← #14725822
Subgroups — #14725822
Order 2816.
598 conjugacy classes of subgroups.
The subgroup lattice has 368 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #13079186 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #13077778 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #13067520 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #13067468 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #13067447 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #13067430 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | C2×#10622096 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #13067030 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | C11×#1451 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10623010 | C22 | 1 | 2 | yes | — |
| 11 | C11×#431 | C22 | 1 | 1 | yes | characteristic |
| 12 | C4×C11×M16 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×C4×C8×C11 | C22 | 1 | 1 | yes | characteristic |
| 14 | #10622729 | C4 | 1 | 1 | yes | characteristic |
| 15 | #10622728 | C4 | 1 | 1 | yes | characteristic |
| 16 | #10622727 | C4 | 1 | 2 | yes | — |
| 17 | C2×C4⋊(C11⋊C8) | C22 | 1 | 2 | yes | — |
| 18 | #10622453 | — | 2 | 2 | no | — |
| 19 | #10622452 | — | 2 | 2 | no | — |
| 20 | #10622343 | — | 2 | 2 | no | — |
| 21 | (C22⋊D11)⋊C8 | — | 2 | 2 | no | — |
| 22 | C4×Dic44 | C22 | 1 | 1 | yes | characteristic |
| 23 | #10622310 | C4 | 1 | 2 | yes | — |
| 24 | #10622309 | C4 | 1 | 1 | yes | characteristic |
| 25 | C4×D88 | C22 | 1 | 1 | yes | characteristic |
| 26 | C4×#4314 | C22 | 1 | 2 | yes | — |
| 27 | #10622301 | C22 | 1 | 2 | yes | — |
| 28 | C8×D44 | C22 | 1 | 2 | yes | — |
| 29 | #10622296 | C4 | 1 | 1 | yes | characteristic |
| 30 | #10622292 | C22 | 1 | 2 | yes | — |
| 31 | C8×Dic22 | C22 | 1 | 2 | yes | — |
| 32 | C11×#322 | C22 | 1 | 2 | yes | — |
| 33 | C11×#322 | C22 | 1 | 2 | yes | — |
| 34 | #10622097 | C22 | 1 | 2 | yes | — |
| 35 | #10622097 | C22 | 1 | 2 | yes | — |
| 36 | #10622096 | C22 | 1 | 1 | yes | characteristic |
| 37 | #10622096 | C22 | 1 | 1 | yes | characteristic |
| 38 | #10622096 | C22 | 1 | 2 | yes | — |
| 39 | #10622094 | C22 | 1 | 2 | yes | — |
| 40 | #10622094 | C22 | 1 | 2 | yes | — |
| 41 | C2×C11×M16 | — | 2 | 1 | no | — |
| 42 | C22×C8×C11 | C2×C4 | 1 | 1 | yes | characteristic |
| 43 | C22×C8×C11 | C2×C4 | 1 | 1 | yes | characteristic |
| 44 | C2×C42×C11 | C23 | 1 | 1 | yes | characteristic |
| 45 | #66983 | C2×C4 | 1 | 2 | yes | — |
| 46 | #66982 | — | 2 | 2 | no | — |
| 47 | C4×C22⋊D11 | — | 2 | 2 | no | — |
| 48 | #66977 | C2×C4 | 1 | 2 | yes | — |
| 49 | C22×C11⋊C8 | — | 2 | 2 | no | — |
| 50 | C2×Dic44 | C2×C4 | 1 | 1 | yes | characteristic |
| 51 | C2×D88 | C2×C4 | 1 | 1 | yes | characteristic |
| 52 | C2×#4314 | C2×C4 | 1 | 2 | yes | — |
| 53 | C2×#4313 | — | 2 | 2 | no | — |
| 54 | C2×C8×D11 | — | 2 | 2 | no | — |
| 55 | #66929 | — | 2 | 2 | no | — |
| 56 | #66928 | C2×C4 | 1 | 2 | yes | — |
| 57 | C4×D44 | C23 | 1 | 2 | yes | — |
| 58 | #66925 | — | 2 | 2 | no | — |
| 59 | #66923 | C2×C4 | 1 | 2 | yes | — |
| 60 | C4×Dic22 | C23 | 1 | 2 | yes | — |
| 61 | C11×C4⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 62 | C11×C4⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 63 | C11×C22⋊C8 | D4 | 1 | 2 | yes | — |
| 64 | C11×#97 | — | 2 | 1 | no | — |
| 65 | C4×C8×C11 | C2×C4 | 1 | 1 | yes | characteristic |
| 66 | C4×C8×C11 | C2×C4 | 1 | 1 | yes | characteristic |
| 67 | C4×C8×C11 | C23 | 1 | 2 | yes | — |
| 68 | C4×C8×C11 | C23 | 1 | 1 | yes | characteristic |
| 69 | C4×C8×C11 | C23 | 1 | 1 | yes | characteristic |
| 70 | C4×C8×C11 | C23 | 1 | 2 | yes | — |
| 71 | #66885 | C2×C4 | 1 | 2 | yes | — |
| 72 | #66885 | C2×C4 | 1 | 2 | yes | — |
| 73 | (C2×D11)⋊C8 | — | 2 | 2 | no | — |
| 74 | (C2×D11)⋊C8 | — | 2 | 2 | no | — |
| 75 | #66882 | C2×C4 | 1 | 1 | yes | characteristic |
| 76 | #66882 | C2×C4 | 1 | 1 | yes | characteristic |
| 77 | #66881 | C2×C4 | 1 | 2 | yes | — |
| 78 | #66880 | C2×C4 | 1 | 2 | yes | — |
| 79 | #66880 | C2×C4 | 1 | 2 | yes | — |
| 80 | #66879 | — | 2 | 2 | no | — |
| 81 | Dic11⋊C8 | — | 2 | 2 | no | — |
| 82 | Dic11⋊C8 | — | 2 | 2 | no | — |
| 83 | C8×Dic11 | — | 2 | 2 | no | — |
| 84 | C4⋊(C11⋊C8) | — | 2 | 2 | no | — |
| 85 | C4⋊(C11⋊C8) | C23 | 1 | 2 | yes | — |
| 86 | C4⋊(C11⋊C8) | C23 | 1 | 2 | yes | — |
| 87 | #18092 | — | 11 | 1 | no | maximal, Sylow |
| 88 | C22×C4×C11 | C22×C4 | 1 | 1 | yes | characteristic |
| 89 | C22×C4×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 90 | C22×C4×C11 | #41 | 1 | 1 | yes | characteristic |
| 91 | C2×C22⋊D11 | — | 2 | 2 | no | — |
| 92 | C2×D44 | C22×C4 | 1 | 2 | yes | — |
| 93 | C2×C4×D11 | — | 2 | 2 | no | — |
| 94 | C2×Dic22 | C22×C4 | 1 | 2 | yes | — |
| 95 | C11×M16 | — | 4 | 2 | no | — |
| 96 | C2×C8×C11 | — | 2 | 2 | no | — |
| 97 | C2×C8×C11 | — | 2 | 2 | no | — |
| 98 | C2×C8×C11 | — | 4 | 1 | no | — |
| 99 | C2×C8×C11 | C22×C4 | 1 | 1 | yes | characteristic |
| 100 | C2×C8×C11 | C22×C4 | 1 | 1 | yes | characteristic |
| 101 | C2×C8×C11 | C22×C4 | 1 | 1 | yes | characteristic |
| 102 | C2×C8×C11 | C22×C4 | 1 | 1 | yes | characteristic |
| 103 | C2×C8×C11 | C2×D4 | 1 | 2 | yes | — |
| 104 | C2×C8×C11 | C2×D4 | 1 | 2 | yes | — |
| 105 | C42×C11 | C22×C4 | 1 | 1 | yes | characteristic |
| 106 | C42×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 107 | C42×C11 | #41 | 1 | 1 | yes | characteristic |
| 108 | C42×C11 | C24 | 1 | 1 | yes | characteristic |
| 109 | C22⋊Dic11 | — | 2 | 2 | no | — |
| 110 | (C2×D11)⋊C4 | — | 2 | 2 | no | — |
| 111 | (C2×D11)⋊C4 | — | 2 | 2 | no | — |
| 112 | (C2×D11)⋊C4 | — | 2 | 2 | no | — |
| 113 | (C2×D11)⋊C4 | — | 2 | 2 | no | — |
| 114 | C4⋊Dic11 | C22×C4 | 1 | 2 | yes | — |
| 115 | C4⋊Dic11 | C22×C4 | 1 | 2 | yes | — |
| 116 | Dic11⋊C4 | — | 2 | 2 | no | — |
| 117 | Dic11⋊C4 | — | 2 | 2 | no | — |
| 118 | Dic11⋊C4 | — | 2 | 2 | no | — |
| 119 | Dic11⋊C4 | — | 2 | 2 | no | — |
| 120 | C4×Dic11 | — | 2 | 2 | no | — |
| 121 | C2×C11⋊C8 | — | 2 | 2 | no | — |
| 122 | C2×C11⋊C8 | — | 2 | 2 | no | — |
| 123 | C2×C11⋊C8 | — | 8 | 2 | no | — |
| 124 | Dic44 | — | 4 | 1 | no | — |
| 125 | D88 | — | 4 | 1 | no | — |
| 126 | #4314 | — | 2 | 4 | no | — |
| 127 | #4313 | — | 8 | 2 | no | — |
| 128 | C8×D11 | — | 8 | 2 | no | — |
| 129 | #3168 | — | 11 | 1 | no | — |
| 130 | #2994 | — | 11 | 2 | no | — |
| 131 | #1592 | — | 11 | 2 | no | — |
| 132 | #1584 | — | 11 | 2 | no | — |
| 133 | #1581 | — | 11 | 2 | no | — |
| 134 | SD16⋊C8 | — | 11 | 2 | no | — |
| 135 | C2×#335 | — | 11 | 1 | no | — |
| 136 | #1483 | — | 11 | 2 | no | — |
| 137 | #1451 | D11 | 1 | 1 | yes | characteristic, complemented |
| 138 | C23×C11 | C4×D4 | 1 | 1 | yes | characteristic |
| 139 | C22×D11 | — | 2 | 2 | no | — |
| 140 | C2×C4×C11 | — | 2 | 2 | no | — |
| 141 | C2×C4×C11 | — | 2 | 1 | no | — |
| 142 | C2×C4×C11 | — | 2 | 1 | no | — |
| 143 | C2×C4×C11 | — | 2 | 1 | no | — |
| 144 | C2×C4×C11 | — | 2 | 1 | no | — |
| 145 | C2×C4×C11 | C4×D4 | 1 | 1 | yes | characteristic |
| 146 | C2×C4×C11 | C4×D4 | 1 | 1 | yes | characteristic |
| 147 | C2×C4×C11 | C4×D4 | 1 | 1 | yes | characteristic |
| 148 | C2×C4×C11 | C23×C4 | 1 | 1 | yes | characteristic |
| 149 | C2×C4×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 150 | C2×C4×C11 | C2×#41 | 1 | 1 | yes | characteristic |
| 151 | C22⋊D11 | — | 4 | 4 | no | — |
| 152 | C2×Dic11 | — | 2 | 2 | no | — |
| 153 | C2×Dic11 | — | 2 | 2 | no | — |
| 154 | C2×Dic11 | — | 2 | 2 | no | — |
| 155 | D44 | — | 2 | 2 | no | — |
| 156 | D44 | — | 2 | 2 | no | — |
| 157 | C4×D11 | — | 4 | 2 | no | — |
| 158 | C4×D11 | — | 4 | 2 | no | — |
| 159 | Dic22 | — | 2 | 2 | no | — |
| 160 | Dic22 | — | 2 | 2 | no | — |
| 161 | C8×C11 | — | 2 | 1 | no | — |
| 162 | C8×C11 | — | 2 | 1 | no | — |
| 163 | C8×C11 | — | 2 | 1 | no | — |
| 164 | C8×C11 | — | 2 | 2 | no | — |
| 165 | C8×C11 | — | 2 | 2 | no | — |
| 166 | C8×C11 | — | 4 | 2 | no | — |
| 167 | C8×C11 | #131 | 1 | 2 | yes | — |
| 168 | C11⋊C8 | — | 4 | 2 | no | — |
| 169 | C11⋊C8 | — | 4 | 2 | no | — |
| 170 | #529 | — | 11 | 2 | no | — |
| 171 | #499 | — | 11 | 1 | no | — |
| 172 | #495 | — | 11 | 1 | no | — |
| 173 | #488 | — | 11 | 2 | no | — |
| 174 | #467 | — | 11 | 1 | no | — |
| 175 | #466 | — | 11 | 1 | no | — |
| 176 | #465 | — | 11 | 2 | no | — |
| 177 | #446 | — | 11 | 2 | no | — |
| 178 | C8×Q8 | — | 11 | 2 | no | — |
| 179 | C4×Q16 | — | 11 | 1 | no | — |
| 180 | C4×SD16 | — | 11 | 2 | no | — |
| 181 | C4×D8 | — | 11 | 1 | no | — |
| 182 | #436 | — | 11 | 2 | no | — |
| 183 | #435 | — | 22 | 2 | no | — |
| 184 | C8×D4 | — | 11 | 2 | no | — |
| 185 | C8×D4 | — | 22 | 2 | no | — |
| 186 | #433 | — | 22 | 2 | no | — |
| 187 | #431 | C2×D11 | 1 | 1 | yes | characteristic |
| 188 | #424 | — | 22 | 2 | no | — |
| 189 | C2×C4⋊C8 | — | 11 | 2 | no | — |
| 190 | C4×M16 | C2×D11 | 1 | 1 | yes | characteristic |
| 191 | C2×C4×C8 | C2×D11 | 1 | 1 | yes | characteristic |
| 192 | #335 | — | 11 | 1 | no | — |
| 193 | #335 | — | 11 | 2 | no | — |
| 194 | #335 | — | 11 | 1 | no | — |
| 195 | Q8⋊C8 | — | 11 | 2 | no | — |
| 196 | Q8⋊C8 | — | 11 | 2 | no | — |
| 197 | D4⋊C8 | — | 11 | 2 | no | — |
| 198 | D4⋊C8 | — | 11 | 2 | no | — |
| 199 | #322 | C2×D11 | 1 | 2 | yes | — |
| 200 | #322 | C2×D11 | 1 | 2 | yes | — |
| 201 | C22×C11 | — | 2 | 1 | no | — |
| 202 | C22×C11 | — | 2 | 1 | no | — |
| 203 | C22×C11 | #444 | 1 | 2 | yes | — |
| 204 | C22×C11 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 205 | C2×D11 | — | 4 | 2 | no | — |
| 206 | C2×D11 | — | 4 | 2 | no | — |
| 207 | C2×D11 | — | 4 | 2 | no | — |
| 208 | C4×C11 | — | 2 | 1 | no | — |
| 209 | C4×C11 | — | 2 | 1 | no | — |
| 210 | C4×C11 | — | 2 | 1 | no | — |
| 211 | C4×C11 | — | 2 | 1 | no | — |
| 212 | C4×C11 | C2×#131 | 1 | 1 | yes | characteristic |
| 213 | C4×C11 | #568 | 1 | 1 | yes | characteristic |
| 214 | C4×C11 | #576 | 1 | 1 | yes | characteristic |
| 215 | C4×C11 | #578 | 1 | 1 | yes | characteristic |
| 216 | Dic11 | — | 4 | 2 | no | — |
| 217 | Dic11 | — | 4 | 2 | no | — |
| 218 | Dic11 | — | 4 | 2 | no | — |
| 219 | C2×Q16 | — | 11 | 1 | no | — |
| 220 | C2×SD16 | — | 11 | 2 | no | — |
| 221 | C2×D8 | — | 11 | 1 | no | — |
| 222 | C2×M16 | — | 2 | 1 | no | — |
| 223 | C2×M16 | — | 22 | 2 | no | — |
| 224 | C22×C8 | — | 22 | 2 | no | — |
| 225 | C22×C8 | — | 22 | 2 | no | — |
| 226 | C22×C8 | C4×D11 | 1 | 1 | yes | characteristic |
| 227 | C22×C8 | C4×D11 | 1 | 1 | yes | characteristic |
| 228 | #126 | — | 22 | 2 | no | — |
| 229 | #125 | — | 11 | 2 | no | — |
| 230 | #124 | — | 11 | 2 | no | — |
| 231 | #123 | — | 22 | 2 | no | — |
| 232 | C22⋊Q8 | — | 11 | 2 | no | — |
| 233 | #121 | — | 11 | 2 | no | — |
| 234 | C4×Q8 | — | 11 | 2 | no | — |
| 235 | C4×D4 | — | 11 | 2 | no | — |
| 236 | C4×D4 | — | 22 | 2 | no | — |
| 237 | #117 | — | 22 | 2 | no | — |
| 238 | C2×C42 | C22×D11 | 1 | 1 | yes | characteristic |
| 239 | #107 | — | 11 | 1 | no | — |
| 240 | #107 | — | 11 | 1 | no | — |
| 241 | #106 | — | 11 | 2 | no | — |
| 242 | C4⋊C8 | — | 11 | 2 | no | — |
| 243 | C4⋊C8 | — | 11 | 2 | no | — |
| 244 | C4⋊C8 | — | 22 | 2 | no | — |
| 245 | C4⋊C8 | — | 22 | 2 | no | — |
| 246 | C4⋊C8 | — | 22 | 2 | no | — |
| 247 | C4⋊C8 | D44 | 1 | 1 | yes | characteristic |
| 248 | C4⋊C8 | D44 | 1 | 1 | yes | characteristic |
| 249 | #103 | — | 11 | 2 | no | — |
| 250 | #103 | — | 11 | 2 | no | — |
| 251 | #102 | — | 11 | 2 | no | — |
| 252 | #102 | — | 11 | 2 | no | — |
| 253 | C22⋊C8 | — | 22 | 2 | no | — |
| 254 | C22⋊C8 | — | 22 | 2 | no | — |
| 255 | C22⋊C8 | D44 | 1 | 2 | yes | — |
| 256 | #97 | — | 2 | 1 | no | — |
| 257 | #97 | — | 22 | 2 | no | — |
| 258 | C4×C8 | — | 22 | 2 | no | — |
| 259 | C4×C8 | C4×D11 | 1 | 1 | yes | characteristic |
| 260 | C4×C8 | C4×D11 | 1 | 1 | yes | characteristic |
| 261 | C4×C8 | C22×D11 | 1 | 2 | yes | — |
| 262 | C4×C8 | C22×D11 | 1 | 1 | yes | characteristic |
| 263 | C4×C8 | C22×D11 | 1 | 1 | yes | characteristic |
| 264 | C4×C8 | C22×D11 | 1 | 2 | yes | — |
| 265 | C2×C11 | — | 2 | 2 | no | — |
| 266 | C2×C11 | #2935 | 1 | 1 | yes | characteristic |
| 267 | C2×C11 | #2951 | 1 | 1 | yes | characteristic |
| 268 | C2×C11 | C2×#444 | 1 | 1 | yes | characteristic |
| 269 | D11 | — | 8 | 2 | no | — |
| 270 | C2×Q8 | — | 11 | 2 | no | — |
| 271 | C2×D4 | — | 11 | 2 | no | — |
| 272 | C2×D4 | — | 22 | 2 | no | — |
| 273 | C22×C4 | — | 22 | 2 | no | — |
| 274 | C22×C4 | C2×C4×D11 | 1 | 1 | yes | characteristic |
| 275 | C22×C4 | C2×D44 | 1 | 1 | yes | characteristic |
| 276 | C22×C4 | #4339 | 1 | 1 | yes | characteristic |
| 277 | Q16 | — | 44 | 1 | no | — |
| 278 | SD16 | — | 22 | 4 | no | — |
| 279 | D8 | — | 44 | 1 | no | — |
| 280 | M16 | — | 4 | 2 | no | — |
| 281 | M16 | — | 88 | 2 | no | — |
| 282 | C2×C8 | — | 2 | 2 | no | — |
| 283 | C2×C8 | — | 2 | 2 | no | — |
| 284 | C2×C8 | — | 4 | 1 | no | — |
| 285 | C2×C8 | — | 22 | 2 | no | — |
| 286 | C2×C8 | — | 22 | 2 | no | — |
| 287 | C2×C8 | — | 88 | 2 | no | — |
| 288 | C2×C8 | — | 88 | 2 | no | — |
| 289 | C2×C8 | C2×C4×D11 | 1 | 1 | yes | characteristic |
| 290 | C2×C8 | C2×C4×D11 | 1 | 1 | yes | characteristic |
| 291 | C2×C8 | C2×C4×D11 | 1 | 1 | yes | characteristic |
| 292 | C2×C8 | C2×C4×D11 | 1 | 1 | yes | characteristic |
| 293 | C2×C8 | C2×D44 | 1 | 2 | yes | — |
| 294 | C2×C8 | C2×D44 | 1 | 2 | yes | — |
| 295 | C4⋊C4 | — | 11 | 2 | no | — |
| 296 | C4⋊C4 | — | 11 | 2 | no | — |
| 297 | C4⋊C4 | — | 22 | 2 | no | — |
| 298 | C4⋊C4 | — | 22 | 2 | no | — |
| 299 | C4⋊C4 | — | 22 | 2 | no | — |
| 300 | C4⋊C4 | — | 22 | 2 | no | — |
| 301 | C22⋊C4 | — | 22 | 2 | no | — |
| 302 | C22⋊C4 | — | 22 | 2 | no | — |
| 303 | C22⋊C4 | — | 22 | 2 | no | — |
| 304 | C22⋊C4 | — | 22 | 2 | no | — |
| 305 | C22⋊C4 | — | 22 | 2 | no | — |
| 306 | C42 | — | 22 | 2 | no | — |
| 307 | C42 | C2×C4×D11 | 1 | 1 | yes | characteristic |
| 308 | C42 | C2×D44 | 1 | 1 | yes | characteristic |
| 309 | C42 | #4339 | 1 | 1 | yes | characteristic |
| 310 | C42 | C23×D11 | 1 | 1 | yes | characteristic |
| 311 | C11 | #18092 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 312 | C23 | — | 22 | 2 | no | — |
| 313 | C23 | C4×D44 | 1 | 1 | yes | characteristic |
| 314 | Q8 | — | 22 | 2 | no | — |
| 315 | Q8 | — | 22 | 2 | no | — |
| 316 | D4 | — | 22 | 2 | no | — |
| 317 | D4 | — | 22 | 2 | no | — |
| 318 | D4 | — | 44 | 4 | no | — |
| 319 | C2×C4 | — | 2 | 2 | no | — |
| 320 | C2×C4 | — | 2 | 1 | no | — |
| 321 | C2×C4 | — | 2 | 1 | no | — |
| 322 | C2×C4 | — | 2 | 1 | no | — |
| 323 | C2×C4 | — | 2 | 1 | no | — |
| 324 | C2×C4 | — | 22 | 2 | no | — |
| 325 | C2×C4 | — | 22 | 2 | no | — |
| 326 | C2×C4 | — | 22 | 2 | no | — |
| 327 | C2×C4 | — | 44 | 2 | no | — |
| 328 | C2×C4 | — | 44 | 2 | no | — |
| 329 | C2×C4 | C4×D44 | 1 | 1 | yes | characteristic |
| 330 | C2×C4 | C4×D44 | 1 | 1 | yes | characteristic |
| 331 | C2×C4 | C4×D44 | 1 | 1 | yes | characteristic |
| 332 | C2×C4 | C22×C4×D11 | 1 | 1 | yes | characteristic |
| 333 | C2×C4 | C22×D44 | 1 | 1 | yes | characteristic |
| 334 | C2×C4 | C2×#4339 | 1 | 1 | yes | characteristic |
| 335 | C8 | — | 2 | 1 | no | — |
| 336 | C8 | — | 2 | 1 | no | — |
| 337 | C8 | — | 2 | 1 | no | — |
| 338 | C8 | — | 2 | 2 | no | — |
| 339 | C8 | — | 2 | 2 | no | — |
| 340 | C8 | — | 4 | 2 | no | — |
| 341 | C8 | — | 44 | 2 | no | — |
| 342 | C8 | — | 44 | 2 | no | — |
| 343 | C8 | #66960 | 1 | 2 | yes | — |
| 344 | C22 | — | 2 | 1 | no | — |
| 345 | C22 | — | 2 | 1 | no | — |
| 346 | C22 | — | 44 | 2 | no | — |
| 347 | C22 | — | 44 | 2 | no | — |
| 348 | C22 | — | 44 | 2 | no | — |
| 349 | C22 | #10622330 | 1 | 2 | yes | — |
| 350 | C22 | C2×C4×D44 | 1 | 1 | yes | characteristic |
| 351 | C4 | — | 2 | 1 | no | — |
| 352 | C4 | — | 2 | 1 | no | — |
| 353 | C4 | — | 2 | 1 | no | — |
| 354 | C4 | — | 2 | 1 | no | — |
| 355 | C4 | — | 44 | 2 | no | — |
| 356 | C4 | — | 44 | 2 | no | — |
| 357 | C4 | — | 44 | 2 | no | — |
| 358 | C4 | C2×#66960 | 1 | 1 | yes | characteristic |
| 359 | C4 | #10623276 | 1 | 1 | yes | characteristic |
| 360 | C4 | #10623283 | 1 | 1 | yes | characteristic |
| 361 | C4 | #10623284 | 1 | 1 | yes | characteristic |
| 362 | C2 | — | 2 | 2 | no | — |
| 363 | C2 | — | 88 | 2 | no | — |
| 364 | C2 | #13077362 | 1 | 1 | yes | characteristic |
| 365 | C2 | #13077493 | 1 | 1 | yes | characteristic |
| 366 | C2 | C2×#10622330 | 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