← #72311951
Subgroups — #72311951
Order 2048.
Only the 38740 normal subgroups are shown; non-normal subgroups are omitted.
The subgroup lattice has 546 nodes (normal subgroups only) — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #72311918 | C2 | 1 | 4 | yes | maximal, complemented |
| 2 | #72311903 | C2 | 1 | 48 | yes | maximal, complemented |
| 3 | #72267322 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #72236483 | C2 | 1 | 8 | yes | maximal, complemented |
| 5 | #72235803 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #72232884 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C2×#7630939 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | C2×#6499867 | C2 | 1 | 8 | yes | maximal, complemented |
| 9 | #72216616 | C2 | 1 | 48 | yes | maximal, complemented |
| 10 | C26×D4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 11 | #10586476 | C22 | 1 | 24 | yes | complemented |
| 12 | #10586472 | C22 | 1 | 24 | yes | complemented |
| 13 | #10586169 | C22 | 1 | 4 | yes | complemented |
| 14 | C2×#62817 | C22 | 1 | 8 | yes | complemented |
| 15 | C22×#3484 | C22 | 1 | 3 | yes | — |
| 16 | C2×#36614 | C22 | 1 | 6 | yes | complemented |
| 17 | C22×#2846 | C22 | 1 | 12 | yes | complemented |
| 18 | #7630939 | C22 | 1 | 96 | yes | complemented |
| 19 | C2×#36152 | C22 | 1 | 24 | yes | complemented |
| 20 | C2×D4×#120 | C22 | 1 | 24 | yes | complemented |
| 21 | C2×#35222 | C22 | 1 | 6 | yes | complemented |
| 22 | C2×#34980 | C22 | 1 | 12 | yes | complemented |
| 23 | C2×#34171 | C22 | 1 | 3 | yes | complemented |
| 24 | #6595772 | C22 | 1 | 384 | yes | complemented |
| 25 | D4×B(4,𝔽2) | C22 | 1 | 128 | yes | complemented |
| 26 | #6571611 | C22 | 1 | 128 | yes | complemented |
| 27 | #6533135 | C22 | 1 | 384 | yes | complemented |
| 28 | #6532600 | C22 | 1 | 48 | yes | complemented |
| 29 | #6529155 | C22 | 1 | 48 | yes | complemented |
| 30 | #6516837 | C22 | 1 | 48 | yes | complemented |
| 31 | #6512843 | C22 | 1 | 48 | yes | complemented |
| 32 | #6508692 | C22 | 1 | 16 | yes | complemented |
| 33 | #6500010 | C22 | 1 | 192 | yes | complemented |
| 34 | #6499867 | C22 | 1 | 16 | yes | complemented |
| 35 | #6499867 | C22 | 1 | 32 | yes | complemented |
| 36 | #6499867 | C22 | 1 | 192 | yes | complemented |
| 37 | #6491100 | C22 | 1 | 96 | yes | complemented |
| 38 | #6477580 | C22 | 1 | 96 | yes | complemented |
| 39 | #6470225 | C22 | 1 | 96 | yes | complemented |
| 40 | #6454041 | C22 | 1 | 96 | yes | complemented |
| 41 | C2×#23984 | C22 | 1 | 96 | yes | complemented |
| 42 | C2×#23900 | C22 | 1 | 96 | yes | complemented |
| 43 | #6393523 | C22 | 1 | 96 | yes | complemented |
| 44 | #6386107 | C22 | 1 | 24 | yes | complemented |
| 45 | #6385971 | C22 | 1 | 24 | yes | complemented |
| 46 | #6374576 | C22 | 1 | 12 | yes | complemented |
| 47 | C2×#21746 | C22 | 1 | 24 | yes | complemented |
| 48 | C28 | C23 | 1 | 2 | yes | complemented |
| 49 | C23×H(5,𝔽2) | D4 | 1 | 3 | yes | complemented |
| 50 | C25×D4 | C23 | 1 | 1 | yes | characteristic |
| 51 | C25×D4 | C23 | 1 | 24 | yes | complemented |
| 52 | C25×D4 | C23 | 1 | 2 | yes | complemented |
| 53 | C25×D4 | C23 | 1 | 1 | yes | characteristic, complemented |
| 54 | C26×C4 | C23 | 1 | 1 | yes | characteristic, complemented |
| 55 | #62983 | C23 | 1 | 96 | yes | complemented |
| 56 | D4×H(5,𝔽2) | C23 | 1 | 32 | yes | complemented |
| 57 | #62894 | C23 | 1 | 32 | yes | complemented |
| 58 | #62892 | C23 | 1 | 96 | yes | complemented |
| 59 | #62819 | C23 | 1 | 24 | yes | complemented |
| 60 | #62818 | C23 | 1 | 24 | yes | complemented |
| 61 | #62817 | C23 | 1 | 16 | yes | — |
| 62 | #62817 | C23 | 1 | 96 | yes | complemented |
| 63 | #62773 | C23 | 1 | 48 | yes | complemented |
| 64 | C2×#3490 | C23 | 1 | 48 | yes | complemented |
| 65 | C2×#3484 | D4 | 1 | 48 | yes | complemented |
| 66 | C2×#3484 | C23 | 1 | 48 | yes | — |
| 67 | C2×#3484 | C23 | 1 | 48 | yes | complemented |
| 68 | C22×#546 | D4 | 1 | 12 | yes | complemented |
| 69 | C22×#546 | C23 | 1 | 12 | yes | — |
| 70 | C22×D42 | D4 | 1 | 12 | yes | complemented |
| 71 | C22×D42 | C23 | 1 | 12 | yes | — |
| 72 | C22×#535 | D4 | 1 | 6 | yes | complemented |
| 73 | C22×#534 | D4 | 1 | 12 | yes | complemented |
| 74 | C22×#525 | C23 | 1 | 6 | yes | — |
| 75 | C23×#120 | C23 | 1 | 12 | yes | — |
| 76 | C23×#120 | C23 | 1 | 24 | yes | complemented |
| 77 | C22×#518 | D4 | 1 | 3 | yes | complemented |
| 78 | C22×B(4,𝔽2) | C23 | 1 | 64 | yes | complemented |
| 79 | #36614 | C23 | 1 | 96 | yes | complemented |
| 80 | C2×#2849 | C23 | 1 | 12 | yes | complemented |
| 81 | C2×#2848 | C23 | 1 | 12 | yes | complemented |
| 82 | C2×#2847 | C23 | 1 | 12 | yes | complemented |
| 83 | C2×#2846 | C23 | 1 | 24 | yes | complemented |
| 84 | C2×#2846 | C23 | 1 | 48 | yes | complemented |
| 85 | C2×#2846 | C23 | 1 | 12 | yes | complemented |
| 86 | C2×#2846 | C23 | 1 | 192 | yes | complemented |
| 87 | #36152 | C23 | 1 | 384 | yes | complemented |
| 88 | D4×#120 | C23 | 1 | 384 | yes | complemented |
| 89 | #35222 | C23 | 1 | 96 | yes | complemented |
| 90 | #34980 | C23 | 1 | 192 | yes | complemented |
| 91 | C2×#2435 | C23 | 1 | 12 | yes | complemented |
| 92 | C2×#2433 | C23 | 1 | 12 | yes | complemented |
| 93 | C2×#2408 | C23 | 1 | 24 | yes | complemented |
| 94 | C2×#2405 | C23 | 1 | 24 | yes | complemented |
| 95 | C2×#2410 | C23 | 1 | 48 | yes | complemented |
| 96 | C2×#2403 | C23 | 1 | 24 | yes | complemented |
| 97 | #34171 | C23 | 1 | 48 | yes | complemented |
| 98 | C2×D4×C22⋊C4 | C23 | 1 | 24 | yes | complemented |
| 99 | C2×C4×#120 | C23 | 1 | 24 | yes | complemented |
| 100 | C2×#2280 | C23 | 1 | 6 | yes | complemented |
| 101 | C22×#379 | C23 | 1 | 12 | yes | complemented |
| 102 | C22×#379 | C23 | 1 | 24 | yes | complemented |
| 103 | #33020 | C23 | 1 | 192 | yes | complemented |
| 104 | #32926 | C23 | 1 | 128 | yes | complemented |
| 105 | #32898 | C23 | 1 | 64 | yes | complemented |
| 106 | #29684 | C23 | 1 | 128 | yes | complemented |
| 107 | #29656 | C23 | 1 | 64 | yes | complemented |
| 108 | #29634 | C23 | 1 | 192 | yes | complemented |
| 109 | #25947 | C23 | 1 | 192 | yes | complemented |
| 110 | #25771 | C23 | 1 | 192 | yes | complemented |
| 111 | #25585 | C23 | 1 | 384 | yes | complemented |
| 112 | #25563 | C23 | 1 | 768 | yes | complemented |
| 113 | #24404 | C23 | 1 | 768 | yes | complemented |
| 114 | #24350 | C23 | 1 | 192 | yes | complemented |
| 115 | #24260 | C23 | 1 | 192 | yes | complemented |
| 116 | #24140 | C23 | 1 | 384 | yes | complemented |
| 117 | #24112 | C23 | 1 | 192 | yes | complemented |
| 118 | #24056 | C23 | 1 | 192 | yes | complemented |
| 119 | #23984 | C23 | 1 | 192 | yes | complemented |
| 120 | #23984 | C23 | 1 | 384 | yes | complemented |
| 121 | #23984 | C23 | 1 | 768 | yes | complemented |
| 122 | #23900 | C23 | 1 | 192 | yes | complemented |
| 123 | #23900 | C23 | 1 | 768 | yes | complemented |
| 124 | #23900 | C23 | 1 | 384 | yes | complemented |
| 125 | #23595 | C23 | 1 | 128 | yes | complemented |
| 126 | C2×#2029 | C23 | 1 | 64 | yes | complemented |
| 127 | C2×#2021 | C23 | 1 | 192 | yes | complemented |
| 128 | #22476 | C23 | 1 | 384 | yes | complemented |
| 129 | D4×#99 | C23 | 1 | 384 | yes | complemented |
| 130 | #21874 | C23 | 1 | 96 | yes | complemented |
| 131 | #21825 | C23 | 1 | 24 | yes | complemented |
| 132 | #21793 | C23 | 1 | 24 | yes | complemented |
| 133 | #21746 | C23 | 1 | 48 | yes | complemented |
| 134 | #21746 | C23 | 1 | 96 | yes | complemented |
| 135 | #21746 | C23 | 1 | 192 | yes | complemented |
| 136 | C4×B(4,𝔽2) | C23 | 1 | 128 | yes | complemented |
| 137 | #21420 | C23 | 1 | 96 | yes | complemented |
| 138 | C2×#1898 | C23 | 1 | 192 | yes | complemented |
| 139 | C2×#1889 | C23 | 1 | 192 | yes | complemented |
| 140 | #20722 | C23 | 1 | 48 | yes | complemented |
| 141 | C2×#1819 | C23 | 1 | 48 | yes | complemented |
| 142 | C2×#1781 | C23 | 1 | 48 | yes | complemented |
| 143 | C27 | C24 | 1 | 2 | yes | — |
| 144 | C27 | C24 | 1 | 1 | yes | characteristic |
| 145 | C27 | C24 | 1 | 2 | yes | — |
| 146 | C27 | C24 | 1 | 24 | yes | — |
| 147 | C22×H(5,𝔽2) | C2×D4 | 1 | 48 | yes | complemented |
| 148 | C22×H(5,𝔽2) | C24 | 1 | 16 | yes | complemented |
| 149 | C23×#41 | C2×D4 | 1 | 6 | yes | complemented |
| 150 | C23×#41 | C2×D4 | 1 | 12 | yes | complemented |
| 151 | C24×D4 | C2×D4 | 1 | 24 | yes | — |
| 152 | C24×D4 | C2×D4 | 1 | 3 | yes | — |
| 153 | C24×D4 | C2×D4 | 1 | 6 | yes | — |
| 154 | C24×D4 | C2×D4 | 1 | 3 | yes | — |
| 155 | C24×D4 | C2×D4 | 1 | 12 | yes | — |
| 156 | C24×D4 | C2×D4 | 1 | 12 | yes | complemented |
| 157 | C24×D4 | C2×D4 | 1 | 12 | yes | complemented |
| 158 | C24×D4 | C2×D4 | 1 | 12 | yes | complemented |
| 159 | C24×D4 | C24 | 1 | 12 | yes | — |
| 160 | C24×D4 | C24 | 1 | 12 | yes | — |
| 161 | C24×D4 | C24 | 1 | 64 | yes | — |
| 162 | C24×D4 | C24 | 1 | 24 | yes | — |
| 163 | C24×D4 | C24 | 1 | 12 | yes | — |
| 164 | C25×C4 | C24 | 1 | 1 | yes | characteristic |
| 165 | C25×C4 | C24 | 1 | 12 | yes | — |
| 166 | C25×C4 | C24 | 1 | 1 | yes | characteristic |
| 167 | #3505 | C24 | 1 | 96 | yes | complemented |
| 168 | #3501 | C24 | 1 | 48 | yes | complemented |
| 169 | #3496 | C24 | 1 | 48 | yes | complemented |
| 170 | #3490 | C24 | 1 | 96 | yes | — |
| 171 | #3490 | C24 | 1 | 192 | yes | complemented |
| 172 | #3484 | C24 | 1 | 96 | yes | — |
| 173 | #3484 | C24 | 1 | 192 | yes | complemented |
| 174 | C2×#546 | C2×D4 | 1 | 96 | yes | complemented |
| 175 | C2×#546 | C2×D4 | 1 | 192 | yes | complemented |
| 176 | C2×#546 | C24 | 1 | 96 | yes | — |
| 177 | C2×D42 | C2×D4 | 1 | 96 | yes | complemented |
| 178 | C2×D42 | C2×D4 | 1 | 192 | yes | complemented |
| 179 | C2×D42 | C24 | 1 | 96 | yes | — |
| 180 | #3459 | C24 | 1 | 32 | yes | complemented |
| 181 | C2×#543 | C24 | 1 | 16 | yes | complemented |
| 182 | C2×#535 | C2×D4 | 1 | 96 | yes | complemented |
| 183 | C2×#534 | C2×D4 | 1 | 192 | yes | complemented |
| 184 | C2×#534 | C24 | 1 | 48 | yes | complemented |
| 185 | C22×#127 | C2×D4 | 1 | 12 | yes | complemented |
| 186 | C22×#124 | C2×D4 | 1 | 12 | yes | complemented |
| 187 | C2×#525 | C2×D4 | 1 | 48 | yes | complemented |
| 188 | C2×#525 | C24 | 1 | 48 | yes | — |
| 189 | C22×#123 | C2×D4 | 1 | 12 | yes | complemented |
| 190 | C22×#123 | C2×D4 | 1 | 24 | yes | complemented |
| 191 | C22×C22⋊Q8 | C2×D4 | 1 | 6 | yes | complemented |
| 192 | C22×C22⋊Q8 | C24 | 1 | 6 | yes | — |
| 193 | C22×#121 | C2×D4 | 1 | 6 | yes | complemented |
| 194 | C22×#121 | C2×D4 | 1 | 24 | yes | complemented |
| 195 | C22×#121 | C2×D4 | 1 | 24 | yes | complemented |
| 196 | C22×#121 | C2×D4 | 1 | 12 | yes | complemented |
| 197 | C22×#121 | C2×D4 | 1 | 12 | yes | complemented |
| 198 | C22×#121 | C24 | 1 | 6 | yes | — |
| 199 | C22×#120 | C2×D4 | 1 | 24 | yes | complemented |
| 200 | C22×#120 | C2×D4 | 1 | 24 | yes | complemented |
| 201 | C22×#120 | C2×D4 | 1 | 96 | yes | complemented |
| 202 | C22×#120 | C2×D4 | 1 | 24 | yes | complemented |
| 203 | C22×#120 | C24 | 1 | 12 | yes | — |
| 204 | C22×#120 | C24 | 1 | 96 | yes | — |
| 205 | C22×#120 | C24 | 1 | 24 | yes | — |
| 206 | C22×#120 | C24 | 1 | 24 | yes | — |
| 207 | C22×#120 | C24 | 1 | 48 | yes | — |
| 208 | C22×#120 | C24 | 1 | 192 | yes | — |
| 209 | C4×H(5,𝔽2) | C24 | 1 | 32 | yes | complemented |
| 210 | C2×#518 | C2×D4 | 1 | 48 | yes | complemented |
| 211 | C2×#518 | C24 | 1 | 48 | yes | complemented |
| 212 | C22×C4×D4 | C2×D4 | 1 | 12 | yes | complemented |
| 213 | C22×C4×D4 | C2×D4 | 1 | 12 | yes | complemented |
| 214 | C22×C4×D4 | C2×D4 | 1 | 12 | yes | complemented |
| 215 | C22×C4×D4 | C24 | 1 | 12 | yes | — |
| 216 | C22×#117 | C2×D4 | 1 | 6 | yes | complemented |
| 217 | C23×C22⋊C4 | C2×D4 | 1 | 12 | yes | complemented |
| 218 | C23×C22⋊C4 | C2×D4 | 1 | 12 | yes | complemented |
| 219 | C23×C22⋊C4 | C24 | 1 | 12 | yes | — |
| 220 | C23×C22⋊C4 | C24 | 1 | 24 | yes | — |
| 221 | C2×B(4,𝔽2) | C24 | 1 | 128 | yes | — |
| 222 | C2×B(4,𝔽2) | C24 | 1 | 256 | yes | complemented |
| 223 | C22×#99 | C24 | 1 | 192 | yes | complemented |
| 224 | #2849 | C24 | 1 | 96 | yes | — |
| 225 | #2848 | C24 | 1 | 96 | yes | — |
| 226 | #2847 | C24 | 1 | 96 | yes | — |
| 227 | #2846 | C24 | 1 | 96 | yes | — |
| 228 | #2846 | C24 | 1 | 384 | yes | — |
| 229 | #2846 | C24 | 1 | 192 | yes | — |
| 230 | #2435 | C24 | 1 | 96 | yes | — |
| 231 | #2433 | C24 | 1 | 96 | yes | — |
| 232 | #2410 | C24 | 1 | 384 | yes | — |
| 233 | #2408 | C24 | 1 | 192 | yes | — |
| 234 | #2405 | C24 | 1 | 192 | yes | — |
| 235 | #2403 | C24 | 1 | 192 | yes | — |
| 236 | D4×C22⋊C4 | C24 | 1 | 192 | yes | — |
| 237 | C4×#120 | C24 | 1 | 192 | yes | — |
| 238 | C2×#386 | C24 | 1 | 24 | yes | — |
| 239 | C2×#385 | C24 | 1 | 24 | yes | — |
| 240 | #2280 | C24 | 1 | 48 | yes | — |
| 241 | C2×#380 | C24 | 1 | 12 | yes | — |
| 242 | C2×#379 | C24 | 1 | 24 | yes | — |
| 243 | C2×#379 | C24 | 1 | 12 | yes | — |
| 244 | C2×#379 | C24 | 1 | 24 | yes | — |
| 245 | C2×#379 | C24 | 1 | 192 | yes | — |
| 246 | C2×#379 | C24 | 1 | 48 | yes | — |
| 247 | C2×#379 | C24 | 1 | 96 | yes | — |
| 248 | C2×C4×C22⋊C4 | C24 | 1 | 12 | yes | — |
| 249 | #2062 | C24 | 1 | 128 | yes | complemented |
| 250 | #2044 | C24 | 1 | 384 | yes | complemented |
| 251 | #2029 | C24 | 1 | 128 | yes | — |
| 252 | #2029 | C24 | 1 | 256 | yes | complemented |
| 253 | #2021 | C24 | 1 | 384 | yes | — |
| 254 | #2021 | C24 | 1 | 768 | yes | complemented |
| 255 | #1996 | C24 | 1 | 192 | yes | complemented |
| 256 | #1964 | C24 | 1 | 192 | yes | complemented |
| 257 | #1898 | C24 | 1 | 384 | yes | — |
| 258 | #1898 | C24 | 1 | 768 | yes | complemented |
| 259 | #1889 | C24 | 1 | 384 | yes | — |
| 260 | #1889 | C24 | 1 | 768 | yes | complemented |
| 261 | #1867 | C24 | 1 | 384 | yes | complemented |
| 262 | #1819 | C24 | 1 | 96 | yes | — |
| 263 | #1819 | C24 | 1 | 192 | yes | complemented |
| 264 | #1799 | C24 | 1 | 192 | yes | complemented |
| 265 | #1790 | C24 | 1 | 128 | yes | complemented |
| 266 | #1781 | C24 | 1 | 96 | yes | — |
| 267 | #1781 | C24 | 1 | 192 | yes | complemented |
| 268 | C4×#99 | C24 | 1 | 192 | yes | complemented |
| 269 | C2×#342 | C24 | 1 | 192 | yes | complemented |
| 270 | C26 | C22×D4 | 1 | 6 | yes | — |
| 271 | C26 | C22×D4 | 1 | 12 | yes | — |
| 272 | C26 | C22×D4 | 1 | 6 | yes | — |
| 273 | C26 | C22×D4 | 1 | 24 | yes | — |
| 274 | C26 | C22×D4 | 1 | 12 | yes | complemented |
| 275 | C26 | C25 | 1 | 1 | yes | characteristic |
| 276 | C26 | C25 | 1 | 12 | yes | — |
| 277 | C26 | C25 | 1 | 6 | yes | — |
| 278 | C26 | C25 | 1 | 12 | yes | — |
| 279 | C26 | C25 | 1 | 32 | yes | — |
| 280 | C2×H(5,𝔽2) | C25 | 1 | 32 | yes | — |
| 281 | C22×#41 | C22×D4 | 1 | 48 | yes | complemented |
| 282 | C22×#41 | C22×D4 | 1 | 96 | yes | complemented |
| 283 | C23×Q8 | C22×D4 | 1 | 6 | yes | complemented |
| 284 | C23×D4 | #120 | 1 | 1 | yes | characteristic |
| 285 | C23×D4 | #120 | 1 | 3 | yes | — |
| 286 | C23×D4 | #120 | 1 | 12 | yes | — |
| 287 | C23×D4 | #120 | 1 | 24 | yes | — |
| 288 | C23×D4 | #120 | 1 | 32 | yes | — |
| 289 | C23×D4 | #120 | 1 | 24 | yes | — |
| 290 | C23×D4 | #120 | 1 | 12 | yes | — |
| 291 | C23×D4 | #120 | 1 | 48 | yes | — |
| 292 | C23×D4 | #120 | 1 | 48 | yes | — |
| 293 | C23×D4 | #120 | 1 | 24 | yes | — |
| 294 | C23×D4 | #120 | 1 | 6 | yes | — |
| 295 | C23×D4 | #120 | 1 | 16 | yes | — |
| 296 | C23×D4 | #120 | 1 | 6 | yes | — |
| 297 | C23×D4 | C22×D4 | 1 | 12 | yes | — |
| 298 | C23×D4 | C22×D4 | 1 | 24 | yes | — |
| 299 | C23×D4 | C22×D4 | 1 | 24 | yes | — |
| 300 | C23×D4 | C22×D4 | 1 | 12 | yes | — |
| 301 | C23×D4 | C22×D4 | 1 | 48 | yes | — |
| 302 | C23×D4 | C22×D4 | 1 | 24 | yes | — |
| 303 | C23×D4 | C22×D4 | 1 | 48 | yes | — |
| 304 | C23×D4 | C22×D4 | 1 | 96 | yes | — |
| 305 | C23×D4 | C22×D4 | 1 | 12 | yes | — |
| 306 | C23×D4 | C22×D4 | 1 | 12 | yes | — |
| 307 | C23×D4 | C22×D4 | 1 | 24 | yes | complemented |
| 308 | C23×D4 | C22×D4 | 1 | 6 | yes | complemented |
| 309 | C23×D4 | C22×D4 | 1 | 96 | yes | complemented |
| 310 | C23×D4 | C22×D4 | 1 | 96 | yes | complemented |
| 311 | C23×D4 | C22×D4 | 1 | 24 | yes | complemented |
| 312 | C23×D4 | C22×D4 | 1 | 96 | yes | complemented |
| 313 | C23×D4 | C22×D4 | 1 | 24 | yes | complemented |
| 314 | C23×D4 | C22×D4 | 1 | 48 | yes | complemented |
| 315 | C23×D4 | C25 | 1 | 12 | yes | — |
| 316 | C23×D4 | C25 | 1 | 48 | yes | — |
| 317 | C23×D4 | C25 | 1 | 16 | yes | — |
| 318 | C23×D4 | C25 | 1 | 32 | yes | — |
| 319 | C23×D4 | C25 | 1 | 16 | yes | — |
| 320 | C24×C4 | C22×D4 | 1 | 3 | yes | — |
| 321 | C24×C4 | C22×D4 | 1 | 6 | yes | — |
| 322 | C24×C4 | C22×D4 | 1 | 3 | yes | — |
| 323 | C24×C4 | C22×D4 | 1 | 12 | yes | — |
| 324 | C24×C4 | C22×D4 | 1 | 12 | yes | complemented |
| 325 | C24×C4 | C22×D4 | 1 | 12 | yes | complemented |
| 326 | C24×C4 | C22×D4 | 1 | 12 | yes | complemented |
| 327 | C24×C4 | C22×D4 | 1 | 12 | yes | complemented |
| 328 | C24×C4 | C25 | 1 | 6 | yes | — |
| 329 | C24×C4 | C25 | 1 | 16 | yes | — |
| 330 | C24×C4 | C25 | 1 | 6 | yes | — |
| 331 | #543 | C25 | 1 | 32 | yes | — |
| 332 | #534 | C25 | 1 | 96 | yes | — |
| 333 | C2×#127 | C22×D4 | 1 | 96 | yes | complemented |
| 334 | C2×#124 | C22×D4 | 1 | 96 | yes | complemented |
| 335 | C2×#123 | C22×D4 | 1 | 96 | yes | complemented |
| 336 | C2×#123 | C22×D4 | 1 | 192 | yes | complemented |
| 337 | C2×C22⋊Q8 | C22×D4 | 1 | 48 | yes | complemented |
| 338 | C2×C22⋊Q8 | C22×D4 | 1 | 24 | yes | complemented |
| 339 | C2×C22⋊Q8 | C25 | 1 | 24 | yes | — |
| 340 | C2×#121 | C22×D4 | 1 | 48 | yes | complemented |
| 341 | C2×#121 | C22×D4 | 1 | 192 | yes | complemented |
| 342 | C2×#121 | C22×D4 | 1 | 192 | yes | complemented |
| 343 | C2×#121 | C22×D4 | 1 | 96 | yes | complemented |
| 344 | C2×#121 | C22×D4 | 1 | 96 | yes | complemented |
| 345 | C2×#121 | C22×D4 | 1 | 24 | yes | complemented |
| 346 | C2×#121 | C25 | 1 | 24 | yes | — |
| 347 | C2×#120 | C22×D4 | 1 | 48 | yes | — |
| 348 | C2×#120 | C22×D4 | 1 | 192 | yes | complemented |
| 349 | C2×#120 | C22×D4 | 1 | 192 | yes | complemented |
| 350 | C2×#120 | C22×D4 | 1 | 96 | yes | complemented |
| 351 | C2×#120 | C22×D4 | 1 | 192 | yes | complemented |
| 352 | C2×#120 | C25 | 1 | 48 | yes | — |
| 353 | C2×#120 | C25 | 1 | 96 | yes | — |
| 354 | C2×#120 | C25 | 1 | 96 | yes | — |
| 355 | C2×#120 | C25 | 1 | 192 | yes | — |
| 356 | #518 | C25 | 1 | 96 | yes | — |
| 357 | C2×C4×D4 | C22×D4 | 1 | 96 | yes | complemented |
| 358 | C2×C4×D4 | C22×D4 | 1 | 96 | yes | complemented |
| 359 | C2×C4×D4 | C22×D4 | 1 | 96 | yes | complemented |
| 360 | C2×C4×D4 | C22×D4 | 1 | 48 | yes | complemented |
| 361 | C2×C4×D4 | C25 | 1 | 48 | yes | — |
| 362 | C2×#117 | C22×D4 | 1 | 48 | yes | complemented |
| 363 | C22×C4⋊C4 | C22×D4 | 1 | 6 | yes | complemented |
| 364 | C22×C4⋊C4 | C22×D4 | 1 | 6 | yes | complemented |
| 365 | C22×C4⋊C4 | C22×D4 | 1 | 12 | yes | complemented |
| 366 | C22×C4⋊C4 | C22×D4 | 1 | 12 | yes | complemented |
| 367 | C22×C22⋊C4 | C22×D4 | 1 | 12 | yes | — |
| 368 | C22×C22⋊C4 | C22×D4 | 1 | 12 | yes | — |
| 369 | C22×C22⋊C4 | C22×D4 | 1 | 24 | yes | complemented |
| 370 | C22×C22⋊C4 | C22×D4 | 1 | 96 | yes | complemented |
| 371 | C22×C22⋊C4 | C22×D4 | 1 | 24 | yes | complemented |
| 372 | C22×C22⋊C4 | C22×D4 | 1 | 96 | yes | complemented |
| 373 | C22×C22⋊C4 | C22×D4 | 1 | 24 | yes | complemented |
| 374 | C22×C22⋊C4 | C22×D4 | 1 | 48 | yes | complemented |
| 375 | C22×C22⋊C4 | C22×D4 | 1 | 12 | yes | complemented |
| 376 | C22×C22⋊C4 | C22×D4 | 1 | 12 | yes | complemented |
| 377 | C22×C22⋊C4 | C25 | 1 | 12 | yes | — |
| 378 | C22×C22⋊C4 | C25 | 1 | 48 | yes | — |
| 379 | C22×C22⋊C4 | C25 | 1 | 96 | yes | — |
| 380 | C22×C22⋊C4 | C25 | 1 | 24 | yes | — |
| 381 | C22×C42 | C22×D4 | 1 | 12 | yes | complemented |
| 382 | C2×#99 | C25 | 1 | 384 | yes | — |
| 383 | #386 | C25 | 1 | 96 | yes | — |
| 384 | #385 | C25 | 1 | 96 | yes | — |
| 385 | #380 | C25 | 1 | 48 | yes | — |
| 386 | #379 | C25 | 1 | 48 | yes | — |
| 387 | #379 | C25 | 1 | 96 | yes | — |
| 388 | #379 | C25 | 1 | 96 | yes | — |
| 389 | #379 | C25 | 1 | 192 | yes | — |
| 390 | C4×C22⋊C4 | C25 | 1 | 48 | yes | — |
| 391 | #342 | C25 | 1 | 384 | yes | — |
| 392 | C25 | C2×#120 | 1 | 24 | yes | — |
| 393 | C25 | C2×#120 | 1 | 24 | yes | — |
| 394 | C25 | C2×#120 | 1 | 12 | yes | — |
| 395 | C25 | C2×#120 | 1 | 16 | yes | — |
| 396 | C25 | C2×#120 | 1 | 24 | yes | — |
| 397 | C25 | C2×#120 | 1 | 12 | yes | — |
| 398 | C25 | C2×#120 | 1 | 6 | yes | — |
| 399 | C25 | C2×#120 | 1 | 8 | yes | — |
| 400 | C25 | C2×#120 | 1 | 2 | yes | — |
| 401 | C25 | C23×D4 | 1 | 12 | yes | — |
| 402 | C25 | C23×D4 | 1 | 48 | yes | — |
| 403 | C25 | C23×D4 | 1 | 3 | yes | — |
| 404 | C25 | C23×D4 | 1 | 3 | yes | — |
| 405 | C25 | C23×D4 | 1 | 24 | yes | — |
| 406 | C25 | C23×D4 | 1 | 12 | yes | — |
| 407 | C25 | C23×D4 | 1 | 48 | yes | — |
| 408 | C25 | C23×D4 | 1 | 24 | yes | — |
| 409 | C25 | C23×D4 | 1 | 12 | yes | — |
| 410 | C25 | C23×D4 | 1 | 6 | yes | — |
| 411 | C25 | C23×D4 | 1 | 24 | yes | — |
| 412 | C25 | C26 | 1 | 8 | yes | — |
| 413 | C25 | C26 | 1 | 3 | yes | — |
| 414 | C25 | C26 | 1 | 4 | yes | — |
| 415 | C25 | C26 | 1 | 8 | yes | — |
| 416 | C22×Q8 | C23×D4 | 1 | 24 | yes | — |
| 417 | C22×D4 | B(4,𝔽2) | 1 | 16 | yes | complemented |
| 418 | C22×D4 | C2×#120 | 1 | 12 | yes | — |
| 419 | C22×D4 | C2×#120 | 1 | 12 | yes | — |
| 420 | C22×D4 | C2×#120 | 1 | 24 | yes | — |
| 421 | C22×D4 | C2×#120 | 1 | 48 | yes | — |
| 422 | C22×D4 | C2×#120 | 1 | 96 | yes | — |
| 423 | C22×D4 | C2×#120 | 1 | 48 | yes | — |
| 424 | C22×D4 | C2×#120 | 1 | 96 | yes | — |
| 425 | C22×D4 | C2×#120 | 1 | 24 | yes | — |
| 426 | C22×D4 | C2×#120 | 1 | 48 | yes | — |
| 427 | C22×D4 | C2×#120 | 1 | 192 | yes | — |
| 428 | C22×D4 | C2×#120 | 1 | 96 | yes | — |
| 429 | C22×D4 | C2×#120 | 1 | 24 | yes | — |
| 430 | C22×D4 | C2×#120 | 1 | 48 | yes | — |
| 431 | C22×D4 | C23×D4 | 1 | 48 | yes | — |
| 432 | C22×D4 | C23×D4 | 1 | 96 | yes | — |
| 433 | C22×D4 | C23×D4 | 1 | 48 | yes | — |
| 434 | C22×D4 | C23×D4 | 1 | 24 | yes | — |
| 435 | C22×D4 | C23×D4 | 1 | 48 | yes | — |
| 436 | C22×D4 | C23×D4 | 1 | 48 | yes | — |
| 437 | C22×D4 | C23×D4 | 1 | 96 | yes | — |
| 438 | C22×D4 | C23×D4 | 1 | 96 | yes | — |
| 439 | C22×D4 | C23×D4 | 1 | 96 | yes | — |
| 440 | C22×D4 | C23×D4 | 1 | 24 | yes | — |
| 441 | C22×D4 | C26 | 1 | 24 | yes | — |
| 442 | C23×C4 | C2×#120 | 1 | 1 | yes | characteristic |
| 443 | C23×C4 | C2×#120 | 1 | 12 | yes | — |
| 444 | C23×C4 | C2×#120 | 1 | 6 | yes | — |
| 445 | C23×C4 | C2×#120 | 1 | 12 | yes | — |
| 446 | C23×C4 | C2×#120 | 1 | 12 | yes | — |
| 447 | C23×C4 | C2×#120 | 1 | 6 | yes | — |
| 448 | C23×C4 | C2×#120 | 1 | 8 | yes | — |
| 449 | C23×C4 | C2×#120 | 1 | 3 | yes | — |
| 450 | C23×C4 | C2×#120 | 1 | 4 | yes | — |
| 451 | C23×C4 | C23×D4 | 1 | 6 | yes | — |
| 452 | C23×C4 | C23×D4 | 1 | 6 | yes | — |
| 453 | C23×C4 | C23×D4 | 1 | 12 | yes | — |
| 454 | C23×C4 | C23×D4 | 1 | 24 | yes | — |
| 455 | C23×C4 | C23×D4 | 1 | 12 | yes | — |
| 456 | C23×C4 | C23×D4 | 1 | 12 | yes | — |
| 457 | C23×C4 | C23×D4 | 1 | 12 | yes | — |
| 458 | C23×C4 | C23×D4 | 1 | 12 | yes | — |
| 459 | C23×C4 | C23×D4 | 1 | 12 | yes | — |
| 460 | C23×C4 | C23×D4 | 1 | 48 | yes | — |
| 461 | C23×C4 | C23×D4 | 1 | 48 | yes | — |
| 462 | C23×C4 | C23×D4 | 1 | 48 | yes | — |
| 463 | C23×C4 | C23×D4 | 1 | 48 | yes | — |
| 464 | C23×C4 | C26 | 1 | 4 | yes | — |
| 465 | C23×C4 | C26 | 1 | 4 | yes | — |
| 466 | C2×C4⋊C4 | C23×D4 | 1 | 24 | yes | — |
| 467 | C2×C4⋊C4 | C23×D4 | 1 | 24 | yes | — |
| 468 | C2×C4⋊C4 | C23×D4 | 1 | 48 | yes | — |
| 469 | C2×C4⋊C4 | C23×D4 | 1 | 48 | yes | — |
| 470 | C2×C22⋊C4 | C23×D4 | 1 | 48 | yes | — |
| 471 | C2×C22⋊C4 | C23×D4 | 1 | 48 | yes | — |
| 472 | C2×C22⋊C4 | C23×D4 | 1 | 24 | yes | — |
| 473 | C2×C22⋊C4 | C23×D4 | 1 | 96 | yes | — |
| 474 | C2×C22⋊C4 | C23×D4 | 1 | 96 | yes | — |
| 475 | C2×C22⋊C4 | C23×D4 | 1 | 96 | yes | — |
| 476 | C2×C22⋊C4 | C23×D4 | 1 | 48 | yes | — |
| 477 | C2×C22⋊C4 | C23×D4 | 1 | 48 | yes | — |
| 478 | C2×C22⋊C4 | C26 | 1 | 24 | yes | — |
| 479 | C2×C22⋊C4 | C26 | 1 | 48 | yes | — |
| 480 | C2×C42 | C23×D4 | 1 | 48 | yes | — |
| 481 | C24 | C2×B(4,𝔽2) | 1 | 16 | yes | complemented |
| 482 | C24 | C22×#120 | 1 | 6 | yes | — |
| 483 | C24 | C22×#120 | 1 | 3 | yes | — |
| 484 | C24 | C22×#120 | 1 | 3 | yes | — |
| 485 | C24 | C22×#120 | 1 | 2 | yes | — |
| 486 | C24 | C22×#120 | 1 | 24 | yes | — |
| 487 | C24 | C22×#120 | 1 | 12 | yes | — |
| 488 | C24 | C22×#120 | 1 | 24 | yes | — |
| 489 | C24 | C22×#120 | 1 | 48 | yes | — |
| 490 | C24 | C22×#120 | 1 | 24 | yes | — |
| 491 | C24 | C22×#120 | 1 | 48 | yes | — |
| 492 | C24 | C22×#120 | 1 | 1 | yes | characteristic |
| 493 | C24 | C22×#120 | 1 | 12 | yes | — |
| 494 | C24 | C22×#120 | 1 | 1 | yes | characteristic |
| 495 | C24 | C24×D4 | 1 | 24 | yes | — |
| 496 | C24 | C24×D4 | 1 | 6 | yes | — |
| 497 | C24 | C24×D4 | 1 | 6 | yes | — |
| 498 | C24 | C24×D4 | 1 | 3 | yes | — |
| 499 | C24 | C24×D4 | 1 | 24 | yes | — |
| 500 | C24 | C24×D4 | 1 | 24 | yes | — |
| 501 | C24 | C24×D4 | 1 | 3 | yes | — |
| 502 | C24 | H(7,𝔽2) | 1 | 8 | yes | complemented |
| 503 | C24 | C27 | 1 | 1 | yes | characteristic |
| 504 | C2×D4 | C2×B(4,𝔽2) | 1 | 96 | yes | complemented |
| 505 | C2×D4 | C22×#120 | 1 | 16 | yes | — |
| 506 | C2×D4 | C22×#120 | 1 | 48 | yes | — |
| 507 | C2×D4 | C22×#120 | 1 | 96 | yes | — |
| 508 | C2×D4 | C22×#120 | 1 | 96 | yes | — |
| 509 | C22×C4 | C2×B(4,𝔽2) | 1 | 8 | yes | complemented |
| 510 | C22×C4 | C22×#120 | 1 | 6 | yes | — |
| 511 | C22×C4 | C22×#120 | 1 | 12 | yes | — |
| 512 | C22×C4 | C22×#120 | 1 | 24 | yes | — |
| 513 | C22×C4 | C22×#120 | 1 | 12 | yes | — |
| 514 | C22×C4 | C22×#120 | 1 | 6 | yes | — |
| 515 | C22×C4 | C22×#120 | 1 | 12 | yes | — |
| 516 | C22×C4 | C22×#120 | 1 | 24 | yes | — |
| 517 | C22×C4 | C24×D4 | 1 | 12 | yes | — |
| 518 | C22×C4 | C24×D4 | 1 | 12 | yes | — |
| 519 | C22×C4 | C24×D4 | 1 | 24 | yes | — |
| 520 | C22×C4 | C24×D4 | 1 | 24 | yes | — |
| 521 | C22×C4 | C24×D4 | 1 | 24 | yes | — |
| 522 | C23 | C22×B(4,𝔽2) | 1 | 4 | yes | — |
| 523 | C23 | C22×B(4,𝔽2) | 1 | 48 | yes | — |
| 524 | C23 | #60399 | 1 | 4 | yes | — |
| 525 | C23 | C23×#120 | 1 | 3 | yes | — |
| 526 | C23 | C23×#120 | 1 | 8 | yes | — |
| 527 | C23 | C23×#120 | 1 | 3 | yes | — |
| 528 | C23 | C23×#120 | 1 | 6 | yes | — |
| 529 | C23 | C23×#120 | 1 | 24 | yes | — |
| 530 | C23 | C25×D4 | 1 | 3 | yes | — |
| 531 | C23 | C2×H(7,𝔽2) | 1 | 4 | yes | — |
| 532 | D4 | C22×B(4,𝔽2) | 1 | 64 | yes | — |
| 533 | C2×C4 | C22×B(4,𝔽2) | 1 | 24 | yes | — |
| 534 | C2×C4 | C23×#120 | 1 | 4 | yes | — |
| 535 | C2×C4 | C23×#120 | 1 | 12 | yes | — |
| 536 | C22 | C23×B(4,𝔽2) | 1 | 6 | yes | — |
| 537 | C22 | C23×B(4,𝔽2) | 1 | 16 | yes | — |
| 538 | C22 | C2×#60399 | 1 | 6 | yes | — |
| 539 | C22 | C24×#120 | 1 | 1 | yes | characteristic |
| 540 | C22 | #10586066 | 1 | 6 | yes | — |
| 541 | C4 | C23×B(4,𝔽2) | 1 | 8 | yes | — |
| 542 | C2 | C22×#60399 | 1 | 1 | yes | characteristic |
| 543 | C2 | #72240149 | 1 | 1 | yes | characteristic |
| 544 | C2 | C24×B(4,𝔽2) | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|
| 1. #72311918 | C2 | semidirect |
| 2. #72311903 | C2 | semidirect |
| 3. #72267322 | C2 | semidirect |
| 4. #72236483 | C2 | semidirect |
| 5. #72235803 | C2 | semidirect |
| 6. #72232884 | C2 | semidirect |
| 7. C2×#7630939 | C2 | semidirect |
| 8. C2×#6499867 | C2 | semidirect |
| 9. #72216616 | C2 | semidirect |
| 10. C26×D4 | C22 | semidirect |
| 11. #10586476 | C22 | semidirect |
| 12. #10586472 | C22 | semidirect |
| 13. #10586169 | C22 | semidirect |
| 14. C2×#62817 | C22 | semidirect |
| 16. C2×#36614 | C22 | semidirect |
| 17. C22×#2846 | C22 | semidirect |
| 18. #7630939 | C22 | semidirect |
| 19. C2×#36152 | C22 | semidirect |
| 20. C2×D4×#120 | C22 | semidirect |
| 21. C2×#35222 | C22 | semidirect |
| 22. C2×#34980 | C22 | semidirect |
| 23. C2×#34171 | C22 | semidirect |
| 24. #6595772 | C22 | semidirect |
| 25. D4×B(4,𝔽2) | C22 | semidirect |
| 26. #6571611 | C22 | semidirect |
| 27. #6533135 | C22 | semidirect |
| 28. #6532600 | C22 | semidirect |
| 29. #6529155 | C22 | semidirect |
| 30. #6516837 | C22 | semidirect |
| 31. #6512843 | C22 | semidirect |
| 32. #6508692 | C22 | semidirect |
| 33. #6500010 | C22 | semidirect |
| 34. #6499867 | C22 | semidirect |
| 35. #6499867 | C22 | semidirect |
| 36. #6499867 | C22 | semidirect |
| 37. #6491100 | C22 | semidirect |
| 38. #6477580 | C22 | semidirect |
| 39. #6470225 | C22 | semidirect |
| 40. #6454041 | C22 | semidirect |
| 41. C2×#23984 | C22 | semidirect |
| 42. C2×#23900 | C22 | semidirect |
| 43. #6393523 | C22 | semidirect |
| 44. #6386107 | C22 | semidirect |
| 45. #6385971 | C22 | semidirect |
| 46. #6374576 | C22 | semidirect |
| 47. C2×#21746 | C22 | semidirect |
| 48. C28 | C23 | semidirect |
| 49. C23×H(5,𝔽2) | D4 | semidirect |
| 51. C25×D4 | C23 | semidirect |
| 52. C25×D4 | C23 | semidirect |
| 53. C25×D4 | C23 | semidirect |
| 54. C26×C4 | C23 | semidirect |
| 55. #62983 | C23 | semidirect |
| 56. D4×H(5,𝔽2) | C23 | semidirect |
| 57. #62894 | C23 | semidirect |
| 58. #62892 | C23 | semidirect |
| 59. #62819 | C23 | semidirect |
| 60. #62818 | C23 | semidirect |
| 62. #62817 | C23 | semidirect |
| 63. #62773 | C23 | semidirect |
| 64. C2×#3490 | C23 | semidirect |
| 65. C2×#3484 | D4 | semidirect |
| 67. C2×#3484 | C23 | semidirect |
| 68. C22×#546 | D4 | semidirect |
| 70. C22×D42 | D4 | semidirect |
| 72. C22×#535 | D4 | semidirect |
| 73. C22×#534 | D4 | semidirect |
| 76. C23×#120 | C23 | semidirect |
| 77. C22×#518 | D4 | semidirect |
| 78. C22×B(4,𝔽2) | C23 | semidirect |
| 79. #36614 | C23 | semidirect |
| 80. C2×#2849 | C23 | semidirect |
| 81. C2×#2848 | C23 | semidirect |
| 82. C2×#2847 | C23 | semidirect |
| 83. C2×#2846 | C23 | semidirect |
| 84. C2×#2846 | C23 | semidirect |
| 85. C2×#2846 | C23 | semidirect |
| 86. C2×#2846 | C23 | semidirect |
| 87. #36152 | C23 | semidirect |
| 88. D4×#120 | C23 | semidirect |
| 89. #35222 | C23 | semidirect |
| 90. #34980 | C23 | semidirect |
| 91. C2×#2435 | C23 | semidirect |
| 92. C2×#2433 | C23 | semidirect |
| 93. C2×#2408 | C23 | semidirect |
| 94. C2×#2405 | C23 | semidirect |
| 95. C2×#2410 | C23 | semidirect |
| 96. C2×#2403 | C23 | semidirect |
| 97. #34171 | C23 | semidirect |
| 98. C2×D4×C22⋊C4 | C23 | semidirect |
| 99. C2×C4×#120 | C23 | semidirect |
| 100. C2×#2280 | C23 | semidirect |
| 101. C22×#379 | C23 | semidirect |
| 102. C22×#379 | C23 | semidirect |
| 103. #33020 | C23 | semidirect |
| 104. #32926 | C23 | semidirect |
| 105. #32898 | C23 | semidirect |
| 106. #29684 | C23 | semidirect |
| 107. #29656 | C23 | semidirect |
| 108. #29634 | C23 | semidirect |
| 109. #25947 | C23 | semidirect |
| 110. #25771 | C23 | semidirect |
| 111. #25585 | C23 | semidirect |
| 112. #25563 | C23 | semidirect |
| 113. #24404 | C23 | semidirect |
| 114. #24350 | C23 | semidirect |
| 115. #24260 | C23 | semidirect |
| 116. #24140 | C23 | semidirect |
| 117. #24112 | C23 | semidirect |
| 118. #24056 | C23 | semidirect |
| 119. #23984 | C23 | semidirect |
| 120. #23984 | C23 | semidirect |
| 121. #23984 | C23 | semidirect |
| 122. #23900 | C23 | semidirect |
| 123. #23900 | C23 | semidirect |
| 124. #23900 | C23 | semidirect |
| 125. #23595 | C23 | semidirect |
| 126. C2×#2029 | C23 | semidirect |
| 127. C2×#2021 | C23 | semidirect |
| 128. #22476 | C23 | semidirect |
| 129. D4×#99 | C23 | semidirect |
| 130. #21874 | C23 | semidirect |
| 131. #21825 | C23 | semidirect |
| 132. #21793 | C23 | semidirect |
| 133. #21746 | C23 | semidirect |
| 134. #21746 | C23 | semidirect |
| 135. #21746 | C23 | semidirect |
| 136. C4×B(4,𝔽2) | C23 | semidirect |
| 137. #21420 | C23 | semidirect |
| 138. C2×#1898 | C23 | semidirect |
| 139. C2×#1889 | C23 | semidirect |
| 140. #20722 | C23 | semidirect |
| 141. C2×#1819 | C23 | semidirect |
| 142. C2×#1781 | C23 | semidirect |
| 147. C22×H(5,𝔽2) | C2×D4 | semidirect |
| 148. C22×H(5,𝔽2) | C24 | semidirect |
| 149. C23×#41 | C2×D4 | semidirect |
| 150. C23×#41 | C2×D4 | semidirect |
| 156. C24×D4 | C2×D4 | semidirect |
| 157. C24×D4 | C2×D4 | semidirect |
| 158. C24×D4 | C2×D4 | semidirect |
| 167. #3505 | C24 | semidirect |
| 168. #3501 | C24 | semidirect |
| 169. #3496 | C24 | semidirect |
| 171. #3490 | C24 | semidirect |
| 173. #3484 | C24 | semidirect |
| 174. C2×#546 | C2×D4 | semidirect |
| 175. C2×#546 | C2×D4 | semidirect |
| 177. C2×D42 | C2×D4 | semidirect |
| 178. C2×D42 | C2×D4 | semidirect |
| 180. #3459 | C24 | semidirect |
| 181. C2×#543 | C24 | semidirect |
| 182. C2×#535 | C2×D4 | semidirect |
| 183. C2×#534 | C2×D4 | semidirect |
| 184. C2×#534 | C24 | semidirect |
| 185. C22×#127 | C2×D4 | semidirect |
| 186. C22×#124 | C2×D4 | semidirect |
| 187. C2×#525 | C2×D4 | semidirect |
| 189. C22×#123 | C2×D4 | semidirect |
| 190. C22×#123 | C2×D4 | semidirect |
| 191. C22×C22⋊Q8 | C2×D4 | semidirect |
| 193. C22×#121 | C2×D4 | semidirect |
| 194. C22×#121 | C2×D4 | semidirect |
| 195. C22×#121 | C2×D4 | semidirect |
| 196. C22×#121 | C2×D4 | semidirect |
| 197. C22×#121 | C2×D4 | semidirect |
| 199. C22×#120 | C2×D4 | semidirect |
| 200. C22×#120 | C2×D4 | semidirect |
| 201. C22×#120 | C2×D4 | semidirect |
| 202. C22×#120 | C2×D4 | semidirect |
| 209. C4×H(5,𝔽2) | C24 | semidirect |
| 210. C2×#518 | C2×D4 | semidirect |
| 211. C2×#518 | C24 | semidirect |
| 212. C22×C4×D4 | C2×D4 | semidirect |
| 213. C22×C4×D4 | C2×D4 | semidirect |
| 214. C22×C4×D4 | C2×D4 | semidirect |
| 216. C22×#117 | C2×D4 | semidirect |
| 217. C23×C22⋊C4 | C2×D4 | semidirect |
| 218. C23×C22⋊C4 | C2×D4 | semidirect |
| 222. C2×B(4,𝔽2) | C24 | semidirect |
| 223. C22×#99 | C24 | semidirect |
| 249. #2062 | C24 | semidirect |
| 250. #2044 | C24 | semidirect |
| 252. #2029 | C24 | semidirect |
| 254. #2021 | C24 | semidirect |
| 255. #1996 | C24 | semidirect |
| 256. #1964 | C24 | semidirect |
| 258. #1898 | C24 | semidirect |
| 260. #1889 | C24 | semidirect |
| 261. #1867 | C24 | semidirect |
| 263. #1819 | C24 | semidirect |
| 264. #1799 | C24 | semidirect |
| 265. #1790 | C24 | semidirect |
| 267. #1781 | C24 | semidirect |
| 268. C4×#99 | C24 | semidirect |
| 269. C2×#342 | C24 | semidirect |
| 274. C26 | C22×D4 | semidirect |
| 281. C22×#41 | C22×D4 | semidirect |
| 282. C22×#41 | C22×D4 | semidirect |
| 283. C23×Q8 | C22×D4 | semidirect |
| 307. C23×D4 | C22×D4 | semidirect |
| 308. C23×D4 | C22×D4 | semidirect |
| 309. C23×D4 | C22×D4 | semidirect |
| 310. C23×D4 | C22×D4 | semidirect |
| 311. C23×D4 | C22×D4 | semidirect |
| 312. C23×D4 | C22×D4 | semidirect |
| 313. C23×D4 | C22×D4 | semidirect |
| 314. C23×D4 | C22×D4 | semidirect |
| 324. C24×C4 | C22×D4 | semidirect |
| 325. C24×C4 | C22×D4 | semidirect |
| 326. C24×C4 | C22×D4 | semidirect |
| 327. C24×C4 | C22×D4 | semidirect |
| 333. C2×#127 | C22×D4 | semidirect |
| 334. C2×#124 | C22×D4 | semidirect |
| 335. C2×#123 | C22×D4 | semidirect |
| 336. C2×#123 | C22×D4 | semidirect |
| 337. C2×C22⋊Q8 | C22×D4 | semidirect |
| 338. C2×C22⋊Q8 | C22×D4 | semidirect |
| 340. C2×#121 | C22×D4 | semidirect |
| 341. C2×#121 | C22×D4 | semidirect |
| 342. C2×#121 | C22×D4 | semidirect |
| 343. C2×#121 | C22×D4 | semidirect |
| 344. C2×#121 | C22×D4 | semidirect |
| 345. C2×#121 | C22×D4 | semidirect |
| 348. C2×#120 | C22×D4 | semidirect |
| 349. C2×#120 | C22×D4 | semidirect |
| 350. C2×#120 | C22×D4 | semidirect |
| 351. C2×#120 | C22×D4 | semidirect |
| 357. C2×C4×D4 | C22×D4 | semidirect |
| 358. C2×C4×D4 | C22×D4 | semidirect |
| 359. C2×C4×D4 | C22×D4 | semidirect |
| 360. C2×C4×D4 | C22×D4 | semidirect |
| 362. C2×#117 | C22×D4 | semidirect |
| 363. C22×C4⋊C4 | C22×D4 | semidirect |
| 364. C22×C4⋊C4 | C22×D4 | semidirect |
| 365. C22×C4⋊C4 | C22×D4 | semidirect |
| 366. C22×C4⋊C4 | C22×D4 | semidirect |
| 369. C22×C22⋊C4 | C22×D4 | semidirect |
| 370. C22×C22⋊C4 | C22×D4 | semidirect |
| 371. C22×C22⋊C4 | C22×D4 | semidirect |
| 372. C22×C22⋊C4 | C22×D4 | semidirect |
| 373. C22×C22⋊C4 | C22×D4 | semidirect |
| 374. C22×C22⋊C4 | C22×D4 | semidirect |
| 375. C22×C22⋊C4 | C22×D4 | semidirect |
| 376. C22×C22⋊C4 | C22×D4 | semidirect |
| 381. C22×C42 | C22×D4 | semidirect |
| 417. C22×D4 | B(4,𝔽2) | semidirect |
| 481. C24 | C2×B(4,𝔽2) | semidirect |
| 502. C24 | H(7,𝔽2) | semidirect |
| 504. C2×D4 | C2×B(4,𝔽2) | semidirect |
| 509. C22×C4 | C2×B(4,𝔽2) | semidirect |
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta