← #30549948
Subgroups — #30549948
Order 15616.
2010 conjugacy classes of subgroups.
The subgroup lattice has 394 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #21459116 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #21456530 | C2 | 1 | 8 | yes | maximal, complemented |
| 3 | #21456519 | C2 | 1 | 8 | yes | maximal, complemented |
| 4 | #21456265 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #21456167 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #21455401 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #21454619 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | C2×#97×D61 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | C61×#3162 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C2×#14519799 | C22 | 1 | 4 | yes | — |
| 11 | C22×C8×D61 | C22 | 1 | 2 | yes | — |
| 12 | #16840317 | C22 | 1 | 4 | yes | — |
| 13 | #16840313 | C22 | 1 | 4 | yes | — |
| 14 | #16840312 | C22 | 1 | 2 | yes | — |
| 15 | #16840299 | — | 2 | 4 | no | — |
| 16 | #16840298 | — | 2 | 4 | no | — |
| 17 | #16840297 | C22 | 1 | 8 | yes | — |
| 18 | #16840275 | — | 2 | 4 | no | — |
| 19 | #16840274 | C22 | 1 | 4 | yes | — |
| 20 | C4×#11758226 | — | 2 | 4 | no | — |
| 21 | #16840230 | C22 | 1 | 4 | yes | — |
| 22 | C2×C42×D61 | C22 | 1 | 1 | yes | characteristic |
| 23 | #16840156 | C22 | 1 | 4 | yes | complemented |
| 24 | #16840151 | C22 | 1 | 4 | yes | complemented |
| 25 | #16840132 | C22 | 1 | 4 | yes | complemented |
| 26 | #16840128 | C22 | 1 | 4 | yes | complemented |
| 27 | #16840124 | C22 | 1 | 8 | yes | complemented |
| 28 | #16840004 | C22 | 1 | 8 | yes | — |
| 29 | #16839999 | C22 | 1 | 8 | yes | — |
| 30 | #16839992 | C22 | 1 | 16 | yes | — |
| 31 | #16839873 | C22 | 1 | 8 | yes | complemented |
| 32 | #16839868 | C22 | 1 | 8 | yes | complemented |
| 33 | #16839861 | C22 | 1 | 16 | yes | complemented |
| 34 | #16839756 | C22 | 1 | 8 | yes | — |
| 35 | C2×#14519688 | C22 | 1 | 1 | yes | characteristic |
| 36 | C2×#14519687 | C22 | 1 | 2 | yes | — |
| 37 | #97×D61 | C22 | 1 | 8 | yes | — |
| 38 | C61×#533 | C22 | 1 | 2 | yes | — |
| 39 | C61×#501 | C22 | 1 | 8 | yes | complemented |
| 40 | C61×#427 | C22 | 1 | 4 | yes | — |
| 41 | C2×#97×C61 | C22 | 1 | 1 | yes | characteristic |
| 42 | C2×#11758226 | — | 2 | 4 | no | — |
| 43 | C2×#11758222 | C23 | 1 | 4 | yes | — |
| 44 | C22×C4×D61 | D4 | 1 | 2 | yes | — |
| 45 | C22×C4×D61 | C23 | 1 | 1 | yes | characteristic |
| 46 | #14519799 | — | 2 | 16 | no | — |
| 47 | C2×Dic244 | C23 | 1 | 4 | yes | — |
| 48 | C2×#11758190 | C23 | 1 | 8 | yes | — |
| 49 | C2×D488 | C23 | 1 | 4 | yes | — |
| 50 | C22×#92418 | C23 | 1 | 2 | yes | — |
| 51 | C2×C8×D61 | — | 2 | 8 | no | — |
| 52 | C2×C8×D61 | C23 | 1 | 8 | yes | — |
| 53 | #14519777 | C23 | 1 | 2 | yes | — |
| 54 | #14519774 | C23 | 1 | 2 | yes | — |
| 55 | #14519772 | — | 2 | 8 | no | — |
| 56 | #14519768 | — | 2 | 4 | no | — |
| 57 | #14519766 | — | 2 | 4 | no | — |
| 58 | #14519765 | C23 | 1 | 4 | yes | — |
| 59 | #14519762 | — | 2 | 8 | no | — |
| 60 | #14519761 | — | 2 | 4 | no | — |
| 61 | #14519757 | C23 | 1 | 8 | yes | — |
| 62 | #14519753 | — | 2 | 4 | no | — |
| 63 | #14519752 | — | 2 | 4 | no | — |
| 64 | #14519752 | C23 | 1 | 8 | yes | — |
| 65 | #14519751 | — | 2 | 4 | no | — |
| 66 | #14519747 | — | 2 | 4 | no | — |
| 67 | Q8×Dic61 | — | 2 | 4 | no | — |
| 68 | #14519742 | C23 | 1 | 8 | yes | — |
| 69 | C4×D244 | — | 2 | 8 | no | — |
| 70 | C4×D244 | — | 2 | 4 | no | — |
| 71 | #14519739 | — | 2 | 8 | no | — |
| 72 | #14519739 | — | 2 | 4 | no | — |
| 73 | #14519739 | C23 | 1 | 8 | yes | — |
| 74 | #14519737 | — | 2 | 8 | no | — |
| 75 | #14519735 | — | 2 | 4 | no | — |
| 76 | #14519735 | — | 2 | 8 | no | — |
| 77 | #14519734 | — | 2 | 4 | no | — |
| 78 | C2×C4×Dic61 | D4 | 1 | 2 | yes | — |
| 79 | C2×C4×Dic61 | C23 | 1 | 1 | yes | characteristic |
| 80 | C42×D61 | — | 2 | 4 | no | — |
| 81 | C42×D61 | D4 | 1 | 4 | yes | — |
| 82 | C42×D61 | C23 | 1 | 4 | yes | — |
| 83 | #14519700 | C23 | 1 | 16 | yes | — |
| 84 | #14519697 | C23 | 1 | 16 | yes | — |
| 85 | #14519688 | C23 | 1 | 4 | yes | — |
| 86 | #14519687 | C23 | 1 | 8 | yes | — |
| 87 | C22×C8×C61 | C23 | 1 | 2 | yes | — |
| 88 | C4⋊Q8×C61 | C23 | 1 | 4 | yes | — |
| 89 | #125×C61 | C23 | 1 | 4 | yes | — |
| 90 | C22⋊Q8×C61 | — | 2 | 4 | no | — |
| 91 | C4×Q8×C61 | — | 2 | 4 | no | — |
| 92 | #117×C61 | C23 | 1 | 4 | yes | — |
| 93 | C2×C42×C61 | C23 | 1 | 1 | yes | characteristic |
| 94 | #107×C61 | C23 | 1 | 8 | yes | — |
| 95 | #106×C61 | C23 | 1 | 8 | yes | — |
| 96 | #97×C61 | C23 | 1 | 4 | yes | — |
| 97 | C23×D61 | C2×D4 | 1 | 1 | yes | characteristic |
| 98 | C2×Q8×C61 | — | 2 | 4 | no | — |
| 99 | C22×C4×C61 | C2×D4 | 1 | 2 | yes | — |
| 100 | C22×C4×C61 | C24 | 1 | 1 | yes | characteristic |
| 101 | C2×C22⋊D61 | — | 2 | 4 | no | — |
| 102 | C22×Dic61 | C2×D4 | 1 | 1 | yes | characteristic |
| 103 | C22×Dic61 | C2×D4 | 1 | 2 | yes | — |
| 104 | #11758226 | — | 4 | 16 | no | — |
| 105 | #11758222 | — | 2 | 16 | no | — |
| 106 | C2×D244 | — | 2 | 8 | no | — |
| 107 | C2×D244 | — | 2 | 4 | no | — |
| 108 | C2×D244 | C24 | 1 | 4 | yes | — |
| 109 | C2×C4×D61 | — | 2 | 4 | no | — |
| 110 | C2×C4×D61 | — | 2 | 4 | no | — |
| 111 | C2×C4×D61 | — | 2 | 8 | no | — |
| 112 | C2×C4×D61 | — | 4 | 4 | no | — |
| 113 | C2×C4×D61 | C2×D4 | 1 | 4 | yes | — |
| 114 | C2×C4×D61 | C2×D4 | 1 | 2 | yes | — |
| 115 | C2×C4×D61 | C2×D4 | 1 | 4 | yes | — |
| 116 | C2×C4×D61 | C24 | 1 | 2 | yes | — |
| 117 | C2×Dic122 | C24 | 1 | 4 | yes | — |
| 118 | C2×C8×C61 | #41 | 1 | 8 | yes | complemented |
| 119 | C2×C8×C61 | C24 | 1 | 4 | yes | — |
| 120 | C4⋊C4×C61 | — | 2 | 8 | no | — |
| 121 | C4⋊C4×C61 | — | 2 | 4 | no | — |
| 122 | C4⋊C4×C61 | C24 | 1 | 8 | yes | — |
| 123 | C22⋊C4×C61 | — | 2 | 4 | no | — |
| 124 | C42×C61 | — | 2 | 4 | no | — |
| 125 | C42×C61 | C2×D4 | 1 | 2 | yes | — |
| 126 | C42×C61 | C24 | 1 | 2 | yes | — |
| 127 | #11758198 | — | 2 | 8 | no | — |
| 128 | #11758198 | — | 2 | 8 | no | — |
| 129 | #11758198 | — | 2 | 8 | no | — |
| 130 | #11758198 | — | 2 | 8 | no | — |
| 131 | C4⋊Dic61 | — | 2 | 4 | no | — |
| 132 | C4⋊Dic61 | — | 2 | 8 | no | — |
| 133 | #11758196 | — | 2 | 8 | no | — |
| 134 | C4×Dic61 | — | 2 | 8 | no | — |
| 135 | C4×Dic61 | C2×D4 | 1 | 2 | yes | — |
| 136 | C4×Dic61 | C2×D4 | 1 | 4 | yes | — |
| 137 | C4×Dic61 | C2×D4 | 1 | 4 | yes | — |
| 138 | C4×Dic61 | C24 | 1 | 2 | yes | — |
| 139 | C2×#92418 | — | 2 | 4 | no | — |
| 140 | C2×#92418 | C24 | 1 | 4 | yes | — |
| 141 | Dic244 | — | 2 | 8 | no | — |
| 142 | D488 | — | 2 | 8 | no | — |
| 143 | #11758190 | — | 2 | 16 | no | — |
| 144 | C8×D61 | — | 2 | 16 | no | — |
| 145 | C23×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 146 | C22×D61 | — | 2 | 2 | no | — |
| 147 | C22×D61 | — | 2 | 4 | no | — |
| 148 | C22×D61 | — | 2 | 4 | no | — |
| 149 | C22×D61 | C22×D4 | 1 | 2 | yes | — |
| 150 | Q8×C61 | — | 4 | 8 | no | — |
| 151 | C2×C4×C61 | — | 2 | 8 | no | — |
| 152 | C2×C4×C61 | — | 4 | 2 | no | — |
| 153 | C2×C4×C61 | C22×D4 | 1 | 4 | yes | — |
| 154 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 155 | C2×C4×C61 | C2×#41 | 1 | 4 | yes | — |
| 156 | C2×C4×C61 | C25 | 1 | 1 | yes | characteristic |
| 157 | C22⋊D61 | — | 4 | 8 | no | — |
| 158 | C2×Dic61 | — | 2 | 2 | no | — |
| 159 | C2×Dic61 | — | 2 | 4 | no | — |
| 160 | C2×Dic61 | — | 4 | 2 | no | — |
| 161 | C2×Dic61 | C22×D4 | 1 | 4 | yes | — |
| 162 | C2×Dic61 | C22×D4 | 1 | 2 | yes | — |
| 163 | D244 | — | 2 | 8 | no | — |
| 164 | D244 | — | 4 | 8 | no | — |
| 165 | D244 | — | 4 | 16 | no | — |
| 166 | C4×D61 | — | 2 | 8 | no | — |
| 167 | C4×D61 | — | 2 | 4 | no | — |
| 168 | C4×D61 | — | 2 | 4 | no | — |
| 169 | C4×D61 | — | 4 | 4 | no | — |
| 170 | C4×D61 | — | 4 | 16 | no | — |
| 171 | C4×D61 | — | 4 | 8 | no | — |
| 172 | Dic122 | — | 2 | 8 | no | — |
| 173 | C8×C61 | C2×#41 | 1 | 8 | yes | — |
| 174 | #92418 | — | 2 | 4 | no | — |
| 175 | #60688 | — | 61 | 1 | no | maximal, Sylow |
| 176 | C22×C61 | — | 2 | 2 | no | — |
| 177 | C22×C61 | #532 | 1 | 2 | yes | — |
| 178 | C22×C61 | C23×D4 | 1 | 1 | yes | characteristic |
| 179 | C2×D61 | — | 2 | 8 | no | — |
| 180 | C2×D61 | — | 2 | 2 | no | — |
| 181 | C2×D61 | — | 2 | 2 | no | — |
| 182 | C2×D61 | — | 4 | 4 | no | — |
| 183 | C2×D61 | — | 4 | 8 | no | — |
| 184 | C2×D61 | #575 | 1 | 4 | yes | — |
| 185 | C4×C61 | — | 2 | 4 | no | — |
| 186 | C4×C61 | — | 4 | 8 | no | — |
| 187 | C4×C61 | #532 | 1 | 2 | yes | — |
| 188 | C4×C61 | C22×#41 | 1 | 2 | yes | — |
| 189 | Dic61 | — | 2 | 2 | no | — |
| 190 | Dic61 | — | 2 | 4 | no | — |
| 191 | Dic61 | — | 4 | 4 | no | — |
| 192 | #3444 | — | 61 | 2 | no | — |
| 193 | #3181 | — | 61 | 8 | no | — |
| 194 | #3180 | — | 61 | 8 | no | — |
| 195 | #3162 | D61 | 1 | 1 | yes | characteristic, complemented |
| 196 | #3150 | — | 61 | 1 | no | — |
| 197 | #3135 | — | 61 | 2 | no | — |
| 198 | #3050 | — | 61 | 4 | no | — |
| 199 | #2943 | — | 61 | 4 | no | — |
| 200 | C22×#97 | — | 61 | 1 | no | — |
| 201 | C2×C61 | — | 2 | 2 | no | — |
| 202 | C2×C61 | C2×#532 | 1 | 1 | yes | characteristic |
| 203 | C2×C61 | C2×#575 | 1 | 2 | yes | — |
| 204 | D61 | — | 2 | 4 | no | — |
| 205 | D61 | — | 8 | 4 | no | — |
| 206 | C2×#135 | — | 61 | 4 | no | — |
| 207 | C23×C8 | — | 61 | 2 | no | — |
| 208 | #533 | — | 61 | 4 | no | — |
| 209 | #533 | C2×D61 | 1 | 2 | yes | — |
| 210 | #532 | — | 61 | 4 | no | — |
| 211 | #532 | — | 61 | 2 | no | — |
| 212 | #529 | — | 61 | 8 | no | — |
| 213 | #529 | — | 122 | 4 | no | — |
| 214 | #529 | — | 122 | 4 | no | — |
| 215 | #525 | — | 61 | 4 | no | — |
| 216 | #525 | — | 122 | 4 | no | — |
| 217 | C4×#41 | — | 61 | 4 | no | — |
| 218 | C4×#41 | — | 122 | 4 | no | — |
| 219 | C22×C42 | — | 61 | 1 | no | — |
| 220 | #501 | C2×D61 | 1 | 8 | yes | complemented |
| 221 | #497 | — | 61 | 4 | no | — |
| 222 | #496 | — | 61 | 4 | no | — |
| 223 | #491 | — | 61 | 4 | no | — |
| 224 | #490 | — | 61 | 4 | no | — |
| 225 | #489 | — | 61 | 8 | no | — |
| 226 | #467 | — | 61 | 8 | no | — |
| 227 | #466 | — | 61 | 8 | no | — |
| 228 | #465 | — | 61 | 16 | no | — |
| 229 | #442 | — | 61 | 8 | no | — |
| 230 | #441 | — | 61 | 8 | no | — |
| 231 | #440 | — | 61 | 16 | no | — |
| 232 | #427 | C2×D61 | 1 | 4 | yes | — |
| 233 | #416 | — | 61 | 8 | no | — |
| 234 | C2×#97 | — | 61 | 2 | no | — |
| 235 | C2×#97 | — | 61 | 1 | no | — |
| 236 | C2×#97 | — | 61 | 8 | no | — |
| 237 | C2×#97 | C2×D61 | 1 | 1 | yes | characteristic |
| 238 | C61 | #60688 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 239 | C2×#41 | — | 61 | 4 | no | — |
| 240 | C2×#41 | — | 122 | 4 | no | — |
| 241 | C23×C4 | — | 61 | 1 | no | — |
| 242 | C23×C4 | — | 61 | 2 | no | — |
| 243 | #135 | — | 122 | 16 | no | — |
| 244 | C2×Q16 | — | 61 | 4 | no | — |
| 245 | C2×SD16 | — | 61 | 8 | no | — |
| 246 | C2×D8 | — | 61 | 4 | no | — |
| 247 | C22×C8 | — | 61 | 2 | no | — |
| 248 | C22×C8 | — | 61 | 8 | no | — |
| 249 | C22×C8 | — | 122 | 8 | no | — |
| 250 | C22×C8 | C22×D61 | 1 | 2 | yes | — |
| 251 | C4⋊Q8 | — | 61 | 2 | no | — |
| 252 | C4⋊Q8 | C22×D61 | 1 | 4 | yes | — |
| 253 | #127 | — | 61 | 2 | no | — |
| 254 | #126 | — | 122 | 8 | no | — |
| 255 | #125 | — | 122 | 4 | no | — |
| 256 | #125 | C22×D61 | 1 | 4 | yes | — |
| 257 | #124 | — | 61 | 4 | no | — |
| 258 | #124 | — | 122 | 4 | no | — |
| 259 | #123 | — | 122 | 4 | no | — |
| 260 | #123 | — | 122 | 8 | no | — |
| 261 | C22⋊Q8 | — | 2 | 4 | no | — |
| 262 | C22⋊Q8 | — | 61 | 8 | no | — |
| 263 | C22⋊Q8 | — | 122 | 4 | no | — |
| 264 | #121 | — | 61 | 8 | no | — |
| 265 | #121 | — | 122 | 4 | no | — |
| 266 | #121 | — | 122 | 4 | no | — |
| 267 | #120 | — | 122 | 4 | no | — |
| 268 | C4×Q8 | — | 2 | 4 | no | — |
| 269 | C4×Q8 | — | 61 | 8 | no | — |
| 270 | C4×Q8 | — | 122 | 4 | no | — |
| 271 | C4×D4 | — | 61 | 8 | no | — |
| 272 | C4×D4 | — | 122 | 8 | no | — |
| 273 | C4×D4 | — | 122 | 4 | no | — |
| 274 | C4×D4 | — | 122 | 8 | no | — |
| 275 | C4×D4 | — | 122 | 8 | no | — |
| 276 | C4×D4 | — | 122 | 4 | no | — |
| 277 | #117 | — | 122 | 4 | no | — |
| 278 | #117 | — | 122 | 8 | no | — |
| 279 | #117 | — | 122 | 4 | no | — |
| 280 | #117 | C22×D61 | 1 | 4 | yes | — |
| 281 | C2×C42 | — | 61 | 2 | no | — |
| 282 | C2×C42 | — | 61 | 1 | no | — |
| 283 | C2×C42 | — | 61 | 4 | no | — |
| 284 | C2×C42 | — | 61 | 4 | no | — |
| 285 | C2×C42 | — | 122 | 4 | no | — |
| 286 | C2×C42 | C22×D61 | 1 | 1 | yes | characteristic |
| 287 | #107 | C22×D61 | 1 | 8 | yes | — |
| 288 | #106 | C22×D61 | 1 | 8 | yes | — |
| 289 | #103 | — | 61 | 16 | no | — |
| 290 | #102 | — | 61 | 16 | no | — |
| 291 | #97 | — | 61 | 8 | no | — |
| 292 | #97 | — | 61 | 4 | no | — |
| 293 | #97 | C22×D61 | 1 | 4 | yes | — |
| 294 | C24 | — | 61 | 1 | no | — |
| 295 | #41 | — | 122 | 16 | no | — |
| 296 | #41 | — | 244 | 16 | no | — |
| 297 | C2×Q8 | — | 2 | 4 | no | — |
| 298 | C2×Q8 | — | 61 | 4 | no | — |
| 299 | C2×D4 | — | 61 | 4 | no | — |
| 300 | C2×D4 | — | 122 | 8 | no | — |
| 301 | C2×D4 | — | 122 | 4 | no | — |
| 302 | C2×D4 | — | 122 | 4 | no | — |
| 303 | C22×C4 | — | 61 | 1 | no | — |
| 304 | C22×C4 | — | 61 | 2 | no | — |
| 305 | C22×C4 | — | 61 | 4 | no | — |
| 306 | C22×C4 | — | 61 | 2 | no | — |
| 307 | C22×C4 | — | 61 | 2 | no | — |
| 308 | C22×C4 | — | 61 | 4 | no | — |
| 309 | C22×C4 | — | 122 | 8 | no | — |
| 310 | C22×C4 | — | 122 | 4 | no | — |
| 311 | C22×C4 | — | 122 | 4 | no | — |
| 312 | C22×C4 | — | 244 | 4 | no | — |
| 313 | C22×C4 | D4×D61 | 1 | 2 | yes | — |
| 314 | C22×C4 | C23×D61 | 1 | 1 | yes | characteristic |
| 315 | Q16 | — | 122 | 8 | no | — |
| 316 | SD16 | — | 122 | 16 | no | — |
| 317 | D8 | — | 122 | 8 | no | — |
| 318 | C2×C8 | — | 61 | 4 | no | — |
| 319 | C2×C8 | — | 122 | 4 | no | — |
| 320 | C2×C8 | — | 122 | 16 | no | — |
| 321 | C2×C8 | #11758226 | 1 | 8 | yes | complemented |
| 322 | C2×C8 | C23×D61 | 1 | 4 | yes | — |
| 323 | C4⋊C4 | — | 2 | 4 | no | — |
| 324 | C4⋊C4 | — | 2 | 8 | no | — |
| 325 | C4⋊C4 | — | 122 | 8 | no | — |
| 326 | C4⋊C4 | — | 122 | 8 | no | — |
| 327 | C4⋊C4 | — | 122 | 4 | no | — |
| 328 | C4⋊C4 | C23×D61 | 1 | 8 | yes | — |
| 329 | C22⋊C4 | — | 2 | 4 | no | — |
| 330 | C22⋊C4 | — | 122 | 8 | no | — |
| 331 | C22⋊C4 | — | 122 | 8 | no | — |
| 332 | C22⋊C4 | — | 122 | 8 | no | — |
| 333 | C22⋊C4 | — | 122 | 8 | no | — |
| 334 | C42 | — | 2 | 4 | no | — |
| 335 | C42 | — | 61 | 4 | no | — |
| 336 | C42 | — | 61 | 4 | no | — |
| 337 | C42 | — | 61 | 2 | no | — |
| 338 | C42 | — | 61 | 2 | no | — |
| 339 | C42 | — | 122 | 8 | no | — |
| 340 | C42 | D4×D61 | 1 | 2 | yes | — |
| 341 | C42 | C23×D61 | 1 | 2 | yes | — |
| 342 | C23 | — | 61 | 2 | no | — |
| 343 | C23 | — | 122 | 4 | no | — |
| 344 | C23 | — | 122 | 2 | no | — |
| 345 | C23 | — | 122 | 4 | no | — |
| 346 | C23 | C2×D4×D61 | 1 | 1 | yes | characteristic |
| 347 | Q8 | — | 4 | 8 | no | — |
| 348 | Q8 | — | 122 | 8 | no | — |
| 349 | D4 | — | 122 | 8 | no | — |
| 350 | D4 | — | 244 | 8 | no | — |
| 351 | D4 | — | 244 | 16 | no | — |
| 352 | D4 | — | 244 | 8 | no | — |
| 353 | C2×C4 | — | 2 | 8 | no | — |
| 354 | C2×C4 | — | 4 | 2 | no | — |
| 355 | C2×C4 | — | 61 | 4 | no | — |
| 356 | C2×C4 | — | 61 | 2 | no | — |
| 357 | C2×C4 | — | 122 | 8 | no | — |
| 358 | C2×C4 | — | 122 | 2 | no | — |
| 359 | C2×C4 | — | 122 | 4 | no | — |
| 360 | C2×C4 | — | 122 | 4 | no | — |
| 361 | C2×C4 | — | 122 | 4 | no | — |
| 362 | C2×C4 | — | 244 | 4 | no | — |
| 363 | C2×C4 | — | 244 | 16 | no | — |
| 364 | C2×C4 | — | 244 | 2 | no | — |
| 365 | C2×C4 | — | 244 | 8 | no | — |
| 366 | C2×C4 | C2×D4×D61 | 1 | 4 | yes | — |
| 367 | C2×C4 | C2×D4×D61 | 1 | 1 | yes | characteristic |
| 368 | C2×C4 | C2×#11758226 | 1 | 4 | yes | — |
| 369 | C2×C4 | C24×D61 | 1 | 1 | yes | characteristic |
| 370 | C8 | — | 122 | 4 | no | — |
| 371 | C8 | C2×#11758226 | 1 | 8 | yes | — |
| 372 | C22 | — | 2 | 2 | no | — |
| 373 | C22 | — | 61 | 4 | no | — |
| 374 | C22 | — | 122 | 8 | no | — |
| 375 | C22 | — | 122 | 2 | no | — |
| 376 | C22 | — | 122 | 2 | no | — |
| 377 | C22 | — | 244 | 8 | no | — |
| 378 | C22 | — | 244 | 4 | no | — |
| 379 | C22 | #16840313 | 1 | 2 | yes | — |
| 380 | C22 | C22×D4×D61 | 1 | 1 | yes | characteristic |
| 381 | C4 | — | 2 | 4 | no | — |
| 382 | C4 | — | 4 | 8 | no | — |
| 383 | C4 | — | 122 | 4 | no | — |
| 384 | C4 | — | 122 | 2 | no | — |
| 385 | C4 | — | 244 | 4 | no | — |
| 386 | C4 | #16840313 | 1 | 2 | yes | — |
| 387 | C4 | C22×#11758226 | 1 | 2 | yes | — |
| 388 | C2 | — | 2 | 2 | no | — |
| 389 | C2 | — | 122 | 4 | no | — |
| 390 | C2 | — | 488 | 4 | no | — |
| 391 | C2 | C2×#16840313 | 1 | 1 | yes | characteristic |
| 392 | C2 | #575×D61 | 1 | 2 | yes | — |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta