← #72338310
Subgroups — #72338310
Order 4096.
Only the 1201 normal subgroups are shown; non-normal subgroups are omitted.
The subgroup lattice has 347 nodes (normal subgroups only) — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #72338306 | C2 | 1 | 4 | yes | maximal, complemented |
| 2 | #72338302 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #72338301 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #72338299 | C22 | 1 | 4 | yes | complemented |
| 5 | #72338296 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #72338295 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72338294 | C22 | 1 | 4 | yes | complemented |
| 8 | #72338209 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #72338208 | C22 | 1 | 2 | yes | complemented |
| 10 | #72338207 | C22 | 1 | 1 | yes | characteristic |
| 11 | #72318062 | C2 | 1 | 8 | yes | maximal, complemented |
| 12 | #72317999 | C22 | 1 | 8 | yes | complemented |
| 13 | #72317946 | C2 | 1 | 8 | yes | maximal, complemented |
| 14 | #72317938 | C22 | 1 | 4 | yes | complemented |
| 15 | #72317910 | C22 | 1 | 8 | yes | complemented |
| 16 | #72317884 | C22 | 1 | 4 | yes | complemented |
| 17 | #72317872 | C22 | 1 | 4 | yes | complemented |
| 18 | #72317867 | C22 | 1 | 8 | yes | complemented |
| 19 | #72317835 | C22 | 1 | 16 | yes | complemented |
| 20 | #72317815 | C22 | 1 | 8 | yes | complemented |
| 21 | #72317741 | C22 | 1 | 8 | yes | complemented |
| 22 | #72302242 | C22 | 1 | 1 | yes | characteristic |
| 23 | #72284524 | C22 | 1 | 8 | yes | complemented |
| 24 | #72284504 | C22 | 1 | 8 | yes | complemented |
| 25 | #72284445 | C22 | 1 | 16 | yes | complemented |
| 26 | #72279737 | C22 | 1 | 2 | yes | complemented |
| 27 | #72279504 | C22 | 1 | 8 | yes | complemented |
| 28 | #72252039 | C2 | 1 | 2 | yes | maximal, complemented |
| 29 | #72252023 | C22 | 1 | 4 | yes | complemented |
| 30 | #72252021 | C22 | 1 | 2 | yes | — |
| 31 | #72252020 | C22 | 1 | 2 | yes | — |
| 32 | #72251988 | C22 | 1 | 8 | yes | — |
| 33 | #72251975 | C22 | 1 | 4 | yes | complemented |
| 34 | #72251941 | C22 | 1 | 4 | yes | complemented |
| 35 | C2×#7622880 | C22 | 1 | 4 | yes | complemented |
| 36 | C22×#63011 | C22 | 1 | 1 | yes | characteristic |
| 37 | #72219689 | C22 | 1 | 4 | yes | complemented |
| 38 | C2×#63011 | D4 | 1 | 4 | yes | complemented |
| 39 | C2×#63011 | C23 | 1 | 4 | yes | — |
| 40 | C22×#3549 | C23 | 1 | 1 | yes | characteristic |
| 41 | C22×#3543 | D4 | 1 | 2 | yes | complemented |
| 42 | #10586066 | D4 | 1 | 2 | yes | complemented |
| 43 | C22×#3498 | C23 | 1 | 1 | yes | characteristic |
| 44 | C22×#3481 | C23 | 1 | 1 | yes | characteristic |
| 45 | C23×D42 | D4 | 1 | 2 | yes | complemented |
| 46 | C2×#60388 | D4 | 1 | 2 | yes | complemented |
| 47 | C2×#60388 | C23 | 1 | 2 | yes | — |
| 48 | C2×#33559 | C23 | 1 | 8 | yes | — |
| 49 | C2×#33546 | C23 | 1 | 8 | yes | — |
| 50 | C2×#33359 | C23 | 1 | 4 | yes | — |
| 51 | #7503371 | C23 | 1 | 4 | yes | complemented |
| 52 | #6437452 | D4 | 1 | 4 | yes | complemented |
| 53 | #6437452 | C23 | 1 | 4 | yes | — |
| 54 | #6437449 | D4 | 1 | 4 | yes | complemented |
| 55 | #6437437 | C23 | 1 | 4 | yes | — |
| 56 | #6374317 | C23 | 1 | 2 | yes | — |
| 57 | #6374304 | D4 | 1 | 2 | yes | complemented |
| 58 | #6371456 | D4 | 1 | 2 | yes | complemented |
| 59 | #6371456 | C23 | 1 | 2 | yes | — |
| 60 | #6370950 | D4 | 1 | 1 | yes | characteristic, complemented |
| 61 | #6370937 | D4 | 1 | 1 | yes | characteristic, complemented |
| 62 | #6370704 | D4 | 1 | 2 | yes | complemented |
| 63 | #6343804 | C23 | 1 | 2 | yes | — |
| 64 | #512578 | C23 | 1 | 16 | yes | complemented |
| 65 | #493630 | C23 | 1 | 8 | yes | — |
| 66 | #493577 | C23 | 1 | 8 | yes | — |
| 67 | #493431 | C23 | 1 | 4 | yes | — |
| 68 | #493430 | D4 | 1 | 8 | yes | complemented |
| 69 | #493370 | D4 | 1 | 8 | yes | complemented |
| 70 | #493365 | C23 | 1 | 4 | yes | — |
| 71 | #387625 | C23 | 1 | 4 | yes | complemented |
| 72 | #383066 | C23 | 1 | 8 | yes | complemented |
| 73 | #361631 | D4 | 1 | 4 | yes | complemented |
| 74 | #361631 | C23 | 1 | 4 | yes | — |
| 75 | #187836 | C23 | 1 | 4 | yes | — |
| 76 | #187400 | C23 | 1 | 8 | yes | — |
| 77 | #186576 | C23 | 1 | 8 | yes | — |
| 78 | #151854 | C23 | 1 | 8 | yes | complemented |
| 79 | #151842 | C23 | 1 | 8 | yes | complemented |
| 80 | #151782 | C23 | 1 | 16 | yes | complemented |
| 81 | C2×H(7,𝔽2) | C2×D4 | 1 | 2 | yes | complemented |
| 82 | C23×H(5,𝔽2) | C2×D4 | 1 | 2 | yes | — |
| 83 | #62852 | C2×D4 | 1 | 4 | yes | — |
| 84 | #62811 | C2×D4 | 1 | 4 | yes | complemented |
| 85 | C2×#3498 | C2×D4 | 1 | 2 | yes | — |
| 86 | C2×#3498 | C2×D4 | 1 | 2 | yes | — |
| 87 | C2×#3498 | C2×D4 | 1 | 4 | yes | — |
| 88 | C2×#3498 | C2×D4 | 1 | 2 | yes | — |
| 89 | C2×#3498 | C2×D4 | 1 | 2 | yes | — |
| 90 | C2×#3498 | #41 | 1 | 2 | yes | — |
| 91 | C2×#3498 | C24 | 1 | 2 | yes | — |
| 92 | C2×#3549 | C2×D4 | 1 | 2 | yes | — |
| 93 | C2×#3549 | C24 | 1 | 2 | yes | — |
| 94 | C2×#3543 | C2×D4 | 1 | 8 | yes | — |
| 95 | C2×#3481 | C2×D4 | 1 | 2 | yes | — |
| 96 | C2×#3481 | C24 | 1 | 2 | yes | — |
| 97 | C22×#559 | C2×D4 | 1 | 1 | yes | characteristic |
| 98 | C22×D42 | C2×D4 | 1 | 2 | yes | — |
| 99 | C22×D42 | C2×D4 | 1 | 1 | yes | characteristic |
| 100 | C22×D42 | C2×D4 | 1 | 8 | yes | — |
| 101 | C22×#535 | C2×D4 | 1 | 4 | yes | — |
| 102 | C22×#535 | C2×D4 | 1 | 2 | yes | — |
| 103 | C22×#532 | #41 | 1 | 2 | yes | — |
| 104 | C22×#532 | C24 | 1 | 1 | yes | characteristic |
| 105 | C23×#127 | C2×D4 | 1 | 2 | yes | — |
| 106 | C23×#127 | C2×D4 | 1 | 1 | yes | characteristic |
| 107 | #62652 | C2×D4 | 1 | 2 | yes | complemented |
| 108 | C22×C4×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 109 | C2×#3021 | C2×D4 | 1 | 4 | yes | — |
| 110 | C2×#3021 | C2×D4 | 1 | 4 | yes | complemented |
| 111 | C2×#3018 | C2×D4 | 1 | 4 | yes | complemented |
| 112 | C2×#3018 | C24 | 1 | 4 | yes | — |
| 113 | C2×#2920 | C2×D4 | 1 | 2 | yes | complemented |
| 114 | C2×#2888 | C2×D4 | 1 | 2 | yes | complemented |
| 115 | C2×#2888 | C2×D4 | 1 | 2 | yes | complemented |
| 116 | #34012 | C2×D4 | 1 | 2 | yes | complemented |
| 117 | C2×#2127 | C2×D4 | 1 | 16 | yes | complemented |
| 118 | C2×#2126 | C24 | 1 | 8 | yes | — |
| 119 | #21260 | C2×D4 | 1 | 8 | yes | complemented |
| 120 | #21209 | C2×D4 | 1 | 4 | yes | complemented |
| 121 | #21209 | C24 | 1 | 4 | yes | — |
| 122 | #20956 | C2×D4 | 1 | 4 | yes | — |
| 123 | #20956 | C2×D4 | 1 | 4 | yes | complemented |
| 124 | #20952 | C2×D4 | 1 | 4 | yes | complemented |
| 125 | #20952 | C24 | 1 | 4 | yes | — |
| 126 | #20637 | C2×D4 | 1 | 4 | yes | complemented |
| 127 | #20592 | C2×D4 | 1 | 4 | yes | — |
| 128 | #20591 | C2×D4 | 1 | 4 | yes | complemented |
| 129 | C4×#410 | C2×D4 | 1 | 4 | yes | complemented |
| 130 | #17663 | C24 | 1 | 4 | yes | — |
| 131 | #12696 | C2×D4 | 1 | 16 | yes | — |
| 132 | #12695 | C2×D4 | 1 | 8 | yes | complemented |
| 133 | #12694 | C2×D4 | 1 | 8 | yes | complemented |
| 134 | C2×#585 | C22×D4 | 1 | 4 | yes | — |
| 135 | C22×H(5,𝔽2) | #120 | 1 | 4 | yes | — |
| 136 | C22×H(5,𝔽2) | #120 | 1 | 2 | yes | — |
| 137 | C22×H(5,𝔽2) | #120 | 1 | 2 | yes | — |
| 138 | C22×H(5,𝔽2) | #121 | 1 | 4 | yes | — |
| 139 | C22×H(5,𝔽2) | C22×D4 | 1 | 2 | yes | — |
| 140 | C22×H(5,𝔽2) | C22×D4 | 1 | 2 | yes | — |
| 141 | C23×#41 | #120 | 1 | 1 | yes | characteristic |
| 142 | C23×#41 | #121 | 1 | 4 | yes | — |
| 143 | C23×#41 | C22×D4 | 1 | 2 | yes | — |
| 144 | C24×D4 | #120 | 1 | 2 | yes | — |
| 145 | C24×D4 | #120 | 1 | 4 | yes | — |
| 146 | #3549 | H(5,𝔽2) | 1 | 8 | yes | — |
| 147 | #3481 | H(5,𝔽2) | 1 | 8 | yes | — |
| 148 | C2×#559 | C22×D4 | 1 | 2 | yes | — |
| 149 | C2×D42 | C22×D4 | 1 | 4 | yes | — |
| 150 | C2×D42 | C22×D4 | 1 | 2 | yes | — |
| 151 | C2×#535 | #120 | 1 | 2 | yes | — |
| 152 | C2×#535 | #120 | 1 | 2 | yes | — |
| 153 | C2×#535 | #120 | 1 | 4 | yes | — |
| 154 | C2×#535 | #120 | 1 | 4 | yes | — |
| 155 | C2×#535 | #120 | 1 | 4 | yes | — |
| 156 | C2×#535 | #121 | 1 | 4 | yes | — |
| 157 | C2×#535 | #121 | 1 | 4 | yes | — |
| 158 | C2×#535 | #121 | 1 | 4 | yes | — |
| 159 | C2×#535 | #127 | 1 | 4 | yes | — |
| 160 | C2×#535 | #127 | 1 | 4 | yes | — |
| 161 | C2×#535 | C22×D4 | 1 | 2 | yes | — |
| 162 | C2×#535 | C22×D4 | 1 | 2 | yes | — |
| 163 | C2×#535 | C22×D4 | 1 | 4 | yes | — |
| 164 | C2×#535 | C22×D4 | 1 | 4 | yes | — |
| 165 | C2×#532 | #121 | 1 | 4 | yes | — |
| 166 | C2×#532 | #121 | 1 | 4 | yes | — |
| 167 | C2×#532 | #121 | 1 | 4 | yes | — |
| 168 | C2×#532 | C22×D4 | 1 | 1 | yes | characteristic |
| 169 | C2×#532 | C22×D4 | 1 | 2 | yes | — |
| 170 | C2×#532 | C22×D4 | 1 | 1 | yes | characteristic |
| 171 | C2×#532 | C22×D4 | 1 | 2 | yes | — |
| 172 | C2×#532 | C2×#41 | 1 | 1 | yes | characteristic |
| 173 | C2×#532 | C2×#41 | 1 | 4 | yes | — |
| 174 | C2×#532 | C25 | 1 | 1 | yes | characteristic |
| 175 | C22×C4⋊Q8 | C2×#41 | 1 | 1 | yes | characteristic |
| 176 | C22×#127 | #120 | 1 | 4 | yes | — |
| 177 | C22×#127 | #120 | 1 | 4 | yes | — |
| 178 | C22×#127 | #120 | 1 | 4 | yes | — |
| 179 | C22×#127 | #120 | 1 | 1 | yes | characteristic |
| 180 | C22×#127 | #120 | 1 | 1 | yes | characteristic |
| 181 | C22×#127 | #121 | 1 | 4 | yes | — |
| 182 | C22×#127 | #121 | 1 | 2 | yes | — |
| 183 | C22×#127 | #121 | 1 | 2 | yes | — |
| 184 | C22×#127 | #127 | 1 | 2 | yes | — |
| 185 | C22×#127 | #127 | 1 | 2 | yes | — |
| 186 | C22×#127 | C22×D4 | 1 | 4 | yes | — |
| 187 | C22×#127 | C22×D4 | 1 | 1 | yes | characteristic |
| 188 | C22×#127 | C22×D4 | 1 | 2 | yes | — |
| 189 | C22×#124 | #121 | 1 | 4 | yes | — |
| 190 | C22×#124 | C22×D4 | 1 | 2 | yes | — |
| 191 | #3428 | C22×D4 | 1 | 4 | yes | — |
| 192 | C2×C4×#41 | #120 | 1 | 2 | yes | — |
| 193 | C2×C4×#41 | #121 | 1 | 2 | yes | — |
| 194 | C2×C4×#41 | #127 | 1 | 2 | yes | — |
| 195 | C2×C4×#41 | C22×D4 | 1 | 2 | yes | — |
| 196 | C22×#117 | #120 | 1 | 1 | yes | characteristic |
| 197 | C22×#117 | #127 | 1 | 2 | yes | — |
| 198 | C23×C42 | #121 | 1 | 2 | yes | — |
| 199 | C23×C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 200 | C2×#423 | C22×D4 | 1 | 4 | yes | — |
| 201 | C2×#413 | C22×D4 | 1 | 4 | yes | — |
| 202 | C2×#413 | C22×D4 | 1 | 4 | yes | — |
| 203 | C4×#117 | C22×D4 | 1 | 4 | yes | — |
| 204 | C2×#354 | C22×D4 | 1 | 16 | yes | — |
| 205 | C22×#41 | #392 | 1 | 2 | yes | — |
| 206 | C22×#41 | #392 | 1 | 4 | yes | — |
| 207 | C22×#41 | #392 | 1 | 4 | yes | — |
| 208 | C22×#41 | B(4,𝔽2) | 1 | 2 | yes | — |
| 209 | C22×#41 | B(4,𝔽2) | 1 | 2 | yes | — |
| 210 | C22×#41 | C2×#120 | 1 | 2 | yes | — |
| 211 | C22×#41 | C2×#120 | 1 | 2 | yes | — |
| 212 | C22×#41 | C2×#120 | 1 | 2 | yes | — |
| 213 | C22×#41 | C2×#121 | 1 | 4 | yes | — |
| 214 | C22×#41 | C2×#121 | 1 | 4 | yes | — |
| 215 | C22×#41 | C2×#121 | 1 | 2 | yes | — |
| 216 | C22×#41 | C23×D4 | 1 | 2 | yes | — |
| 217 | C23×Q8 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 218 | C23×Q8 | C2×#121 | 1 | 2 | yes | — |
| 219 | C23×D4 | #392 | 1 | 4 | yes | — |
| 220 | C23×D4 | #392 | 1 | 4 | yes | — |
| 221 | C23×D4 | #392 | 1 | 4 | yes | — |
| 222 | C23×D4 | #392 | 1 | 4 | yes | — |
| 223 | C23×D4 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 224 | C23×D4 | B(4,𝔽2) | 1 | 2 | yes | — |
| 225 | C23×D4 | C2×#120 | 1 | 2 | yes | — |
| 226 | C23×D4 | C2×#120 | 1 | 4 | yes | — |
| 227 | C23×D4 | C2×#120 | 1 | 4 | yes | — |
| 228 | C23×D4 | C2×#120 | 1 | 2 | yes | — |
| 229 | C23×D4 | C2×#120 | 1 | 2 | yes | — |
| 230 | C24×C4 | #392 | 1 | 2 | yes | — |
| 231 | C24×C4 | C2×#120 | 1 | 1 | yes | characteristic |
| 232 | #559 | #534 | 1 | 4 | yes | — |
| 233 | D42 | #534 | 1 | 4 | yes | — |
| 234 | D42 | #534 | 1 | 8 | yes | — |
| 235 | #532 | C2×H(5,𝔽2) | 1 | 4 | yes | — |
| 236 | #532 | C2×H(5,𝔽2) | 1 | 4 | yes | — |
| 237 | C2×C4⋊Q8 | C2×#121 | 1 | 2 | yes | — |
| 238 | C2×C4⋊Q8 | C2×#121 | 1 | 1 | yes | characteristic |
| 239 | C2×C4⋊Q8 | C22×#41 | 1 | 1 | yes | characteristic |
| 240 | C2×#127 | #392 | 1 | 2 | yes | — |
| 241 | C2×#127 | #392 | 1 | 2 | yes | — |
| 242 | C2×#127 | #392 | 1 | 2 | yes | — |
| 243 | C2×#127 | #392 | 1 | 4 | yes | — |
| 244 | C2×#127 | #392 | 1 | 4 | yes | — |
| 245 | C2×#127 | #392 | 1 | 2 | yes | — |
| 246 | C2×#127 | B(4,𝔽2) | 1 | 8 | yes | — |
| 247 | C2×#127 | C2×#120 | 1 | 2 | yes | — |
| 248 | C2×#127 | C2×#120 | 1 | 4 | yes | — |
| 249 | C2×#127 | C2×#120 | 1 | 4 | yes | — |
| 250 | C2×#127 | C2×#121 | 1 | 1 | yes | characteristic |
| 251 | C2×#127 | C2×#121 | 1 | 4 | yes | — |
| 252 | C2×#127 | C2×#127 | 1 | 4 | yes | — |
| 253 | C2×#127 | C23×D4 | 1 | 1 | yes | characteristic |
| 254 | C2×#124 | #392 | 1 | 4 | yes | — |
| 255 | C2×#124 | #392 | 1 | 4 | yes | — |
| 256 | C2×#124 | C2×#120 | 1 | 2 | yes | — |
| 257 | C2×#124 | C2×#121 | 1 | 4 | yes | — |
| 258 | C2×#124 | C2×#121 | 1 | 4 | yes | — |
| 259 | C2×#124 | C2×#121 | 1 | 2 | yes | — |
| 260 | C2×#124 | C2×#127 | 1 | 2 | yes | — |
| 261 | C2×#124 | C23×D4 | 1 | 2 | yes | — |
| 262 | C2×#117 | #392 | 1 | 2 | yes | — |
| 263 | C2×#117 | #392 | 1 | 4 | yes | — |
| 264 | C2×#117 | C2×#120 | 1 | 2 | yes | — |
| 265 | C2×#117 | C2×#127 | 1 | 4 | yes | — |
| 266 | C22×C42 | #392 | 1 | 2 | yes | — |
| 267 | C22×C42 | #392 | 1 | 4 | yes | — |
| 268 | C22×C42 | C2×#120 | 1 | 1 | yes | characteristic |
| 269 | C22×C42 | C2×#121 | 1 | 1 | yes | characteristic |
| 270 | C22×C42 | C2×#121 | 1 | 4 | yes | — |
| 271 | C22×C42 | C2×#121 | 1 | 1 | yes | characteristic |
| 272 | C22×C42 | C2×#127 | 1 | 1 | yes | characteristic |
| 273 | C22×C42 | C2×#127 | 1 | 1 | yes | characteristic |
| 274 | C22×C42 | C23×D4 | 1 | 1 | yes | characteristic |
| 275 | C25 | #2021 | 1 | 2 | yes | — |
| 276 | C25 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 277 | C2×#41 | #3484 | 1 | 8 | yes | — |
| 278 | C22×Q8 | #2021 | 1 | 2 | yes | — |
| 279 | C22×Q8 | C2×#392 | 1 | 2 | yes | — |
| 280 | C22×Q8 | C2×B(4,𝔽2) | 1 | 2 | yes | — |
| 281 | C22×Q8 | C22×#121 | 1 | 2 | yes | — |
| 282 | C22×D4 | #2021 | 1 | 2 | yes | — |
| 283 | C22×D4 | #2021 | 1 | 4 | yes | — |
| 284 | C22×D4 | C2×#392 | 1 | 2 | yes | — |
| 285 | C22×D4 | C2×#392 | 1 | 4 | yes | — |
| 286 | C22×D4 | C2×#392 | 1 | 4 | yes | — |
| 287 | C22×D4 | C2×B(4,𝔽2) | 1 | 4 | yes | — |
| 288 | C22×D4 | C2×B(4,𝔽2) | 1 | 8 | yes | — |
| 289 | C22×D4 | C2×B(4,𝔽2) | 1 | 2 | yes | — |
| 290 | C22×D4 | C22×#120 | 1 | 2 | yes | — |
| 291 | C23×C4 | #2021 | 1 | 2 | yes | — |
| 292 | C23×C4 | #2021 | 1 | 4 | yes | — |
| 293 | C23×C4 | C2×#392 | 1 | 4 | yes | — |
| 294 | C23×C4 | C2×#392 | 1 | 1 | yes | characteristic |
| 295 | C23×C4 | C2×#392 | 1 | 1 | yes | characteristic |
| 296 | C23×C4 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 297 | C23×C4 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 298 | C23×C4 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 299 | C23×C4 | C22×#120 | 1 | 1 | yes | characteristic |
| 300 | C4⋊Q8 | #3490 | 1 | 2 | yes | — |
| 301 | C4⋊Q8 | #3490 | 1 | 2 | yes | — |
| 302 | #127 | #2021 | 1 | 8 | yes | — |
| 303 | #127 | #2021 | 1 | 8 | yes | — |
| 304 | #127 | C2×#534 | 1 | 2 | yes | — |
| 305 | #127 | C2×#534 | 1 | 2 | yes | — |
| 306 | #124 | #3484 | 1 | 8 | yes | — |
| 307 | C2×C42 | C2×#392 | 1 | 1 | yes | characteristic |
| 308 | C2×C42 | C2×#392 | 1 | 1 | yes | characteristic |
| 309 | C2×C42 | C2×#392 | 1 | 4 | yes | — |
| 310 | C2×C42 | C2×B(4,𝔽2) | 1 | 4 | yes | — |
| 311 | C2×C42 | C22×#121 | 1 | 1 | yes | characteristic |
| 312 | C2×C42 | C22×#127 | 1 | 1 | yes | characteristic |
| 313 | C2×C42 | #3484 | 1 | 2 | yes | — |
| 314 | C2×C42 | #3484 | 1 | 2 | yes | — |
| 315 | C24 | C2×#2021 | 1 | 1 | yes | characteristic |
| 316 | C24 | C2×#2021 | 1 | 1 | yes | characteristic |
| 317 | C24 | C2×#2021 | 1 | 4 | yes | — |
| 318 | C24 | C22×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 319 | C2×Q8 | #35348 | 1 | 4 | yes | — |
| 320 | C2×D4 | C2×#2021 | 1 | 8 | yes | — |
| 321 | C2×D4 | #33551 | 1 | 8 | yes | — |
| 322 | C2×D4 | #34980 | 1 | 4 | yes | — |
| 323 | C22×C4 | C2×#2021 | 1 | 1 | yes | characteristic |
| 324 | C22×C4 | C2×#2021 | 1 | 1 | yes | characteristic |
| 325 | C22×C4 | C2×#2021 | 1 | 4 | yes | — |
| 326 | C22×C4 | C22×#392 | 1 | 1 | yes | characteristic |
| 327 | C22×C4 | #35346 | 1 | 2 | yes | — |
| 328 | C22×C4 | C22×B(4,𝔽2) | 1 | 2 | yes | — |
| 329 | C22×C4 | C22×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 330 | C42 | C2×#2021 | 1 | 2 | yes | — |
| 331 | C42 | C2×#2021 | 1 | 2 | yes | — |
| 332 | C42 | #34981 | 1 | 1 | yes | characteristic |
| 333 | C42 | #34981 | 1 | 1 | yes | characteristic |
| 334 | C42 | #35390 | 1 | 2 | yes | — |
| 335 | C23 | #498886 | 1 | 8 | yes | — |
| 336 | C23 | C22×#2021 | 1 | 1 | yes | characteristic |
| 337 | C23 | #6499867 | 1 | 2 | yes | — |
| 338 | C2×C4 | #5955303 | 1 | 1 | yes | characteristic |
| 339 | C2×C4 | C22×#2021 | 1 | 1 | yes | characteristic |
| 340 | C2×C4 | #6499867 | 1 | 2 | yes | — |
| 341 | C2×C4 | C2×#33551 | 1 | 4 | yes | — |
| 342 | C22 | #72217699 | 1 | 1 | yes | characteristic |
| 343 | C22 | C2×#498886 | 1 | 2 | yes | — |
| 344 | C4 | #72233499 | 1 | 4 | yes | — |
| 345 | C2 | #72338284 | 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