← #15846157
Subgroups — #15846157
Order 3328.
594 conjugacy classes of subgroups.
The subgroup lattice has 370 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #13125989 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #13125786 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C2×#11718341 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #13123770 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #13114343 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #13114219 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #13113520 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #13113516 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | C13×#1564 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #11719175 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×#88123 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×#88123 | C22 | 1 | 1 | yes | characteristic |
| 13 | C13×#431 | C22 | 1 | 1 | yes | characteristic |
| 14 | C13×#431 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×C4×C8×C13 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×#88057 | — | 2 | 1 | no | — |
| 17 | C2×#88057 | — | 2 | 1 | no | — |
| 18 | #11718763 | — | 2 | 1 | no | — |
| 19 | #11718762 | — | 2 | 1 | no | — |
| 20 | #11718585 | C22 | 1 | 1 | yes | characteristic |
| 21 | #11718511 | C22 | 1 | 4 | yes | — |
| 22 | #11718510 | C22 | 1 | 4 | yes | — |
| 23 | #11718400 | — | 2 | 2 | no | — |
| 24 | #11718383 | — | 2 | 2 | no | — |
| 25 | #11718360 | — | 2 | 1 | no | — |
| 26 | #11718343 | — | 2 | 1 | no | — |
| 27 | #11718342 | — | 2 | 1 | no | — |
| 28 | #11718342 | — | 2 | 1 | no | — |
| 29 | #11718341 | — | 2 | 1 | no | — |
| 30 | #11718341 | — | 2 | 1 | no | — |
| 31 | #11718341 | C22 | 1 | 2 | yes | — |
| 32 | #11718341 | C22 | 1 | 2 | yes | — |
| 33 | #11718340 | — | 2 | 1 | no | — |
| 34 | #11718340 | C22 | 1 | 2 | yes | — |
| 35 | C8×Dic26 | — | 2 | 1 | no | — |
| 36 | C8×Dic26 | C22 | 1 | 2 | yes | — |
| 37 | C13×#335 | C22 | 1 | 2 | yes | — |
| 38 | C13×#334 | C22 | 1 | 2 | yes | — |
| 39 | #11718074 | C22 | 1 | 4 | yes | — |
| 40 | #11718073 | C22 | 1 | 4 | yes | — |
| 41 | C22×Dic26 | — | 2 | 1 | no | — |
| 42 | C22×Dic26 | — | 2 | 1 | no | — |
| 43 | C22×C8×C13 | D4 | 1 | 1 | yes | characteristic |
| 44 | C22×C8×C13 | D4 | 1 | 1 | yes | characteristic |
| 45 | C2×C42×C13 | C23 | 1 | 1 | yes | characteristic |
| 46 | #88180 | — | 2 | 1 | no | — |
| 47 | C2×C4⋊Dic13 | — | 2 | 1 | no | — |
| 48 | C2×C4⋊Dic13 | — | 2 | 1 | no | — |
| 49 | C2×C4⋊Dic13 | — | 2 | 1 | no | — |
| 50 | C2×C4⋊Dic13 | — | 2 | 1 | no | — |
| 51 | #88178 | — | 2 | 1 | no | — |
| 52 | #88178 | D4 | 1 | 2 | yes | — |
| 53 | C2×#6099 | — | 2 | 1 | no | — |
| 54 | C2×Dic52 | — | 2 | 4 | no | — |
| 55 | #88124 | — | 2 | 1 | no | — |
| 56 | #88123 | — | 2 | 1 | no | — |
| 57 | #88123 | — | 2 | 1 | no | — |
| 58 | #88123 | — | 2 | 1 | no | — |
| 59 | #88123 | — | 2 | 1 | no | — |
| 60 | #88123 | — | 2 | 1 | no | — |
| 61 | #88123 | — | 2 | 1 | no | — |
| 62 | #88123 | D4 | 1 | 1 | yes | characteristic |
| 63 | #88123 | D4 | 1 | 1 | yes | characteristic |
| 64 | #88123 | C23 | 1 | 2 | yes | — |
| 65 | #88123 | C23 | 1 | 2 | yes | — |
| 66 | C4×Dic26 | — | 2 | 1 | no | — |
| 67 | C4×Dic26 | C23 | 1 | 2 | yes | — |
| 68 | C13×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 69 | C13×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 70 | C13×C22⋊C8 | — | 2 | 1 | no | — |
| 71 | C13×C22⋊C8 | — | 2 | 1 | no | — |
| 72 | C4×C8×C13 | — | 2 | 1 | no | — |
| 73 | C4×C8×C13 | — | 2 | 1 | no | — |
| 74 | C4×C8×C13 | D4 | 1 | 1 | yes | characteristic |
| 75 | C4×C8×C13 | D4 | 1 | 1 | yes | characteristic |
| 76 | C4×C8×C13 | C23 | 1 | 1 | yes | characteristic |
| 77 | C4×C8×C13 | C23 | 1 | 1 | yes | characteristic |
| 78 | #88058 | — | 2 | 4 | no | — |
| 79 | #88057 | — | 2 | 2 | no | — |
| 80 | #88057 | — | 2 | 2 | no | — |
| 81 | #88057 | — | 2 | 2 | no | — |
| 82 | #88057 | — | 2 | 2 | no | — |
| 83 | #88056 | — | 2 | 4 | no | — |
| 84 | #88056 | — | 2 | 4 | no | — |
| 85 | #88055 | — | 2 | 2 | no | — |
| 86 | #88054 | — | 2 | 2 | no | — |
| 87 | #88054 | — | 2 | 2 | no | — |
| 88 | C8×Dic13 | — | 2 | 2 | no | — |
| 89 | C4⋊#1055 | — | 2 | 1 | no | — |
| 90 | C4⋊#1055 | C23 | 1 | 2 | yes | — |
| 91 | #19207 | — | 13 | 1 | no | maximal, Sylow |
| 92 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 93 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 94 | C22×C4×C13 | #41 | 1 | 1 | yes | characteristic |
| 95 | C22×Dic13 | — | 4 | 1 | no | — |
| 96 | C22×Dic13 | — | 4 | 1 | no | — |
| 97 | C2×Dic26 | — | 2 | 1 | no | — |
| 98 | C2×Dic26 | — | 2 | 2 | no | — |
| 99 | C2×Dic26 | — | 2 | 2 | no | — |
| 100 | C2×Dic26 | — | 4 | 1 | no | — |
| 101 | C2×Dic26 | — | 4 | 1 | no | — |
| 102 | C2×Dic26 | — | 8 | 2 | no | — |
| 103 | C2×Dic26 | — | 8 | 2 | no | — |
| 104 | C2×Dic26 | C2×D4 | 1 | 2 | yes | — |
| 105 | C2×C8×C13 | — | 2 | 2 | no | — |
| 106 | C2×C8×C13 | — | 2 | 2 | no | — |
| 107 | C2×C8×C13 | — | 2 | 2 | no | — |
| 108 | C2×C8×C13 | Q16 | 1 | 4 | yes | complemented |
| 109 | C2×C8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 110 | C2×C8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 111 | C2×C8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 112 | C2×C8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 113 | C42×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 114 | C42×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 115 | C42×C13 | #41 | 1 | 1 | yes | characteristic |
| 116 | C42×C13 | C24 | 1 | 1 | yes | characteristic |
| 117 | C22⋊Dic13 | — | 2 | 2 | no | — |
| 118 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 119 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 120 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 121 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 122 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 123 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 124 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 125 | C4⋊Dic13 | — | 4 | 1 | no | — |
| 126 | C4⋊Dic13 | — | 4 | 1 | no | — |
| 127 | C4⋊Dic13 | — | 4 | 1 | no | — |
| 128 | C4⋊Dic13 | — | 4 | 1 | no | — |
| 129 | C4⋊Dic13 | C2×D4 | 1 | 2 | yes | — |
| 130 | #6101 | — | 2 | 2 | no | — |
| 131 | #6101 | — | 2 | 2 | no | — |
| 132 | C4×Dic13 | — | 2 | 2 | no | — |
| 133 | #6099 | — | 4 | 2 | no | — |
| 134 | C2×#1055 | — | 2 | 2 | no | — |
| 135 | Dic52 | — | 8 | 4 | no | — |
| 136 | #3230 | — | 13 | 1 | no | — |
| 137 | #3209 | — | 13 | 1 | no | — |
| 138 | C2×#498 | — | 13 | 1 | no | — |
| 139 | #2960 | — | 13 | 1 | no | — |
| 140 | #1692 | — | 13 | 4 | no | — |
| 141 | #1672 | — | 13 | 4 | no | — |
| 142 | #1564 | D13 | 1 | 1 | yes | characteristic |
| 143 | #1549 | — | 13 | 1 | no | — |
| 144 | #1548 | — | 13 | 1 | no | — |
| 145 | C23×C13 | #121 | 1 | 1 | yes | characteristic |
| 146 | C2×C4×C13 | — | 2 | 2 | no | — |
| 147 | C2×C4×C13 | — | 2 | 2 | no | — |
| 148 | C2×C4×C13 | #121 | 1 | 1 | yes | characteristic |
| 149 | C2×C4×C13 | #121 | 1 | 1 | yes | characteristic |
| 150 | C2×C4×C13 | #121 | 1 | 1 | yes | characteristic |
| 151 | C2×C4×C13 | C2×Q16 | 1 | 2 | yes | — |
| 152 | C2×C4×C13 | #137 | 1 | 2 | yes | — |
| 153 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 154 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 155 | C2×C4×C13 | C2×#41 | 1 | 1 | yes | characteristic |
| 156 | C2×Dic13 | — | 2 | 2 | no | — |
| 157 | C2×Dic13 | — | 2 | 2 | no | — |
| 158 | C2×Dic13 | — | 4 | 2 | no | — |
| 159 | C2×Dic13 | — | 4 | 2 | no | — |
| 160 | C2×Dic13 | — | 8 | 2 | no | — |
| 161 | C2×Dic13 | — | 8 | 2 | no | — |
| 162 | Dic26 | — | 2 | 4 | no | — |
| 163 | Dic26 | — | 4 | 2 | no | — |
| 164 | Dic26 | — | 4 | 4 | no | — |
| 165 | Dic26 | — | 8 | 2 | no | — |
| 166 | Dic26 | — | 8 | 2 | no | — |
| 167 | Dic26 | — | 8 | 2 | no | — |
| 168 | C8×C13 | — | 2 | 1 | no | — |
| 169 | C8×C13 | — | 2 | 1 | no | — |
| 170 | C8×C13 | — | 4 | 2 | no | — |
| 171 | C8×C13 | — | 4 | 2 | no | — |
| 172 | C8×C13 | C2×Q16 | 1 | 2 | yes | — |
| 173 | C8×C13 | C2×Q16 | 1 | 2 | yes | — |
| 174 | #1055 | — | 4 | 2 | no | — |
| 175 | #533 | — | 13 | 1 | no | — |
| 176 | C2×C4⋊Q8 | — | 13 | 1 | no | — |
| 177 | C2×C4⋊Q8 | — | 13 | 1 | no | — |
| 178 | #500 | — | 26 | 1 | no | — |
| 179 | #498 | — | 13 | 2 | no | — |
| 180 | #498 | — | 13 | 2 | no | — |
| 181 | #498 | — | 26 | 1 | no | — |
| 182 | #498 | — | 26 | 1 | no | — |
| 183 | #494 | — | 26 | 1 | no | — |
| 184 | #487 | — | 26 | 1 | no | — |
| 185 | #487 | — | 26 | 1 | no | — |
| 186 | #484 | — | 26 | 2 | no | — |
| 187 | #477 | — | 13 | 4 | no | — |
| 188 | #462 | — | 13 | 4 | no | — |
| 189 | #451 | — | 26 | 2 | no | — |
| 190 | #446 | — | 13 | 2 | no | — |
| 191 | #446 | — | 26 | 1 | no | — |
| 192 | C8×Q8 | — | 13 | 2 | no | — |
| 193 | C8×Q8 | — | 26 | 1 | no | — |
| 194 | #431 | C2×D13 | 1 | 1 | yes | characteristic |
| 195 | #431 | C2×D13 | 1 | 1 | yes | characteristic |
| 196 | C2×#106 | — | 26 | 1 | no | — |
| 197 | C2×#106 | — | 26 | 1 | no | — |
| 198 | #424 | — | 26 | 1 | no | — |
| 199 | #423 | — | 13 | 1 | no | — |
| 200 | #405 | — | 26 | 1 | no | — |
| 201 | C2×C4×C8 | C2×D13 | 1 | 1 | yes | characteristic |
| 202 | #335 | C2×D13 | 1 | 2 | yes | — |
| 203 | #334 | C2×D13 | 1 | 2 | yes | — |
| 204 | #333 | — | 13 | 4 | no | — |
| 205 | #332 | — | 13 | 4 | no | — |
| 206 | C22×C13 | — | 2 | 1 | no | — |
| 207 | C22×C13 | — | 2 | 1 | no | — |
| 208 | C22×C13 | #462 | 1 | 2 | yes | — |
| 209 | C22×C13 | C2×#121 | 1 | 1 | yes | characteristic |
| 210 | C4×C13 | — | 2 | 1 | no | — |
| 211 | C4×C13 | — | 2 | 1 | no | — |
| 212 | C4×C13 | #462 | 1 | 2 | yes | — |
| 213 | C4×C13 | #471 | 1 | 2 | yes | — |
| 214 | C4×C13 | C22×Q16 | 1 | 1 | yes | characteristic |
| 215 | C4×C13 | C2×#137 | 1 | 1 | yes | characteristic |
| 216 | C4×C13 | #577 | 1 | 2 | yes | — |
| 217 | Dic13 | — | 4 | 2 | no | — |
| 218 | Dic13 | — | 4 | 2 | no | — |
| 219 | Dic13 | — | 8 | 2 | no | — |
| 220 | Dic13 | — | 8 | 2 | no | — |
| 221 | C22×Q8 | — | 26 | 1 | no | — |
| 222 | C22×Q8 | — | 26 | 1 | no | — |
| 223 | C2×Q16 | — | 26 | 4 | no | — |
| 224 | C2×M16 | — | 26 | 1 | no | — |
| 225 | C22×C8 | D52 | 1 | 1 | yes | characteristic |
| 226 | C22×C8 | D52 | 1 | 1 | yes | characteristic |
| 227 | C4⋊Q8 | — | 13 | 1 | no | — |
| 228 | C4⋊Q8 | — | 13 | 1 | no | — |
| 229 | C4⋊Q8 | — | 13 | 2 | no | — |
| 230 | C4⋊Q8 | — | 13 | 2 | no | — |
| 231 | C4⋊Q8 | — | 26 | 1 | no | — |
| 232 | C4⋊Q8 | — | 26 | 1 | no | — |
| 233 | C4⋊Q8 | — | 26 | 1 | no | — |
| 234 | C4⋊Q8 | — | 26 | 1 | no | — |
| 235 | C4⋊Q8 | — | 26 | 1 | no | — |
| 236 | C4⋊Q8 | — | 26 | 1 | no | — |
| 237 | #125 | — | 26 | 1 | no | — |
| 238 | C22⋊Q8 | — | 13 | 2 | no | — |
| 239 | C22⋊Q8 | — | 26 | 1 | no | — |
| 240 | C4×Q8 | — | 13 | 2 | no | — |
| 241 | C4×Q8 | — | 26 | 1 | no | — |
| 242 | #117 | — | 26 | 1 | no | — |
| 243 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 244 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 245 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 246 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 247 | C2×C42 | C22×D13 | 1 | 1 | yes | characteristic |
| 248 | #107 | — | 26 | 4 | no | — |
| 249 | #106 | — | 26 | 2 | no | — |
| 250 | #106 | — | 26 | 2 | no | — |
| 251 | #106 | — | 26 | 2 | no | — |
| 252 | #106 | — | 26 | 2 | no | — |
| 253 | C4⋊C8 | — | 13 | 2 | no | — |
| 254 | C4⋊C8 | — | 26 | 2 | no | — |
| 255 | C4⋊C8 | — | 26 | 2 | no | — |
| 256 | C4⋊C8 | — | 26 | 1 | no | — |
| 257 | C4⋊C8 | C22×D13 | 1 | 2 | yes | — |
| 258 | C4⋊C8 | C22×D13 | 1 | 2 | yes | — |
| 259 | #103 | — | 26 | 4 | no | — |
| 260 | #103 | — | 26 | 4 | no | — |
| 261 | C22⋊C8 | — | 2 | 1 | no | — |
| 262 | C22⋊C8 | — | 2 | 1 | no | — |
| 263 | #97 | — | 26 | 2 | no | — |
| 264 | C4×C8 | — | 2 | 1 | no | — |
| 265 | C4×C8 | — | 2 | 1 | no | — |
| 266 | C4×C8 | — | 26 | 2 | no | — |
| 267 | C4×C8 | D52 | 1 | 1 | yes | characteristic |
| 268 | C4×C8 | D52 | 1 | 1 | yes | characteristic |
| 269 | C4×C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 270 | C4×C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 271 | C2×C13 | — | 2 | 2 | no | — |
| 272 | C2×C13 | C2×#462 | 1 | 1 | yes | characteristic |
| 273 | C2×C13 | #3057 | 1 | 1 | yes | characteristic |
| 274 | C2×C13 | C2×#471 | 1 | 1 | yes | characteristic |
| 275 | C2×Q8 | — | 13 | 2 | no | — |
| 276 | C2×Q8 | — | 26 | 1 | no | — |
| 277 | C2×Q8 | — | 26 | 2 | no | — |
| 278 | C2×Q8 | — | 26 | 2 | no | — |
| 279 | C2×Q8 | — | 52 | 1 | no | — |
| 280 | C2×Q8 | — | 52 | 1 | no | — |
| 281 | C2×Q8 | — | 104 | 2 | no | — |
| 282 | C2×Q8 | — | 104 | 2 | no | — |
| 283 | C22×C4 | — | 52 | 1 | no | — |
| 284 | C22×C4 | — | 52 | 1 | no | — |
| 285 | C22×C4 | C2×D52 | 1 | 1 | yes | characteristic |
| 286 | C22×C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 287 | C22×C4 | #6131 | 1 | 1 | yes | characteristic |
| 288 | Q16 | — | 104 | 4 | no | — |
| 289 | M16 | — | 52 | 2 | no | — |
| 290 | C2×C8 | — | 2 | 2 | no | — |
| 291 | C2×C8 | — | 2 | 2 | no | — |
| 292 | C2×C8 | — | 2 | 2 | no | — |
| 293 | C2×C8 | — | 26 | 2 | no | — |
| 294 | C2×C8 | Dic52 | 1 | 4 | yes | complemented |
| 295 | C2×C8 | C2×D52 | 1 | 1 | yes | characteristic |
| 296 | C2×C8 | C2×D52 | 1 | 1 | yes | characteristic |
| 297 | C2×C8 | C2×D52 | 1 | 1 | yes | characteristic |
| 298 | C2×C8 | C2×D52 | 1 | 1 | yes | characteristic |
| 299 | C4⋊C4 | — | 13 | 2 | no | — |
| 300 | C4⋊C4 | — | 26 | 1 | no | — |
| 301 | C4⋊C4 | — | 26 | 1 | no | — |
| 302 | C4⋊C4 | — | 26 | 2 | no | — |
| 303 | C4⋊C4 | — | 26 | 1 | no | — |
| 304 | C4⋊C4 | — | 26 | 2 | no | — |
| 305 | C4⋊C4 | — | 26 | 2 | no | — |
| 306 | C4⋊C4 | — | 26 | 2 | no | — |
| 307 | C4⋊C4 | — | 26 | 2 | no | — |
| 308 | C4⋊C4 | — | 26 | 2 | no | — |
| 309 | C4⋊C4 | — | 52 | 1 | no | — |
| 310 | C4⋊C4 | — | 52 | 1 | no | — |
| 311 | C4⋊C4 | — | 52 | 1 | no | — |
| 312 | C4⋊C4 | — | 52 | 1 | no | — |
| 313 | C22⋊C4 | — | 26 | 2 | no | — |
| 314 | C42 | — | 26 | 2 | no | — |
| 315 | C42 | C2×D52 | 1 | 1 | yes | characteristic |
| 316 | C42 | D4×D13 | 1 | 1 | yes | characteristic |
| 317 | C42 | #6131 | 1 | 1 | yes | characteristic |
| 318 | C42 | C23×D13 | 1 | 1 | yes | characteristic |
| 319 | C13 | #19207 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 320 | C23 | #88149 | 1 | 1 | yes | characteristic |
| 321 | Q8 | — | 26 | 4 | no | — |
| 322 | Q8 | — | 52 | 2 | no | — |
| 323 | Q8 | — | 52 | 4 | no | — |
| 324 | Q8 | — | 104 | 2 | no | — |
| 325 | Q8 | — | 104 | 2 | no | — |
| 326 | Q8 | — | 104 | 2 | no | — |
| 327 | C2×C4 | — | 2 | 2 | no | — |
| 328 | C2×C4 | — | 2 | 2 | no | — |
| 329 | C2×C4 | — | 26 | 2 | no | — |
| 330 | C2×C4 | — | 26 | 2 | no | — |
| 331 | C2×C4 | — | 52 | 2 | no | — |
| 332 | C2×C4 | — | 52 | 2 | no | — |
| 333 | C2×C4 | — | 104 | 2 | no | — |
| 334 | C2×C4 | — | 104 | 2 | no | — |
| 335 | C2×C4 | #88149 | 1 | 1 | yes | characteristic |
| 336 | C2×C4 | #88149 | 1 | 1 | yes | characteristic |
| 337 | C2×C4 | #88149 | 1 | 1 | yes | characteristic |
| 338 | C2×C4 | C2×Dic52 | 1 | 2 | yes | — |
| 339 | C2×C4 | #88163 | 1 | 2 | yes | — |
| 340 | C2×C4 | C22×D52 | 1 | 1 | yes | characteristic |
| 341 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 342 | C2×C4 | C2×#6131 | 1 | 1 | yes | characteristic |
| 343 | C8 | — | 2 | 1 | no | — |
| 344 | C8 | — | 2 | 1 | no | — |
| 345 | C8 | — | 4 | 2 | no | — |
| 346 | C8 | — | 4 | 2 | no | — |
| 347 | C8 | — | 52 | 2 | no | — |
| 348 | C8 | C2×Dic52 | 1 | 2 | yes | — |
| 349 | C8 | C2×Dic52 | 1 | 2 | yes | — |
| 350 | C22 | — | 2 | 1 | no | — |
| 351 | C22 | — | 2 | 1 | no | — |
| 352 | C22 | #11718510 | 1 | 2 | yes | — |
| 353 | C22 | C2×#88149 | 1 | 1 | yes | characteristic |
| 354 | C4 | — | 2 | 1 | no | — |
| 355 | C4 | — | 2 | 1 | no | — |
| 356 | C4 | — | 52 | 2 | no | — |
| 357 | C4 | — | 52 | 2 | no | — |
| 358 | C4 | — | 104 | 2 | no | — |
| 359 | C4 | — | 104 | 2 | no | — |
| 360 | C4 | #11718510 | 1 | 2 | yes | — |
| 361 | C4 | #11718559 | 1 | 2 | yes | — |
| 362 | C4 | C22×Dic52 | 1 | 1 | yes | characteristic |
| 363 | C4 | C2×#88163 | 1 | 1 | yes | characteristic |
| 364 | C4 | #11719475 | 1 | 2 | yes | — |
| 365 | C2 | — | 2 | 2 | no | — |
| 366 | C2 | C2×#11718510 | 1 | 1 | yes | characteristic |
| 367 | C2 | #13124476 | 1 | 1 | yes | characteristic |
| 368 | C2 | C2×#11718559 | 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