Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
442 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 74 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #21462710 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #21461339 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #21461309 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #21461126 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #21460683 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #21460675 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #21456815 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #16840795 | — | 2 | 1 | no | — |
| 9 | #16840794 | — | 2 | 1 | no | — |
| 10 | #16840791 | — | 2 | 1 | no | — |
| 11 | #16840789 | — | 2 | 1 | no | — |
| 12 | #16840785 | C22 | 1 | 1 | yes | characteristic |
| 13 | #16840785 | C22 | 1 | 1 | yes | characteristic |
| 14 | #16840781 | C22 | 1 | 1 | yes | characteristic |
| 15 | D61⋊(C4⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 16 | #16840737 | — | 2 | 1 | no | — |
| 17 | #16840735 | — | 2 | 1 | no | — |
| 18 | #16840622 | — | 2 | 1 | no | — |
| 19 | #16840620 | — | 2 | 1 | no | — |
| 20 | #16840618 | — | 2 | 1 | no | — |
| 21 | #16840618 | — | 2 | 1 | no | — |
| 22 | #16840610 | — | 2 | 1 | no | — |
| 23 | #16840610 | — | 2 | 1 | no | — |
| 24 | #16840313 | C22 | 1 | 1 | yes | characteristic |
| 25 | #16840311 | C22 | 1 | 1 | yes | characteristic |
| 26 | #16840152 | C4 | 1 | 1 | yes | characteristic |
| 27 | #16840151 | C4 | 1 | 1 | yes | characteristic |
| 28 | #16840124 | C4 | 1 | 1 | yes | characteristic |
| 29 | #16839966 | — | 2 | 1 | no | — |
| 30 | #16839956 | — | 2 | 1 | no | — |
| 31 | #16839910 | — | 2 | 1 | no | — |
| 32 | #16839908 | — | 2 | 1 | no | — |
| 33 | #16839817 | C22 | 1 | 1 | yes | characteristic |
| 34 | C61×#489 | C4 | 1 | 1 | yes | characteristic |
| 35 | C2×#11758213 | — | 2 | 1 | no | — |
| 36 | C2×#11758217 | — | 2 | 1 | no | — |
| 37 | C2×D61⋊C8 | — | 2 | 1 | no | — |
| 38 | C2×D61⋊C8 | — | 2 | 1 | no | — |
| 39 | C22×#92420 | — | 2 | 1 | no | — |
| 40 | #14519844 | — | 2 | 1 | no | — |
| 41 | #14519844 | — | 2 | 1 | no | — |
| 42 | #14519844 | — | 2 | 1 | no | — |
| 43 | C4⋊#92420 | — | 2 | 1 | no | — |
| 44 | C4⋊#92420 | — | 2 | 1 | no | — |
| 45 | #14519834 | — | 2 | 1 | no | — |
| 46 | #14519834 | — | 2 | 1 | no | — |
| 47 | #14519834 | — | 2 | 1 | no | — |
| 48 | #14519834 | — | 2 | 1 | no | — |
| 49 | #14519834 | — | 2 | 1 | no | — |
| 50 | C22⋊#92420 | — | 2 | 1 | no | — |
| 51 | C22⋊#92420 | — | 2 | 1 | no | — |
| 52 | #14519832 | — | 2 | 1 | no | — |
| 53 | #14519832 | D4 | 1 | 1 | yes | characteristic |
| 54 | #14519832 | D4 | 1 | 1 | yes | characteristic |
| 55 | C4×#92420 | D4 | 1 | 1 | yes | characteristic |
| 56 | C4×#92420 | D4 | 1 | 1 | yes | characteristic |
| 57 | C2×#11758226 | — | 2 | 1 | no | — |
| 58 | C2×#11758226 | D4 | 1 | 1 | yes | characteristic |
| 59 | C2×#11758224 | D4 | 1 | 1 | yes | characteristic |
| 60 | C2×#11758190 | — | 2 | 1 | no | — |
| 61 | C2×#11758201 | — | 2 | 1 | no | — |
| 62 | C2×D488 | — | 2 | 1 | no | — |
| 63 | C2×#11758199 | — | 2 | 1 | no | — |
| 64 | #14519775 | D4 | 1 | 1 | yes | characteristic |
| 65 | #14519774 | C2×C4 | 1 | 1 | yes | characteristic |
| 66 | #14519773 | D4 | 1 | 1 | yes | characteristic |
| 67 | #14519766 | — | 2 | 1 | no | — |
| 68 | #14519765 | C2×C4 | 1 | 1 | yes | characteristic |
| 69 | #14519752 | — | 2 | 1 | no | — |
| 70 | #14519752 | — | 2 | 1 | no | — |
| 71 | #14519750 | — | 2 | 1 | no | — |
| 72 | #14519750 | — | 2 | 1 | no | — |
| 73 | #14519739 | — | 2 | 1 | no | — |
| 74 | #14519739 | — | 2 | 1 | no | — |
| 75 | #14519737 | — | 2 | 1 | no | — |
| 76 | #14519737 | — | 2 | 1 | no | — |
| 77 | C42×D61 | C23 | 1 | 1 | yes | characteristic |
| 78 | #14519706 | — | 2 | 1 | no | — |
| 79 | #14519700 | — | 2 | 1 | no | — |
| 80 | #14519697 | — | 2 | 1 | no | — |
| 81 | #14519689 | — | 2 | 1 | no | — |
| 82 | #14519688 | C2×C4 | 1 | 1 | yes | characteristic |
| 83 | C4⋊Q8×C61 | C2×C4 | 1 | 1 | yes | characteristic |
| 84 | #124×C61 | C2×C4 | 1 | 1 | yes | characteristic |
| 85 | #103×C61 | — | 2 | 1 | no | — |
| 86 | #102×C61 | — | 2 | 1 | no | — |
| 87 | #97×C61 | C2×C4 | 1 | 1 | yes | characteristic |
| 88 | C2×Q8×C61 | — | 2 | 1 | no | — |
| 89 | C2×Q8×C61 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 90 | C2×D4×C61 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 91 | C2×C22⋊D61 | — | 2 | 1 | no | — |
| 92 | C2×C22⋊D61 | — | 2 | 1 | no | — |
| 93 | C2×C22⋊D61 | — | 2 | 1 | no | — |
| 94 | C22×Dic61 | — | 2 | 1 | no | — |
| 95 | #11758226 | — | 8 | 1 | no | — |
| 96 | #11758226 | — | 8 | 1 | no | — |
| 97 | #11758226 | — | 8 | 1 | no | — |
| 98 | #11758224 | — | 8 | 1 | no | — |
| 99 | C2×D244 | — | 2 | 1 | no | — |
| 100 | C2×D244 | — | 2 | 1 | no | — |
| 101 | C2×D244 | — | 2 | 1 | no | — |
| 102 | C2×D244 | — | 2 | 1 | no | — |
| 103 | C2×D244 | — | 4 | 1 | no | — |
| 104 | C2×D244 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 105 | C2×C4×D61 | — | 2 | 1 | no | — |
| 106 | C2×C4×D61 | — | 4 | 1 | no | — |
| 107 | C2×C4×D61 | C2×D4 | 1 | 1 | yes | characteristic |
| 108 | C2×C4×D61 | #41 | 1 | 1 | yes | characteristic |
| 109 | C2×C4×D61 | #41 | 1 | 1 | yes | characteristic |
| 110 | C2×Dic122 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 111 | #11758217 | — | 8 | 1 | no | — |
| 112 | C2×#92420 | — | 2 | 1 | no | — |
| 113 | C2×#92420 | — | 2 | 1 | no | — |
| 114 | C2×#92420 | — | 2 | 1 | no | — |
| 115 | C2×#92420 | — | 2 | 1 | no | — |
| 116 | C2×#92420 | — | 4 | 1 | no | — |
| 117 | C2×#92420 | — | 4 | 1 | no | — |
| 118 | C2×#92420 | — | 8 | 1 | no | — |
| 119 | #11758213 | — | 8 | 1 | no | — |
| 120 | D61⋊C8 | — | 8 | 1 | no | — |
| 121 | D61⋊C8 | — | 8 | 1 | no | — |
| 122 | C2×C8×C61 | — | 2 | 1 | no | — |
| 123 | C4⋊C4×C61 | — | 2 | 1 | no | — |
| 124 | C4⋊C4×C61 | — | 2 | 1 | no | — |
| 125 | C22⋊C4×C61 | — | 2 | 1 | no | — |
| 126 | C22⋊C4×C61 | — | 2 | 1 | no | — |
| 127 | C42×C61 | C22×C4 | 1 | 1 | yes | characteristic |
| 128 | #11758201 | — | 8 | 1 | no | — |
| 129 | #11758199 | — | 8 | 1 | no | — |
| 130 | #11758198 | — | 2 | 1 | no | — |
| 131 | #11758198 | — | 2 | 1 | no | — |
| 132 | #11758198 | — | 4 | 1 | no | — |
| 133 | #11758198 | — | 4 | 1 | no | — |
| 134 | #11758196 | — | 2 | 1 | no | — |
| 135 | #11758196 | — | 2 | 1 | no | — |
| 136 | C4×Dic61 | C2×D4 | 1 | 1 | yes | characteristic |
| 137 | C4×Dic61 | C2×D4 | 1 | 1 | yes | characteristic |
| 138 | C4×Dic61 | C2×D4 | 1 | 1 | yes | characteristic |
| 139 | C2×#92418 | — | 2 | 1 | no | — |
| 140 | D488 | — | 8 | 1 | no | — |
| 141 | #11758190 | — | 8 | 1 | no | — |
| 142 | C23×C61 | — | 2 | 1 | no | — |
| 143 | C22×D61 | — | 2 | 1 | no | — |
| 144 | C22×D61 | — | 4 | 1 | no | — |
| 145 | C22×D61 | #123 | 1 | 1 | yes | characteristic |
| 146 | Q8×C61 | — | 4 | 1 | no | — |
| 147 | Q8×C61 | — | 8 | 1 | no | — |
| 148 | D4×C61 | — | 4 | 1 | no | — |
| 149 | C2×C4×C61 | — | 2 | 1 | no | — |
| 150 | C2×C4×C61 | — | 4 | 1 | no | — |
| 151 | C2×C4×C61 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 152 | C2×C4×C61 | C4×D4 | 1 | 1 | yes | characteristic |
| 153 | C2×C4×C61 | C4×D4 | 1 | 1 | yes | characteristic |
| 154 | C22⋊D61 | — | 4 | 1 | no | — |
| 155 | C22⋊D61 | — | 4 | 1 | no | — |
| 156 | C22⋊D61 | — | 8 | 1 | no | — |
| 157 | C22⋊D61 | — | 8 | 1 | no | — |
| 158 | C2×Dic61 | — | 2 | 1 | no | — |
| 159 | C2×Dic61 | — | 4 | 1 | no | — |
| 160 | C2×Dic61 | — | 4 | 1 | no | — |
| 161 | C2×Dic61 | #120 | 1 | 1 | yes | characteristic |
| 162 | C2×Dic61 | #121 | 1 | 1 | yes | characteristic |
| 163 | C2×Dic61 | #121 | 1 | 1 | yes | characteristic |
| 164 | D244 | — | 4 | 1 | no | — |
| 165 | D244 | — | 4 | 1 | no | — |
| 166 | D244 | — | 4 | 1 | no | — |
| 167 | D244 | — | 4 | 2 | no | — |
| 168 | D244 | — | 8 | 1 | no | — |
| 169 | D244 | — | 8 | 1 | no | — |
| 170 | D244 | — | 8 | 2 | no | — |
| 171 | C4×D61 | — | 2 | 1 | no | — |
| 172 | C4×D61 | — | 2 | 1 | no | — |
| 173 | C4×D61 | — | 4 | 1 | no | — |
| 174 | C4×D61 | — | 4 | 1 | no | — |
| 175 | C4×D61 | — | 4 | 1 | no | — |
| 176 | C4×D61 | — | 4 | 1 | no | — |
| 177 | C4×D61 | — | 8 | 1 | no | — |
| 178 | C4×D61 | — | 8 | 1 | no | — |
| 179 | Dic122 | — | 4 | 1 | no | — |
| 180 | #92420 | — | 4 | 1 | no | — |
| 181 | #92420 | — | 4 | 1 | no | — |
| 182 | #92420 | — | 4 | 1 | no | — |
| 183 | #92420 | — | 4 | 1 | no | — |
| 184 | #92420 | — | 8 | 1 | no | — |
| 185 | #92420 | — | 8 | 1 | no | — |
| 186 | C8×C61 | — | 4 | 1 | no | — |
| 187 | #92418 | — | 4 | 1 | no | — |
| 188 | #9371 | — | 61 | 1 | no | maximal, Sylow |
| 189 | C22×C61 | — | 4 | 1 | no | — |
| 190 | C22×C61 | — | 4 | 1 | no | — |
| 191 | C22×C61 | — | 4 | 1 | no | — |
| 192 | C22×C61 | #386 | 1 | 1 | yes | characteristic |
| 193 | C2×D61 | — | 2 | 1 | no | — |
| 194 | C2×D61 | — | 2 | 1 | no | — |
| 195 | C2×D61 | — | 2 | 1 | no | — |
| 196 | C2×D61 | — | 4 | 1 | no | — |
| 197 | C2×D61 | — | 4 | 1 | no | — |
| 198 | C2×D61 | — | 4 | 1 | no | — |
| 199 | C2×D61 | — | 8 | 1 | no | — |
| 200 | C2×D61 | — | 8 | 1 | no | — |
| 201 | C2×D61 | — | 8 | 1 | no | — |
| 202 | C4×C61 | — | 2 | 1 | no | — |
| 203 | C4×C61 | — | 2 | 1 | no | — |
| 204 | C4×C61 | — | 2 | 1 | no | — |
| 205 | C4×C61 | — | 4 | 1 | no | — |
| 206 | C4×C61 | — | 8 | 1 | no | — |
| 207 | Dic61 | — | 2 | 1 | no | — |
| 208 | Dic61 | — | 2 | 1 | no | — |
| 209 | Dic61 | — | 4 | 1 | no | — |
| 210 | Dic61 | #471 | 1 | 1 | yes | characteristic |
| 211 | Dic61 | #472 | 1 | 1 | yes | characteristic |
| 212 | #3214 | — | 61 | 1 | no | — |
| 213 | #2981 | — | 61 | 1 | no | — |
| 214 | #1551 | — | 61 | 1 | no | — |
| 215 | #1536 | — | 61 | 1 | no | — |
| 216 | #1480 | — | 61 | 1 | no | — |
| 217 | #1290 | — | 61 | 1 | no | — |
| 218 | #1287 | — | 61 | 1 | no | — |
| 219 | C2×C61 | — | 8 | 1 | no | — |
| 220 | C2×C61 | #1881 | 1 | 1 | yes | characteristic |
| 221 | C2×C61 | #1907 | 1 | 1 | yes | characteristic |
| 222 | C2×C61 | #1911 | 1 | 1 | yes | characteristic |
| 223 | D61 | — | 4 | 1 | no | — |
| 224 | D61 | — | 8 | 1 | no | — |
| 225 | D61 | — | 16 | 1 | no | — |
| 226 | #532 | — | 61 | 1 | no | — |
| 227 | #532 | — | 61 | 1 | no | — |
| 228 | #496 | — | 61 | 1 | no | — |
| 229 | #496 | — | 61 | 1 | no | — |
| 230 | #489 | — | 61 | 1 | no | — |
| 231 | #489 | #6923 | 1 | 1 | yes | characteristic |
| 232 | #461 | — | 122 | 1 | no | — |
| 233 | #459 | — | 122 | 1 | no | — |
| 234 | #449 | — | 122 | 1 | no | — |
| 235 | #449 | — | 122 | 1 | no | — |
| 236 | #436 | — | 122 | 1 | no | — |
| 237 | #435 | — | 122 | 1 | no | — |
| 238 | #435 | — | 122 | 1 | no | — |
| 239 | C8×D4 | — | 122 | 1 | no | — |
| 240 | #432 | — | 61 | 1 | no | — |
| 241 | #432 | — | 61 | 1 | no | — |
| 242 | #432 | — | 61 | 1 | no | — |
| 243 | #431 | — | 61 | 1 | no | — |
| 244 | C2×C4⋊C8 | — | 61 | 1 | no | — |
| 245 | #408 | — | 122 | 1 | no | — |
| 246 | #408 | — | 122 | 1 | no | — |
| 247 | #333 | — | 122 | 1 | no | — |
| 248 | #331 | — | 122 | 1 | no | — |
| 249 | #329 | — | 122 | 1 | no | — |
| 250 | #329 | — | 122 | 1 | no | — |
| 251 | D4⋊C8 | — | 122 | 1 | no | — |
| 252 | D4⋊C8 | — | 122 | 1 | no | — |
| 253 | C61 | #9371 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 254 | C2×#41 | — | 61 | 1 | no | — |
| 255 | C2×#41 | — | 61 | 1 | no | — |
| 256 | C2×#41 | — | 122 | 1 | no | — |
| 257 | C2×SD16 | — | 122 | 1 | no | — |
| 258 | C2×SD16 | — | 122 | 1 | no | — |
| 259 | C2×D8 | — | 122 | 1 | no | — |
| 260 | C2×D8 | — | 122 | 1 | no | — |
| 261 | C2×M16 | — | 122 | 1 | no | — |
| 262 | C2×M16 | — | 122 | 1 | no | — |
| 263 | C22×C8 | — | 122 | 1 | no | — |
| 264 | C22×C8 | — | 122 | 1 | no | — |
| 265 | C22×C8 | — | 122 | 1 | no | — |
| 266 | C4⋊Q8 | — | 61 | 1 | no | — |
| 267 | C4⋊Q8 | C2×#6923 | 1 | 1 | yes | characteristic |
| 268 | #127 | — | 61 | 1 | no | — |
| 269 | #127 | — | 61 | 1 | no | — |
| 270 | #124 | — | 61 | 1 | no | — |
| 271 | #124 | — | 122 | 1 | no | — |
| 272 | #124 | C2×#6923 | 1 | 1 | yes | characteristic |
| 273 | #121 | — | 122 | 1 | no | — |
| 274 | #121 | — | 122 | 1 | no | — |
| 275 | #121 | — | 122 | 1 | no | — |
| 276 | #121 | — | 122 | 1 | no | — |
| 277 | C4×D4 | — | 122 | 1 | no | — |
| 278 | C4×D4 | — | 122 | 1 | no | — |
| 279 | C4×D4 | — | 122 | 1 | no | — |
| 280 | C4×D4 | — | 122 | 1 | no | — |
| 281 | C2×C42 | — | 61 | 1 | no | — |
| 282 | C4⋊C8 | — | 122 | 1 | no | — |
| 283 | C4⋊C8 | — | 122 | 1 | no | — |
| 284 | C4⋊C8 | — | 122 | 1 | no | — |
| 285 | C4⋊C8 | — | 122 | 1 | no | — |
| 286 | C4⋊C8 | — | 122 | 1 | no | — |
| 287 | C4⋊C8 | — | 122 | 1 | no | — |
| 288 | #103 | — | 2 | 1 | no | — |
| 289 | #103 | — | 122 | 1 | no | — |
| 290 | #102 | — | 2 | 1 | no | — |
| 291 | #102 | — | 122 | 1 | no | — |
| 292 | C22⋊C8 | — | 122 | 1 | no | — |
| 293 | C22⋊C8 | — | 122 | 1 | no | — |
| 294 | C22⋊C8 | — | 122 | 1 | no | — |
| 295 | C22⋊C8 | — | 122 | 1 | no | — |
| 296 | C22⋊C8 | — | 122 | 1 | no | — |
| 297 | C22⋊C8 | — | 122 | 1 | no | — |
| 298 | C22⋊C8 | — | 122 | 1 | no | — |
| 299 | C22⋊C8 | — | 122 | 1 | no | — |
| 300 | #97 | — | 61 | 1 | no | — |
| 301 | #97 | — | 61 | 1 | no | — |
| 302 | #97 | — | 61 | 1 | no | — |
| 303 | #97 | — | 122 | 1 | no | — |
| 304 | #97 | C2×#6923 | 1 | 1 | yes | characteristic |
| 305 | C4×C8 | — | 61 | 1 | no | — |
| 306 | C4×C8 | — | 61 | 1 | no | — |
| 307 | #41 | — | 488 | 1 | no | — |
| 308 | #41 | — | 488 | 1 | no | — |
| 309 | #41 | — | 488 | 1 | no | — |
| 310 | #41 | — | 488 | 1 | no | — |
| 311 | C2×Q8 | — | 2 | 1 | no | — |
| 312 | C2×Q8 | — | 61 | 1 | no | — |
| 313 | C2×Q8 | C22⋊#6923 | 1 | 1 | yes | characteristic |
| 314 | C2×D4 | — | 61 | 1 | no | — |
| 315 | C2×D4 | — | 122 | 1 | no | — |
| 316 | C2×D4 | — | 122 | 1 | no | — |
| 317 | C2×D4 | — | 122 | 1 | no | — |
| 318 | C2×D4 | — | 122 | 1 | no | — |
| 319 | C2×D4 | — | 122 | 1 | no | — |
| 320 | C2×D4 | — | 122 | 1 | no | — |
| 321 | C2×D4 | — | 122 | 1 | no | — |
| 322 | C2×D4 | — | 244 | 1 | no | — |
| 323 | C2×D4 | C22⋊#6923 | 1 | 1 | yes | characteristic |
| 324 | C22×C4 | — | 61 | 1 | no | — |
| 325 | C22×C4 | — | 61 | 1 | no | — |
| 326 | C22×C4 | — | 61 | 1 | no | — |
| 327 | C22×C4 | — | 122 | 1 | no | — |
| 328 | C22×C4 | — | 122 | 1 | no | — |
| 329 | C22×C4 | — | 244 | 1 | no | — |
| 330 | SD16 | — | 488 | 1 | no | — |
| 331 | SD16 | — | 488 | 1 | no | — |
| 332 | D8 | — | 488 | 1 | no | — |
| 333 | D8 | — | 488 | 1 | no | — |
| 334 | M16 | — | 488 | 1 | no | — |
| 335 | M16 | — | 488 | 1 | no | — |
| 336 | C2×C8 | — | 2 | 1 | no | — |
| 337 | C2×C8 | — | 122 | 1 | no | — |
| 338 | C2×C8 | — | 122 | 1 | no | — |
| 339 | C2×C8 | — | 122 | 1 | no | — |
| 340 | C2×C8 | — | 122 | 1 | no | — |
| 341 | C2×C8 | — | 122 | 1 | no | — |
| 342 | C2×C8 | — | 488 | 1 | no | — |
| 343 | C2×C8 | — | 488 | 1 | no | — |
| 344 | C2×C8 | — | 488 | 1 | no | — |
| 345 | C2×C8 | — | 244 | 1 | no | — |
| 346 | C2×C8 | — | 244 | 1 | no | — |
| 347 | C4⋊C4 | — | 2 | 1 | no | — |
| 348 | C4⋊C4 | — | 2 | 1 | no | — |
| 349 | C4⋊C4 | — | 122 | 1 | no | — |
| 350 | C4⋊C4 | — | 122 | 1 | no | — |
| 351 | C22⋊C4 | — | 2 | 1 | no | — |
| 352 | C22⋊C4 | — | 2 | 1 | no | — |
| 353 | C22⋊C4 | — | 122 | 1 | no | — |
| 354 | C22⋊C4 | — | 122 | 1 | no | — |
| 355 | C22⋊C4 | — | 244 | 1 | no | — |
| 356 | C22⋊C4 | — | 244 | 1 | no | — |
| 357 | C42 | — | 61 | 1 | no | — |
| 358 | C42 | — | 61 | 1 | no | — |
| 359 | C42 | — | 61 | 1 | no | — |
| 360 | C42 | C22×#6923 | 1 | 1 | yes | characteristic |
| 361 | C23 | — | 2 | 1 | no | — |
| 362 | C23 | — | 61 | 1 | no | — |
| 363 | C23 | — | 122 | 1 | no | — |
| 364 | C23 | — | 244 | 1 | no | — |
| 365 | Q8 | — | 4 | 1 | no | — |
| 366 | Q8 | — | 8 | 1 | no | — |
| 367 | Q8 | — | 244 | 1 | no | — |
| 368 | D4 | — | 4 | 1 | no | — |
| 369 | D4 | — | 488 | 1 | no | — |
| 370 | D4 | — | 488 | 1 | no | — |
| 371 | D4 | — | 488 | 2 | no | — |
| 372 | D4 | — | 488 | 1 | no | — |
| 373 | D4 | — | 488 | 1 | no | — |
| 374 | D4 | — | 244 | 1 | no | — |
| 375 | D4 | — | 244 | 1 | no | — |
| 376 | D4 | — | 244 | 2 | no | — |
| 377 | D4 | — | 244 | 1 | no | — |
| 378 | D4 | — | 244 | 1 | no | — |
| 379 | D4 | — | 244 | 1 | no | — |
| 380 | C2×C4 | — | 2 | 1 | no | — |
| 381 | C2×C4 | — | 4 | 1 | no | — |
| 382 | C2×C4 | — | 61 | 1 | no | — |
| 383 | C2×C4 | — | 61 | 1 | no | — |
| 384 | C2×C4 | — | 61 | 1 | no | — |
| 385 | C2×C4 | — | 122 | 1 | no | — |
| 386 | C2×C4 | — | 122 | 1 | no | — |
| 387 | C2×C4 | — | 122 | 1 | no | — |
| 388 | C2×C4 | — | 488 | 1 | no | — |
| 389 | C2×C4 | — | 488 | 1 | no | — |
| 390 | C2×C4 | — | 244 | 1 | no | — |
| 391 | C2×C4 | — | 244 | 1 | no | — |
| 392 | C2×C4 | — | 244 | 1 | no | — |
| 393 | C2×C4 | — | 244 | 1 | no | — |
| 394 | C2×C4 | — | 244 | 1 | no | — |
| 395 | C2×C4 | — | 244 | 1 | no | — |
| 396 | C2×C4 | C2×C22⋊#6923 | 1 | 1 | yes | characteristic |
| 397 | C2×C4 | D4×#6923 | 1 | 1 | yes | characteristic |
| 398 | C2×C4 | D4×#6923 | 1 | 1 | yes | characteristic |
| 399 | C8 | — | 4 | 1 | no | — |
| 400 | C8 | — | 488 | 1 | no | — |
| 401 | C8 | — | 488 | 1 | no | — |
| 402 | C8 | — | 244 | 1 | no | — |
| 403 | C8 | — | 244 | 1 | no | — |
| 404 | C8 | — | 244 | 1 | no | — |
| 405 | C8 | — | 244 | 1 | no | — |
| 406 | C8 | — | 244 | 1 | no | — |
| 407 | C22 | — | 4 | 1 | no | — |
| 408 | C22 | — | 4 | 1 | no | — |
| 409 | C22 | — | 4 | 1 | no | — |
| 410 | C22 | — | 122 | 1 | no | — |
| 411 | C22 | — | 122 | 1 | no | — |
| 412 | C22 | — | 122 | 1 | no | — |
| 413 | C22 | — | 488 | 1 | no | — |
| 414 | C22 | — | 488 | 1 | no | — |
| 415 | C22 | — | 488 | 1 | no | — |
| 416 | C22 | — | 244 | 1 | no | — |
| 417 | C22 | — | 244 | 1 | no | — |
| 418 | C22 | — | 244 | 1 | no | — |
| 419 | C22 | #16840710 | 1 | 1 | yes | characteristic |
| 420 | C4 | — | 2 | 1 | no | — |
| 421 | C4 | — | 2 | 1 | no | — |
| 422 | C4 | — | 2 | 1 | no | — |
| 423 | C4 | — | 4 | 1 | no | — |
| 424 | C4 | — | 8 | 1 | no | — |
| 425 | C4 | — | 61 | 1 | no | — |
| 426 | C4 | — | 61 | 1 | no | — |
| 427 | C4 | — | 122 | 1 | no | — |
| 428 | C4 | — | 122 | 1 | no | — |
| 429 | C4 | — | 244 | 1 | no | — |
| 430 | C2 | — | 8 | 1 | no | — |
| 431 | C2 | — | 976 | 1 | no | — |
| 432 | C2 | — | 488 | 1 | no | — |
| 433 | C2 | — | 244 | 1 | no | — |
| 434 | C2 | #21461816 | 1 | 1 | yes | characteristic |
| 435 | C2 | #21461858 | 1 | 1 | yes | characteristic |
| 436 | C2 | #21461864 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #21462710 | C2 | semidirect |
| 2. #21461339 | C2 | semidirect |
| 3. #21461309 | C2 | semidirect |
| 4. #21461126 | C2 | semidirect |
| 5. #21460683 | C2 | semidirect |
| 6. #21460675 | C2 | semidirect |
| 253. C61 | #9371 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21462710 | 2 |
| #21461339 | 2 |
| #21461309 | 2 |
| #21461126 | 2 |
| #21460683 | 2 |
| #21460675 | 2 |
| #21456815 | 2 |
| #9371 | 61 |