | 4 | no | — |
| 259 | C22⋊Dic7 | — | 2 | 1 | no | — |
| 260 | C22⋊Dic7 | C2×D4 | 1 | 2 | yes | — |
| 261 | #1142 | — | 4 | 2 | no | — |
| 262 | #1141 | — | 4 | 2 | no | — |
| 263 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 264 | (C2×D7)⋊C4 | — | 2 | 4 | no | — |
| 265 | (C2×D7)⋊C4 | — | 4 | 2 | no | — |
| 266 | C4⋊Dic7 | — | 2 | 2 | no | — |
| 267 | C4⋊Dic7 | — | 2 | 4 | no | — |
| 268 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 269 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 270 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 271 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 272 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 273 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 274 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 275 | Dic7⋊C4 | — | 2 | 4 | no | — |
| 276 | Dic7⋊C4 | — | 4 | 2 | no | — |
| 277 | C4×Dic7 | — | 2 | 4 | no | — |
| 278 | C4×Dic7 | — | 2 | 1 | no | — |
| 279 | C4×Dic7 | — | 2 | 2 | no | — |
| 280 | C4×Dic7 | — | 2 | 1 | no | — |
| 281 | C4×Dic7 | C2×D4 | 1 | 2 | yes | — |
| 282 | C4×Dic7 | C2×D4 | 1 | 2 | yes | — |
| 283 | #1136 | — | 2 | 1 | no | — |
| 284 | #1136 | — | 2 | 1 | no | — |
| 285 | #1136 | — | 2 | 1 | no | — |
| 286 | #1136 | — | 2 | 1 | no | — |
| 287 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 288 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 289 | #1131 | — | 4 | 2 | no | — |
| 290 | C8×D7 | — | 4 | 2 | no | — |
| 291 | #585 | — | 7 | 1 | no | — |
| 292 | C2×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 293 | C2×AGL(1,ℤ/8) | C2×D7 | 1 | 1 | yes | characteristic |
| 294 | #568 | — | 7 | 1 | no | — |
| 295 | #559 | — | 14 | 2 | no | — |
| 296 | #556 | — | 14 | 2 | no | — |
| 297 | #551 | — | 14 | 4 | no | — |
| 298 | #542 | — | 14 | 2 | no | — |
| 299 | #536 | — | 7 | 1 | no | — |
| 300 | #536 | — | 7 | 1 | no | — |
| 301 | #536 | C2×D7 | 1 | 1 | yes | characteristic |
| 302 | #535 | — | 7 | 1 | no | — |
| 303 | #533 | — | 7 | 1 | no | — |
| 304 | #529 | — | 14 | 2 | no | — |
| 305 | C2×#124 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 306 | #519 | — | 7 | 1 | no | — |
| 307 | #518 | — | 7 | 1 | no | — |
| 308 | C4×#41 | — | 7 | 1 | no | — |
| 309 | #458 | — | 14 | 4 | no | — |
| 310 | #454 | — | 14 | 2 | no | — |
| 311 | #453 | — | 14 | 2 | no | — |
| 312 | #421 | — | 7 | 1 | no | — |
| 313 | #421 | — | 7 | 1 | no | — |
| 314 | #421 | — | 7 | 1 | no | — |
| 315 | #421 | — | 7 | 1 | no | — |
| 316 | #421 | — | 14 | 2 | no | — |
| 317 | C2×#104 | — | 7 | 1 | no | — |
| 318 | C2×#104 | — | 14 | 2 | no | — |
| 319 | C2×#104 | C2×D7 | 1 | 1 | yes | characteristic |
| 320 | #418 | — | 7 | 1 | no | — |
| 321 | #418 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 322 | #413 | — | 7 | 1 | no | — |
| 323 | C2×#101 | — | 7 | 1 | no | — |
| 324 | C2×#101 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 325 | #410 | — | 7 | 1 | no | — |
| 326 | #410 | — | 7 | 1 | no | — |
| 327 | #410 | — | 7 | 1 | no | — |
| 328 | #344 | — | 7 | 1 | no | — |
| 329 | #344 | — | 7 | 1 | no | — |
| 330 | #339 | — | 7 | 1 | no | — |
| 331 | #339 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 332 | H(3,ℤ/4) | — | 7 | 1 | no | — |
| 333 | H(3,ℤ/4) | — | 7 | 1 | no | — |
| 334 | H(3,ℤ/4) | — | 7 | 1 | no | — |
| 335 | H(3,ℤ/4) | — | 7 | 1 | no | — |
| 336 | C23×C7 | — | 2 | 2 | no | — |
| 337 | C23×C7 | — | 2 | 1 | no | — |
| 338 | C23×C7 | — | 4 | 1 | no | — |
| 339 | C23×C7 | — | 4 | 1 | no | — |
| 340 | C23×C7 | — | 8 | 2 | no | — |
| 341 | C23×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 342 | C22×D7 | — | 2 | 1 | no | — |
| 343 | C22×D7 | — | 4 | 2 | no | — |
| 344 | C22×D7 | #120 | 1 | 2 | yes | — |
| 345 | C7×Q8 | — | 2 | 1 | no | — |
| 346 | C7×Q8 | — | 2 | 1 | no | — |
| 347 | C7×Q8 | — | 4 | 1 | no | — |
| 348 | C7×Q8 | — | 4 | 1 | no | — |
| 349 | C7×Q8 | — | 4 | 1 | no | — |
| 350 | C7×Q8 | — | 4 | 1 | no | — |
| 351 | C7×D4 | — | 2 | 1 | no | — |
| 352 | C7×D4 | — | 2 | 2 | no | — |
| 353 | C7×D4 | — | 2 | 1 | no | — |
| 354 | C7×D4 | — | 2 | 2 | no | — |
| 355 | C7×D4 | — | 4 | 1 | no | — |
| 356 | C7×D4 | — | 4 | 1 | no | — |
| 357 | C7×D4 | — | 4 | 1 | no | — |
| 358 | C7×D4 | — | 4 | 1 | no | — |
| 359 | C2×C4×C7 | — | 2 | 1 | no | — |
| 360 | C2×C4×C7 | — | 2 | 2 | no | — |
| 361 | C2×C4×C7 | — | 2 | 1 | no | — |
| 362 | C2×C4×C7 | — | 2 | 2 | no | — |
| 363 | C2×C4×C7 | — | 2 | 2 | no | — |
| 364 | C2×C4×C7 | — | 2 | 1 | no | — |
| 365 | C2×C4×C7 | — | 4 | 1 | no | — |
| 366 | C2×C4×C7 | — | 4 | 1 | no | — |
| 367 | C2×C4×C7 | — | 4 | 1 | no | — |
| 368 | C2×C4×C7 | — | 8 | 1 | no | — |
| 369 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 370 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 371 | C2×C4×C7 | C2×#41 | 1 | 1 | yes | characteristic |
| 372 | C2×C4×C7 | C2×#41 | 1 | 1 | yes | characteristic |
| 373 | C2×C4×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 374 | C2×C4×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 375 | C22⋊D7 | — | 2 | 2 | no | — |
| 376 | C22⋊D7 | — | 2 | 2 | no | — |
| 377 | C22⋊D7 | — | 4 | 2 | no | — |
| 378 | C22⋊D7 | — | 4 | 2 | no | — |
| 379 | C22⋊D7 | — | 4 | 1 | no | — |
| 380 | C22⋊D7 | — | 4 | 1 | no | — |
| 381 | C22⋊D7 | — | 8 | 4 | no | — |
| 382 | C2×Dic7 | — | 2 | 2 | no | — |
| 383 | C2×Dic7 | — | 2 | 2 | no | — |
| 384 | C2×Dic7 | — | 2 | 2 | no | — |
| 385 | C2×Dic7 | — | 2 | 1 | no | — |
| 386 | C2×Dic7 | — | 4 | 2 | no | — |
| 387 | C2×Dic7 | — | 4 | 1 | no | — |
| 388 | C2×Dic7 | — | 8 | 4 | no | — |
| 389 | C2×Dic7 | #120 | 1 | 2 | yes | — |
| 390 | D28 | — | 2 | 1 | no | — |
| 391 | D28 | — | 2 | 1 | no | — |
| 392 | D28 | — | 2 | 1 | no | — |
| 393 | D28 | — | 2 | 1 | no | — |
| 394 | D28 | — | 4 | 2 | no | — |
| 395 | C4×D7 | — | 2 | 2 | no | — |
| 396 | C4×D7 | — | 2 | 2 | no | — |
| 397 | C4×D7 | — | 4 | 2 | no | — |
| 398 | C4×D7 | — | 4 | 2 | no | — |
| 399 | C4×D7 | — | 4 | 1 | no | — |
| 400 | C4×D7 | — | 4 | 1 | no | — |
| 401 | C4×D7 | — | 8 | 2 | no | — |
| 402 | Dic14 | — | 2 | 1 | no | — |
| 403 | Dic14 | — | 2 | 1 | no | — |
| 404 | Dic14 | — | 2 | 1 | no | — |
| 405 | Dic14 | — | 2 | 1 | no | — |
| 406 | Dic14 | — | 4 | 2 | no | — |
| 407 | Dic14 | — | 8 | 2 | no | — |
| 408 | C7×C8 | — | 4 | 1 | no | — |
| 409 | C7×C8 | — | 4 | 1 | no | — |
| 410 | C7⋊C8 | — | 4 | 1 | no | — |
| 411 | C7⋊C8 | — | 4 | 1 | no | — |
| 412 | 2−1+4 | — | 14 | 1 | no | — |
| 413 | 2−1+4 | — | 14 | 1 | no | — |
| 414 | 2−1+4 | — | 14 | 1 | no | — |
| 415 | H(5,𝔽2) | — | 14 | 2 | no | — |
| 416 | H(5,𝔽2) | — | 14 | 1 | no | — |
| 417 | H(5,𝔽2) | — | 14 | 1 | no | — |
| 418 | H(5,𝔽2) | — | 14 | 1 | no | — |
| 419 | C2×#41 | — | 7 | 1 | no | — |
| 420 | C2×#41 | — | 7 | 1 | no | — |
| 421 | C2×#41 | — | 14 | 2 | no | — |
| 422 | C2×#41 | — | 28 | 1 | no | — |
| 423 | C2×#41 | — | 28 | 1 | no | — |
| 424 | C2×#41 | C22×D7 | 1 | 1 | yes | characteristic |
| 425 | C22×Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 426 | C22×D4 | C22×D7 | 1 | 1 | yes | characteristic |
| 427 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 428 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 429 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 430 | AGL(1,ℤ/8) | — | 28 | 1 | no | — |
| 431 | C2×SD16 | — | 2 | 1 | no | — |
| 432 | C2×SD16 | — | 14 | 1 | no | — |
| 433 | C2×D8 | — | 2 | 1 | no | — |
| 434 | C2×D8 | — | 14 | 1 | no | — |
| 435 | #131 | — | 28 | 1 | no | — |
| 436 | #131 | — | 28 | 1 | no | — |
| 437 | C2×M16 | — | 7 | 1 | no | — |
| 438 | C2×M16 | — | 7 | 1 | no | — |
| 439 | C2×M16 | — | 14 | 2 | no | — |
| 440 | C2×M16 | C22×D7 | 1 | 1 | yes | characteristic |
| 441 | C2×M16 | C22×D7 | 1 | 1 | yes | characteristic |
| 442 | C4⋊Q8 | — | 2 | 1 | no | — |
| 443 | C4⋊Q8 | — | 14 | 1 | no | — |
| 444 | C4⋊Q8 | — | 14 | 1 | no | — |
| 445 | C4⋊Q8 | — | 14 | 1 | no | — |
| 446 | #127 | — | 7 | 2 | no | — |
| 447 | #126 | — | 14 | 4 | no | — |
| 448 | #126 | — | 14 | 4 | no | — |
| 449 | #125 | — | 14 | 1 | no | — |
| 450 | #124 | — | 2 | 2 | no | — |
| 451 | #124 | — | 2 | 1 | no | — |
| 452 | #124 | — | 2 | 1 | no | — |
| 453 | #124 | — | 2 | 1 | no | — |
| 454 | #124 | — | 7 | 2 | no | — |
| 455 | #124 | — | 14 | 4 | no | — |
| 456 | #124 | — | 14 | 1 | no | — |
| 457 | #124 | — | 14 | 1 | no | — |
| 458 | #123 | — | 2 | 2 | no | — |
| 459 | #123 | — | 7 | 4 | no | — |
| 460 | #123 | — | 14 | 4 | no | — |
| 461 | #123 | — | 14 | 4 | no | — |
| 462 | #123 | — | 14 | 2 | no | — |
| 463 | C22⋊Q8 | — | 4 | 1 | no | — |
| 464 | C22⋊Q8 | — | 14 | 4 | no | — |
| 465 | C22⋊Q8 | — | 14 | 2 | no | — |
| 466 | C22⋊Q8 | — | 14 | 2 | no | — |
| 467 | C22⋊Q8 | — | 28 | 1 | no | — |
| 468 | #121 | — | 14 | 2 | no | — |
| 469 | #120 | — | 14 | 2 | no | — |
| 470 | C4×Q8 | — | 14 | 2 | no | — |
| 471 | C4×Q8 | — | 14 | 1 | no | — |
| 472 | C4×Q8 | — | 14 | 2 | no | — |
| 473 | C4×Q8 | — | 14 | 2 | no | — |
| 474 | C4×D4 | — | 14 | 1 | no | — |
| 475 | C4×D4 | — | 14 | 2 | no | — |
| 476 | C4×D4 | — | 14 | 4 | no | — |
| 477 | C4×D4 | — | 14 | 2 | no | — |
| 478 | C4×D4 | — | 14 | 2 | no | — |
| 479 | #117 | — | 7 | 1 | no | — |
| 480 | #117 | — | 7 | 1 | no | — |
| 481 | #117 | — | 7 | 2 | no | — |
| 482 | #117 | — | 7 | 1 | no | — |
| 483 | #117 | — | 7 | 1 | no | — |
| 484 | #117 | — | 14 | 4 | no | — |
| 485 | #117 | — | 14 | 2 | no | — |
| 486 | #117 | C22×D7 | 1 | 1 | yes | characteristic |
| 487 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 488 | C2×C22⋊C4 | — | 14 | 2 | no | — |
| 489 | C2×C42 | — | 7 | 2 | no | — |
| 490 | C2×C42 | C22×D7 | 1 | 1 | yes | characteristic |
| 491 | #104 | — | 2 | 1 | no | — |
| 492 | #104 | — | 2 | 1 | no | — |
| 493 | #104 | — | 14 | 2 | no | — |
| 494 | #104 | — | 14 | 2 | no | — |
| 495 | #104 | — | 14 | 2 | no | — |
| 496 | #104 | — | 14 | 2 | no | — |
| 497 | #104 | — | 14 | 1 | no | — |
| 498 | #104 | — | 14 | 1 | no | — |
| 499 | #102 | — | 4 | 1 | no | — |
| 500 | #102 | — | 28 | 1 | no | — |
| 501 | #101 | — | 4 | 1 | no | — |
| 502 | #101 | — | 14 | 1 | no | — |
| 503 | #101 | — | 28 | 1 | no | — |
| 504 | #100 | — | 14 | 1 | no | — |
| 505 | #99 | — | 14 | 2 | no | — |
| 506 | #99 | — | 14 | 2 | no | — |
| 507 | #99 | — | 14 | 2 | no | — |
| 508 | C22×C7 | — | 4 | 1 | no | — |
| 509 | C22×C7 | — | 4 | 4 | no | — |
| 510 | C22×C7 | — | 4 | 1 | no | — |
| 511 | C22×C7 | — | 4 | 2 | no | — |
| 512 | C22×C7 | — | 8 | 1 | no | — |
| 513 | C22×C7 | — | 16 | 1 | no | — |
| 514 | C22×C7 | — | 16 | 1 | no | — |
| 515 | C22×C7 | C2×#120 | 1 | 1 | yes | characteristic |
| 516 | C22×C7 | #546 | 1 | 1 | yes | characteristic |
| 517 | C22×C7 | #546 | 1 | 1 | yes | characteristic |
| 518 | C2×D7 | — | 2 | 2 | no | — |
| 519 | C2×D7 | — | 4 | 2 | no | — |
| 520 | C2×D7 | — | 4 | 1 | no | — |
| 521 | C2×D7 | — | 8 | 1 | no | — |
| 522 | C2×D7 | — | 16 | 2 | no | — |
| 523 | C4×C7 | — | 4 | 1 | no | — |
| 524 | C4×C7 | — | 4 | 1 | no | — |
| 525 | C4×C7 | — | 4 | 1 | no | — |
| 526 | C4×C7 | — | 4 | 2 | no | — |
| 527 | C4×C7 | — | 8 | 1 | no | — |
| 528 | C4×C7 | #525 | 1 | 1 | yes | characteristic |
| 529 | C4×C7 | #535 | 1 | 1 | yes | characteristic |
| 530 | C4×C7 | #546 | 1 | 1 | yes | characteristic |
| 531 | C4×C7 | #546 | 1 | 1 | yes | characteristic |
| 532 | Dic7 | — | 2 | 2 | no | — |
| 533 | Dic7 | — | 4 | 2 | no | — |
| 534 | Dic7 | — | 4 | 2 | no | — |
| 535 | Dic7 | — | 4 | 2 | no | — |
| 536 | Dic7 | — | 4 | 1 | no | — |
| 537 | Dic7 | — | 8 | 1 | no | — |
| 538 | C24 | — | 2 | 1 | no | — |
| 539 | #41 | — | 2 | 1 | no | — |
| 540 | #41 | — | 2 | 1 | no | — |
| 541 | #41 | — | 2 | 1 | no | — |
| 542 | #41 | — | 2 | 1 | no | — |
| 543 | #41 | — | 14 | 1 | no | — |
| 544 | #41 | — | 14 | 1 | no | — |
| 545 | #41 | — | 14 | 1 | no | — |
| 546 | #41 | — | 14 | 1 | no | — |
| 547 | #41 | — | 14 | 2 | no | — |
| 548 | #41 | — | 14 | 2 | no | — |
| 549 | #41 | — | 14 | 1 | no | — |
| 550 | #41 | — | 14 | 1 | no | — |
| 551 | #41 | — | 14 | 1 | no | — |
| 552 | #41 | — | 14 | 1 | no | — |
| 553 | #41 | — | 28 | 2 | no | — |
| 554 | #41 | — | 28 | 2 | no | — |
| 555 | #41 | — | 28 | 1 | no | — |
| 556 | #41 | — | 28 | 1 | no | — |
| 557 | #41 | — | 28 | 2 | no | — |
| 558 | #41 | — | 28 | 2 | no | — |
| 559 | #41 | — | 28 | 1 | no | — |
| 560 | #41 | — | 28 | 1 | no | — |
| 561 | C2×Q8 | — | 2 | 1 | no | — |
| 562 | C2×Q8 | — | 2 | 1 | no | — |
| 563 | C2×Q8 | — | 2 | 1 | no | — |
| 564 | C2×Q8 | — | 2 | 1 | no | — |
| 565 | C2×Q8 | — | 2 | 1 | no | — |
| 566 | C2×Q8 | — | 2 | 1 | no | — |
| 567 | C2×Q8 | — | 7 | 1 | no | — |
| 568 | C2×Q8 | — | 7 | 1 | no | — |
| 569 | C2×Q8 | — | 14 | 2 | no | — |
| 570 | C2×Q8 | — | 14 | 2 | no | — |
| 571 | C2×Q8 | — | 28 | 1 | no | — |
| 572 | C2×Q8 | — | 28 | 1 | no | — |
| 573 | C2×Q8 | #1159 | 1 | 1 | yes | characteristic |
| 574 | C2×D4 | — | 2 | 1 | no | — |
| 575 | C2×D4 | — | 2 | 1 | no | — |
| 576 | C2×D4 | — | 2 | 1 | no | — |
| 577 | C2×D4 | — | 2 | 1 | no | — |
| 578 | C2×D4 | — | 2 | 1 | no | — |
| 579 | C2×D4 | — | 2 | 1 | no | — |
| 580 | C2×D4 | — | 7 | 2 | no | — |
| 581 | C2×D4 | — | 7 | 1 | no | — |
| 582 | C2×D4 | — | 7 | 1 | no | — |
| 583 | C2×D4 | — | 14 | 2 | no | — |
| 584 | C2×D4 | — | 14 | 1 | no | — |
| 585 | C2×D4 | — | 14 | 4 | no | — |
| 586 | C2×D4 | — | 28 | 1 | no | — |
| 587 | C2×D4 | — | 28 | 1 | no | — |
| 588 | C2×D4 | — | 28 | 2 | no | — |
| 589 | C2×D4 | — | 28 | 2 | no | — |
| 590 | C2×D4 | — | 28 | 2 | no | — |
| 591 | C2×D4 | D4×D7 | 1 | 2 | yes | — |
| 592 | C2×D4 | #1159 | 1 | 1 | yes | characteristic |
| 593 | C22×C4 | — | 2 | 1 | no | — |
| 594 | C22×C4 | — | 2 | 1 | no | — |
| 595 | C22×C4 | — | 7 | 2 | no | — |
| 596 | C22×C4 | — | 14 | 2 | no | — |
| 597 | C22×C4 | — | 14 | 4 | no | — |
| 598 | C22×C4 | — | 14 | 1 | no | — |
| 599 | C22×C4 | — | 28 | 2 | no | — |
| 600 | C22×C4 | D4×D7 | 1 | 2 | yes | — |
| 601 | C22×C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 602 | SD16 | — | 4 | 2 | no | — |
| 603 | SD16 | — | 28 | 2 | no | — |
| 604 | D8 | — | 4 | 2 | no | — |
| 605 | D8 | — | 28 | 2 | no | — |
| 606 | M16 | — | 2 | 1 | no | — |
| 607 | M16 | — | 2 | 1 | no | — |
| 608 | M16 | — | 2 | 1 | no | — |
| 609 | M16 | — | 2 | 1 | no | — |
| 610 | M16 | — | 14 | 1 | no | — |
| 611 | M16 | — | 14 | 1 | no | — |
| 612 | M16 | — | 14 | 1 | no | — |
| 613 | M16 | — | 14 | 1 | no | — |
| 614 | M16 | — | 28 | 2 | no | — |
| 615 | C2×C8 | — | 2 | 1 | no | — |
| 616 | C2×C8 | — | 2 | 1 | no | — |
| 617 | C2×C8 | — | 14 | 1 | no | — |
| 618 | C2×C8 | — | 14 | 1 | no | — |
| 619 | C2×C8 | — | 28 | 2 | no | — |
| 620 | C4⋊C4 | — | 2 | 1 | no | — |
| 621 | C4⋊C4 | — | 4 | 2 | no | — |
| 622 | C4⋊C4 | — | 14 | 2 | no | — |
| 623 | C4⋊C4 | — | 14 | 4 | no | — |
| 624 | C4⋊C4 | — | 14 | 2 | no | — |
| 625 | C4⋊C4 | — | 14 | 2 | no | — |
| 626 | C4⋊C4 | — | 14 | 4 | no | — |
| 627 | C4⋊C4 | — | 14 | 2 | no | — |
| 628 | C4⋊C4 | — | 14 | 1 | no | — |
| 629 | C4⋊C4 | — | 14 | 1 | no | — |
| 630 | C4⋊C4 | — | 14 | 1 | no | — |
| 631 | C4⋊C4 | — | 14 | 1 | no | — |
| 632 | C4⋊C4 | — | 28 | 2 | no | — |
| 633 | C22⋊C4 | — | 2 | 4 | no | — |
| 634 | C22⋊C4 | — | 2 | 4 | no | — |
| 635 | C22⋊C4 | — | 2 | 1 | no | — |
| 636 | C22⋊C4 | — | 4 | 2 | no | — |
| 637 | C22⋊C4 | — | 7 | 2 | no | — |
| 638 | C22⋊C4 | — | 14 | 2 | no | — |
| 639 | C22⋊C4 | — | 14 | 4 | no | — |
| 640 | C22⋊C4 | — | 14 | 4 | no | — |
| 641 | C22⋊C4 | — | 14 | 4 | no | — |
| 642 | C22⋊C4 | — | 14 | 1 | no | — |
| 643 | C22⋊C4 | — | 14 | 1 | no | — |
| 644 | C22⋊C4 | — | 14 | 1 | no | — |
| 645 | C22⋊C4 | — | 28 | 2 | no | — |
| 646 | C42 | — | 2 | 1 | no | — |
| 647 | C42 | — | 2 | 1 | no | — |
| 648 | C42 | — | 7 | 2 | no | — |
| 649 | C42 | — | 7 | 2 | no | — |
| 650 | C42 | — | 14 | 2 | no | — |
| 651 | C42 | — | 14 | 4 | no | — |
| 652 | C42 | — | 14 | 1 | no | — |
| 653 | C42 | — | 14 | 1 | no | — |
| 654 | C42 | D4×D7 | 1 | 1 | yes | characteristic |
| 655 | C42 | D4×D7 | 1 | 1 | yes | characteristic |
| 656 | C2×C7 | — | 2 | 1 | no | — |
| 657 | C2×C7 | — | 2 | 1 | no | — |
| 658 | C2×C7 | — | 2 | 1 | no | — |
| 659 | C2×C7 | — | 8 | 1 | no | — |
| 660 | C2×C7 | — | 8 | 2 | no | — |
| 661 | C2×C7 | #2404 | 1 | 1 | yes | characteristic |
| 662 | D7 | — | 4 | 2 | no | — |
| 663 | D7 | — | 8 | 1 | no | — |
| 664 | C23 | — | 2 | 2 | no | — |
| 665 | C23 | — | 2 | 1 | no | — |
| 666 | C23 | — | 4 | 1 | no | — |
| 667 | C23 | — | 4 | 1 | no | — |
| 668 | C23 | — | 7 | 2 | no | — |
| 669 | C23 | — | 8 | 2 | no | — |
| 670 | C23 | — | 14 | 1 | no | — |
| 671 | C23 | — | 28 | 2 | no | — |
| 672 | C23 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 673 | Q8 | — | 2 | 1 | no | — |
| 674 | Q8 | — | 2 | 1 | no | — |
| 675 | Q8 | — | 4 | 1 | no | — |
| 676 | Q8 | — | 4 | 1 | no | — |
| 677 | Q8 | — | 4 | 1 | no | — |
| 678 | Q8 | — | 4 | 1 | no | — |
| 679 | Q8 | — | 14 | 1 | no | — |
| 680 | Q8 | — | 14 | 1 | no | — |
| 681 | Q8 | — | 14 | 1 | no | — |
| 682 | Q8 | — | 14 | 1 | no | — |
| 683 | Q8 | — | 28 | 2 | no | — |
| 684 | Q8 | — | 56 | 2 | no | — |
| 685 | D4 | — | 2 | 1 | no | — |
| 686 | D4 | — | 2 | 2 | no | — |
| 687 | D4 | — | 2 | 1 | no | — |
| 688 | D4 | — | 2 | 2 | no | — |
| 689 | D4 | — | 4 | 1 | no | — |
| 690 | D4 | — | 4 | 1 | no | — |
| 691 | D4 | — | 4 | 1 | no | — |
| 692 | D4 | — | 4 | 1 | no | — |
| 693 | D4 | — | 14 | 2 | no | — |
| 694 | D4 | — | 14 | 2 | no | — |
| 695 | D4 | — | 14 | 1 | no | — |
| 696 | D4 | — | 14 | 1 | no | — |
| 697 | D4 | — | 14 | 1 | no | — |
| 698 | D4 | — | 14 | 1 | no | — |
| 699 | D4 | — | 28 | 2 | no | — |
| 700 | D4 | — | 28 | 2 | no | — |
| 701 | D4 | — | 28 | 2 | no | — |
| 702 | D4 | — | 28 | 1 | no | — |
| 703 | D4 | — | 28 | 1 | no | — |
| 704 | D4 | — | 56 | 4 | no | — |
| 705 | C2×C4 | — | 2 | 1 | no | — |
| 706 | C2×C4 | — | 2 | 1 | no | — |
| 707 | C2×C4 | — | 2 | 2 | no | — |
| 708 | C2×C4 | — | 2 | 2 | no | — |
| 709 | C2×C4 | — | 2 | 1 | no | — |
| 710 | C2×C4 | — | 2 | 2 | no | — |
| 711 | C2×C4 | — | 4 | 1 | no | — |
| 712 | C2×C4 | — | 4 | 1 | no | — |
| 713 | C2×C4 | — | 4 | 1 | no | — |
| 714 | C2×C4 | — | 7 | 2 | no | — |
| 715 | C2×C4 | — | 8 | 1 | no | — |
| 716 | C2×C4 | — | 14 | 2 | no | — |
| 717 | C2×C4 | — | 14 | 2 | no | — |
| 718 | C2×C4 | — | 14 | 2 | no | — |
| 719 | C2×C4 | — | 14 | 2 | no | — |
| 720 | C2×C4 | — | 14 | 2 | no | — |
| 721 | C2×C4 | — | 14 | 1 | no | — |
| 722 | C2×C4 | — | 28 | 2 | no | — |
| 723 | C2×C4 | — | 28 | 2 | no | — |
| 724 | C2×C4 | — | 28 | 2 | no | — |
| 725 | C2×C4 | — | 28 | 1 | no | — |
| 726 | C2×C4 | — | 28 | 1 | no | — |
| 727 | C2×C4 | — | 28 | 1 | no | — |
| 728 | C2×C4 | — | 56 | 2 | no | — |
| 729 | C2×C4 | — | 56 | 4 | no | — |
| 730 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 731 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 732 | C2×C4 | C2×#1159 | 1 | 1 | yes | characteristic |
| 733 | C2×C4 | #6548 | 1 | 1 | yes | characteristic |
| 734 | C2×C4 | #6548 | 1 | 1 | yes | characteristic |
| 735 | C2×C4 | D7×#41 | 1 | 1 | yes | characteristic |
| 736 | C8 | — | 4 | 1 | no | — |
| 737 | C8 | — | 4 | 1 | no | — |
| 738 | C8 | — | 28 | 1 | no | — |
| 739 | C8 | — | 28 | 1 | no | — |
| 740 | C7 | #23993 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 741 | C22 | — | 4 | 1 | no | — |
| 742 | C22 | — | 4 | 4 | no | — |
| 743 | C22 | — | 4 | 1 | no | — |
| 744 | C22 | — | 4 | 2 | no | — |
| 745 | C22 | — | 8 | 1 | no | — |
| 746 | C22 | — | 14 | 2 | no | — |
| 747 | C22 | — | 16 | 1 | no | — |
| 748 | C22 | — | 16 | 1 | no | — |
| 749 | C22 | — | 28 | 2 | no | — |
| 750 | C22 | — | 28 | 1 | no | — |
| 751 | C22 | — | 56 | 1 | no | — |
| 752 | C22 | — | 112 | 2 | no | — |
| 753 | C22 | D7×#120 | 1 | 1 | yes | characteristic |
| 754 | C22 | #90282 | 1 | 1 | yes | characteristic |
| 755 | C22 | #90301 | 1 | 1 | yes | characteristic |
| 756 | C4 | — | 4 | 1 | no | — |
| 757 | C4 | — | 4 | 1 | no | — |
| 758 | C4 | — | 4 | 2 | no | — |
| 759 | C4 | — | 4 | 1 | no | — |
| 760 | C4 | — | 8 | 1 | no | — |
| 761 | C4 | — | 14 | 2 | no | — |
| 762 | C4 | — | 28 | 2 | no | — |
| 763 | C4 | — | 28 | 2 | no | — |
| 764 | C4 | — | 28 | 2 | no | — |
| 765 | C4 | — | 28 | 1 | no | — |
| 766 | C4 | — | 56 | 1 | no | — |
| 767 | C4 | #90282 | 1 | 1 | yes | characteristic |
| 768 | C4 | #90297 | 1 | 1 | yes | characteristic |
| 769 | C4 | #90301 | 1 | 1 | yes | characteristic |
| 770 | C4 | #90406 | 1 | 1 | yes | characteristic |
| 771 | C2 | — | 2 | 1 | no | — |
| 772 | C2 | — | 2 | 1 | no | — |
| 773 | C2 | — | 2 | 1 | no | — |
| 774 | C2 | — | 8 | 2 | no | — |
| 775 | C2 | — | 8 | 1 | no | — |
| 776 | C2 | — | 28 | 2 | no | — |
| 777 | C2 | — | 56 | 1 | no | — |
| 778 | C2 | #11734199 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11743133 | C2 | semidirect |
| 3. #11740862 | C2 | semidirect |
| 4. #11736428 | C2 | semidirect |
| 5. C7×#2003 | C2 | semidirect |
| 6. #11729843 | C2 | semidirect |
| 7. #11729618 | C2 | semidirect |
| 8. #11729484 | C2 | semidirect |
| 9. #11728122 | C2 | semidirect |
| 10. #11728084 | C2 | semidirect |
| 11. #11728068 | C2 | semidirect |
| 12. #11727878 | C2 | semidirect |
| 13. #11727859 | C2 | semidirect |
| 14. #11726533 | C2 | semidirect |
| 15. #11726491 | C2 | semidirect |
| 19. C2×C7×#124 | C22 | semidirect |
| 22. #90503 | C22 | semidirect |
| 24. #90489 | C22 | semidirect |
| 33. #90161 | C22 | semidirect |
| 35. C7×#418 | C22 | semidirect |
| 36. C2×C7×#101 | C22 | semidirect |
| 40. C2×#6410 | C22 | semidirect |
| 41. #89987 | C22 | semidirect |
| 53. C7×#339 | C22 | semidirect |
| 54. #89354 | C22 | semidirect |
| 55. #89352 | C22 | semidirect |
| 56. #89352 | C22 | semidirect |
| 57. #89351 | C22 | semidirect |
| 58. #89326 | C22 | semidirect |
| 59. #89326 | C22 | semidirect |
| 60. #89318 | C22 | semidirect |
| 165. #2003 | D7 | semidirect |
| 305. C2×#124 | C2×D7 | semidirect |
| 321. #418 | C2×D7 | semidirect |
| 324. C2×#101 | C2×D7 | semidirect |
| 331. #339 | C2×D7 | semidirect |
| 740. C7 | #23993 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11743133 | 2 |
| #11741402 | 2 |
| #11740862 | 2 |
| #11736428 | 2 |
| C7×#2003 | 2 |
| #11729843 | 2 |
| #11729618 | 2 |
| #11729484 | 2 |
| #11728122 | 2 |
| #11728084 | 2 |
| #11728068 | 2 |
| #11727878 | 2 |
| #11727859 | 2 |
| #11726533 | 2 |
| #11726491 | 2 |
| #23993 | 7 |