← #27123183
Subgroups — #27123183
Order 12032.
6640 conjugacy classes of subgroups.
The subgroup lattice has 528 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #20257536 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #20257535 | C2 | 1 | 5 | yes | maximal, complemented |
| 3 | #20257534 | C2 | 1 | 10 | yes | maximal, complemented |
| 4 | #20257529 | C2 | 1 | 10 | yes | maximal, complemented |
| 5 | #20257527 | C2 | 1 | 10 | yes | maximal, complemented |
| 6 | #20257525 | C2 | 1 | 10 | yes | maximal, complemented |
| 7 | #20256685 | C2 | 1 | 5 | yes | maximal, complemented |
| 8 | #20256682 | C2 | 1 | 10 | yes | maximal, complemented |
| 9 | C47×#3531 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C47⋊#564 | C22 | 1 | 5 | yes | complemented |
| 11 | #15689877 | C22 | 1 | 10 | yes | complemented |
| 12 | #15689877 | C22 | 1 | 10 | yes | complemented |
| 13 | #15689875 | C22 | 1 | 20 | yes | complemented |
| 14 | #15689874 | C22 | 1 | 20 | yes | complemented |
| 15 | #15689872 | C22 | 1 | 20 | yes | complemented |
| 16 | #15689871 | C22 | 1 | 10 | yes | complemented |
| 17 | #15689871 | C22 | 1 | 5 | yes | complemented |
| 18 | #15689870 | C22 | 1 | 20 | yes | complemented |
| 19 | #15689869 | C22 | 1 | 20 | yes | complemented |
| 20 | #15689869 | C22 | 1 | 20 | yes | complemented |
| 21 | #15689867 | C22 | 1 | 10 | yes | complemented |
| 22 | #15689865 | C22 | 1 | 10 | yes | complemented |
| 23 | #15689864 | C22 | 1 | 20 | yes | complemented |
| 24 | #15689863 | C22 | 1 | 20 | yes | complemented |
| 25 | #15689861 | C22 | 1 | 20 | yes | complemented |
| 26 | #15689679 | C22 | 1 | 10 | yes | complemented |
| 27 | #15689678 | C22 | 1 | 10 | yes | complemented |
| 28 | #15689677 | C22 | 1 | 10 | yes | complemented |
| 29 | #15689675 | C22 | 1 | 10 | yes | complemented |
| 30 | #15689674 | C22 | 1 | 10 | yes | — |
| 31 | #15689673 | C22 | 1 | 5 | yes | — |
| 32 | #15689672 | C22 | 1 | 10 | yes | — |
| 33 | #15689670 | C22 | 1 | 10 | yes | — |
| 34 | #15689668 | C22 | 1 | 10 | yes | — |
| 35 | #15689660 | C22 | 1 | 20 | yes | complemented |
| 36 | #15689659 | C22 | 1 | 20 | yes | complemented |
| 37 | #15689658 | C22 | 1 | 10 | yes | complemented |
| 38 | #15689658 | C22 | 1 | 10 | yes | complemented |
| 39 | #15689658 | C22 | 1 | 10 | yes | complemented |
| 40 | #15689657 | C22 | 1 | 10 | yes | complemented |
| 41 | #15689656 | C22 | 1 | 20 | yes | complemented |
| 42 | #15689656 | C22 | 1 | 20 | yes | complemented |
| 43 | #15689652 | C22 | 1 | 10 | yes | complemented |
| 44 | #15689651 | C22 | 1 | 20 | yes | complemented |
| 45 | #15689650 | C22 | 1 | 20 | yes | complemented |
| 46 | #15689636 | C22 | 1 | 10 | yes | complemented |
| 47 | #15689636 | C22 | 1 | 20 | yes | complemented |
| 48 | #15689635 | C22 | 1 | 10 | yes | complemented |
| 49 | #15689633 | C22 | 1 | 10 | yes | complemented |
| 50 | #15689632 | C22 | 1 | 20 | yes | complemented |
| 51 | #15689631 | C22 | 1 | 20 | yes | complemented |
| 52 | C4×#10625354 | C22 | 1 | 10 | yes | complemented |
| 53 | #15689591 | C22 | 1 | 10 | yes | complemented |
| 54 | C4×#10625352 | C22 | 1 | 10 | yes | complemented |
| 55 | C2×C42×D47 | C22 | 1 | 5 | yes | complemented |
| 56 | C47×#564 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | C47×#563 | C22 | 1 | 10 | yes | complemented |
| 58 | C47×#562 | C22 | 1 | 5 | yes | complemented |
| 59 | C47×#533 | C22 | 1 | 5 | yes | complemented |
| 60 | C47×#529 | C22 | 1 | 10 | yes | complemented |
| 61 | C2×#10625354 | C23 | 1 | 10 | yes | — |
| 62 | C2×#10625350 | C23 | 1 | 10 | yes | — |
| 63 | C2×#10625352 | C23 | 1 | 10 | yes | — |
| 64 | C22×C4×D47 | C23 | 1 | 10 | yes | — |
| 65 | C22×C4×D47 | C23 | 1 | 5 | yes | — |
| 66 | #13094024 | C23 | 1 | 5 | yes | — |
| 67 | #13094023 | C23 | 1 | 10 | yes | — |
| 68 | #13094023 | C23 | 1 | 10 | yes | — |
| 69 | #13094022 | C23 | 1 | 10 | yes | — |
| 70 | #13094021 | C23 | 1 | 5 | yes | — |
| 71 | #13094020 | C23 | 1 | 10 | yes | — |
| 72 | #13094019 | C23 | 1 | 20 | yes | — |
| 73 | #13094019 | C23 | 1 | 20 | yes | — |
| 74 | #13094019 | C23 | 1 | 20 | yes | — |
| 75 | #13094018 | C23 | 1 | 20 | yes | — |
| 76 | #13094017 | C23 | 1 | 20 | yes | — |
| 77 | #13094016 | C23 | 1 | 10 | yes | — |
| 78 | #13094015 | C23 | 1 | 20 | yes | — |
| 79 | #13094014 | C23 | 1 | 20 | yes | — |
| 80 | #13094014 | C23 | 1 | 20 | yes | — |
| 81 | #13094013 | C23 | 1 | 20 | yes | — |
| 82 | #13094012 | C23 | 1 | 10 | yes | — |
| 83 | #13094012 | C23 | 1 | 10 | yes | — |
| 84 | #13094010 | C23 | 1 | 20 | yes | — |
| 85 | #13094010 | C23 | 1 | 20 | yes | — |
| 86 | #13094009 | C23 | 1 | 20 | yes | — |
| 87 | #13094009 | C23 | 1 | 20 | yes | — |
| 88 | #13094009 | C23 | 1 | 20 | yes | — |
| 89 | #13094009 | C23 | 1 | 20 | yes | — |
| 90 | #13094008 | C23 | 1 | 20 | yes | — |
| 91 | #13094007 | C23 | 1 | 20 | yes | — |
| 92 | #13094006 | C23 | 1 | 20 | yes | — |
| 93 | #13094006 | C23 | 1 | 20 | yes | — |
| 94 | #13094004 | C23 | 1 | 10 | yes | — |
| 95 | #13094004 | C23 | 1 | 10 | yes | — |
| 96 | #13094004 | C23 | 1 | 10 | yes | — |
| 97 | #13094003 | C23 | 1 | 10 | yes | — |
| 98 | #13094002 | C23 | 1 | 20 | yes | — |
| 99 | #13094002 | C23 | 1 | 20 | yes | — |
| 100 | #13094002 | C23 | 1 | 20 | yes | — |
| 101 | #13094001 | C23 | 1 | 20 | yes | — |
| 102 | #13094000 | C23 | 1 | 20 | yes | — |
| 103 | #13094000 | C23 | 1 | 10 | yes | — |
| 104 | #13093999 | C23 | 1 | 10 | yes | — |
| 105 | #13093999 | C23 | 1 | 20 | yes | — |
| 106 | #13093999 | C23 | 1 | 10 | yes | — |
| 107 | #13093999 | C23 | 1 | 10 | yes | — |
| 108 | #13093998 | C23 | 1 | 20 | yes | — |
| 109 | #13093998 | C23 | 1 | 10 | yes | — |
| 110 | #13093997 | C23 | 1 | 20 | yes | — |
| 111 | #13093997 | C23 | 1 | 20 | yes | — |
| 112 | #13093997 | C23 | 1 | 20 | yes | — |
| 113 | #13093996 | C23 | 1 | 20 | yes | — |
| 114 | #13093995 | C23 | 1 | 10 | yes | — |
| 115 | #13093994 | C23 | 1 | 20 | yes | — |
| 116 | #13093994 | C23 | 1 | 20 | yes | — |
| 117 | #13093992 | C23 | 1 | 20 | yes | — |
| 118 | Q8×Dic47 | C23 | 1 | 10 | yes | — |
| 119 | C4×Dic94 | C23 | 1 | 10 | yes | — |
| 120 | #13093989 | C23 | 1 | 10 | yes | — |
| 121 | #13093989 | C23 | 1 | 10 | yes | — |
| 122 | #13093989 | C23 | 1 | 10 | yes | — |
| 123 | C4×D188 | C23 | 1 | 20 | yes | — |
| 124 | C4×D188 | C23 | 1 | 10 | yes | — |
| 125 | D4×Dic47 | C23 | 1 | 10 | yes | — |
| 126 | #13093986 | C23 | 1 | 10 | yes | — |
| 127 | #13093986 | C23 | 1 | 10 | yes | — |
| 128 | #13093986 | C23 | 1 | 20 | yes | — |
| 129 | #13093986 | C23 | 1 | 10 | yes | — |
| 130 | C4×C22⋊D47 | C23 | 1 | 20 | yes | — |
| 131 | (C22⋊D47)⋊C4 | C23 | 1 | 20 | yes | — |
| 132 | (C22⋊D47)⋊C4 | C23 | 1 | 20 | yes | — |
| 133 | (C22⋊D47)⋊C4 | C23 | 1 | 20 | yes | — |
| 134 | #13093982 | C23 | 1 | 10 | yes | — |
| 135 | #13093982 | C23 | 1 | 10 | yes | — |
| 136 | #13093982 | C23 | 1 | 20 | yes | — |
| 137 | #13093981 | C23 | 1 | 20 | yes | — |
| 138 | #13093980 | C23 | 1 | 20 | yes | — |
| 139 | C2×C4×Dic47 | C23 | 1 | 5 | yes | — |
| 140 | C2×C4×Dic47 | C23 | 1 | 10 | yes | — |
| 141 | C42×D47 | C23 | 1 | 10 | yes | — |
| 142 | C42×D47 | C23 | 1 | 10 | yes | — |
| 143 | C42×D47 | C23 | 1 | 10 | yes | — |
| 144 | C42×D47 | C23 | 1 | 10 | yes | — |
| 145 | C4⋊Q8×C47 | C23 | 1 | 10 | yes | — |
| 146 | #126×C47 | C23 | 1 | 20 | yes | — |
| 147 | #125×C47 | C23 | 1 | 10 | yes | — |
| 148 | #125×C47 | C23 | 1 | 5 | yes | — |
| 149 | #125×C47 | C23 | 1 | 5 | yes | — |
| 150 | #124×C47 | C23 | 1 | 10 | yes | — |
| 151 | #123×C47 | C23 | 1 | 20 | yes | — |
| 152 | C22⋊Q8×C47 | C23 | 1 | 10 | yes | — |
| 153 | C22⋊Q8×C47 | C23 | 1 | 20 | yes | — |
| 154 | #121×C47 | C23 | 1 | 10 | yes | — |
| 155 | C4×Q8×C47 | C23 | 1 | 10 | yes | — |
| 156 | C4×D4×C47 | C23 | 1 | 10 | yes | — |
| 157 | #117×C47 | C23 | 1 | 10 | yes | — |
| 158 | C2×C42×C47 | C23 | 1 | 5 | yes | — |
| 159 | C23×D47 | C24 | 1 | 5 | yes | — |
| 160 | C2×Q8×C47 | C24 | 1 | 10 | yes | — |
| 161 | C2×D4×C47 | C24 | 1 | 10 | yes | — |
| 162 | C22×C4×C47 | C24 | 1 | 5 | yes | — |
| 163 | C22×C4×C47 | C24 | 1 | 10 | yes | — |
| 164 | C2×C22⋊D47 | C24 | 1 | 20 | yes | — |
| 165 | C2×C22⋊D47 | C24 | 1 | 20 | yes | — |
| 166 | C22×Dic47 | C24 | 1 | 10 | yes | — |
| 167 | C22×Dic47 | C24 | 1 | 5 | yes | — |
| 168 | #10625354 | — | 4 | 20 | no | — |
| 169 | #10625352 | — | 4 | 20 | no | — |
| 170 | #10625350 | — | 4 | 20 | no | — |
| 171 | C2×D188 | C24 | 1 | 10 | yes | — |
| 172 | C2×D188 | C24 | 1 | 20 | yes | — |
| 173 | C2×D188 | C24 | 1 | 10 | yes | — |
| 174 | C2×C4×D47 | — | 4 | 20 | no | — |
| 175 | C2×C4×D47 | — | 4 | 10 | no | — |
| 176 | C2×C4×D47 | C24 | 1 | 10 | yes | — |
| 177 | C2×C4×D47 | C24 | 1 | 10 | yes | — |
| 178 | C2×C4×D47 | C24 | 1 | 10 | yes | — |
| 179 | C2×C4×D47 | C24 | 1 | 10 | yes | — |
| 180 | C2×C4×D47 | C24 | 1 | 10 | yes | — |
| 181 | C2×C4×D47 | C24 | 1 | 10 | yes | — |
| 182 | C2×Dic94 | C24 | 1 | 10 | yes | — |
| 183 | C2×Dic94 | C24 | 1 | 10 | yes | — |
| 184 | C4⋊C4×C47 | C24 | 1 | 10 | yes | — |
| 185 | C4⋊C4×C47 | C24 | 1 | 10 | yes | — |
| 186 | C4⋊C4×C47 | C24 | 1 | 10 | yes | — |
| 187 | C4⋊C4×C47 | C24 | 1 | 10 | yes | — |
| 188 | C4⋊C4×C47 | C24 | 1 | 20 | yes | — |
| 189 | C22⋊C4×C47 | C24 | 1 | 20 | yes | — |
| 190 | C22⋊C4×C47 | C24 | 1 | 20 | yes | — |
| 191 | C42×C47 | C24 | 1 | 10 | yes | — |
| 192 | C42×C47 | C24 | 1 | 5 | yes | — |
| 193 | C42×C47 | C24 | 1 | 5 | yes | — |
| 194 | C22⋊Dic47 | C24 | 1 | 20 | yes | — |
| 195 | (C2×D47)⋊C4 | C24 | 1 | 20 | yes | — |
| 196 | (C2×D47)⋊C4 | C24 | 1 | 20 | yes | — |
| 197 | (C2×D47)⋊C4 | C24 | 1 | 20 | yes | — |
| 198 | (C2×D47)⋊C4 | C24 | 1 | 20 | yes | — |
| 199 | (C2×D47)⋊C4 | C24 | 1 | 20 | yes | — |
| 200 | (C2×D47)⋊C4 | C24 | 1 | 20 | yes | — |
| 201 | C4⋊Dic47 | C24 | 1 | 10 | yes | — |
| 202 | C4⋊Dic47 | C24 | 1 | 10 | yes | — |
| 203 | C4⋊Dic47 | C24 | 1 | 20 | yes | — |
| 204 | Dic47⋊C4 | C24 | 1 | 20 | yes | — |
| 205 | Dic47⋊C4 | C24 | 1 | 20 | yes | — |
| 206 | Dic47⋊C4 | C24 | 1 | 20 | yes | — |
| 207 | Dic47⋊C4 | C24 | 1 | 20 | yes | — |
| 208 | C4×Dic47 | C24 | 1 | 1 | yes | characteristic |
| 209 | C4×Dic47 | C24 | 1 | 10 | yes | — |
| 210 | C4×Dic47 | C24 | 1 | 10 | yes | — |
| 211 | C4×Dic47 | C24 | 1 | 5 | yes | — |
| 212 | C4×Dic47 | C24 | 1 | 10 | yes | — |
| 213 | C4×Dic47 | C24 | 1 | 10 | yes | — |
| 214 | C4×Dic47 | C24 | 1 | 10 | yes | — |
| 215 | C23×C47 | C25 | 1 | 5 | yes | — |
| 216 | C22×D47 | — | 4 | 10 | no | — |
| 217 | C22×D47 | — | 4 | 5 | no | — |
| 218 | C22×D47 | C25 | 1 | 10 | yes | — |
| 219 | Q8×C47 | — | 4 | 10 | no | — |
| 220 | D4×C47 | — | 4 | 10 | no | — |
| 221 | C2×C4×C47 | — | 2 | 10 | no | — |
| 222 | C2×C4×C47 | — | 4 | 10 | no | — |
| 223 | C2×C4×C47 | C25 | 1 | 10 | yes | — |
| 224 | C2×C4×C47 | C25 | 1 | 5 | yes | — |
| 225 | C2×C4×C47 | C25 | 1 | 10 | yes | — |
| 226 | C2×C4×C47 | C25 | 1 | 1 | yes | characteristic |
| 227 | C22⋊D47 | — | 4 | 20 | no | — |
| 228 | C22⋊D47 | — | 4 | 20 | no | — |
| 229 | C2×Dic47 | — | 2 | 20 | no | — |
| 230 | C2×Dic47 | — | 4 | 5 | no | — |
| 231 | C2×Dic47 | C25 | 1 | 10 | yes | — |
| 232 | C2×Dic47 | C25 | 1 | 10 | yes | — |
| 233 | C2×Dic47 | C25 | 1 | 2 | yes | — |
| 234 | D188 | — | 4 | 10 | no | — |
| 235 | D188 | — | 4 | 10 | no | — |
| 236 | D188 | — | 4 | 20 | no | — |
| 237 | C4×D47 | — | 2 | 20 | no | — |
| 238 | C4×D47 | — | 2 | 20 | no | — |
| 239 | C4×D47 | — | 2 | 20 | no | — |
| 240 | C4×D47 | — | 4 | 10 | no | — |
| 241 | C4×D47 | — | 4 | 10 | no | — |
| 242 | C4×D47 | — | 4 | 10 | no | — |
| 243 | Dic94 | — | 4 | 10 | no | — |
| 244 | Dic94 | — | 4 | 10 | no | — |
| 245 | #62694 | — | 47 | 1 | no | maximal, Sylow |
| 246 | C22×C47 | — | 2 | 10 | no | — |
| 247 | C22×C47 | — | 2 | 5 | no | — |
| 248 | C22×C47 | C26 | 1 | 1 | yes | characteristic |
| 249 | C2×D47 | — | 2 | 10 | no | — |
| 250 | C2×D47 | — | 2 | 10 | no | — |
| 251 | C2×D47 | — | 2 | 10 | no | — |
| 252 | C2×D47 | — | 4 | 20 | no | — |
| 253 | C4×C47 | — | 2 | 5 | no | — |
| 254 | C4×C47 | — | 2 | 10 | no | — |
| 255 | C4×C47 | — | 2 | 10 | no | — |
| 256 | C4×C47 | #585 | 1 | 2 | yes | — |
| 257 | Dic47 | — | 2 | 10 | no | — |
| 258 | Dic47 | — | 2 | 10 | no | — |
| 259 | Dic47 | #585 | 1 | 4 | yes | — |
| 260 | #3531 | — | 47 | 2 | no | — |
| 261 | #3531 | — | 47 | 10 | no | — |
| 262 | #3531 | — | 47 | 5 | no | — |
| 263 | #3531 | D47 | 1 | 1 | yes | characteristic, complemented |
| 264 | #3529 | — | 47 | 10 | no | — |
| 265 | #3529 | — | 47 | 10 | no | — |
| 266 | #3529 | — | 47 | 10 | no | — |
| 267 | #3444 | — | 47 | 5 | no | — |
| 268 | #3444 | — | 47 | 10 | no | — |
| 269 | C2×C47 | — | 4 | 5 | no | — |
| 270 | C2×C47 | C2×#585 | 1 | 2 | yes | — |
| 271 | C2×C47 | C2×#585 | 1 | 1 | yes | characteristic |
| 272 | D47 | — | 4 | 10 | no | — |
| 273 | #564 | — | 47 | 5 | no | — |
| 274 | #564 | C2×D47 | 1 | 1 | yes | characteristic, complemented |
| 275 | #563 | — | 47 | 20 | no | — |
| 276 | #563 | — | 47 | 20 | no | — |
| 277 | #563 | — | 47 | 10 | no | — |
| 278 | #563 | — | 47 | 10 | no | — |
| 279 | #563 | — | 47 | 20 | no | — |
| 280 | #563 | C2×D47 | 1 | 10 | yes | complemented |
| 281 | #562 | — | 47 | 5 | no | — |
| 282 | #562 | — | 47 | 10 | no | — |
| 283 | #562 | — | 47 | 10 | no | — |
| 284 | #562 | — | 47 | 20 | no | — |
| 285 | #562 | — | 47 | 20 | no | — |
| 286 | #562 | — | 47 | 20 | no | — |
| 287 | #562 | C2×D47 | 1 | 5 | yes | complemented |
| 288 | H(3,𝔽4) | — | 47 | 10 | no | — |
| 289 | #560 | — | 47 | 20 | no | — |
| 290 | #560 | — | 47 | 20 | no | — |
| 291 | #560 | — | 47 | 20 | no | — |
| 292 | #533 | — | 47 | 10 | no | — |
| 293 | #533 | — | 47 | 10 | no | — |
| 294 | #533 | — | 47 | 10 | no | — |
| 295 | #533 | — | 47 | 10 | no | — |
| 296 | #533 | C2×D47 | 1 | 5 | yes | complemented |
| 297 | #532 | — | 47 | 10 | no | — |
| 298 | #532 | — | 47 | 10 | no | — |
| 299 | #532 | — | 47 | 10 | no | — |
| 300 | #532 | — | 47 | 10 | no | — |
| 301 | #532 | — | 47 | 5 | no | — |
| 302 | #529 | — | 47 | 20 | no | — |
| 303 | #529 | — | 47 | 20 | no | — |
| 304 | #529 | — | 47 | 10 | no | — |
| 305 | #529 | — | 47 | 10 | no | — |
| 306 | #529 | — | 47 | 10 | no | — |
| 307 | #529 | — | 47 | 10 | no | — |
| 308 | #529 | — | 47 | 20 | no | — |
| 309 | #529 | — | 47 | 20 | no | — |
| 310 | #529 | — | 47 | 20 | no | — |
| 311 | #529 | — | 47 | 20 | no | — |
| 312 | #529 | — | 47 | 10 | no | — |
| 313 | #529 | C2×D47 | 1 | 10 | yes | complemented |
| 314 | #525 | — | 47 | 20 | no | — |
| 315 | #525 | — | 47 | 20 | no | — |
| 316 | #525 | — | 47 | 10 | no | — |
| 317 | #525 | — | 47 | 10 | no | — |
| 318 | #525 | — | 47 | 20 | no | — |
| 319 | #525 | — | 47 | 10 | no | — |
| 320 | C4×#41 | — | 47 | 10 | no | — |
| 321 | C4×#41 | — | 47 | 10 | no | — |
| 322 | C4×#41 | — | 47 | 10 | no | — |
| 323 | C22×C42 | — | 47 | 5 | no | — |
| 324 | C47 | #62694 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 325 | C2×#41 | — | 47 | 10 | no | — |
| 326 | C2×#41 | — | 47 | 10 | no | — |
| 327 | C2×#41 | — | 47 | 10 | no | — |
| 328 | C23×C4 | — | 47 | 10 | no | — |
| 329 | C23×C4 | — | 47 | 5 | no | — |
| 330 | C4⋊Q8 | — | 47 | 10 | no | — |
| 331 | C4⋊Q8 | — | 47 | 10 | no | — |
| 332 | C4⋊Q8 | — | 47 | 10 | no | — |
| 333 | C4⋊Q8 | — | 47 | 5 | no | — |
| 334 | C4⋊Q8 | C22×D47 | 1 | 10 | yes | — |
| 335 | #127 | — | 47 | 10 | no | — |
| 336 | #127 | — | 47 | 5 | no | — |
| 337 | #126 | — | 47 | 20 | no | — |
| 338 | #126 | — | 47 | 20 | no | — |
| 339 | #126 | — | 47 | 20 | no | — |
| 340 | #126 | — | 47 | 20 | no | — |
| 341 | #126 | — | 47 | 20 | no | — |
| 342 | #126 | C22×D47 | 1 | 20 | yes | — |
| 343 | #125 | — | 47 | 20 | no | — |
| 344 | #125 | — | 47 | 20 | no | — |
| 345 | #125 | — | 47 | 20 | no | — |
| 346 | #125 | — | 47 | 10 | no | — |
| 347 | #125 | C22×D47 | 1 | 5 | yes | — |
| 348 | #125 | C22×D47 | 1 | 5 | yes | — |
| 349 | #125 | C22×D47 | 1 | 10 | yes | — |
| 350 | #124 | — | 47 | 20 | no | — |
| 351 | #124 | — | 47 | 20 | no | — |
| 352 | #124 | — | 47 | 20 | no | — |
| 353 | #124 | — | 47 | 10 | no | — |
| 354 | #124 | — | 47 | 10 | no | — |
| 355 | #124 | C22×D47 | 1 | 10 | yes | — |
| 356 | #123 | — | 47 | 20 | no | — |
| 357 | #123 | — | 47 | 20 | no | — |
| 358 | #123 | — | 47 | 20 | no | — |
| 359 | #123 | — | 47 | 20 | no | — |
| 360 | #123 | — | 47 | 20 | no | — |
| 361 | #123 | — | 47 | 20 | no | — |
| 362 | #123 | — | 47 | 20 | no | — |
| 363 | #123 | — | 47 | 20 | no | — |
| 364 | #123 | C22×D47 | 1 | 20 | yes | — |
| 365 | C22⋊Q8 | — | 47 | 10 | no | — |
| 366 | C22⋊Q8 | — | 47 | 20 | no | — |
| 367 | C22⋊Q8 | — | 47 | 10 | no | — |
| 368 | C22⋊Q8 | — | 47 | 20 | no | — |
| 369 | C22⋊Q8 | — | 47 | 20 | no | — |
| 370 | C22⋊Q8 | — | 47 | 20 | no | — |
| 371 | C22⋊Q8 | — | 47 | 10 | no | — |
| 372 | C22⋊Q8 | — | 47 | 10 | no | — |
| 373 | C22⋊Q8 | — | 47 | 10 | no | — |
| 374 | C22⋊Q8 | — | 47 | 20 | no | — |
| 375 | C22⋊Q8 | C22×D47 | 1 | 20 | yes | — |
| 376 | C22⋊Q8 | C22×D47 | 1 | 10 | yes | — |
| 377 | #121 | — | 47 | 10 | no | — |
| 378 | #121 | — | 47 | 20 | no | — |
| 379 | #121 | — | 47 | 20 | no | — |
| 380 | #121 | — | 47 | 10 | no | — |
| 381 | #121 | — | 47 | 20 | no | — |
| 382 | #121 | — | 47 | 10 | no | — |
| 383 | #121 | — | 47 | 10 | no | — |
| 384 | #121 | — | 47 | 10 | no | — |
| 385 | #121 | — | 47 | 20 | no | — |
| 386 | #121 | — | 47 | 20 | no | — |
| 387 | #121 | — | 47 | 20 | no | — |
| 388 | #121 | C22×D47 | 1 | 10 | yes | — |
| 389 | #120 | — | 47 | 20 | no | — |
| 390 | #120 | — | 47 | 20 | no | — |
| 391 | #120 | — | 47 | 20 | no | — |
| 392 | C4×Q8 | — | 47 | 10 | no | — |
| 393 | C4×Q8 | — | 47 | 10 | no | — |
| 394 | C4×Q8 | — | 47 | 10 | no | — |
| 395 | C4×Q8 | — | 47 | 10 | no | — |
| 396 | C4×Q8 | — | 47 | 10 | no | — |
| 397 | C4×Q8 | C22×D47 | 1 | 10 | yes | — |
| 398 | C4×D4 | — | 47 | 10 | no | — |
| 399 | C4×D4 | — | 47 | 20 | no | — |
| 400 | C4×D4 | — | 47 | 20 | no | — |
| 401 | C4×D4 | — | 47 | 10 | no | — |
| 402 | C4×D4 | — | 47 | 10 | no | — |
| 403 | C4×D4 | — | 47 | 10 | no | — |
| 404 | C4×D4 | — | 47 | 20 | no | — |
| 405 | C4×D4 | — | 47 | 20 | no | — |
| 406 | C4×D4 | — | 47 | 20 | no | — |
| 407 | C4×D4 | — | 47 | 20 | no | — |
| 408 | C4×D4 | — | 47 | 10 | no | — |
| 409 | C4×D4 | C22×D47 | 1 | 10 | yes | — |
| 410 | #117 | — | 47 | 20 | no | — |
| 411 | #117 | — | 47 | 10 | no | — |
| 412 | #117 | — | 47 | 10 | no | — |
| 413 | #117 | — | 47 | 20 | no | — |
| 414 | #117 | — | 47 | 20 | no | — |
| 415 | #117 | C22×D47 | 1 | 10 | yes | — |
| 416 | C2×C42 | — | 47 | 5 | no | — |
| 417 | C2×C42 | — | 47 | 10 | no | — |
| 418 | C2×C42 | — | 47 | 10 | no | — |
| 419 | C2×C42 | — | 47 | 10 | no | — |
| 420 | C2×C42 | — | 47 | 10 | no | — |
| 421 | C2×C42 | — | 47 | 10 | no | — |
| 422 | C2×C42 | C22×D47 | 1 | 5 | yes | — |
| 423 | C24 | — | 47 | 5 | no | — |
| 424 | #41 | — | 188 | 20 | no | — |
| 425 | #41 | — | 188 | 20 | no | — |
| 426 | #41 | — | 188 | 20 | no | — |
| 427 | C2×Q8 | — | 47 | 10 | no | — |
| 428 | C2×Q8 | — | 47 | 10 | no | — |
| 429 | C2×Q8 | C23×D47 | 1 | 10 | yes | — |
| 430 | C2×D4 | — | 47 | 20 | no | — |
| 431 | C2×D4 | — | 47 | 20 | no | — |
| 432 | C2×D4 | — | 47 | 10 | no | — |
| 433 | C2×D4 | — | 47 | 20 | no | — |
| 434 | C2×D4 | — | 47 | 10 | no | — |
| 435 | C2×D4 | C23×D47 | 1 | 10 | yes | — |
| 436 | C22×C4 | — | 47 | 10 | no | — |
| 437 | C22×C4 | — | 47 | 5 | no | — |
| 438 | C22×C4 | — | 47 | 10 | no | — |
| 439 | C22×C4 | — | 47 | 10 | no | — |
| 440 | C22×C4 | — | 47 | 10 | no | — |
| 441 | C22×C4 | — | 47 | 10 | no | — |
| 442 | C22×C4 | — | 47 | 10 | no | — |
| 443 | C22×C4 | — | 47 | 10 | no | — |
| 444 | C22×C4 | — | 188 | 10 | no | — |
| 445 | C22×C4 | — | 188 | 20 | no | — |
| 446 | C22×C4 | C23×D47 | 1 | 5 | yes | — |
| 447 | C22×C4 | C23×D47 | 1 | 10 | yes | — |
| 448 | C4⋊C4 | — | 47 | 20 | no | — |
| 449 | C4⋊C4 | — | 47 | 20 | no | — |
| 450 | C4⋊C4 | — | 47 | 20 | no | — |
| 451 | C4⋊C4 | — | 47 | 20 | no | — |
| 452 | C4⋊C4 | — | 47 | 10 | no | — |
| 453 | C4⋊C4 | — | 47 | 10 | no | — |
| 454 | C4⋊C4 | — | 47 | 20 | no | — |
| 455 | C4⋊C4 | C23×D47 | 1 | 20 | yes | — |
| 456 | C4⋊C4 | C23×D47 | 1 | 10 | yes | — |
| 457 | C4⋊C4 | C23×D47 | 1 | 10 | yes | — |
| 458 | C4⋊C4 | C23×D47 | 1 | 10 | yes | — |
| 459 | C4⋊C4 | C23×D47 | 1 | 10 | yes | — |
| 460 | C22⋊C4 | — | 47 | 20 | no | — |
| 461 | C22⋊C4 | — | 47 | 20 | no | — |
| 462 | C22⋊C4 | — | 47 | 20 | no | — |
| 463 | C22⋊C4 | — | 47 | 20 | no | — |
| 464 | C22⋊C4 | — | 47 | 20 | no | — |
| 465 | C22⋊C4 | — | 47 | 20 | no | — |
| 466 | C22⋊C4 | — | 47 | 20 | no | — |
| 467 | C22⋊C4 | C23×D47 | 1 | 20 | yes | — |
| 468 | C22⋊C4 | C23×D47 | 1 | 20 | yes | — |
| 469 | C42 | — | 47 | 10 | no | — |
| 470 | C42 | — | 47 | 10 | no | — |
| 471 | C42 | — | 47 | 10 | no | — |
| 472 | C42 | — | 47 | 10 | no | — |
| 473 | C42 | — | 47 | 10 | no | — |
| 474 | C42 | — | 47 | 1 | no | — |
| 475 | C42 | — | 47 | 5 | no | — |
| 476 | C42 | C23×D47 | 1 | 5 | yes | — |
| 477 | C42 | C23×D47 | 1 | 5 | yes | — |
| 478 | C42 | C23×D47 | 1 | 10 | yes | — |
| 479 | C23 | — | 47 | 10 | no | — |
| 480 | C23 | — | 188 | 10 | no | — |
| 481 | C23 | — | 188 | 5 | no | — |
| 482 | C23 | C24×D47 | 1 | 5 | yes | — |
| 483 | Q8 | — | 4 | 10 | no | — |
| 484 | Q8 | — | 188 | 10 | no | — |
| 485 | Q8 | — | 188 | 10 | no | — |
| 486 | D4 | — | 4 | 10 | no | — |
| 487 | D4 | — | 188 | 10 | no | — |
| 488 | D4 | — | 188 | 20 | no | — |
| 489 | D4 | — | 188 | 10 | no | — |
| 490 | D4 | — | 188 | 20 | no | — |
| 491 | D4 | — | 188 | 20 | no | — |
| 492 | C2×C4 | — | 2 | 10 | no | — |
| 493 | C2×C4 | — | 4 | 10 | no | — |
| 494 | C2×C4 | — | 47 | 2 | no | — |
| 495 | C2×C4 | — | 47 | 10 | no | — |
| 496 | C2×C4 | — | 47 | 10 | no | — |
| 497 | C2×C4 | — | 94 | 20 | no | — |
| 498 | C2×C4 | — | 94 | 20 | no | — |
| 499 | C2×C4 | — | 94 | 20 | no | — |
| 500 | C2×C4 | — | 94 | 20 | no | — |
| 501 | C2×C4 | — | 188 | 10 | no | — |
| 502 | C2×C4 | — | 188 | 10 | no | — |
| 503 | C2×C4 | — | 188 | 10 | no | — |
| 504 | C2×C4 | — | 188 | 5 | no | — |
| 505 | C2×C4 | C24×D47 | 1 | 10 | yes | — |
| 506 | C2×C4 | C24×D47 | 1 | 10 | yes | — |
| 507 | C2×C4 | C24×D47 | 1 | 5 | yes | — |
| 508 | C2×C4 | C24×D47 | 1 | 1 | yes | characteristic |
| 509 | C22 | — | 2 | 10 | no | — |
| 510 | C22 | — | 2 | 5 | no | — |
| 511 | C22 | — | 94 | 10 | no | — |
| 512 | C22 | — | 94 | 10 | no | — |
| 513 | C22 | — | 94 | 10 | no | — |
| 514 | C22 | — | 188 | 20 | no | — |
| 515 | C22 | C25×D47 | 1 | 1 | yes | characteristic |
| 516 | C4 | — | 2 | 10 | no | — |
| 517 | C4 | — | 2 | 10 | no | — |
| 518 | C4 | — | 2 | 5 | no | — |
| 519 | C4 | — | 47 | 4 | no | — |
| 520 | C4 | — | 94 | 10 | no | — |
| 521 | C4 | — | 94 | 10 | no | — |
| 522 | C4 | #15689960 | 1 | 2 | yes | — |
| 523 | C2 | — | 4 | 5 | no | — |
| 524 | C2 | — | 188 | 10 | no | — |
| 525 | C2 | #585×D47 | 1 | 2 | yes | — |
| 526 | C2 | C2×#15689960 | 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