← #14907240
Subgroups — #14907240
Order 2816.
632 conjugacy classes of subgroups.
The subgroup lattice has 352 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C2×#10622808 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #13077485 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13070507 | C2 | 1 | 8 | yes | maximal, complemented |
| 4 | #13070390 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#10622134 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13070352 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #13070221 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C11×#2957 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | C2×C11×#135 | C22 | 1 | 1 | yes | characteristic |
| 10 | C11×#568 | — | 2 | 1 | no | — |
| 11 | C22×Dic44 | C22 | 1 | 1 | yes | characteristic |
| 12 | #10623047 | — | 2 | 1 | no | — |
| 13 | C11×#444 | C22 | 1 | 4 | yes | — |
| 14 | C11×#443 | — | 2 | 2 | no | — |
| 15 | C2×C11×#108 | C22 | 1 | 1 | yes | characteristic |
| 16 | C11×#421 | — | 2 | 1 | no | — |
| 17 | C11×#405 | C22 | 1 | 1 | yes | characteristic |
| 18 | #10622808 | C4 | 1 | 4 | yes | complemented |
| 19 | #10622808 | C22 | 1 | 4 | yes | — |
| 20 | C2×#66893 | C4 | 1 | 2 | yes | complemented |
| 21 | C2×#66891 | C4 | 1 | 2 | yes | complemented |
| 22 | #10622733 | — | 2 | 1 | no | — |
| 23 | #10622719 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#66876 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#66876 | C22 | 1 | 1 | yes | characteristic |
| 26 | #10622329 | C22 | 1 | 4 | yes | complemented |
| 27 | C4×Dic44 | — | 2 | 2 | no | — |
| 28 | #10622204 | C22 | 1 | 4 | yes | — |
| 29 | #10622134 | C22 | 1 | 4 | yes | complemented |
| 30 | #10622132 | C22 | 1 | 4 | yes | complemented |
| 31 | #10622104 | C22 | 1 | 4 | yes | complemented |
| 32 | C2×C11×#41 | — | 2 | 1 | no | — |
| 33 | C22×Dic22 | — | 2 | 1 | no | — |
| 34 | C11×#135 | — | 2 | 1 | no | — |
| 35 | C11×#135 | — | 2 | 1 | no | — |
| 36 | C11×#135 | C2×C4 | 1 | 2 | yes | — |
| 37 | C11×#135 | C23 | 1 | 2 | yes | — |
| 38 | C2×C11×Q16 | C2×C4 | 1 | 1 | yes | characteristic |
| 39 | C2×C11×SD16 | — | 2 | 1 | no | — |
| 40 | C2×C11×D8 | C2×C4 | 1 | 1 | yes | characteristic |
| 41 | C11×#131 | — | 2 | 4 | no | — |
| 42 | C11×#131 | — | 4 | 2 | no | — |
| 43 | C2×C11×M16 | — | 2 | 1 | no | — |
| 44 | C2×C11×M16 | — | 4 | 2 | no | — |
| 45 | C2×C11×M16 | D4 | 1 | 1 | yes | characteristic |
| 46 | C22×C8×C11 | C23 | 1 | 1 | yes | characteristic |
| 47 | C11×#117 | D4 | 1 | 1 | yes | characteristic |
| 48 | #66979 | — | 2 | 1 | no | — |
| 49 | C2×Dic44 | — | 2 | 1 | no | — |
| 50 | C2×Dic44 | — | 2 | 1 | no | — |
| 51 | C2×Dic44 | — | 2 | 1 | no | — |
| 52 | C2×Dic44 | C2×C4 | 1 | 2 | yes | — |
| 53 | C2×Dic44 | C2×C4 | 1 | 2 | yes | — |
| 54 | C2×Dic44 | C23 | 1 | 2 | yes | — |
| 55 | #66940 | — | 4 | 2 | no | — |
| 56 | #66930 | — | 4 | 2 | no | — |
| 57 | C4×Dic22 | — | 2 | 4 | no | — |
| 58 | C11×#108 | — | 2 | 1 | no | — |
| 59 | C11×#108 | C23 | 1 | 2 | yes | — |
| 60 | C11×#104 | — | 2 | 4 | no | — |
| 61 | C11×#97 | C23 | 1 | 2 | yes | — |
| 62 | C4×C8×C11 | D4 | 1 | 2 | yes | — |
| 63 | #66893 | C2×C4 | 1 | 8 | yes | — |
| 64 | #66891 | C2×C4 | 1 | 8 | yes | — |
| 65 | #66882 | — | 2 | 1 | no | — |
| 66 | #66881 | C23 | 1 | 2 | yes | — |
| 67 | #66880 | — | 2 | 4 | no | — |
| 68 | #66876 | — | 2 | 1 | no | — |
| 69 | #66876 | C2×C4 | 1 | 2 | yes | — |
| 70 | #66876 | C23 | 1 | 2 | yes | — |
| 71 | #66876 | C23 | 1 | 2 | yes | — |
| 72 | C2×C11⋊C16 | — | 2 | 1 | no | — |
| 73 | C2×C11⋊C16 | C2×C4 | 1 | 2 | yes | — |
| 74 | #33470 | — | 11 | 1 | no | maximal, Sylow |
| 75 | C11×#41 | — | 2 | 2 | no | — |
| 76 | C11×#41 | — | 2 | 2 | no | — |
| 77 | C11×#41 | — | 4 | 1 | no | — |
| 78 | C11×#41 | — | 4 | 1 | no | — |
| 79 | C2×Q8×C11 | — | 2 | 1 | no | — |
| 80 | C2×D4×C11 | — | 2 | 1 | no | — |
| 81 | C2×D4×C11 | — | 4 | 1 | no | — |
| 82 | C22×C4×C11 | — | 4 | 1 | no | — |
| 83 | C22×C4×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 84 | C22×Dic11 | — | 4 | 1 | no | — |
| 85 | C2×Dic22 | — | 2 | 2 | no | — |
| 86 | C2×Dic22 | — | 2 | 2 | no | — |
| 87 | C2×Dic22 | — | 2 | 2 | no | — |
| 88 | C2×Dic22 | — | 4 | 1 | no | — |
| 89 | C2×Dic22 | — | 4 | 1 | no | — |
| 90 | C2×Dic22 | — | 4 | 1 | no | — |
| 91 | C11×Q16 | — | 2 | 1 | no | — |
| 92 | C11×Q16 | C22×C4 | 1 | 2 | yes | — |
| 93 | C11×SD16 | — | 2 | 2 | no | — |
| 94 | C11×SD16 | — | 2 | 2 | no | — |
| 95 | C11×D8 | — | 2 | 1 | no | — |
| 96 | C11×D8 | C22×C4 | 1 | 2 | yes | — |
| 97 | C11×M16 | — | 2 | 1 | no | — |
| 98 | C11×M16 | — | 2 | 1 | no | — |
| 99 | C11×M16 | — | 2 | 2 | no | — |
| 100 | C11×M16 | — | 4 | 4 | no | — |
| 101 | C11×M16 | — | 4 | 1 | no | — |
| 102 | C2×C8×C11 | — | 4 | 4 | no | — |
| 103 | C2×C8×C11 | — | 4 | 1 | no | — |
| 104 | C2×C8×C11 | C22×C4 | 1 | 1 | yes | characteristic |
| 105 | C2×C8×C11 | C22×C4 | 1 | 1 | yes | characteristic |
| 106 | C2×C8×C11 | C2×D4 | 1 | 2 | yes | — |
| 107 | C2×C8×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 108 | C2×C8×C11 | #41 | 1 | 1 | yes | characteristic |
| 109 | C2×C8×C11 | #41 | 1 | 1 | yes | characteristic |
| 110 | C2×C8×C11 | C24 | 1 | 1 | yes | characteristic |
| 111 | C11×C4⋊C4 | — | 2 | 1 | no | — |
| 112 | C11×C22⋊C4 | — | 2 | 1 | no | — |
| 113 | C42×C11 | C2×D4 | 1 | 2 | yes | — |
| 114 | C22⋊Dic11 | — | 4 | 1 | no | — |
| 115 | C4⋊Dic11 | — | 2 | 2 | no | — |
| 116 | Dic11⋊C4 | — | 4 | 4 | no | — |
| 117 | C4×Dic11 | — | 4 | 4 | no | — |
| 118 | C4×Dic11 | — | 4 | 1 | no | — |
| 119 | Dic44 | — | 2 | 2 | no | — |
| 120 | Dic44 | — | 2 | 2 | no | — |
| 121 | Dic44 | — | 2 | 2 | no | — |
| 122 | Dic44 | C22×C4 | 1 | 4 | yes | — |
| 123 | C11⋊C16 | — | 2 | 2 | no | — |
| 124 | C11⋊C16 | C22×C4 | 1 | 4 | yes | — |
| 125 | C2×#510 | — | 11 | 1 | no | — |
| 126 | #2957 | D11 | 1 | 1 | yes | characteristic |
| 127 | #2950 | — | 11 | 1 | no | — |
| 128 | #2180 | — | 11 | 8 | no | — |
| 129 | #2155 | — | 11 | 1 | no | — |
| 130 | C2×#362 | — | 11 | 1 | no | — |
| 131 | #2145 | — | 11 | 1 | no | — |
| 132 | #2110 | — | 11 | 1 | no | — |
| 133 | C23×C11 | — | 4 | 1 | no | — |
| 134 | C23×C11 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 135 | Q8×C11 | — | 2 | 2 | no | — |
| 136 | Q8×C11 | — | 4 | 1 | no | — |
| 137 | D4×C11 | — | 2 | 2 | no | — |
| 138 | D4×C11 | — | 4 | 2 | no | — |
| 139 | D4×C11 | — | 4 | 2 | no | — |
| 140 | D4×C11 | — | 4 | 1 | no | — |
| 141 | C2×C4×C11 | — | 2 | 2 | no | — |
| 142 | C2×C4×C11 | — | 4 | 1 | no | — |
| 143 | C2×C4×C11 | — | 4 | 2 | no | — |
| 144 | C2×C4×C11 | — | 4 | 2 | 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 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 148 | C2×C4×C11 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 149 | C2×C4×C11 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 150 | C2×C4×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 151 | C2×Dic11 | — | 4 | 2 | no | — |
| 152 | C2×Dic11 | — | 4 | 2 | no | — |
| 153 | C2×Dic11 | — | 4 | 2 | no | — |
| 154 | C2×Dic11 | — | 4 | 2 | no | — |
| 155 | Dic22 | — | 2 | 4 | no | — |
| 156 | Dic22 | — | 4 | 2 | no | — |
| 157 | Dic22 | — | 4 | 2 | no | — |
| 158 | Dic22 | — | 4 | 2 | no | — |
| 159 | C8×C11 | — | 2 | 2 | no | — |
| 160 | C8×C11 | — | 4 | 2 | no | — |
| 161 | C8×C11 | C4×D4 | 1 | 1 | yes | characteristic |
| 162 | C8×C11 | C4×D4 | 1 | 1 | yes | characteristic |
| 163 | C8×C11 | C23×C4 | 1 | 1 | yes | characteristic |
| 164 | C8×C11 | C2×#41 | 1 | 1 | yes | characteristic |
| 165 | C2×#135 | C2×D11 | 1 | 1 | yes | characteristic |
| 166 | C22×Q16 | — | 11 | 1 | no | — |
| 167 | #568 | — | 2 | 1 | no | — |
| 168 | #519 | — | 22 | 1 | no | — |
| 169 | #510 | — | 11 | 4 | no | — |
| 170 | #510 | — | 11 | 4 | no | — |
| 171 | C2×Q32 | — | 11 | 2 | no | — |
| 172 | C2×SD32 | — | 11 | 2 | no | — |
| 173 | C2×M32 | — | 11 | 1 | no | — |
| 174 | C2×M32 | — | 11 | 1 | no | — |
| 175 | #444 | C2×D11 | 1 | 4 | yes | — |
| 176 | #443 | — | 2 | 2 | no | — |
| 177 | #441 | — | 11 | 4 | no | — |
| 178 | C4×Q16 | — | 22 | 2 | no | — |
| 179 | C2×#108 | C2×D11 | 1 | 1 | yes | characteristic |
| 180 | #427 | — | 11 | 1 | no | — |
| 181 | #421 | — | 2 | 1 | no | — |
| 182 | #419 | — | 22 | 1 | no | — |
| 183 | #405 | C2×D11 | 1 | 1 | yes | characteristic |
| 184 | #365 | — | 11 | 4 | no | — |
| 185 | #362 | — | 11 | 4 | no | — |
| 186 | #360 | — | 11 | 4 | no | — |
| 187 | #347 | — | 11 | 4 | no | — |
| 188 | C22×C11 | — | 4 | 1 | no | — |
| 189 | C22×C11 | — | 4 | 2 | no | — |
| 190 | C22×C11 | — | 16 | 1 | no | — |
| 191 | C22×C11 | #442 | 1 | 1 | yes | characteristic |
| 192 | C22×C11 | #442 | 1 | 1 | yes | characteristic |
| 193 | C22×C11 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 194 | C4×C11 | — | 4 | 2 | no | — |
| 195 | C4×C11 | — | 4 | 2 | no | — |
| 196 | C4×C11 | #442 | 1 | 1 | yes | characteristic |
| 197 | C4×C11 | #442 | 1 | 1 | yes | characteristic |
| 198 | C4×C11 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 199 | C4×C11 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 200 | Dic11 | — | 4 | 4 | no | — |
| 201 | Dic11 | — | 8 | 2 | no | — |
| 202 | C2×#41 | — | 2 | 1 | no | — |
| 203 | C22×Q8 | — | 22 | 1 | no | — |
| 204 | #135 | — | 2 | 1 | no | — |
| 205 | #135 | — | 2 | 1 | no | — |
| 206 | #135 | C4×D11 | 1 | 2 | yes | — |
| 207 | #135 | C22×D11 | 1 | 2 | yes | — |
| 208 | C2×Q16 | — | 11 | 2 | no | — |
| 209 | C2×Q16 | — | 11 | 2 | no | — |
| 210 | C2×Q16 | — | 11 | 2 | no | — |
| 211 | C2×Q16 | — | 22 | 1 | no | — |
| 212 | C2×Q16 | — | 22 | 1 | no | — |
| 213 | C2×Q16 | — | 22 | 1 | no | — |
| 214 | C2×Q16 | C4×D11 | 1 | 1 | yes | characteristic |
| 215 | C2×SD16 | — | 2 | 1 | no | — |
| 216 | C2×D8 | C4×D11 | 1 | 1 | yes | characteristic |
| 217 | #131 | — | 2 | 4 | no | — |
| 218 | #131 | — | 4 | 2 | no | — |
| 219 | C2×M16 | — | 2 | 1 | no | — |
| 220 | C2×M16 | — | 4 | 2 | no | — |
| 221 | C2×M16 | C22⋊D11 | 1 | 1 | yes | characteristic |
| 222 | C22×C8 | C22×D11 | 1 | 1 | yes | characteristic |
| 223 | C4×Q8 | — | 22 | 4 | no | — |
| 224 | C4×Q8 | — | 44 | 2 | no | — |
| 225 | #117 | — | 22 | 1 | no | — |
| 226 | #117 | — | 44 | 2 | no | — |
| 227 | #117 | C22⋊D11 | 1 | 1 | yes | characteristic |
| 228 | Q32 | — | 11 | 8 | no | — |
| 229 | SD32 | — | 11 | 8 | no | — |
| 230 | M32 | — | 11 | 2 | no | — |
| 231 | M32 | — | 11 | 2 | no | — |
| 232 | M32 | — | 11 | 2 | no | — |
| 233 | M32 | — | 22 | 1 | no | — |
| 234 | C2×C16 | — | 11 | 2 | no | — |
| 235 | C2×C16 | — | 22 | 1 | no | — |
| 236 | #108 | — | 2 | 1 | no | — |
| 237 | #108 | C22×D11 | 1 | 2 | yes | — |
| 238 | #107 | — | 22 | 1 | no | — |
| 239 | #106 | — | 11 | 2 | no | — |
| 240 | #104 | — | 2 | 4 | no | — |
| 241 | #103 | — | 22 | 4 | no | — |
| 242 | #97 | C22×D11 | 1 | 2 | yes | — |
| 243 | C4×C8 | C22⋊D11 | 1 | 2 | yes | — |
| 244 | C2×C11 | — | 2 | 1 | no | — |
| 245 | C2×C11 | — | 2 | 1 | no | — |
| 246 | C2×C11 | — | 2 | 1 | no | — |
| 247 | C2×C11 | — | 8 | 2 | no | — |
| 248 | C2×C11 | C2×#442 | 1 | 1 | yes | characteristic |
| 249 | #41 | — | 2 | 2 | no | — |
| 250 | #41 | — | 2 | 2 | no | — |
| 251 | #41 | — | 4 | 1 | no | — |
| 252 | #41 | — | 4 | 1 | no | — |
| 253 | C2×Q8 | — | 2 | 1 | no | — |
| 254 | C2×Q8 | — | 22 | 2 | no | — |
| 255 | C2×Q8 | — | 22 | 2 | no | — |
| 256 | C2×Q8 | — | 22 | 2 | no | — |
| 257 | C2×Q8 | — | 44 | 1 | no | — |
| 258 | C2×Q8 | — | 44 | 1 | no | — |
| 259 | C2×Q8 | — | 44 | 1 | no | — |
| 260 | C2×D4 | — | 2 | 1 | no | — |
| 261 | C2×D4 | — | 4 | 1 | no | — |
| 262 | C22×C4 | — | 4 | 1 | no | — |
| 263 | C22×C4 | — | 44 | 1 | no | — |
| 264 | C22×C4 | C2×C22⋊D11 | 1 | 1 | yes | characteristic |
| 265 | Q16 | — | 2 | 1 | no | — |
| 266 | Q16 | — | 11 | 4 | no | — |
| 267 | Q16 | — | 22 | 2 | no | — |
| 268 | Q16 | — | 22 | 2 | no | — |
| 269 | Q16 | — | 22 | 2 | no | — |
| 270 | Q16 | C2×C4×D11 | 1 | 2 | yes | — |
| 271 | SD16 | — | 2 | 2 | no | — |
| 272 | SD16 | — | 2 | 2 | no | — |
| 273 | D8 | — | 2 | 1 | no | — |
| 274 | D8 | C2×C4×D11 | 1 | 2 | yes | — |
| 275 | M16 | — | 2 | 1 | no | — |
| 276 | M16 | — | 2 | 1 | no | — |
| 277 | M16 | — | 2 | 2 | no | — |
| 278 | M16 | — | 4 | 4 | no | — |
| 279 | M16 | — | 4 | 1 | no | — |
| 280 | C2×C8 | — | 4 | 4 | no | — |
| 281 | C2×C8 | — | 4 | 1 | no | — |
| 282 | C2×C8 | C2×C4×D11 | 1 | 1 | yes | characteristic |
| 283 | C2×C8 | C2×C4×D11 | 1 | 1 | yes | characteristic |
| 284 | C2×C8 | #4339 | 1 | 1 | yes | characteristic |
| 285 | C2×C8 | #4339 | 1 | 1 | yes | characteristic |
| 286 | C2×C8 | C2×C22⋊D11 | 1 | 2 | yes | — |
| 287 | C2×C8 | C2×C22⋊D11 | 1 | 1 | yes | characteristic |
| 288 | C2×C8 | C23×D11 | 1 | 1 | yes | characteristic |
| 289 | C4⋊C4 | — | 2 | 1 | no | — |
| 290 | C4⋊C4 | — | 22 | 2 | no | — |
| 291 | C4⋊C4 | — | 44 | 4 | no | — |
| 292 | C22⋊C4 | — | 2 | 1 | no | — |
| 293 | C22⋊C4 | — | 44 | 1 | no | — |
| 294 | C42 | — | 44 | 4 | no | — |
| 295 | C42 | — | 44 | 1 | no | — |
| 296 | C42 | C2×C22⋊D11 | 1 | 2 | yes | — |
| 297 | C16 | — | 11 | 4 | no | — |
| 298 | C16 | — | 22 | 2 | no | — |
| 299 | C11 | #33470 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 300 | C23 | — | 4 | 1 | no | — |
| 301 | C23 | #67002 | 1 | 1 | yes | characteristic |
| 302 | Q8 | — | 2 | 2 | no | — |
| 303 | Q8 | — | 4 | 1 | no | — |
| 304 | Q8 | — | 22 | 4 | no | — |
| 305 | Q8 | — | 44 | 2 | no | — |
| 306 | Q8 | — | 44 | 2 | no | — |
| 307 | Q8 | — | 44 | 2 | no | — |
| 308 | D4 | — | 2 | 2 | no | — |
| 309 | D4 | — | 4 | 2 | no | — |
| 310 | D4 | — | 4 | 2 | no | — |
| 311 | D4 | — | 4 | 1 | no | — |
| 312 | C2×C4 | — | 2 | 2 | no | — |
| 313 | C2×C4 | — | 4 | 1 | no | — |
| 314 | C2×C4 | — | 4 | 2 | no | — |
| 315 | C2×C4 | — | 4 | 2 | no | — |
| 316 | C2×C4 | — | 44 | 2 | no | — |
| 317 | C2×C4 | — | 44 | 2 | no | — |
| 318 | C2×C4 | — | 44 | 2 | no | — |
| 319 | C2×C4 | — | 44 | 2 | no | — |
| 320 | C2×C4 | C4×C22⋊D11 | 1 | 1 | yes | characteristic |
| 321 | C2×C4 | C4×C22⋊D11 | 1 | 1 | yes | characteristic |
| 322 | C2×C4 | #66985 | 1 | 1 | yes | characteristic |
| 323 | C2×C4 | #66985 | 1 | 1 | yes | characteristic |
| 324 | C2×C4 | #67002 | 1 | 1 | yes | characteristic |
| 325 | C2×C4 | C22×C22⋊D11 | 1 | 1 | yes | characteristic |
| 326 | C8 | — | 2 | 2 | no | — |
| 327 | C8 | — | 4 | 2 | no | — |
| 328 | C8 | C4×C22⋊D11 | 1 | 1 | yes | characteristic |
| 329 | C8 | C4×C22⋊D11 | 1 | 1 | yes | characteristic |
| 330 | C8 | C22×C4×D11 | 1 | 1 | yes | characteristic |
| 331 | C8 | C2×#4339 | 1 | 1 | yes | characteristic |
| 332 | C22 | — | 4 | 1 | no | — |
| 333 | C22 | — | 4 | 2 | no | — |
| 334 | C22 | — | 16 | 1 | no | — |
| 335 | C22 | #10622627 | 1 | 1 | yes | characteristic |
| 336 | C22 | #10622627 | 1 | 1 | yes | characteristic |
| 337 | C22 | C2×#67002 | 1 | 1 | yes | characteristic |
| 338 | C4 | — | 4 | 2 | no | — |
| 339 | C4 | — | 4 | 2 | no | — |
| 340 | C4 | — | 44 | 4 | no | — |
| 341 | C4 | — | 88 | 2 | no | — |
| 342 | C4 | #10622627 | 1 | 1 | yes | characteristic |
| 343 | C4 | #10622627 | 1 | 1 | yes | characteristic |
| 344 | C4 | C2×C4×C22⋊D11 | 1 | 1 | yes | characteristic |
| 345 | C4 | C2×#66985 | 1 | 1 | yes | characteristic |
| 346 | C2 | — | 2 | 1 | no | — |
| 347 | C2 | — | 2 | 1 | no | — |
| 348 | C2 | — | 2 | 1 | no | — |
| 349 | C2 | — | 8 | 2 | no | — |
| 350 | C2 | C2×#10622627 | 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