← C2×#72210578 #72275367
Subgroups — C2×#72210578 #72275367
Order 2048.
At least 6031 conjugacy classes of subgroups; only the 1472 normal subgroups are shown.
The subgroup lattice has 329 nodes (normal subgroups only) — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C2×#110086 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C2×#648360 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#6500010 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | C2×#115163 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | C2×#233541 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | C2×#394058 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | C2×#115690 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×#6499867 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #72210578 | C2 | 1 | 16 | yes | maximal, direct product factor |
| 10 | C2×#62817 | C22 | 1 | 1 | yes | characteristic |
| 11 | C24×#120 | C22 | 1 | 2 | yes | complemented |
| 12 | C22×#2846 | C22 | 1 | 2 | yes | — |
| 13 | C22×#2846 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×#34980 | C22 | 1 | 4 | yes | — |
| 15 | C22×#2410 | C22 | 1 | 2 | yes | — |
| 16 | C22×#2403 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | #6500010 | C22 | 1 | 16 | yes | complemented |
| 18 | #6499867 | C22 | 1 | 8 | yes | complemented |
| 19 | C2×#21746 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#21746 | C22 | 1 | 2 | yes | — |
| 21 | C2×#21746 | C22 | 1 | 2 | yes | — |
| 22 | C22×#1898 | C22 | 1 | 4 | yes | — |
| 23 | C22×#1781 | C22 | 1 | 4 | yes | complemented |
| 24 | #648360 | C22 | 1 | 8 | yes | complemented |
| 25 | C2×#14679 | C22 | 1 | 2 | yes | complemented |
| 26 | C2×C22⋊C42 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #394058 | C22 | 1 | 32 | yes | complemented |
| 28 | C2×#10735 | C22 | 1 | 4 | yes | complemented |
| 29 | #233541 | C22 | 1 | 16 | yes | complemented |
| 30 | C2×#8101 | C22 | 1 | 2 | yes | complemented |
| 31 | #115690 | C22 | 1 | 8 | yes | complemented |
| 32 | #115163 | C22 | 1 | 16 | yes | complemented |
| 33 | #110086 | C22 | 1 | 16 | yes | complemented |
| 34 | C28 | C23 | 1 | 1 | yes | characteristic |
| 35 | C25×D4 | C23 | 1 | 2 | yes | — |
| 36 | #62817 | C23 | 1 | 4 | yes | — |
| 37 | C23×#120 | D4 | 1 | 2 | yes | complemented |
| 38 | C23×#120 | D4 | 1 | 2 | yes | complemented |
| 39 | C23×#120 | C23 | 1 | 1 | yes | characteristic |
| 40 | C23×#120 | C23 | 1 | 2 | yes | — |
| 41 | C23×#120 | C23 | 1 | 8 | yes | complemented |
| 42 | C24×C22⋊C4 | C23 | 1 | 2 | yes | — |
| 43 | C23×#99 | D4 | 1 | 8 | yes | complemented |
| 44 | C2×#2846 | D4 | 1 | 4 | yes | complemented |
| 45 | C2×#2846 | C23 | 1 | 8 | yes | — |
| 46 | C2×#2846 | C23 | 1 | 4 | yes | — |
| 47 | #34980 | C23 | 1 | 16 | yes | — |
| 48 | C2×#2410 | D4 | 1 | 8 | yes | complemented |
| 49 | C2×#2410 | C23 | 1 | 8 | yes | — |
| 50 | C2×#2403 | C23 | 1 | 4 | yes | complemented |
| 51 | C22×#386 | D4 | 1 | 2 | yes | complemented |
| 52 | C22×#385 | D4 | 1 | 2 | yes | complemented |
| 53 | C22×#379 | D4 | 1 | 2 | yes | complemented |
| 54 | C22×#379 | D4 | 1 | 2 | yes | complemented |
| 55 | C22×#379 | C23 | 1 | 2 | yes | — |
| 56 | C22×#379 | C23 | 1 | 4 | yes | — |
| 57 | C22×#379 | C23 | 1 | 1 | yes | characteristic |
| 58 | #21746 | D4 | 1 | 8 | yes | complemented |
| 59 | #21746 | C23 | 1 | 4 | yes | — |
| 60 | #21746 | C23 | 1 | 8 | yes | — |
| 61 | #21746 | C23 | 1 | 8 | yes | — |
| 62 | C2×#1898 | D4 | 1 | 16 | yes | complemented |
| 63 | C2×#1898 | C23 | 1 | 16 | yes | — |
| 64 | C2×#1819 | D4 | 1 | 4 | yes | complemented |
| 65 | C2×#1781 | D4 | 1 | 4 | yes | complemented |
| 66 | C2×#1781 | C23 | 1 | 16 | yes | complemented |
| 67 | C22×#342 | D4 | 1 | 8 | yes | complemented |
| 68 | #14679 | C23 | 1 | 8 | yes | complemented |
| 69 | C22⋊C42 | C23 | 1 | 4 | yes | complemented |
| 70 | #10735 | C23 | 1 | 16 | yes | complemented |
| 71 | #8101 | C23 | 1 | 8 | yes | complemented |
| 72 | C27 | C2×D4 | 1 | 2 | yes | — |
| 73 | C27 | C2×D4 | 1 | 2 | yes | — |
| 74 | C27 | C2×D4 | 1 | 2 | yes | — |
| 75 | C27 | C24 | 1 | 2 | yes | — |
| 76 | C27 | C24 | 1 | 1 | yes | characteristic |
| 77 | C24×D4 | C2×D4 | 1 | 2 | yes | — |
| 78 | C24×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 79 | C24×D4 | C2×D4 | 1 | 4 | yes | — |
| 80 | C24×D4 | C2×D4 | 1 | 2 | yes | — |
| 81 | C24×D4 | C2×D4 | 1 | 4 | yes | — |
| 82 | C24×D4 | C24 | 1 | 4 | yes | — |
| 83 | C25×C4 | C2×D4 | 1 | 2 | yes | — |
| 84 | C22×#120 | C2×D4 | 1 | 4 | yes | — |
| 85 | C22×#120 | C2×D4 | 1 | 2 | yes | — |
| 86 | C22×#120 | C2×D4 | 1 | 4 | yes | — |
| 87 | C22×#120 | C2×D4 | 1 | 8 | yes | — |
| 88 | C22×#120 | C2×D4 | 1 | 8 | yes | complemented |
| 89 | C22×#120 | C2×D4 | 1 | 8 | yes | complemented |
| 90 | C22×#120 | C24 | 1 | 2 | yes | — |
| 91 | C22×#120 | C24 | 1 | 4 | yes | — |
| 92 | C23×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 93 | C23×C22⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 94 | C23×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 95 | C23×C22⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 96 | C23×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 97 | C23×C22⋊C4 | C2×D4 | 1 | 8 | yes | — |
| 98 | C23×C22⋊C4 | C2×D4 | 1 | 8 | yes | — |
| 99 | C23×C22⋊C4 | C2×D4 | 1 | 8 | yes | — |
| 100 | C23×C22⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 101 | C23×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 102 | C23×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 103 | C23×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 104 | C22×#99 | C2×D4 | 1 | 32 | yes | complemented |
| 105 | C2×#386 | C2×D4 | 1 | 8 | yes | complemented |
| 106 | C2×#385 | C2×D4 | 1 | 8 | yes | complemented |
| 107 | C2×#379 | C2×D4 | 1 | 4 | yes | — |
| 108 | C2×#379 | C2×D4 | 1 | 4 | yes | — |
| 109 | C2×#379 | C2×D4 | 1 | 4 | yes | — |
| 110 | C2×#379 | C2×D4 | 1 | 4 | yes | — |
| 111 | C2×#379 | C2×D4 | 1 | 8 | yes | — |
| 112 | C2×#379 | C2×D4 | 1 | 2 | yes | — |
| 113 | C2×#379 | C2×D4 | 1 | 8 | yes | complemented |
| 114 | C2×#379 | C2×D4 | 1 | 8 | yes | complemented |
| 115 | C2×#379 | C24 | 1 | 4 | yes | — |
| 116 | C2×#379 | C24 | 1 | 8 | yes | — |
| 117 | C2×#379 | C24 | 1 | 2 | yes | — |
| 118 | #1819 | C2×D4 | 1 | 16 | yes | complemented |
| 119 | #1781 | C2×D4 | 1 | 16 | yes | complemented |
| 120 | C2×#342 | C2×D4 | 1 | 32 | yes | complemented |
| 121 | C26 | #120 | 1 | 1 | yes | characteristic |
| 122 | C26 | #127 | 1 | 2 | yes | complemented |
| 123 | C26 | C22×D4 | 1 | 2 | yes | — |
| 124 | C26 | C22×D4 | 1 | 4 | yes | — |
| 125 | C26 | C22×D4 | 1 | 4 | yes | — |
| 126 | C26 | C22×D4 | 1 | 4 | yes | — |
| 127 | C26 | C22×D4 | 1 | 1 | yes | characteristic |
| 128 | C26 | C22×D4 | 1 | 2 | yes | — |
| 129 | C26 | C22×D4 | 1 | 1 | yes | characteristic |
| 130 | C26 | C22×D4 | 1 | 2 | yes | — |
| 131 | C26 | C22×D4 | 1 | 4 | yes | — |
| 132 | C26 | C22×D4 | 1 | 2 | yes | — |
| 133 | C26 | H(5,𝔽2) | 1 | 2 | yes | — |
| 134 | C26 | H(5,𝔽2) | 1 | 4 | yes | — |
| 135 | C26 | H(5,𝔽2) | 1 | 4 | yes | — |
| 136 | C26 | H(5,𝔽2) | 1 | 2 | yes | — |
| 137 | C26 | C25 | 1 | 1 | yes | characteristic |
| 138 | C23×D4 | #120 | 1 | 4 | yes | — |
| 139 | C23×D4 | #120 | 1 | 2 | yes | — |
| 140 | C23×D4 | #127 | 1 | 8 | yes | complemented |
| 141 | C23×D4 | #127 | 1 | 4 | yes | complemented |
| 142 | C23×D4 | C22×D4 | 1 | 4 | yes | — |
| 143 | C23×D4 | C22×D4 | 1 | 2 | yes | — |
| 144 | C23×D4 | C22×D4 | 1 | 8 | yes | — |
| 145 | C23×D4 | C22×D4 | 1 | 4 | yes | — |
| 146 | C24×C4 | #120 | 1 | 2 | yes | — |
| 147 | C24×C4 | #120 | 1 | 1 | yes | characteristic |
| 148 | C24×C4 | #127 | 1 | 4 | yes | complemented |
| 149 | C24×C4 | #127 | 1 | 2 | yes | complemented |
| 150 | C24×C4 | C22×D4 | 1 | 4 | yes | — |
| 151 | C22×C22⋊C4 | #120 | 1 | 2 | yes | — |
| 152 | C22×C22⋊C4 | #120 | 1 | 4 | yes | — |
| 153 | C22×C22⋊C4 | #120 | 1 | 4 | yes | — |
| 154 | C22×C22⋊C4 | #120 | 1 | 4 | yes | — |
| 155 | C22×C22⋊C4 | #120 | 1 | 16 | yes | — |
| 156 | C22×C22⋊C4 | #120 | 1 | 4 | yes | — |
| 157 | C22×C22⋊C4 | #120 | 1 | 4 | yes | — |
| 158 | C22×C22⋊C4 | #120 | 1 | 4 | yes | — |
| 159 | C22×C22⋊C4 | #120 | 1 | 4 | yes | — |
| 160 | C22×C22⋊C4 | #127 | 1 | 8 | yes | complemented |
| 161 | C22×C22⋊C4 | #127 | 1 | 4 | yes | complemented |
| 162 | C22×C22⋊C4 | C22×D4 | 1 | 2 | yes | — |
| 163 | C22×C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 164 | C22×C22⋊C4 | C22×D4 | 1 | 8 | yes | — |
| 165 | C22×C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 166 | C22×C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 167 | C22×C22⋊C4 | C22×D4 | 1 | 16 | yes | — |
| 168 | C22×C22⋊C4 | C22×D4 | 1 | 16 | yes | — |
| 169 | C22×C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 170 | C22×C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 171 | #379 | #120 | 1 | 8 | yes | — |
| 172 | #379 | C22×D4 | 1 | 8 | yes | — |
| 173 | #379 | C22×D4 | 1 | 8 | yes | — |
| 174 | C25 | C2×#120 | 1 | 1 | yes | characteristic |
| 175 | C25 | C2×#120 | 1 | 2 | yes | — |
| 176 | C25 | C2×#120 | 1 | 1 | yes | characteristic |
| 177 | C25 | C2×#120 | 1 | 2 | yes | — |
| 178 | C25 | C2×#120 | 1 | 4 | yes | — |
| 179 | C25 | C2×#120 | 1 | 2 | yes | — |
| 180 | C25 | C2×#120 | 1 | 1 | yes | characteristic |
| 181 | C25 | C2×#120 | 1 | 2 | yes | — |
| 182 | C25 | C2×#120 | 1 | 1 | yes | characteristic |
| 183 | C25 | C2×#120 | 1 | 2 | yes | — |
| 184 | C25 | C2×#127 | 1 | 2 | yes | — |
| 185 | C25 | C2×#127 | 1 | 4 | yes | — |
| 186 | C25 | C2×#127 | 1 | 2 | yes | — |
| 187 | C25 | C2×#127 | 1 | 4 | yes | complemented |
| 188 | C25 | #534 | 1 | 2 | yes | — |
| 189 | C25 | #534 | 1 | 2 | yes | — |
| 190 | C25 | #534 | 1 | 1 | yes | characteristic |
| 191 | C25 | #534 | 1 | 1 | yes | characteristic |
| 192 | C25 | #534 | 1 | 2 | yes | — |
| 193 | C25 | #534 | 1 | 4 | yes | — |
| 194 | C25 | #535 | 1 | 4 | yes | — |
| 195 | C25 | #535 | 1 | 4 | yes | — |
| 196 | C25 | #535 | 1 | 2 | yes | — |
| 197 | C25 | #535 | 1 | 2 | yes | — |
| 198 | C25 | #535 | 1 | 4 | yes | — |
| 199 | C25 | #535 | 1 | 4 | yes | — |
| 200 | C25 | #535 | 1 | 4 | yes | — |
| 201 | C25 | D42 | 1 | 4 | yes | — |
| 202 | C25 | D42 | 1 | 4 | yes | — |
| 203 | C25 | D42 | 1 | 2 | yes | — |
| 204 | C25 | D42 | 1 | 4 | yes | — |
| 205 | C25 | D42 | 1 | 4 | yes | — |
| 206 | C25 | D42 | 1 | 4 | yes | — |
| 207 | C25 | D42 | 1 | 4 | yes | — |
| 208 | C25 | D42 | 1 | 4 | yes | — |
| 209 | C25 | D42 | 1 | 4 | yes | — |
| 210 | C25 | D42 | 1 | 4 | yes | — |
| 211 | C25 | D42 | 1 | 4 | yes | — |
| 212 | C25 | D42 | 1 | 4 | yes | — |
| 213 | C25 | D42 | 1 | 4 | yes | — |
| 214 | C25 | D42 | 1 | 4 | yes | — |
| 215 | C25 | D42 | 1 | 2 | yes | — |
| 216 | C25 | D42 | 1 | 4 | yes | — |
| 217 | C25 | D42 | 1 | 4 | yes | — |
| 218 | C25 | D42 | 1 | 4 | yes | — |
| 219 | C25 | D42 | 1 | 4 | yes | — |
| 220 | C25 | #560 | 1 | 2 | yes | — |
| 221 | C25 | #560 | 1 | 2 | yes | — |
| 222 | C25 | #560 | 1 | 4 | yes | — |
| 223 | C25 | C23×D4 | 1 | 2 | yes | — |
| 224 | C25 | C23×D4 | 1 | 4 | yes | — |
| 225 | C25 | C23×D4 | 1 | 1 | yes | characteristic |
| 226 | C25 | C23×D4 | 1 | 2 | yes | — |
| 227 | C25 | C2×H(5,𝔽2) | 1 | 2 | yes | — |
| 228 | C25 | C2×H(5,𝔽2) | 1 | 4 | yes | — |
| 229 | C23×C4 | C2×#120 | 1 | 4 | yes | — |
| 230 | C23×C4 | C2×#120 | 1 | 2 | yes | — |
| 231 | C23×C4 | C2×#127 | 1 | 8 | yes | complemented |
| 232 | C23×C4 | C2×#127 | 1 | 4 | yes | complemented |
| 233 | C2×C22⋊C4 | B(4,𝔽2) | 1 | 16 | yes | complemented |
| 234 | C2×C22⋊C4 | C2×#120 | 1 | 8 | yes | — |
| 235 | C2×C22⋊C4 | C2×#120 | 1 | 8 | yes | — |
| 236 | C2×C22⋊C4 | C2×#120 | 1 | 8 | yes | — |
| 237 | C24 | #2403 | 1 | 1 | yes | characteristic |
| 238 | C24 | #2403 | 1 | 2 | yes | — |
| 239 | C24 | #2403 | 1 | 4 | yes | — |
| 240 | C24 | #2403 | 1 | 4 | yes | — |
| 241 | C24 | #2403 | 1 | 1 | yes | characteristic |
| 242 | C24 | #2403 | 1 | 2 | yes | — |
| 243 | C24 | #2403 | 1 | 1 | yes | characteristic |
| 244 | C24 | #2403 | 1 | 4 | yes | — |
| 245 | C24 | #2403 | 1 | 2 | yes | — |
| 246 | C24 | #2403 | 1 | 1 | yes | characteristic |
| 247 | C24 | #2403 | 1 | 2 | yes | — |
| 248 | C24 | #2433 | 1 | 2 | yes | — |
| 249 | C24 | #2433 | 1 | 4 | yes | — |
| 250 | C24 | #2433 | 1 | 4 | yes | — |
| 251 | C24 | #2433 | 1 | 4 | yes | — |
| 252 | C24 | #2433 | 1 | 4 | yes | — |
| 253 | C24 | #2433 | 1 | 2 | yes | — |
| 254 | C24 | #2433 | 1 | 4 | yes | — |
| 255 | C24 | #2433 | 1 | 2 | yes | — |
| 256 | C24 | #2433 | 1 | 4 | yes | — |
| 257 | C24 | #2433 | 1 | 4 | yes | — |
| 258 | C24 | #2433 | 1 | 4 | yes | — |
| 259 | C24 | #2433 | 1 | 4 | yes | — |
| 260 | C24 | #2433 | 1 | 2 | yes | — |
| 261 | C24 | #2433 | 1 | 4 | yes | — |
| 262 | C24 | #2669 | 1 | 4 | yes | — |
| 263 | C24 | #2669 | 1 | 2 | yes | — |
| 264 | C24 | #2669 | 1 | 4 | yes | — |
| 265 | C24 | #2669 | 1 | 4 | yes | — |
| 266 | C24 | #2669 | 1 | 2 | yes | — |
| 267 | C24 | #2669 | 1 | 4 | yes | — |
| 268 | C24 | #2669 | 1 | 4 | yes | — |
| 269 | C24 | #2669 | 1 | 4 | yes | — |
| 270 | C24 | #2669 | 1 | 4 | yes | — |
| 271 | C24 | #2669 | 1 | 4 | yes | — |
| 272 | C24 | #2669 | 1 | 2 | yes | — |
| 273 | C24 | #2669 | 1 | 4 | yes | — |
| 274 | C24 | #2669 | 1 | 4 | yes | — |
| 275 | C24 | #2669 | 1 | 2 | yes | — |
| 276 | C24 | C2×B(4,𝔽2) | 1 | 8 | yes | — |
| 277 | C24 | #3027 | 1 | 8 | yes | — |
| 278 | C24 | C22×#120 | 1 | 1 | yes | characteristic |
| 279 | C24 | C22×#120 | 1 | 1 | yes | characteristic |
| 280 | C24 | C22×#120 | 1 | 2 | yes | — |
| 281 | C24 | C22×#127 | 1 | 2 | yes | — |
| 282 | C24 | C2×#534 | 1 | 2 | yes | — |
| 283 | C24 | C2×#534 | 1 | 1 | yes | characteristic |
| 284 | C24 | C2×#535 | 1 | 4 | yes | — |
| 285 | C24 | C2×#535 | 1 | 2 | yes | — |
| 286 | C24 | C2×D42 | 1 | 4 | yes | — |
| 287 | C24 | C2×D42 | 1 | 4 | yes | — |
| 288 | C24 | C2×D42 | 1 | 2 | yes | — |
| 289 | C24 | C2×D42 | 1 | 4 | yes | — |
| 290 | C24 | C2×D42 | 1 | 4 | yes | — |
| 291 | C24 | C2×#560 | 1 | 2 | yes | — |
| 292 | C22⋊C4 | C2×B(4,𝔽2) | 1 | 16 | yes | complemented |
| 293 | C23 | #15258 | 1 | 4 | yes | — |
| 294 | C23 | #15258 | 1 | 2 | yes | — |
| 295 | C23 | #15258 | 1 | 2 | yes | — |
| 296 | C23 | #15258 | 1 | 2 | yes | — |
| 297 | C23 | #15258 | 1 | 4 | yes | — |
| 298 | C23 | #15258 | 1 | 1 | yes | characteristic |
| 299 | C23 | #15258 | 1 | 1 | yes | characteristic |
| 300 | C23 | #23895 | 1 | 4 | yes | — |
| 301 | C23 | #23900 | 1 | 4 | yes | — |
| 302 | C23 | #23900 | 1 | 4 | yes | — |
| 303 | C23 | #23904 | 1 | 4 | yes | — |
| 304 | C23 | #23904 | 1 | 4 | yes | — |
| 305 | C23 | #25771 | 1 | 16 | yes | — |
| 306 | C23 | #25771 | 1 | 16 | yes | — |
| 307 | C23 | C2×#2403 | 1 | 2 | yes | — |
| 308 | C23 | C2×#2403 | 1 | 1 | yes | characteristic |
| 309 | C23 | C2×#2433 | 1 | 2 | yes | — |
| 310 | C23 | C2×#2433 | 1 | 4 | yes | — |
| 311 | C23 | C2×#2669 | 1 | 4 | yes | — |
| 312 | C23 | C2×#2669 | 1 | 2 | yes | — |
| 313 | C23 | C22×B(4,𝔽2) | 1 | 4 | yes | — |
| 314 | C23 | C2×#3027 | 1 | 4 | yes | — |
| 315 | C22 | #417821 | 1 | 4 | yes | — |
| 316 | C22 | #417821 | 1 | 8 | yes | — |
| 317 | C22 | #417821 | 1 | 4 | yes | — |
| 318 | C22 | #417824 | 1 | 2 | yes | — |
| 319 | C22 | #417824 | 1 | 2 | yes | — |
| 320 | C22 | C2×#15258 | 1 | 1 | yes | characteristic |
| 321 | C22 | C2×#23900 | 1 | 2 | yes | — |
| 322 | C22 | C2×#23904 | 1 | 2 | yes | — |
| 323 | C22 | C2×#23895 | 1 | 2 | yes | — |
| 324 | C22 | C2×#25771 | 1 | 8 | yes | — |
| 325 | C2 | #72210578 | 1 | 4 | yes | direct product factor |
| 326 | C2 | C2×#417824 | 1 | 1 | yes | characteristic |
| 327 | C2 | C2×#417821 | 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