Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
2068 conjugacy classes of subgroups.
The subgroup lattice has 784 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #21438496 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #21437867 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #21436420 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #21436212 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #21435958 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #21435821 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #21435737 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #21435683 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #21435093 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #21435048 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #21435006 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #21434127 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #21433412 | C2 | 1 | 4 | yes | maximal, complemented |
| 14 | #21433174 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C59×#3113 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#14273775 | C22 | 1 | 2 | yes | — |
| 17 | C2×#14273759 | C22 | 1 | 4 | yes | — |
| 18 | C2×#14273750 | C22 | 1 | 4 | yes | — |
| 19 | #16838150 | — | 2 | 2 | no | — |
| 20 | #16838112 | — | 2 | 1 | no | — |
| 21 | #16838112 | C22 | 1 | 2 | yes | — |
| 22 | #16838074 | — | 2 | 1 | no | — |
| 23 | #16838074 | — | 2 | 1 | no | — |
| 24 | #16838074 | C22 | 1 | 2 | yes | — |
| 25 | #16838074 | C22 | 1 | 2 | yes | — |
| 26 | Q8×D236 | — | 2 | 1 | no | — |
| 27 | Q8×D236 | C22 | 1 | 2 | yes | — |
| 28 | #16838064 | — | 2 | 2 | no | — |
| 29 | #16838064 | C22 | 1 | 4 | yes | — |
| 30 | #16838055 | C22 | 1 | 2 | yes | — |
| 31 | #16838055 | C22 | 1 | 2 | yes | — |
| 32 | #16838007 | — | 2 | 2 | no | — |
| 33 | #16837983 | — | 2 | 2 | no | — |
| 34 | #16837983 | C22 | 1 | 2 | yes | — |
| 35 | #16837982 | — | 2 | 2 | no | — |
| 36 | #16837982 | C22 | 1 | 4 | yes | — |
| 37 | #16837952 | — | 2 | 2 | no | — |
| 38 | #16837952 | C22 | 1 | 1 | yes | characteristic |
| 39 | #16837952 | C22 | 1 | 1 | yes | characteristic |
| 40 | #16837952 | C22 | 1 | 1 | yes | characteristic |
| 41 | #16837791 | C22 | 1 | 2 | yes | — |
| 42 | #16837781 | C22 | 1 | 1 | yes | characteristic |
| 43 | #16837776 | C22 | 1 | 1 | yes | characteristic |
| 44 | #16837762 | C22 | 1 | 2 | yes | — |
| 45 | #16837754 | C22 | 1 | 1 | yes | characteristic |
| 46 | #16837750 | C22 | 1 | 1 | yes | characteristic |
| 47 | #16837734 | C22 | 1 | 4 | yes | — |
| 48 | #16837722 | C22 | 1 | 4 | yes | — |
| 49 | #16837720 | C22 | 1 | 2 | yes | — |
| 50 | #16837687 | C22 | 1 | 2 | yes | — |
| 51 | #16837659 | C22 | 1 | 4 | yes | — |
| 52 | #16837656 | C22 | 1 | 4 | yes | — |
| 53 | #16837634 | C22 | 1 | 4 | yes | — |
| 54 | #16837632 | C22 | 1 | 4 | yes | — |
| 55 | #16837624 | C22 | 1 | 4 | yes | — |
| 56 | #16837608 | C22 | 1 | 2 | yes | — |
| 57 | #16837602 | C22 | 1 | 2 | yes | — |
| 58 | #16837598 | C22 | 1 | 2 | yes | — |
| 59 | #16837567 | C22 | 1 | 4 | yes | — |
| 60 | #16837563 | C22 | 1 | 4 | yes | — |
| 61 | #16837562 | C22 | 1 | 4 | yes | — |
| 62 | #16837556 | C22 | 1 | 4 | yes | — |
| 63 | #16837550 | C22 | 1 | 4 | yes | — |
| 64 | #16837550 | C22 | 1 | 4 | yes | — |
| 65 | #16837549 | C22 | 1 | 4 | yes | — |
| 66 | #16837542 | C22 | 1 | 4 | yes | — |
| 67 | #16837541 | C22 | 1 | 2 | yes | — |
| 68 | C4×#11745671 | C22 | 1 | 2 | yes | — |
| 69 | C4×#11745671 | C22 | 1 | 2 | yes | — |
| 70 | #16837479 | C22 | 1 | 2 | yes | — |
| 71 | #16837475 | C22 | 1 | 4 | yes | — |
| 72 | #16837467 | C22 | 1 | 2 | yes | — |
| 73 | #16837455 | C22 | 1 | 1 | yes | characteristic |
| 74 | #16837402 | C22 | 1 | 4 | yes | — |
| 75 | #103×D59 | C22 | 1 | 4 | yes | — |
| 76 | #16837367 | C22 | 1 | 4 | yes | — |
| 77 | C59×#533 | C22 | 1 | 1 | yes | characteristic |
| 78 | C2×C4×Q8×C59 | C22 | 1 | 1 | yes | characteristic |
| 79 | C59×#483 | C22 | 1 | 2 | yes | — |
| 80 | C59×#475 | C22 | 1 | 2 | yes | — |
| 81 | C59×#462 | C22 | 1 | 2 | yes | — |
| 82 | C59×#451 | C22 | 1 | 2 | yes | — |
| 83 | C59×#441 | C22 | 1 | 4 | yes | — |
| 84 | C59×#432 | C22 | 1 | 1 | yes | characteristic |
| 85 | #14273775 | — | 4 | 8 | no | — |
| 86 | C2×#11745689 | — | 2 | 2 | no | — |
| 87 | C2×#11745689 | — | 2 | 2 | no | — |
| 88 | C2×#11745689 | C23 | 1 | 4 | yes | — |
| 89 | C2×#11745689 | C23 | 1 | 4 | yes | — |
| 90 | C2×#11745685 | — | 2 | 4 | no | — |
| 91 | C2×#11745685 | — | 2 | 1 | no | — |
| 92 | C2×#11745685 | C23 | 1 | 2 | yes | — |
| 93 | C2×#11745685 | C23 | 1 | 2 | yes | — |
| 94 | C2×Q8×D59 | — | 2 | 2 | no | — |
| 95 | C2×Q8×D59 | C23 | 1 | 4 | yes | — |
| 96 | #14273759 | — | 4 | 8 | no | — |
| 97 | #14273750 | — | 4 | 8 | no | — |
| 98 | C2×#11745672 | C23 | 1 | 4 | yes | — |
| 99 | C2×#11745660 | C23 | 1 | 4 | yes | — |
| 100 | C2×#11745671 | C23 | 1 | 2 | yes | — |
| 101 | C2×#11745671 | C23 | 1 | 2 | yes | — |
| 102 | C2×#11745671 | C23 | 1 | 4 | yes | — |
| 103 | C2×D472 | C23 | 1 | 4 | yes | — |
| 104 | C2×#11745659 | C23 | 1 | 4 | yes | — |
| 105 | C2×C8×D59 | C23 | 1 | 4 | yes | — |
| 106 | #14273727 | — | 2 | 2 | no | — |
| 107 | #14273727 | D4 | 1 | 1 | yes | characteristic |
| 108 | #14273727 | C23 | 1 | 1 | yes | characteristic |
| 109 | #14273727 | C23 | 1 | 1 | yes | characteristic |
| 110 | #14273724 | — | 2 | 2 | no | — |
| 111 | #14273724 | — | 2 | 2 | no | — |
| 112 | #14273724 | D4 | 1 | 1 | yes | characteristic |
| 113 | #14273724 | C23 | 1 | 1 | yes | characteristic |
| 114 | #14273724 | C23 | 1 | 1 | yes | characteristic |
| 115 | #14273719 | — | 2 | 2 | no | — |
| 116 | #14273715 | — | 2 | 1 | no | — |
| 117 | #14273715 | — | 2 | 4 | no | — |
| 118 | #14273715 | D4 | 1 | 2 | yes | — |
| 119 | #14273715 | C23 | 1 | 2 | yes | — |
| 120 | #14273712 | — | 2 | 4 | no | — |
| 121 | #14273712 | — | 2 | 4 | no | — |
| 122 | #14273707 | — | 2 | 2 | no | — |
| 123 | #14273707 | — | 2 | 4 | no | — |
| 124 | #14273707 | — | 2 | 4 | no | — |
| 125 | #14273707 | C23 | 1 | 4 | yes | — |
| 126 | #14273705 | — | 2 | 4 | no | — |
| 127 | #14273705 | — | 2 | 4 | no | — |
| 128 | #14273703 | — | 2 | 2 | no | — |
| 129 | #14273703 | C23 | 1 | 4 | yes | — |
| 130 | #14273702 | — | 2 | 4 | no | — |
| 131 | #14273702 | — | 2 | 2 | no | — |
| 132 | #14273702 | — | 2 | 4 | no | — |
| 133 | #14273702 | — | 2 | 2 | no | — |
| 134 | #14273702 | — | 2 | 4 | no | — |
| 135 | #14273702 | — | 2 | 4 | no | — |
| 136 | #14273702 | C23 | 1 | 4 | yes | — |
| 137 | #14273702 | C23 | 1 | 4 | yes | — |
| 138 | #14273701 | — | 2 | 1 | no | — |
| 139 | #14273701 | — | 2 | 1 | no | — |
| 140 | #14273701 | — | 2 | 1 | no | — |
| 141 | #14273701 | — | 2 | 4 | no | — |
| 142 | #14273701 | D4 | 1 | 2 | yes | — |
| 143 | #14273701 | D4 | 1 | 2 | yes | — |
| 144 | #14273701 | C23 | 1 | 2 | yes | — |
| 145 | #14273700 | — | 2 | 4 | no | — |
| 146 | #14273700 | — | 2 | 4 | no | — |
| 147 | C4×D236 | — | 2 | 2 | no | — |
| 148 | C4×D236 | — | 2 | 2 | no | — |
| 149 | C4×D236 | — | 2 | 1 | no | — |
| 150 | C4×D236 | — | 2 | 1 | no | — |
| 151 | C4×D236 | — | 2 | 1 | no | — |
| 152 | C4×D236 | — | 2 | 4 | no | — |
| 153 | C4×D236 | — | 2 | 2 | no | — |
| 154 | C4×D236 | — | 2 | 2 | no | — |
| 155 | C4×D236 | C23 | 1 | 2 | yes | — |
| 156 | C4×D236 | C23 | 1 | 2 | yes | — |
| 157 | C4×D236 | C23 | 1 | 2 | yes | — |
| 158 | C4⋊C4×D59 | — | 2 | 2 | no | — |
| 159 | C4⋊C4×D59 | C23 | 1 | 4 | yes | — |
| 160 | #14273658 | C23 | 1 | 2 | yes | — |
| 161 | #14273658 | C23 | 1 | 2 | yes | — |
| 162 | C4⋊(C59⋊C8) | C23 | 1 | 2 | yes | — |
| 163 | #14273652 | C23 | 1 | 4 | yes | — |
| 164 | #14273651 | C23 | 1 | 2 | yes | — |
| 165 | #14273651 | C23 | 1 | 2 | yes | — |
| 166 | #14273650 | C23 | 1 | 4 | yes | — |
| 167 | #14273649 | C23 | 1 | 4 | yes | — |
| 168 | #14273647 | C23 | 1 | 2 | yes | — |
| 169 | #14273647 | C23 | 1 | 2 | yes | — |
| 170 | #14273647 | C23 | 1 | 4 | yes | — |
| 171 | C22⋊(C59⋊C8) | C23 | 1 | 2 | yes | — |
| 172 | (C2×D59)⋊C8 | C23 | 1 | 4 | yes | — |
| 173 | (C2×D59)⋊C8 | C23 | 1 | 4 | yes | — |
| 174 | C4×C59⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 175 | C4×C59⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 176 | C22×Q8×C59 | C23 | 1 | 1 | yes | characteristic |
| 177 | C2×Q16×C59 | C23 | 1 | 4 | yes | — |
| 178 | C4⋊Q8×C59 | C23 | 1 | 1 | yes | characteristic |
| 179 | C4⋊Q8×C59 | C23 | 1 | 1 | yes | characteristic |
| 180 | #125×C59 | — | 2 | 1 | no | — |
| 181 | C22⋊Q8×C59 | — | 2 | 1 | no | — |
| 182 | C22⋊Q8×C59 | C23 | 1 | 2 | yes | — |
| 183 | C4×Q8×C59 | — | 2 | 1 | no | — |
| 184 | C4×Q8×C59 | — | 2 | 1 | no | — |
| 185 | C4×Q8×C59 | — | 2 | 1 | no | — |
| 186 | C4×Q8×C59 | C23 | 1 | 2 | yes | — |
| 187 | C4×Q8×C59 | C23 | 1 | 2 | yes | — |
| 188 | C4×Q8×C59 | C23 | 1 | 2 | yes | — |
| 189 | #117×C59 | — | 2 | 1 | no | — |
| 190 | C2×C4⋊C4×C59 | — | 2 | 1 | no | — |
| 191 | C2×C4⋊C4×C59 | C23 | 1 | 1 | yes | characteristic |
| 192 | C2×C42×C59 | — | 2 | 1 | no | — |
| 193 | C2×C42×C59 | C23 | 1 | 1 | yes | characteristic |
| 194 | #106×C59 | C23 | 1 | 4 | yes | — |
| 195 | C4⋊C8×C59 | C23 | 1 | 2 | yes | — |
| 196 | #103×C59 | C23 | 1 | 4 | yes | — |
| 197 | #103×C59 | C23 | 1 | 4 | yes | — |
| 198 | C22⋊C8×C59 | C23 | 1 | 2 | yes | — |
| 199 | #97×C59 | C23 | 1 | 2 | yes | — |
| 200 | C2×Q8×C59 | — | 2 | 4 | no | — |
| 201 | C2×Q8×C59 | — | 2 | 1 | no | — |
| 202 | C2×Q8×C59 | — | 2 | 1 | no | — |
| 203 | C2×Q8×C59 | C24 | 1 | 2 | yes | — |
| 204 | C2×Q8×C59 | C24 | 1 | 2 | yes | — |
| 205 | C22×C4×C59 | — | 2 | 1 | no | — |
| 206 | C22×C4×C59 | — | 2 | 1 | no | — |
| 207 | C22×C4×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 208 | C22×C4×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 209 | C22×C4×C59 | C24 | 1 | 1 | yes | characteristic |
| 210 | C2×C22⋊D59 | — | 2 | 2 | no | — |
| 211 | C2×C22⋊D59 | — | 2 | 2 | no | — |
| 212 | C2×C22⋊D59 | C2×D4 | 1 | 4 | yes | — |
| 213 | #11745689 | — | 2 | 8 | no | — |
| 214 | #11745689 | — | 4 | 4 | no | — |
| 215 | #11745689 | — | 4 | 4 | no | — |
| 216 | #11745689 | — | 4 | 4 | no | — |
| 217 | #11745689 | — | 4 | 8 | no | — |
| 218 | #11745689 | — | 8 | 4 | no | — |
| 219 | Q8×D59 | — | 2 | 8 | no | — |
| 220 | Q8×D59 | — | 4 | 4 | no | — |
| 221 | Q8×D59 | — | 4 | 8 | no | — |
| 222 | #11745685 | — | 4 | 4 | no | — |
| 223 | #11745685 | — | 4 | 4 | no | — |
| 224 | #11745685 | — | 4 | 16 | no | — |
| 225 | #11745685 | — | 8 | 2 | no | — |
| 226 | C2×D236 | — | 2 | 4 | no | — |
| 227 | C2×D236 | — | 2 | 1 | no | — |
| 228 | C2×D236 | — | 2 | 1 | no | — |
| 229 | C2×D236 | — | 2 | 4 | no | — |
| 230 | C2×D236 | — | 2 | 4 | no | — |
| 231 | C2×D236 | — | 2 | 4 | no | — |
| 232 | C2×D236 | — | 2 | 1 | no | — |
| 233 | C2×D236 | — | 2 | 1 | no | — |
| 234 | C2×D236 | C2×D4 | 1 | 2 | yes | — |
| 235 | C2×D236 | C2×D4 | 1 | 2 | yes | — |
| 236 | C2×D236 | C2×D4 | 1 | 2 | yes | — |
| 237 | C2×D236 | C24 | 1 | 2 | yes | — |
| 238 | C2×D236 | C24 | 1 | 2 | yes | — |
| 239 | C2×C4×D59 | — | 2 | 4 | no | — |
| 240 | C2×C4×D59 | — | 2 | 2 | no | — |
| 241 | C2×C4×D59 | — | 2 | 2 | no | — |
| 242 | C2×C4×D59 | — | 2 | 4 | no | — |
| 243 | C2×C4×D59 | — | 2 | 4 | no | — |
| 244 | C2×C4×D59 | — | 2 | 4 | no | — |
| 245 | C2×C4×D59 | C24 | 1 | 4 | yes | — |
| 246 | C2×Dic118 | — | 2 | 4 | no | — |
| 247 | C2×Dic118 | — | 2 | 1 | no | — |
| 248 | C2×Dic118 | C2×D4 | 1 | 2 | yes | — |
| 249 | C2×Dic118 | C24 | 1 | 2 | yes | — |
| 250 | Q16×C59 | — | 2 | 8 | no | — |
| 251 | C2×C8×C59 | C24 | 1 | 4 | yes | — |
| 252 | C4⋊C4×C59 | — | 2 | 2 | no | — |
| 253 | C4⋊C4×C59 | — | 2 | 2 | no | — |
| 254 | C4⋊C4×C59 | — | 2 | 1 | no | — |
| 255 | C4⋊C4×C59 | — | 2 | 1 | no | — |
| 256 | C4⋊C4×C59 | — | 2 | 1 | no | — |
| 257 | C4⋊C4×C59 | — | 2 | 1 | no | — |
| 258 | C4⋊C4×C59 | — | 2 | 2 | no | — |
| 259 | C4⋊C4×C59 | — | 2 | 2 | no | — |
| 260 | C4⋊C4×C59 | C24 | 1 | 2 | yes | — |
| 261 | C4⋊C4×C59 | C24 | 1 | 2 | yes | — |
| 262 | C22⋊C4×C59 | — | 2 | 2 | no | — |
| 263 | C42×C59 | — | 2 | 2 | no | — |
| 264 | C42×C59 | — | 2 | 2 | no | — |
| 265 | C42×C59 | — | 2 | 2 | no | — |
| 266 | C42×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 267 | C42×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 268 | C42×C59 | C24 | 1 | 1 | yes | characteristic |
| 269 | C42×C59 | C24 | 1 | 1 | yes | characteristic |
| 270 | #11745672 | — | 4 | 4 | no | — |
| 271 | #11745671 | — | 2 | 4 | no | — |
| 272 | #11745671 | — | 2 | 4 | no | — |
| 273 | #11745671 | — | 4 | 4 | no | — |
| 274 | (C2×D59)⋊C4 | — | 2 | 4 | no | — |
| 275 | (C2×D59)⋊C4 | — | 2 | 4 | no | — |
| 276 | (C2×D59)⋊C4 | — | 2 | 2 | no | — |
| 277 | (C2×D59)⋊C4 | — | 2 | 2 | no | — |
| 278 | (C2×D59)⋊C4 | — | 2 | 2 | no | — |
| 279 | (C2×D59)⋊C4 | — | 2 | 2 | no | — |
| 280 | (C2×D59)⋊C4 | — | 2 | 4 | no | — |
| 281 | (C2×D59)⋊C4 | — | 2 | 4 | no | — |
| 282 | (C2×D59)⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 283 | (C2×D59)⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 284 | C4⋊Dic59 | — | 2 | 1 | no | — |
| 285 | C4⋊Dic59 | — | 2 | 1 | no | — |
| 286 | C4⋊Dic59 | — | 2 | 1 | no | — |
| 287 | C4⋊Dic59 | — | 2 | 4 | no | — |
| 288 | C4⋊Dic59 | C2×D4 | 1 | 2 | yes | — |
| 289 | C4⋊Dic59 | C2×D4 | 1 | 2 | yes | — |
| 290 | C4⋊Dic59 | C24 | 1 | 2 | yes | — |
| 291 | Dic59⋊C4 | — | 2 | 4 | no | — |
| 292 | Dic59⋊C4 | — | 2 | 4 | no | — |
| 293 | C2×C59⋊C8 | C24 | 1 | 2 | yes | — |
| 294 | C2×C59⋊C8 | C24 | 1 | 2 | yes | — |
| 295 | D472 | — | 4 | 4 | no | — |
| 296 | #11745660 | — | 4 | 4 | no | — |
| 297 | #11745659 | — | 4 | 4 | no | — |
| 298 | C8×D59 | — | 4 | 4 | no | — |
| 299 | C23×C59 | C22×D4 | 1 | 1 | yes | characteristic |
| 300 | C22×D59 | — | 2 | 2 | no | — |
| 301 | C22×D59 | — | 2 | 2 | no | — |
| 302 | C22×D59 | C22×D4 | 1 | 4 | yes | — |
| 303 | Q8×C59 | — | 2 | 4 | no | — |
| 304 | Q8×C59 | — | 2 | 2 | no | — |
| 305 | Q8×C59 | — | 2 | 4 | no | — |
| 306 | Q8×C59 | — | 4 | 2 | no | — |
| 307 | Q8×C59 | H(5,𝔽2) | 1 | 4 | yes | — |
| 308 | C2×C4×C59 | — | 2 | 4 | no | — |
| 309 | C2×C4×C59 | — | 2 | 2 | no | — |
| 310 | C2×C4×C59 | — | 2 | 2 | no | — |
| 311 | C2×C4×C59 | — | 2 | 2 | no | — |
| 312 | C2×C4×C59 | — | 2 | 2 | no | — |
| 313 | C2×C4×C59 | — | 2 | 2 | no | — |
| 314 | C2×C4×C59 | — | 2 | 2 | no | — |
| 315 | C2×C4×C59 | — | 4 | 1 | no | — |
| 316 | C2×C4×C59 | — | 8 | 1 | no | — |
| 317 | C2×C4×C59 | C22×D4 | 1 | 1 | yes | characteristic |
| 318 | C2×C4×C59 | C22×D4 | 1 | 1 | yes | characteristic |
| 319 | C2×C4×C59 | C22×D4 | 1 | 1 | yes | characteristic |
| 320 | C2×C4×C59 | C22×D4 | 1 | 1 | yes | characteristic |
| 321 | C2×C4×C59 | C22×D4 | 1 | 1 | yes | characteristic |
| 322 | C2×C4×C59 | C25 | 1 | 1 | yes | characteristic |
| 323 | C22⋊D59 | — | 4 | 4 | no | — |
| 324 | C22⋊D59 | — | 4 | 4 | no | — |
| 325 | C22⋊D59 | — | 8 | 2 | no | — |
| 326 | C2×Dic59 | — | 2 | 2 | no | — |
| 327 | C2×Dic59 | — | 2 | 2 | no | — |
| 328 | C2×Dic59 | C22×D4 | 1 | 4 | yes | — |
| 329 | D236 | — | 2 | 4 | no | — |
| 330 | D236 | — | 2 | 2 | no | — |
| 331 | D236 | — | 2 | 2 | no | — |
| 332 | D236 | — | 2 | 4 | no | — |
| 333 | D236 | — | 4 | 2 | no | — |
| 334 | D236 | — | 4 | 2 | no | — |
| 335 | D236 | — | 4 | 8 | no | — |
| 336 | D236 | — | 4 | 2 | no | — |
| 337 | D236 | — | 4 | 2 | no | — |
| 338 | D236 | — | 8 | 1 | no | — |
| 339 | D236 | — | 8 | 1 | no | — |
| 340 | D236 | — | 8 | 4 | no | — |
| 341 | D236 | — | 8 | 4 | no | — |
| 342 | D236 | — | 8 | 4 | no | — |
| 343 | C4×D59 | — | 2 | 4 | no | — |
| 344 | C4×D59 | — | 2 | 4 | no | — |
| 345 | C4×D59 | — | 4 | 8 | no | — |
| 346 | C4×D59 | — | 4 | 8 | no | — |
| 347 | C4×D59 | — | 4 | 4 | no | — |
| 348 | C4×D59 | — | 4 | 4 | no | — |
| 349 | C4×D59 | — | 8 | 4 | no | — |
| 350 | C4×D59 | — | 8 | 4 | no | — |
| 351 | Dic118 | — | 2 | 4 | no | — |
| 352 | Dic118 | — | 4 | 2 | no | — |
| 353 | Dic118 | — | 4 | 8 | no | — |
| 354 | Dic118 | — | 8 | 1 | no | — |
| 355 | C8×C59 | — | 2 | 4 | no | — |
| 356 | C59⋊C8 | — | 2 | 2 | no | — |
| 357 | C59⋊C8 | — | 2 | 2 | no | — |
| 358 | #61686 | — | 59 | 1 | no | maximal, Sylow |
| 359 | C22×C59 | — | 2 | 1 | no | — |
| 360 | C22×C59 | — | 2 | 1 | no | — |
| 361 | C22×C59 | — | 2 | 1 | no | — |
| 362 | C22×C59 | C23×D4 | 1 | 1 | yes | characteristic |
| 363 | C2×D59 | — | 2 | 4 | no | — |
| 364 | C2×D59 | — | 2 | 4 | no | — |
| 365 | C2×D59 | — | 2 | 4 | no | — |
| 366 | C2×D59 | — | 4 | 2 | no | — |
| 367 | C2×D59 | — | 4 | 2 | no | — |
| 368 | C2×D59 | — | 4 | 2 | no | — |
| 369 | C2×D59 | — | 4 | 2 | no | — |
| 370 | C2×D59 | — | 4 | 2 | no | — |
| 371 | C2×D59 | — | 4 | 2 | no | — |
| 372 | C4×C59 | — | 2 | 1 | no | — |
| 373 | C4×C59 | — | 2 | 1 | no | — |
| 374 | C4×C59 | — | 2 | 4 | no | — |
| 375 | C4×C59 | — | 2 | 1 | no | — |
| 376 | C4×C59 | — | 2 | 1 | no | — |
| 377 | C4×C59 | — | 4 | 2 | no | — |
| 378 | C4×C59 | — | 4 | 2 | no | — |
| 379 | C4×C59 | — | 4 | 2 | no | — |
| 380 | C4×C59 | #577 | 1 | 2 | yes | — |
| 381 | C4×C59 | C2×H(5,𝔽2) | 1 | 2 | yes | — |
| 382 | Dic59 | — | 2 | 4 | no | — |
| 383 | Dic59 | — | 4 | 2 | no | — |
| 384 | Dic59 | — | 4 | 2 | no | — |
| 385 | #3548 | — | 59 | 1 | no | — |
| 386 | #3497 | — | 59 | 1 | no | — |
| 387 | #3332 | — | 59 | 2 | no | — |
| 388 | #3316 | — | 59 | 4 | no | — |
| 389 | #3298 | — | 59 | 2 | no | — |
| 390 | #3284 | — | 59 | 2 | no | — |
| 391 | #3276 | — | 59 | 2 | no | — |
| 392 | #3271 | — | 59 | 4 | no | — |
| 393 | #3214 | — | 59 | 1 | no | — |
| 394 | #3210 | — | 59 | 1 | no | — |
| 395 | #3204 | — | 59 | 4 | no | — |
| 396 | #3113 | D59 | 1 | 1 | yes | characteristic, complemented |
| 397 | #3103 | — | 59 | 1 | no | — |
| 398 | #3013 | — | 59 | 4 | no | — |
| 399 | #2981 | — | 59 | 1 | no | — |
| 400 | C2×C59 | — | 4 | 1 | no | — |
| 401 | C2×C59 | #3484 | 1 | 1 | yes | characteristic |
| 402 | C2×C59 | C2×#577 | 1 | 1 | yes | characteristic |
| 403 | C2×C59 | #3586 | 1 | 1 | yes | characteristic |
| 404 | D59 | — | 4 | 4 | no | — |
| 405 | D59 | — | 8 | 2 | no | — |
| 406 | D59 | — | 8 | 2 | no | — |
| 407 | C2×2−1+4 | — | 59 | 2 | no | — |
| 408 | C2×#137 | — | 59 | 4 | no | — |
| 409 | C2×#135 | — | 59 | 4 | no | — |
| 410 | #562 | — | 118 | 2 | no | — |
| 411 | #554 | — | 59 | 2 | no | — |
| 412 | #554 | — | 118 | 1 | no | — |
| 413 | #550 | — | 59 | 2 | no | — |
| 414 | #550 | — | 59 | 2 | no | — |
| 415 | #550 | — | 118 | 1 | no | — |
| 416 | #550 | — | 118 | 1 | no | — |
| 417 | D4×Q8 | — | 59 | 2 | no | — |
| 418 | D4×Q8 | — | 118 | 1 | no | — |
| 419 | #548 | — | 59 | 4 | no | — |
| 420 | #548 | — | 118 | 2 | no | — |
| 421 | #547 | — | 59 | 2 | no | — |
| 422 | #547 | — | 59 | 2 | no | — |
| 423 | #540 | — | 118 | 2 | no | — |
| 424 | #537 | — | 59 | 4 | no | — |
| 425 | #537 | — | 59 | 2 | no | — |
| 426 | #537 | — | 118 | 2 | no | — |
| 427 | #537 | — | 118 | 2 | no | — |
| 428 | #533 | C2×D59 | 1 | 1 | yes | characteristic |
| 429 | #532 | — | 59 | 1 | no | — |
| 430 | #532 | — | 59 | 1 | no | — |
| 431 | #532 | — | 59 | 1 | no | — |
| 432 | #532 | — | 118 | 2 | no | — |
| 433 | C2×C4×Q8 | C2×D59 | 1 | 1 | yes | characteristic |
| 434 | #496 | — | 59 | 2 | no | — |
| 435 | #494 | — | 59 | 1 | no | — |
| 436 | #492 | — | 59 | 1 | no | — |
| 437 | #489 | — | 59 | 2 | no | — |
| 438 | #487 | — | 59 | 1 | no | — |
| 439 | #486 | — | 59 | 1 | no | — |
| 440 | #483 | — | 59 | 4 | no | — |
| 441 | #483 | C2×D59 | 1 | 2 | yes | — |
| 442 | #481 | — | 59 | 2 | no | — |
| 443 | #481 | — | 59 | 4 | no | — |
| 444 | #475 | — | 59 | 2 | no | — |
| 445 | #475 | C2×D59 | 1 | 2 | yes | — |
| 446 | #470 | — | 59 | 4 | no | — |
| 447 | #469 | — | 59 | 4 | no | — |
| 448 | #465 | — | 59 | 4 | no | — |
| 449 | #465 | — | 59 | 4 | no | — |
| 450 | #464 | — | 59 | 4 | no | — |
| 451 | #462 | C2×D59 | 1 | 2 | yes | — |
| 452 | #461 | — | 59 | 2 | no | — |
| 453 | #460 | — | 59 | 2 | no | — |
| 454 | #459 | — | 59 | 2 | no | — |
| 455 | #452 | — | 59 | 4 | no | — |
| 456 | #452 | — | 59 | 4 | no | — |
| 457 | #452 | — | 59 | 4 | no | — |
| 458 | #451 | — | 59 | 4 | no | — |
| 459 | #451 | C2×D59 | 1 | 2 | yes | — |
| 460 | #449 | — | 59 | 4 | no | — |
| 461 | #449 | — | 59 | 4 | no | — |
| 462 | #449 | — | 59 | 4 | no | — |
| 463 | #448 | — | 59 | 2 | no | — |
| 464 | #448 | — | 59 | 4 | no | — |
| 465 | #441 | C2×D59 | 1 | 4 | yes | — |
| 466 | C4×SD16 | — | 59 | 2 | no | — |
| 467 | C4×SD16 | — | 59 | 2 | no | — |
| 468 | #436 | — | 59 | 2 | no | — |
| 469 | #435 | — | 59 | 4 | no | — |
| 470 | C8×D4 | — | 59 | 2 | no | — |
| 471 | #432 | C2×D59 | 1 | 1 | yes | characteristic |
| 472 | #431 | — | 59 | 1 | no | — |
| 473 | #417 | — | 59 | 4 | no | — |
| 474 | C2×#103 | — | 59 | 4 | no | — |
| 475 | #408 | — | 59 | 4 | no | — |
| 476 | C59 | #61686 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 477 | 2−1+4 | — | 236 | 8 | no | — |
| 478 | C2×#41 | — | 59 | 2 | no | — |
| 479 | C2×#41 | — | 59 | 4 | no | — |
| 480 | C2×#41 | — | 59 | 4 | no | — |
| 481 | C2×#41 | — | 59 | 2 | no | — |
| 482 | C2×#41 | — | 118 | 4 | no | — |
| 483 | C2×#41 | — | 118 | 2 | no | — |
| 484 | C2×#41 | — | 118 | 2 | no | — |
| 485 | C2×#41 | — | 118 | 1 | no | — |
| 486 | C22×Q8 | — | 59 | 4 | no | — |
| 487 | C22×Q8 | — | 118 | 2 | no | — |
| 488 | C22×Q8 | C22×D59 | 1 | 1 | yes | characteristic |
| 489 | #137 | — | 236 | 8 | no | — |
| 490 | #135 | — | 236 | 8 | no | — |
| 491 | C2×Q16 | — | 59 | 4 | no | — |
| 492 | C2×Q16 | C22×D59 | 1 | 4 | yes | — |
| 493 | C2×SD16 | — | 59 | 2 | no | — |
| 494 | C2×SD16 | — | 59 | 2 | no | — |
| 495 | C2×SD16 | — | 59 | 4 | no | — |
| 496 | C2×SD16 | — | 59 | 4 | no | — |
| 497 | C2×D8 | — | 59 | 4 | no | — |
| 498 | C2×M16 | — | 59 | 4 | no | — |
| 499 | C22×C8 | — | 59 | 4 | no | — |
| 500 | C4⋊Q8 | — | 59 | 1 | no | — |
| 501 | C4⋊Q8 | — | 59 | 1 | no | — |
| 502 | C4⋊Q8 | — | 59 | 1 | no | — |
| 503 | C4⋊Q8 | — | 118 | 2 | no | — |
| 504 | C4⋊Q8 | C22×D59 | 1 | 1 | yes | characteristic |
| 505 | C4⋊Q8 | C22×D59 | 1 | 1 | yes | characteristic |
| 506 | #127 | — | 59 | 1 | no | — |
| 507 | #127 | — | 59 | 1 | no | — |
| 508 | #127 | — | 59 | 1 | no | — |
| 509 | #127 | — | 118 | 2 | no | — |
| 510 | #127 | — | 118 | 2 | no | — |
| 511 | #125 | — | 2 | 1 | no | — |
| 512 | #125 | — | 118 | 2 | no | — |
| 513 | #124 | — | 59 | 2 | no | — |
| 514 | #124 | — | 59 | 2 | no | — |
| 515 | #124 | — | 118 | 4 | no | — |
| 516 | #124 | — | 118 | 1 | no | — |
| 517 | #123 | — | 118 | 4 | no | — |
| 518 | #123 | — | 118 | 4 | no | — |
| 519 | C22⋊Q8 | — | 2 | 1 | no | — |
| 520 | C22⋊Q8 | — | 59 | 4 | no | — |
| 521 | C22⋊Q8 | — | 59 | 4 | no | — |
| 522 | C22⋊Q8 | — | 118 | 4 | no | — |
| 523 | C22⋊Q8 | — | 118 | 4 | no | — |
| 524 | C22⋊Q8 | — | 118 | 4 | no | — |
| 525 | C22⋊Q8 | — | 118 | 2 | no | — |
| 526 | C22⋊Q8 | — | 118 | 4 | no | — |
| 527 | C22⋊Q8 | — | 118 | 2 | no | — |
| 528 | C22⋊Q8 | C22×D59 | 1 | 2 | yes | — |
| 529 | #121 | — | 59 | 2 | no | — |
| 530 | #121 | — | 59 | 2 | no | — |
| 531 | #121 | — | 59 | 2 | no | — |
| 532 | #121 | — | 59 | 4 | no | — |
| 533 | #121 | — | 59 | 4 | no | — |
| 534 | #121 | — | 118 | 4 | no | — |
| 535 | #121 | — | 118 | 4 | no | — |
| 536 | #121 | — | 118 | 4 | no | — |
| 537 | #121 | — | 118 | 4 | no | — |
| 538 | #121 | — | 118 | 2 | no | — |
| 539 | #121 | — | 118 | 4 | no | — |
| 540 | #121 | — | 118 | 2 | no | — |
| 541 | #121 | — | 118 | 4 | no | — |
| 542 | #121 | — | 118 | 4 | no | — |
| 543 | #121 | — | 118 | 1 | no | — |
| 544 | #121 | — | 118 | 1 | no | — |
| 545 | #121 | — | 118 | 1 | no | — |
| 546 | C4×Q8 | — | 2 | 1 | no | — |
| 547 | C4×Q8 | — | 2 | 1 | no | — |
| 548 | C4×Q8 | — | 2 | 1 | no | — |
| 549 | C4×Q8 | C22×D59 | 1 | 2 | yes | — |
| 550 | C4×Q8 | C22×D59 | 1 | 2 | yes | — |
| 551 | C4×Q8 | C22×D59 | 1 | 2 | yes | — |
| 552 | C4×D4 | — | 59 | 2 | no | — |
| 553 | C4×D4 | — | 59 | 2 | no | — |
| 554 | C4×D4 | — | 59 | 2 | no | — |
| 555 | C4×D4 | — | 118 | 4 | no | — |
| 556 | C4×D4 | — | 118 | 2 | no | — |
| 557 | C4×D4 | — | 118 | 2 | no | — |
| 558 | C4×D4 | — | 118 | 2 | no | — |
| 559 | C4×D4 | — | 118 | 2 | no | — |
| 560 | C4×D4 | — | 118 | 1 | no | — |
| 561 | C4×D4 | — | 118 | 1 | no | — |
| 562 | C4×D4 | — | 118 | 1 | no | — |
| 563 | #117 | — | 2 | 1 | no | — |
| 564 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 565 | C2×C4⋊C4 | — | 59 | 4 | no | — |
| 566 | C2×C4⋊C4 | — | 118 | 2 | no | — |
| 567 | C2×C4⋊C4 | C22×D59 | 1 | 1 | yes | characteristic |
| 568 | C2×C42 | — | 2 | 1 | no | — |
| 569 | C2×C42 | C22×D59 | 1 | 1 | yes | characteristic |
| 570 | #106 | — | 59 | 2 | no | — |
| 571 | #106 | — | 59 | 2 | no | — |
| 572 | #106 | C22×D59 | 1 | 4 | yes | — |
| 573 | C4⋊C8 | — | 59 | 2 | no | — |
| 574 | C4⋊C8 | C22×D59 | 1 | 2 | yes | — |
| 575 | #103 | — | 59 | 2 | no | — |
| 576 | #103 | — | 59 | 2 | no | — |
| 577 | #103 | — | 59 | 4 | no | — |
| 578 | #103 | — | 59 | 4 | no | — |
| 579 | #103 | C22×D59 | 1 | 4 | yes | — |
| 580 | #103 | C22×D59 | 1 | 4 | yes | — |
| 581 | #102 | — | 59 | 4 | no | — |
| 582 | #102 | — | 59 | 4 | no | — |
| 583 | #102 | — | 59 | 2 | no | — |
| 584 | #102 | — | 59 | 2 | no | — |
| 585 | C22⋊C8 | — | 59 | 2 | no | — |
| 586 | C22⋊C8 | — | 59 | 4 | no | — |
| 587 | C22⋊C8 | — | 59 | 4 | no | — |
| 588 | C22⋊C8 | C22×D59 | 1 | 2 | yes | — |
| 589 | #97 | C22×D59 | 1 | 2 | yes | — |
| 590 | C4×C8 | — | 59 | 1 | no | — |
| 591 | C4×C8 | — | 59 | 1 | no | — |
| 592 | #41 | — | 118 | 8 | no | — |
| 593 | #41 | — | 472 | 2 | no | — |
| 594 | #41 | — | 472 | 4 | no | — |
| 595 | #41 | — | 236 | 4 | no | — |
| 596 | #41 | — | 236 | 4 | no | — |
| 597 | #41 | — | 236 | 16 | no | — |
| 598 | #41 | — | 236 | 4 | no | — |
| 599 | #41 | — | 236 | 4 | no | — |
| 600 | #41 | — | 236 | 4 | no | — |
| 601 | #41 | — | 236 | 8 | no | — |
| 602 | C2×Q8 | — | 2 | 4 | no | — |
| 603 | C2×Q8 | — | 2 | 1 | no | — |
| 604 | C2×Q8 | — | 2 | 1 | no | — |
| 605 | C2×Q8 | — | 59 | 2 | no | — |
| 606 | C2×Q8 | — | 59 | 2 | no | — |
| 607 | C2×Q8 | — | 118 | 4 | no | — |
| 608 | C2×Q8 | — | 118 | 1 | no | — |
| 609 | C2×Q8 | — | 118 | 8 | no | — |
| 610 | C2×Q8 | — | 236 | 4 | no | — |
| 611 | C2×Q8 | — | 236 | 8 | no | — |
| 612 | C2×Q8 | C23×D59 | 1 | 2 | yes | — |
| 613 | C2×Q8 | C23×D59 | 1 | 2 | yes | — |
| 614 | C2×D4 | — | 59 | 4 | no | — |
| 615 | C2×D4 | — | 59 | 2 | no | — |
| 616 | C2×D4 | — | 59 | 2 | no | — |
| 617 | C2×D4 | — | 59 | 2 | no | — |
| 618 | C2×D4 | — | 59 | 2 | no | — |
| 619 | C2×D4 | — | 59 | 2 | no | — |
| 620 | C2×D4 | — | 118 | 4 | no | — |
| 621 | C2×D4 | — | 118 | 4 | no | — |
| 622 | C2×D4 | — | 118 | 4 | no | — |
| 623 | C2×D4 | — | 118 | 4 | no | — |
| 624 | C2×D4 | — | 118 | 2 | no | — |
| 625 | C2×D4 | — | 118 | 2 | no | — |
| 626 | C2×D4 | — | 118 | 1 | no | — |
| 627 | C2×D4 | — | 118 | 1 | no | — |
| 628 | C2×D4 | — | 118 | 1 | no | — |
| 629 | C2×D4 | — | 118 | 1 | no | — |
| 630 | C22×C4 | — | 2 | 1 | no | — |
| 631 | C22×C4 | — | 2 | 1 | no | — |
| 632 | C22×C4 | — | 59 | 4 | no | — |
| 633 | C22×C4 | — | 118 | 4 | no | — |
| 634 | C22×C4 | — | 118 | 4 | no | — |
| 635 | C22×C4 | — | 118 | 4 | no | — |
| 636 | C22×C4 | — | 118 | 4 | no | — |
| 637 | C22×C4 | — | 118 | 2 | no | — |
| 638 | C22×C4 | — | 118 | 2 | no | — |
| 639 | C22×C4 | D4×D59 | 1 | 1 | yes | characteristic |
| 640 | C22×C4 | D4×D59 | 1 | 1 | yes | characteristic |
| 641 | C22×C4 | C23×D59 | 1 | 1 | yes | characteristic |
| 642 | Q16 | — | 2 | 8 | no | — |
| 643 | Q16 | — | 236 | 4 | no | — |
| 644 | SD16 | — | 118 | 4 | no | — |
| 645 | SD16 | — | 118 | 4 | no | — |
| 646 | SD16 | — | 236 | 4 | no | — |
| 647 | SD16 | — | 236 | 4 | no | — |
| 648 | D8 | — | 236 | 4 | no | — |
| 649 | M16 | — | 236 | 4 | no | — |
| 650 | C2×C8 | — | 59 | 2 | no | — |
| 651 | C2×C8 | — | 59 | 2 | no | — |
| 652 | C2×C8 | — | 236 | 4 | no | — |
| 653 | C2×C8 | C23×D59 | 1 | 4 | yes | — |
| 654 | C4⋊C4 | — | 2 | 2 | no | — |
| 655 | C4⋊C4 | — | 2 | 2 | no | — |
| 656 | C4⋊C4 | — | 2 | 1 | no | — |
| 657 | C4⋊C4 | — | 2 | 1 | no | — |
| 658 | C4⋊C4 | — | 2 | 1 | no | — |
| 659 | C4⋊C4 | — | 2 | 1 | no | — |
| 660 | C4⋊C4 | — | 2 | 2 | no | — |
| 661 | C4⋊C4 | — | 2 | 2 | no | — |
| 662 | C4⋊C4 | — | 59 | 2 | no | — |
| 663 | C4⋊C4 | — | 59 | 2 | no | — |
| 664 | C4⋊C4 | — | 59 | 2 | no | — |
| 665 | C4⋊C4 | — | 118 | 4 | no | — |
| 666 | C4⋊C4 | — | 118 | 4 | no | — |
| 667 | C4⋊C4 | — | 118 | 4 | no | — |
| 668 | C4⋊C4 | — | 118 | 1 | no | — |
| 669 | C4⋊C4 | — | 118 | 1 | no | — |
| 670 | C4⋊C4 | — | 118 | 1 | no | — |
| 671 | C4⋊C4 | C23×D59 | 1 | 2 | yes | — |
| 672 | C4⋊C4 | C23×D59 | 1 | 2 | yes | — |
| 673 | C22⋊C4 | — | 2 | 2 | no | — |
| 674 | C22⋊C4 | — | 59 | 4 | no | — |
| 675 | C22⋊C4 | — | 59 | 4 | no | — |
| 676 | C22⋊C4 | — | 118 | 4 | no | — |
| 677 | C22⋊C4 | — | 118 | 4 | no | — |
| 678 | C22⋊C4 | — | 118 | 4 | no | — |
| 679 | C22⋊C4 | — | 118 | 4 | no | — |
| 680 | C22⋊C4 | — | 118 | 2 | no | — |
| 681 | C22⋊C4 | — | 118 | 2 | no | — |
| 682 | C22⋊C4 | — | 118 | 2 | no | — |
| 683 | C22⋊C4 | — | 118 | 2 | no | — |
| 684 | C42 | — | 2 | 2 | no | — |
| 685 | C42 | — | 2 | 2 | no | — |
| 686 | C42 | — | 2 | 2 | no | — |
| 687 | C42 | D4×D59 | 1 | 1 | yes | characteristic |
| 688 | C42 | D4×D59 | 1 | 1 | yes | characteristic |
| 689 | C42 | C23×D59 | 1 | 1 | yes | characteristic |
| 690 | C42 | C23×D59 | 1 | 1 | yes | characteristic |
| 691 | C23 | — | 59 | 4 | no | — |
| 692 | C23 | — | 118 | 2 | no | — |
| 693 | C23 | — | 118 | 2 | no | — |
| 694 | C23 | C2×D4×D59 | 1 | 1 | yes | characteristic |
| 695 | Q8 | — | 2 | 4 | no | — |
| 696 | Q8 | — | 2 | 2 | no | — |
| 697 | Q8 | — | 2 | 4 | no | — |
| 698 | Q8 | — | 4 | 2 | no | — |
| 699 | Q8 | — | 118 | 4 | no | — |
| 700 | Q8 | — | 472 | 1 | no | — |
| 701 | Q8 | — | 236 | 2 | no | — |
| 702 | Q8 | — | 236 | 8 | no | — |
| 703 | Q8 | #14273773 | 1 | 4 | yes | — |
| 704 | D4 | — | 118 | 4 | no | — |
| 705 | D4 | — | 118 | 2 | no | — |
| 706 | D4 | — | 118 | 4 | no | — |
| 707 | D4 | — | 118 | 2 | no | — |
| 708 | D4 | — | 472 | 1 | no | — |
| 709 | D4 | — | 472 | 1 | no | — |
| 710 | D4 | — | 472 | 4 | no | — |
| 711 | D4 | — | 472 | 4 | no | — |
| 712 | D4 | — | 472 | 4 | no | — |
| 713 | D4 | — | 472 | 2 | no | — |
| 714 | D4 | — | 236 | 2 | no | — |
| 715 | D4 | — | 236 | 2 | no | — |
| 716 | D4 | — | 236 | 8 | no | — |
| 717 | D4 | — | 236 | 2 | no | — |
| 718 | D4 | — | 236 | 4 | no | — |
| 719 | D4 | — | 236 | 4 | no | — |
| 720 | D4 | — | 236 | 2 | no | — |
| 721 | C2×C4 | — | 2 | 4 | no | — |
| 722 | C2×C4 | — | 2 | 2 | no | — |
| 723 | C2×C4 | — | 2 | 2 | no | — |
| 724 | C2×C4 | — | 2 | 2 | no | — |
| 725 | C2×C4 | — | 2 | 2 | no | — |
| 726 | C2×C4 | — | 2 | 2 | no | — |
| 727 | C2×C4 | — | 2 | 2 | no | — |
| 728 | C2×C4 | — | 4 | 1 | no | — |
| 729 | C2×C4 | — | 8 | 1 | no | — |
| 730 | C2×C4 | — | 59 | 4 | no | — |
| 731 | C2×C4 | — | 118 | 4 | no | — |
| 732 | C2×C4 | — | 118 | 4 | no | — |
| 733 | C2×C4 | — | 118 | 2 | no | — |
| 734 | C2×C4 | — | 118 | 2 | no | — |
| 735 | C2×C4 | — | 472 | 4 | no | — |
| 736 | C2×C4 | — | 472 | 4 | no | — |
| 737 | C2×C4 | — | 236 | 8 | no | — |
| 738 | C2×C4 | — | 236 | 8 | no | — |
| 739 | C2×C4 | — | 236 | 4 | no | — |
| 740 | C2×C4 | — | 236 | 4 | no | — |
| 741 | C2×C4 | C2×D4×D59 | 1 | 1 | yes | characteristic |
| 742 | C2×C4 | C2×D4×D59 | 1 | 1 | yes | characteristic |
| 743 | C2×C4 | C2×D4×D59 | 1 | 1 | yes | characteristic |
| 744 | C2×C4 | C2×D4×D59 | 1 | 1 | yes | characteristic |
| 745 | C2×C4 | C2×D4×D59 | 1 | 1 | yes | characteristic |
| 746 | C2×C4 | C24×D59 | 1 | 1 | yes | characteristic |
| 747 | C8 | — | 2 | 4 | no | — |
| 748 | C8 | — | 118 | 2 | no | — |
| 749 | C8 | — | 118 | 2 | no | — |
| 750 | C22 | — | 2 | 1 | no | — |
| 751 | C22 | — | 2 | 1 | no | — |
| 752 | C22 | — | 2 | 1 | no | — |
| 753 | C22 | — | 118 | 4 | no | — |
| 754 | C22 | — | 118 | 4 | no | — |
| 755 | C22 | — | 118 | 4 | no | — |
| 756 | C22 | — | 236 | 2 | no | — |
| 757 | C22 | — | 236 | 2 | no | — |
| 758 | C22 | — | 236 | 2 | no | — |
| 759 | C22 | — | 236 | 2 | no | — |
| 760 | C22 | — | 236 | 2 | no | — |
| 761 | C22 | — | 236 | 2 | no | — |
| 762 | C22 | C22×D4×D59 | 1 | 1 | yes | characteristic |
| 763 | C4 | — | 2 | 4 | no | — |
| 764 | C4 | — | 2 | 1 | no | — |
| 765 | C4 | — | 2 | 1 | no | — |
| 766 | C4 | — | 2 | 1 | no | — |
| 767 | C4 | — | 2 | 1 | no | — |
| 768 | C4 | — | 4 | 2 | no | — |
| 769 | C4 | — | 4 | 2 | no | — |
| 770 | C4 | — | 4 | 2 | no | — |
| 771 | C4 | — | 118 | 4 | no | — |
| 772 | C4 | — | 236 | 2 | no | — |
| 773 | C4 | — | 236 | 2 | no | — |
| 774 | C4 | #16838211 | 1 | 2 | yes | — |
| 775 | C4 | C2×#14273773 | 1 | 2 | yes | — |
| 776 | C2 | — | 4 | 1 | no | — |
| 777 | C2 | — | 472 | 2 | no | — |
| 778 | C2 | — | 472 | 2 | no | — |
| 779 | C2 | — | 236 | 4 | no | — |
| 780 | C2 | #21437729 | 1 | 1 | yes | characteristic |
| 781 | C2 | C2×#16838211 | 1 | 1 | yes | characteristic |
| 782 | C2 | #21438879 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #21438496 | C2 | semidirect |
| 2. #21437867 | C2 | semidirect |
| 3. #21436420 | C2 | semidirect |
| 4. #21436212 | C2 | semidirect |
| 5. #21435958 | C2 | semidirect |
| 6. #21435821 | C2 | semidirect |
| 7. #21435737 | C2 | semidirect |
| 8. #21435683 | C2 | semidirect |
| 9. #21435093 | C2 | semidirect |
| 10. #21435048 | C2 | semidirect |
| 11. #21435006 | C2 | semidirect |
| 12. #21434127 | C2 | semidirect |
| 13. #21433412 | C2 | semidirect |
| 14. #21433174 | C2 | semidirect |
| 15. C59×#3113 | C2 | semidirect |
| 396. #3113 | D59 | semidirect |
| 476. C59 | #61686 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21438496 | 2 |
| #21437867 | 2 |
| #21436420 | 2 |
| #21436212 | 2 |
| #21435958 | 2 |
| #21435821 | 2 |
| #21435737 | 2 |
| #21435683 | 2 |
| #21435093 | 2 |
| #21435048 | 2 |
| #21435006 | 2 |
| #21434127 | 2 |
| #21433412 | 2 |
| #21433174 | 2 |
| C59×#3113 | 2 |
| #61686 | 59 |