← #28576481
Subgroups — #28576481
Order 15104.
906 conjugacy classes of subgroups.
The subgroup lattice has 358 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #21434675 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #21434671 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #21434522 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #21423769 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #21423766 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #21423764 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #21423761 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | C2×#16837124 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | C59×#3169 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C2×#14273747 | — | 2 | 4 | no | — |
| 11 | #16837952 | C22 | 1 | 2 | yes | — |
| 12 | #16837807 | C22 | 1 | 1 | yes | characteristic |
| 13 | #16837805 | C22 | 1 | 2 | yes | — |
| 14 | #16837784 | — | 2 | 4 | no | — |
| 15 | #16837781 | C22 | 1 | 2 | yes | — |
| 16 | #16837779 | C22 | 1 | 1 | yes | characteristic |
| 17 | #16837778 | C22 | 1 | 2 | yes | — |
| 18 | #16837778 | C22 | 1 | 2 | yes | — |
| 19 | #16837776 | C22 | 1 | 2 | yes | — |
| 20 | #16837774 | C22 | 1 | 2 | yes | — |
| 21 | #16837750 | C22 | 1 | 2 | yes | — |
| 22 | #16837749 | C22 | 1 | 2 | yes | — |
| 23 | #16837748 | C22 | 1 | 2 | yes | — |
| 24 | #16837638 | — | 2 | 2 | no | — |
| 25 | #16837636 | — | 2 | 4 | no | — |
| 26 | C4×D472 | — | 2 | 2 | no | — |
| 27 | C4×#11745669 | — | 2 | 4 | no | — |
| 28 | C2×C4×C59⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×C4×C59⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 30 | #16837124 | C22 | 1 | 2 | yes | — |
| 31 | #16837124 | C22 | 1 | 2 | yes | — |
| 32 | C59×#532 | C22 | 1 | 2 | yes | — |
| 33 | C59×#500 | C22 | 1 | 1 | yes | characteristic |
| 34 | C59×#493 | C22 | 1 | 1 | yes | characteristic |
| 35 | C59×#486 | C22 | 1 | 2 | yes | — |
| 36 | C59×#466 | — | 2 | 2 | no | — |
| 37 | C4×D8×C59 | — | 2 | 2 | no | — |
| 38 | C2×C4×C8×C59 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×#11745685 | — | 2 | 2 | no | — |
| 40 | #14273747 | — | 4 | 16 | no | — |
| 41 | C2×#11745672 | — | 2 | 4 | no | — |
| 42 | C2×#11745670 | — | 2 | 4 | no | — |
| 43 | C2×#11745671 | — | 2 | 4 | no | — |
| 44 | C2×D472 | — | 2 | 2 | no | — |
| 45 | C2×#11745669 | — | 2 | 4 | no | — |
| 46 | C2×#11745669 | — | 2 | 4 | no | — |
| 47 | C22×C59⋊C8 | D4 | 1 | 2 | yes | — |
| 48 | C22×C59⋊C8 | D4 | 1 | 2 | yes | — |
| 49 | #14273727 | C23 | 1 | 2 | yes | — |
| 50 | #14273724 | C23 | 1 | 2 | yes | — |
| 51 | #14273715 | — | 2 | 2 | no | — |
| 52 | #14273701 | — | 2 | 2 | no | — |
| 53 | #14273701 | — | 2 | 2 | no | — |
| 54 | C4×D236 | — | 2 | 2 | no | — |
| 55 | C4×D236 | — | 2 | 2 | no | — |
| 56 | #14273661 | — | 2 | 2 | no | — |
| 57 | #14273660 | — | 2 | 4 | no | — |
| 58 | #14273649 | — | 2 | 4 | no | — |
| 59 | #14273648 | — | 2 | 4 | no | — |
| 60 | #14273647 | — | 2 | 4 | no | — |
| 61 | C4×C59⋊C8 | D4 | 1 | 2 | yes | — |
| 62 | C4×C59⋊C8 | D4 | 1 | 2 | yes | — |
| 63 | C4×C59⋊C8 | C23 | 1 | 2 | yes | — |
| 64 | C4×C59⋊C8 | C23 | 1 | 2 | yes | — |
| 65 | C2×#41×C59 | — | 2 | 2 | no | — |
| 66 | C2×D8×C59 | — | 2 | 2 | no | — |
| 67 | C22×C8×C59 | D4 | 1 | 2 | yes | — |
| 68 | C4⋊Q8×C59 | C23 | 1 | 2 | yes | — |
| 69 | #127×C59 | C23 | 1 | 2 | yes | — |
| 70 | #124×C59 | — | 2 | 2 | no | — |
| 71 | #121×C59 | — | 2 | 2 | no | — |
| 72 | #121×C59 | — | 2 | 2 | no | — |
| 73 | C4×D4×C59 | — | 2 | 2 | no | — |
| 74 | C4×D4×C59 | — | 2 | 2 | no | — |
| 75 | C2×C42×C59 | C23 | 1 | 1 | yes | characteristic |
| 76 | #107×C59 | — | 2 | 2 | no | — |
| 77 | #102×C59 | — | 2 | 4 | no | — |
| 78 | C4×C8×C59 | D4 | 1 | 2 | yes | — |
| 79 | C4×C8×C59 | C23 | 1 | 1 | yes | characteristic |
| 80 | C4×C8×C59 | C23 | 1 | 1 | yes | characteristic |
| 81 | #41×C59 | — | 4 | 8 | no | — |
| 82 | C2×Q8×C59 | — | 2 | 2 | no | — |
| 83 | C2×D4×C59 | — | 2 | 2 | no | — |
| 84 | C2×D4×C59 | — | 2 | 2 | no | — |
| 85 | C2×D4×C59 | — | 2 | 2 | no | — |
| 86 | C2×D4×C59 | — | 4 | 2 | no | — |
| 87 | C22×C4×C59 | — | 4 | 2 | no | — |
| 88 | C22×C4×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 89 | C22×C4×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 90 | C22×C4×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 91 | C2×C22⋊D59 | — | 4 | 2 | no | — |
| 92 | #11745685 | — | 4 | 8 | no | — |
| 93 | C2×D236 | — | 2 | 2 | no | — |
| 94 | C2×D236 | — | 2 | 2 | no | — |
| 95 | C2×D236 | — | 2 | 2 | no | — |
| 96 | C2×C4×D59 | — | 4 | 2 | no | — |
| 97 | C2×Dic118 | — | 2 | 2 | no | — |
| 98 | D8×C59 | — | 4 | 4 | no | — |
| 99 | C2×C8×C59 | — | 4 | 2 | no | — |
| 100 | C2×C8×C59 | C2×D4 | 1 | 2 | yes | — |
| 101 | C2×C8×C59 | C2×D4 | 1 | 2 | yes | — |
| 102 | C4⋊C4×C59 | — | 2 | 2 | no | — |
| 103 | C4⋊C4×C59 | — | 2 | 2 | no | — |
| 104 | C22⋊C4×C59 | — | 4 | 2 | no | — |
| 105 | C22⋊C4×C59 | — | 4 | 2 | no | — |
| 106 | C42×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 107 | C42×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 108 | C42×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 109 | C42×C59 | C24 | 1 | 1 | yes | characteristic |
| 110 | #11745672 | — | 4 | 8 | no | — |
| 111 | #11745671 | — | 4 | 8 | no | — |
| 112 | #11745670 | — | 4 | 8 | no | — |
| 113 | #11745669 | — | 4 | 8 | no | — |
| 114 | #11745669 | — | 4 | 8 | no | — |
| 115 | (C2×D59)⋊C4 | — | 4 | 2 | no | — |
| 116 | (C2×D59)⋊C4 | — | 4 | 2 | no | — |
| 117 | C4⋊Dic59 | — | 2 | 2 | no | — |
| 118 | C4⋊Dic59 | — | 2 | 2 | no | — |
| 119 | C2×C59⋊C8 | — | 4 | 2 | no | — |
| 120 | C2×C59⋊C8 | D8 | 1 | 8 | yes | complemented |
| 121 | C2×C59⋊C8 | C2×D4 | 1 | 4 | yes | — |
| 122 | C2×C59⋊C8 | C2×D4 | 1 | 4 | yes | — |
| 123 | D472 | — | 4 | 4 | no | — |
| 124 | C23×C59 | — | 4 | 2 | no | — |
| 125 | C23×C59 | #127 | 1 | 1 | yes | characteristic |
| 126 | C22×D59 | — | 4 | 2 | no | — |
| 127 | Q8×C59 | — | 4 | 4 | no | — |
| 128 | D4×C59 | — | 4 | 4 | no | — |
| 129 | D4×C59 | — | 4 | 4 | no | — |
| 130 | D4×C59 | — | 4 | 4 | no | — |
| 131 | D4×C59 | — | 8 | 4 | no | — |
| 132 | C2×C4×C59 | — | 2 | 2 | no | — |
| 133 | C2×C4×C59 | — | 2 | 2 | no | — |
| 134 | C2×C4×C59 | — | 4 | 2 | no | — |
| 135 | C2×C4×C59 | — | 8 | 4 | no | — |
| 136 | C2×C4×C59 | #127 | 1 | 1 | yes | characteristic |
| 137 | C2×C4×C59 | #127 | 1 | 1 | yes | characteristic |
| 138 | C2×C4×C59 | #127 | 1 | 1 | yes | characteristic |
| 139 | C2×C4×C59 | C2×D8 | 1 | 4 | yes | — |
| 140 | C2×C4×C59 | C22×D4 | 1 | 1 | yes | characteristic |
| 141 | C2×C4×C59 | C22×D4 | 1 | 1 | yes | characteristic |
| 142 | C2×C4×C59 | C22×D4 | 1 | 1 | yes | characteristic |
| 143 | C22⋊D59 | — | 8 | 4 | no | — |
| 144 | C2×Dic59 | — | 4 | 2 | no | — |
| 145 | D236 | — | 4 | 4 | no | — |
| 146 | D236 | — | 4 | 4 | no | — |
| 147 | D236 | — | 4 | 4 | no | — |
| 148 | C4×D59 | — | 8 | 4 | no | — |
| 149 | Dic118 | — | 4 | 4 | no | — |
| 150 | C8×C59 | — | 2 | 2 | no | — |
| 151 | C8×C59 | — | 2 | 2 | no | — |
| 152 | C59⋊C8 | — | 2 | 4 | no | — |
| 153 | C59⋊C8 | C2×D8 | 1 | 8 | yes | — |
| 154 | #19616 | — | 59 | 1 | no | maximal, Sylow |
| 155 | C22×C59 | — | 2 | 1 | no | — |
| 156 | C22×C59 | — | 2 | 1 | no | — |
| 157 | C22×C59 | — | 8 | 2 | no | — |
| 158 | C22×C59 | — | 8 | 2 | no | — |
| 159 | C22×C59 | — | 8 | 2 | no | — |
| 160 | C22×C59 | #493 | 1 | 2 | yes | — |
| 161 | C22×C59 | C2×#127 | 1 | 1 | yes | characteristic |
| 162 | C2×D59 | — | 8 | 2 | no | — |
| 163 | C2×D59 | — | 8 | 2 | no | — |
| 164 | C2×D59 | — | 8 | 2 | no | — |
| 165 | C4×C59 | — | 2 | 1 | no | — |
| 166 | C4×C59 | — | 2 | 1 | no | — |
| 167 | C4×C59 | — | 8 | 2 | no | — |
| 168 | C4×C59 | #493 | 1 | 2 | yes | — |
| 169 | C4×C59 | C22×D8 | 1 | 2 | yes | — |
| 170 | C4×C59 | #575 | 1 | 2 | yes | — |
| 171 | C4×C59 | #575 | 1 | 2 | yes | — |
| 172 | Dic59 | — | 8 | 2 | no | — |
| 173 | #3169 | — | 59 | 1 | no | — |
| 174 | #3169 | — | 59 | 2 | no | — |
| 175 | #3169 | D59 | 1 | 1 | yes | characteristic, complemented |
| 176 | #3147 | — | 59 | 2 | no | — |
| 177 | #1722 | — | 59 | 2 | no | — |
| 178 | #1722 | — | 59 | 2 | no | — |
| 179 | #1721 | — | 59 | 2 | no | — |
| 180 | #1721 | — | 59 | 2 | no | — |
| 181 | C2×#322 | — | 59 | 1 | no | — |
| 182 | C2×C59 | — | 2 | 2 | no | — |
| 183 | C2×C59 | — | 16 | 2 | no | — |
| 184 | C2×C59 | C2×#493 | 1 | 1 | yes | characteristic |
| 185 | C2×C59 | #3150 | 1 | 1 | yes | characteristic |
| 186 | C2×C59 | #3150 | 1 | 1 | yes | characteristic |
| 187 | D59 | — | 16 | 2 | no | — |
| 188 | C2×#135 | — | 118 | 4 | no | — |
| 189 | #532 | — | 59 | 2 | no | — |
| 190 | #532 | C2×D59 | 1 | 2 | yes | — |
| 191 | #500 | — | 59 | 2 | no | — |
| 192 | #500 | — | 59 | 1 | no | — |
| 193 | #500 | C2×D59 | 1 | 1 | yes | characteristic |
| 194 | #495 | — | 118 | 4 | no | — |
| 195 | #494 | — | 59 | 2 | no | — |
| 196 | #493 | — | 59 | 2 | no | — |
| 197 | #493 | — | 59 | 2 | no | — |
| 198 | #493 | — | 59 | 1 | no | — |
| 199 | #493 | C2×D59 | 1 | 1 | yes | characteristic |
| 200 | #492 | — | 59 | 2 | no | — |
| 201 | #492 | — | 59 | 2 | no | — |
| 202 | #486 | — | 59 | 2 | no | — |
| 203 | #486 | — | 59 | 2 | no | — |
| 204 | #486 | — | 59 | 2 | no | — |
| 205 | #486 | C2×D59 | 1 | 2 | yes | — |
| 206 | #466 | — | 2 | 2 | no | — |
| 207 | #466 | — | 118 | 4 | no | — |
| 208 | #466 | — | 118 | 2 | no | — |
| 209 | C4×D8 | — | 2 | 2 | no | — |
| 210 | C4×D8 | — | 118 | 4 | no | — |
| 211 | C4×D8 | — | 118 | 2 | no | — |
| 212 | C2×C4×C8 | — | 59 | 1 | no | — |
| 213 | C2×C4×C8 | — | 59 | 1 | no | — |
| 214 | C2×C4×C8 | C2×D59 | 1 | 1 | yes | characteristic |
| 215 | #322 | — | 59 | 2 | no | — |
| 216 | #322 | — | 59 | 2 | no | — |
| 217 | C59 | #19616 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 218 | C2×#41 | — | 2 | 2 | no | — |
| 219 | C2×#41 | — | 118 | 2 | no | — |
| 220 | #135 | — | 236 | 16 | no | — |
| 221 | C2×Q16 | — | 118 | 4 | no | — |
| 222 | C2×SD16 | — | 118 | 4 | no | — |
| 223 | C2×SD16 | — | 118 | 4 | no | — |
| 224 | C2×D8 | — | 2 | 2 | no | — |
| 225 | C2×D8 | — | 118 | 4 | no | — |
| 226 | C2×D8 | — | 118 | 4 | no | — |
| 227 | C2×D8 | — | 118 | 2 | no | — |
| 228 | C22×C8 | — | 59 | 2 | no | — |
| 229 | C22×C8 | — | 59 | 2 | no | — |
| 230 | C22×C8 | C22⋊D59 | 1 | 2 | yes | — |
| 231 | C4⋊Q8 | — | 59 | 2 | no | — |
| 232 | C4⋊Q8 | C22×D59 | 1 | 2 | yes | — |
| 233 | #127 | — | 59 | 2 | no | — |
| 234 | #127 | C22×D59 | 1 | 2 | yes | — |
| 235 | #124 | — | 2 | 2 | no | — |
| 236 | #124 | — | 118 | 2 | no | — |
| 237 | #121 | — | 2 | 2 | no | — |
| 238 | #121 | — | 2 | 2 | no | — |
| 239 | #121 | — | 118 | 2 | no | — |
| 240 | #121 | — | 118 | 2 | no | — |
| 241 | C4×D4 | — | 2 | 2 | no | — |
| 242 | C4×D4 | — | 2 | 2 | no | — |
| 243 | C4×D4 | — | 118 | 2 | no | — |
| 244 | C4×D4 | — | 118 | 2 | no | — |
| 245 | C2×C42 | C22×D59 | 1 | 1 | yes | characteristic |
| 246 | #107 | — | 2 | 2 | no | — |
| 247 | #107 | — | 118 | 4 | no | — |
| 248 | #107 | — | 118 | 2 | no | — |
| 249 | #102 | — | 2 | 4 | no | — |
| 250 | #102 | — | 118 | 4 | no | — |
| 251 | #102 | — | 118 | 4 | no | — |
| 252 | #102 | — | 118 | 4 | no | — |
| 253 | C4×C8 | — | 59 | 2 | no | — |
| 254 | C4×C8 | — | 59 | 2 | no | — |
| 255 | C4×C8 | — | 59 | 2 | no | — |
| 256 | C4×C8 | — | 59 | 2 | no | — |
| 257 | C4×C8 | C22⋊D59 | 1 | 2 | yes | — |
| 258 | C4×C8 | C22×D59 | 1 | 1 | yes | characteristic |
| 259 | C4×C8 | C22×D59 | 1 | 1 | yes | characteristic |
| 260 | #41 | — | 4 | 8 | no | — |
| 261 | #41 | — | 236 | 8 | no | — |
| 262 | C2×Q8 | — | 2 | 2 | no | — |
| 263 | C2×Q8 | — | 118 | 2 | no | — |
| 264 | C2×D4 | — | 2 | 2 | no | — |
| 265 | C2×D4 | — | 2 | 2 | no | — |
| 266 | C2×D4 | — | 2 | 2 | no | — |
| 267 | C2×D4 | — | 4 | 2 | no | — |
| 268 | C2×D4 | — | 118 | 2 | no | — |
| 269 | C2×D4 | — | 118 | 2 | no | — |
| 270 | C2×D4 | — | 118 | 2 | no | — |
| 271 | C2×D4 | — | 236 | 2 | no | — |
| 272 | C22×C4 | — | 4 | 2 | no | — |
| 273 | C22×C4 | — | 236 | 2 | no | — |
| 274 | C22×C4 | D4×D59 | 1 | 1 | yes | characteristic |
| 275 | C22×C4 | D4×D59 | 1 | 1 | yes | characteristic |
| 276 | C22×C4 | C2×C22⋊D59 | 1 | 1 | yes | characteristic |
| 277 | Q16 | — | 236 | 8 | no | — |
| 278 | SD16 | — | 236 | 8 | no | — |
| 279 | SD16 | — | 236 | 8 | no | — |
| 280 | D8 | — | 4 | 4 | no | — |
| 281 | D8 | — | 236 | 4 | no | — |
| 282 | D8 | — | 236 | 8 | no | — |
| 283 | D8 | — | 236 | 8 | no | — |
| 284 | C2×C8 | — | 4 | 2 | no | — |
| 285 | C2×C8 | — | 59 | 8 | no | — |
| 286 | C2×C8 | — | 59 | 4 | no | — |
| 287 | C2×C8 | — | 59 | 4 | no | — |
| 288 | C2×C8 | — | 236 | 2 | no | — |
| 289 | C2×C8 | C2×C22⋊D59 | 1 | 2 | yes | — |
| 290 | C2×C8 | C2×C22⋊D59 | 1 | 2 | yes | — |
| 291 | C4⋊C4 | — | 2 | 2 | no | — |
| 292 | C4⋊C4 | — | 2 | 2 | no | — |
| 293 | C4⋊C4 | — | 118 | 2 | no | — |
| 294 | C4⋊C4 | — | 118 | 2 | no | — |
| 295 | C22⋊C4 | — | 4 | 2 | no | — |
| 296 | C22⋊C4 | — | 4 | 2 | no | — |
| 297 | C22⋊C4 | — | 236 | 2 | no | — |
| 298 | C22⋊C4 | — | 236 | 2 | no | — |
| 299 | C42 | D4×D59 | 1 | 1 | yes | characteristic |
| 300 | C42 | D4×D59 | 1 | 1 | yes | characteristic |
| 301 | C42 | C2×C22⋊D59 | 1 | 1 | yes | characteristic |
| 302 | C42 | C23×D59 | 1 | 1 | yes | characteristic |
| 303 | C23 | — | 4 | 2 | no | — |
| 304 | C23 | — | 236 | 2 | no | — |
| 305 | C23 | #14273723 | 1 | 1 | yes | characteristic |
| 306 | Q8 | — | 4 | 4 | no | — |
| 307 | Q8 | — | 236 | 4 | no | — |
| 308 | D4 | — | 4 | 4 | no | — |
| 309 | D4 | — | 4 | 4 | no | — |
| 310 | D4 | — | 4 | 4 | no | — |
| 311 | D4 | — | 8 | 4 | no | — |
| 312 | D4 | — | 472 | 4 | no | — |
| 313 | D4 | — | 236 | 4 | no | — |
| 314 | D4 | — | 236 | 4 | no | — |
| 315 | D4 | — | 236 | 4 | no | — |
| 316 | C2×C4 | — | 2 | 2 | no | — |
| 317 | C2×C4 | — | 2 | 2 | no | — |
| 318 | C2×C4 | — | 4 | 2 | no | — |
| 319 | C2×C4 | — | 8 | 4 | no | — |
| 320 | C2×C4 | — | 472 | 4 | no | — |
| 321 | C2×C4 | — | 236 | 2 | no | — |
| 322 | C2×C4 | #14273723 | 1 | 1 | yes | characteristic |
| 323 | C2×C4 | #14273723 | 1 | 1 | yes | characteristic |
| 324 | C2×C4 | #14273723 | 1 | 1 | yes | characteristic |
| 325 | C2×C4 | D8×D59 | 1 | 4 | yes | — |
| 326 | C2×C4 | C2×D4×D59 | 1 | 1 | yes | characteristic |
| 327 | C2×C4 | C2×D4×D59 | 1 | 1 | yes | characteristic |
| 328 | C2×C4 | C22×C22⋊D59 | 1 | 1 | yes | characteristic |
| 329 | C8 | — | 2 | 2 | no | — |
| 330 | C8 | — | 2 | 2 | no | — |
| 331 | C8 | — | 59 | 8 | no | — |
| 332 | C8 | — | 118 | 4 | no | — |
| 333 | C22 | — | 2 | 1 | no | — |
| 334 | C22 | — | 2 | 1 | no | — |
| 335 | C22 | — | 8 | 2 | no | — |
| 336 | C22 | — | 8 | 2 | no | — |
| 337 | C22 | — | 8 | 2 | no | — |
| 338 | C22 | — | 472 | 2 | no | — |
| 339 | C22 | — | 472 | 2 | no | — |
| 340 | C22 | — | 472 | 2 | no | — |
| 341 | C22 | #16837777 | 1 | 2 | yes | — |
| 342 | C22 | C2×#14273723 | 1 | 1 | yes | characteristic |
| 343 | C4 | — | 2 | 1 | no | — |
| 344 | C4 | — | 2 | 1 | no | — |
| 345 | C4 | — | 8 | 2 | no | — |
| 346 | C4 | — | 472 | 2 | no | — |
| 347 | C4 | #16837777 | 1 | 2 | yes | — |
| 348 | C4 | C2×D8×D59 | 1 | 2 | yes | — |
| 349 | C4 | #16838199 | 1 | 2 | yes | — |
| 350 | C4 | #16838200 | 1 | 2 | yes | — |
| 351 | C2 | — | 2 | 2 | no | — |
| 352 | C2 | — | 16 | 2 | no | — |
| 353 | C2 | — | 944 | 2 | no | — |
| 354 | C2 | C2×#16837777 | 1 | 1 | yes | characteristic |
| 355 | C2 | #21434539 | 1 | 1 | yes | characteristic |
| 356 | C2 | #21434541 | 1 | 1 | yes | characteristic |
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