← #25961297
Subgroups — #25961297
Order 11008.
1950 conjugacy classes of subgroups.
The subgroup lattice has 440 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #19148190 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #19143614 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #19143598 | C2 | 1 | 6 | yes | maximal, complemented |
| 4 | #19143572 | C2 | 1 | 6 | yes | maximal, complemented |
| 5 | C8×#10621902 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | Q8×#10621877 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #19143338 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | #19143308 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | #19143260 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | C4×#13063331 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | C2×C8×Q8×C43 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C2×#13063331 | C22 | 1 | 3 | yes | — |
| 13 | C2×#13063331 | C22 | 1 | 3 | yes | — |
| 14 | #14583634 | C4 | 1 | 3 | yes | — |
| 15 | #14583628 | C4 | 1 | 1 | yes | characteristic |
| 16 | #14583622 | C4 | 1 | 3 | yes | — |
| 17 | #14583597 | C4 | 1 | 6 | yes | — |
| 18 | #14583571 | C4 | 1 | 1 | yes | characteristic |
| 19 | #14583560 | C4 | 1 | 2 | yes | — |
| 20 | #14583449 | C22 | 1 | 3 | yes | — |
| 21 | #14583436 | C22 | 1 | 6 | yes | — |
| 22 | C4×#10621902 | C22 | 1 | 2 | yes | — |
| 23 | C4×#10621898 | C22 | 1 | 3 | yes | — |
| 24 | #14583030 | C22 | 1 | 6 | yes | — |
| 25 | Q8×C43⋊C8 | C22 | 1 | 2 | yes | — |
| 26 | #14582978 | C22 | 1 | 6 | yes | — |
| 27 | #14582978 | C22 | 1 | 6 | yes | — |
| 28 | #14582976 | C22 | 1 | 6 | yes | — |
| 29 | #14582969 | C22 | 1 | 12 | yes | — |
| 30 | C8×D172 | C22 | 1 | 6 | yes | — |
| 31 | C8×D172 | C22 | 1 | 6 | yes | — |
| 32 | #14582964 | C22 | 1 | 6 | yes | — |
| 33 | #14582959 | C22 | 1 | 12 | yes | — |
| 34 | #14582955 | C22 | 1 | 6 | yes | — |
| 35 | #14582951 | C22 | 1 | 6 | yes | — |
| 36 | #14582923 | C22 | 1 | 3 | yes | — |
| 37 | #14582865 | C22 | 1 | 6 | yes | — |
| 38 | #14582854 | C22 | 1 | 3 | yes | — |
| 39 | #14582854 | C22 | 1 | 1 | yes | characteristic |
| 40 | #14582853 | C22 | 1 | 6 | yes | — |
| 41 | #14582853 | C22 | 1 | 6 | yes | — |
| 42 | C4×#10621877 | C22 | 1 | 3 | yes | — |
| 43 | C4×#10621872 | C22 | 1 | 6 | yes | — |
| 44 | C4×C8×D43 | C22 | 1 | 6 | yes | — |
| 45 | C2×C4×Q8×C43 | C22 | 1 | 1 | yes | characteristic |
| 46 | C8×Q8×C43 | C22 | 1 | 1 | yes | characteristic |
| 47 | C8×Q8×C43 | C22 | 1 | 3 | yes | — |
| 48 | C8×Q8×C43 | C22 | 1 | 3 | yes | — |
| 49 | C8×Q8×C43 | C22 | 1 | 1 | yes | characteristic |
| 50 | C2×C4⋊C8×C43 | C22 | 1 | 3 | yes | — |
| 51 | C2×C4×C8×C43 | C22 | 1 | 3 | yes | — |
| 52 | C2×#10621902 | C2×C4 | 1 | 2 | yes | — |
| 53 | C2×#10621898 | C23 | 1 | 3 | yes | — |
| 54 | #13063331 | — | 2 | 12 | no | — |
| 55 | #13063331 | — | 2 | 12 | no | — |
| 56 | C2×#10621877 | C23 | 1 | 3 | yes | — |
| 57 | C2×#10621877 | C23 | 1 | 1 | yes | characteristic |
| 58 | C2×#10621872 | C23 | 1 | 6 | yes | — |
| 59 | C2×#10621872 | C23 | 1 | 6 | yes | — |
| 60 | C2×C8×D43 | C23 | 1 | 6 | yes | — |
| 61 | C2×C8×D43 | C23 | 1 | 6 | yes | — |
| 62 | #13063325 | C2×C4 | 1 | 3 | yes | — |
| 63 | #13063322 | C2×C4 | 1 | 3 | yes | — |
| 64 | #13063320 | C2×C4 | 1 | 12 | yes | — |
| 65 | #13063316 | C2×C4 | 1 | 6 | yes | — |
| 66 | #13063314 | C2×C4 | 1 | 6 | yes | — |
| 67 | #13063313 | C2×C4 | 1 | 6 | yes | — |
| 68 | #13063310 | C2×C4 | 1 | 12 | yes | — |
| 69 | #13063301 | C2×C4 | 1 | 6 | yes | — |
| 70 | #13063300 | C2×C4 | 1 | 6 | yes | — |
| 71 | #13063299 | C2×C4 | 1 | 6 | yes | — |
| 72 | #13063299 | C2×C4 | 1 | 6 | yes | — |
| 73 | Q8×Dic43 | C2×C4 | 1 | 2 | yes | — |
| 74 | C4×Dic86 | C2×C4 | 1 | 3 | yes | — |
| 75 | C4×Dic86 | C2×C4 | 1 | 3 | yes | — |
| 76 | C4×D172 | C2×C4 | 1 | 3 | yes | — |
| 77 | C4×D172 | C2×C4 | 1 | 3 | yes | — |
| 78 | C4×D172 | C23 | 1 | 6 | yes | — |
| 79 | C4×D172 | C23 | 1 | 6 | yes | — |
| 80 | #13063287 | C2×C4 | 1 | 6 | yes | — |
| 81 | C4×C22⋊D43 | C2×C4 | 1 | 6 | yes | — |
| 82 | C4×C22⋊D43 | C2×C4 | 1 | 6 | yes | — |
| 83 | #13063284 | C23 | 1 | 1 | yes | characteristic |
| 84 | #13063283 | C2×C4 | 1 | 6 | yes | — |
| 85 | #13063282 | C23 | 1 | 6 | yes | — |
| 86 | C42×D43 | C23 | 1 | 6 | yes | — |
| 87 | C4⋊(C43⋊C8) | C23 | 1 | 6 | yes | — |
| 88 | C4⋊(C43⋊C8) | C23 | 1 | 6 | yes | — |
| 89 | (C2×D43)⋊C8 | C23 | 1 | 12 | yes | — |
| 90 | (C2×D43)⋊C8 | C23 | 1 | 12 | yes | — |
| 91 | #13063236 | C23 | 1 | 6 | yes | — |
| 92 | #13063235 | C23 | 1 | 2 | yes | — |
| 93 | #13063235 | C23 | 1 | 6 | yes | — |
| 94 | C4×C43⋊C8 | C23 | 1 | 6 | yes | — |
| 95 | C8×Dic43 | C23 | 1 | 2 | yes | — |
| 96 | C8×Dic43 | C23 | 1 | 6 | yes | — |
| 97 | C22×Q8×C43 | C2×C4 | 1 | 1 | yes | characteristic |
| 98 | C22×C8×C43 | C23 | 1 | 3 | yes | — |
| 99 | C22×C8×C43 | C23 | 1 | 1 | yes | characteristic |
| 100 | C4×Q8×C43 | C2×C4 | 1 | 1 | yes | characteristic |
| 101 | C4×Q8×C43 | C2×C4 | 1 | 3 | yes | — |
| 102 | C4×Q8×C43 | C23 | 1 | 1 | yes | characteristic |
| 103 | C4×Q8×C43 | C23 | 1 | 3 | yes | — |
| 104 | C2×C4⋊C4×C43 | C2×C4 | 1 | 3 | yes | — |
| 105 | C2×C42×C43 | C23 | 1 | 3 | yes | — |
| 106 | C4⋊C8×C43 | C23 | 1 | 3 | yes | — |
| 107 | C4⋊C8×C43 | C23 | 1 | 3 | yes | — |
| 108 | C4⋊C8×C43 | C23 | 1 | 6 | yes | — |
| 109 | C4×C8×C43 | C23 | 1 | 3 | yes | — |
| 110 | C4×C8×C43 | C23 | 1 | 3 | yes | — |
| 111 | C4×C8×C43 | C23 | 1 | 3 | yes | — |
| 112 | C4×C8×C43 | C23 | 1 | 3 | yes | — |
| 113 | C2×Q8×C43 | — | 2 | 4 | no | — |
| 114 | C2×Q8×C43 | C22×C4 | 1 | 3 | yes | — |
| 115 | C2×Q8×C43 | C22×C4 | 1 | 1 | yes | characteristic |
| 116 | C22×C4×C43 | C22×C4 | 1 | 3 | yes | — |
| 117 | C22×C4×C43 | C22×C4 | 1 | 3 | yes | — |
| 118 | C22×C4×C43 | C24 | 1 | 1 | yes | characteristic |
| 119 | C2×C22⋊D43 | C22×C4 | 1 | 6 | yes | — |
| 120 | #10621902 | — | 2 | 8 | no | — |
| 121 | #10621898 | — | 2 | 6 | no | — |
| 122 | #10621898 | — | 2 | 6 | no | — |
| 123 | C2×D172 | C22×C4 | 1 | 6 | yes | — |
| 124 | C2×D172 | C22×C4 | 1 | 3 | yes | — |
| 125 | C2×D172 | C22×C4 | 1 | 6 | yes | — |
| 126 | C2×C4×D43 | C22×C4 | 1 | 6 | yes | — |
| 127 | C2×C4×D43 | C22×C4 | 1 | 6 | yes | — |
| 128 | C2×C4×D43 | C24 | 1 | 6 | yes | — |
| 129 | C2×Dic86 | C22×C4 | 1 | 3 | yes | — |
| 130 | C2×C8×C43 | — | 2 | 6 | no | — |
| 131 | C2×C8×C43 | #41 | 1 | 4 | yes | complemented |
| 132 | C2×C8×C43 | C24 | 1 | 3 | yes | — |
| 133 | C2×C8×C43 | C24 | 1 | 3 | yes | — |
| 134 | C2×C8×C43 | C24 | 1 | 1 | yes | characteristic |
| 135 | C2×C8×C43 | C24 | 1 | 1 | yes | characteristic |
| 136 | C4⋊C4×C43 | C22×C4 | 1 | 3 | yes | — |
| 137 | C4⋊C4×C43 | C22×C4 | 1 | 3 | yes | — |
| 138 | C4⋊C4×C43 | C22×C4 | 1 | 6 | yes | — |
| 139 | C42×C43 | C22×C4 | 1 | 3 | yes | — |
| 140 | C42×C43 | C22×C4 | 1 | 3 | yes | — |
| 141 | C42×C43 | C24 | 1 | 3 | yes | — |
| 142 | C42×C43 | C24 | 1 | 3 | yes | — |
| 143 | C22⋊Dic43 | C22×C4 | 1 | 2 | yes | — |
| 144 | (C2×D43)⋊C4 | C22×C4 | 1 | 6 | yes | — |
| 145 | (C2×D43)⋊C4 | C22×C4 | 1 | 6 | yes | — |
| 146 | (C2×D43)⋊C4 | C22×C4 | 1 | 12 | yes | — |
| 147 | (C2×D43)⋊C4 | C22×C4 | 1 | 12 | yes | — |
| 148 | C4⋊Dic43 | C22×C4 | 1 | 6 | yes | — |
| 149 | C4⋊Dic43 | C22×C4 | 1 | 1 | yes | characteristic |
| 150 | C4⋊Dic43 | C22×C4 | 1 | 1 | yes | characteristic |
| 151 | C4⋊Dic43 | C22×C4 | 1 | 6 | yes | — |
| 152 | Dic43⋊C4 | C22×C4 | 1 | 6 | yes | — |
| 153 | Dic43⋊C4 | C22×C4 | 1 | 6 | yes | — |
| 154 | C4×Dic43 | C22×C4 | 1 | 6 | yes | — |
| 155 | C4×Dic43 | C22×C4 | 1 | 6 | yes | — |
| 156 | C4×Dic43 | C24 | 1 | 2 | yes | — |
| 157 | #10621877 | — | 2 | 6 | no | — |
| 158 | #10621877 | #41 | 1 | 4 | yes | complemented |
| 159 | C2×C43⋊C8 | C24 | 1 | 6 | yes | — |
| 160 | C2×C43⋊C8 | C24 | 1 | 2 | yes | — |
| 161 | #10621872 | — | 2 | 12 | no | — |
| 162 | #10621872 | — | 2 | 12 | no | — |
| 163 | C8×D43 | — | 2 | 12 | no | — |
| 164 | C8×D43 | — | 2 | 12 | no | — |
| 165 | C23×C43 | C23×C4 | 1 | 1 | yes | characteristic |
| 166 | C22×D43 | C23×C4 | 1 | 6 | yes | — |
| 167 | Q8×C43 | — | 2 | 6 | no | — |
| 168 | Q8×C43 | #131 | 1 | 4 | yes | complemented |
| 169 | C2×C4×C43 | — | 2 | 6 | no | — |
| 170 | C2×C4×C43 | — | 4 | 3 | no | — |
| 171 | C2×C4×C43 | C23×C4 | 1 | 3 | yes | — |
| 172 | C2×C4×C43 | C23×C4 | 1 | 3 | yes | — |
| 173 | C2×C4×C43 | C23×C4 | 1 | 3 | yes | — |
| 174 | C2×C4×C43 | C23×C4 | 1 | 1 | yes | characteristic |
| 175 | C2×C4×C43 | C23×C4 | 1 | 3 | yes | — |
| 176 | C2×C4×C43 | C2×#41 | 1 | 2 | yes | — |
| 177 | C2×C4×C43 | C2×#41 | 1 | 2 | yes | — |
| 178 | C2×C4×C43 | C25 | 1 | 1 | yes | characteristic |
| 179 | C22⋊D43 | — | 2 | 12 | no | — |
| 180 | C2×Dic43 | C23×C4 | 1 | 2 | yes | — |
| 181 | C2×Dic43 | C23×C4 | 1 | 2 | yes | — |
| 182 | C2×Dic43 | C23×C4 | 1 | 6 | yes | — |
| 183 | D172 | — | 2 | 6 | no | — |
| 184 | D172 | — | 2 | 12 | no | — |
| 185 | D172 | — | 4 | 6 | no | — |
| 186 | C4×D43 | — | 2 | 12 | no | — |
| 187 | C4×D43 | — | 2 | 6 | no | — |
| 188 | C4×D43 | — | 2 | 6 | no | — |
| 189 | C4×D43 | — | 4 | 6 | no | — |
| 190 | Dic86 | — | 2 | 6 | no | — |
| 191 | C8×C43 | — | 2 | 3 | no | — |
| 192 | C8×C43 | — | 2 | 3 | no | — |
| 193 | C8×C43 | C2×#41 | 1 | 2 | yes | — |
| 194 | C8×C43 | C2×#41 | 1 | 2 | yes | — |
| 195 | C43⋊C8 | — | 2 | 6 | no | — |
| 196 | C43⋊C8 | C2×#41 | 1 | 4 | yes | — |
| 197 | #60218 | — | 43 | 1 | no | maximal, Sylow |
| 198 | C22×C43 | — | 2 | 1 | no | — |
| 199 | C22×C43 | — | 2 | 1 | no | — |
| 200 | C22×C43 | C4×#41 | 1 | 2 | yes | — |
| 201 | C22×C43 | C24×C4 | 1 | 1 | yes | characteristic |
| 202 | C2×D43 | — | 2 | 6 | no | — |
| 203 | C2×D43 | — | 2 | 6 | no | — |
| 204 | C2×D43 | — | 2 | 6 | no | — |
| 205 | C4×C43 | — | 2 | 3 | no | — |
| 206 | C4×C43 | — | 2 | 3 | no | — |
| 207 | C4×C43 | — | 2 | 3 | no | — |
| 208 | C4×C43 | C4×#41 | 1 | 2 | yes | — |
| 209 | C4×C43 | C2×#131 | 1 | 6 | yes | — |
| 210 | C4×C43 | C22×#41 | 1 | 1 | yes | characteristic |
| 211 | C4×C43 | C22×#41 | 1 | 1 | yes | characteristic |
| 212 | Dic43 | — | 2 | 6 | no | — |
| 213 | Dic43 | — | 2 | 2 | no | — |
| 214 | Dic43 | — | 2 | 2 | no | — |
| 215 | #3480 | — | 43 | 1 | no | — |
| 216 | #2971 | — | 43 | 2 | no | — |
| 217 | #2969 | — | 43 | 6 | no | — |
| 218 | #2966 | — | 43 | 6 | no | — |
| 219 | C8×#41 | — | 43 | 2 | no | — |
| 220 | Q8×M16 | — | 43 | 1 | no | — |
| 221 | C2×C8×Q8 | D43 | 1 | 1 | yes | characteristic, complemented |
| 222 | #2935 | — | 43 | 3 | no | — |
| 223 | #2931 | — | 43 | 3 | no | — |
| 224 | #2925 | — | 43 | 3 | no | — |
| 225 | C4×#131 | — | 43 | 3 | no | — |
| 226 | C2×C43 | — | 2 | 2 | no | — |
| 227 | C2×C43 | C2×C4×#41 | 1 | 1 | yes | characteristic |
| 228 | C2×C43 | C22×#131 | 1 | 1 | yes | characteristic |
| 229 | C2×C43 | #3573 | 1 | 1 | yes | characteristic |
| 230 | D43 | — | 4 | 6 | no | — |
| 231 | C2×#131 | — | 43 | 3 | no | — |
| 232 | C2×#131 | — | 43 | 3 | no | — |
| 233 | #559 | — | 43 | 3 | no | — |
| 234 | #557 | — | 43 | 1 | no | — |
| 235 | #556 | — | 43 | 3 | no | — |
| 236 | #553 | — | 43 | 6 | no | — |
| 237 | #550 | — | 43 | 1 | no | — |
| 238 | #548 | — | 43 | 2 | no | — |
| 239 | #532 | — | 43 | 3 | no | — |
| 240 | #529 | — | 43 | 6 | no | — |
| 241 | C4×#41 | — | 43 | 2 | no | — |
| 242 | C4×#41 | — | 43 | 3 | no | — |
| 243 | C2×C4×Q8 | C2×D43 | 1 | 1 | yes | characteristic |
| 244 | #446 | — | 43 | 6 | no | — |
| 245 | C8×Q8 | — | 43 | 2 | no | — |
| 246 | C8×Q8 | C2×D43 | 1 | 1 | yes | characteristic |
| 247 | C8×Q8 | C2×D43 | 1 | 3 | yes | — |
| 248 | C8×Q8 | C2×D43 | 1 | 3 | yes | — |
| 249 | C8×Q8 | C2×D43 | 1 | 1 | yes | characteristic |
| 250 | #436 | — | 43 | 6 | no | — |
| 251 | #436 | — | 43 | 6 | no | — |
| 252 | #436 | — | 43 | 6 | no | — |
| 253 | #435 | — | 43 | 12 | no | — |
| 254 | C8×D4 | — | 43 | 6 | no | — |
| 255 | C8×D4 | — | 43 | 6 | no | — |
| 256 | C8×D4 | — | 43 | 6 | no | — |
| 257 | #433 | — | 43 | 12 | no | — |
| 258 | #432 | — | 43 | 6 | no | — |
| 259 | #431 | — | 43 | 6 | no | — |
| 260 | #423 | — | 43 | 3 | no | — |
| 261 | C2×C4⋊C8 | C2×D43 | 1 | 3 | yes | — |
| 262 | #408 | — | 43 | 6 | no | — |
| 263 | #405 | — | 43 | 1 | no | — |
| 264 | #405 | — | 43 | 3 | no | — |
| 265 | #405 | — | 43 | 6 | no | — |
| 266 | #405 | — | 43 | 6 | no | — |
| 267 | C4×M16 | — | 43 | 3 | no | — |
| 268 | C4×M16 | — | 43 | 6 | no | — |
| 269 | C2×C4×C8 | — | 43 | 6 | no | — |
| 270 | C2×C4×C8 | C2×D43 | 1 | 3 | yes | — |
| 271 | C43 | #60218 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 272 | C2×#41 | — | 43 | 2 | no | — |
| 273 | C2×#41 | — | 43 | 3 | no | — |
| 274 | C22×Q8 | C4×D43 | 1 | 1 | yes | characteristic |
| 275 | #131 | — | 86 | 12 | no | — |
| 276 | #131 | — | 86 | 12 | no | — |
| 277 | C2×M16 | — | 43 | 1 | no | — |
| 278 | C2×M16 | — | 43 | 3 | no | — |
| 279 | C2×M16 | — | 43 | 6 | no | — |
| 280 | C2×M16 | — | 43 | 6 | no | — |
| 281 | C22×C8 | — | 43 | 6 | no | — |
| 282 | C22×C8 | — | 43 | 6 | no | — |
| 283 | C22×C8 | C22×D43 | 1 | 3 | yes | — |
| 284 | C22×C8 | C22×D43 | 1 | 1 | yes | characteristic |
| 285 | C4⋊Q8 | — | 43 | 3 | no | — |
| 286 | #127 | — | 43 | 3 | no | — |
| 287 | #126 | — | 43 | 12 | no | — |
| 288 | #125 | — | 43 | 6 | no | — |
| 289 | #124 | — | 43 | 6 | no | — |
| 290 | #124 | — | 43 | 6 | no | — |
| 291 | #123 | — | 43 | 12 | no | — |
| 292 | C22⋊Q8 | — | 43 | 6 | no | — |
| 293 | #121 | — | 43 | 6 | no | — |
| 294 | #121 | — | 43 | 6 | no | — |
| 295 | #121 | — | 43 | 6 | no | — |
| 296 | C4×Q8 | — | 43 | 2 | no | — |
| 297 | C4×Q8 | — | 43 | 3 | no | — |
| 298 | C4×Q8 | — | 43 | 3 | no | — |
| 299 | C4×Q8 | C4×D43 | 1 | 1 | yes | characteristic |
| 300 | C4×Q8 | C4×D43 | 1 | 3 | yes | — |
| 301 | C4×Q8 | C22×D43 | 1 | 1 | yes | characteristic |
| 302 | C4×Q8 | C22×D43 | 1 | 3 | yes | — |
| 303 | C4×D4 | — | 43 | 6 | no | — |
| 304 | C4×D4 | — | 43 | 6 | no | — |
| 305 | C4×D4 | — | 43 | 6 | no | — |
| 306 | C4×D4 | — | 43 | 3 | no | — |
| 307 | C4×D4 | — | 43 | 3 | no | — |
| 308 | C4×D4 | — | 43 | 6 | no | — |
| 309 | C4×D4 | — | 43 | 6 | no | — |
| 310 | #117 | — | 43 | 1 | no | — |
| 311 | #117 | — | 43 | 6 | no | — |
| 312 | #117 | — | 43 | 6 | no | — |
| 313 | C2×C4⋊C4 | C4×D43 | 1 | 3 | yes | — |
| 314 | C2×C42 | — | 43 | 6 | no | — |
| 315 | C2×C42 | C22×D43 | 1 | 3 | yes | — |
| 316 | C4⋊C8 | — | 43 | 6 | no | — |
| 317 | C4⋊C8 | — | 43 | 6 | no | — |
| 318 | C4⋊C8 | C22×D43 | 1 | 3 | yes | — |
| 319 | C4⋊C8 | C22×D43 | 1 | 3 | yes | — |
| 320 | C4⋊C8 | C22×D43 | 1 | 6 | yes | — |
| 321 | C22⋊C8 | — | 43 | 12 | no | — |
| 322 | C22⋊C8 | — | 43 | 12 | no | — |
| 323 | #97 | — | 43 | 2 | no | — |
| 324 | #97 | — | 43 | 6 | no | — |
| 325 | #97 | — | 43 | 6 | no | — |
| 326 | C4×C8 | — | 43 | 6 | no | — |
| 327 | C4×C8 | — | 43 | 2 | no | — |
| 328 | C4×C8 | — | 43 | 6 | no | — |
| 329 | C4×C8 | C22×D43 | 1 | 3 | yes | — |
| 330 | C4×C8 | C22×D43 | 1 | 3 | yes | — |
| 331 | C4×C8 | C22×D43 | 1 | 3 | yes | — |
| 332 | C4×C8 | C22×D43 | 1 | 3 | yes | — |
| 333 | #41 | — | 86 | 8 | no | — |
| 334 | #41 | — | 86 | 6 | no | — |
| 335 | #41 | — | 86 | 6 | no | — |
| 336 | C2×Q8 | — | 2 | 4 | no | — |
| 337 | C2×Q8 | — | 43 | 3 | no | — |
| 338 | C2×Q8 | C2×C4×D43 | 1 | 3 | yes | — |
| 339 | C2×Q8 | C2×C4×D43 | 1 | 1 | yes | characteristic |
| 340 | C2×D4 | — | 43 | 6 | no | — |
| 341 | C2×D4 | — | 43 | 6 | no | — |
| 342 | C2×D4 | — | 43 | 3 | no | — |
| 343 | C2×D4 | — | 43 | 6 | no | — |
| 344 | C22×C4 | — | 43 | 6 | no | — |
| 345 | C22×C4 | — | 43 | 6 | no | — |
| 346 | C22×C4 | — | 43 | 6 | no | — |
| 347 | C22×C4 | C2×C4×D43 | 1 | 3 | yes | — |
| 348 | C22×C4 | C2×C4×D43 | 1 | 3 | yes | — |
| 349 | C22×C4 | C23×D43 | 1 | 1 | yes | characteristic |
| 350 | M16 | — | 43 | 4 | no | — |
| 351 | M16 | — | 86 | 12 | no | — |
| 352 | M16 | — | 86 | 6 | no | — |
| 353 | M16 | — | 86 | 12 | no | — |
| 354 | C2×C8 | — | 2 | 6 | no | — |
| 355 | C2×C8 | — | 43 | 2 | no | — |
| 356 | C2×C8 | — | 43 | 6 | no | — |
| 357 | C2×C8 | — | 86 | 12 | no | — |
| 358 | C2×C8 | — | 86 | 12 | no | — |
| 359 | C2×C8 | #10621902 | 1 | 4 | yes | complemented |
| 360 | C2×C8 | C23×D43 | 1 | 3 | yes | — |
| 361 | C2×C8 | C23×D43 | 1 | 3 | yes | — |
| 362 | C2×C8 | C23×D43 | 1 | 1 | yes | characteristic |
| 363 | C2×C8 | C23×D43 | 1 | 1 | yes | characteristic |
| 364 | C4⋊C4 | — | 43 | 1 | no | — |
| 365 | C4⋊C4 | — | 43 | 1 | no | — |
| 366 | C4⋊C4 | — | 43 | 6 | no | — |
| 367 | C4⋊C4 | — | 43 | 6 | no | — |
| 368 | C4⋊C4 | — | 43 | 6 | no | — |
| 369 | C4⋊C4 | — | 43 | 6 | no | — |
| 370 | C4⋊C4 | C2×C4×D43 | 1 | 3 | yes | — |
| 371 | C4⋊C4 | C2×C4×D43 | 1 | 3 | yes | — |
| 372 | C4⋊C4 | C2×C4×D43 | 1 | 6 | yes | — |
| 373 | C22⋊C4 | — | 43 | 2 | no | — |
| 374 | C22⋊C4 | — | 43 | 6 | no | — |
| 375 | C22⋊C4 | — | 43 | 12 | no | — |
| 376 | C22⋊C4 | — | 43 | 6 | no | — |
| 377 | C22⋊C4 | — | 43 | 12 | no | — |
| 378 | C42 | — | 43 | 6 | no | — |
| 379 | C42 | — | 43 | 6 | no | — |
| 380 | C42 | — | 43 | 2 | no | — |
| 381 | C42 | C2×C4×D43 | 1 | 3 | yes | — |
| 382 | C42 | C2×C4×D43 | 1 | 3 | yes | — |
| 383 | C42 | C23×D43 | 1 | 3 | yes | — |
| 384 | C42 | C23×D43 | 1 | 3 | yes | — |
| 385 | C23 | — | 43 | 6 | no | — |
| 386 | C23 | C22×C4×D43 | 1 | 1 | yes | characteristic |
| 387 | Q8 | — | 2 | 6 | no | — |
| 388 | Q8 | — | 86 | 6 | no | — |
| 389 | Q8 | #13063331 | 1 | 4 | yes | complemented |
| 390 | D4 | — | 86 | 12 | no | — |
| 391 | D4 | — | 86 | 6 | no | — |
| 392 | D4 | — | 86 | 12 | no | — |
| 393 | D4 | — | 172 | 6 | no | — |
| 394 | C2×C4 | — | 2 | 6 | no | — |
| 395 | C2×C4 | — | 4 | 3 | no | — |
| 396 | C2×C4 | — | 43 | 2 | no | — |
| 397 | C2×C4 | — | 43 | 2 | no | — |
| 398 | C2×C4 | — | 43 | 6 | no | — |
| 399 | C2×C4 | — | 86 | 12 | no | — |
| 400 | C2×C4 | — | 86 | 6 | no | — |
| 401 | C2×C4 | — | 86 | 6 | no | — |
| 402 | C2×C4 | — | 172 | 6 | no | — |
| 403 | C2×C4 | C22×C4×D43 | 1 | 3 | yes | — |
| 404 | C2×C4 | C22×C4×D43 | 1 | 3 | yes | — |
| 405 | C2×C4 | C22×C4×D43 | 1 | 3 | yes | — |
| 406 | C2×C4 | C22×C4×D43 | 1 | 1 | yes | characteristic |
| 407 | C2×C4 | C22×C4×D43 | 1 | 3 | yes | — |
| 408 | C2×C4 | #41×D43 | 1 | 2 | yes | — |
| 409 | C2×C4 | C2×#10621902 | 1 | 2 | yes | — |
| 410 | C2×C4 | C24×D43 | 1 | 1 | yes | characteristic |
| 411 | C8 | — | 2 | 3 | no | — |
| 412 | C8 | — | 2 | 3 | no | — |
| 413 | C8 | — | 43 | 4 | no | — |
| 414 | C8 | — | 86 | 6 | no | — |
| 415 | C8 | C2×#10621902 | 1 | 2 | yes | — |
| 416 | C8 | C2×#10621902 | 1 | 2 | yes | — |
| 417 | C22 | — | 2 | 1 | no | — |
| 418 | C22 | — | 2 | 1 | no | — |
| 419 | C22 | — | 86 | 6 | no | — |
| 420 | C22 | — | 86 | 6 | no | — |
| 421 | C22 | — | 86 | 6 | no | — |
| 422 | C22 | C4×#10621902 | 1 | 2 | yes | — |
| 423 | C22 | C23×C4×D43 | 1 | 1 | yes | characteristic |
| 424 | C4 | — | 2 | 3 | no | — |
| 425 | C4 | — | 2 | 3 | no | — |
| 426 | C4 | — | 2 | 3 | no | — |
| 427 | C4 | — | 86 | 6 | no | — |
| 428 | C4 | — | 86 | 2 | no | — |
| 429 | C4 | — | 86 | 2 | no | — |
| 430 | C4 | C4×#10621902 | 1 | 2 | yes | — |
| 431 | C4 | C2×#13063331 | 1 | 6 | yes | — |
| 432 | C4 | C2×#41×D43 | 1 | 1 | yes | characteristic |
| 433 | C4 | C22×#10621902 | 1 | 1 | yes | characteristic |
| 434 | C2 | — | 2 | 2 | no | — |
| 435 | C2 | — | 172 | 6 | no | — |
| 436 | C2 | C2×C4×#10621902 | 1 | 1 | yes | characteristic |
| 437 | C2 | C22×#13063331 | 1 | 1 | yes | characteristic |
| 438 | C2 | #19149306 | 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