← #11895508
Subgroups — #11895508
Order 1152.
1008 conjugacy classes of subgroups.
The subgroup lattice has 348 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C32×#556 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #10596038 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10592789 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10592778 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10592755 | C2 | 1 | 2 | yes | maximal |
| 6 | #10592753 | C2 | 1 | 2 | yes | maximal |
| 7 | C4×#3756 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | Q8×C3⋊(C3⋊C8) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10592721 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | C4×#3754 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | #10592706 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #83676 | — | 3 | 4 | no | maximal |
| 13 | C32×C4⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 14 | C32×#126 | — | 2 | 2 | no | — |
| 15 | C32×#124 | C22 | 1 | 2 | yes | — |
| 16 | C32×C22⋊Q8 | — | 2 | 1 | no | — |
| 17 | C32×C4×Q8 | C22 | 1 | 2 | yes | — |
| 18 | C32×C4×Q8 | C22 | 1 | 1 | yes | characteristic |
| 19 | C32×C4×D4 | C22 | 1 | 1 | yes | characteristic |
| 20 | C32×#117 | — | 2 | 1 | no | — |
| 21 | #64153 | — | 2 | 1 | no | — |
| 22 | C2×#3756 | C22 | 1 | 2 | yes | — |
| 23 | C2×#3754 | C22 | 1 | 1 | yes | characteristic |
| 24 | #64098 | — | 2 | 2 | no | — |
| 25 | #64096 | — | 2 | 1 | no | — |
| 26 | #64079 | C22 | 1 | 2 | yes | — |
| 27 | #64078 | C22 | 1 | 1 | yes | characteristic |
| 28 | C4×#634 | C22 | 1 | 1 | yes | characteristic |
| 29 | C4×#634 | C22 | 1 | 2 | yes | — |
| 30 | #63662 | C22 | 1 | 2 | yes | — |
| 31 | #63662 | C22 | 1 | 2 | yes | — |
| 32 | #63662 | C22 | 1 | 2 | yes | — |
| 33 | #63659 | C22 | 1 | 2 | yes | — |
| 34 | #63659 | C22 | 1 | 1 | yes | characteristic |
| 35 | #63637 | C22 | 1 | 1 | yes | characteristic |
| 36 | #63635 | C22 | 1 | 1 | yes | characteristic |
| 37 | #63634 | C22 | 1 | 2 | yes | — |
| 38 | C4⋊(C3⋊(C3⋊C8)) | C22 | 1 | 1 | yes | characteristic |
| 39 | C4⋊(C3⋊(C3⋊C8)) | C22 | 1 | 2 | yes | — |
| 40 | C4×C3⋊(C3⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 41 | C4×C3⋊(C3⋊C8) | C22 | 1 | 2 | yes | — |
| 42 | C3×#556 | D3 | 1 | 4 | yes | — |
| 43 | #5567 | — | 3 | 4 | no | — |
| 44 | #5090 | — | 3 | 4 | no | — |
| 45 | #5079 | — | 3 | 4 | no | — |
| 46 | #5056 | — | 3 | 8 | no | — |
| 47 | #5054 | — | 3 | 8 | no | — |
| 48 | C4×#216 | — | 3 | 8 | no | — |
| 49 | Q8×C3⋊C8 | — | 3 | 4 | no | — |
| 50 | #5022 | — | 3 | 8 | no | — |
| 51 | C4×#214 | — | 3 | 4 | no | — |
| 52 | #5007 | — | 3 | 4 | no | — |
| 53 | C2×C32×Q8 | D4 | 1 | 1 | yes | characteristic |
| 54 | C2×C32×Q8 | C23 | 1 | 2 | yes | — |
| 55 | C2×C32×D4 | C23 | 1 | 1 | yes | characteristic |
| 56 | C22×C32×C4 | — | 2 | 1 | no | — |
| 57 | C2×#634 | — | 2 | 1 | no | — |
| 58 | C2×#634 | C23 | 1 | 1 | yes | characteristic |
| 59 | C32×C4⋊C4 | — | 2 | 1 | no | — |
| 60 | C32×C4⋊C4 | — | 2 | 2 | no | — |
| 61 | C32×C4⋊C4 | — | 2 | 1 | no | — |
| 62 | C32×C4⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 63 | C32×C4⋊C4 | D4 | 1 | 2 | yes | — |
| 64 | C32×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 65 | C32×C22⋊C4 | — | 2 | 2 | no | — |
| 66 | C32×C22⋊C4 | — | 2 | 1 | no | — |
| 67 | C32×C22⋊C4 | — | 2 | 2 | no | — |
| 68 | C32×C42 | — | 2 | 2 | no | — |
| 69 | C32×C42 | C23 | 1 | 1 | yes | characteristic |
| 70 | C32×C42 | C23 | 1 | 2 | yes | — |
| 71 | #3756 | — | 2 | 4 | no | — |
| 72 | #3754 | — | 2 | 2 | no | — |
| 73 | C4⋊(C3⋊Dic3) | — | 2 | 1 | no | — |
| 74 | C4⋊(C3⋊Dic3) | C23 | 1 | 2 | yes | — |
| 75 | C4⋊(C3⋊Dic3) | C23 | 1 | 1 | yes | characteristic |
| 76 | #3750 | — | 2 | 1 | no | — |
| 77 | #3750 | — | 2 | 2 | no | — |
| 78 | #3750 | — | 2 | 2 | no | — |
| 79 | #3750 | — | 2 | 2 | no | — |
| 80 | C4×C3⋊Dic3 | — | 2 | 2 | no | — |
| 81 | C4×C3⋊Dic3 | — | 2 | 1 | no | — |
| 82 | C2×C3⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 83 | C2×C3⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 84 | C2×C3⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 85 | #3364 | — | 9 | 1 | no | Sylow |
| 86 | C3×C4⋊Q8 | C2×D3 | 1 | 4 | yes | — |
| 87 | C3×#126 | — | 2 | 8 | no | — |
| 88 | C3×#124 | C2×D3 | 1 | 8 | yes | — |
| 89 | C3×C22⋊Q8 | — | 2 | 4 | no | — |
| 90 | C3×C4×Q8 | C2×D3 | 1 | 8 | yes | — |
| 91 | C3×C4×Q8 | C2×D3 | 1 | 4 | yes | — |
| 92 | C3×C4×D4 | C2×D3 | 1 | 4 | yes | — |
| 93 | C3×#117 | — | 2 | 4 | no | — |
| 94 | #944 | — | 6 | 4 | no | — |
| 95 | C2×#216 | — | 3 | 8 | no | — |
| 96 | C2×#214 | — | 3 | 4 | no | — |
| 97 | #889 | — | 6 | 8 | no | — |
| 98 | #887 | — | 6 | 4 | no | — |
| 99 | #870 | — | 3 | 8 | no | — |
| 100 | #869 | — | 3 | 4 | no | — |
| 101 | C4×Dic6 | — | 3 | 4 | no | — |
| 102 | C4×Dic6 | — | 3 | 8 | no | — |
| 103 | #835 | — | 3 | 8 | no | — |
| 104 | #835 | — | 3 | 8 | no | — |
| 105 | #835 | — | 3 | 8 | no | — |
| 106 | #832 | — | 3 | 8 | no | — |
| 107 | #832 | — | 3 | 4 | no | — |
| 108 | #810 | — | 3 | 4 | no | — |
| 109 | #808 | — | 3 | 4 | no | — |
| 110 | #807 | — | 3 | 8 | no | — |
| 111 | C4⋊(C3⋊C8) | — | 3 | 4 | no | — |
| 112 | C4⋊(C3⋊C8) | — | 3 | 8 | no | — |
| 113 | C4×C3⋊C8 | — | 3 | 4 | no | — |
| 114 | C4×C3⋊C8 | — | 3 | 8 | no | — |
| 115 | C23×C32 | — | 2 | 1 | no | — |
| 116 | C32×Q8 | — | 2 | 2 | no | — |
| 117 | C32×Q8 | — | 2 | 2 | no | — |
| 118 | C32×Q8 | — | 2 | 2 | no | — |
| 119 | C32×D4 | — | 2 | 1 | no | — |
| 120 | C32×D4 | — | 2 | 1 | no | — |
| 121 | C2×C32×C4 | — | 2 | 1 | no | — |
| 122 | C2×C32×C4 | — | 2 | 2 | no | — |
| 123 | C2×C32×C4 | — | 4 | 2 | no | — |
| 124 | C2×C32×C4 | C2×D4 | 1 | 2 | yes | — |
| 125 | C2×C32×C4 | C2×D4 | 1 | 2 | yes | — |
| 126 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 127 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 128 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 129 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 130 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 131 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 132 | #634 | — | 2 | 1 | no | — |
| 133 | #634 | — | 4 | 2 | no | — |
| 134 | #634 | #41 | 1 | 2 | yes | — |
| 135 | C3⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 136 | C3⋊(C3⋊C8) | — | 2 | 2 | no | — |
| 137 | C3⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 138 | #557 | — | 9 | 1 | no | — |
| 139 | #556 | C3⋊D3 | 1 | 1 | yes | characteristic |
| 140 | #488 | — | 9 | 2 | no | — |
| 141 | #487 | — | 9 | 1 | no | — |
| 142 | #479 | — | 9 | 2 | no | — |
| 143 | #474 | — | 9 | 1 | no | — |
| 144 | #464 | — | 9 | 2 | no | — |
| 145 | #462 | — | 9 | 1 | no | — |
| 146 | C8×Q8 | — | 9 | 1 | no | — |
| 147 | C4×Q16 | — | 9 | 2 | no | — |
| 148 | C4×SD16 | — | 9 | 1 | no | — |
| 149 | C2×C3×Q8 | #67 | 1 | 4 | yes | — |
| 150 | C2×C3×Q8 | C22×D3 | 1 | 8 | yes | — |
| 151 | C2×C3×D4 | C22×D3 | 1 | 4 | yes | — |
| 152 | C22×C3×C4 | — | 2 | 4 | no | — |
| 153 | C2×Dic6 | — | 3 | 4 | no | — |
| 154 | C2×Dic6 | — | 6 | 4 | no | — |
| 155 | C3×C4⋊C4 | — | 2 | 4 | no | — |
| 156 | C3×C4⋊C4 | — | 2 | 8 | no | — |
| 157 | C3×C4⋊C4 | — | 2 | 4 | no | — |
| 158 | C3×C4⋊C4 | #67 | 1 | 4 | yes | — |
| 159 | C3×C4⋊C4 | #67 | 1 | 8 | yes | — |
| 160 | C3×C4⋊C4 | C22×D3 | 1 | 4 | yes | — |
| 161 | C3×C22⋊C4 | — | 2 | 8 | no | — |
| 162 | C3×C22⋊C4 | — | 2 | 4 | no | — |
| 163 | C3×C22⋊C4 | — | 2 | 8 | no | — |
| 164 | C3×C42 | — | 2 | 8 | no | — |
| 165 | C3×C42 | C22×D3 | 1 | 4 | yes | — |
| 166 | C3×C42 | C22×D3 | 1 | 8 | yes | — |
| 167 | #216 | — | 6 | 16 | no | — |
| 168 | #214 | — | 6 | 8 | no | — |
| 169 | C4⋊Dic3 | — | 3 | 8 | no | — |
| 170 | C4⋊Dic3 | — | 3 | 4 | no | — |
| 171 | C4⋊Dic3 | — | 6 | 4 | no | — |
| 172 | Dic3⋊C4 | — | 6 | 4 | no | — |
| 173 | Dic3⋊C4 | — | 6 | 8 | no | — |
| 174 | Dic3⋊C4 | — | 6 | 8 | no | — |
| 175 | Dic3⋊C4 | — | 6 | 8 | no | — |
| 176 | C4×Dic3 | — | 6 | 8 | no | — |
| 177 | C4×Dic3 | — | 6 | 4 | no | — |
| 178 | C2×C3⋊C8 | — | 3 | 4 | no | — |
| 179 | C2×C3⋊C8 | — | 3 | 8 | no | — |
| 180 | C2×C3⋊C8 | — | 3 | 4 | no | — |
| 181 | C22×C32 | — | 4 | 1 | no | — |
| 182 | C22×C32 | — | 4 | 1 | no | — |
| 183 | C22×C32 | — | 4 | 1 | no | — |
| 184 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 185 | C32×C4 | — | 2 | 2 | no | — |
| 186 | C32×C4 | — | 2 | 2 | no | — |
| 187 | C32×C4 | — | 2 | 1 | no | — |
| 188 | C32×C4 | — | 4 | 2 | no | — |
| 189 | C32×C4 | — | 4 | 1 | no | — |
| 190 | C32×C4 | #135 | 1 | 2 | yes | — |
| 191 | C32×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 192 | C32×C4 | 2−1+4 | 1 | 1 | yes | characteristic |
| 193 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 194 | C3⋊Dic3 | — | 4 | 2 | no | — |
| 195 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 196 | C2×Q16 | — | 9 | 2 | no | — |
| 197 | C2×SD16 | — | 9 | 1 | no | — |
| 198 | C4⋊Q8 | — | 9 | 1 | no | — |
| 199 | C4⋊Q8 | — | 18 | 1 | no | — |
| 200 | C4⋊Q8 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 201 | #126 | — | 2 | 2 | no | — |
| 202 | #125 | — | 9 | 2 | no | — |
| 203 | #125 | — | 18 | 2 | no | — |
| 204 | #124 | C2×C3⋊D3 | 1 | 2 | yes | — |
| 205 | C22⋊Q8 | — | 2 | 1 | no | — |
| 206 | C4×Q8 | — | 9 | 1 | no | — |
| 207 | C4×Q8 | — | 9 | 2 | no | — |
| 208 | C4×Q8 | — | 18 | 1 | no | — |
| 209 | C4×Q8 | C2×C3⋊D3 | 1 | 2 | yes | — |
| 210 | C4×Q8 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 211 | C4×D4 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 212 | #117 | — | 2 | 1 | no | — |
| 213 | #107 | — | 9 | 2 | no | — |
| 214 | #106 | — | 9 | 1 | no | — |
| 215 | C4⋊C8 | — | 9 | 1 | no | — |
| 216 | C4⋊C8 | — | 9 | 2 | no | — |
| 217 | #103 | — | 9 | 2 | no | — |
| 218 | #103 | — | 9 | 2 | no | — |
| 219 | #103 | — | 9 | 2 | no | — |
| 220 | #103 | — | 9 | 1 | no | — |
| 221 | #102 | — | 9 | 1 | no | — |
| 222 | #102 | — | 9 | 2 | no | — |
| 223 | C4×C8 | — | 9 | 1 | no | — |
| 224 | C4×C8 | — | 9 | 2 | no | — |
| 225 | C23×C3 | — | 2 | 4 | no | — |
| 226 | C3×Q8 | — | 2 | 8 | no | — |
| 227 | C3×Q8 | — | 2 | 8 | no | — |
| 228 | C3×Q8 | — | 2 | 8 | no | — |
| 229 | C3×D4 | — | 2 | 4 | no | — |
| 230 | C3×D4 | — | 2 | 4 | no | — |
| 231 | C2×C3×C4 | — | 2 | 4 | no | — |
| 232 | C2×C3×C4 | — | 2 | 8 | no | — |
| 233 | C2×C3×C4 | — | 4 | 8 | no | — |
| 234 | C2×C3×C4 | C2×#67 | 1 | 8 | yes | — |
| 235 | C2×C3×C4 | C2×#67 | 1 | 8 | yes | — |
| 236 | C2×C3×C4 | C2×#67 | 1 | 4 | yes | — |
| 237 | C2×C3×C4 | C2×#67 | 1 | 4 | yes | — |
| 238 | C2×C3×C4 | C23×D3 | 1 | 4 | yes | — |
| 239 | C2×Dic3 | — | 6 | 4 | no | — |
| 240 | C2×Dic3 | — | 6 | 4 | no | — |
| 241 | C2×Dic3 | — | 6 | 8 | no | — |
| 242 | Dic6 | — | 3 | 8 | no | — |
| 243 | Dic6 | — | 6 | 4 | no | — |
| 244 | Dic6 | — | 12 | 8 | no | — |
| 245 | C3⋊C8 | — | 6 | 4 | no | — |
| 246 | C3⋊C8 | — | 6 | 8 | no | — |
| 247 | C3⋊C8 | — | 6 | 4 | no | — |
| 248 | C2×C32 | — | 8 | 1 | no | — |
| 249 | C2×C32 | #548 | 1 | 1 | yes | characteristic |
| 250 | C2×C32 | C2×#135 | 1 | 1 | yes | characteristic |
| 251 | C2×C32 | #578 | 1 | 1 | yes | characteristic |
| 252 | C2×Q8 | — | 9 | 1 | no | — |
| 253 | C2×Q8 | — | 18 | 1 | no | — |
| 254 | C2×Q8 | #638 | 1 | 1 | yes | characteristic |
| 255 | C2×Q8 | C22×C3⋊D3 | 1 | 2 | yes | — |
| 256 | C2×D4 | C22×C3⋊D3 | 1 | 1 | yes | characteristic |
| 257 | C22×C4 | — | 2 | 1 | no | — |
| 258 | Q16 | — | 18 | 4 | no | — |
| 259 | SD16 | — | 18 | 2 | no | — |
| 260 | C2×C8 | — | 9 | 1 | no | — |
| 261 | C2×C8 | — | 9 | 2 | no | — |
| 262 | C2×C8 | — | 9 | 1 | no | — |
| 263 | C4⋊C4 | — | 2 | 1 | no | — |
| 264 | C4⋊C4 | — | 2 | 2 | no | — |
| 265 | C4⋊C4 | — | 2 | 1 | no | — |
| 266 | C4⋊C4 | — | 9 | 1 | no | — |
| 267 | C4⋊C4 | — | 9 | 2 | no | — |
| 268 | C4⋊C4 | — | 18 | 1 | no | — |
| 269 | C4⋊C4 | — | 18 | 2 | no | — |
| 270 | C4⋊C4 | — | 18 | 2 | no | — |
| 271 | C4⋊C4 | — | 18 | 2 | no | — |
| 272 | C4⋊C4 | — | 18 | 1 | no | — |
| 273 | C4⋊C4 | #638 | 1 | 1 | yes | characteristic |
| 274 | C4⋊C4 | #638 | 1 | 2 | yes | — |
| 275 | C4⋊C4 | C22×C3⋊D3 | 1 | 1 | yes | characteristic |
| 276 | C22⋊C4 | — | 2 | 2 | no | — |
| 277 | C22⋊C4 | — | 2 | 1 | no | — |
| 278 | C22⋊C4 | — | 2 | 2 | no | — |
| 279 | C42 | — | 2 | 2 | no | — |
| 280 | C42 | — | 18 | 2 | no | — |
| 281 | C42 | — | 18 | 1 | no | — |
| 282 | C42 | C22×C3⋊D3 | 1 | 1 | yes | characteristic |
| 283 | C42 | C22×C3⋊D3 | 1 | 2 | yes | — |
| 284 | C22×C3 | — | 4 | 4 | no | — |
| 285 | C22×C3 | — | 4 | 4 | no | — |
| 286 | C22×C3 | — | 4 | 4 | no | — |
| 287 | C22×C3 | C22×#67 | 1 | 4 | yes | — |
| 288 | C3×C4 | — | 2 | 8 | no | — |
| 289 | C3×C4 | — | 2 | 8 | no | — |
| 290 | C3×C4 | — | 2 | 4 | no | — |
| 291 | C3×C4 | — | 4 | 4 | no | — |
| 292 | C3×C4 | — | 4 | 8 | no | — |
| 293 | C3×C4 | #950 | 1 | 8 | yes | — |
| 294 | C3×C4 | D3×#41 | 1 | 4 | yes | — |
| 295 | C3×C4 | #1010 | 1 | 4 | yes | — |
| 296 | Dic3 | — | 6 | 8 | no | — |
| 297 | Dic3 | — | 12 | 8 | no | — |
| 298 | Dic3 | — | 12 | 4 | no | — |
| 299 | C32 | #3364 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 300 | C23 | — | 2 | 1 | no | — |
| 301 | Q8 | — | 2 | 2 | no | — |
| 302 | Q8 | — | 2 | 2 | no | — |
| 303 | Q8 | — | 2 | 2 | no | — |
| 304 | Q8 | — | 9 | 2 | no | — |
| 305 | Q8 | — | 18 | 1 | no | — |
| 306 | Q8 | — | 36 | 2 | no | — |
| 307 | D4 | — | 2 | 1 | no | — |
| 308 | D4 | — | 2 | 1 | no | — |
| 309 | C2×C4 | — | 2 | 1 | no | — |
| 310 | C2×C4 | — | 2 | 2 | no | — |
| 311 | C2×C4 | — | 4 | 2 | no | — |
| 312 | C2×C4 | — | 18 | 1 | no | — |
| 313 | C2×C4 | — | 18 | 1 | no | — |
| 314 | C2×C4 | — | 18 | 2 | no | — |
| 315 | C2×C4 | C2×#638 | 1 | 2 | yes | — |
| 316 | C2×C4 | C2×#638 | 1 | 1 | yes | characteristic |
| 317 | C2×C4 | C2×#638 | 1 | 2 | yes | — |
| 318 | C2×C4 | C2×#638 | 1 | 1 | yes | characteristic |
| 319 | C2×C4 | C23×C3⋊D3 | 1 | 1 | yes | characteristic |
| 320 | C8 | — | 18 | 1 | no | — |
| 321 | C8 | — | 18 | 2 | no | — |
| 322 | C8 | — | 18 | 1 | no | — |
| 323 | C2×C3 | — | 8 | 4 | no | — |
| 324 | C2×C3 | C2×#950 | 1 | 4 | yes | — |
| 325 | C2×C3 | #5831 | 1 | 4 | yes | — |
| 326 | C2×C3 | #5838 | 1 | 4 | yes | — |
| 327 | C22 | — | 4 | 1 | no | — |
| 328 | C22 | — | 4 | 1 | no | — |
| 329 | C22 | — | 4 | 1 | no | — |
| 330 | C22 | C22×#638 | 1 | 1 | yes | characteristic |
| 331 | C4 | — | 2 | 2 | no | — |
| 332 | C4 | — | 2 | 2 | no | — |
| 333 | C4 | — | 2 | 1 | no | — |
| 334 | C4 | — | 4 | 1 | no | — |
| 335 | C4 | — | 4 | 2 | no | — |
| 336 | C4 | — | 18 | 2 | no | — |
| 337 | C4 | — | 36 | 2 | no | — |
| 338 | C4 | — | 36 | 1 | no | — |
| 339 | C4 | #64159 | 1 | 2 | yes | — |
| 340 | C4 | #41×C3⋊D3 | 1 | 1 | yes | characteristic |
| 341 | C4 | #64367 | 1 | 1 | yes | characteristic |
| 342 | C3 | #83676 | 1 | 4 | yes | complemented |
| 343 | C2 | — | 8 | 1 | no | — |
| 344 | C2 | C2×#64159 | 1 | 1 | yes | characteristic |
| 345 | C2 | #10596302 | 1 | 1 | yes | characteristic |
| 346 | C2 | #10596309 | 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