Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
908 conjugacy classes of subgroups.
The subgroup lattice has 868 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #21460215 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #21457028 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #21456831 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #21456161 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #21445141 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #21445141 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #21445140 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #21445139 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #21445138 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #21445137 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #21445136 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #21444452 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #21444432 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #21444428 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C61×#1662 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #16840510 | C22 | 1 | 1 | yes | characteristic |
| 17 | #16840506 | C22 | 1 | 1 | yes | characteristic |
| 18 | #16840506 | C22 | 1 | 1 | yes | characteristic |
| 19 | #16840466 | — | 2 | 1 | no | — |
| 20 | #16840466 | — | 2 | 1 | no | — |
| 21 | #16840430 | — | 2 | 1 | no | — |
| 22 | #16840430 | — | 2 | 1 | no | — |
| 23 | #16840410 | — | 2 | 1 | no | — |
| 24 | #16840410 | — | 2 | 1 | no | — |
| 25 | #16840364 | — | 2 | 1 | no | — |
| 26 | #16840364 | — | 2 | 1 | no | — |
| 27 | #16840342 | — | 2 | 1 | no | — |
| 28 | #16840342 | — | 2 | 1 | no | — |
| 29 | #16840339 | — | 2 | 1 | no | — |
| 30 | #16840339 | — | 2 | 1 | no | — |
| 31 | #16840318 | C22 | 1 | 1 | yes | characteristic |
| 32 | #16840317 | C22 | 1 | 1 | yes | characteristic |
| 33 | #16840311 | C22 | 1 | 1 | yes | characteristic |
| 34 | #16840311 | C22 | 1 | 1 | yes | characteristic |
| 35 | #16840172 | C22 | 1 | 1 | yes | characteristic |
| 36 | #16840171 | C22 | 1 | 1 | yes | characteristic |
| 37 | #16840157 | C22 | 1 | 1 | yes | characteristic |
| 38 | #16840156 | C22 | 1 | 1 | yes | characteristic |
| 39 | #16840130 | C22 | 1 | 1 | yes | characteristic |
| 40 | #16840129 | — | 2 | 1 | no | — |
| 41 | #16840125 | — | 2 | 1 | no | — |
| 42 | #16840124 | C22 | 1 | 1 | yes | characteristic |
| 43 | #16840124 | C22 | 1 | 1 | yes | characteristic |
| 44 | #16840122 | C22 | 1 | 1 | yes | characteristic |
| 45 | #16840121 | C22 | 1 | 1 | yes | characteristic |
| 46 | #16840102 | — | 2 | 1 | no | — |
| 47 | #16840101 | — | 2 | 1 | no | — |
| 48 | #16840055 | — | 2 | 1 | no | — |
| 49 | #16840045 | — | 2 | 1 | no | — |
| 50 | #16839971 | — | 2 | 1 | no | — |
| 51 | #16839961 | — | 2 | 1 | no | — |
| 52 | #16839927 | — | 2 | 1 | no | — |
| 53 | #16839925 | — | 2 | 1 | no | — |
| 54 | #16839817 | C22 | 1 | 1 | yes | characteristic |
| 55 | #16839817 | C22 | 1 | 1 | yes | characteristic |
| 56 | #16839757 | — | 2 | 1 | no | — |
| 57 | #16839755 | — | 2 | 1 | no | — |
| 58 | #97×D61 | C22 | 1 | 1 | yes | characteristic |
| 59 | #16839504 | C22 | 1 | 1 | yes | characteristic |
| 60 | #16839503 | C22 | 1 | 1 | yes | characteristic |
| 61 | #16839503 | C22 | 1 | 1 | yes | characteristic |
| 62 | #16839502 | C22 | 1 | 1 | yes | characteristic |
| 63 | #16839502 | C22 | 1 | 1 | yes | characteristic |
| 64 | #16839501 | C22 | 1 | 1 | yes | characteristic |
| 65 | #16839501 | C22 | 1 | 1 | yes | characteristic |
| 66 | #16839501 | C22 | 1 | 1 | yes | characteristic |
| 67 | #16839501 | C22 | 1 | 1 | yes | characteristic |
| 68 | C61×#562 | C22 | 1 | 1 | yes | characteristic |
| 69 | C61×#491 | C22 | 1 | 1 | yes | characteristic |
| 70 | C61×#489 | C22 | 1 | 1 | yes | characteristic |
| 71 | C61×#489 | C22 | 1 | 1 | yes | characteristic |
| 72 | C61×#330 | C22 | 1 | 1 | yes | characteristic |
| 73 | C61×#329 | C22 | 1 | 1 | yes | characteristic |
| 74 | C61×#329 | C22 | 1 | 1 | yes | characteristic |
| 75 | C2×#11758226 | D4 | 1 | 1 | yes | characteristic |
| 76 | C2×#11758226 | D4 | 1 | 1 | yes | characteristic |
| 77 | C2×#11758222 | — | 2 | 1 | no | — |
| 78 | C2×#11758222 | — | 2 | 1 | no | — |
| 79 | C2×#11758224 | — | 2 | 1 | no | — |
| 80 | C2×#11758224 | — | 2 | 1 | no | — |
| 81 | C2×#11758224 | D4 | 1 | 1 | yes | characteristic |
| 82 | C2×#11758224 | D4 | 1 | 1 | yes | characteristic |
| 83 | C2×Dic244 | — | 2 | 1 | no | — |
| 84 | C2×#11758202 | — | 2 | 1 | no | — |
| 85 | C2×#11758190 | — | 2 | 1 | no | — |
| 86 | C2×#11758200 | — | 2 | 1 | no | — |
| 87 | C2×C8×D61 | — | 2 | 1 | no | — |
| 88 | #14519777 | C23 | 1 | 1 | yes | characteristic |
| 89 | #14519776 | D4 | 1 | 1 | yes | characteristic |
| 90 | #14519776 | D4 | 1 | 1 | yes | characteristic |
| 91 | #14519775 | D4 | 1 | 1 | yes | characteristic |
| 92 | #14519775 | D4 | 1 | 1 | yes | characteristic |
| 93 | #14519773 | — | 2 | 1 | no | — |
| 94 | #14519773 | — | 2 | 1 | no | — |
| 95 | #14519773 | D4 | 1 | 1 | yes | characteristic |
| 96 | #14519773 | D4 | 1 | 1 | yes | characteristic |
| 97 | #14519769 | C23 | 1 | 1 | yes | characteristic |
| 98 | #14519768 | — | 2 | 1 | no | — |
| 99 | #14519767 | — | 2 | 1 | no | — |
| 100 | #14519767 | — | 2 | 1 | no | — |
| 101 | #14519765 | C23 | 1 | 1 | yes | characteristic |
| 102 | #14519765 | C23 | 1 | 1 | yes | characteristic |
| 103 | #14519762 | — | 2 | 1 | no | — |
| 104 | #14519762 | — | 2 | 1 | no | — |
| 105 | #14519761 | — | 2 | 1 | no | — |
| 106 | #14519761 | — | 2 | 1 | no | — |
| 107 | #14519759 | — | 2 | 1 | no | — |
| 108 | #14519759 | — | 2 | 1 | no | — |
| 109 | #14519757 | — | 2 | 1 | no | — |
| 110 | #14519755 | — | 2 | 1 | no | — |
| 111 | #14519755 | — | 2 | 1 | no | — |
| 112 | #14519755 | — | 2 | 1 | no | — |
| 113 | #14519755 | — | 2 | 1 | no | — |
| 114 | #14519755 | — | 2 | 1 | no | — |
| 115 | #14519755 | — | 2 | 1 | no | — |
| 116 | #14519754 | — | 2 | 1 | no | — |
| 117 | #14519754 | — | 2 | 1 | no | — |
| 118 | #14519754 | — | 2 | 1 | no | — |
| 119 | #14519754 | — | 2 | 1 | no | — |
| 120 | #14519753 | — | 2 | 1 | no | — |
| 121 | #14519753 | — | 2 | 1 | no | — |
| 122 | #14519753 | — | 2 | 1 | no | — |
| 123 | #14519752 | — | 2 | 1 | no | — |
| 124 | #14519752 | — | 2 | 1 | no | — |
| 125 | #14519752 | — | 2 | 1 | no | — |
| 126 | #14519752 | — | 2 | 1 | no | — |
| 127 | #14519751 | — | 2 | 1 | no | — |
| 128 | #14519751 | — | 2 | 1 | no | — |
| 129 | #14519750 | — | 2 | 1 | no | — |
| 130 | #14519750 | — | 2 | 1 | no | — |
| 131 | #14519750 | — | 2 | 1 | no | — |
| 132 | #14519750 | — | 2 | 1 | no | — |
| 133 | #14519750 | — | 2 | 1 | no | — |
| 134 | #14519750 | — | 2 | 1 | no | — |
| 135 | #14519750 | — | 2 | 1 | no | — |
| 136 | #14519750 | — | 2 | 1 | no | — |
| 137 | #14519750 | — | 2 | 1 | no | — |
| 138 | #14519750 | — | 2 | 1 | no | — |
| 139 | #14519749 | — | 2 | 1 | no | — |
| 140 | #14519749 | — | 2 | 1 | no | — |
| 141 | #14519749 | — | 2 | 1 | no | — |
| 142 | #14519749 | — | 2 | 1 | no | — |
| 143 | #14519749 | — | 2 | 1 | no | — |
| 144 | #14519749 | — | 2 | 1 | no | — |
| 145 | Q8×Dic61 | — | 2 | 1 | no | — |
| 146 | #14519742 | — | 2 | 1 | no | — |
| 147 | #14519742 | — | 2 | 1 | no | — |
| 148 | #14519742 | — | 2 | 1 | no | — |
| 149 | C4×C22⋊D61 | — | 2 | 1 | no | — |
| 150 | C4×C22⋊D61 | — | 2 | 1 | no | — |
| 151 | #14519737 | — | 2 | 1 | no | — |
| 152 | #14519737 | — | 2 | 1 | no | — |
| 153 | #14519737 | — | 2 | 1 | no | — |
| 154 | #14519737 | — | 2 | 1 | no | — |
| 155 | #14519737 | — | 2 | 1 | no | — |
| 156 | #14519737 | — | 2 | 1 | no | — |
| 157 | #14519735 | — | 2 | 1 | no | — |
| 158 | #14519735 | D4 | 1 | 1 | yes | characteristic |
| 159 | #14519735 | D4 | 1 | 1 | yes | characteristic |
| 160 | C2×#11758196 | — | 2 | 1 | no | — |
| 161 | C2×#11758196 | — | 2 | 1 | no | — |
| 162 | C4⋊C4×D61 | — | 2 | 1 | no | — |
| 163 | C4⋊C4×D61 | — | 2 | 1 | no | — |
| 164 | C42×D61 | C23 | 1 | 1 | yes | characteristic |
| 165 | #14519711 | — | 2 | 1 | no | — |
| 166 | #14519710 | — | 2 | 1 | no | — |
| 167 | #14519709 | — | 2 | 1 | no | — |
| 168 | #14519708 | — | 2 | 1 | no | — |
| 169 | #14519706 | — | 2 | 1 | no | — |
| 170 | #14519706 | — | 2 | 1 | no | — |
| 171 | #14519702 | — | 2 | 1 | no | — |
| 172 | #14519701 | — | 2 | 1 | no | — |
| 173 | #14519701 | — | 2 | 1 | no | — |
| 174 | #14519701 | — | 2 | 1 | no | — |
| 175 | #14519700 | — | 2 | 1 | no | — |
| 176 | #14519700 | — | 2 | 1 | no | — |
| 177 | #14519699 | — | 2 | 1 | no | — |
| 178 | #14519698 | — | 2 | 1 | no | — |
| 179 | #14519697 | — | 2 | 1 | no | — |
| 180 | #14519697 | — | 2 | 1 | no | — |
| 181 | #14519689 | — | 2 | 1 | no | — |
| 182 | #14519689 | — | 2 | 1 | no | — |
| 183 | #14519688 | C23 | 1 | 1 | yes | characteristic |
| 184 | #14519688 | C23 | 1 | 1 | yes | characteristic |
| 185 | #14519688 | C23 | 1 | 1 | yes | characteristic |
| 186 | #14519687 | — | 2 | 1 | no | — |
| 187 | C4⋊Q8×C61 | C23 | 1 | 1 | yes | characteristic |
| 188 | #125×C61 | C23 | 1 | 1 | yes | characteristic |
| 189 | #124×C61 | C23 | 1 | 1 | yes | characteristic |
| 190 | #124×C61 | C23 | 1 | 1 | yes | characteristic |
| 191 | #123×C61 | — | 2 | 1 | no | — |
| 192 | #123×C61 | — | 2 | 1 | no | — |
| 193 | C22⋊Q8×C61 | — | 2 | 1 | no | — |
| 194 | C22⋊Q8×C61 | — | 2 | 1 | no | — |
| 195 | #121×C61 | — | 2 | 1 | no | — |
| 196 | #121×C61 | — | 2 | 1 | no | — |
| 197 | #103×C61 | — | 2 | 1 | no | — |
| 198 | #103×C61 | — | 2 | 1 | no | — |
| 199 | #103×C61 | — | 2 | 1 | no | — |
| 200 | #103×C61 | — | 2 | 1 | no | — |
| 201 | #102×C61 | — | 2 | 1 | no | — |
| 202 | #102×C61 | — | 2 | 1 | no | — |
| 203 | #97×C61 | C23 | 1 | 1 | yes | characteristic |
| 204 | #97×C61 | C23 | 1 | 1 | yes | characteristic |
| 205 | #97×C61 | C23 | 1 | 1 | yes | characteristic |
| 206 | C2×Q8×C61 | — | 2 | 1 | no | — |
| 207 | C2×Q8×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 208 | C2×Q8×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 209 | C2×D4×C61 | — | 2 | 1 | no | — |
| 210 | C2×D4×C61 | — | 2 | 1 | no | — |
| 211 | C2×D4×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 212 | C2×D4×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 213 | C22×C4×C61 | — | 2 | 1 | no | — |
| 214 | C22×C4×C61 | — | 2 | 1 | no | — |
| 215 | C2×C22⋊D61 | — | 2 | 1 | no | — |
| 216 | C2×C22⋊D61 | — | 2 | 1 | no | — |
| 217 | C2×C22⋊D61 | — | 2 | 1 | no | — |
| 218 | C2×C22⋊D61 | — | 2 | 1 | no | — |
| 219 | C2×C22⋊D61 | — | 2 | 1 | no | — |
| 220 | C2×C22⋊D61 | — | 2 | 1 | no | — |
| 221 | C2×C22⋊D61 | — | 2 | 1 | no | — |
| 222 | C2×C22⋊D61 | — | 2 | 1 | no | — |
| 223 | C2×C22⋊D61 | — | 2 | 1 | no | — |
| 224 | C2×C22⋊D61 | — | 2 | 1 | no | — |
| 225 | C22×Dic61 | — | 2 | 1 | no | — |
| 226 | C22×Dic61 | — | 2 | 1 | no | — |
| 227 | C22×Dic61 | — | 2 | 1 | no | — |
| 228 | C22×Dic61 | — | 2 | 1 | no | — |
| 229 | #11758226 | — | 4 | 2 | no | — |
| 230 | #11758226 | — | 8 | 1 | no | — |
| 231 | #11758224 | — | 4 | 2 | no | — |
| 232 | #11758224 | — | 8 | 1 | no | — |
| 233 | #11758224 | — | 8 | 2 | no | — |
| 234 | #11758224 | — | 8 | 2 | no | — |
| 235 | #11758222 | — | 8 | 2 | no | — |
| 236 | #11758222 | — | 8 | 2 | no | — |
| 237 | C2×D244 | — | 2 | 1 | no | — |
| 238 | C2×D244 | — | 2 | 1 | no | — |
| 239 | C2×D244 | — | 2 | 1 | no | — |
| 240 | C2×D244 | — | 2 | 1 | no | — |
| 241 | C2×D244 | C2×D4 | 1 | 1 | yes | characteristic |
| 242 | C2×D244 | C2×D4 | 1 | 1 | yes | characteristic |
| 243 | C2×C4×D61 | — | 2 | 1 | no | — |
| 244 | C2×C4×D61 | — | 2 | 1 | no | — |
| 245 | C2×C4×D61 | — | 2 | 1 | no | — |
| 246 | C2×C4×D61 | — | 2 | 1 | no | — |
| 247 | C2×C4×D61 | — | 2 | 1 | no | — |
| 248 | C2×C4×D61 | — | 2 | 1 | no | — |
| 249 | C2×C4×D61 | C2×D4 | 1 | 1 | yes | characteristic |
| 250 | C2×C4×D61 | C2×D4 | 1 | 1 | yes | characteristic |
| 251 | C2×C4×D61 | C2×D4 | 1 | 1 | yes | characteristic |
| 252 | C2×Dic122 | — | 2 | 1 | no | — |
| 253 | C2×Dic122 | — | 2 | 1 | no | — |
| 254 | C2×Dic122 | — | 2 | 1 | no | — |
| 255 | C2×Dic122 | C2×D4 | 1 | 1 | yes | characteristic |
| 256 | C2×Dic122 | C2×D4 | 1 | 1 | yes | characteristic |
| 257 | C2×C8×C61 | — | 2 | 1 | no | — |
| 258 | C2×C8×C61 | — | 2 | 1 | no | — |
| 259 | C2×C8×C61 | — | 2 | 1 | no | — |
| 260 | C4⋊C4×C61 | — | 2 | 1 | no | — |
| 261 | C4⋊C4×C61 | — | 2 | 1 | no | — |
| 262 | C4⋊C4×C61 | — | 2 | 1 | no | — |
| 263 | C4⋊C4×C61 | — | 2 | 1 | no | — |
| 264 | C4⋊C4×C61 | — | 2 | 1 | no | — |
| 265 | C4⋊C4×C61 | — | 2 | 1 | no | — |
| 266 | C4⋊C4×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 267 | C4⋊C4×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 268 | C22⋊C4×C61 | — | 2 | 1 | no | — |
| 269 | C22⋊C4×C61 | — | 2 | 1 | no | — |
| 270 | C22⋊C4×C61 | — | 2 | 1 | no | — |
| 271 | C22⋊C4×C61 | — | 2 | 1 | no | — |
| 272 | C22⋊C4×C61 | — | 2 | 1 | no | — |
| 273 | C22⋊C4×C61 | — | 2 | 1 | no | — |
| 274 | C42×C61 | C24 | 1 | 1 | yes | characteristic |
| 275 | C22⋊Dic61 | — | 2 | 1 | no | — |
| 276 | C22⋊Dic61 | — | 2 | 1 | no | — |
| 277 | #11758202 | — | 8 | 1 | no | — |
| 278 | #11758200 | — | 8 | 1 | no | — |
| 279 | #11758198 | — | 2 | 1 | no | — |
| 280 | #11758198 | — | 2 | 1 | no | — |
| 281 | #11758198 | — | 2 | 1 | no | — |
| 282 | #11758198 | — | 2 | 1 | no | — |
| 283 | #11758198 | — | 2 | 1 | no | — |
| 284 | #11758198 | — | 2 | 1 | no | — |
| 285 | #11758198 | — | 2 | 1 | no | — |
| 286 | #11758198 | — | 2 | 1 | no | — |
| 287 | #11758198 | — | 2 | 1 | no | — |
| 288 | #11758198 | — | 2 | 1 | no | — |
| 289 | #11758198 | — | 4 | 1 | no | — |
| 290 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 291 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 292 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 293 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 294 | C4⋊Dic61 | — | 4 | 1 | no | — |
| 295 | C4⋊Dic61 | C2×D4 | 1 | 1 | yes | characteristic |
| 296 | C4⋊Dic61 | C2×D4 | 1 | 1 | yes | characteristic |
| 297 | #11758196 | — | 2 | 1 | no | — |
| 298 | #11758196 | — | 2 | 1 | no | — |
| 299 | #11758196 | — | 2 | 1 | no | — |
| 300 | #11758196 | — | 2 | 1 | no | — |
| 301 | #11758196 | — | 2 | 1 | no | — |
| 302 | #11758196 | — | 2 | 1 | no | — |
| 303 | #11758196 | — | 2 | 1 | no | — |
| 304 | #11758196 | — | 2 | 1 | no | — |
| 305 | #11758196 | — | 2 | 1 | no | — |
| 306 | #11758196 | — | 2 | 1 | no | — |
| 307 | #11758196 | — | 2 | 1 | no | — |
| 308 | #11758196 | — | 2 | 1 | no | — |
| 309 | #11758196 | — | 4 | 1 | no | — |
| 310 | C4×Dic61 | — | 2 | 1 | no | — |
| 311 | C4×Dic61 | — | 2 | 1 | no | — |
| 312 | C4×Dic61 | — | 4 | 1 | no | — |
| 313 | C4×Dic61 | C2×D4 | 1 | 1 | yes | characteristic |
| 314 | C4×Dic61 | C2×D4 | 1 | 1 | yes | characteristic |
| 315 | C4×Dic61 | C2×D4 | 1 | 1 | yes | characteristic |
| 316 | C2×#92418 | — | 2 | 1 | no | — |
| 317 | C2×#92418 | — | 2 | 1 | no | — |
| 318 | C2×#92418 | — | 2 | 1 | no | — |
| 319 | Dic244 | — | 8 | 1 | no | — |
| 320 | #11758190 | — | 8 | 1 | no | — |
| 321 | C8×D61 | — | 4 | 2 | no | — |
| 322 | C23×C61 | — | 2 | 1 | no | — |
| 323 | C23×C61 | — | 2 | 1 | no | — |
| 324 | C22×D61 | — | 2 | 1 | no | — |
| 325 | C22×D61 | — | 2 | 1 | no | — |
| 326 | C22×D61 | #120 | 1 | 1 | yes | characteristic |
| 327 | Q8×C61 | — | 4 | 1 | no | — |
| 328 | Q8×C61 | — | 4 | 1 | no | — |
| 329 | Q8×C61 | — | 4 | 2 | no | — |
| 330 | D4×C61 | — | 4 | 1 | no | — |
| 331 | D4×C61 | — | 4 | 1 | no | — |
| 332 | D4×C61 | — | 8 | 1 | no | — |
| 333 | D4×C61 | — | 8 | 1 | no | — |
| 334 | C2×C4×C61 | — | 2 | 1 | no | — |
| 335 | C2×C4×C61 | — | 2 | 1 | no | — |
| 336 | C2×C4×C61 | — | 2 | 1 | no | — |
| 337 | C2×C4×C61 | — | 2 | 1 | no | — |
| 338 | C2×C4×C61 | — | 4 | 1 | no | — |
| 339 | C2×C4×C61 | — | 8 | 1 | no | — |
| 340 | C2×C4×C61 | — | 8 | 1 | no | — |
| 341 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 342 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 343 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 344 | C22⋊D61 | — | 4 | 2 | no | — |
| 345 | C22⋊D61 | — | 4 | 2 | no | — |
| 346 | C22⋊D61 | — | 4 | 2 | no | — |
| 347 | C22⋊D61 | — | 4 | 2 | no | — |
| 348 | C22⋊D61 | — | 8 | 1 | no | — |
| 349 | C22⋊D61 | — | 8 | 1 | no | — |
| 350 | C22⋊D61 | — | 8 | 1 | no | — |
| 351 | C22⋊D61 | — | 8 | 1 | no | — |
| 352 | C22⋊D61 | — | 8 | 1 | no | — |
| 353 | C22⋊D61 | — | 8 | 1 | no | — |
| 354 | C2×Dic61 | — | 2 | 1 | no | — |
| 355 | C2×Dic61 | — | 2 | 1 | no | — |
| 356 | C2×Dic61 | — | 2 | 1 | no | — |
| 357 | C2×Dic61 | — | 2 | 1 | no | — |
| 358 | C2×Dic61 | — | 4 | 2 | no | — |
| 359 | C2×Dic61 | — | 4 | 2 | no | — |
| 360 | C2×Dic61 | — | 4 | 1 | no | — |
| 361 | C2×Dic61 | — | 8 | 1 | no | — |
| 362 | C2×Dic61 | — | 8 | 1 | no | — |
| 363 | C2×Dic61 | #120 | 1 | 1 | yes | characteristic |
| 364 | C2×Dic61 | #120 | 1 | 1 | yes | characteristic |
| 365 | C2×Dic61 | #120 | 1 | 1 | yes | characteristic |
| 366 | D244 | — | 4 | 1 | no | — |
| 367 | D244 | — | 4 | 1 | no | — |
| 368 | D244 | — | 8 | 1 | no | — |
| 369 | D244 | — | 8 | 1 | no | — |
| 370 | D244 | — | 8 | 1 | no | — |
| 371 | D244 | — | 8 | 1 | no | — |
| 372 | C4×D61 | — | 2 | 2 | no | — |
| 373 | C4×D61 | — | 4 | 1 | no | — |
| 374 | C4×D61 | — | 4 | 1 | no | — |
| 375 | C4×D61 | — | 4 | 2 | no | — |
| 376 | C4×D61 | — | 4 | 2 | no | — |
| 377 | C4×D61 | — | 8 | 1 | no | — |
| 378 | C4×D61 | — | 8 | 1 | no | — |
| 379 | C4×D61 | — | 8 | 1 | no | — |
| 380 | C4×D61 | — | 8 | 1 | no | — |
| 381 | Dic122 | — | 4 | 2 | no | — |
| 382 | Dic122 | — | 4 | 2 | no | — |
| 383 | Dic122 | — | 4 | 1 | no | — |
| 384 | Dic122 | — | 4 | 1 | no | — |
| 385 | Dic122 | — | 4 | 1 | no | — |
| 386 | Dic122 | — | 4 | 1 | no | — |
| 387 | C8×C61 | — | 4 | 1 | no | — |
| 388 | C8×C61 | — | 4 | 1 | no | — |
| 389 | C8×C61 | — | 4 | 1 | no | — |
| 390 | #92418 | — | 4 | 1 | no | — |
| 391 | #92418 | — | 4 | 1 | no | — |
| 392 | #92418 | — | 4 | 1 | no | — |
| 393 | #19057 | — | 61 | 1 | no | maximal, Sylow |
| 394 | C22×C61 | — | 4 | 1 | no | — |
| 395 | C22×C61 | — | 4 | 1 | no | — |
| 396 | C22×C61 | — | 4 | 1 | no | — |
| 397 | C22×C61 | — | 4 | 1 | no | — |
| 398 | C22×C61 | — | 4 | 1 | no | — |
| 399 | C22×C61 | — | 4 | 1 | no | — |
| 400 | C22×C61 | C2×#120 | 1 | 1 | yes | characteristic |
| 401 | C2×D61 | — | 2 | 1 | no | — |
| 402 | C2×D61 | — | 2 | 1 | no | — |
| 403 | C2×D61 | — | 2 | 1 | no | — |
| 404 | C2×D61 | — | 4 | 1 | no | — |
| 405 | C2×D61 | — | 4 | 1 | no | — |
| 406 | C2×D61 | — | 4 | 1 | no | — |
| 407 | C2×D61 | — | 4 | 1 | no | — |
| 408 | C2×D61 | — | 4 | 1 | no | — |
| 409 | C2×D61 | — | 4 | 1 | no | — |
| 410 | C4×C61 | — | 2 | 1 | no | — |
| 411 | C4×C61 | — | 2 | 1 | no | — |
| 412 | C4×C61 | — | 2 | 1 | no | — |
| 413 | C4×C61 | — | 4 | 1 | no | — |
| 414 | C4×C61 | — | 4 | 1 | no | — |
| 415 | C4×C61 | — | 4 | 1 | no | — |
| 416 | C4×C61 | — | 4 | 1 | no | — |
| 417 | C4×C61 | — | 8 | 1 | no | — |
| 418 | Dic61 | — | 2 | 1 | no | — |
| 419 | Dic61 | — | 2 | 1 | no | — |
| 420 | Dic61 | — | 4 | 1 | no | — |
| 421 | Dic61 | — | 4 | 1 | no | — |
| 422 | Dic61 | — | 4 | 1 | no | — |
| 423 | Dic61 | — | 4 | 1 | no | — |
| 424 | Dic61 | — | 8 | 1 | no | — |
| 425 | Dic61 | #455 | 1 | 2 | yes | — |
| 426 | #3548 | — | 61 | 1 | no | — |
| 427 | #3237 | — | 61 | 1 | no | — |
| 428 | #3216 | — | 61 | 1 | no | — |
| 429 | #3135 | — | 61 | 1 | no | — |
| 430 | #1662 | — | 61 | 1 | no | — |
| 431 | #1662 | — | 61 | 1 | no | — |
| 432 | #1662 | — | 61 | 1 | no | — |
| 433 | #1662 | D61 | 1 | 1 | yes | characteristic, complemented |
| 434 | #1661 | — | 61 | 1 | no | — |
| 435 | #1661 | — | 61 | 1 | no | — |
| 436 | #1661 | — | 61 | 1 | no | — |
| 437 | #1661 | — | 61 | 1 | no | — |
| 438 | #1536 | — | 61 | 1 | no | — |
| 439 | #1531 | — | 61 | 1 | no | — |
| 440 | #1530 | — | 61 | 1 | no | — |
| 441 | C2×C61 | — | 8 | 1 | no | — |
| 442 | C2×C61 | — | 8 | 1 | no | — |
| 443 | C2×C61 | C2×#455 | 1 | 1 | yes | characteristic |
| 444 | C2×C61 | #3019 | 1 | 1 | yes | characteristic |
| 445 | C2×C61 | #3020 | 1 | 1 | yes | characteristic |
| 446 | D61 | — | 4 | 1 | no | — |
| 447 | D61 | — | 8 | 1 | no | — |
| 448 | D61 | — | 8 | 1 | no | — |
| 449 | #562 | — | 61 | 1 | no | — |
| 450 | #562 | — | 61 | 1 | no | — |
| 451 | #562 | — | 61 | 1 | no | — |
| 452 | #562 | C2×D61 | 1 | 1 | yes | characteristic |
| 453 | #554 | — | 122 | 1 | no | — |
| 454 | #554 | — | 122 | 1 | no | — |
| 455 | #550 | — | 122 | 1 | no | — |
| 456 | #550 | — | 122 | 1 | no | — |
| 457 | #547 | — | 122 | 1 | no | — |
| 458 | #547 | — | 122 | 1 | no | — |
| 459 | #540 | — | 122 | 1 | no | — |
| 460 | #540 | — | 122 | 1 | no | — |
| 461 | #537 | — | 122 | 1 | no | — |
| 462 | #537 | — | 122 | 1 | no | — |
| 463 | #537 | — | 122 | 1 | no | — |
| 464 | #537 | — | 122 | 1 | no | — |
| 465 | #533 | — | 61 | 1 | no | — |
| 466 | #533 | — | 61 | 1 | no | — |
| 467 | #532 | — | 61 | 1 | no | — |
| 468 | #532 | — | 61 | 1 | no | — |
| 469 | #501 | — | 61 | 1 | no | — |
| 470 | #501 | — | 61 | 1 | no | — |
| 471 | #497 | — | 61 | 1 | no | — |
| 472 | #497 | — | 61 | 1 | no | — |
| 473 | #491 | — | 61 | 1 | no | — |
| 474 | #491 | — | 122 | 1 | no | — |
| 475 | #491 | C2×D61 | 1 | 1 | yes | characteristic |
| 476 | #490 | — | 122 | 1 | no | — |
| 477 | #489 | — | 61 | 1 | no | — |
| 478 | #489 | — | 61 | 1 | no | — |
| 479 | #489 | — | 61 | 1 | no | — |
| 480 | #489 | — | 61 | 1 | no | — |
| 481 | #489 | C2×D61 | 1 | 1 | yes | characteristic |
| 482 | #489 | C2×D61 | 1 | 1 | yes | characteristic |
| 483 | #485 | — | 122 | 1 | no | — |
| 484 | #485 | — | 122 | 1 | no | — |
| 485 | #477 | — | 122 | 1 | no | — |
| 486 | #475 | — | 122 | 1 | no | — |
| 487 | #462 | — | 122 | 1 | no | — |
| 488 | #460 | — | 122 | 1 | no | — |
| 489 | #452 | — | 122 | 1 | no | — |
| 490 | #452 | — | 122 | 1 | no | — |
| 491 | #432 | — | 61 | 1 | no | — |
| 492 | #432 | — | 61 | 1 | no | — |
| 493 | #416 | — | 122 | 1 | no | — |
| 494 | #416 | — | 122 | 1 | no | — |
| 495 | C2×#97 | — | 61 | 1 | no | — |
| 496 | #330 | — | 61 | 1 | no | — |
| 497 | #330 | — | 61 | 1 | no | — |
| 498 | #330 | — | 61 | 1 | no | — |
| 499 | #330 | C2×D61 | 1 | 1 | yes | characteristic |
| 500 | #329 | — | 61 | 1 | no | — |
| 501 | #329 | — | 61 | 1 | no | — |
| 502 | #329 | — | 61 | 1 | no | — |
| 503 | #329 | — | 61 | 1 | no | — |
| 504 | #329 | — | 61 | 1 | no | — |
| 505 | #329 | — | 61 | 1 | no | — |
| 506 | #329 | C2×D61 | 1 | 1 | yes | characteristic |
| 507 | #329 | C2×D61 | 1 | 1 | yes | characteristic |
| 508 | C61 | #19057 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 509 | C2×#41 | — | 61 | 1 | no | — |
| 510 | C2×#41 | — | 61 | 1 | no | — |
| 511 | C2×#41 | — | 61 | 1 | no | — |
| 512 | C2×#41 | — | 61 | 1 | no | — |
| 513 | C2×#41 | — | 122 | 1 | no | — |
| 514 | C2×#41 | — | 122 | 1 | no | — |
| 515 | C2×#41 | — | 122 | 1 | no | — |
| 516 | C2×#41 | — | 122 | 1 | no | — |
| 517 | C2×Q16 | — | 122 | 1 | no | — |
| 518 | C2×Q16 | — | 122 | 1 | no | — |
| 519 | C2×SD16 | — | 122 | 1 | no | — |
| 520 | C2×SD16 | — | 122 | 1 | no | — |
| 521 | C22×C8 | — | 122 | 1 | no | — |
| 522 | C4⋊Q8 | — | 61 | 1 | no | — |
| 523 | C4⋊Q8 | — | 61 | 1 | no | — |
| 524 | C4⋊Q8 | — | 61 | 1 | no | — |
| 525 | C4⋊Q8 | — | 61 | 1 | no | — |
| 526 | C4⋊Q8 | — | 61 | 1 | no | — |
| 527 | C4⋊Q8 | C22×D61 | 1 | 1 | yes | characteristic |
| 528 | #127 | — | 61 | 1 | no | — |
| 529 | #127 | — | 61 | 1 | no | — |
| 530 | #127 | — | 122 | 1 | no | — |
| 531 | #127 | — | 122 | 1 | no | — |
| 532 | #125 | — | 61 | 1 | no | — |
| 533 | #125 | — | 122 | 1 | no | — |
| 534 | #125 | — | 122 | 1 | no | — |
| 535 | #125 | — | 122 | 1 | no | — |
| 536 | #125 | C22×D61 | 1 | 1 | yes | characteristic |
| 537 | #124 | — | 61 | 1 | no | — |
| 538 | #124 | — | 61 | 1 | no | — |
| 539 | #124 | C22×D61 | 1 | 1 | yes | characteristic |
| 540 | #124 | C22×D61 | 1 | 1 | yes | characteristic |
| 541 | #123 | — | 2 | 1 | no | — |
| 542 | #123 | — | 2 | 1 | no | — |
| 543 | #123 | — | 122 | 1 | no | — |
| 544 | #123 | — | 122 | 1 | no | — |
| 545 | #123 | — | 122 | 1 | no | — |
| 546 | #123 | — | 122 | 1 | no | — |
| 547 | #123 | — | 122 | 1 | no | — |
| 548 | #123 | — | 122 | 1 | no | — |
| 549 | C22⋊Q8 | — | 2 | 1 | no | — |
| 550 | C22⋊Q8 | — | 2 | 1 | no | — |
| 551 | C22⋊Q8 | — | 122 | 1 | no | — |
| 552 | C22⋊Q8 | — | 122 | 1 | no | — |
| 553 | C22⋊Q8 | — | 122 | 1 | no | — |
| 554 | C22⋊Q8 | — | 122 | 1 | no | — |
| 555 | C22⋊Q8 | — | 122 | 1 | no | — |
| 556 | C22⋊Q8 | — | 122 | 1 | no | — |
| 557 | C22⋊Q8 | — | 122 | 1 | no | — |
| 558 | C22⋊Q8 | — | 122 | 1 | no | — |
| 559 | C22⋊Q8 | — | 122 | 1 | no | — |
| 560 | C22⋊Q8 | — | 122 | 1 | no | — |
| 561 | C22⋊Q8 | — | 122 | 1 | no | — |
| 562 | C22⋊Q8 | — | 122 | 1 | no | — |
| 563 | C22⋊Q8 | — | 122 | 1 | no | — |
| 564 | C22⋊Q8 | — | 122 | 1 | no | — |
| 565 | #121 | — | 2 | 1 | no | — |
| 566 | #121 | — | 2 | 1 | no | — |
| 567 | #121 | — | 122 | 1 | no | — |
| 568 | #121 | — | 122 | 1 | no | — |
| 569 | #121 | — | 122 | 1 | no | — |
| 570 | #121 | — | 122 | 1 | no | — |
| 571 | #121 | — | 122 | 1 | no | — |
| 572 | #121 | — | 122 | 1 | no | — |
| 573 | #121 | — | 122 | 1 | no | — |
| 574 | #121 | — | 122 | 1 | no | — |
| 575 | #121 | — | 122 | 1 | no | — |
| 576 | #121 | — | 122 | 1 | no | — |
| 577 | #121 | — | 122 | 1 | no | — |
| 578 | #121 | — | 122 | 1 | no | — |
| 579 | #121 | — | 122 | 1 | no | — |
| 580 | #121 | — | 122 | 1 | no | — |
| 581 | #121 | — | 122 | 1 | no | — |
| 582 | #121 | — | 122 | 1 | no | — |
| 583 | #121 | — | 122 | 1 | no | — |
| 584 | #121 | — | 122 | 1 | no | — |
| 585 | #121 | — | 122 | 1 | no | — |
| 586 | #121 | — | 122 | 1 | no | — |
| 587 | #121 | — | 122 | 1 | no | — |
| 588 | #121 | — | 122 | 1 | no | — |
| 589 | C4×Q8 | — | 122 | 1 | no | — |
| 590 | C4×Q8 | — | 122 | 1 | no | — |
| 591 | C4×Q8 | — | 122 | 1 | no | — |
| 592 | C4×Q8 | — | 122 | 1 | no | — |
| 593 | C4×D4 | — | 122 | 1 | no | — |
| 594 | C4×D4 | — | 122 | 1 | no | — |
| 595 | C4×D4 | — | 122 | 1 | no | — |
| 596 | C4×D4 | — | 122 | 1 | no | — |
| 597 | C4×D4 | — | 122 | 1 | no | — |
| 598 | C4×D4 | — | 122 | 1 | no | — |
| 599 | C4×D4 | — | 122 | 1 | no | — |
| 600 | C4×D4 | — | 122 | 1 | no | — |
| 601 | #117 | — | 61 | 1 | no | — |
| 602 | #117 | — | 61 | 1 | no | — |
| 603 | #117 | — | 122 | 1 | no | — |
| 604 | C2×C4⋊C4 | — | 122 | 1 | no | — |
| 605 | C2×C4⋊C4 | — | 122 | 1 | no | — |
| 606 | C2×C4⋊C4 | — | 122 | 1 | no | — |
| 607 | C2×C4⋊C4 | — | 122 | 1 | no | — |
| 608 | C2×C42 | — | 61 | 1 | no | — |
| 609 | #107 | — | 122 | 1 | no | — |
| 610 | #107 | — | 122 | 1 | no | — |
| 611 | #106 | — | 122 | 1 | no | — |
| 612 | #106 | — | 122 | 1 | no | — |
| 613 | C4⋊C8 | — | 122 | 1 | no | — |
| 614 | C4⋊C8 | — | 122 | 1 | no | — |
| 615 | #103 | — | 2 | 1 | no | — |
| 616 | #103 | — | 2 | 1 | no | — |
| 617 | #103 | — | 2 | 1 | no | — |
| 618 | #103 | — | 2 | 1 | no | — |
| 619 | #103 | — | 122 | 1 | no | — |
| 620 | #103 | — | 122 | 1 | no | — |
| 621 | #103 | — | 122 | 1 | no | — |
| 622 | #103 | — | 122 | 1 | no | — |
| 623 | #103 | — | 122 | 1 | no | — |
| 624 | #103 | — | 122 | 1 | no | — |
| 625 | #102 | — | 2 | 1 | no | — |
| 626 | #102 | — | 2 | 1 | no | — |
| 627 | #102 | — | 122 | 1 | no | — |
| 628 | #102 | — | 122 | 1 | no | — |
| 629 | #102 | — | 122 | 1 | no | — |
| 630 | #102 | — | 122 | 1 | no | — |
| 631 | C22⋊C8 | — | 122 | 1 | no | — |
| 632 | C22⋊C8 | — | 122 | 1 | no | — |
| 633 | #97 | — | 61 | 1 | no | — |
| 634 | #97 | — | 61 | 1 | no | — |
| 635 | #97 | — | 61 | 1 | no | — |
| 636 | #97 | — | 122 | 1 | no | — |
| 637 | #97 | C22×D61 | 1 | 1 | yes | characteristic |
| 638 | #97 | C22×D61 | 1 | 1 | yes | characteristic |
| 639 | #97 | C22×D61 | 1 | 1 | yes | characteristic |
| 640 | #41 | — | 488 | 2 | no | — |
| 641 | #41 | — | 488 | 2 | no | — |
| 642 | #41 | — | 488 | 2 | no | — |
| 643 | #41 | — | 488 | 2 | no | — |
| 644 | #41 | — | 488 | 1 | no | — |
| 645 | #41 | — | 488 | 1 | no | — |
| 646 | #41 | — | 244 | 2 | no | — |
| 647 | #41 | — | 244 | 2 | no | — |
| 648 | C2×Q8 | — | 2 | 1 | no | — |
| 649 | C2×Q8 | — | 61 | 1 | no | — |
| 650 | C2×Q8 | — | 61 | 1 | no | — |
| 651 | C2×Q8 | — | 122 | 1 | no | — |
| 652 | C2×Q8 | — | 122 | 1 | no | — |
| 653 | C2×Q8 | — | 122 | 1 | no | — |
| 654 | C2×Q8 | D4×D61 | 1 | 1 | yes | characteristic |
| 655 | C2×Q8 | D4×D61 | 1 | 1 | yes | characteristic |
| 656 | C2×D4 | — | 2 | 1 | no | — |
| 657 | C2×D4 | — | 2 | 1 | no | — |
| 658 | C2×D4 | — | 61 | 1 | no | — |
| 659 | C2×D4 | — | 61 | 1 | no | — |
| 660 | C2×D4 | — | 122 | 1 | no | — |
| 661 | C2×D4 | — | 122 | 1 | no | — |
| 662 | C2×D4 | — | 122 | 1 | no | — |
| 663 | C2×D4 | — | 122 | 1 | no | — |
| 664 | C2×D4 | — | 122 | 1 | no | — |
| 665 | C2×D4 | — | 122 | 1 | no | — |
| 666 | C2×D4 | — | 122 | 1 | no | — |
| 667 | C2×D4 | — | 122 | 1 | no | — |
| 668 | C2×D4 | — | 122 | 1 | no | — |
| 669 | C2×D4 | — | 122 | 1 | no | — |
| 670 | C2×D4 | — | 122 | 1 | no | — |
| 671 | C2×D4 | — | 122 | 1 | no | — |
| 672 | C2×D4 | — | 122 | 1 | no | — |
| 673 | C2×D4 | — | 122 | 1 | no | — |
| 674 | C2×D4 | D4×D61 | 1 | 1 | yes | characteristic |
| 675 | C2×D4 | D4×D61 | 1 | 1 | yes | characteristic |
| 676 | C22×C4 | — | 2 | 1 | no | — |
| 677 | C22×C4 | — | 2 | 1 | no | — |
| 678 | C22×C4 | — | 61 | 1 | no | — |
| 679 | C22×C4 | — | 61 | 1 | no | — |
| 680 | C22×C4 | — | 61 | 1 | no | — |
| 681 | C22×C4 | — | 122 | 1 | no | — |
| 682 | C22×C4 | — | 122 | 1 | no | — |
| 683 | C22×C4 | — | 122 | 1 | no | — |
| 684 | C22×C4 | — | 122 | 1 | no | — |
| 685 | C22×C4 | — | 122 | 1 | no | — |
| 686 | C22×C4 | — | 122 | 1 | no | — |
| 687 | C22×C4 | — | 122 | 1 | no | — |
| 688 | C22×C4 | — | 122 | 1 | no | — |
| 689 | C22×C4 | — | 122 | 1 | no | — |
| 690 | C22×C4 | — | 122 | 1 | no | — |
| 691 | Q16 | — | 488 | 1 | no | — |
| 692 | Q16 | — | 488 | 1 | no | — |
| 693 | SD16 | — | 488 | 1 | no | — |
| 694 | SD16 | — | 488 | 1 | no | — |
| 695 | C2×C8 | — | 2 | 1 | no | — |
| 696 | C2×C8 | — | 2 | 1 | no | — |
| 697 | C2×C8 | — | 2 | 1 | no | — |
| 698 | C2×C8 | — | 122 | 1 | no | — |
| 699 | C2×C8 | — | 122 | 1 | no | — |
| 700 | C2×C8 | — | 122 | 1 | no | — |
| 701 | C2×C8 | — | 244 | 2 | no | — |
| 702 | C4⋊C4 | — | 2 | 1 | no | — |
| 703 | C4⋊C4 | — | 2 | 1 | no | — |
| 704 | C4⋊C4 | — | 2 | 1 | no | — |
| 705 | C4⋊C4 | — | 2 | 1 | no | — |
| 706 | C4⋊C4 | — | 2 | 1 | no | — |
| 707 | C4⋊C4 | — | 2 | 1 | no | — |
| 708 | C4⋊C4 | — | 61 | 1 | no | — |
| 709 | C4⋊C4 | — | 61 | 1 | no | — |
| 710 | C4⋊C4 | — | 122 | 1 | no | — |
| 711 | C4⋊C4 | — | 122 | 1 | no | — |
| 712 | C4⋊C4 | — | 122 | 1 | no | — |
| 713 | C4⋊C4 | — | 122 | 1 | no | — |
| 714 | C4⋊C4 | — | 122 | 1 | no | — |
| 715 | C4⋊C4 | — | 122 | 1 | no | — |
| 716 | C4⋊C4 | — | 122 | 1 | no | — |
| 717 | C4⋊C4 | — | 122 | 1 | no | — |
| 718 | C4⋊C4 | — | 122 | 1 | no | — |
| 719 | C4⋊C4 | — | 122 | 1 | no | — |
| 720 | C4⋊C4 | — | 122 | 1 | no | — |
| 721 | C4⋊C4 | — | 122 | 1 | no | — |
| 722 | C4⋊C4 | — | 122 | 1 | no | — |
| 723 | C4⋊C4 | — | 122 | 1 | no | — |
| 724 | C4⋊C4 | — | 122 | 1 | no | — |
| 725 | C4⋊C4 | — | 122 | 1 | no | — |
| 726 | C4⋊C4 | — | 244 | 1 | no | — |
| 727 | C4⋊C4 | — | 244 | 1 | no | — |
| 728 | C4⋊C4 | D4×D61 | 1 | 1 | yes | characteristic |
| 729 | C4⋊C4 | D4×D61 | 1 | 1 | yes | characteristic |
| 730 | C22⋊C4 | — | 2 | 1 | no | — |
| 731 | C22⋊C4 | — | 2 | 1 | no | — |
| 732 | C22⋊C4 | — | 2 | 1 | no | — |
| 733 | C22⋊C4 | — | 2 | 1 | no | — |
| 734 | C22⋊C4 | — | 2 | 1 | no | — |
| 735 | C22⋊C4 | — | 2 | 1 | no | — |
| 736 | C22⋊C4 | — | 122 | 1 | no | — |
| 737 | C22⋊C4 | — | 122 | 1 | no | — |
| 738 | C22⋊C4 | — | 122 | 1 | no | — |
| 739 | C22⋊C4 | — | 122 | 1 | no | — |
| 740 | C22⋊C4 | — | 122 | 1 | no | — |
| 741 | C22⋊C4 | — | 122 | 1 | no | — |
| 742 | C22⋊C4 | — | 122 | 1 | no | — |
| 743 | C22⋊C4 | — | 122 | 1 | no | — |
| 744 | C22⋊C4 | — | 122 | 1 | no | — |
| 745 | C22⋊C4 | — | 122 | 1 | no | — |
| 746 | C22⋊C4 | — | 122 | 1 | no | — |
| 747 | C22⋊C4 | — | 122 | 1 | no | — |
| 748 | C22⋊C4 | — | 244 | 1 | no | — |
| 749 | C42 | — | 61 | 1 | no | — |
| 750 | C42 | — | 61 | 1 | no | — |
| 751 | C42 | — | 61 | 1 | no | — |
| 752 | C42 | — | 122 | 1 | no | — |
| 753 | C42 | — | 122 | 1 | no | — |
| 754 | C42 | — | 244 | 1 | no | — |
| 755 | C42 | C23×D61 | 1 | 1 | yes | characteristic |
| 756 | C23 | — | 2 | 1 | no | — |
| 757 | C23 | — | 2 | 1 | no | — |
| 758 | C23 | — | 61 | 1 | no | — |
| 759 | C23 | — | 122 | 1 | no | — |
| 760 | C23 | — | 122 | 1 | no | — |
| 761 | Q8 | — | 4 | 1 | no | — |
| 762 | Q8 | — | 4 | 1 | no | — |
| 763 | Q8 | — | 4 | 2 | no | — |
| 764 | Q8 | — | 244 | 1 | no | — |
| 765 | Q8 | — | 244 | 1 | no | — |
| 766 | Q8 | — | 244 | 1 | no | — |
| 767 | Q8 | — | 244 | 1 | no | — |
| 768 | Q8 | — | 244 | 2 | no | — |
| 769 | Q8 | — | 244 | 2 | no | — |
| 770 | D4 | — | 4 | 1 | no | — |
| 771 | D4 | — | 4 | 1 | no | — |
| 772 | D4 | — | 8 | 1 | no | — |
| 773 | D4 | — | 8 | 1 | no | — |
| 774 | D4 | — | 488 | 1 | no | — |
| 775 | D4 | — | 488 | 1 | no | — |
| 776 | D4 | — | 488 | 1 | no | — |
| 777 | D4 | — | 488 | 1 | no | — |
| 778 | D4 | — | 488 | 1 | no | — |
| 779 | D4 | — | 488 | 1 | no | — |
| 780 | D4 | — | 488 | 1 | no | — |
| 781 | D4 | — | 488 | 1 | no | — |
| 782 | D4 | — | 488 | 1 | no | — |
| 783 | D4 | — | 488 | 1 | no | — |
| 784 | D4 | — | 244 | 1 | no | — |
| 785 | D4 | — | 244 | 1 | no | — |
| 786 | D4 | — | 244 | 2 | no | — |
| 787 | D4 | — | 244 | 2 | no | — |
| 788 | D4 | — | 244 | 2 | no | — |
| 789 | D4 | — | 244 | 2 | no | — |
| 790 | C2×C4 | — | 2 | 1 | no | — |
| 791 | C2×C4 | — | 2 | 1 | no | — |
| 792 | C2×C4 | — | 2 | 1 | no | — |
| 793 | C2×C4 | — | 2 | 1 | no | — |
| 794 | C2×C4 | — | 4 | 1 | no | — |
| 795 | C2×C4 | — | 8 | 1 | no | — |
| 796 | C2×C4 | — | 8 | 1 | no | — |
| 797 | C2×C4 | — | 61 | 1 | no | — |
| 798 | C2×C4 | — | 61 | 1 | no | — |
| 799 | C2×C4 | — | 61 | 1 | no | — |
| 800 | C2×C4 | — | 122 | 2 | no | — |
| 801 | C2×C4 | — | 122 | 1 | no | — |
| 802 | C2×C4 | — | 122 | 1 | no | — |
| 803 | C2×C4 | — | 122 | 1 | no | — |
| 804 | C2×C4 | — | 122 | 1 | no | — |
| 805 | C2×C4 | — | 488 | 1 | no | — |
| 806 | C2×C4 | — | 488 | 1 | no | — |
| 807 | C2×C4 | — | 488 | 1 | no | — |
| 808 | C2×C4 | — | 488 | 1 | no | — |
| 809 | C2×C4 | — | 488 | 1 | no | — |
| 810 | C2×C4 | — | 488 | 1 | no | — |
| 811 | C2×C4 | — | 244 | 1 | no | — |
| 812 | C2×C4 | — | 244 | 1 | no | — |
| 813 | C2×C4 | — | 244 | 2 | no | — |
| 814 | C2×C4 | — | 244 | 2 | no | — |
| 815 | C2×C4 | — | 244 | 2 | no | — |
| 816 | C2×C4 | — | 244 | 2 | no | — |
| 817 | C2×C4 | — | 244 | 1 | no | — |
| 818 | C2×C4 | C2×D4×D61 | 1 | 1 | yes | characteristic |
| 819 | C2×C4 | C2×D4×D61 | 1 | 1 | yes | characteristic |
| 820 | C2×C4 | C2×D4×D61 | 1 | 1 | yes | characteristic |
| 821 | C8 | — | 4 | 1 | no | — |
| 822 | C8 | — | 4 | 1 | no | — |
| 823 | C8 | — | 4 | 1 | no | — |
| 824 | C8 | — | 244 | 1 | no | — |
| 825 | C8 | — | 244 | 1 | no | — |
| 826 | C8 | — | 244 | 1 | no | — |
| 827 | C22 | — | 4 | 1 | no | — |
| 828 | C22 | — | 4 | 1 | no | — |
| 829 | C22 | — | 4 | 1 | no | — |
| 830 | C22 | — | 4 | 1 | no | — |
| 831 | C22 | — | 4 | 1 | no | — |
| 832 | C22 | — | 4 | 1 | no | — |
| 833 | C22 | — | 122 | 1 | no | — |
| 834 | C22 | — | 122 | 1 | no | — |
| 835 | C22 | — | 122 | 1 | no | — |
| 836 | C22 | — | 244 | 1 | no | — |
| 837 | C22 | — | 244 | 1 | no | — |
| 838 | C22 | — | 244 | 1 | no | — |
| 839 | C22 | — | 244 | 1 | no | — |
| 840 | C22 | — | 244 | 1 | no | — |
| 841 | C22 | — | 244 | 1 | no | — |
| 842 | C22 | #120×D61 | 1 | 1 | yes | characteristic |
| 843 | C4 | — | 2 | 1 | no | — |
| 844 | C4 | — | 2 | 1 | no | — |
| 845 | C4 | — | 2 | 1 | no | — |
| 846 | C4 | — | 4 | 1 | no | — |
| 847 | C4 | — | 4 | 1 | no | — |
| 848 | C4 | — | 4 | 1 | no | — |
| 849 | C4 | — | 4 | 1 | no | — |
| 850 | C4 | — | 8 | 1 | no | — |
| 851 | C4 | — | 61 | 2 | no | — |
| 852 | C4 | — | 122 | 1 | no | — |
| 853 | C4 | — | 122 | 1 | no | — |
| 854 | C4 | — | 488 | 1 | no | — |
| 855 | C4 | — | 244 | 1 | no | — |
| 856 | C4 | — | 244 | 1 | no | — |
| 857 | C4 | — | 244 | 1 | no | — |
| 858 | C4 | — | 244 | 1 | no | — |
| 859 | C2 | — | 8 | 1 | no | — |
| 860 | C2 | — | 8 | 1 | no | — |
| 861 | C2 | — | 488 | 1 | no | — |
| 862 | C2 | — | 488 | 1 | no | — |
| 863 | C2 | — | 244 | 1 | no | — |
| 864 | C2 | #455×D61 | 1 | 1 | yes | characteristic |
| 865 | C2 | #21455177 | 1 | 1 | yes | characteristic |
| 866 | C2 | #21455180 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #21457028 | C2 | semidirect |
| 3. #21456831 | C2 | semidirect |
| 4. #21456161 | C2 | semidirect |
| 5. #21445141 | C2 | semidirect |
| 6. #21445141 | C2 | semidirect |
| 7. #21445140 | C2 | semidirect |
| 8. #21445139 | C2 | semidirect |
| 9. #21445138 | C2 | semidirect |
| 10. #21445137 | C2 | semidirect |
| 11. #21445136 | C2 | semidirect |
| 12. #21444452 | C2 | semidirect |
| 13. #21444432 | C2 | semidirect |
| 14. #21444428 | C2 | semidirect |
| 15. C61×#1662 | C2 | semidirect |
| 433. #1662 | D61 | semidirect |
| 508. C61 | #19057 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21460215 | 2 |
| #21457028 | 2 |
| #21456831 | 2 |
| #21456161 | 2 |
| #21445141 | 2 |
| #21445140 | 2 |
| #21445139 | 2 |
| #21445138 | 2 |
| #21445137 | 2 |
| #21445136 | 2 |
| #21444452 | 2 |
| #21444432 | 2 |
| #21444428 | 2 |
| C61×#1662 | 2 |
| #19057 | 61 |