← #27469917
Subgroups — #27469917
Order 13568.
622 conjugacy classes of subgroups.
The subgroup lattice has 384 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #20284367 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #20283324 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #20276184 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #20276183 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #20275629 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #20275268 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #20275267 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #20275235 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #20274837 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #20274517 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | C53×#1909 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | C22×#11719925 | C22 | 1 | 1 | yes | characteristic |
| 13 | #16811390 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×#13133224 | C22 | 1 | 1 | yes | characteristic |
| 15 | #16811194 | C22 | 1 | 1 | yes | characteristic |
| 16 | #16810879 | — | 2 | 2 | no | — |
| 17 | #16810862 | — | 2 | 2 | no | — |
| 18 | #16810671 | — | 2 | 2 | no | — |
| 19 | #16810671 | C22 | 1 | 2 | yes | — |
| 20 | C2×#13133152 | — | 2 | 2 | no | — |
| 21 | C2×#13133152 | C22 | 1 | 2 | yes | — |
| 22 | #16810659 | C22 | 1 | 1 | yes | characteristic |
| 23 | #16810632 | C22 | 1 | 1 | yes | characteristic |
| 24 | #16810631 | C22 | 1 | 1 | yes | characteristic |
| 25 | #16810631 | C22 | 1 | 2 | yes | — |
| 26 | #16810607 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#13133136 | C22 | 1 | 2 | yes | — |
| 28 | C2×#13133135 | C22 | 1 | 2 | yes | — |
| 29 | #16810579 | C22 | 1 | 2 | yes | — |
| 30 | #16810395 | C22 | 1 | 2 | yes | — |
| 31 | #16810393 | C22 | 1 | 2 | yes | — |
| 32 | #16810393 | C22 | 1 | 2 | yes | — |
| 33 | #16810379 | C22 | 1 | 2 | yes | — |
| 34 | C53×#568 | C22 | 1 | 1 | yes | characteristic |
| 35 | C53×#536 | C22 | 1 | 1 | yes | characteristic |
| 36 | C53×#419 | C22 | 1 | 2 | yes | — |
| 37 | C53×#410 | C22 | 1 | 1 | yes | characteristic |
| 38 | C53×H(3,ℤ/4) | C22 | 1 | 2 | yes | — |
| 39 | C22×Dic106 | C23 | 1 | 1 | yes | characteristic |
| 40 | C2×#11719925 | — | 2 | 1 | no | — |
| 41 | C2×#11719925 | — | 2 | 1 | no | — |
| 42 | C2×#11719925 | — | 2 | 2 | no | — |
| 43 | C2×#11719925 | — | 2 | 2 | no | — |
| 44 | #13133224 | — | 2 | 2 | no | — |
| 45 | #13133224 | — | 2 | 2 | no | — |
| 46 | #13133224 | — | 4 | 2 | no | — |
| 47 | C2×#11719917 | — | 2 | 2 | no | — |
| 48 | C2×#11719917 | D4 | 1 | 2 | yes | — |
| 49 | C2×#11719917 | C23 | 1 | 2 | yes | — |
| 50 | C2×#11719917 | C23 | 1 | 2 | yes | — |
| 51 | C2×#11719917 | C23 | 1 | 1 | yes | characteristic |
| 52 | C22×#88322 | D4 | 1 | 2 | yes | — |
| 53 | C22×#88322 | C23 | 1 | 1 | yes | characteristic |
| 54 | #13133215 | — | 2 | 1 | no | — |
| 55 | #13133204 | — | 2 | 1 | no | — |
| 56 | #13133198 | — | 2 | 2 | no | — |
| 57 | #13133196 | — | 2 | 2 | no | — |
| 58 | #13133176 | C23 | 1 | 1 | yes | characteristic |
| 59 | #13133152 | — | 2 | 2 | no | — |
| 60 | #13133152 | — | 2 | 4 | no | — |
| 61 | #13133152 | — | 2 | 2 | no | — |
| 62 | #13133150 | — | 2 | 1 | no | — |
| 63 | #13133148 | — | 2 | 1 | no | — |
| 64 | #13133141 | — | 2 | 2 | no | — |
| 65 | #13133140 | — | 2 | 2 | no | — |
| 66 | #13133140 | — | 4 | 2 | no | — |
| 67 | #13133136 | — | 2 | 1 | no | — |
| 68 | #13133136 | — | 4 | 2 | no | — |
| 69 | #13133135 | — | 4 | 2 | no | — |
| 70 | #13133134 | — | 2 | 1 | no | — |
| 71 | #13133128 | — | 2 | 2 | no | — |
| 72 | C4×#88322 | — | 2 | 2 | no | — |
| 73 | C2×#41×C53 | C23 | 1 | 1 | yes | characteristic |
| 74 | C22×Q8×C53 | C23 | 1 | 1 | yes | characteristic |
| 75 | #131×C53 | — | 4 | 2 | no | — |
| 76 | C2×M16×C53 | — | 2 | 2 | no | — |
| 77 | C2×M16×C53 | C23 | 1 | 2 | yes | — |
| 78 | C4⋊Q8×C53 | — | 2 | 1 | no | — |
| 79 | #124×C53 | — | 2 | 1 | no | — |
| 80 | #123×C53 | — | 2 | 2 | no | — |
| 81 | C22⋊Q8×C53 | — | 2 | 2 | no | — |
| 82 | #117×C53 | C23 | 1 | 1 | yes | characteristic |
| 83 | #117×C53 | C23 | 1 | 2 | yes | — |
| 84 | #103×C53 | — | 4 | 2 | no | — |
| 85 | #99×C53 | — | 2 | 2 | no | — |
| 86 | #41×C53 | — | 2 | 2 | no | — |
| 87 | #41×C53 | — | 2 | 2 | no | — |
| 88 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 89 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 90 | C2×Q8×C53 | — | 2 | 2 | no | — |
| 91 | C2×Q8×C53 | — | 2 | 2 | no | — |
| 92 | C2×Q8×C53 | #41 | 1 | 1 | yes | characteristic |
| 93 | C2×D4×C53 | #41 | 1 | 2 | yes | — |
| 94 | C2×D4×C53 | #41 | 1 | 1 | yes | characteristic |
| 95 | C22×C4×C53 | — | 2 | 1 | no | — |
| 96 | C22×C4×C53 | C2×D4 | 1 | 2 | yes | — |
| 97 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 98 | C22×Dic53 | — | 2 | 1 | no | — |
| 99 | C2×Dic106 | — | 2 | 1 | no | — |
| 100 | C2×Dic106 | — | 2 | 1 | no | — |
| 101 | C2×Dic106 | — | 2 | 2 | no | — |
| 102 | C2×Dic106 | — | 2 | 2 | no | — |
| 103 | M16×C53 | — | 2 | 2 | no | — |
| 104 | M16×C53 | — | 2 | 2 | no | — |
| 105 | M16×C53 | — | 4 | 2 | no | — |
| 106 | C2×C8×C53 | — | 2 | 2 | no | — |
| 107 | C2×C8×C53 | — | 4 | 2 | no | — |
| 108 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 109 | C4⋊C4×C53 | — | 2 | 2 | no | — |
| 110 | C4⋊C4×C53 | — | 4 | 2 | no | — |
| 111 | C22⋊C4×C53 | — | 2 | 2 | no | — |
| 112 | C22⋊C4×C53 | — | 2 | 1 | no | — |
| 113 | C22⋊C4×C53 | — | 4 | 2 | no | — |
| 114 | C42×C53 | — | 2 | 1 | no | — |
| 115 | C42×C53 | — | 2 | 2 | no | — |
| 116 | C22⋊Dic53 | — | 2 | 1 | no | — |
| 117 | C22⋊Dic53 | — | 4 | 2 | no | — |
| 118 | #11719925 | — | 4 | 1 | no | — |
| 119 | #11719925 | — | 4 | 1 | no | — |
| 120 | #11719925 | — | 4 | 2 | no | — |
| 121 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 122 | #11719919 | — | 4 | 2 | no | — |
| 123 | C4×Dic53 | — | 2 | 1 | no | — |
| 124 | #11719917 | — | 2 | 2 | no | — |
| 125 | #11719917 | — | 2 | 4 | no | — |
| 126 | #11719917 | — | 2 | 2 | no | — |
| 127 | #11719917 | — | 2 | 2 | no | — |
| 128 | #11719917 | — | 2 | 2 | no | — |
| 129 | #11719917 | — | 2 | 2 | no | — |
| 130 | #11719917 | — | 4 | 2 | no | — |
| 131 | C2×#88322 | — | 2 | 2 | no | — |
| 132 | C2×#88322 | — | 2 | 2 | no | — |
| 133 | C2×#88322 | — | 2 | 2 | no | — |
| 134 | C2×#88322 | — | 2 | 2 | no | — |
| 135 | C2×#88322 | — | 4 | 2 | no | — |
| 136 | C2×#88322 | C2×D4 | 1 | 2 | yes | — |
| 137 | C2×#88322 | C2×D4 | 1 | 1 | yes | characteristic |
| 138 | C2×#88322 | C2×D4 | 1 | 1 | yes | characteristic |
| 139 | C2×#88322 | #41 | 1 | 2 | yes | — |
| 140 | C2×#88322 | #41 | 1 | 2 | yes | — |
| 141 | C23×C53 | #124 | 1 | 2 | yes | — |
| 142 | C23×C53 | C2×#41 | 1 | 1 | yes | characteristic |
| 143 | Q8×C53 | — | 2 | 2 | no | — |
| 144 | Q8×C53 | — | 4 | 1 | no | — |
| 145 | Q8×C53 | — | 4 | 1 | no | — |
| 146 | Q8×C53 | — | 4 | 2 | no | — |
| 147 | D4×C53 | — | 2 | 4 | no | — |
| 148 | D4×C53 | — | 2 | 2 | no | — |
| 149 | C2×C4×C53 | — | 2 | 2 | no | — |
| 150 | C2×C4×C53 | — | 2 | 2 | no | — |
| 151 | C2×C4×C53 | — | 4 | 1 | no | — |
| 152 | C2×C4×C53 | — | 4 | 1 | no | — |
| 153 | C2×C4×C53 | — | 4 | 2 | no | — |
| 154 | C2×C4×C53 | — | 4 | 2 | no | — |
| 155 | C2×C4×C53 | #124 | 1 | 2 | yes | — |
| 156 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 157 | C2×C4×C53 | C2×#41 | 1 | 2 | yes | — |
| 158 | C2×C4×C53 | C2×#41 | 1 | 1 | yes | characteristic |
| 159 | C2×C4×C53 | H(5,𝔽2) | 1 | 2 | yes | — |
| 160 | C2×Dic53 | — | 4 | 1 | no | — |
| 161 | C2×Dic53 | — | 4 | 1 | no | — |
| 162 | C2×Dic53 | — | 4 | 2 | no | — |
| 163 | Dic106 | — | 4 | 1 | no | — |
| 164 | Dic106 | — | 4 | 1 | no | — |
| 165 | Dic106 | — | 4 | 2 | no | — |
| 166 | C8×C53 | — | 4 | 2 | no | — |
| 167 | #88322 | — | 2 | 2 | no | — |
| 168 | #88322 | — | 4 | 2 | no | — |
| 169 | #88322 | — | 4 | 2 | no | — |
| 170 | #88322 | #123 | 1 | 1 | yes | characteristic |
| 171 | #88322 | #123 | 1 | 1 | yes | characteristic |
| 172 | #88322 | #123 | 1 | 2 | yes | — |
| 173 | #27988 | — | 53 | 1 | no | maximal, Sylow |
| 174 | C22×C53 | — | 2 | 2 | no | — |
| 175 | C22×C53 | — | 4 | 1 | no | — |
| 176 | C22×C53 | — | 4 | 2 | no | — |
| 177 | C22×C53 | C2×#124 | 1 | 1 | yes | characteristic |
| 178 | C22×C53 | #553 | 1 | 2 | yes | — |
| 179 | C4×C53 | — | 2 | 2 | no | — |
| 180 | C4×C53 | — | 8 | 1 | no | — |
| 181 | C4×C53 | — | 8 | 2 | no | — |
| 182 | C4×C53 | — | 8 | 1 | no | — |
| 183 | C4×C53 | C2×#123 | 1 | 1 | yes | characteristic |
| 184 | C4×C53 | #535 | 1 | 1 | yes | characteristic |
| 185 | C4×C53 | #553 | 1 | 2 | yes | — |
| 186 | Dic53 | — | 8 | 1 | no | — |
| 187 | Dic53 | — | 8 | 1 | no | — |
| 188 | #3059 | — | 53 | 1 | no | — |
| 189 | #2916 | — | 53 | 1 | no | — |
| 190 | #2082 | — | 53 | 2 | no | — |
| 191 | #2082 | — | 53 | 2 | no | — |
| 192 | #1979 | — | 53 | 2 | no | — |
| 193 | #1915 | — | 53 | 1 | no | — |
| 194 | #1915 | — | 53 | 1 | no | — |
| 195 | #1909 | — | 53 | 1 | no | — |
| 196 | #1909 | D53 | 1 | 1 | yes | characteristic |
| 197 | #1833 | — | 53 | 2 | no | — |
| 198 | #1757 | — | 53 | 1 | no | — |
| 199 | C2×C53 | — | 2 | 1 | no | — |
| 200 | C2×C53 | — | 2 | 2 | no | — |
| 201 | C2×C53 | — | 4 | 2 | no | — |
| 202 | C2×C53 | #2504 | 1 | 1 | yes | characteristic |
| 203 | C22×Q16 | — | 53 | 1 | no | — |
| 204 | #568 | — | 53 | 1 | no | — |
| 205 | #568 | C2×D53 | 1 | 1 | yes | characteristic |
| 206 | C2×#131 | — | 53 | 1 | no | — |
| 207 | #536 | — | 53 | 1 | no | — |
| 208 | #536 | C2×D53 | 1 | 1 | yes | characteristic |
| 209 | #470 | — | 106 | 2 | no | — |
| 210 | #467 | — | 106 | 2 | no | — |
| 211 | #430 | — | 53 | 2 | no | — |
| 212 | #430 | — | 106 | 2 | no | — |
| 213 | C2×#108 | — | 53 | 2 | no | — |
| 214 | C2×#108 | — | 106 | 2 | no | — |
| 215 | #427 | — | 53 | 1 | no | — |
| 216 | #419 | — | 53 | 1 | no | — |
| 217 | #419 | — | 53 | 1 | no | — |
| 218 | #419 | — | 53 | 2 | no | — |
| 219 | #419 | C2×D53 | 1 | 2 | yes | — |
| 220 | #413 | — | 53 | 1 | no | — |
| 221 | C2×#101 | — | 53 | 2 | no | — |
| 222 | C2×#101 | — | 53 | 2 | no | — |
| 223 | #410 | C2×D53 | 1 | 1 | yes | characteristic |
| 224 | #405 | — | 53 | 2 | no | — |
| 225 | #344 | — | 53 | 2 | no | — |
| 226 | #344 | — | 53 | 2 | no | — |
| 227 | #344 | — | 53 | 2 | no | — |
| 228 | H(3,ℤ/4) | — | 53 | 2 | no | — |
| 229 | H(3,ℤ/4) | C2×D53 | 1 | 2 | yes | — |
| 230 | C53 | #27988 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 231 | C2×#41 | C22×D53 | 1 | 1 | yes | characteristic |
| 232 | C22×Q8 | — | 53 | 1 | no | — |
| 233 | C22×Q8 | C22×D53 | 1 | 1 | yes | characteristic |
| 234 | C2×Q16 | — | 106 | 2 | no | — |
| 235 | C2×Q16 | — | 106 | 2 | no | — |
| 236 | C2×Q16 | — | 106 | 1 | no | — |
| 237 | C2×Q16 | — | 106 | 1 | no | — |
| 238 | #131 | — | 4 | 2 | no | — |
| 239 | #131 | — | 106 | 2 | no | — |
| 240 | #131 | — | 106 | 2 | no | — |
| 241 | #131 | — | 212 | 2 | no | — |
| 242 | C2×M16 | — | 2 | 2 | no | — |
| 243 | C2×M16 | — | 53 | 2 | no | — |
| 244 | C2×M16 | — | 53 | 1 | no | — |
| 245 | C2×M16 | — | 53 | 2 | no | — |
| 246 | C2×M16 | — | 53 | 2 | no | — |
| 247 | C2×M16 | — | 106 | 2 | no | — |
| 248 | C2×M16 | C22×D53 | 1 | 2 | yes | — |
| 249 | C22×C8 | — | 53 | 1 | no | — |
| 250 | C22×C8 | — | 53 | 2 | no | — |
| 251 | C4⋊Q8 | — | 2 | 1 | no | — |
| 252 | C4⋊Q8 | — | 106 | 1 | no | — |
| 253 | #124 | — | 2 | 1 | no | — |
| 254 | #124 | — | 106 | 1 | no | — |
| 255 | #123 | — | 2 | 2 | no | — |
| 256 | #123 | — | 106 | 2 | no | — |
| 257 | C22⋊Q8 | — | 2 | 2 | no | — |
| 258 | C22⋊Q8 | — | 106 | 2 | no | — |
| 259 | #117 | — | 53 | 1 | no | — |
| 260 | #117 | C22×D53 | 1 | 1 | yes | characteristic |
| 261 | #117 | C22×D53 | 1 | 2 | yes | — |
| 262 | #108 | — | 106 | 2 | no | — |
| 263 | #108 | — | 106 | 2 | no | — |
| 264 | #108 | — | 106 | 4 | no | — |
| 265 | #107 | — | 106 | 1 | no | — |
| 266 | #106 | — | 106 | 1 | no | — |
| 267 | #103 | — | 4 | 2 | no | — |
| 268 | #103 | — | 106 | 2 | no | — |
| 269 | #103 | — | 106 | 2 | no | — |
| 270 | #103 | — | 212 | 2 | no | — |
| 271 | #101 | — | 106 | 1 | no | — |
| 272 | #101 | — | 212 | 2 | no | — |
| 273 | #101 | — | 212 | 2 | no | — |
| 274 | #100 | — | 106 | 1 | no | — |
| 275 | #99 | — | 2 | 2 | no | — |
| 276 | #97 | — | 106 | 2 | no | — |
| 277 | C4×C8 | — | 106 | 2 | no | — |
| 278 | #41 | — | 2 | 2 | no | — |
| 279 | #41 | — | 2 | 2 | no | — |
| 280 | C2×Q8 | — | 2 | 1 | no | — |
| 281 | C2×Q8 | — | 2 | 2 | no | — |
| 282 | C2×Q8 | — | 2 | 1 | no | — |
| 283 | C2×Q8 | — | 2 | 2 | no | — |
| 284 | C2×Q8 | — | 106 | 1 | no | — |
| 285 | C2×Q8 | — | 106 | 2 | no | — |
| 286 | C2×Q8 | — | 106 | 1 | no | — |
| 287 | C2×Q8 | — | 106 | 2 | no | — |
| 288 | C2×Q8 | #11719945 | 1 | 1 | yes | characteristic |
| 289 | C2×D4 | #11719945 | 1 | 1 | yes | characteristic |
| 290 | C2×D4 | #11719947 | 1 | 2 | yes | — |
| 291 | C22×C4 | — | 2 | 1 | no | — |
| 292 | C22×C4 | — | 106 | 1 | no | — |
| 293 | C22×C4 | D4×D53 | 1 | 2 | yes | — |
| 294 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 295 | Q16 | — | 212 | 1 | no | — |
| 296 | Q16 | — | 212 | 1 | no | — |
| 297 | Q16 | — | 212 | 2 | no | — |
| 298 | M16 | — | 2 | 2 | no | — |
| 299 | M16 | — | 2 | 2 | no | — |
| 300 | M16 | — | 4 | 2 | no | — |
| 301 | M16 | — | 106 | 4 | no | — |
| 302 | M16 | — | 106 | 2 | no | — |
| 303 | M16 | — | 106 | 2 | no | — |
| 304 | M16 | — | 106 | 2 | no | — |
| 305 | M16 | — | 106 | 2 | no | — |
| 306 | M16 | — | 106 | 2 | no | — |
| 307 | M16 | — | 212 | 2 | no | — |
| 308 | C2×C8 | — | 2 | 2 | no | — |
| 309 | C2×C8 | — | 4 | 2 | no | — |
| 310 | C2×C8 | — | 53 | 1 | no | — |
| 311 | C2×C8 | — | 53 | 1 | no | — |
| 312 | C2×C8 | — | 53 | 2 | no | — |
| 313 | C2×C8 | — | 53 | 2 | no | — |
| 314 | C2×C8 | — | 53 | 2 | no | — |
| 315 | C2×C8 | — | 106 | 2 | no | — |
| 316 | C2×C8 | — | 106 | 2 | no | — |
| 317 | C2×C8 | — | 106 | 2 | no | — |
| 318 | C2×C8 | — | 106 | 2 | no | — |
| 319 | C2×C8 | — | 212 | 2 | no | — |
| 320 | C4⋊C4 | — | 2 | 1 | no | — |
| 321 | C4⋊C4 | — | 2 | 2 | no | — |
| 322 | C4⋊C4 | — | 4 | 2 | no | — |
| 323 | C4⋊C4 | — | 106 | 1 | no | — |
| 324 | C4⋊C4 | — | 212 | 2 | no | — |
| 325 | C22⋊C4 | — | 2 | 2 | no | — |
| 326 | C22⋊C4 | — | 2 | 1 | no | — |
| 327 | C22⋊C4 | — | 4 | 2 | no | — |
| 328 | C22⋊C4 | — | 106 | 1 | no | — |
| 329 | C22⋊C4 | — | 212 | 2 | no | — |
| 330 | C42 | — | 2 | 2 | no | — |
| 331 | C42 | — | 2 | 1 | no | — |
| 332 | C42 | — | 106 | 1 | no | — |
| 333 | C23 | #13133203 | 1 | 2 | yes | — |
| 334 | C23 | C2×#11719947 | 1 | 1 | yes | characteristic |
| 335 | Q8 | — | 2 | 2 | no | — |
| 336 | Q8 | — | 4 | 2 | no | — |
| 337 | Q8 | — | 4 | 1 | no | — |
| 338 | Q8 | — | 4 | 1 | no | — |
| 339 | Q8 | — | 212 | 2 | no | — |
| 340 | Q8 | — | 212 | 1 | no | — |
| 341 | Q8 | — | 212 | 1 | no | — |
| 342 | D4 | — | 2 | 4 | no | — |
| 343 | D4 | — | 2 | 2 | no | — |
| 344 | C2×C4 | — | 2 | 2 | no | — |
| 345 | C2×C4 | — | 2 | 2 | no | — |
| 346 | C2×C4 | — | 4 | 2 | no | — |
| 347 | C2×C4 | — | 4 | 2 | no | — |
| 348 | C2×C4 | — | 4 | 1 | no | — |
| 349 | C2×C4 | — | 4 | 1 | no | — |
| 350 | C2×C4 | — | 212 | 2 | no | — |
| 351 | C2×C4 | — | 212 | 1 | no | — |
| 352 | C2×C4 | — | 212 | 1 | no | — |
| 353 | C2×C4 | #13133203 | 1 | 2 | yes | — |
| 354 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 355 | C2×C4 | #41×D53 | 1 | 2 | yes | — |
| 356 | C2×C4 | C2×#11719945 | 1 | 1 | yes | characteristic |
| 357 | C2×C4 | #13133262 | 1 | 2 | yes | — |
| 358 | C8 | — | 4 | 2 | no | — |
| 359 | C8 | — | 53 | 1 | no | — |
| 360 | C8 | — | 53 | 1 | no | — |
| 361 | C8 | — | 53 | 2 | no | — |
| 362 | C8 | — | 106 | 2 | no | — |
| 363 | C8 | — | 212 | 2 | no | — |
| 364 | C8 | — | 212 | 2 | no | — |
| 365 | C22 | — | 2 | 2 | no | — |
| 366 | C22 | — | 4 | 1 | no | — |
| 367 | C22 | — | 4 | 2 | no | — |
| 368 | C22 | C2×#13133203 | 1 | 1 | yes | characteristic |
| 369 | C22 | #16811316 | 1 | 2 | yes | — |
| 370 | C4 | — | 2 | 2 | no | — |
| 371 | C4 | — | 8 | 1 | no | — |
| 372 | C4 | — | 8 | 2 | no | — |
| 373 | C4 | — | 8 | 1 | no | — |
| 374 | C4 | — | 424 | 1 | no | — |
| 375 | C4 | — | 424 | 1 | no | — |
| 376 | C4 | #123×D53 | 1 | 1 | yes | characteristic |
| 377 | C4 | #16811188 | 1 | 1 | yes | characteristic |
| 378 | C4 | #16811322 | 1 | 2 | yes | — |
| 379 | C2 | — | 2 | 1 | no | — |
| 380 | C2 | — | 2 | 2 | no | — |
| 381 | C2 | — | 4 | 2 | no | — |
| 382 | C2 | #20279205 | 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