← #26004898
Subgroups — #26004898
Order 11008.
7190 conjugacy classes of subgroups.
The subgroup lattice has 672 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #19148704 | C2 | 1 | 8 | yes | maximal, complemented |
| 2 | #19148612 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #19148601 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #19148447 | C2 | 1 | 6 | yes | maximal, complemented |
| 5 | #19148405 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #19148366 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #19148315 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | #19148253 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #19148221 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #19148217 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #19148193 | C2 | 1 | 8 | yes | maximal, complemented |
| 12 | #19148017 | C2 | 1 | 6 | yes | maximal, complemented |
| 13 | #19147891 | C2 | 1 | 6 | yes | maximal, complemented |
| 14 | C4×#13063373 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | C2×C4×#41×C43 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#13063373 | C22 | 1 | 2 | yes | — |
| 17 | #14583632 | C22 | 1 | 24 | yes | complemented |
| 18 | Q8×Dic86 | C22 | 1 | 4 | yes | complemented |
| 19 | #14583628 | C22 | 1 | 4 | yes | complemented |
| 20 | #14583625 | C22 | 1 | 8 | yes | complemented |
| 21 | #14583619 | C22 | 1 | 12 | yes | complemented |
| 22 | #14583617 | C22 | 1 | 24 | yes | complemented |
| 23 | #14583614 | C22 | 1 | 12 | yes | complemented |
| 24 | #14583612 | C22 | 1 | 24 | yes | complemented |
| 25 | #14583599 | C22 | 1 | 24 | yes | complemented |
| 26 | #14583593 | C22 | 1 | 24 | yes | complemented |
| 27 | #14583588 | C22 | 1 | 24 | yes | complemented |
| 28 | #14583571 | C22 | 1 | 4 | yes | complemented |
| 29 | #14583570 | C22 | 1 | 12 | yes | complemented |
| 30 | #14583568 | C22 | 1 | 8 | yes | — |
| 31 | #14583568 | C22 | 1 | 8 | yes | — |
| 32 | Q8×D172 | C22 | 1 | 4 | yes | complemented |
| 33 | #14583561 | C22 | 1 | 8 | yes | complemented |
| 34 | #14583556 | C22 | 1 | 8 | yes | — |
| 35 | #14583556 | C22 | 1 | 8 | yes | — |
| 36 | #14583554 | C22 | 1 | 12 | yes | complemented |
| 37 | #14583530 | C22 | 1 | 6 | yes | — |
| 38 | #14583514 | C22 | 1 | 24 | yes | complemented |
| 39 | #14583500 | C22 | 1 | 24 | yes | complemented |
| 40 | #14583487 | C22 | 1 | 24 | yes | — |
| 41 | #14583480 | C22 | 1 | 6 | yes | — |
| 42 | #14583466 | C22 | 1 | 12 | yes | — |
| 43 | #14583456 | C22 | 1 | 6 | yes | — |
| 44 | #14583456 | C22 | 1 | 6 | yes | complemented |
| 45 | #14583456 | C22 | 1 | 6 | yes | complemented |
| 46 | #14583449 | C22 | 1 | 6 | yes | — |
| 47 | #14583449 | C22 | 1 | 6 | yes | complemented |
| 48 | #14583449 | C22 | 1 | 6 | yes | complemented |
| 49 | #14583446 | C22 | 1 | 24 | yes | complemented |
| 50 | #14583433 | C22 | 1 | 12 | yes | — |
| 51 | #14583433 | C22 | 1 | 4 | yes | — |
| 52 | #14583433 | C22 | 1 | 12 | yes | complemented |
| 53 | #14583433 | C22 | 1 | 12 | yes | complemented |
| 54 | #14583433 | C22 | 1 | 12 | yes | complemented |
| 55 | #14583433 | C22 | 1 | 12 | yes | complemented |
| 56 | #14583431 | C22 | 1 | 24 | yes | complemented |
| 57 | #14583410 | C22 | 1 | 12 | yes | — |
| 58 | #14583410 | C22 | 1 | 12 | yes | — |
| 59 | #14583410 | C22 | 1 | 12 | yes | — |
| 60 | #14583381 | C22 | 1 | 8 | yes | complemented |
| 61 | #14583380 | C22 | 1 | 12 | yes | — |
| 62 | #14583377 | C22 | 1 | 2 | yes | — |
| 63 | #14583375 | C22 | 1 | 8 | yes | complemented |
| 64 | C4×#10621902 | C22 | 1 | 8 | yes | complemented |
| 65 | C4×#10621898 | C22 | 1 | 12 | yes | — |
| 66 | C4×#10621898 | C22 | 1 | 12 | yes | complemented |
| 67 | C4×#10621898 | C22 | 1 | 12 | yes | complemented |
| 68 | C4×Q8×D43 | C22 | 1 | 8 | yes | complemented |
| 69 | C22×#41×C43 | C22 | 1 | 1 | yes | characteristic |
| 70 | C4×#41×C43 | C22 | 1 | 4 | yes | — |
| 71 | C4×#41×C43 | C22 | 1 | 4 | yes | — |
| 72 | C4×#41×C43 | C22 | 1 | 4 | yes | — |
| 73 | C4×#41×C43 | C22 | 1 | 4 | yes | — |
| 74 | C2×C4×Q8×C43 | C22 | 1 | 1 | yes | characteristic |
| 75 | C2×C4×Q8×C43 | C22 | 1 | 1 | yes | characteristic |
| 76 | C2×C4×D4×C43 | C22 | 1 | 3 | yes | — |
| 77 | C2×C4×D4×C43 | C22 | 1 | 3 | yes | — |
| 78 | C2×#117×C43 | C22 | 1 | 3 | yes | — |
| 79 | C22×C42×C43 | C22 | 1 | 3 | yes | — |
| 80 | #13063373 | — | 2 | 16 | no | — |
| 81 | C2×#10621902 | C23 | 1 | 8 | yes | — |
| 82 | C2×#10621898 | C23 | 1 | 12 | yes | — |
| 83 | C2×#10621898 | C23 | 1 | 12 | yes | — |
| 84 | C2×#10621898 | C23 | 1 | 12 | yes | — |
| 85 | C2×Q8×D43 | C23 | 1 | 8 | yes | — |
| 86 | #13063325 | C23 | 1 | 6 | yes | — |
| 87 | #13063325 | C23 | 1 | 6 | yes | — |
| 88 | #13063325 | C23 | 1 | 6 | yes | — |
| 89 | #13063324 | C23 | 1 | 24 | yes | — |
| 90 | #13063322 | C23 | 1 | 6 | yes | — |
| 91 | #13063321 | C23 | 1 | 24 | yes | — |
| 92 | #13063319 | C23 | 1 | 24 | yes | — |
| 93 | #13063319 | C23 | 1 | 8 | yes | — |
| 94 | #13063318 | C23 | 1 | 48 | yes | — |
| 95 | #13063317 | C23 | 1 | 12 | yes | — |
| 96 | #13063317 | C23 | 1 | 12 | yes | — |
| 97 | #13063317 | C23 | 1 | 4 | yes | — |
| 98 | #13063316 | C23 | 1 | 24 | yes | — |
| 99 | #13063313 | C23 | 1 | 12 | yes | — |
| 100 | #13063313 | C23 | 1 | 12 | yes | — |
| 101 | #13063313 | C23 | 1 | 4 | yes | — |
| 102 | #13063312 | C23 | 1 | 24 | yes | — |
| 103 | #13063311 | C23 | 1 | 48 | yes | — |
| 104 | #13063308 | C23 | 1 | 24 | yes | — |
| 105 | #13063308 | C23 | 1 | 8 | yes | — |
| 106 | #13063308 | C23 | 1 | 24 | yes | — |
| 107 | #13063307 | C23 | 1 | 48 | yes | — |
| 108 | #13063305 | C23 | 1 | 24 | yes | — |
| 109 | #13063304 | C23 | 1 | 12 | yes | — |
| 110 | #13063304 | C23 | 1 | 12 | yes | — |
| 111 | #13063304 | C23 | 1 | 12 | yes | — |
| 112 | #13063304 | C23 | 1 | 4 | yes | — |
| 113 | #13063304 | C23 | 1 | 12 | yes | — |
| 114 | #13063304 | C23 | 1 | 12 | yes | — |
| 115 | #13063300 | C23 | 1 | 24 | yes | — |
| 116 | #13063299 | C23 | 1 | 12 | yes | — |
| 117 | #13063299 | C23 | 1 | 12 | yes | — |
| 118 | #13063299 | C23 | 1 | 12 | yes | — |
| 119 | #13063299 | C23 | 1 | 4 | yes | — |
| 120 | #13063299 | C23 | 1 | 12 | yes | — |
| 121 | #13063299 | C23 | 1 | 12 | yes | — |
| 122 | #13063298 | C23 | 1 | 48 | yes | — |
| 123 | #13063296 | C23 | 1 | 24 | yes | — |
| 124 | #13063296 | C23 | 1 | 24 | yes | — |
| 125 | #13063294 | C23 | 1 | 24 | yes | — |
| 126 | Q8×Dic43 | C23 | 1 | 8 | yes | — |
| 127 | Q8×Dic43 | C23 | 1 | 8 | yes | — |
| 128 | C4×Dic86 | C23 | 1 | 12 | yes | — |
| 129 | C4×Dic86 | C23 | 1 | 12 | yes | — |
| 130 | C4×Dic86 | C23 | 1 | 12 | yes | — |
| 131 | C4×Dic86 | C23 | 1 | 12 | yes | — |
| 132 | C4×Dic86 | C23 | 1 | 4 | yes | — |
| 133 | C4×Dic86 | C23 | 1 | 12 | yes | — |
| 134 | #13063290 | C23 | 1 | 24 | yes | — |
| 135 | C4×D172 | C23 | 1 | 12 | yes | — |
| 136 | C4×D172 | C23 | 1 | 12 | yes | — |
| 137 | C4×D172 | C23 | 1 | 12 | yes | — |
| 138 | C4×D172 | C23 | 1 | 12 | yes | — |
| 139 | C4×D172 | C23 | 1 | 12 | yes | — |
| 140 | C4×D172 | C23 | 1 | 4 | yes | — |
| 141 | #13063287 | C23 | 1 | 24 | yes | — |
| 142 | C4×C22⋊D43 | C23 | 1 | 24 | yes | — |
| 143 | C4×C22⋊D43 | C23 | 1 | 24 | yes | — |
| 144 | C4×C22⋊D43 | C23 | 1 | 24 | yes | — |
| 145 | C4×C22⋊D43 | C23 | 1 | 8 | yes | — |
| 146 | C4×C22⋊D43 | C23 | 1 | 24 | yes | — |
| 147 | C4×C22⋊D43 | C23 | 1 | 24 | yes | — |
| 148 | #13063284 | C23 | 1 | 12 | yes | — |
| 149 | #13063284 | C23 | 1 | 12 | yes | — |
| 150 | #13063284 | C23 | 1 | 12 | yes | — |
| 151 | #13063283 | C23 | 1 | 24 | yes | — |
| 152 | #13063282 | C23 | 1 | 24 | yes | — |
| 153 | #13063282 | C23 | 1 | 24 | yes | — |
| 154 | #13063282 | C23 | 1 | 8 | yes | — |
| 155 | C4⋊C4×D43 | C23 | 1 | 24 | yes | — |
| 156 | C42×D43 | C23 | 1 | 24 | yes | — |
| 157 | C2×#41×C43 | — | 2 | 8 | no | — |
| 158 | C2×#41×C43 | C23 | 1 | 4 | yes | — |
| 159 | C2×#41×C43 | C23 | 1 | 4 | yes | — |
| 160 | C22×Q8×C43 | C23 | 1 | 1 | yes | characteristic |
| 161 | C22×D4×C43 | C23 | 1 | 3 | yes | — |
| 162 | C23×C4×C43 | C23 | 1 | 3 | yes | — |
| 163 | C23×C4×C43 | C23 | 1 | 3 | yes | — |
| 164 | C23×C4×C43 | C23 | 1 | 3 | yes | — |
| 165 | C4×Q8×C43 | C23 | 1 | 4 | yes | — |
| 166 | C4×Q8×C43 | C23 | 1 | 4 | yes | — |
| 167 | C4×Q8×C43 | C23 | 1 | 4 | yes | — |
| 168 | C4×Q8×C43 | C23 | 1 | 4 | yes | — |
| 169 | C4×D4×C43 | C23 | 1 | 12 | yes | — |
| 170 | C4×D4×C43 | C23 | 1 | 12 | yes | — |
| 171 | C4×D4×C43 | C23 | 1 | 12 | yes | — |
| 172 | C4×D4×C43 | C23 | 1 | 12 | yes | — |
| 173 | #117×C43 | C23 | 1 | 12 | yes | — |
| 174 | #117×C43 | C23 | 1 | 12 | yes | — |
| 175 | C2×C4⋊C4×C43 | C23 | 1 | 3 | yes | — |
| 176 | C2×C4⋊C4×C43 | C23 | 1 | 3 | yes | — |
| 177 | C2×C22⋊C4×C43 | C23 | 1 | 6 | yes | — |
| 178 | C2×C42×C43 | C23 | 1 | 1 | yes | characteristic |
| 179 | C2×C42×C43 | C23 | 1 | 3 | yes | — |
| 180 | C2×C42×C43 | C23 | 1 | 3 | yes | — |
| 181 | C2×C42×C43 | C23 | 1 | 3 | yes | — |
| 182 | C2×C42×C43 | C23 | 1 | 6 | yes | — |
| 183 | C2×C42×C43 | C23 | 1 | 6 | yes | — |
| 184 | C2×C42×C43 | C23 | 1 | 6 | yes | — |
| 185 | C2×C42×C43 | C23 | 1 | 6 | yes | — |
| 186 | C24×C43 | C24 | 1 | 3 | yes | — |
| 187 | #41×C43 | — | 2 | 16 | no | — |
| 188 | #41×C43 | — | 2 | 16 | no | — |
| 189 | C2×Q8×C43 | #41 | 1 | 8 | yes | complemented |
| 190 | C2×Q8×C43 | C24 | 1 | 4 | yes | — |
| 191 | C2×D4×C43 | — | 2 | 12 | no | — |
| 192 | C2×D4×C43 | C24 | 1 | 12 | yes | — |
| 193 | C22×C4×C43 | — | 2 | 12 | no | — |
| 194 | C22×C4×C43 | — | 4 | 6 | no | — |
| 195 | C22×C4×C43 | — | 4 | 6 | no | — |
| 196 | C22×C4×C43 | C24 | 1 | 1 | yes | characteristic |
| 197 | C22×C4×C43 | C24 | 1 | 1 | yes | characteristic |
| 198 | C22×C4×C43 | C24 | 1 | 1 | yes | characteristic |
| 199 | C22×C4×C43 | C24 | 1 | 6 | yes | — |
| 200 | C22×C4×C43 | C24 | 1 | 6 | yes | — |
| 201 | C22×C4×C43 | C24 | 1 | 6 | yes | — |
| 202 | C22×C4×C43 | C24 | 1 | 6 | yes | — |
| 203 | C22×C4×C43 | C24 | 1 | 3 | yes | — |
| 204 | C22×C4×C43 | C24 | 1 | 3 | yes | — |
| 205 | C22×C4×C43 | C24 | 1 | 6 | yes | — |
| 206 | C22×C4×C43 | C24 | 1 | 6 | yes | — |
| 207 | C22×C4×C43 | C24 | 1 | 3 | yes | — |
| 208 | C2×C22⋊D43 | C24 | 1 | 8 | yes | — |
| 209 | C2×C22⋊D43 | C24 | 1 | 24 | yes | — |
| 210 | C2×C22⋊D43 | C24 | 1 | 24 | yes | — |
| 211 | #10621902 | — | 2 | 32 | no | — |
| 212 | Q8×D43 | — | 2 | 32 | no | — |
| 213 | #10621898 | — | 2 | 48 | no | — |
| 214 | #10621898 | — | 4 | 24 | no | — |
| 215 | #10621898 | — | 4 | 24 | no | — |
| 216 | C2×D172 | C24 | 1 | 12 | yes | — |
| 217 | C2×D172 | C24 | 1 | 4 | yes | — |
| 218 | C2×D172 | C24 | 1 | 12 | yes | — |
| 219 | C2×C4×D43 | C24 | 1 | 8 | yes | — |
| 220 | C2×C4×D43 | C24 | 1 | 24 | yes | — |
| 221 | C2×C4×D43 | C24 | 1 | 24 | yes | — |
| 222 | C2×Dic86 | C24 | 1 | 12 | yes | — |
| 223 | C2×Dic86 | C24 | 1 | 4 | yes | — |
| 224 | C2×Dic86 | C24 | 1 | 12 | yes | — |
| 225 | C4⋊C4×C43 | C24 | 1 | 12 | yes | — |
| 226 | C4⋊C4×C43 | C24 | 1 | 12 | yes | — |
| 227 | C22⋊C4×C43 | C24 | 1 | 24 | yes | — |
| 228 | C42×C43 | C24 | 1 | 1 | yes | characteristic |
| 229 | C42×C43 | C24 | 1 | 1 | yes | characteristic |
| 230 | C42×C43 | C24 | 1 | 1 | yes | characteristic |
| 231 | C42×C43 | C24 | 1 | 1 | yes | characteristic |
| 232 | C42×C43 | C24 | 1 | 6 | yes | — |
| 233 | C42×C43 | C24 | 1 | 6 | yes | — |
| 234 | C42×C43 | C24 | 1 | 6 | yes | — |
| 235 | C42×C43 | C24 | 1 | 6 | yes | — |
| 236 | C42×C43 | C24 | 1 | 6 | yes | — |
| 237 | C42×C43 | C24 | 1 | 6 | yes | — |
| 238 | C22⋊Dic43 | C24 | 1 | 8 | yes | — |
| 239 | C22⋊Dic43 | C24 | 1 | 24 | yes | — |
| 240 | C22⋊Dic43 | C24 | 1 | 24 | yes | — |
| 241 | (C2×D43)⋊C4 | C24 | 1 | 8 | yes | — |
| 242 | (C2×D43)⋊C4 | C24 | 1 | 8 | yes | — |
| 243 | (C2×D43)⋊C4 | C24 | 1 | 24 | yes | — |
| 244 | (C2×D43)⋊C4 | C24 | 1 | 8 | yes | — |
| 245 | (C2×D43)⋊C4 | C24 | 1 | 8 | yes | — |
| 246 | (C2×D43)⋊C4 | C24 | 1 | 24 | yes | — |
| 247 | C4⋊Dic43 | C24 | 1 | 12 | yes | — |
| 248 | C4⋊Dic43 | C24 | 1 | 12 | yes | — |
| 249 | C4⋊Dic43 | C24 | 1 | 4 | yes | — |
| 250 | C4⋊Dic43 | C24 | 1 | 4 | yes | — |
| 251 | C4⋊Dic43 | C24 | 1 | 12 | yes | — |
| 252 | C4⋊Dic43 | C24 | 1 | 12 | yes | — |
| 253 | Dic43⋊C4 | C24 | 1 | 24 | yes | — |
| 254 | Dic43⋊C4 | C24 | 1 | 8 | yes | — |
| 255 | Dic43⋊C4 | C24 | 1 | 8 | yes | — |
| 256 | Dic43⋊C4 | C24 | 1 | 8 | yes | — |
| 257 | Dic43⋊C4 | C24 | 1 | 8 | yes | — |
| 258 | Dic43⋊C4 | C24 | 1 | 24 | yes | — |
| 259 | C4×Dic43 | C24 | 1 | 8 | yes | — |
| 260 | C4×Dic43 | C24 | 1 | 24 | yes | — |
| 261 | C4×Dic43 | C24 | 1 | 24 | yes | — |
| 262 | C23×C43 | — | 2 | 6 | no | — |
| 263 | C23×C43 | — | 4 | 3 | no | — |
| 264 | C23×C43 | — | 4 | 3 | no | — |
| 265 | C23×C43 | C25 | 1 | 6 | yes | — |
| 266 | C23×C43 | C25 | 1 | 1 | yes | characteristic |
| 267 | C22×D43 | C25 | 1 | 8 | yes | — |
| 268 | Q8×C43 | C2×#41 | 1 | 16 | yes | — |
| 269 | D4×C43 | — | 2 | 24 | no | — |
| 270 | C2×C4×C43 | — | 2 | 2 | no | — |
| 271 | C2×C4×C43 | — | 2 | 12 | no | — |
| 272 | C2×C4×C43 | — | 2 | 12 | no | — |
| 273 | C2×C4×C43 | — | 2 | 12 | no | — |
| 274 | C2×C4×C43 | — | 2 | 12 | no | — |
| 275 | C2×C4×C43 | — | 2 | 2 | no | — |
| 276 | C2×C4×C43 | — | 2 | 2 | no | — |
| 277 | C2×C4×C43 | — | 4 | 3 | no | — |
| 278 | C2×C4×C43 | — | 4 | 6 | no | — |
| 279 | C2×C4×C43 | — | 4 | 3 | no | — |
| 280 | C2×C4×C43 | — | 4 | 6 | no | — |
| 281 | C2×C4×C43 | C2×#41 | 1 | 12 | yes | — |
| 282 | C2×C4×C43 | C25 | 1 | 6 | yes | — |
| 283 | C2×C4×C43 | C25 | 1 | 1 | yes | characteristic |
| 284 | C2×C4×C43 | C25 | 1 | 1 | yes | characteristic |
| 285 | C2×C4×C43 | C25 | 1 | 1 | yes | characteristic |
| 286 | C2×C4×C43 | C25 | 1 | 1 | yes | characteristic |
| 287 | C2×C4×C43 | C25 | 1 | 6 | yes | — |
| 288 | C2×C4×C43 | C25 | 1 | 6 | yes | — |
| 289 | C2×C4×C43 | C25 | 1 | 1 | yes | characteristic |
| 290 | C2×C4×C43 | C25 | 1 | 1 | yes | characteristic |
| 291 | C22⋊D43 | — | 2 | 16 | no | — |
| 292 | C22⋊D43 | — | 4 | 24 | no | — |
| 293 | C22⋊D43 | — | 4 | 24 | no | — |
| 294 | C2×Dic43 | C25 | 1 | 8 | yes | — |
| 295 | C2×Dic43 | C25 | 1 | 8 | yes | — |
| 296 | C2×Dic43 | C25 | 1 | 8 | yes | — |
| 297 | D172 | — | 2 | 24 | no | — |
| 298 | D172 | — | 2 | 8 | no | — |
| 299 | D172 | — | 4 | 12 | no | — |
| 300 | C4×D43 | — | 2 | 48 | no | — |
| 301 | C4×D43 | — | 2 | 16 | no | — |
| 302 | C4×D43 | — | 4 | 24 | no | — |
| 303 | Dic86 | — | 2 | 24 | no | — |
| 304 | Dic86 | — | 2 | 8 | no | — |
| 305 | Dic86 | — | 4 | 12 | no | — |
| 306 | #62793 | — | 43 | 1 | no | maximal, Sylow |
| 307 | C22×C43 | — | 2 | 1 | no | — |
| 308 | C22×C43 | — | 2 | 1 | no | — |
| 309 | C22×C43 | — | 2 | 6 | no | — |
| 310 | C22×C43 | — | 2 | 6 | no | — |
| 311 | C22×C43 | — | 2 | 6 | no | — |
| 312 | C22×C43 | — | 4 | 12 | no | — |
| 313 | C22×C43 | C22×#41 | 1 | 2 | yes | — |
| 314 | C22×C43 | C26 | 1 | 1 | yes | characteristic |
| 315 | C2×D43 | — | 2 | 8 | no | — |
| 316 | C2×D43 | — | 2 | 8 | no | — |
| 317 | C2×D43 | — | 2 | 8 | no | — |
| 318 | C4×C43 | — | 2 | 1 | no | — |
| 319 | C4×C43 | — | 2 | 1 | no | — |
| 320 | C4×C43 | — | 2 | 6 | no | — |
| 321 | C4×C43 | — | 2 | 6 | no | — |
| 322 | C4×C43 | — | 2 | 1 | no | — |
| 323 | C4×C43 | — | 2 | 1 | no | — |
| 324 | C4×C43 | C22×#41 | 1 | 12 | yes | — |
| 325 | C4×C43 | #585 | 1 | 2 | yes | — |
| 326 | C4×C43 | #585 | 1 | 2 | yes | — |
| 327 | Dic43 | — | 2 | 8 | no | — |
| 328 | Dic43 | — | 2 | 8 | no | — |
| 329 | Dic43 | — | 2 | 8 | no | — |
| 330 | #3524 | — | 43 | 8 | no | — |
| 331 | #3518 | — | 43 | 4 | no | — |
| 332 | #3517 | — | 43 | 4 | no | — |
| 333 | #3506 | — | 43 | 6 | no | — |
| 334 | #3502 | — | 43 | 1 | no | — |
| 335 | #3497 | — | 43 | 1 | no | — |
| 336 | #3493 | — | 43 | 6 | no | — |
| 337 | #3487 | — | 43 | 2 | no | — |
| 338 | #3483 | — | 43 | 4 | no | — |
| 339 | #3482 | — | 43 | 4 | no | — |
| 340 | #3480 | — | 43 | 8 | no | — |
| 341 | #3460 | — | 43 | 6 | no | — |
| 342 | #3444 | — | 43 | 6 | no | — |
| 343 | C4×2−1+4 | — | 43 | 2 | no | — |
| 344 | C2×C4×#41 | D43 | 1 | 1 | yes | characteristic, complemented |
| 345 | C2×C43 | — | 2 | 2 | no | — |
| 346 | C2×C43 | — | 4 | 6 | no | — |
| 347 | C2×C43 | C23×#41 | 1 | 1 | yes | characteristic |
| 348 | C2×C43 | C2×#585 | 1 | 1 | yes | characteristic |
| 349 | C2×C43 | C2×#585 | 1 | 1 | yes | characteristic |
| 350 | D43 | — | 4 | 8 | no | — |
| 351 | C2×2−1+4 | — | 43 | 2 | no | — |
| 352 | C22×#41 | C2×D43 | 1 | 1 | yes | characteristic |
| 353 | #559 | — | 43 | 24 | no | — |
| 354 | Q82 | — | 43 | 4 | no | — |
| 355 | #557 | — | 43 | 8 | no | — |
| 356 | #557 | — | 43 | 4 | no | — |
| 357 | #556 | — | 43 | 12 | no | — |
| 358 | #556 | — | 43 | 24 | no | — |
| 359 | #555 | — | 43 | 12 | no | — |
| 360 | #555 | — | 43 | 24 | no | — |
| 361 | #553 | — | 43 | 24 | no | — |
| 362 | #553 | — | 43 | 24 | no | — |
| 363 | #552 | — | 43 | 24 | no | — |
| 364 | #550 | — | 43 | 8 | no | — |
| 365 | #550 | — | 43 | 8 | no | — |
| 366 | #550 | — | 43 | 4 | no | — |
| 367 | #550 | — | 43 | 12 | no | — |
| 368 | D4×Q8 | — | 43 | 4 | no | — |
| 369 | #548 | — | 43 | 8 | no | — |
| 370 | #548 | — | 43 | 8 | no | — |
| 371 | #548 | — | 43 | 8 | no | — |
| 372 | #547 | — | 43 | 12 | no | — |
| 373 | #544 | — | 43 | 6 | no | — |
| 374 | #542 | — | 43 | 24 | no | — |
| 375 | #540 | — | 43 | 24 | no | — |
| 376 | #538 | — | 43 | 24 | no | — |
| 377 | #537 | — | 43 | 6 | no | — |
| 378 | #535 | — | 43 | 12 | no | — |
| 379 | #533 | — | 43 | 6 | no | — |
| 380 | #533 | — | 43 | 6 | no | — |
| 381 | #533 | — | 43 | 6 | no | — |
| 382 | #532 | — | 43 | 24 | no | — |
| 383 | #532 | — | 43 | 6 | no | — |
| 384 | #532 | — | 43 | 6 | no | — |
| 385 | #532 | — | 43 | 6 | no | — |
| 386 | #529 | — | 43 | 24 | no | — |
| 387 | #529 | — | 43 | 4 | no | — |
| 388 | #529 | — | 43 | 12 | no | — |
| 389 | #529 | — | 43 | 12 | no | — |
| 390 | #529 | — | 43 | 12 | no | — |
| 391 | #529 | — | 43 | 12 | no | — |
| 392 | #529 | — | 43 | 12 | no | — |
| 393 | #525 | — | 43 | 12 | no | — |
| 394 | #525 | — | 43 | 12 | no | — |
| 395 | #525 | — | 43 | 12 | no | — |
| 396 | #520 | — | 43 | 8 | no | — |
| 397 | #520 | — | 43 | 12 | no | — |
| 398 | #519 | — | 43 | 2 | no | — |
| 399 | #519 | — | 43 | 8 | no | — |
| 400 | C4×#41 | — | 43 | 8 | no | — |
| 401 | C4×#41 | — | 43 | 12 | no | — |
| 402 | C4×#41 | — | 43 | 12 | no | — |
| 403 | C4×#41 | — | 43 | 12 | no | — |
| 404 | C4×#41 | C2×D43 | 1 | 4 | yes | — |
| 405 | C4×#41 | C2×D43 | 1 | 4 | yes | — |
| 406 | C4×#41 | C2×D43 | 1 | 4 | yes | — |
| 407 | C4×#41 | C2×D43 | 1 | 4 | yes | — |
| 408 | C2×C4×Q8 | — | 43 | 8 | no | — |
| 409 | C2×C4×Q8 | C2×D43 | 1 | 1 | yes | characteristic |
| 410 | C2×C4×Q8 | C2×D43 | 1 | 1 | yes | characteristic |
| 411 | C2×C4×D4 | C2×D43 | 1 | 3 | yes | — |
| 412 | C2×C4×D4 | C2×D43 | 1 | 3 | yes | — |
| 413 | C2×#117 | C2×D43 | 1 | 3 | yes | — |
| 414 | C22×C42 | C2×D43 | 1 | 3 | yes | — |
| 415 | C43 | #62793 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 416 | 2−1+4 | — | 86 | 16 | no | — |
| 417 | C2×#41 | — | 2 | 8 | no | — |
| 418 | C2×#41 | — | 43 | 8 | no | — |
| 419 | C2×#41 | — | 43 | 12 | no | — |
| 420 | C2×#41 | — | 43 | 12 | no | — |
| 421 | C2×#41 | — | 43 | 12 | no | — |
| 422 | C2×#41 | C22×D43 | 1 | 4 | yes | — |
| 423 | C2×#41 | C22×D43 | 1 | 4 | yes | — |
| 424 | C22×Q8 | — | 43 | 8 | no | — |
| 425 | C22×Q8 | C22×D43 | 1 | 1 | yes | characteristic |
| 426 | C22×D4 | C22×D43 | 1 | 3 | yes | — |
| 427 | C23×C4 | C22×D43 | 1 | 3 | yes | — |
| 428 | C23×C4 | C22×D43 | 1 | 3 | yes | — |
| 429 | C23×C4 | C22×D43 | 1 | 3 | yes | — |
| 430 | C4⋊Q8 | — | 43 | 24 | no | — |
| 431 | C4⋊Q8 | — | 43 | 6 | no | — |
| 432 | C4⋊Q8 | — | 43 | 6 | no | — |
| 433 | C4⋊Q8 | — | 43 | 6 | no | — |
| 434 | #127 | — | 43 | 24 | no | — |
| 435 | #127 | — | 43 | 6 | no | — |
| 436 | #126 | — | 43 | 48 | no | — |
| 437 | #126 | — | 43 | 8 | no | — |
| 438 | #126 | — | 43 | 24 | no | — |
| 439 | #125 | — | 43 | 24 | no | — |
| 440 | #125 | — | 43 | 4 | no | — |
| 441 | #125 | — | 43 | 12 | no | — |
| 442 | #125 | — | 43 | 12 | no | — |
| 443 | #124 | — | 43 | 24 | no | — |
| 444 | #124 | — | 43 | 48 | no | — |
| 445 | #124 | — | 43 | 4 | no | — |
| 446 | #124 | — | 43 | 12 | no | — |
| 447 | #124 | — | 43 | 12 | no | — |
| 448 | #123 | — | 43 | 8 | no | — |
| 449 | #123 | — | 43 | 24 | no | — |
| 450 | #123 | — | 43 | 24 | no | — |
| 451 | #123 | — | 43 | 48 | no | — |
| 452 | C22⋊Q8 | — | 43 | 4 | no | — |
| 453 | C22⋊Q8 | — | 43 | 12 | no | — |
| 454 | C22⋊Q8 | — | 43 | 12 | no | — |
| 455 | C22⋊Q8 | — | 43 | 12 | no | — |
| 456 | C22⋊Q8 | — | 43 | 12 | no | — |
| 457 | C22⋊Q8 | — | 43 | 12 | no | — |
| 458 | C22⋊Q8 | — | 43 | 24 | no | — |
| 459 | #121 | — | 43 | 24 | no | — |
| 460 | #121 | — | 43 | 24 | no | — |
| 461 | #121 | — | 43 | 4 | no | — |
| 462 | #121 | — | 43 | 12 | no | — |
| 463 | #121 | — | 43 | 12 | no | — |
| 464 | #121 | — | 43 | 12 | no | — |
| 465 | #121 | — | 43 | 12 | no | — |
| 466 | #121 | — | 43 | 12 | no | — |
| 467 | #121 | — | 43 | 24 | no | — |
| 468 | #121 | — | 43 | 48 | no | — |
| 469 | #120 | — | 43 | 24 | no | — |
| 470 | C4×Q8 | — | 43 | 8 | no | — |
| 471 | C4×Q8 | — | 43 | 8 | no | — |
| 472 | C4×Q8 | — | 43 | 24 | no | — |
| 473 | C4×Q8 | — | 43 | 12 | no | — |
| 474 | C4×Q8 | — | 43 | 4 | no | — |
| 475 | C4×Q8 | — | 43 | 12 | no | — |
| 476 | C4×Q8 | — | 43 | 12 | no | — |
| 477 | C4×Q8 | — | 43 | 12 | no | — |
| 478 | C4×Q8 | — | 43 | 12 | no | — |
| 479 | C4×Q8 | C22×D43 | 1 | 4 | yes | — |
| 480 | C4×Q8 | C22×D43 | 1 | 4 | yes | — |
| 481 | C4×Q8 | C22×D43 | 1 | 4 | yes | — |
| 482 | C4×Q8 | C22×D43 | 1 | 4 | yes | — |
| 483 | C4×D4 | — | 43 | 8 | no | — |
| 484 | C4×D4 | — | 43 | 24 | no | — |
| 485 | C4×D4 | — | 43 | 24 | no | — |
| 486 | C4×D4 | — | 43 | 24 | no | — |
| 487 | C4×D4 | — | 43 | 24 | no | — |
| 488 | C4×D4 | — | 43 | 24 | no | — |
| 489 | C4×D4 | — | 43 | 24 | no | — |
| 490 | C4×D4 | — | 43 | 12 | no | — |
| 491 | C4×D4 | — | 43 | 4 | no | — |
| 492 | C4×D4 | — | 43 | 12 | no | — |
| 493 | C4×D4 | — | 43 | 12 | no | — |
| 494 | C4×D4 | — | 43 | 12 | no | — |
| 495 | C4×D4 | — | 43 | 12 | no | — |
| 496 | C4×D4 | C22×D43 | 1 | 12 | yes | — |
| 497 | C4×D4 | C22×D43 | 1 | 12 | yes | — |
| 498 | C4×D4 | C22×D43 | 1 | 12 | yes | — |
| 499 | C4×D4 | C22×D43 | 1 | 12 | yes | — |
| 500 | #117 | — | 43 | 12 | no | — |
| 501 | #117 | — | 43 | 12 | no | — |
| 502 | #117 | — | 43 | 12 | no | — |
| 503 | #117 | — | 43 | 24 | no | — |
| 504 | #117 | — | 43 | 8 | no | — |
| 505 | #117 | — | 43 | 24 | no | — |
| 506 | #117 | — | 43 | 24 | no | — |
| 507 | #117 | C22×D43 | 1 | 12 | yes | — |
| 508 | #117 | C22×D43 | 1 | 12 | yes | — |
| 509 | C2×C4⋊C4 | — | 43 | 24 | no | — |
| 510 | C2×C4⋊C4 | C22×D43 | 1 | 3 | yes | — |
| 511 | C2×C4⋊C4 | C22×D43 | 1 | 3 | yes | — |
| 512 | C2×C22⋊C4 | C22×D43 | 1 | 6 | yes | — |
| 513 | C2×C42 | — | 43 | 24 | no | — |
| 514 | C2×C42 | C22×D43 | 1 | 3 | yes | — |
| 515 | C2×C42 | C22×D43 | 1 | 3 | yes | — |
| 516 | C2×C42 | C22×D43 | 1 | 3 | yes | — |
| 517 | C2×C42 | C22×D43 | 1 | 6 | yes | — |
| 518 | C2×C42 | C22×D43 | 1 | 6 | yes | — |
| 519 | C2×C42 | C22×D43 | 1 | 6 | yes | — |
| 520 | C2×C42 | C22×D43 | 1 | 6 | yes | — |
| 521 | C2×C42 | C22×D43 | 1 | 1 | yes | characteristic |
| 522 | C24 | C23×D43 | 1 | 3 | yes | — |
| 523 | #41 | — | 2 | 16 | no | — |
| 524 | #41 | — | 2 | 16 | no | — |
| 525 | #41 | — | 86 | 32 | no | — |
| 526 | #41 | — | 86 | 48 | no | — |
| 527 | #41 | — | 172 | 24 | no | — |
| 528 | #41 | — | 172 | 24 | no | — |
| 529 | C2×Q8 | — | 43 | 12 | no | — |
| 530 | C2×Q8 | — | 43 | 4 | no | — |
| 531 | C2×Q8 | — | 43 | 12 | no | — |
| 532 | C2×Q8 | — | 86 | 32 | no | — |
| 533 | C2×Q8 | #10621898 | 1 | 8 | yes | complemented |
| 534 | C2×Q8 | C23×D43 | 1 | 4 | yes | — |
| 535 | C2×D4 | — | 2 | 12 | no | — |
| 536 | C2×D4 | — | 43 | 8 | no | — |
| 537 | C2×D4 | — | 43 | 24 | no | — |
| 538 | C2×D4 | — | 43 | 24 | no | — |
| 539 | C2×D4 | — | 43 | 12 | no | — |
| 540 | C2×D4 | — | 43 | 4 | no | — |
| 541 | C2×D4 | — | 43 | 12 | no | — |
| 542 | C2×D4 | C23×D43 | 1 | 12 | yes | — |
| 543 | C22×C4 | — | 2 | 12 | no | — |
| 544 | C22×C4 | — | 4 | 6 | no | — |
| 545 | C22×C4 | — | 4 | 6 | no | — |
| 546 | C22×C4 | — | 43 | 24 | no | — |
| 547 | C22×C4 | — | 43 | 8 | no | — |
| 548 | C22×C4 | — | 43 | 24 | no | — |
| 549 | C22×C4 | C23×D43 | 1 | 1 | yes | characteristic |
| 550 | C22×C4 | C23×D43 | 1 | 1 | yes | characteristic |
| 551 | C22×C4 | C23×D43 | 1 | 6 | yes | — |
| 552 | C22×C4 | C23×D43 | 1 | 6 | yes | — |
| 553 | C22×C4 | C23×D43 | 1 | 6 | yes | — |
| 554 | C22×C4 | C23×D43 | 1 | 1 | yes | characteristic |
| 555 | C22×C4 | C23×D43 | 1 | 6 | yes | — |
| 556 | C22×C4 | C23×D43 | 1 | 3 | yes | — |
| 557 | C22×C4 | C23×D43 | 1 | 3 | yes | — |
| 558 | C22×C4 | C23×D43 | 1 | 6 | yes | — |
| 559 | C22×C4 | C23×D43 | 1 | 6 | yes | — |
| 560 | C22×C4 | C23×D43 | 1 | 3 | yes | — |
| 561 | C4⋊C4 | — | 43 | 12 | no | — |
| 562 | C4⋊C4 | — | 43 | 24 | no | — |
| 563 | C4⋊C4 | — | 43 | 4 | no | — |
| 564 | C4⋊C4 | — | 43 | 8 | no | — |
| 565 | C4⋊C4 | — | 43 | 12 | no | — |
| 566 | C4⋊C4 | — | 43 | 4 | no | — |
| 567 | C4⋊C4 | — | 43 | 8 | no | — |
| 568 | C4⋊C4 | — | 43 | 8 | no | — |
| 569 | C4⋊C4 | — | 43 | 8 | no | — |
| 570 | C4⋊C4 | — | 43 | 24 | no | — |
| 571 | C4⋊C4 | — | 43 | 12 | no | — |
| 572 | C4⋊C4 | — | 43 | 12 | no | — |
| 573 | C4⋊C4 | C23×D43 | 1 | 12 | yes | — |
| 574 | C4⋊C4 | C23×D43 | 1 | 12 | yes | — |
| 575 | C22⋊C4 | — | 43 | 8 | no | — |
| 576 | C22⋊C4 | — | 43 | 24 | no | — |
| 577 | C22⋊C4 | — | 43 | 24 | no | — |
| 578 | C22⋊C4 | — | 43 | 8 | no | — |
| 579 | C22⋊C4 | — | 43 | 24 | no | — |
| 580 | C22⋊C4 | — | 43 | 8 | no | — |
| 581 | C22⋊C4 | — | 43 | 8 | no | — |
| 582 | C22⋊C4 | — | 43 | 8 | no | — |
| 583 | C22⋊C4 | — | 43 | 24 | no | — |
| 584 | C22⋊C4 | C23×D43 | 1 | 24 | yes | — |
| 585 | C42 | — | 43 | 24 | no | — |
| 586 | C42 | — | 43 | 24 | no | — |
| 587 | C42 | — | 43 | 8 | no | — |
| 588 | C42 | C23×D43 | 1 | 1 | yes | characteristic |
| 589 | C42 | C23×D43 | 1 | 1 | yes | characteristic |
| 590 | C42 | C23×D43 | 1 | 6 | yes | — |
| 591 | C42 | C23×D43 | 1 | 6 | yes | — |
| 592 | C42 | C23×D43 | 1 | 6 | yes | — |
| 593 | C42 | C23×D43 | 1 | 6 | yes | — |
| 594 | C42 | C23×D43 | 1 | 6 | yes | — |
| 595 | C42 | C23×D43 | 1 | 6 | yes | — |
| 596 | C42 | C23×D43 | 1 | 1 | yes | characteristic |
| 597 | C42 | C23×D43 | 1 | 1 | yes | characteristic |
| 598 | C23 | — | 2 | 6 | no | — |
| 599 | C23 | — | 4 | 3 | no | — |
| 600 | C23 | — | 4 | 3 | no | — |
| 601 | C23 | — | 43 | 8 | no | — |
| 602 | C23 | C24×D43 | 1 | 6 | yes | — |
| 603 | C23 | C24×D43 | 1 | 1 | yes | characteristic |
| 604 | Q8 | — | 86 | 24 | no | — |
| 605 | Q8 | — | 86 | 8 | no | — |
| 606 | Q8 | — | 172 | 12 | no | — |
| 607 | Q8 | C2×#10621898 | 1 | 16 | yes | — |
| 608 | D4 | — | 2 | 24 | no | — |
| 609 | D4 | — | 86 | 16 | no | — |
| 610 | D4 | — | 86 | 24 | no | — |
| 611 | D4 | — | 86 | 8 | no | — |
| 612 | D4 | — | 172 | 12 | no | — |
| 613 | D4 | — | 172 | 24 | no | — |
| 614 | D4 | — | 172 | 24 | no | — |
| 615 | C2×C4 | — | 2 | 2 | no | — |
| 616 | C2×C4 | — | 2 | 12 | no | — |
| 617 | C2×C4 | — | 2 | 12 | no | — |
| 618 | C2×C4 | — | 2 | 2 | no | — |
| 619 | C2×C4 | — | 2 | 2 | no | — |
| 620 | C2×C4 | — | 2 | 12 | no | — |
| 621 | C2×C4 | — | 2 | 12 | no | — |
| 622 | C2×C4 | — | 4 | 6 | no | — |
| 623 | C2×C4 | — | 4 | 6 | no | — |
| 624 | C2×C4 | — | 4 | 3 | no | — |
| 625 | C2×C4 | — | 4 | 3 | no | — |
| 626 | C2×C4 | — | 43 | 8 | no | — |
| 627 | C2×C4 | — | 43 | 8 | no | — |
| 628 | C2×C4 | — | 43 | 8 | no | — |
| 629 | C2×C4 | — | 86 | 48 | no | — |
| 630 | C2×C4 | — | 86 | 16 | no | — |
| 631 | C2×C4 | — | 172 | 24 | no | — |
| 632 | C2×C4 | C2×#10621898 | 1 | 12 | yes | — |
| 633 | C2×C4 | C24×D43 | 1 | 6 | yes | — |
| 634 | C2×C4 | C24×D43 | 1 | 1 | yes | characteristic |
| 635 | C2×C4 | C24×D43 | 1 | 1 | yes | characteristic |
| 636 | C2×C4 | C24×D43 | 1 | 1 | yes | characteristic |
| 637 | C2×C4 | C24×D43 | 1 | 1 | yes | characteristic |
| 638 | C2×C4 | C24×D43 | 1 | 6 | yes | — |
| 639 | C2×C4 | C24×D43 | 1 | 6 | yes | — |
| 640 | C2×C4 | C24×D43 | 1 | 1 | yes | characteristic |
| 641 | C2×C4 | C24×D43 | 1 | 1 | yes | characteristic |
| 642 | C22 | — | 2 | 1 | no | — |
| 643 | C22 | — | 2 | 1 | no | — |
| 644 | C22 | — | 2 | 6 | no | — |
| 645 | C22 | — | 2 | 6 | no | — |
| 646 | C22 | — | 2 | 6 | no | — |
| 647 | C22 | — | 4 | 12 | no | — |
| 648 | C22 | — | 86 | 8 | no | — |
| 649 | C22 | — | 86 | 8 | no | — |
| 650 | C22 | — | 86 | 8 | no | — |
| 651 | C22 | C22×#10621898 | 1 | 2 | yes | — |
| 652 | C22 | C25×D43 | 1 | 1 | yes | characteristic |
| 653 | C4 | — | 2 | 1 | no | — |
| 654 | C4 | — | 2 | 1 | no | — |
| 655 | C4 | — | 2 | 1 | no | — |
| 656 | C4 | — | 2 | 1 | no | — |
| 657 | C4 | — | 2 | 6 | no | — |
| 658 | C4 | — | 2 | 6 | no | — |
| 659 | C4 | — | 86 | 8 | no | — |
| 660 | C4 | — | 86 | 8 | no | — |
| 661 | C4 | — | 86 | 8 | no | — |
| 662 | C4 | C22×#10621898 | 1 | 12 | yes | — |
| 663 | C4 | #14583735 | 1 | 2 | yes | — |
| 664 | C4 | #14583735 | 1 | 2 | yes | — |
| 665 | C2 | — | 2 | 2 | no | — |
| 666 | C2 | — | 4 | 6 | no | — |
| 667 | C2 | — | 172 | 8 | no | — |
| 668 | C2 | C23×#10621898 | 1 | 1 | yes | characteristic |
| 669 | C2 | C2×#14583735 | 1 | 1 | yes | characteristic |
| 670 | C2 | C2×#14583735 | 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