← #72216316
Subgroups — #72216316
Order 2048.
1417 conjugacy classes of subgroups.
The subgroup lattice has 390 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #72216311 | C2 | 1 | 4 | yes | maximal, complemented |
| 2 | #72216305 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #72216296 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #72216283 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #72216261 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #72216241 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | C8×#1398 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #513082 | C22 | 1 | 4 | yes | — |
| 9 | #491485 | C22 | 1 | 2 | yes | — |
| 10 | #483943 | — | 2 | 2 | no | — |
| 11 | #483943 | C22 | 1 | 4 | yes | — |
| 12 | #213237 | — | 2 | 2 | no | — |
| 13 | C4×#1398 | C22 | 1 | 2 | yes | — |
| 14 | #151732 | C4 | 1 | 1 | yes | characteristic, complemented |
| 15 | #151724 | C4 | 1 | 1 | yes | characteristic, complemented |
| 16 | #151718 | C4 | 1 | 2 | yes | complemented |
| 17 | #151715 | C4 | 1 | 4 | yes | complemented |
| 18 | #151129 | — | 2 | 8 | no | — |
| 19 | #151085 | — | 2 | 8 | no | — |
| 20 | #151055 | C22 | 1 | 4 | yes | — |
| 21 | #150160 | C22 | 1 | 8 | yes | — |
| 22 | #149495 | C22 | 1 | 2 | yes | — |
| 23 | C8×M64 | C22 | 1 | 1 | yes | characteristic |
| 24 | C8×M64 | C22 | 1 | 1 | yes | characteristic |
| 25 | #141812 | — | 2 | 2 | no | — |
| 26 | #141786 | — | 2 | 2 | no | — |
| 27 | #141786 | C22 | 1 | 4 | yes | — |
| 28 | #135796 | C22 | 1 | 2 | yes | — |
| 29 | C8×#346 | C22 | 1 | 1 | yes | characteristic |
| 30 | #33733 | — | 2 | 2 | no | — |
| 31 | #33733 | C23 | 1 | 4 | yes | — |
| 32 | #21705 | — | 4 | 2 | no | — |
| 33 | #19603 | — | 2 | 2 | no | — |
| 34 | #17956 | — | 2 | 4 | no | — |
| 35 | #17956 | — | 4 | 2 | no | — |
| 36 | #13733 | C2×C4 | 1 | 4 | yes | — |
| 37 | #13725 | C2×C4 | 1 | 4 | yes | — |
| 38 | #13719 | C2×C4 | 1 | 8 | yes | — |
| 39 | #13697 | — | 2 | 8 | no | — |
| 40 | #13654 | — | 2 | 8 | no | — |
| 41 | C2×#1398 | — | 2 | 4 | no | — |
| 42 | C4×M64 | C23 | 1 | 2 | yes | — |
| 43 | C4×M64 | C23 | 1 | 2 | yes | — |
| 44 | C4×#346 | D4 | 1 | 1 | yes | characteristic |
| 45 | C4×#346 | C23 | 1 | 1 | yes | characteristic |
| 46 | #12521 | C2×C4 | 1 | 2 | yes | — |
| 47 | #12515 | C2×C4 | 1 | 2 | yes | — |
| 48 | #12509 | — | 2 | 2 | no | — |
| 49 | #12503 | — | 2 | 2 | no | — |
| 50 | #12503 | C2×C4 | 1 | 4 | yes | — |
| 51 | #12086 | — | 2 | 8 | no | — |
| 52 | #12086 | — | 4 | 4 | no | — |
| 53 | #12045 | — | 2 | 8 | no | — |
| 54 | #12045 | — | 4 | 4 | no | — |
| 55 | #12023 | — | 2 | 2 | no | — |
| 56 | #12023 | C23 | 1 | 4 | yes | — |
| 57 | #11671 | — | 2 | 4 | no | — |
| 58 | #11671 | — | 2 | 4 | no | — |
| 59 | C2×#1311 | D4 | 1 | 1 | yes | characteristic |
| 60 | C2×#1311 | C23 | 1 | 1 | yes | characteristic |
| 61 | C2×C8×C16 | D4 | 1 | 1 | yes | characteristic |
| 62 | C2×C8×C16 | C23 | 1 | 1 | yes | characteristic |
| 63 | #9856 | — | 4 | 2 | no | — |
| 64 | #9844 | — | 2 | 4 | no | — |
| 65 | #9844 | — | 4 | 2 | no | — |
| 66 | #8823 | — | 2 | 2 | no | — |
| 67 | C4×C82 | D4 | 1 | 1 | yes | characteristic |
| 68 | #7463 | — | 2 | 8 | no | — |
| 69 | #7385 | — | 2 | 16 | no | — |
| 70 | #7330 | D4 | 1 | 4 | yes | — |
| 71 | #7330 | D4 | 1 | 4 | yes | — |
| 72 | #7329 | — | 2 | 1 | no | — |
| 73 | #7329 | C2×C4 | 1 | 2 | yes | — |
| 74 | C8×C32 | — | 2 | 1 | no | — |
| 75 | C8×C32 | C2×C4 | 1 | 1 | yes | characteristic |
| 76 | C8×C32 | C2×C4 | 1 | 1 | yes | characteristic |
| 77 | #3169 | — | 2 | 4 | no | — |
| 78 | #3169 | — | 4 | 2 | no | — |
| 79 | #3147 | — | 4 | 2 | no | — |
| 80 | C2×#443 | — | 8 | 4 | no | — |
| 81 | #2931 | — | 4 | 4 | no | — |
| 82 | C2×D32 | — | 2 | 8 | no | — |
| 83 | C2×M64 | — | 2 | 2 | no | — |
| 84 | C2×M64 | #41 | 1 | 4 | yes | — |
| 85 | #2252 | — | 2 | 2 | no | — |
| 86 | #2252 | C22×C4 | 1 | 4 | yes | — |
| 87 | #2246 | — | 2 | 2 | no | — |
| 88 | #2246 | C22×C4 | 1 | 4 | yes | — |
| 89 | #2240 | — | 2 | 4 | no | — |
| 90 | #2240 | — | 2 | 4 | no | — |
| 91 | #2215 | — | 2 | 8 | no | — |
| 92 | #2215 | — | 4 | 4 | no | — |
| 93 | C4×D16 | — | 2 | 8 | no | — |
| 94 | C4×D16 | — | 4 | 4 | no | — |
| 95 | C2×#346 | — | 2 | 2 | no | — |
| 96 | C2×#346 | — | 2 | 2 | no | — |
| 97 | C2×C4×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 98 | C2×C4×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 99 | C2×C4×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 100 | C2×C4×C16 | C24 | 1 | 1 | yes | characteristic |
| 101 | #1974 | — | 8 | 4 | no | — |
| 102 | #1962 | — | 4 | 4 | no | — |
| 103 | #1848 | — | 4 | 2 | no | — |
| 104 | C42×C8 | D8 | 1 | 2 | yes | — |
| 105 | C42×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 106 | #1713 | — | 2 | 2 | no | — |
| 107 | #1712 | — | 2 | 2 | no | — |
| 108 | #1709 | — | 4 | 2 | no | — |
| 109 | #1706 | — | 2 | 4 | no | — |
| 110 | #1706 | — | 4 | 2 | no | — |
| 111 | #1589 | — | 4 | 4 | no | — |
| 112 | #1589 | — | 4 | 4 | no | — |
| 113 | #1589 | — | 8 | 4 | no | — |
| 114 | C8×D8 | — | 4 | 4 | no | — |
| 115 | C8×D8 | — | 4 | 4 | no | — |
| 116 | C8×D8 | — | 8 | 4 | no | — |
| 117 | #1567 | — | 2 | 4 | no | — |
| 118 | #1567 | — | 4 | 2 | no | — |
| 119 | #1492 | — | 4 | 4 | no | — |
| 120 | #1492 | — | 4 | 4 | no | — |
| 121 | C2×C82 | D8 | 1 | 2 | yes | — |
| 122 | C2×C82 | C2×D4 | 1 | 1 | yes | characteristic |
| 123 | C2×C82 | C2×D4 | 1 | 1 | yes | characteristic |
| 124 | #1424 | — | 2 | 8 | no | — |
| 125 | #1415 | — | 2 | 16 | no | — |
| 126 | #1398 | — | 2 | 16 | no | — |
| 127 | #1397 | C2×D4 | 1 | 4 | yes | — |
| 128 | #1397 | C2×D4 | 1 | 4 | yes | — |
| 129 | C4×C32 | — | 2 | 2 | no | — |
| 130 | C4×C32 | C22×C4 | 1 | 2 | yes | — |
| 131 | C4×C32 | C22×C4 | 1 | 2 | yes | — |
| 132 | #1372 | — | 2 | 8 | no | — |
| 133 | #1372 | — | 4 | 4 | no | — |
| 134 | #1331 | — | 4 | 8 | no | — |
| 135 | #1331 | — | 4 | 8 | no | — |
| 136 | #1311 | D8 | 1 | 4 | yes | — |
| 137 | #1311 | C2×D4 | 1 | 2 | yes | — |
| 138 | #1311 | C2×D4 | 1 | 2 | yes | — |
| 139 | C8×C16 | — | 2 | 2 | no | — |
| 140 | C8×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 141 | C8×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 142 | C8×C16 | #41 | 1 | 1 | yes | characteristic |
| 143 | C8×C16 | #41 | 1 | 1 | yes | characteristic |
| 144 | C2×#135 | — | 8 | 4 | no | — |
| 145 | C2×#131 | — | 8 | 4 | no | — |
| 146 | #532 | — | 4 | 4 | no | — |
| 147 | C2×D16 | — | 2 | 8 | no | — |
| 148 | C2×D16 | — | 4 | 4 | no | — |
| 149 | C22×C16 | — | 2 | 1 | no | — |
| 150 | C22×C16 | — | 2 | 1 | no | — |
| 151 | C22×C16 | #135 | 1 | 2 | yes | — |
| 152 | C22×C16 | C2×#41 | 1 | 2 | yes | — |
| 153 | #500 | — | 2 | 4 | no | — |
| 154 | #500 | — | 4 | 2 | no | — |
| 155 | #495 | — | 8 | 4 | no | — |
| 156 | #494 | — | 4 | 2 | no | — |
| 157 | #493 | — | 2 | 4 | no | — |
| 158 | #493 | — | 4 | 2 | no | — |
| 159 | #493 | — | 4 | 2 | no | — |
| 160 | #492 | — | 4 | 4 | no | — |
| 161 | #486 | — | 4 | 4 | no | — |
| 162 | #486 | — | 4 | 4 | no | — |
| 163 | #466 | — | 4 | 4 | no | — |
| 164 | #466 | — | 4 | 4 | no | — |
| 165 | #466 | — | 8 | 4 | no | — |
| 166 | #443 | — | 16 | 16 | no | — |
| 167 | C4×D8 | — | 4 | 4 | no | — |
| 168 | C4×D8 | — | 4 | 4 | no | — |
| 169 | C4×D8 | — | 8 | 4 | no | — |
| 170 | #436 | — | 8 | 4 | no | — |
| 171 | #436 | — | 8 | 4 | no | — |
| 172 | C8×D4 | — | 8 | 4 | no | — |
| 173 | C8×D4 | — | 8 | 4 | no | — |
| 174 | C2×#108 | — | 8 | 4 | no | — |
| 175 | #423 | — | 4 | 4 | no | — |
| 176 | C2×#104 | — | 8 | 8 | no | — |
| 177 | #408 | — | 8 | 4 | no | — |
| 178 | C2×C4×C8 | — | 2 | 1 | no | — |
| 179 | C2×C4×C8 | — | 2 | 1 | no | — |
| 180 | C2×C4×C8 | — | 2 | 4 | no | — |
| 181 | C2×C4×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 182 | C2×C4×C8 | C2×D8 | 1 | 2 | yes | — |
| 183 | C2×C4×C8 | C2×D8 | 1 | 2 | yes | — |
| 184 | C2×C4×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 185 | C43 | C2×D8 | 1 | 1 | yes | characteristic |
| 186 | D32 | — | 4 | 16 | no | — |
| 187 | M64 | — | 2 | 8 | no | — |
| 188 | M64 | — | 2 | 8 | no | — |
| 189 | C2×C32 | — | 2 | 4 | no | — |
| 190 | C2×C32 | C4×D4 | 1 | 4 | yes | — |
| 191 | C2×C32 | C4×D4 | 1 | 4 | yes | — |
| 192 | #366 | — | 2 | 8 | no | — |
| 193 | #366 | — | 4 | 4 | no | — |
| 194 | #357 | — | 4 | 8 | no | — |
| 195 | #357 | — | 4 | 8 | no | — |
| 196 | #346 | — | 2 | 8 | no | — |
| 197 | #346 | — | 4 | 4 | no | — |
| 198 | C4×C16 | — | 2 | 1 | no | — |
| 199 | C4×C16 | — | 2 | 1 | no | — |
| 200 | C4×C16 | C4×D4 | 1 | 1 | yes | characteristic |
| 201 | C4×C16 | C4×D4 | 1 | 1 | yes | characteristic |
| 202 | C4×C16 | #127 | 1 | 2 | yes | — |
| 203 | C4×C16 | C2×D8 | 1 | 2 | yes | — |
| 204 | C4×C16 | C2×D8 | 1 | 2 | yes | — |
| 205 | C4×C16 | C23×C4 | 1 | 1 | yes | characteristic |
| 206 | C4×C16 | C22×D4 | 1 | 2 | yes | — |
| 207 | C4×C16 | C2×#41 | 1 | 1 | yes | characteristic |
| 208 | #335 | — | 4 | 4 | no | — |
| 209 | #335 | — | 4 | 4 | no | — |
| 210 | #335 | — | 8 | 4 | no | — |
| 211 | D4⋊C8 | — | 8 | 8 | no | — |
| 212 | D4⋊C8 | — | 8 | 4 | no | — |
| 213 | D4⋊C8 | — | 8 | 4 | no | — |
| 214 | C82 | — | 2 | 4 | no | — |
| 215 | C82 | C4×D4 | 1 | 1 | yes | characteristic |
| 216 | C82 | C4×D4 | 1 | 1 | yes | characteristic |
| 217 | C82 | #127 | 1 | 1 | yes | characteristic |
| 218 | C82 | #127 | 1 | 1 | yes | characteristic |
| 219 | C82 | C2×D8 | 1 | 2 | yes | — |
| 220 | C82 | #135 | 1 | 2 | yes | — |
| 221 | C2×#41 | — | 8 | 4 | no | — |
| 222 | #135 | — | 16 | 8 | no | — |
| 223 | #135 | — | 16 | 8 | no | — |
| 224 | C2×Q16 | — | 8 | 4 | no | — |
| 225 | C2×SD16 | — | 8 | 8 | no | — |
| 226 | C2×D8 | — | 4 | 4 | no | — |
| 227 | C2×D8 | — | 4 | 4 | no | — |
| 228 | C2×D8 | — | 8 | 4 | no | — |
| 229 | C2×D8 | — | 8 | 4 | no | — |
| 230 | #131 | — | 16 | 16 | no | — |
| 231 | C2×M16 | — | 8 | 4 | no | — |
| 232 | C2×M16 | — | 16 | 4 | no | — |
| 233 | C22×C8 | — | 2 | 2 | no | — |
| 234 | C22×C8 | — | 2 | 1 | no | — |
| 235 | C22×C8 | — | 16 | 4 | no | — |
| 236 | C22×C8 | #509 | 1 | 4 | yes | — |
| 237 | C22×C8 | #532 | 1 | 1 | yes | characteristic |
| 238 | C22×C8 | C2×#135 | 1 | 1 | yes | characteristic |
| 239 | C4⋊Q8 | — | 4 | 4 | no | — |
| 240 | #127 | — | 4 | 4 | no | — |
| 241 | #124 | — | 8 | 4 | no | — |
| 242 | #121 | — | 8 | 4 | no | — |
| 243 | #121 | — | 8 | 4 | no | — |
| 244 | C4×D4 | — | 8 | 4 | no | — |
| 245 | C4×D4 | — | 8 | 4 | no | — |
| 246 | C2×C42 | — | 2 | 1 | no | — |
| 247 | C2×C42 | — | 2 | 2 | no | — |
| 248 | C2×C42 | C22×D8 | 1 | 1 | yes | characteristic |
| 249 | D16 | — | 4 | 16 | no | — |
| 250 | D16 | — | 8 | 8 | no | — |
| 251 | C2×C16 | — | 2 | 4 | no | — |
| 252 | C2×C16 | — | 2 | 2 | no | — |
| 253 | C2×C16 | — | 2 | 4 | no | — |
| 254 | C2×C16 | — | 2 | 4 | no | — |
| 255 | C2×C16 | — | 2 | 2 | no | — |
| 256 | C2×C16 | — | 4 | 2 | no | — |
| 257 | C2×C16 | C4×D8 | 1 | 2 | yes | — |
| 258 | C2×C16 | C4×D8 | 1 | 2 | yes | — |
| 259 | C2×C16 | C2×C4×D4 | 1 | 2 | yes | — |
| 260 | C2×C16 | #532 | 1 | 2 | yes | — |
| 261 | #108 | — | 16 | 8 | no | — |
| 262 | #107 | — | 4 | 4 | no | — |
| 263 | #107 | — | 4 | 4 | no | — |
| 264 | #107 | — | 8 | 4 | no | — |
| 265 | C4⋊C8 | — | 8 | 4 | no | — |
| 266 | C4⋊C8 | — | 8 | 4 | no | — |
| 267 | #104 | — | 16 | 16 | no | — |
| 268 | #102 | — | 8 | 4 | no | — |
| 269 | #102 | — | 8 | 4 | no | — |
| 270 | #102 | — | 8 | 8 | no | — |
| 271 | C22⋊C8 | — | 16 | 4 | no | — |
| 272 | C22⋊C8 | — | 16 | 4 | no | — |
| 273 | C4×C8 | — | 2 | 4 | no | — |
| 274 | C4×C8 | — | 2 | 2 | no | — |
| 275 | C4×C8 | — | 2 | 2 | no | — |
| 276 | C4×C8 | — | 4 | 2 | no | — |
| 277 | C4×C8 | — | 4 | 8 | no | — |
| 278 | C4×C8 | C4×D8 | 1 | 2 | yes | — |
| 279 | C4×C8 | C4×D8 | 1 | 2 | yes | — |
| 280 | C4×C8 | #493 | 1 | 2 | yes | — |
| 281 | C4×C8 | #493 | 1 | 2 | yes | — |
| 282 | C4×C8 | #509 | 1 | 4 | yes | — |
| 283 | C4×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 284 | C4×C8 | C2×#127 | 1 | 1 | yes | characteristic |
| 285 | C4×C8 | C22×D8 | 1 | 1 | yes | characteristic |
| 286 | C4×C8 | C2×#135 | 1 | 1 | yes | characteristic |
| 287 | C32 | — | 2 | 8 | no | — |
| 288 | C32 | — | 2 | 4 | no | — |
| 289 | C32 | #443 | 1 | 8 | yes | complemented |
| 290 | #41 | — | 16 | 8 | no | — |
| 291 | #41 | — | 16 | 8 | no | — |
| 292 | C2×Q8 | — | 8 | 4 | no | — |
| 293 | C2×D4 | — | 8 | 4 | no | — |
| 294 | C2×D4 | — | 8 | 4 | no | — |
| 295 | C2×D4 | — | 8 | 4 | no | — |
| 296 | C2×D4 | — | 16 | 4 | no | — |
| 297 | C22×C4 | — | 4 | 1 | no | — |
| 298 | C22×C4 | — | 16 | 4 | no | — |
| 299 | C22×C4 | #3169 | 1 | 1 | yes | characteristic |
| 300 | C22×C4 | C2×#509 | 1 | 2 | yes | — |
| 301 | Q16 | — | 16 | 8 | no | — |
| 302 | SD16 | — | 16 | 16 | no | — |
| 303 | D8 | — | 8 | 8 | no | — |
| 304 | D8 | — | 8 | 8 | no | — |
| 305 | D8 | — | 16 | 8 | no | — |
| 306 | D8 | — | 16 | 8 | no | — |
| 307 | M16 | — | 16 | 8 | no | — |
| 308 | M16 | — | 32 | 8 | no | — |
| 309 | C2×C8 | — | 2 | 8 | no | — |
| 310 | C2×C8 | — | 2 | 2 | no | — |
| 311 | C2×C8 | — | 2 | 2 | no | — |
| 312 | C2×C8 | — | 2 | 2 | no | — |
| 313 | C2×C8 | — | 2 | 2 | no | — |
| 314 | C2×C8 | — | 2 | 2 | no | — |
| 315 | C2×C8 | — | 4 | 1 | no | — |
| 316 | C2×C8 | — | 4 | 4 | no | — |
| 317 | C2×C8 | — | 4 | 1 | no | — |
| 318 | C2×C8 | — | 16 | 4 | no | — |
| 319 | C2×C8 | — | 32 | 8 | no | — |
| 320 | C2×C8 | #2177 | 1 | 4 | yes | — |
| 321 | C2×C8 | #2177 | 1 | 4 | yes | — |
| 322 | C2×C8 | C4×#127 | 1 | 1 | yes | characteristic |
| 323 | C2×C8 | C2×C4×D8 | 1 | 1 | yes | characteristic |
| 324 | C2×C8 | #3147 | 1 | 1 | yes | characteristic |
| 325 | C2×C8 | #3169 | 1 | 1 | yes | characteristic |
| 326 | C4⋊C4 | — | 8 | 4 | no | — |
| 327 | C4⋊C4 | — | 8 | 4 | no | — |
| 328 | C22⋊C4 | — | 16 | 4 | no | — |
| 329 | C22⋊C4 | — | 16 | 4 | no | — |
| 330 | C42 | — | 2 | 2 | no | — |
| 331 | C42 | — | 4 | 1 | no | — |
| 332 | C42 | — | 4 | 4 | no | — |
| 333 | C42 | C2×C4×D8 | 1 | 1 | yes | characteristic |
| 334 | C42 | C2×#493 | 1 | 1 | yes | characteristic |
| 335 | C42 | C2×#509 | 1 | 2 | yes | — |
| 336 | C16 | — | 2 | 4 | no | — |
| 337 | C16 | — | 2 | 2 | no | — |
| 338 | C16 | — | 2 | 2 | no | — |
| 339 | C16 | — | 4 | 2 | no | — |
| 340 | C16 | #2179 | 1 | 4 | yes | — |
| 341 | C16 | C2×#443 | 1 | 4 | yes | — |
| 342 | C23 | — | 16 | 4 | no | — |
| 343 | C23 | #33748 | 1 | 1 | yes | characteristic |
| 344 | Q8 | — | 16 | 8 | no | — |
| 345 | D4 | — | 16 | 8 | no | — |
| 346 | D4 | — | 16 | 8 | no | — |
| 347 | D4 | — | 16 | 4 | no | — |
| 348 | D4 | — | 16 | 4 | no | — |
| 349 | D4 | — | 32 | 8 | no | — |
| 350 | C2×C4 | — | 2 | 4 | no | — |
| 351 | C2×C4 | — | 2 | 1 | no | — |
| 352 | C2×C4 | — | 2 | 1 | no | — |
| 353 | C2×C4 | — | 4 | 2 | no | — |
| 354 | C2×C4 | — | 8 | 2 | no | — |
| 355 | C2×C4 | — | 16 | 4 | no | — |
| 356 | C2×C4 | — | 32 | 4 | no | — |
| 357 | C2×C4 | — | 32 | 4 | no | — |
| 358 | C2×C4 | C4×#493 | 1 | 1 | yes | characteristic |
| 359 | C2×C4 | C2×#2177 | 1 | 2 | yes | — |
| 360 | C2×C4 | #33717 | 1 | 2 | yes | — |
| 361 | C2×C4 | #33748 | 1 | 1 | yes | characteristic |
| 362 | C8 | — | 2 | 4 | no | — |
| 363 | C8 | — | 2 | 1 | no | — |
| 364 | C8 | — | 2 | 1 | no | — |
| 365 | C8 | — | 4 | 2 | no | — |
| 366 | C8 | — | 4 | 2 | no | — |
| 367 | C8 | — | 4 | 2 | no | — |
| 368 | C8 | — | 32 | 4 | no | — |
| 369 | C8 | #13658 | 1 | 8 | yes | — |
| 370 | C8 | #21705 | 1 | 2 | yes | — |
| 371 | C8 | C2×#2179 | 1 | 2 | yes | — |
| 372 | C22 | — | 2 | 1 | no | — |
| 373 | C22 | — | 2 | 2 | no | — |
| 374 | C22 | — | 32 | 4 | no | — |
| 375 | C22 | — | 32 | 4 | no | — |
| 376 | C22 | — | 32 | 4 | no | — |
| 377 | C22 | #496104 | 1 | 1 | yes | characteristic |
| 378 | C4 | — | 2 | 1 | no | — |
| 379 | C4 | — | 2 | 2 | no | — |
| 380 | C4 | — | 8 | 2 | no | — |
| 381 | C4 | — | 32 | 4 | no | — |
| 382 | C4 | #213237 | 1 | 1 | yes | characteristic |
| 383 | C4 | #496112 | 1 | 1 | yes | characteristic |
| 384 | C4 | C2×#13658 | 1 | 4 | yes | — |
| 385 | C2 | — | 4 | 1 | no | — |
| 386 | C2 | — | 64 | 4 | no | — |
| 387 | C2 | #72216241 | 1 | 1 | yes | characteristic |
| 388 | C2 | #72216315 | 1 | 2 | yes | — |
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