← #11898383
Subgroups — #11898383
Order 1152.
771 conjugacy classes of subgroups.
The subgroup lattice has 374 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #10593863 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C8×#634 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#4699 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×C4×D24 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #10590869 | C2 | 1 | 2 | yes | maximal |
| 6 | #10590818 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10590797 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #10590363 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #81795 | — | 3 | 1 | no | maximal |
| 10 | #79579 | — | 3 | 1 | no | maximal |
| 11 | C4×#634 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×C3×Dic12 | C22 | 1 | 2 | yes | — |
| 13 | C2×C3×Dic12 | C22 | 1 | 2 | yes | — |
| 14 | C2×C3×D24 | C22 | 1 | 1 | yes | characteristic |
| 15 | C3×C4×D12 | C22 | 1 | 2 | yes | — |
| 16 | C3×#869 | C22 | 1 | 2 | yes | — |
| 17 | #63863 | C22 | 1 | 4 | yes | — |
| 18 | #63858 | — | 2 | 4 | no | — |
| 19 | #63857 | — | 2 | 2 | no | — |
| 20 | #63843 | C22 | 1 | 4 | yes | — |
| 21 | #63841 | — | 2 | 2 | no | — |
| 22 | C2×#3715 | C22 | 1 | 4 | yes | — |
| 23 | C32×C4×C8 | C22 | 1 | 1 | yes | characteristic |
| 24 | #63641 | C22 | 1 | 2 | yes | — |
| 25 | C8×C3⋊Dic3 | C22 | 1 | 2 | yes | — |
| 26 | C4⋊(C3⋊(C3⋊C8)) | C22 | 1 | 1 | yes | characteristic |
| 27 | C3×#821 | C22 | 1 | 2 | yes | — |
| 28 | C3×#818 | C22 | 1 | 1 | yes | characteristic |
| 29 | #63565 | C22 | 1 | 4 | yes | — |
| 30 | #5732 | — | 3 | 2 | no | — |
| 31 | #5542 | — | 3 | 2 | no | — |
| 32 | C3×#494 | — | 3 | 1 | no | — |
| 33 | C3×C4×D8 | — | 3 | 1 | no | — |
| 34 | #5191 | — | 3 | 2 | no | — |
| 35 | #5185 | — | 3 | 4 | no | — |
| 36 | Dic3×Q16 | — | 3 | 2 | no | — |
| 37 | #5155 | — | 3 | 2 | no | — |
| 38 | #5083 | — | 3 | 2 | no | — |
| 39 | #5019 | — | 3 | 2 | no | — |
| 40 | #4873 | — | 3 | 2 | no | — |
| 41 | #4767 | — | 3 | 4 | no | — |
| 42 | #4699 | D3 | 1 | 1 | yes | characteristic, complemented |
| 43 | C4×D24 | D3 | 1 | 1 | yes | characteristic |
| 44 | C8×Dic6 | — | 3 | 1 | no | — |
| 45 | C8×Dic6 | — | 3 | 1 | no | — |
| 46 | C8×Dic6 | — | 6 | 1 | no | — |
| 47 | C2×#634 | D4 | 1 | 1 | yes | characteristic |
| 48 | C2×C3×D12 | C23 | 1 | 2 | yes | — |
| 49 | C2×C3×C4×D3 | — | 2 | 2 | no | — |
| 50 | C2×C3×Dic6 | C23 | 1 | 4 | yes | — |
| 51 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 52 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 53 | C32×C42 | C23 | 1 | 1 | yes | characteristic |
| 54 | C4⋊(C3⋊Dic3) | D4 | 1 | 1 | yes | characteristic |
| 55 | #3750 | D4 | 1 | 2 | yes | — |
| 56 | C4×C3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 57 | C2×C3⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 58 | C3×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 59 | C3×C4⋊Dic3 | — | 2 | 2 | no | — |
| 60 | C3×C4⋊Dic3 | — | 2 | 2 | no | — |
| 61 | C3×C4⋊Dic3 | C23 | 1 | 2 | yes | — |
| 62 | C3×Dic12 | — | 2 | 4 | no | — |
| 63 | C3×Dic12 | — | 4 | 2 | no | — |
| 64 | C3×D24 | — | 2 | 2 | no | — |
| 65 | Dic3⋊Dic3 | — | 2 | 4 | no | — |
| 66 | (C2×D3)⋊Dic3 | — | 2 | 4 | no | — |
| 67 | (C2×D3)⋊Dic3 | — | 2 | 4 | no | — |
| 68 | Dic32 | — | 2 | 4 | no | — |
| 69 | #3715 | — | 4 | 4 | no | — |
| 70 | #3393 | — | 9 | 1 | no | Sylow |
| 71 | C2×C3×Q16 | — | 3 | 2 | no | — |
| 72 | C2×C3×Q16 | — | 3 | 2 | no | — |
| 73 | C2×C3×D8 | — | 3 | 1 | no | — |
| 74 | C3×C4⋊Q8 | — | 3 | 2 | no | — |
| 75 | C3×C4×D4 | — | 3 | 2 | no | — |
| 76 | #947 | — | 3 | 4 | no | — |
| 77 | Q8×Dic3 | — | 3 | 4 | no | — |
| 78 | C2×#215 | — | 3 | 4 | no | — |
| 79 | #936 | — | 3 | 4 | no | — |
| 80 | C2×#214 | — | 3 | 4 | no | — |
| 81 | #926 | — | 6 | 2 | no | — |
| 82 | #924 | — | 6 | 2 | no | — |
| 83 | C2×Dic12 | C2×D3 | 1 | 2 | yes | — |
| 84 | C2×Dic12 | C2×D3 | 1 | 2 | yes | — |
| 85 | C2×D24 | C2×D3 | 1 | 1 | yes | characteristic |
| 86 | #898 | — | 6 | 4 | no | — |
| 87 | #897 | — | 6 | 2 | no | — |
| 88 | #892 | — | 6 | 2 | no | — |
| 89 | #887 | — | 3 | 4 | no | — |
| 90 | #879 | — | 6 | 4 | no | — |
| 91 | C4×D12 | C2×D3 | 1 | 2 | yes | — |
| 92 | #869 | C2×D3 | 1 | 2 | yes | — |
| 93 | C4×Dic6 | — | 3 | 1 | no | — |
| 94 | C4×Dic6 | — | 3 | 1 | no | — |
| 95 | C4×Dic6 | — | 6 | 1 | no | — |
| 96 | C3×#107 | — | 3 | 1 | no | — |
| 97 | C3×#102 | — | 3 | 2 | no | — |
| 98 | C3×C4×C8 | — | 2 | 1 | no | — |
| 99 | C3×C4×C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 100 | C3×C4×C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 101 | #835 | — | 3 | 4 | no | — |
| 102 | #821 | C2×D3 | 1 | 2 | yes | — |
| 103 | #818 | C2×D3 | 1 | 1 | yes | characteristic |
| 104 | Dic3⋊C8 | — | 3 | 2 | no | — |
| 105 | Dic3⋊C8 | — | 3 | 2 | no | — |
| 106 | Dic3⋊C8 | — | 6 | 2 | no | — |
| 107 | C8×Dic3 | — | 3 | 2 | no | — |
| 108 | C8×Dic3 | — | 3 | 2 | no | — |
| 109 | C8×Dic3 | — | 6 | 2 | no | — |
| 110 | #810 | — | 3 | 4 | no | — |
| 111 | C4⋊(C3⋊C8) | — | 3 | 1 | no | — |
| 112 | C4⋊(C3⋊C8) | — | 3 | 1 | no | — |
| 113 | C4⋊(C3⋊C8) | — | 6 | 1 | no | — |
| 114 | C22×C3×D3 | — | 2 | 2 | no | — |
| 115 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 116 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 117 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 118 | C2×C3⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 119 | C2×C3⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 120 | #634 | — | 2 | 2 | no | — |
| 121 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 122 | C2×C3×Dic3 | — | 2 | 4 | no | — |
| 123 | C3×D12 | — | 2 | 2 | no | — |
| 124 | C3×D12 | — | 2 | 2 | no | — |
| 125 | C3×C4×D3 | — | 4 | 4 | no | — |
| 126 | C3×Dic6 | — | 2 | 4 | no | — |
| 127 | C3×Dic6 | — | 2 | 4 | no | — |
| 128 | C32×C8 | — | 2 | 1 | no | — |
| 129 | C32×C8 | #41 | 1 | 2 | yes | — |
| 130 | C3⋊(C3⋊C8) | — | 2 | 2 | no | — |
| 131 | #556 | — | 9 | 2 | no | — |
| 132 | #495 | — | 9 | 2 | no | — |
| 133 | #494 | — | 3 | 1 | no | — |
| 134 | #464 | — | 9 | 4 | no | — |
| 135 | #461 | — | 9 | 2 | no | — |
| 136 | C8×Q8 | — | 9 | 1 | no | — |
| 137 | C4×Q16 | — | 9 | 2 | no | — |
| 138 | C4×D8 | — | 3 | 1 | no | — |
| 139 | C2×C3×Q8 | — | 3 | 4 | no | — |
| 140 | C2×C3×D4 | — | 3 | 2 | no | — |
| 141 | C22×C3×C4 | — | 6 | 2 | no | — |
| 142 | C2×D12 | C22×D3 | 1 | 2 | yes | — |
| 143 | C2×C4×D3 | — | 2 | 2 | no | — |
| 144 | C2×Dic6 | — | 3 | 1 | no | — |
| 145 | C2×Dic6 | — | 3 | 1 | no | — |
| 146 | C2×Dic6 | — | 6 | 1 | no | — |
| 147 | C2×Dic6 | C22×D3 | 1 | 4 | yes | — |
| 148 | C3×Q16 | — | 6 | 4 | no | — |
| 149 | C3×Q16 | — | 12 | 2 | no | — |
| 150 | C3×D8 | — | 6 | 2 | no | — |
| 151 | C2×C3×C8 | — | 2 | 1 | no | — |
| 152 | C2×C3×C8 | — | 2 | 1 | no | — |
| 153 | C2×C3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 154 | C2×C3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 155 | C2×C3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 156 | C2×C3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 157 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 158 | C3×C4⋊C4 | — | 6 | 2 | no | — |
| 159 | C3×C4⋊C4 | — | 6 | 2 | no | — |
| 160 | C3×C22⋊C4 | — | 6 | 2 | no | — |
| 161 | C3×C42 | — | 2 | 1 | no | — |
| 162 | C3×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 163 | C3×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 164 | #217 | — | 6 | 4 | no | — |
| 165 | #217 | — | 6 | 4 | no | — |
| 166 | #215 | — | 12 | 4 | no | — |
| 167 | #214 | — | 12 | 4 | no | — |
| 168 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 169 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 170 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 171 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 172 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 173 | C4⋊Dic3 | — | 3 | 1 | no | — |
| 174 | C4⋊Dic3 | — | 3 | 1 | no | — |
| 175 | C4⋊Dic3 | — | 6 | 1 | no | — |
| 176 | C4⋊Dic3 | — | 6 | 4 | no | — |
| 177 | C4⋊Dic3 | C22×D3 | 1 | 2 | yes | — |
| 178 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 179 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 180 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 181 | Dic3⋊C4 | — | 6 | 4 | no | — |
| 182 | C4×Dic3 | — | 3 | 2 | no | — |
| 183 | C4×Dic3 | — | 3 | 2 | no | — |
| 184 | C4×Dic3 | — | 6 | 2 | no | — |
| 185 | C4×Dic3 | — | 6 | 4 | no | — |
| 186 | C4×Dic3 | — | 6 | 4 | no | — |
| 187 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 188 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 189 | C2×C3⋊C8 | — | 6 | 2 | no | — |
| 190 | Dic12 | — | 2 | 4 | no | — |
| 191 | Dic12 | — | 4 | 2 | no | — |
| 192 | D24 | — | 2 | 2 | no | — |
| 193 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 194 | C2×C3×D3 | — | 4 | 2 | no | — |
| 195 | C2×C3×D3 | — | 4 | 2 | no | — |
| 196 | C2×C3×D3 | — | 4 | 2 | no | — |
| 197 | C32×C4 | — | 2 | 1 | no | — |
| 198 | C32×C4 | #135 | 1 | 2 | yes | — |
| 199 | C32×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 200 | C32×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 201 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 202 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 203 | C3×Dic3 | — | 4 | 4 | no | — |
| 204 | C3×Dic3 | — | 4 | 2 | no | — |
| 205 | C2×Q16 | — | 3 | 2 | no | — |
| 206 | C2×Q16 | — | 3 | 2 | no | — |
| 207 | C2×SD16 | — | 9 | 4 | no | — |
| 208 | C2×D8 | — | 3 | 1 | no | — |
| 209 | C4⋊Q8 | — | 3 | 2 | no | — |
| 210 | #126 | — | 18 | 4 | no | — |
| 211 | #124 | — | 9 | 4 | no | — |
| 212 | C22⋊Q8 | — | 18 | 2 | no | — |
| 213 | C4×Q8 | — | 9 | 1 | no | — |
| 214 | C4×Q8 | — | 9 | 4 | no | — |
| 215 | C4×D4 | — | 3 | 2 | no | — |
| 216 | #117 | — | 18 | 2 | no | — |
| 217 | #107 | — | 3 | 1 | no | — |
| 218 | C4⋊C8 | — | 9 | 2 | no | — |
| 219 | C4⋊C8 | — | 9 | 1 | no | — |
| 220 | #103 | — | 9 | 4 | no | — |
| 221 | #102 | — | 3 | 2 | no | — |
| 222 | C4×C8 | — | 9 | 2 | no | — |
| 223 | C4×C8 | D32 | 1 | 1 | yes | characteristic |
| 224 | C23×C3 | — | 6 | 2 | no | — |
| 225 | C22×D3 | — | 2 | 2 | no | — |
| 226 | C3×Q8 | — | 6 | 4 | no | — |
| 227 | C3×Q8 | — | 6 | 4 | no | — |
| 228 | C3×D4 | — | 6 | 2 | no | — |
| 229 | C3×D4 | — | 6 | 2 | no | — |
| 230 | C2×C3×C4 | — | 2 | 1 | no | — |
| 231 | C2×C3×C4 | — | 2 | 1 | no | — |
| 232 | C2×C3×C4 | — | 2 | 1 | no | — |
| 233 | C2×C3×C4 | — | 6 | 2 | no | — |
| 234 | C2×C3×C4 | — | 6 | 4 | no | — |
| 235 | C2×C3×C4 | — | 12 | 4 | no | — |
| 236 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 237 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 238 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 239 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 240 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 241 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 242 | C2×Dic3 | — | 2 | 2 | no | — |
| 243 | C2×Dic3 | — | 2 | 4 | no | — |
| 244 | C2×Dic3 | — | 3 | 2 | no | — |
| 245 | C2×Dic3 | — | 3 | 2 | no | — |
| 246 | C2×Dic3 | — | 3 | 2 | no | — |
| 247 | C2×Dic3 | — | 3 | 2 | no | — |
| 248 | C2×Dic3 | — | 6 | 2 | no | — |
| 249 | C2×Dic3 | — | 6 | 2 | no | — |
| 250 | D12 | — | 2 | 2 | no | — |
| 251 | D12 | — | 2 | 2 | no | — |
| 252 | C4×D3 | — | 4 | 4 | no | — |
| 253 | Dic6 | — | 2 | 4 | no | — |
| 254 | Dic6 | — | 2 | 4 | no | — |
| 255 | Dic6 | — | 6 | 4 | no | — |
| 256 | Dic6 | — | 6 | 2 | no | — |
| 257 | Dic6 | — | 6 | 2 | no | — |
| 258 | C3×C8 | — | 2 | 1 | no | — |
| 259 | C3×C8 | — | 2 | 1 | no | — |
| 260 | C3×C8 | — | 2 | 2 | no | — |
| 261 | C3×C8 | — | 4 | 1 | no | — |
| 262 | C3×C8 | #235 | 1 | 2 | yes | — |
| 263 | C3×C8 | #237 | 1 | 2 | yes | — |
| 264 | C3⋊C8 | — | 6 | 2 | no | — |
| 265 | C3⋊C8 | — | 6 | 2 | no | — |
| 266 | C3⋊C8 | — | 12 | 2 | no | — |
| 267 | C2×C32 | #550 | 1 | 1 | yes | characteristic |
| 268 | C2×C32 | C2×#135 | 1 | 1 | yes | characteristic |
| 269 | C2×C32 | #578 | 1 | 1 | yes | characteristic |
| 270 | C3×D3 | — | 8 | 2 | no | — |
| 271 | C2×Q8 | — | 3 | 4 | no | — |
| 272 | C2×Q8 | — | 9 | 1 | no | — |
| 273 | C2×D4 | — | 3 | 2 | no | — |
| 274 | C22×C4 | — | 6 | 2 | no | — |
| 275 | Q16 | — | 6 | 4 | no | — |
| 276 | Q16 | — | 12 | 2 | no | — |
| 277 | SD16 | — | 36 | 4 | no | — |
| 278 | D8 | — | 6 | 2 | no | — |
| 279 | C2×C8 | — | 9 | 2 | no | — |
| 280 | C2×C8 | C2×D32 | 1 | 1 | yes | characteristic |
| 281 | C2×C8 | C2×D32 | 1 | 1 | yes | characteristic |
| 282 | C4⋊C4 | — | 3 | 2 | no | — |
| 283 | C4⋊C4 | — | 6 | 2 | no | — |
| 284 | C4⋊C4 | — | 6 | 2 | no | — |
| 285 | C4⋊C4 | — | 9 | 1 | no | — |
| 286 | C4⋊C4 | — | 9 | 2 | no | — |
| 287 | C4⋊C4 | — | 18 | 4 | no | — |
| 288 | C22⋊C4 | — | 6 | 2 | no | — |
| 289 | C22⋊C4 | — | 18 | 4 | no | — |
| 290 | C22⋊C4 | — | 18 | 4 | no | — |
| 291 | C42 | — | 9 | 2 | no | — |
| 292 | C42 | — | 18 | 4 | no | — |
| 293 | C42 | C2×D32 | 1 | 1 | yes | characteristic |
| 294 | C22×C3 | — | 2 | 1 | no | — |
| 295 | C22×C3 | — | 12 | 2 | no | — |
| 296 | C22×C3 | — | 12 | 2 | no | — |
| 297 | C22×C3 | — | 12 | 2 | no | — |
| 298 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 299 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 300 | C2×D3 | — | 4 | 2 | no | — |
| 301 | C2×D3 | — | 4 | 2 | no | — |
| 302 | C2×D3 | — | 4 | 2 | no | — |
| 303 | C3×C4 | — | 2 | 1 | no | — |
| 304 | C3×C4 | — | 2 | 1 | no | — |
| 305 | C3×C4 | — | 2 | 1 | no | — |
| 306 | C3×C4 | — | 2 | 1 | no | — |
| 307 | C3×C4 | — | 2 | 2 | no | — |
| 308 | C3×C4 | — | 4 | 1 | no | — |
| 309 | C3×C4 | — | 12 | 2 | no | — |
| 310 | C3×C4 | — | 12 | 4 | no | — |
| 311 | C3×C4 | #912 | 1 | 2 | yes | — |
| 312 | C3×C4 | #919 | 1 | 2 | yes | — |
| 313 | C3×C4 | C2×#235 | 1 | 1 | yes | characteristic |
| 314 | C3×C4 | C2×#237 | 1 | 1 | yes | characteristic |
| 315 | C3×C4 | #1004 | 1 | 1 | yes | characteristic |
| 316 | C3×C4 | #1009 | 1 | 1 | yes | characteristic |
| 317 | Dic3 | — | 4 | 4 | no | — |
| 318 | Dic3 | — | 4 | 2 | no | — |
| 319 | Dic3 | — | 6 | 4 | no | — |
| 320 | Dic3 | — | 6 | 2 | no | — |
| 321 | Dic3 | — | 6 | 2 | no | — |
| 322 | Dic3 | — | 6 | 2 | no | — |
| 323 | Dic3 | — | 6 | 2 | no | — |
| 324 | Dic3 | — | 12 | 2 | no | — |
| 325 | C32 | #3393 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 326 | C23 | — | 6 | 2 | no | — |
| 327 | Q8 | — | 6 | 4 | no | — |
| 328 | Q8 | — | 6 | 4 | no | — |
| 329 | Q8 | — | 18 | 2 | no | — |
| 330 | D4 | — | 6 | 2 | no | — |
| 331 | D4 | — | 6 | 2 | no | — |
| 332 | C2×C4 | — | 6 | 2 | no | — |
| 333 | C2×C4 | — | 6 | 4 | no | — |
| 334 | C2×C4 | — | 9 | 2 | no | — |
| 335 | C2×C4 | — | 9 | 2 | no | — |
| 336 | C2×C4 | — | 12 | 4 | no | — |
| 337 | C2×C4 | #3802 | 1 | 1 | yes | characteristic |
| 338 | C2×C4 | #3802 | 1 | 1 | yes | characteristic |
| 339 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 340 | C8 | — | 2 | 1 | no | — |
| 341 | C8 | — | 18 | 2 | no | — |
| 342 | C8 | #3795 | 1 | 2 | yes | — |
| 343 | C2×C3 | — | 2 | 1 | no | — |
| 344 | C2×C3 | — | 2 | 1 | no | — |
| 345 | C2×C3 | — | 2 | 1 | no | — |
| 346 | C2×C3 | — | 24 | 2 | no | — |
| 347 | C2×C3 | #5553 | 1 | 1 | yes | characteristic |
| 348 | C2×C3 | #5718 | 1 | 1 | yes | characteristic |
| 349 | C2×C3 | C2×#912 | 1 | 1 | yes | characteristic |
| 350 | C2×C3 | C2×#919 | 1 | 1 | yes | characteristic |
| 351 | C2×C3 | #5766 | 1 | 1 | yes | characteristic |
| 352 | C2×C3 | #5771 | 1 | 1 | yes | characteristic |
| 353 | D3 | — | 8 | 2 | no | — |
| 354 | C22 | — | 12 | 2 | no | — |
| 355 | C22 | — | 12 | 2 | no | — |
| 356 | C22 | — | 12 | 2 | no | — |
| 357 | C22 | C2×#3802 | 1 | 1 | yes | characteristic |
| 358 | C4 | — | 2 | 1 | no | — |
| 359 | C4 | — | 12 | 4 | no | — |
| 360 | C4 | — | 12 | 2 | no | — |
| 361 | C4 | — | 18 | 2 | no | — |
| 362 | C4 | — | 18 | 2 | no | — |
| 363 | C4 | #63810 | 1 | 2 | yes | — |
| 364 | C4 | C2×#3795 | 1 | 1 | yes | characteristic |
| 365 | C4 | #64307 | 1 | 1 | yes | characteristic |
| 366 | C3 | — | 2 | 1 | no | — |
| 367 | C3 | #79579 | 1 | 1 | yes | characteristic, complemented |
| 368 | C3 | #81795 | 1 | 1 | yes | characteristic, complemented |
| 369 | C2 | — | 24 | 2 | no | — |
| 370 | C2 | #10593906 | 1 | 1 | yes | characteristic |
| 371 | C2 | C2×#63810 | 1 | 1 | yes | characteristic |
| 372 | C2 | #10594703 | 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