Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
1942 conjugacy classes of subgroups.
The subgroup lattice has 736 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11742961 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C7×#2952 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11741361 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11741348 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11740003 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #11737322 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11737304 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11737283 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #11737268 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #11737111 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #11737107 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #11736565 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | C2×#89627 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11736335 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | #11736323 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | #11736019 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #11735994 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | C2×C7×#135 | C22 | 1 | 1 | yes | characteristic |
| 19 | C7×#520 | C22 | 1 | 2 | yes | — |
| 20 | #90524 | C22 | 1 | 2 | yes | — |
| 21 | #90523 | C22 | 1 | 2 | yes | — |
| 22 | C2×#6513 | C22 | 1 | 2 | yes | — |
| 23 | C2×#6470 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#6467 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#6464 | C22 | 1 | 1 | yes | characteristic |
| 26 | #90273 | C22 | 1 | 4 | yes | — |
| 27 | #90269 | C22 | 1 | 4 | yes | — |
| 28 | #90252 | C22 | 1 | 4 | yes | — |
| 29 | #90243 | — | 2 | 4 | no | — |
| 30 | #90239 | C22 | 1 | 4 | yes | — |
| 31 | #90231 | — | 2 | 4 | no | — |
| 32 | #90224 | — | 2 | 2 | no | — |
| 33 | #90223 | — | 2 | 2 | no | — |
| 34 | #90214 | C22 | 1 | 2 | yes | — |
| 35 | #90213 | C22 | 1 | 1 | yes | characteristic |
| 36 | #90202 | — | 2 | 2 | no | — |
| 37 | #90201 | C22 | 1 | 2 | yes | — |
| 38 | #90198 | — | 2 | 2 | no | — |
| 39 | C2×#6451 | C22 | 1 | 2 | yes | — |
| 40 | C7×#442 | C22 | 1 | 2 | yes | — |
| 41 | C7×#441 | C22 | 1 | 2 | yes | — |
| 42 | C4×C7×SD16 | C22 | 1 | 4 | yes | — |
| 43 | C2×C7×#106 | C22 | 1 | 1 | yes | characteristic |
| 44 | C7×#417 | C22 | 1 | 2 | yes | — |
| 45 | C7×#405 | C22 | 1 | 1 | yes | characteristic |
| 46 | #90004 | C22 | 1 | 2 | yes | — |
| 47 | #89963 | C22 | 1 | 1 | yes | characteristic |
| 48 | #89961 | C22 | 1 | 2 | yes | — |
| 49 | #89953 | C22 | 1 | 1 | yes | characteristic |
| 50 | #89947 | C22 | 1 | 2 | yes | — |
| 51 | #89943 | C22 | 1 | 4 | yes | — |
| 52 | #89940 | C22 | 1 | 2 | yes | — |
| 53 | #89931 | C22 | 1 | 2 | yes | — |
| 54 | #89927 | C22 | 1 | 1 | yes | characteristic |
| 55 | #89923 | C22 | 1 | 1 | yes | characteristic |
| 56 | #89905 | C22 | 1 | 2 | yes | — |
| 57 | M16×Dic7 | C22 | 1 | 1 | yes | characteristic |
| 58 | C2×#6391 | C22 | 1 | 1 | yes | characteristic |
| 59 | C2×C8×Dic7 | C22 | 1 | 1 | yes | characteristic |
| 60 | #89802 | C22 | 1 | 4 | yes | — |
| 61 | C4×#1143 | C22 | 1 | 4 | yes | — |
| 62 | C4×#1142 | C22 | 1 | 4 | yes | — |
| 63 | #89786 | C22 | 1 | 4 | yes | — |
| 64 | #89769 | C22 | 1 | 1 | yes | characteristic |
| 65 | #89738 | C22 | 1 | 2 | yes | — |
| 66 | C2×#6382 | C22 | 1 | 2 | yes | — |
| 67 | #89640 | C22 | 1 | 2 | yes | — |
| 68 | #89637 | C22 | 1 | 2 | yes | — |
| 69 | #89636 | C22 | 1 | 4 | yes | — |
| 70 | #89627 | C22 | 1 | 2 | yes | — |
| 71 | #89627 | C22 | 1 | 2 | yes | — |
| 72 | #89627 | C22 | 1 | 2 | yes | — |
| 73 | #89627 | C22 | 1 | 2 | yes | — |
| 74 | #89588 | C22 | 1 | 4 | yes | — |
| 75 | #89579 | C22 | 1 | 4 | yes | — |
| 76 | #89567 | C22 | 1 | 4 | yes | — |
| 77 | #89564 | C22 | 1 | 4 | yes | — |
| 78 | #89554 | C22 | 1 | 4 | yes | — |
| 79 | #89550 | C22 | 1 | 4 | yes | — |
| 80 | #89537 | C22 | 1 | 4 | yes | — |
| 81 | #89532 | C22 | 1 | 4 | yes | — |
| 82 | #89488 | C22 | 1 | 2 | yes | — |
| 83 | #89483 | C22 | 1 | 2 | yes | — |
| 84 | #89480 | C22 | 1 | 2 | yes | — |
| 85 | #89479 | C22 | 1 | 2 | yes | — |
| 86 | C4×#1132 | C22 | 1 | 4 | yes | — |
| 87 | #89461 | C22 | 1 | 2 | yes | — |
| 88 | C4×C8×D7 | C22 | 1 | 2 | yes | — |
| 89 | #60716 | — | 7 | 1 | no | maximal, Sylow |
| 90 | C2×C7×#41 | C23 | 1 | 2 | yes | — |
| 91 | C2×#1157 | — | 2 | 4 | no | — |
| 92 | C2×#1157 | C23 | 1 | 1 | yes | characteristic |
| 93 | C2×#1157 | C23 | 1 | 2 | yes | — |
| 94 | C22×Dic14 | — | 2 | 2 | no | — |
| 95 | C7×#135 | — | 2 | 4 | no | — |
| 96 | C2×C7×Q16 | C23 | 1 | 1 | yes | characteristic |
| 97 | C2×C7×SD16 | C23 | 1 | 2 | yes | — |
| 98 | C2×C7×D8 | C23 | 1 | 1 | yes | characteristic |
| 99 | C2×C7×M16 | C23 | 1 | 1 | yes | characteristic |
| 100 | C22×C7×C8 | C23 | 1 | 1 | yes | characteristic |
| 101 | C4×C7×Q8 | C23 | 1 | 4 | yes | — |
| 102 | C4×C7×D4 | — | 2 | 4 | no | — |
| 103 | C4×C7×D4 | C23 | 1 | 4 | yes | — |
| 104 | C7×#117 | — | 2 | 2 | no | — |
| 105 | C7×#117 | C23 | 1 | 1 | yes | characteristic |
| 106 | C2×C7×C4⋊C4 | — | 2 | 2 | no | — |
| 107 | C2×C7×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 108 | #6513 | — | 2 | 8 | no | — |
| 109 | #6510 | C23 | 1 | 2 | yes | — |
| 110 | #6509 | C23 | 1 | 4 | yes | — |
| 111 | #6507 | C23 | 1 | 2 | yes | — |
| 112 | C2×#1144 | C23 | 1 | 2 | yes | — |
| 113 | C2×#1143 | C23 | 1 | 2 | yes | — |
| 114 | #6503 | C23 | 1 | 2 | yes | — |
| 115 | #6502 | — | 2 | 4 | no | — |
| 116 | #6502 | — | 2 | 2 | no | — |
| 117 | #6502 | — | 2 | 2 | no | — |
| 118 | #6501 | C23 | 1 | 4 | yes | — |
| 119 | #6499 | C23 | 1 | 2 | yes | — |
| 120 | C2×#1142 | C23 | 1 | 2 | yes | — |
| 121 | C2×#1141 | C23 | 1 | 2 | yes | — |
| 122 | #6493 | — | 2 | 4 | no | — |
| 123 | #6493 | — | 2 | 2 | no | — |
| 124 | #6492 | — | 2 | 4 | no | — |
| 125 | C4×C22⋊D7 | — | 2 | 2 | no | — |
| 126 | C4×C22⋊D7 | — | 2 | 2 | no | — |
| 127 | C4×C22⋊D7 | — | 2 | 4 | no | — |
| 128 | C2×C4⋊Dic7 | C23 | 1 | 2 | yes | — |
| 129 | #6487 | — | 2 | 2 | no | — |
| 130 | #6487 | — | 2 | 4 | no | — |
| 131 | C2×Dic7⋊C4 | — | 2 | 2 | no | — |
| 132 | C2×C4×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 133 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 134 | C22×C7⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 135 | #6470 | — | 2 | 4 | no | — |
| 136 | C2×Dic28 | C23 | 1 | 1 | yes | characteristic |
| 137 | #6467 | — | 2 | 4 | no | — |
| 138 | C2×D56 | C23 | 1 | 1 | yes | characteristic |
| 139 | C2×#1132 | C23 | 1 | 2 | yes | — |
| 140 | #6464 | — | 2 | 4 | no | — |
| 141 | C2×#1131 | C23 | 1 | 2 | yes | — |
| 142 | C2×#1131 | C23 | 1 | 2 | yes | — |
| 143 | C2×C8×D7 | C23 | 1 | 2 | yes | — |
| 144 | C2×C8×D7 | C23 | 1 | 2 | yes | — |
| 145 | #6460 | — | 2 | 2 | no | — |
| 146 | #6460 | C23 | 1 | 4 | yes | — |
| 147 | #6459 | — | 2 | 4 | no | — |
| 148 | #6459 | — | 2 | 4 | no | — |
| 149 | #6458 | — | 2 | 2 | no | — |
| 150 | #6458 | C23 | 1 | 4 | yes | — |
| 151 | #6457 | — | 2 | 4 | no | — |
| 152 | #6456 | D4 | 1 | 2 | yes | — |
| 153 | #6455 | — | 2 | 2 | no | — |
| 154 | D7×C4⋊C4 | — | 2 | 2 | no | — |
| 155 | #6452 | — | 2 | 4 | no | — |
| 156 | #6451 | — | 2 | 2 | no | — |
| 157 | #6451 | — | 2 | 2 | no | — |
| 158 | #6451 | C23 | 1 | 4 | yes | — |
| 159 | #6451 | C23 | 1 | 4 | yes | — |
| 160 | #6450 | D4 | 1 | 2 | yes | — |
| 161 | #6448 | — | 2 | 4 | no | — |
| 162 | #6448 | — | 2 | 4 | no | — |
| 163 | #6447 | — | 2 | 4 | no | — |
| 164 | (C22⋊D7)⋊C4 | — | 2 | 4 | no | — |
| 165 | (C22⋊D7)⋊C4 | D4 | 1 | 4 | yes | — |
| 166 | #6442 | — | 2 | 4 | no | — |
| 167 | #6439 | — | 2 | 4 | no | — |
| 168 | #6438 | — | 2 | 4 | no | — |
| 169 | C4×D28 | C23 | 1 | 4 | yes | — |
| 170 | #6435 | — | 2 | 4 | no | — |
| 171 | #6435 | C23 | 1 | 2 | yes | — |
| 172 | C42×D7 | C23 | 1 | 2 | yes | — |
| 173 | C4×Dic14 | — | 2 | 4 | no | — |
| 174 | C4×Dic14 | C23 | 1 | 4 | yes | — |
| 175 | C7×#106 | C23 | 1 | 2 | yes | — |
| 176 | C7×#106 | C23 | 1 | 2 | yes | — |
| 177 | C7×#103 | C23 | 1 | 4 | yes | — |
| 178 | C7×#102 | C23 | 1 | 4 | yes | — |
| 179 | C7×#97 | C23 | 1 | 2 | yes | — |
| 180 | C4×C7×C8 | C23 | 1 | 2 | yes | — |
| 181 | #6409 | C23 | 1 | 4 | yes | — |
| 182 | #6406 | C23 | 1 | 4 | yes | — |
| 183 | #6395 | C23 | 1 | 4 | yes | — |
| 184 | #6391 | C23 | 1 | 2 | yes | — |
| 185 | #6391 | C23 | 1 | 2 | yes | — |
| 186 | #6390 | C23 | 1 | 4 | yes | — |
| 187 | #6389 | C23 | 1 | 2 | yes | — |
| 188 | C8×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 189 | C8×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 190 | C8×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 191 | C8×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 192 | C8×Dic7 | C23 | 1 | 2 | yes | — |
| 193 | #6384 | C23 | 1 | 4 | yes | — |
| 194 | #6383 | C23 | 1 | 4 | yes | — |
| 195 | #6382 | C23 | 1 | 4 | yes | — |
| 196 | #6382 | C23 | 1 | 4 | yes | — |
| 197 | #6377 | C23 | 1 | 2 | yes | — |
| 198 | C4×C7⋊C8 | C23 | 1 | 2 | yes | — |
| 199 | #3511 | — | 7 | 2 | no | — |
| 200 | #3185 | — | 7 | 2 | no | — |
| 201 | #3184 | — | 7 | 2 | no | — |
| 202 | #3173 | — | 7 | 2 | no | — |
| 203 | #3173 | — | 7 | 2 | no | — |
| 204 | #3173 | — | 7 | 4 | no | — |
| 205 | #3167 | — | 7 | 4 | no | — |
| 206 | C2×#498 | — | 7 | 1 | no | — |
| 207 | #3147 | — | 7 | 1 | no | — |
| 208 | #3141 | — | 7 | 2 | no | — |
| 209 | #3060 | — | 7 | 1 | no | — |
| 210 | #3060 | — | 7 | 2 | no | — |
| 211 | #3060 | — | 7 | 1 | no | — |
| 212 | #2952 | — | 7 | 1 | no | — |
| 213 | #2952 | — | 7 | 2 | no | — |
| 214 | #2952 | D7 | 1 | 1 | yes | characteristic, complemented |
| 215 | C4×#131 | — | 7 | 1 | no | — |
| 216 | C7×#41 | — | 2 | 4 | no | — |
| 217 | C7×#41 | — | 2 | 4 | no | — |
| 218 | C2×C7×Q8 | C24 | 1 | 2 | yes | — |
| 219 | C2×C7×D4 | — | 2 | 2 | no | — |
| 220 | C2×C7×D4 | C24 | 1 | 2 | yes | — |
| 221 | C22×C4×C7 | — | 2 | 2 | no | — |
| 222 | C22×C4×C7 | — | 2 | 2 | no | — |
| 223 | C22×C4×C7 | — | 2 | 4 | no | — |
| 224 | C22×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 225 | C2×C22⋊D7 | — | 2 | 2 | no | — |
| 226 | C2×C22⋊D7 | — | 2 | 4 | no | — |
| 227 | C2×C22⋊D7 | — | 2 | 2 | no | — |
| 228 | C2×C22⋊D7 | — | 2 | 2 | no | — |
| 229 | C2×C22⋊D7 | C2×D4 | 1 | 2 | yes | — |
| 230 | C22×Dic7 | — | 2 | 2 | no | — |
| 231 | C22×Dic7 | C2×D4 | 1 | 2 | yes | — |
| 232 | #1157 | — | 2 | 2 | no | — |
| 233 | #1157 | — | 2 | 2 | no | — |
| 234 | #1157 | — | 2 | 4 | no | — |
| 235 | #1157 | — | 2 | 4 | no | — |
| 236 | #1157 | — | 8 | 8 | no | — |
| 237 | C2×D28 | — | 2 | 4 | no | — |
| 238 | C2×D28 | C2×D4 | 1 | 1 | yes | characteristic |
| 239 | C2×D28 | C24 | 1 | 2 | yes | — |
| 240 | C2×C4×D7 | — | 2 | 2 | no | — |
| 241 | C2×C4×D7 | — | 2 | 4 | no | — |
| 242 | C2×C4×D7 | C2×D4 | 1 | 4 | yes | — |
| 243 | C2×C4×D7 | C24 | 1 | 2 | yes | — |
| 244 | C2×Dic14 | — | 2 | 4 | no | — |
| 245 | C2×Dic14 | — | 2 | 4 | no | — |
| 246 | C2×Dic14 | — | 8 | 4 | no | — |
| 247 | C2×Dic14 | C2×D4 | 1 | 1 | yes | characteristic |
| 248 | C2×Dic14 | C24 | 1 | 2 | yes | — |
| 249 | C7×Q16 | — | 2 | 2 | no | — |
| 250 | C7×SD16 | — | 2 | 4 | no | — |
| 251 | C7×D8 | — | 2 | 2 | no | — |
| 252 | C7×M16 | — | 2 | 2 | no | — |
| 253 | C2×C7×C8 | #41 | 1 | 4 | yes | complemented |
| 254 | C2×C7×C8 | C24 | 1 | 2 | yes | — |
| 255 | C2×C7×C8 | C24 | 1 | 1 | yes | characteristic |
| 256 | C2×C7×C8 | C24 | 1 | 1 | yes | characteristic |
| 257 | C7×C4⋊C4 | — | 2 | 2 | no | — |
| 258 | C7×C4⋊C4 | — | 2 | 4 | no | — |
| 259 | C7×C4⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 260 | C7×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 261 | C7×C22⋊C4 | — | 2 | 4 | no | — |
| 262 | C7×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 263 | C42×C7 | — | 2 | 4 | no | — |
| 264 | C42×C7 | C24 | 1 | 2 | yes | — |
| 265 | C22⋊Dic7 | — | 2 | 2 | no | — |
| 266 | C22⋊Dic7 | — | 2 | 4 | no | — |
| 267 | C22⋊Dic7 | — | 2 | 2 | no | — |
| 268 | #1144 | — | 2 | 4 | no | — |
| 269 | #1143 | — | 2 | 4 | no | — |
| 270 | #1142 | — | 2 | 4 | no | — |
| 271 | #1141 | — | 2 | 4 | no | — |
| 272 | (C2×D7)⋊C4 | — | 2 | 4 | no | — |
| 273 | (C2×D7)⋊C4 | — | 2 | 4 | no | — |
| 274 | (C2×D7)⋊C4 | — | 2 | 4 | no | — |
| 275 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 276 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 277 | (C2×D7)⋊C4 | — | 2 | 4 | no | — |
| 278 | (C2×D7)⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 279 | C4⋊Dic7 | — | 2 | 2 | no | — |
| 280 | C4⋊Dic7 | — | 2 | 4 | no | — |
| 281 | C4⋊Dic7 | C24 | 1 | 4 | yes | — |
| 282 | Dic7⋊C4 | — | 2 | 4 | no | — |
| 283 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 284 | Dic7⋊C4 | — | 2 | 4 | no | — |
| 285 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 286 | Dic7⋊C4 | — | 2 | 4 | no | — |
| 287 | Dic7⋊C4 | — | 2 | 4 | no | — |
| 288 | Dic7⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 289 | C4×Dic7 | — | 2 | 4 | no | — |
| 290 | C4×Dic7 | C2×D4 | 1 | 4 | yes | — |
| 291 | C4×Dic7 | C2×D4 | 1 | 2 | yes | — |
| 292 | C4×Dic7 | C24 | 1 | 1 | yes | characteristic |
| 293 | C4×Dic7 | C24 | 1 | 1 | yes | characteristic |
| 294 | #1136 | — | 2 | 2 | no | — |
| 295 | C2×C7⋊C8 | #41 | 1 | 4 | yes | complemented |
| 296 | C2×C7⋊C8 | C24 | 1 | 2 | yes | — |
| 297 | C2×C7⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 298 | C2×C7⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 299 | Dic28 | — | 2 | 2 | no | — |
| 300 | D56 | — | 2 | 2 | no | — |
| 301 | #1132 | — | 2 | 4 | no | — |
| 302 | #1131 | — | 2 | 4 | no | — |
| 303 | #1131 | — | 2 | 4 | no | — |
| 304 | C8×D7 | — | 2 | 4 | no | — |
| 305 | C8×D7 | — | 2 | 4 | no | — |
| 306 | C2×#135 | — | 7 | 2 | no | — |
| 307 | C2×#135 | — | 7 | 1 | no | — |
| 308 | C2×#135 | C2×D7 | 1 | 1 | yes | characteristic |
| 309 | C2×#131 | — | 7 | 1 | no | — |
| 310 | C2×#131 | — | 7 | 1 | no | — |
| 311 | #556 | — | 14 | 2 | no | — |
| 312 | #555 | — | 14 | 2 | no | — |
| 313 | #554 | — | 14 | 2 | no | — |
| 314 | #553 | — | 14 | 4 | no | — |
| 315 | #548 | — | 14 | 4 | no | — |
| 316 | #547 | — | 14 | 2 | no | — |
| 317 | #542 | — | 7 | 4 | no | — |
| 318 | #542 | — | 7 | 4 | no | — |
| 319 | #537 | — | 7 | 2 | no | — |
| 320 | #537 | — | 7 | 2 | no | — |
| 321 | #533 | — | 7 | 4 | no | — |
| 322 | #532 | — | 7 | 4 | no | — |
| 323 | #532 | — | 7 | 2 | no | — |
| 324 | C2×C4⋊Q8 | — | 7 | 2 | no | — |
| 325 | #520 | — | 7 | 2 | no | — |
| 326 | #520 | C2×D7 | 1 | 2 | yes | — |
| 327 | C4×#41 | — | 7 | 1 | no | — |
| 328 | #498 | — | 7 | 2 | no | — |
| 329 | #498 | — | 7 | 2 | no | — |
| 330 | #498 | — | 7 | 2 | no | — |
| 331 | #498 | — | 7 | 2 | no | — |
| 332 | #495 | — | 7 | 1 | no | — |
| 333 | #495 | — | 7 | 2 | no | — |
| 334 | #495 | — | 7 | 1 | no | — |
| 335 | #494 | — | 7 | 1 | no | — |
| 336 | #493 | — | 7 | 1 | no | — |
| 337 | #492 | — | 7 | 2 | no | — |
| 338 | #489 | — | 7 | 4 | no | — |
| 339 | #489 | — | 7 | 4 | no | — |
| 340 | #487 | — | 7 | 4 | no | — |
| 341 | #486 | — | 7 | 4 | no | — |
| 342 | #470 | — | 7 | 2 | no | — |
| 343 | #470 | — | 7 | 2 | no | — |
| 344 | #470 | — | 7 | 4 | no | — |
| 345 | #469 | — | 7 | 2 | no | — |
| 346 | #469 | — | 7 | 2 | no | — |
| 347 | #469 | — | 7 | 4 | no | — |
| 348 | #465 | — | 7 | 4 | no | — |
| 349 | #465 | — | 7 | 4 | no | — |
| 350 | #465 | — | 7 | 4 | no | — |
| 351 | #465 | — | 7 | 4 | no | — |
| 352 | #442 | — | 7 | 4 | no | — |
| 353 | #442 | — | 7 | 2 | no | — |
| 354 | #442 | C2×D7 | 1 | 2 | yes | — |
| 355 | #441 | — | 7 | 4 | no | — |
| 356 | #441 | — | 7 | 2 | no | — |
| 357 | #441 | C2×D7 | 1 | 2 | yes | — |
| 358 | C4×SD16 | — | 7 | 4 | no | — |
| 359 | C4×SD16 | — | 7 | 4 | no | — |
| 360 | C4×SD16 | — | 7 | 4 | no | — |
| 361 | C4×SD16 | C2×D7 | 1 | 4 | yes | — |
| 362 | C2×#106 | — | 7 | 1 | no | — |
| 363 | C2×#106 | — | 7 | 2 | no | — |
| 364 | C2×#106 | C2×D7 | 1 | 1 | yes | characteristic |
| 365 | #417 | — | 7 | 2 | no | — |
| 366 | #417 | — | 7 | 2 | no | — |
| 367 | #417 | — | 7 | 2 | no | — |
| 368 | #417 | C2×D7 | 1 | 2 | yes | — |
| 369 | #405 | — | 7 | 1 | no | — |
| 370 | #405 | — | 7 | 2 | no | — |
| 371 | #405 | — | 7 | 2 | no | — |
| 372 | #405 | C2×D7 | 1 | 1 | yes | characteristic |
| 373 | C4×M16 | — | 7 | 1 | no | — |
| 374 | C4×M16 | — | 7 | 2 | no | — |
| 375 | C2×C4×C8 | — | 7 | 1 | no | — |
| 376 | C2×C4×C8 | — | 7 | 2 | no | — |
| 377 | C23×C7 | — | 2 | 2 | no | — |
| 378 | C23×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 379 | C22×D7 | — | 2 | 2 | no | — |
| 380 | C22×D7 | C22×D4 | 1 | 2 | yes | — |
| 381 | C7×Q8 | — | 2 | 2 | no | — |
| 382 | C7×Q8 | — | 2 | 2 | no | — |
| 383 | C7×D4 | — | 2 | 2 | no | — |
| 384 | C7×D4 | — | 2 | 2 | no | — |
| 385 | C7×D4 | — | 4 | 4 | no | — |
| 386 | C2×C4×C7 | — | 2 | 2 | no | — |
| 387 | C2×C4×C7 | — | 2 | 4 | no | — |
| 388 | C2×C4×C7 | — | 4 | 4 | no | — |
| 389 | C2×C4×C7 | — | 8 | 4 | no | — |
| 390 | C2×C4×C7 | — | 8 | 2 | no | — |
| 391 | C2×C4×C7 | C22×D4 | 1 | 4 | yes | — |
| 392 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 393 | C2×C4×C7 | C2×#41 | 1 | 2 | yes | — |
| 394 | C2×C4×C7 | C2×#41 | 1 | 2 | yes | — |
| 395 | C2×C4×C7 | C25 | 1 | 1 | yes | characteristic |
| 396 | C22⋊D7 | — | 2 | 4 | no | — |
| 397 | C22⋊D7 | — | 4 | 4 | no | — |
| 398 | C22⋊D7 | — | 4 | 4 | no | — |
| 399 | C22⋊D7 | — | 4 | 4 | no | — |
| 400 | C22⋊D7 | — | 8 | 4 | no | — |
| 401 | C2×Dic7 | — | 2 | 4 | no | — |
| 402 | C2×Dic7 | — | 2 | 2 | no | — |
| 403 | C2×Dic7 | — | 2 | 4 | no | — |
| 404 | C2×Dic7 | — | 8 | 2 | no | — |
| 405 | C2×Dic7 | C22×D4 | 1 | 2 | yes | — |
| 406 | C2×Dic7 | C22×D4 | 1 | 2 | yes | — |
| 407 | C2×Dic7 | C22×D4 | 1 | 2 | yes | — |
| 408 | D28 | — | 2 | 2 | no | — |
| 409 | D28 | — | 2 | 2 | no | — |
| 410 | D28 | — | 2 | 2 | no | — |
| 411 | D28 | — | 8 | 4 | no | — |
| 412 | C4×D7 | — | 2 | 2 | no | — |
| 413 | C4×D7 | — | 2 | 2 | no | — |
| 414 | C4×D7 | — | 2 | 8 | no | — |
| 415 | C4×D7 | — | 4 | 4 | no | — |
| 416 | C4×D7 | — | 8 | 4 | no | — |
| 417 | Dic14 | — | 2 | 2 | no | — |
| 418 | Dic14 | — | 2 | 2 | no | — |
| 419 | Dic14 | — | 2 | 2 | no | — |
| 420 | Dic14 | — | 4 | 8 | no | — |
| 421 | Dic14 | — | 8 | 4 | no | — |
| 422 | C7×C8 | — | 2 | 2 | no | — |
| 423 | C7×C8 | C2×#41 | 1 | 2 | yes | — |
| 424 | C7×C8 | C2×#41 | 1 | 2 | yes | — |
| 425 | C7⋊C8 | — | 2 | 2 | no | — |
| 426 | C7⋊C8 | C2×#41 | 1 | 2 | yes | — |
| 427 | C7⋊C8 | C2×#41 | 1 | 2 | yes | — |
| 428 | C2×#41 | — | 7 | 1 | no | — |
| 429 | C2×#41 | — | 7 | 2 | no | — |
| 430 | C2×#41 | — | 14 | 4 | no | — |
| 431 | C2×#41 | C22×D7 | 1 | 2 | yes | — |
| 432 | C22×Q8 | — | 14 | 2 | no | — |
| 433 | #135 | — | 2 | 4 | no | — |
| 434 | #135 | — | 14 | 8 | no | — |
| 435 | #135 | — | 14 | 4 | no | — |
| 436 | C2×Q16 | — | 7 | 2 | no | — |
| 437 | C2×Q16 | — | 7 | 1 | no | — |
| 438 | C2×Q16 | C22×D7 | 1 | 1 | yes | characteristic |
| 439 | C2×SD16 | — | 7 | 2 | no | — |
| 440 | C2×SD16 | — | 7 | 2 | no | — |
| 441 | C2×SD16 | — | 7 | 2 | no | — |
| 442 | C2×SD16 | C22×D7 | 1 | 2 | yes | — |
| 443 | C2×D8 | — | 7 | 2 | no | — |
| 444 | C2×D8 | — | 7 | 1 | no | — |
| 445 | C2×D8 | C22×D7 | 1 | 1 | yes | characteristic |
| 446 | #131 | — | 14 | 4 | no | — |
| 447 | #131 | — | 14 | 4 | no | — |
| 448 | C2×M16 | — | 7 | 1 | no | — |
| 449 | C2×M16 | — | 7 | 2 | no | — |
| 450 | C2×M16 | — | 7 | 2 | no | — |
| 451 | C2×M16 | C22×D7 | 1 | 1 | yes | characteristic |
| 452 | C22×C8 | — | 7 | 1 | no | — |
| 453 | C22×C8 | — | 7 | 2 | no | — |
| 454 | C22×C8 | — | 7 | 2 | no | — |
| 455 | C22×C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 456 | C4⋊Q8 | — | 7 | 4 | no | — |
| 457 | C4⋊Q8 | — | 7 | 4 | no | — |
| 458 | C4⋊Q8 | — | 7 | 2 | no | — |
| 459 | C4⋊Q8 | — | 14 | 2 | no | — |
| 460 | C4⋊Q8 | — | 14 | 2 | no | — |
| 461 | #127 | — | 7 | 2 | no | — |
| 462 | #126 | — | 14 | 4 | no | — |
| 463 | #126 | — | 14 | 4 | no | — |
| 464 | #125 | — | 14 | 4 | no | — |
| 465 | #124 | — | 7 | 2 | no | — |
| 466 | #124 | — | 7 | 2 | no | — |
| 467 | #124 | — | 14 | 4 | no | — |
| 468 | #124 | — | 14 | 4 | no | — |
| 469 | #124 | — | 14 | 4 | no | — |
| 470 | #123 | — | 14 | 4 | no | — |
| 471 | #123 | — | 14 | 4 | no | — |
| 472 | C22⋊Q8 | — | 7 | 4 | no | — |
| 473 | C22⋊Q8 | — | 7 | 4 | no | — |
| 474 | C22⋊Q8 | — | 14 | 4 | no | — |
| 475 | C22⋊Q8 | — | 14 | 4 | no | — |
| 476 | C22⋊Q8 | — | 14 | 2 | no | — |
| 477 | C22⋊Q8 | — | 14 | 4 | no | — |
| 478 | C22⋊Q8 | — | 14 | 2 | no | — |
| 479 | #121 | — | 7 | 4 | no | — |
| 480 | #121 | — | 7 | 4 | no | — |
| 481 | #121 | — | 14 | 4 | no | — |
| 482 | #121 | — | 14 | 2 | no | — |
| 483 | #121 | — | 14 | 2 | no | — |
| 484 | #121 | — | 14 | 4 | no | — |
| 485 | #121 | — | 14 | 2 | no | — |
| 486 | #121 | — | 14 | 2 | no | — |
| 487 | #121 | — | 14 | 4 | no | — |
| 488 | C4×Q8 | — | 7 | 2 | no | — |
| 489 | C4×Q8 | — | 7 | 4 | no | — |
| 490 | C4×Q8 | — | 14 | 4 | no | — |
| 491 | C4×Q8 | C22×D7 | 1 | 4 | yes | — |
| 492 | C4×D4 | — | 2 | 4 | no | — |
| 493 | C4×D4 | — | 7 | 2 | no | — |
| 494 | C4×D4 | — | 7 | 4 | no | — |
| 495 | C4×D4 | — | 7 | 4 | no | — |
| 496 | C4×D4 | — | 14 | 2 | no | — |
| 497 | C4×D4 | — | 14 | 4 | no | — |
| 498 | C4×D4 | — | 14 | 2 | no | — |
| 499 | C4×D4 | — | 14 | 4 | no | — |
| 500 | C4×D4 | C22×D7 | 1 | 4 | yes | — |
| 501 | #117 | — | 2 | 2 | no | — |
| 502 | #117 | — | 7 | 2 | no | — |
| 503 | #117 | — | 14 | 4 | no | — |
| 504 | #117 | — | 14 | 2 | no | — |
| 505 | #117 | C22×D7 | 1 | 1 | yes | characteristic |
| 506 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 507 | C2×C4⋊C4 | — | 7 | 2 | no | — |
| 508 | C2×C4⋊C4 | — | 14 | 2 | no | — |
| 509 | C2×C4⋊C4 | — | 14 | 2 | no | — |
| 510 | C2×C4⋊C4 | C22×D7 | 1 | 2 | yes | — |
| 511 | C2×C42 | — | 7 | 1 | no | — |
| 512 | C2×C42 | — | 7 | 2 | no | — |
| 513 | #106 | — | 7 | 2 | no | — |
| 514 | #106 | — | 7 | 2 | no | — |
| 515 | #106 | — | 7 | 4 | no | — |
| 516 | #106 | — | 7 | 4 | no | — |
| 517 | #106 | C22×D7 | 1 | 2 | yes | — |
| 518 | #106 | C22×D7 | 1 | 2 | yes | — |
| 519 | #103 | — | 7 | 4 | no | — |
| 520 | #103 | — | 7 | 4 | no | — |
| 521 | #103 | — | 7 | 4 | no | — |
| 522 | #103 | C22×D7 | 1 | 4 | yes | — |
| 523 | #102 | — | 7 | 4 | no | — |
| 524 | #102 | — | 7 | 4 | no | — |
| 525 | #102 | — | 7 | 4 | no | — |
| 526 | #102 | C22×D7 | 1 | 4 | yes | — |
| 527 | #97 | — | 7 | 2 | no | — |
| 528 | #97 | — | 7 | 2 | no | — |
| 529 | #97 | C22×D7 | 1 | 2 | yes | — |
| 530 | C4×C8 | — | 7 | 1 | no | — |
| 531 | C4×C8 | — | 7 | 2 | no | — |
| 532 | C4×C8 | — | 7 | 1 | no | — |
| 533 | C4×C8 | — | 7 | 1 | no | — |
| 534 | C4×C8 | — | 7 | 1 | no | — |
| 535 | C4×C8 | — | 7 | 2 | no | — |
| 536 | C4×C8 | C22×D7 | 1 | 2 | yes | — |
| 537 | C22×C7 | — | 2 | 2 | no | — |
| 538 | C22×C7 | — | 4 | 2 | no | — |
| 539 | C22×C7 | — | 4 | 2 | no | — |
| 540 | C22×C7 | — | 4 | 2 | no | — |
| 541 | C22×C7 | #532 | 1 | 2 | yes | — |
| 542 | C22×C7 | C23×D4 | 1 | 1 | yes | characteristic |
| 543 | C2×D7 | — | 2 | 2 | no | — |
| 544 | C2×D7 | — | 2 | 4 | no | — |
| 545 | C2×D7 | — | 4 | 2 | no | — |
| 546 | C2×D7 | — | 4 | 2 | no | — |
| 547 | C2×D7 | — | 4 | 2 | no | — |
| 548 | C4×C7 | — | 2 | 4 | no | — |
| 549 | C4×C7 | — | 4 | 2 | no | — |
| 550 | C4×C7 | — | 4 | 4 | no | — |
| 551 | C4×C7 | #532 | 1 | 2 | yes | — |
| 552 | C4×C7 | C22×#41 | 1 | 1 | yes | characteristic |
| 553 | C4×C7 | C22×#41 | 1 | 1 | yes | characteristic |
| 554 | Dic7 | — | 2 | 2 | no | — |
| 555 | Dic7 | — | 2 | 2 | no | — |
| 556 | Dic7 | — | 4 | 2 | no | — |
| 557 | Dic7 | — | 4 | 4 | no | — |
| 558 | Dic7 | #577 | 1 | 4 | yes | — |
| 559 | #41 | — | 2 | 4 | no | — |
| 560 | #41 | — | 2 | 4 | no | — |
| 561 | #41 | — | 14 | 2 | no | — |
| 562 | #41 | — | 14 | 2 | no | — |
| 563 | #41 | — | 14 | 4 | no | — |
| 564 | #41 | — | 14 | 4 | no | — |
| 565 | #41 | — | 56 | 8 | no | — |
| 566 | C2×Q8 | — | 7 | 1 | no | — |
| 567 | C2×Q8 | — | 7 | 2 | no | — |
| 568 | C2×Q8 | — | 14 | 4 | no | — |
| 569 | C2×Q8 | — | 14 | 4 | no | — |
| 570 | C2×Q8 | — | 56 | 4 | no | — |
| 571 | C2×Q8 | C23×D7 | 1 | 2 | yes | — |
| 572 | C2×D4 | — | 2 | 2 | no | — |
| 573 | C2×D4 | — | 7 | 2 | no | — |
| 574 | C2×D4 | — | 7 | 1 | no | — |
| 575 | C2×D4 | — | 7 | 2 | no | — |
| 576 | C2×D4 | — | 14 | 4 | no | — |
| 577 | C2×D4 | — | 14 | 2 | no | — |
| 578 | C2×D4 | — | 14 | 2 | no | — |
| 579 | C2×D4 | — | 14 | 2 | no | — |
| 580 | C2×D4 | — | 14 | 4 | no | — |
| 581 | C2×D4 | C23×D7 | 1 | 2 | yes | — |
| 582 | C22×C4 | — | 2 | 2 | no | — |
| 583 | C22×C4 | — | 2 | 2 | no | — |
| 584 | C22×C4 | — | 2 | 4 | no | — |
| 585 | C22×C4 | — | 7 | 2 | no | — |
| 586 | C22×C4 | — | 7 | 4 | no | — |
| 587 | C22×C4 | — | 7 | 2 | no | — |
| 588 | C22×C4 | — | 14 | 2 | no | — |
| 589 | C22×C4 | — | 14 | 2 | no | — |
| 590 | C22×C4 | — | 14 | 4 | no | — |
| 591 | C22×C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 592 | Q16 | — | 2 | 2 | no | — |
| 593 | Q16 | — | 14 | 4 | no | — |
| 594 | Q16 | — | 14 | 2 | no | — |
| 595 | SD16 | — | 2 | 4 | no | — |
| 596 | SD16 | — | 14 | 4 | no | — |
| 597 | SD16 | — | 14 | 4 | no | — |
| 598 | SD16 | — | 14 | 4 | no | — |
| 599 | D8 | — | 2 | 2 | no | — |
| 600 | D8 | — | 14 | 4 | no | — |
| 601 | D8 | — | 14 | 2 | no | — |
| 602 | M16 | — | 2 | 2 | no | — |
| 603 | M16 | — | 14 | 4 | no | — |
| 604 | M16 | — | 14 | 2 | no | — |
| 605 | M16 | — | 14 | 4 | no | — |
| 606 | C2×C8 | — | 7 | 4 | no | — |
| 607 | C2×C8 | — | 7 | 1 | no | — |
| 608 | C2×C8 | — | 7 | 1 | no | — |
| 609 | C2×C8 | — | 7 | 2 | no | — |
| 610 | C2×C8 | — | 14 | 4 | no | — |
| 611 | C2×C8 | — | 14 | 4 | no | — |
| 612 | C2×C8 | #1157 | 1 | 4 | yes | complemented |
| 613 | C2×C8 | C23×D7 | 1 | 2 | yes | — |
| 614 | C2×C8 | C23×D7 | 1 | 1 | yes | characteristic |
| 615 | C2×C8 | C23×D7 | 1 | 1 | yes | characteristic |
| 616 | C4⋊C4 | — | 2 | 2 | no | — |
| 617 | C4⋊C4 | — | 2 | 4 | no | — |
| 618 | C4⋊C4 | — | 7 | 4 | no | — |
| 619 | C4⋊C4 | — | 7 | 4 | no | — |
| 620 | C4⋊C4 | — | 14 | 4 | no | — |
| 621 | C4⋊C4 | — | 14 | 4 | no | — |
| 622 | C4⋊C4 | — | 14 | 2 | no | — |
| 623 | C4⋊C4 | — | 14 | 2 | no | — |
| 624 | C4⋊C4 | — | 14 | 4 | no | — |
| 625 | C4⋊C4 | — | 14 | 4 | no | — |
| 626 | C4⋊C4 | — | 14 | 4 | no | — |
| 627 | C4⋊C4 | — | 14 | 2 | no | — |
| 628 | C4⋊C4 | D4×D7 | 1 | 2 | yes | — |
| 629 | C4⋊C4 | C23×D7 | 1 | 4 | yes | — |
| 630 | C22⋊C4 | — | 2 | 4 | no | — |
| 631 | C22⋊C4 | — | 7 | 4 | no | — |
| 632 | C22⋊C4 | — | 14 | 4 | no | — |
| 633 | C22⋊C4 | — | 14 | 2 | no | — |
| 634 | C22⋊C4 | — | 14 | 2 | no | — |
| 635 | C22⋊C4 | — | 14 | 4 | no | — |
| 636 | C22⋊C4 | — | 14 | 4 | no | — |
| 637 | C22⋊C4 | — | 14 | 4 | no | — |
| 638 | C22⋊C4 | — | 14 | 2 | no | — |
| 639 | C22⋊C4 | — | 14 | 2 | no | — |
| 640 | C22⋊C4 | — | 14 | 4 | no | — |
| 641 | C22⋊C4 | D4×D7 | 1 | 2 | yes | — |
| 642 | C42 | — | 2 | 4 | no | — |
| 643 | C42 | — | 7 | 2 | no | — |
| 644 | C42 | — | 7 | 4 | no | — |
| 645 | C42 | — | 7 | 1 | no | — |
| 646 | C42 | — | 7 | 1 | no | — |
| 647 | C42 | — | 14 | 4 | no | — |
| 648 | C42 | C23×D7 | 1 | 2 | yes | — |
| 649 | C2×C7 | — | 2 | 2 | no | — |
| 650 | C2×C7 | — | 8 | 2 | no | — |
| 651 | C2×C7 | C2×#532 | 1 | 1 | yes | characteristic |
| 652 | C2×C7 | C2×#577 | 1 | 2 | yes | — |
| 653 | D7 | — | 4 | 2 | no | — |
| 654 | D7 | — | 8 | 2 | no | — |
| 655 | C23 | — | 2 | 2 | no | — |
| 656 | C23 | — | 7 | 2 | no | — |
| 657 | C23 | — | 14 | 2 | no | — |
| 658 | C23 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 659 | Q8 | — | 2 | 2 | no | — |
| 660 | Q8 | — | 2 | 2 | no | — |
| 661 | Q8 | — | 14 | 2 | no | — |
| 662 | Q8 | — | 14 | 2 | no | — |
| 663 | Q8 | — | 14 | 2 | no | — |
| 664 | Q8 | — | 28 | 8 | no | — |
| 665 | Q8 | — | 56 | 4 | no | — |
| 666 | D4 | — | 2 | 2 | no | — |
| 667 | D4 | — | 2 | 2 | no | — |
| 668 | D4 | — | 4 | 4 | no | — |
| 669 | D4 | — | 14 | 4 | no | — |
| 670 | D4 | — | 14 | 2 | no | — |
| 671 | D4 | — | 14 | 2 | no | — |
| 672 | D4 | — | 14 | 2 | no | — |
| 673 | D4 | — | 28 | 4 | no | — |
| 674 | D4 | — | 28 | 4 | no | — |
| 675 | D4 | — | 28 | 4 | no | — |
| 676 | D4 | — | 56 | 4 | no | — |
| 677 | D4 | — | 56 | 4 | no | — |
| 678 | C2×C4 | — | 2 | 2 | no | — |
| 679 | C2×C4 | — | 2 | 4 | no | — |
| 680 | C2×C4 | — | 4 | 4 | no | — |
| 681 | C2×C4 | — | 7 | 2 | no | — |
| 682 | C2×C4 | — | 7 | 2 | no | — |
| 683 | C2×C4 | — | 7 | 2 | no | — |
| 684 | C2×C4 | — | 8 | 4 | no | — |
| 685 | C2×C4 | — | 8 | 2 | no | — |
| 686 | C2×C4 | — | 14 | 8 | no | — |
| 687 | C2×C4 | — | 14 | 4 | no | — |
| 688 | C2×C4 | — | 14 | 2 | no | — |
| 689 | C2×C4 | — | 14 | 2 | no | — |
| 690 | C2×C4 | — | 14 | 2 | no | — |
| 691 | C2×C4 | — | 14 | 4 | no | — |
| 692 | C2×C4 | — | 28 | 4 | no | — |
| 693 | C2×C4 | — | 56 | 4 | no | — |
| 694 | C2×C4 | — | 56 | 2 | no | — |
| 695 | C2×C4 | C2×#1157 | 1 | 2 | yes | — |
| 696 | C2×C4 | C2×D4×D7 | 1 | 4 | yes | — |
| 697 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 698 | C2×C4 | D7×#41 | 1 | 2 | yes | — |
| 699 | C2×C4 | C24×D7 | 1 | 1 | yes | characteristic |
| 700 | C8 | — | 2 | 2 | no | — |
| 701 | C8 | — | 7 | 2 | no | — |
| 702 | C8 | — | 7 | 2 | no | — |
| 703 | C8 | — | 14 | 2 | no | — |
| 704 | C8 | C2×#1157 | 1 | 2 | yes | — |
| 705 | C8 | C2×#1157 | 1 | 2 | yes | — |
| 706 | C7 | #60716 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 707 | C22 | — | 2 | 2 | no | — |
| 708 | C22 | — | 4 | 2 | no | — |
| 709 | C22 | — | 4 | 2 | no | — |
| 710 | C22 | — | 4 | 2 | no | — |
| 711 | C22 | — | 14 | 4 | no | — |
| 712 | C22 | — | 14 | 2 | no | — |
| 713 | C22 | — | 28 | 2 | no | — |
| 714 | C22 | — | 28 | 2 | no | — |
| 715 | C22 | — | 28 | 2 | no | — |
| 716 | C22 | #90239 | 1 | 2 | yes | — |
| 717 | C22 | C22×D4×D7 | 1 | 1 | yes | characteristic |
| 718 | C4 | — | 2 | 4 | no | — |
| 719 | C4 | — | 4 | 4 | no | — |
| 720 | C4 | — | 4 | 2 | no | — |
| 721 | C4 | — | 7 | 4 | no | — |
| 722 | C4 | — | 14 | 2 | no | — |
| 723 | C4 | — | 14 | 2 | no | — |
| 724 | C4 | — | 28 | 4 | no | — |
| 725 | C4 | — | 28 | 2 | no | — |
| 726 | C4 | #90239 | 1 | 2 | yes | — |
| 727 | C4 | C22×#1157 | 1 | 1 | yes | characteristic |
| 728 | C4 | C2×D7×#41 | 1 | 1 | yes | characteristic |
| 729 | C2 | — | 2 | 2 | no | — |
| 730 | C2 | — | 8 | 2 | no | — |
| 731 | C2 | — | 28 | 2 | no | — |
| 732 | C2 | — | 56 | 2 | no | — |
| 733 | C2 | C2×#90239 | 1 | 1 | yes | characteristic |
| 734 | C2 | D7×#577 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11742961 | C2 | semidirect |
| 2. C7×#2952 | C2 | semidirect |
| 3. #11741361 | C2 | semidirect |
| 4. #11741348 | C2 | semidirect |
| 5. #11740003 | C2 | semidirect |
| 6. #11737322 | C2 | semidirect |
| 7. #11737304 | C2 | semidirect |
| 8. #11737283 | C2 | semidirect |
| 9. #11737268 | C2 | semidirect |
| 10. #11737111 | C2 | semidirect |
| 11. #11737107 | C2 | semidirect |
| 12. #11736565 | C2 | semidirect |
| 13. C2×#89627 | C2 | semidirect |
| 14. #11736335 | C2 | semidirect |
| 15. #11736323 | C2 | semidirect |
| 16. #11736019 | C2 | semidirect |
| 17. #11735994 | C2 | semidirect |
| 214. #2952 | D7 | semidirect |
| 253. C2×C7×C8 | #41 | semidirect |
| 295. C2×C7⋊C8 | #41 | semidirect |
| 612. C2×C8 | #1157 | semidirect |
| 706. C7 | #60716 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11742961 | 2 |
| C7×#2952 | 2 |
| #11741361 | 2 |
| #11741348 | 2 |
| #11740003 | 2 |
| #11737322 | 2 |
| #11737304 | 2 |
| #11737283 | 2 |
| #11737268 | 2 |
| #11737111 | 2 |
| #11737107 | 2 |
| #11736565 | 2 |
| C2×#89627 | 2 |
| #11736335 | 2 |
| #11736323 | 2 |
| #11736019 | 2 |
| #11735994 | 2 |
| #60716 | 7 |