← #15921840
Subgroups — #15921840
Order 3328.
690 conjugacy classes of subgroups.
The subgroup lattice has 434 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #13125372 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13124691 | C2 | 1 | 2 | yes | maximal |
| 3 | #13123436 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #13116345 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #13116182 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #13115622 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #13115582 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #13115060 | C2 | 1 | 2 | yes | maximal |
| 9 | #13114994 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13114671 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | C13×#1816 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | C2×C13×#131 | C22 | 1 | 1 | yes | characteristic |
| 13 | #11719532 | C22 | 1 | 2 | yes | — |
| 14 | #11719205 | C22 | 1 | 2 | yes | — |
| 15 | C2×C13×#108 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×C13×#107 | C22 | 1 | 1 | yes | characteristic |
| 17 | C13×#417 | C22 | 1 | 2 | yes | — |
| 18 | C2×#88077 | C22 | 1 | 1 | yes | characteristic |
| 19 | #11718894 | C22 | 1 | 1 | yes | characteristic |
| 20 | #11718782 | — | 2 | 2 | no | — |
| 21 | #11718782 | C22 | 1 | 2 | yes | — |
| 22 | #11718782 | C22 | 1 | 2 | yes | — |
| 23 | #11718780 | C22 | 1 | 2 | yes | — |
| 24 | #11718767 | — | 2 | 1 | no | — |
| 25 | #11718767 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#88058 | — | 2 | 1 | no | — |
| 27 | C2×#88058 | C22 | 1 | 1 | yes | characteristic |
| 28 | #11718762 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×C8×Dic13 | C22 | 1 | 1 | yes | characteristic |
| 30 | #11718637 | C22 | 1 | 2 | yes | — |
| 31 | #11718625 | C22 | 1 | 2 | yes | — |
| 32 | C2×#88047 | C22 | 1 | 2 | yes | — |
| 33 | #11718539 | — | 2 | 1 | no | — |
| 34 | #11718537 | — | 2 | 2 | no | — |
| 35 | #11718535 | — | 2 | 1 | no | — |
| 36 | #11718460 | — | 2 | 2 | no | — |
| 37 | #11718455 | — | 2 | 2 | no | — |
| 38 | #11718424 | — | 2 | 2 | no | — |
| 39 | #11718420 | — | 2 | 2 | no | — |
| 40 | C13×#343 | C22 | 1 | 2 | yes | — |
| 41 | #11718150 | C22 | 1 | 1 | yes | characteristic |
| 42 | #11718147 | C22 | 1 | 1 | yes | characteristic |
| 43 | #11718147 | C22 | 1 | 2 | yes | — |
| 44 | #11718146 | C22 | 1 | 2 | yes | — |
| 45 | C2×C13×#41 | C23 | 1 | 1 | yes | characteristic |
| 46 | C13×#131 | — | 2 | 2 | no | — |
| 47 | C13×#131 | Q8 | 1 | 4 | yes | complemented |
| 48 | C2×C13×M16 | — | 2 | 1 | no | — |
| 49 | C2×C13×M16 | C23 | 1 | 2 | yes | — |
| 50 | C2×C13×M16 | C23 | 1 | 1 | yes | characteristic |
| 51 | C22×C8×C13 | — | 2 | 1 | no | — |
| 52 | C22×C8×C13 | C23 | 1 | 1 | yes | characteristic |
| 53 | C2×C13×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 54 | Q8×Dic13 | — | 2 | 2 | no | — |
| 55 | D4×Dic13 | — | 2 | 2 | no | — |
| 56 | D4×Dic13 | — | 4 | 2 | no | — |
| 57 | #88180 | — | 2 | 2 | no | — |
| 58 | #88180 | C23 | 1 | 1 | yes | characteristic |
| 59 | #88180 | C23 | 1 | 2 | yes | — |
| 60 | C2×C4⋊Dic13 | — | 2 | 2 | no | — |
| 61 | C2×C4⋊Dic13 | C23 | 1 | 2 | yes | — |
| 62 | #88178 | — | 4 | 2 | no | — |
| 63 | C2×#6101 | — | 4 | 2 | no | — |
| 64 | C2×C4×Dic13 | C23 | 1 | 1 | yes | characteristic |
| 65 | C2×#6099 | C23 | 1 | 1 | yes | characteristic |
| 66 | C22×#1055 | C23 | 1 | 1 | yes | characteristic |
| 67 | #88144 | — | 2 | 2 | no | — |
| 68 | #88144 | — | 2 | 2 | no | — |
| 69 | #88142 | — | 2 | 2 | no | — |
| 70 | #88142 | — | 2 | 2 | no | — |
| 71 | C13×#108 | — | 2 | 2 | no | — |
| 72 | C13×#107 | — | 2 | 1 | no | — |
| 73 | C13×#107 | — | 2 | 1 | no | — |
| 74 | C13×#103 | — | 2 | 2 | no | — |
| 75 | C13×#102 | — | 2 | 2 | no | — |
| 76 | #88077 | Q8 | 1 | 4 | yes | complemented |
| 77 | #88075 | D4 | 1 | 1 | yes | characteristic |
| 78 | #88075 | D4 | 1 | 1 | yes | characteristic |
| 79 | #88072 | D4 | 1 | 1 | yes | characteristic |
| 80 | #88072 | D4 | 1 | 1 | yes | characteristic |
| 81 | #88058 | — | 2 | 1 | no | — |
| 82 | #88058 | — | 2 | 1 | no | — |
| 83 | #88058 | — | 2 | 2 | no | — |
| 84 | #88058 | — | 2 | 2 | no | — |
| 85 | #88058 | D4 | 1 | 1 | yes | characteristic |
| 86 | #88058 | D4 | 1 | 1 | yes | characteristic |
| 87 | #88057 | — | 2 | 2 | no | — |
| 88 | #88057 | — | 2 | 2 | no | — |
| 89 | #88057 | D4 | 1 | 2 | yes | — |
| 90 | #88055 | — | 2 | 1 | no | — |
| 91 | #88054 | — | 2 | 2 | no | — |
| 92 | #88054 | — | 2 | 2 | no | — |
| 93 | C8×Dic13 | — | 2 | 1 | no | — |
| 94 | C8×Dic13 | — | 2 | 2 | no | — |
| 95 | #88048 | — | 2 | 2 | no | — |
| 96 | #88047 | — | 2 | 2 | no | — |
| 97 | #88047 | — | 2 | 2 | no | — |
| 98 | #88047 | — | 2 | 2 | no | — |
| 99 | #26083 | — | 13 | 1 | no | maximal, Sylow |
| 100 | C13×#41 | — | 2 | 1 | no | — |
| 101 | C13×#41 | — | 2 | 1 | no | — |
| 102 | C13×#41 | C2×Q8 | 1 | 2 | yes | — |
| 103 | C13×#41 | C2×Q8 | 1 | 2 | yes | — |
| 104 | C2×Q8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 105 | C2×D4×C13 | — | 2 | 1 | no | — |
| 106 | C2×D4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 107 | C22×C4×C13 | — | 2 | 1 | no | — |
| 108 | C22×C4×C13 | — | 2 | 2 | no | — |
| 109 | C22×C4×C13 | C24 | 1 | 1 | yes | characteristic |
| 110 | C22×Dic13 | — | 2 | 1 | no | — |
| 111 | C22×Dic13 | — | 2 | 2 | no | — |
| 112 | C22×Dic13 | — | 4 | 2 | no | — |
| 113 | C2×Dic26 | — | 4 | 2 | no | — |
| 114 | C13×M16 | — | 2 | 1 | no | — |
| 115 | C13×M16 | — | 2 | 4 | no | — |
| 116 | C13×M16 | — | 2 | 2 | no | — |
| 117 | C13×M16 | — | 2 | 2 | no | — |
| 118 | C13×M16 | C2×Q8 | 1 | 2 | yes | — |
| 119 | C2×C8×C13 | — | 2 | 1 | no | — |
| 120 | C2×C8×C13 | — | 2 | 4 | no | — |
| 121 | C2×C8×C13 | — | 2 | 2 | no | — |
| 122 | C2×C8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 123 | C2×C8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 124 | C2×C8×C13 | C2×Q8 | 1 | 2 | yes | — |
| 125 | C2×C8×C13 | #41 | 1 | 2 | yes | — |
| 126 | C13×C4⋊C4 | — | 2 | 2 | no | — |
| 127 | C13×C4⋊C4 | — | 2 | 2 | no | — |
| 128 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 129 | C22⋊Dic13 | — | 2 | 2 | no | — |
| 130 | C22⋊Dic13 | — | 4 | 2 | no | — |
| 131 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 132 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 133 | C4⋊Dic13 | — | 4 | 2 | no | — |
| 134 | C4⋊Dic13 | — | 4 | 2 | no | — |
| 135 | C4⋊Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 136 | C4⋊Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 137 | C4⋊Dic13 | C2×D4 | 1 | 2 | yes | — |
| 138 | C4⋊Dic13 | C2×D4 | 1 | 2 | yes | — |
| 139 | #6101 | — | 4 | 2 | no | — |
| 140 | #6101 | — | 4 | 2 | no | — |
| 141 | #6101 | — | 8 | 4 | no | — |
| 142 | C4×Dic13 | — | 2 | 1 | no | — |
| 143 | C4×Dic13 | — | 2 | 2 | no | — |
| 144 | C4×Dic13 | — | 2 | 1 | no | — |
| 145 | C4×Dic13 | — | 4 | 2 | no | — |
| 146 | C4×Dic13 | C2×Q8 | 1 | 2 | yes | — |
| 147 | #6099 | — | 2 | 1 | no | — |
| 148 | #6099 | C2×Q8 | 1 | 2 | yes | — |
| 149 | C2×#1055 | — | 2 | 1 | no | — |
| 150 | C2×#1055 | — | 2 | 1 | no | — |
| 151 | C2×#1055 | — | 2 | 1 | no | — |
| 152 | C2×#1055 | C2×D4 | 1 | 1 | yes | characteristic |
| 153 | C2×#1055 | C2×D4 | 1 | 1 | yes | characteristic |
| 154 | #3164 | — | 13 | 1 | no | — |
| 155 | #3083 | — | 13 | 2 | no | — |
| 156 | #2913 | — | 13 | 1 | no | — |
| 157 | #2089 | — | 13 | 2 | no | — |
| 158 | #2060 | — | 13 | 2 | no | — |
| 159 | #1952 | — | 13 | 1 | no | — |
| 160 | #1945 | — | 13 | 1 | no | — |
| 161 | #1859 | — | 13 | 2 | no | — |
| 162 | #1845 | — | 13 | 1 | no | — |
| 163 | #1816 | D13 | 1 | 1 | yes | characteristic |
| 164 | #1764 | — | 13 | 1 | no | — |
| 165 | C23×C13 | — | 2 | 1 | no | — |
| 166 | C23×C13 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 167 | Q8×C13 | — | 2 | 1 | no | — |
| 168 | Q8×C13 | C4⋊Q8 | 1 | 2 | yes | — |
| 169 | D4×C13 | — | 2 | 2 | no | — |
| 170 | D4×C13 | — | 2 | 2 | no | — |
| 171 | D4×C13 | — | 2 | 1 | no | — |
| 172 | D4×C13 | C4⋊Q8 | 1 | 2 | yes | — |
| 173 | C2×C4×C13 | — | 2 | 1 | no | — |
| 174 | C2×C4×C13 | — | 2 | 2 | no | — |
| 175 | C2×C4×C13 | — | 2 | 2 | no | — |
| 176 | C2×C4×C13 | — | 4 | 2 | no | — |
| 177 | C2×C4×C13 | — | 8 | 2 | no | — |
| 178 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 179 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 180 | C2×C4×C13 | C22×Q8 | 1 | 1 | yes | characteristic |
| 181 | C2×C4×C13 | C22×Q8 | 1 | 1 | yes | characteristic |
| 182 | C2×C4×C13 | C2×#41 | 1 | 1 | yes | characteristic |
| 183 | C2×C4×C13 | 2−1+4 | 1 | 1 | yes | characteristic |
| 184 | C2×Dic13 | — | 2 | 2 | no | — |
| 185 | C2×Dic13 | — | 2 | 2 | no | — |
| 186 | C2×Dic13 | — | 2 | 2 | no | — |
| 187 | C2×Dic13 | — | 2 | 2 | no | — |
| 188 | C2×Dic13 | — | 2 | 1 | no | — |
| 189 | C2×Dic13 | — | 2 | 1 | no | — |
| 190 | C2×Dic13 | — | 2 | 2 | no | — |
| 191 | C2×Dic13 | — | 4 | 2 | no | — |
| 192 | C2×Dic13 | — | 8 | 2 | no | — |
| 193 | C2×Dic13 | — | 16 | 2 | no | — |
| 194 | Dic26 | — | 16 | 2 | no | — |
| 195 | C8×C13 | — | 2 | 2 | no | — |
| 196 | C8×C13 | — | 4 | 2 | no | — |
| 197 | C8×C13 | C22⋊Q8 | 1 | 2 | yes | — |
| 198 | C8×C13 | C22⋊Q8 | 1 | 2 | yes | — |
| 199 | #1055 | — | 2 | 1 | no | — |
| 200 | #1055 | — | 2 | 1 | no | — |
| 201 | #1055 | — | 2 | 2 | no | — |
| 202 | C2×#131 | C2×D13 | 1 | 1 | yes | characteristic |
| 203 | #544 | — | 13 | 2 | no | — |
| 204 | #520 | — | 13 | 2 | no | — |
| 205 | #501 | — | 26 | 2 | no | — |
| 206 | #500 | — | 26 | 1 | no | — |
| 207 | #499 | — | 26 | 1 | no | — |
| 208 | #479 | — | 26 | 2 | no | — |
| 209 | #478 | — | 26 | 2 | no | — |
| 210 | #477 | — | 26 | 2 | no | — |
| 211 | #474 | — | 26 | 2 | no | — |
| 212 | C2×#108 | C2×D13 | 1 | 1 | yes | characteristic |
| 213 | #428 | — | 13 | 2 | no | — |
| 214 | #428 | — | 13 | 2 | no | — |
| 215 | #428 | — | 13 | 2 | no | — |
| 216 | #428 | — | 26 | 2 | no | — |
| 217 | #427 | — | 13 | 1 | no | — |
| 218 | #427 | — | 26 | 1 | no | — |
| 219 | C2×#107 | — | 13 | 1 | no | — |
| 220 | C2×#107 | — | 13 | 2 | no | — |
| 221 | C2×#107 | — | 26 | 1 | no | — |
| 222 | C2×#107 | C2×D13 | 1 | 1 | yes | characteristic |
| 223 | #424 | — | 13 | 2 | no | — |
| 224 | C2×#104 | — | 13 | 1 | no | — |
| 225 | #417 | C2×D13 | 1 | 2 | yes | — |
| 226 | #416 | — | 13 | 1 | no | — |
| 227 | #405 | — | 13 | 1 | no | — |
| 228 | C2×C4×C8 | — | 13 | 1 | no | — |
| 229 | #384 | — | 13 | 2 | no | — |
| 230 | #343 | — | 13 | 2 | no | — |
| 231 | #343 | C2×D13 | 1 | 2 | yes | — |
| 232 | #341 | — | 13 | 1 | no | — |
| 233 | #339 | — | 13 | 1 | no | — |
| 234 | #339 | — | 13 | 2 | no | — |
| 235 | C22×C13 | — | 2 | 1 | no | — |
| 236 | C22×C13 | — | 2 | 1 | no | — |
| 237 | C22×C13 | — | 2 | 2 | no | — |
| 238 | C22×C13 | — | 4 | 1 | no | — |
| 239 | C22×C13 | — | 4 | 1 | no | — |
| 240 | C22×C13 | #544 | 1 | 1 | yes | characteristic |
| 241 | C22×C13 | D42 | 1 | 1 | yes | characteristic |
| 242 | C22×C13 | #554 | 1 | 1 | yes | characteristic |
| 243 | C4×C13 | — | 2 | 2 | no | — |
| 244 | C4×C13 | — | 8 | 2 | no | — |
| 245 | C4×C13 | C2×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 246 | C4×C13 | C2×C4⋊Q8 | 1 | 1 | yes | characteristic |
| 247 | C4×C13 | #547 | 1 | 1 | yes | characteristic |
| 248 | C4×C13 | D4×Q8 | 1 | 1 | yes | characteristic |
| 249 | Dic13 | — | 2 | 4 | no | — |
| 250 | Dic13 | — | 4 | 1 | no | — |
| 251 | Dic13 | — | 4 | 2 | no | — |
| 252 | Dic13 | — | 4 | 2 | no | — |
| 253 | Dic13 | — | 4 | 1 | no | — |
| 254 | Dic13 | — | 8 | 2 | no | — |
| 255 | C2×#41 | C22×D13 | 1 | 1 | yes | characteristic |
| 256 | #131 | — | 2 | 2 | no | — |
| 257 | #131 | Dic26 | 1 | 4 | yes | complemented |
| 258 | C2×M16 | — | 2 | 1 | no | — |
| 259 | C2×M16 | — | 13 | 1 | no | — |
| 260 | C2×M16 | C22×D13 | 1 | 2 | yes | — |
| 261 | C2×M16 | C22×D13 | 1 | 1 | yes | characteristic |
| 262 | C22×C8 | — | 2 | 1 | no | — |
| 263 | C22×C8 | — | 13 | 1 | no | — |
| 264 | C22×C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 265 | C4⋊Q8 | — | 26 | 2 | no | — |
| 266 | C4⋊Q8 | — | 26 | 2 | no | — |
| 267 | #125 | — | 26 | 2 | no | — |
| 268 | #125 | — | 26 | 2 | no | — |
| 269 | C22⋊Q8 | — | 52 | 2 | no | — |
| 270 | C4×Q8 | — | 26 | 2 | no | — |
| 271 | C4×D4 | — | 26 | 2 | no | — |
| 272 | C4×D4 | — | 52 | 2 | no | — |
| 273 | #117 | — | 13 | 2 | no | — |
| 274 | #117 | — | 13 | 1 | no | — |
| 275 | #117 | — | 26 | 2 | no | — |
| 276 | C2×C4⋊C4 | — | 13 | 2 | no | — |
| 277 | C2×C4⋊C4 | — | 26 | 2 | no | — |
| 278 | C2×C4⋊C4 | — | 52 | 2 | no | — |
| 279 | C2×C4⋊C4 | C22×D13 | 1 | 2 | yes | — |
| 280 | C2×C42 | — | 13 | 1 | no | — |
| 281 | #108 | — | 2 | 2 | no | — |
| 282 | #107 | — | 2 | 1 | no | — |
| 283 | #107 | — | 2 | 1 | no | — |
| 284 | #107 | — | 13 | 1 | no | — |
| 285 | #107 | — | 13 | 1 | no | — |
| 286 | #107 | — | 26 | 2 | no | — |
| 287 | #107 | — | 26 | 2 | no | — |
| 288 | #107 | — | 26 | 2 | no | — |
| 289 | #107 | — | 26 | 2 | no | — |
| 290 | #107 | — | 26 | 2 | no | — |
| 291 | #107 | — | 26 | 1 | no | — |
| 292 | #107 | — | 26 | 1 | no | — |
| 293 | #106 | — | 13 | 2 | no | — |
| 294 | #106 | — | 26 | 2 | no | — |
| 295 | #106 | — | 26 | 2 | no | — |
| 296 | #106 | — | 26 | 2 | no | — |
| 297 | C4⋊C8 | — | 26 | 2 | no | — |
| 298 | C4⋊C8 | — | 26 | 2 | no | — |
| 299 | #104 | — | 13 | 4 | no | — |
| 300 | #103 | — | 2 | 2 | no | — |
| 301 | #103 | — | 13 | 1 | no | — |
| 302 | #103 | — | 13 | 1 | no | — |
| 303 | #102 | — | 2 | 2 | no | — |
| 304 | #102 | — | 13 | 1 | no | — |
| 305 | #102 | — | 13 | 1 | no | — |
| 306 | #97 | — | 26 | 1 | no | — |
| 307 | C4×C8 | — | 26 | 1 | no | — |
| 308 | C4×C8 | — | 26 | 2 | no | — |
| 309 | C2×C13 | — | 2 | 1 | no | — |
| 310 | C2×C13 | — | 2 | 1 | no | — |
| 311 | C2×C13 | — | 4 | 2 | no | — |
| 312 | C2×C13 | #2440 | 1 | 1 | yes | characteristic |
| 313 | C2×C13 | #3292 | 1 | 1 | yes | characteristic |
| 314 | C2×C13 | #3293 | 1 | 1 | yes | characteristic |
| 315 | #41 | — | 2 | 1 | no | — |
| 316 | #41 | — | 2 | 1 | no | — |
| 317 | #41 | C2×Dic26 | 1 | 2 | yes | — |
| 318 | #41 | Q8×D13 | 1 | 2 | yes | — |
| 319 | C2×Q8 | — | 52 | 2 | no | — |
| 320 | C2×Q8 | D4×D13 | 1 | 1 | yes | characteristic |
| 321 | C2×D4 | — | 2 | 1 | no | — |
| 322 | C2×D4 | D4×D13 | 1 | 1 | yes | characteristic |
| 323 | C22×C4 | — | 2 | 1 | no | — |
| 324 | C22×C4 | — | 2 | 2 | no | — |
| 325 | C22×C4 | — | 26 | 1 | no | — |
| 326 | C22×C4 | — | 26 | 2 | no | — |
| 327 | C22×C4 | — | 52 | 2 | no | — |
| 328 | C22×C4 | C23×D13 | 1 | 1 | yes | characteristic |
| 329 | M16 | — | 2 | 1 | no | — |
| 330 | M16 | — | 2 | 4 | no | — |
| 331 | M16 | — | 2 | 2 | no | — |
| 332 | M16 | — | 2 | 2 | no | — |
| 333 | M16 | — | 13 | 2 | no | — |
| 334 | M16 | — | 26 | 1 | no | — |
| 335 | M16 | C2×Dic26 | 1 | 2 | yes | — |
| 336 | C2×C8 | — | 2 | 1 | no | — |
| 337 | C2×C8 | — | 2 | 4 | no | — |
| 338 | C2×C8 | — | 2 | 2 | no | — |
| 339 | C2×C8 | — | 13 | 1 | no | — |
| 340 | C2×C8 | — | 13 | 1 | no | — |
| 341 | C2×C8 | — | 26 | 1 | no | — |
| 342 | C2×C8 | — | 26 | 1 | no | — |
| 343 | C2×C8 | — | 26 | 1 | no | — |
| 344 | C2×C8 | C2×Dic26 | 1 | 2 | yes | — |
| 345 | C2×C8 | D4×D13 | 1 | 1 | yes | characteristic |
| 346 | C2×C8 | D4×D13 | 1 | 1 | yes | characteristic |
| 347 | C2×C8 | #6129 | 1 | 2 | yes | — |
| 348 | C4⋊C4 | — | 2 | 2 | no | — |
| 349 | C4⋊C4 | — | 2 | 2 | no | — |
| 350 | C4⋊C4 | — | 13 | 1 | no | — |
| 351 | C4⋊C4 | — | 13 | 1 | no | — |
| 352 | C4⋊C4 | — | 13 | 2 | no | — |
| 353 | C4⋊C4 | — | 13 | 2 | no | — |
| 354 | C4⋊C4 | — | 26 | 2 | no | — |
| 355 | C4⋊C4 | — | 26 | 2 | no | — |
| 356 | C4⋊C4 | — | 52 | 2 | no | — |
| 357 | C4⋊C4 | — | 52 | 2 | no | — |
| 358 | C4⋊C4 | — | 52 | 2 | no | — |
| 359 | C4⋊C4 | — | 52 | 2 | no | — |
| 360 | C4⋊C4 | — | 104 | 4 | no | — |
| 361 | C22⋊C4 | — | 26 | 2 | no | — |
| 362 | C22⋊C4 | — | 26 | 1 | no | — |
| 363 | C22⋊C4 | — | 52 | 2 | no | — |
| 364 | C42 | — | 13 | 2 | no | — |
| 365 | C42 | — | 26 | 1 | no | — |
| 366 | C42 | — | 26 | 2 | no | — |
| 367 | C42 | — | 26 | 1 | no | — |
| 368 | C42 | — | 52 | 2 | no | — |
| 369 | C13 | #26083 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 370 | C23 | — | 2 | 1 | no | — |
| 371 | C23 | #88256 | 1 | 1 | yes | characteristic |
| 372 | Q8 | — | 2 | 1 | no | — |
| 373 | Q8 | — | 208 | 2 | no | — |
| 374 | Q8 | #88142 | 1 | 2 | yes | — |
| 375 | D4 | — | 2 | 2 | no | — |
| 376 | D4 | — | 2 | 2 | no | — |
| 377 | D4 | — | 2 | 1 | no | — |
| 378 | D4 | #88142 | 1 | 2 | yes | — |
| 379 | C2×C4 | — | 2 | 1 | no | — |
| 380 | C2×C4 | — | 2 | 2 | no | — |
| 381 | C2×C4 | — | 2 | 2 | no | — |
| 382 | C2×C4 | — | 4 | 2 | no | — |
| 383 | C2×C4 | — | 8 | 2 | no | — |
| 384 | C2×C4 | — | 26 | 2 | no | — |
| 385 | C2×C4 | — | 26 | 2 | no | — |
| 386 | C2×C4 | — | 26 | 2 | no | — |
| 387 | C2×C4 | — | 26 | 2 | no | — |
| 388 | C2×C4 | — | 26 | 1 | no | — |
| 389 | C2×C4 | — | 26 | 2 | no | — |
| 390 | C2×C4 | — | 26 | 1 | no | — |
| 391 | C2×C4 | — | 52 | 2 | no | — |
| 392 | C2×C4 | — | 104 | 2 | no | — |
| 393 | C2×C4 | — | 208 | 2 | no | — |
| 394 | C2×C4 | C22×Dic26 | 1 | 1 | yes | characteristic |
| 395 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 396 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 397 | C2×C4 | C2×#6129 | 1 | 1 | yes | characteristic |
| 398 | C2×C4 | C2×Q8×D13 | 1 | 1 | yes | characteristic |
| 399 | C2×C4 | #88257 | 1 | 1 | yes | characteristic |
| 400 | C8 | — | 2 | 2 | no | — |
| 401 | C8 | — | 4 | 2 | no | — |
| 402 | C8 | — | 26 | 1 | no | — |
| 403 | C8 | — | 26 | 1 | no | — |
| 404 | C8 | — | 26 | 2 | no | — |
| 405 | C8 | #88132 | 1 | 2 | yes | — |
| 406 | C8 | #88132 | 1 | 2 | yes | — |
| 407 | C22 | — | 2 | 1 | no | — |
| 408 | C22 | — | 2 | 1 | no | — |
| 409 | C22 | — | 2 | 2 | no | — |
| 410 | C22 | — | 4 | 1 | no | — |
| 411 | C22 | — | 4 | 1 | no | — |
| 412 | C22 | #11719224 | 1 | 1 | yes | characteristic |
| 413 | C22 | #11719314 | 1 | 1 | yes | characteristic |
| 414 | C22 | #11719340 | 1 | 1 | yes | characteristic |
| 415 | C4 | — | 2 | 2 | no | — |
| 416 | C4 | — | 8 | 2 | no | — |
| 417 | C4 | — | 26 | 4 | no | — |
| 418 | C4 | — | 52 | 2 | no | — |
| 419 | C4 | — | 52 | 1 | no | — |
| 420 | C4 | — | 52 | 2 | no | — |
| 421 | C4 | — | 52 | 1 | no | — |
| 422 | C4 | — | 104 | 2 | no | — |
| 423 | C4 | C2×#88132 | 1 | 1 | yes | characteristic |
| 424 | C4 | C2×#88142 | 1 | 1 | yes | characteristic |
| 425 | C4 | #11719316 | 1 | 1 | yes | characteristic |
| 426 | C4 | #11719337 | 1 | 1 | yes | characteristic |
| 427 | C2 | — | 2 | 1 | no | — |
| 428 | C2 | — | 2 | 1 | no | — |
| 429 | C2 | — | 4 | 2 | no | — |
| 430 | C2 | #13118539 | 1 | 1 | yes | characteristic |
| 431 | C2 | #13126634 | 1 | 1 | yes | characteristic |
| 432 | C2 | #13126639 | 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