← #16769823
Subgroups — #16769823
Order 3328.
6640 conjugacy classes of subgroups.
The subgroup lattice has 480 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #13128983 | C2 | 1 | 6 | yes | maximal, complemented |
| 2 | #13128981 | C2 | 1 | 12 | yes | maximal, complemented |
| 3 | #13128975 | C2 | 1 | 12 | yes | maximal, complemented |
| 4 | #13128974 | C2 | 1 | 12 | yes | maximal, complemented |
| 5 | #13128972 | C2 | 1 | 6 | yes | maximal, complemented |
| 6 | #13128132 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #13128129 | C2 | 1 | 12 | yes | maximal, complemented |
| 8 | C13×#3444 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | C13×#533 | C22 | 1 | 3 | yes | complemented |
| 10 | C13×#532 | C22 | 1 | 3 | yes | — |
| 11 | C13×#529 | C22 | 1 | 12 | yes | complemented |
| 12 | C13×#525 | C22 | 1 | 6 | yes | complemented |
| 13 | C4×C13×#41 | C22 | 1 | 6 | yes | complemented |
| 14 | C22×C42×C13 | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | #11719537 | C22 | 1 | 12 | yes | — |
| 16 | #11719533 | C22 | 1 | 12 | yes | complemented |
| 17 | #11719496 | C22 | 1 | 12 | yes | complemented |
| 18 | #11719440 | C22 | 1 | 12 | yes | complemented |
| 19 | #11719425 | C22 | 1 | 4 | yes | complemented |
| 20 | #11719417 | C22 | 1 | 24 | yes | complemented |
| 21 | #11719416 | C22 | 1 | 8 | yes | complemented |
| 22 | #11719405 | C22 | 1 | 6 | yes | complemented |
| 23 | #11719404 | C22 | 1 | 12 | yes | complemented |
| 24 | C13⋊#564 | C22 | 1 | 6 | yes | complemented |
| 25 | #11719389 | C22 | 1 | 12 | yes | complemented |
| 26 | #11719388 | C22 | 1 | 6 | yes | complemented |
| 27 | #11719377 | C22 | 1 | 6 | yes | complemented |
| 28 | #11719372 | C22 | 1 | 24 | yes | complemented |
| 29 | #11719371 | C22 | 1 | 12 | yes | complemented |
| 30 | #11719356 | C22 | 1 | 12 | yes | complemented |
| 31 | #11719352 | C22 | 1 | 24 | yes | complemented |
| 32 | #11719351 | C22 | 1 | 24 | yes | complemented |
| 33 | #11719326 | C22 | 1 | 24 | yes | complemented |
| 34 | #11719325 | C22 | 1 | 24 | yes | complemented |
| 35 | #11719300 | C22 | 1 | 12 | yes | complemented |
| 36 | #11719299 | C22 | 1 | 4 | yes | complemented |
| 37 | #11719285 | C22 | 1 | 24 | yes | complemented |
| 38 | #11719283 | C22 | 1 | 24 | yes | complemented |
| 39 | #11719262 | C22 | 1 | 24 | yes | complemented |
| 40 | #11719253 | C22 | 1 | 24 | yes | — |
| 41 | #11719252 | C22 | 1 | 24 | yes | complemented |
| 42 | #11719252 | C22 | 1 | 24 | yes | complemented |
| 43 | #11719243 | C22 | 1 | 24 | yes | complemented |
| 44 | #11719243 | C22 | 1 | 24 | yes | complemented |
| 45 | #11719233 | C22 | 1 | 24 | yes | complemented |
| 46 | #11719233 | C22 | 1 | 24 | yes | complemented |
| 47 | #11719229 | C22 | 1 | 12 | yes | complemented |
| 48 | #11719222 | C22 | 1 | 12 | yes | complemented |
| 49 | #11719184 | C22 | 1 | 12 | yes | complemented |
| 50 | #11719184 | C22 | 1 | 12 | yes | complemented |
| 51 | #11719182 | C22 | 1 | 6 | yes | — |
| 52 | C4×#6127 | C22 | 1 | 12 | yes | complemented |
| 53 | C4×#6127 | C22 | 1 | 12 | yes | complemented |
| 54 | C2×C42×D13 | C22 | 1 | 4 | yes | complemented |
| 55 | #11719175 | C22 | 1 | 6 | yes | complemented |
| 56 | C2×C13×#41 | C23 | 1 | 6 | yes | — |
| 57 | C23×C4×C13 | C23 | 1 | 3 | yes | — |
| 58 | C2×#6127 | C23 | 1 | 12 | yes | — |
| 59 | C2×#6127 | C23 | 1 | 12 | yes | — |
| 60 | C22×C4×D13 | C23 | 1 | 12 | yes | — |
| 61 | C13×C4⋊Q8 | C23 | 1 | 3 | yes | — |
| 62 | C13×#127 | C23 | 1 | 1 | yes | characteristic |
| 63 | C13×#126 | C23 | 1 | 8 | yes | — |
| 64 | C13×#125 | C23 | 1 | 6 | yes | — |
| 65 | C13×#124 | C23 | 1 | 6 | yes | — |
| 66 | C13×#123 | C23 | 1 | 12 | yes | — |
| 67 | C13×C22⋊Q8 | C23 | 1 | 12 | yes | — |
| 68 | C13×#121 | C23 | 1 | 12 | yes | — |
| 69 | C13×#120 | C23 | 1 | 4 | yes | — |
| 70 | C4×Q8×C13 | C23 | 1 | 12 | yes | — |
| 71 | C4×D4×C13 | C23 | 1 | 12 | yes | — |
| 72 | C4×D4×C13 | C23 | 1 | 24 | yes | — |
| 73 | C13×#117 | C23 | 1 | 12 | yes | — |
| 74 | C13×#117 | C23 | 1 | 6 | yes | — |
| 75 | C2×C42×C13 | C23 | 1 | 6 | yes | — |
| 76 | C2×C42×C13 | C23 | 1 | 4 | yes | — |
| 77 | C2×C42×C13 | C23 | 1 | 3 | yes | — |
| 78 | C2×C42×C13 | C23 | 1 | 3 | yes | — |
| 79 | #88207 | C23 | 1 | 8 | yes | — |
| 80 | #88201 | C23 | 1 | 12 | yes | — |
| 81 | #88200 | C23 | 1 | 24 | yes | — |
| 82 | #88198 | C23 | 1 | 12 | yes | — |
| 83 | #88194 | C23 | 1 | 12 | yes | — |
| 84 | #88193 | C23 | 1 | 24 | yes | — |
| 85 | #88193 | C23 | 1 | 24 | yes | — |
| 86 | #88192 | C23 | 1 | 24 | yes | — |
| 87 | #88191 | C23 | 1 | 12 | yes | — |
| 88 | #88191 | C23 | 1 | 12 | yes | — |
| 89 | #88190 | C23 | 1 | 12 | yes | — |
| 90 | #88189 | C23 | 1 | 12 | yes | — |
| 91 | #88189 | C23 | 1 | 12 | yes | — |
| 92 | #88184 | C23 | 1 | 12 | yes | — |
| 93 | #88184 | C23 | 1 | 12 | yes | — |
| 94 | #88183 | C23 | 1 | 24 | yes | — |
| 95 | C4×C22⋊D13 | C23 | 1 | 24 | yes | — |
| 96 | C4×C22⋊D13 | C23 | 1 | 24 | yes | — |
| 97 | C4×C22⋊D13 | C23 | 1 | 24 | yes | — |
| 98 | C4×C22⋊D13 | C23 | 1 | 24 | yes | — |
| 99 | #88180 | C23 | 1 | 12 | yes | — |
| 100 | #88180 | C23 | 1 | 12 | yes | — |
| 101 | #88178 | C23 | 1 | 12 | yes | — |
| 102 | #88178 | C23 | 1 | 12 | yes | — |
| 103 | C2×C4×Dic13 | C23 | 1 | 12 | yes | — |
| 104 | #88152 | C23 | 1 | 24 | yes | — |
| 105 | #88152 | C23 | 1 | 24 | yes | — |
| 106 | #88151 | C23 | 1 | 24 | yes | — |
| 107 | #88150 | C23 | 1 | 24 | yes | — |
| 108 | #88150 | C23 | 1 | 24 | yes | — |
| 109 | #88149 | C23 | 1 | 24 | yes | — |
| 110 | #88148 | C23 | 1 | 24 | yes | — |
| 111 | #88148 | C23 | 1 | 24 | yes | — |
| 112 | #88144 | C23 | 1 | 24 | yes | — |
| 113 | #88143 | C23 | 1 | 24 | yes | — |
| 114 | #88143 | C23 | 1 | 24 | yes | — |
| 115 | #88142 | C23 | 1 | 24 | yes | — |
| 116 | #88140 | C23 | 1 | 24 | yes | — |
| 117 | #88139 | C23 | 1 | 24 | yes | — |
| 118 | #88139 | C23 | 1 | 24 | yes | — |
| 119 | #88138 | C23 | 1 | 24 | yes | — |
| 120 | #88138 | C23 | 1 | 24 | yes | — |
| 121 | #88137 | C23 | 1 | 24 | yes | — |
| 122 | #88137 | C23 | 1 | 24 | yes | — |
| 123 | #88136 | C23 | 1 | 24 | yes | — |
| 124 | #88133 | C23 | 1 | 24 | yes | — |
| 125 | #88133 | C23 | 1 | 24 | yes | — |
| 126 | #88132 | C23 | 1 | 24 | yes | — |
| 127 | #88132 | C23 | 1 | 24 | yes | — |
| 128 | #88130 | C23 | 1 | 8 | yes | — |
| 129 | #88130 | C23 | 1 | 8 | yes | — |
| 130 | #88129 | C23 | 1 | 12 | yes | — |
| 131 | #88128 | C23 | 1 | 2 | yes | — |
| 132 | C4×D52 | C23 | 1 | 12 | yes | — |
| 133 | C4×D52 | C23 | 1 | 12 | yes | — |
| 134 | C4×D52 | C23 | 1 | 24 | yes | — |
| 135 | #88126 | C23 | 1 | 24 | yes | — |
| 136 | #88126 | C23 | 1 | 24 | yes | — |
| 137 | C42×D13 | C23 | 1 | 8 | yes | — |
| 138 | C42×D13 | C23 | 1 | 24 | yes | — |
| 139 | #88124 | C23 | 1 | 12 | yes | — |
| 140 | #88123 | C23 | 1 | 6 | yes | — |
| 141 | C4×Dic26 | C23 | 1 | 12 | yes | — |
| 142 | C4×Dic26 | C23 | 1 | 12 | yes | — |
| 143 | C4×Dic26 | C23 | 1 | 24 | yes | — |
| 144 | #62694 | — | 13 | 1 | no | maximal, Sylow |
| 145 | C24×C13 | C24 | 1 | 1 | yes | characteristic |
| 146 | C23×D13 | C24 | 1 | 4 | yes | — |
| 147 | C13×#41 | — | 4 | 12 | no | — |
| 148 | C2×Q8×C13 | C24 | 1 | 6 | yes | — |
| 149 | C2×D4×C13 | C24 | 1 | 6 | yes | — |
| 150 | C2×D4×C13 | C24 | 1 | 12 | yes | — |
| 151 | C22×C4×C13 | — | 4 | 6 | no | — |
| 152 | C22×C4×C13 | C24 | 1 | 12 | yes | — |
| 153 | C22×C4×C13 | C24 | 1 | 6 | yes | — |
| 154 | C22×C4×C13 | C24 | 1 | 3 | yes | — |
| 155 | C22×C4×C13 | C24 | 1 | 3 | yes | — |
| 156 | C22×C4×C13 | C24 | 1 | 6 | yes | — |
| 157 | C2×C22⋊D13 | C24 | 1 | 24 | yes | — |
| 158 | C2×C22⋊D13 | C24 | 1 | 24 | yes | — |
| 159 | C22×Dic13 | C24 | 1 | 12 | yes | — |
| 160 | #6127 | — | 4 | 24 | no | — |
| 161 | #6127 | — | 4 | 24 | no | — |
| 162 | C2×D52 | C24 | 1 | 12 | yes | — |
| 163 | C2×D52 | C24 | 1 | 12 | yes | — |
| 164 | C2×C4×D13 | — | 4 | 24 | no | — |
| 165 | C2×C4×D13 | C24 | 1 | 24 | yes | — |
| 166 | C2×C4×D13 | C24 | 1 | 24 | yes | — |
| 167 | C2×Dic26 | C24 | 1 | 12 | yes | — |
| 168 | C2×Dic26 | C24 | 1 | 12 | yes | — |
| 169 | C13×C4⋊C4 | C24 | 1 | 24 | yes | — |
| 170 | C13×C4⋊C4 | C24 | 1 | 12 | yes | — |
| 171 | C13×C22⋊C4 | C24 | 1 | 24 | yes | — |
| 172 | C13×C22⋊C4 | C24 | 1 | 12 | yes | — |
| 173 | C42×C13 | C24 | 1 | 3 | yes | — |
| 174 | C42×C13 | C24 | 1 | 12 | yes | — |
| 175 | C42×C13 | C24 | 1 | 6 | yes | — |
| 176 | C42×C13 | C24 | 1 | 2 | yes | — |
| 177 | C42×C13 | C24 | 1 | 3 | yes | — |
| 178 | C42×C13 | C24 | 1 | 1 | yes | characteristic |
| 179 | C42×C13 | C24 | 1 | 1 | yes | characteristic |
| 180 | C22⋊Dic13 | C24 | 1 | 12 | yes | — |
| 181 | C22⋊Dic13 | C24 | 1 | 12 | yes | — |
| 182 | C22⋊Dic13 | C24 | 1 | 24 | yes | — |
| 183 | #6103 | C24 | 1 | 24 | yes | — |
| 184 | #6103 | C24 | 1 | 24 | yes | — |
| 185 | #6103 | C24 | 1 | 24 | yes | — |
| 186 | #6103 | C24 | 1 | 24 | yes | — |
| 187 | C4⋊Dic13 | C24 | 1 | 12 | yes | — |
| 188 | C4⋊Dic13 | C24 | 1 | 12 | yes | — |
| 189 | C4⋊Dic13 | C24 | 1 | 24 | yes | — |
| 190 | #6101 | C24 | 1 | 24 | yes | — |
| 191 | #6101 | C24 | 1 | 24 | yes | — |
| 192 | #6101 | C24 | 1 | 24 | yes | — |
| 193 | #6101 | C24 | 1 | 24 | yes | — |
| 194 | C4×Dic13 | C24 | 1 | 24 | yes | — |
| 195 | C4×Dic13 | C24 | 1 | 12 | yes | — |
| 196 | C4×Dic13 | C24 | 1 | 12 | yes | — |
| 197 | #3531 | — | 13 | 6 | no | — |
| 198 | #3531 | — | 13 | 12 | no | — |
| 199 | #3529 | — | 13 | 6 | no | — |
| 200 | #3529 | — | 13 | 12 | no | — |
| 201 | #3529 | — | 13 | 12 | no | — |
| 202 | #3444 | — | 13 | 2 | no | — |
| 203 | #3444 | — | 13 | 12 | no | — |
| 204 | #3444 | D13 | 1 | 1 | yes | characteristic, complemented |
| 205 | C23×C13 | — | 4 | 3 | no | — |
| 206 | C23×C13 | C25 | 1 | 3 | yes | — |
| 207 | C23×C13 | C25 | 1 | 4 | yes | — |
| 208 | C22×D13 | — | 4 | 12 | no | — |
| 209 | C22×D13 | C25 | 1 | 8 | yes | — |
| 210 | Q8×C13 | — | 4 | 6 | no | — |
| 211 | D4×C13 | — | 4 | 12 | no | — |
| 212 | D4×C13 | — | 4 | 6 | no | — |
| 213 | C2×C4×C13 | — | 2 | 24 | no | — |
| 214 | C2×C4×C13 | — | 2 | 12 | no | — |
| 215 | C2×C4×C13 | — | 2 | 6 | no | — |
| 216 | C2×C4×C13 | — | 4 | 3 | no | — |
| 217 | C2×C4×C13 | — | 4 | 6 | no | — |
| 218 | C2×C4×C13 | C25 | 1 | 12 | yes | — |
| 219 | C2×C4×C13 | C25 | 1 | 3 | yes | — |
| 220 | C2×C4×C13 | C25 | 1 | 6 | yes | — |
| 221 | C2×C4×C13 | C25 | 1 | 3 | yes | — |
| 222 | C22⋊D13 | — | 4 | 24 | no | — |
| 223 | C22⋊D13 | — | 4 | 24 | no | — |
| 224 | C2×Dic13 | — | 4 | 12 | no | — |
| 225 | C2×Dic13 | C25 | 1 | 24 | yes | — |
| 226 | D52 | — | 4 | 12 | no | — |
| 227 | D52 | — | 4 | 12 | no | — |
| 228 | C4×D13 | — | 2 | 48 | no | — |
| 229 | C4×D13 | — | 4 | 24 | no | — |
| 230 | Dic26 | — | 4 | 12 | no | — |
| 231 | Dic26 | — | 4 | 12 | no | — |
| 232 | #564 | — | 13 | 6 | no | — |
| 233 | #563 | — | 13 | 12 | no | — |
| 234 | #563 | — | 13 | 24 | no | — |
| 235 | #563 | — | 13 | 12 | no | — |
| 236 | #563 | — | 13 | 6 | no | — |
| 237 | #563 | — | 13 | 12 | no | — |
| 238 | #563 | — | 13 | 24 | no | — |
| 239 | #562 | — | 13 | 6 | no | — |
| 240 | #562 | — | 13 | 12 | no | — |
| 241 | #562 | — | 13 | 24 | no | — |
| 242 | #562 | — | 13 | 24 | no | — |
| 243 | #562 | — | 13 | 24 | no | — |
| 244 | H(3,𝔽4) | — | 13 | 6 | no | — |
| 245 | H(3,𝔽4) | — | 13 | 4 | no | — |
| 246 | #560 | — | 13 | 4 | no | — |
| 247 | #560 | — | 13 | 8 | no | — |
| 248 | #560 | — | 13 | 12 | no | — |
| 249 | #560 | — | 13 | 24 | no | — |
| 250 | #560 | — | 13 | 12 | no | — |
| 251 | #533 | — | 13 | 24 | no | — |
| 252 | #533 | — | 13 | 12 | no | — |
| 253 | #533 | — | 13 | 6 | no | — |
| 254 | #533 | C2×D13 | 1 | 3 | yes | complemented |
| 255 | #532 | — | 13 | 12 | no | — |
| 256 | #532 | — | 13 | 24 | no | — |
| 257 | #532 | — | 13 | 6 | no | — |
| 258 | #532 | C2×D13 | 1 | 3 | yes | — |
| 259 | #529 | — | 13 | 24 | no | — |
| 260 | #529 | — | 13 | 24 | no | — |
| 261 | #529 | — | 13 | 24 | no | — |
| 262 | #529 | — | 13 | 24 | no | — |
| 263 | #529 | — | 13 | 24 | no | — |
| 264 | #529 | — | 13 | 24 | no | — |
| 265 | #529 | — | 13 | 12 | no | — |
| 266 | #529 | — | 13 | 12 | no | — |
| 267 | #529 | C2×D13 | 1 | 12 | yes | complemented |
| 268 | #525 | — | 13 | 12 | no | — |
| 269 | #525 | — | 13 | 12 | no | — |
| 270 | #525 | — | 13 | 24 | no | — |
| 271 | #525 | — | 13 | 24 | no | — |
| 272 | #525 | — | 13 | 12 | no | — |
| 273 | #525 | C2×D13 | 1 | 6 | yes | complemented |
| 274 | C4×#41 | — | 13 | 12 | no | — |
| 275 | C4×#41 | — | 13 | 12 | no | — |
| 276 | C4×#41 | C2×D13 | 1 | 6 | yes | complemented |
| 277 | C22×C42 | — | 13 | 4 | no | — |
| 278 | C22×C42 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 279 | C22×C13 | — | 2 | 12 | no | — |
| 280 | C22×C13 | — | 2 | 6 | no | — |
| 281 | C22×C13 | — | 2 | 3 | no | — |
| 282 | C22×C13 | — | 4 | 4 | no | — |
| 283 | C22×C13 | C26 | 1 | 1 | yes | characteristic |
| 284 | C2×D13 | — | 2 | 24 | no | — |
| 285 | C2×D13 | — | 4 | 16 | no | — |
| 286 | C4×C13 | — | 2 | 6 | no | — |
| 287 | C4×C13 | — | 2 | 12 | no | — |
| 288 | C4×C13 | — | 2 | 3 | no | — |
| 289 | C4×C13 | #585 | 1 | 6 | yes | — |
| 290 | Dic13 | — | 2 | 24 | no | — |
| 291 | C2×#41 | — | 13 | 12 | no | — |
| 292 | C2×#41 | — | 13 | 12 | no | — |
| 293 | C2×#41 | C22×D13 | 1 | 6 | yes | — |
| 294 | C23×C4 | — | 13 | 12 | no | — |
| 295 | C23×C4 | C22×D13 | 1 | 3 | yes | — |
| 296 | C4⋊Q8 | — | 13 | 12 | no | — |
| 297 | C4⋊Q8 | — | 13 | 24 | no | — |
| 298 | C4⋊Q8 | — | 13 | 6 | no | — |
| 299 | C4⋊Q8 | C22×D13 | 1 | 3 | yes | — |
| 300 | #127 | — | 13 | 12 | no | — |
| 301 | #127 | — | 13 | 2 | no | — |
| 302 | #127 | C22×D13 | 1 | 1 | yes | characteristic |
| 303 | #126 | — | 13 | 24 | no | — |
| 304 | #126 | — | 13 | 24 | no | — |
| 305 | #126 | — | 13 | 24 | no | — |
| 306 | #126 | — | 13 | 24 | no | — |
| 307 | #126 | — | 13 | 8 | no | — |
| 308 | #126 | — | 13 | 8 | no | — |
| 309 | #126 | C22×D13 | 1 | 8 | yes | — |
| 310 | #125 | — | 13 | 24 | no | — |
| 311 | #125 | — | 13 | 24 | no | — |
| 312 | #125 | — | 13 | 24 | no | — |
| 313 | #125 | — | 13 | 12 | no | — |
| 314 | #125 | C22×D13 | 1 | 6 | yes | — |
| 315 | #124 | — | 13 | 12 | no | — |
| 316 | #124 | — | 13 | 12 | no | — |
| 317 | #124 | — | 13 | 24 | no | — |
| 318 | #124 | — | 13 | 24 | no | — |
| 319 | #124 | — | 13 | 12 | no | — |
| 320 | #124 | C22×D13 | 1 | 6 | yes | — |
| 321 | #123 | — | 13 | 12 | no | — |
| 322 | #123 | — | 13 | 12 | no | — |
| 323 | #123 | — | 13 | 24 | no | — |
| 324 | #123 | — | 13 | 24 | no | — |
| 325 | #123 | — | 13 | 24 | no | — |
| 326 | #123 | — | 13 | 24 | no | — |
| 327 | #123 | — | 13 | 24 | no | — |
| 328 | #123 | — | 13 | 24 | no | — |
| 329 | #123 | C22×D13 | 1 | 12 | yes | — |
| 330 | C22⋊Q8 | — | 13 | 24 | no | — |
| 331 | C22⋊Q8 | — | 13 | 12 | no | — |
| 332 | C22⋊Q8 | — | 13 | 12 | no | — |
| 333 | C22⋊Q8 | — | 13 | 24 | no | — |
| 334 | C22⋊Q8 | — | 13 | 24 | no | — |
| 335 | C22⋊Q8 | — | 13 | 24 | no | — |
| 336 | C22⋊Q8 | — | 13 | 24 | no | — |
| 337 | C22⋊Q8 | — | 13 | 24 | no | — |
| 338 | C22⋊Q8 | C22×D13 | 1 | 12 | yes | — |
| 339 | #121 | — | 13 | 24 | no | — |
| 340 | #121 | — | 13 | 24 | no | — |
| 341 | #121 | — | 13 | 24 | no | — |
| 342 | #121 | — | 13 | 12 | no | — |
| 343 | #121 | — | 13 | 12 | no | — |
| 344 | #121 | — | 13 | 24 | no | — |
| 345 | #121 | — | 13 | 24 | no | — |
| 346 | #121 | — | 13 | 24 | no | — |
| 347 | #121 | C22×D13 | 1 | 12 | yes | — |
| 348 | #120 | — | 13 | 8 | no | — |
| 349 | #120 | — | 13 | 12 | no | — |
| 350 | #120 | — | 13 | 12 | no | — |
| 351 | #120 | — | 13 | 24 | no | — |
| 352 | #120 | C22×D13 | 1 | 4 | yes | — |
| 353 | C4×Q8 | — | 13 | 24 | no | — |
| 354 | C4×Q8 | — | 13 | 12 | no | — |
| 355 | C4×Q8 | — | 13 | 12 | no | — |
| 356 | C4×Q8 | C22×D13 | 1 | 12 | yes | — |
| 357 | C4×D4 | — | 13 | 24 | no | — |
| 358 | C4×D4 | — | 13 | 24 | no | — |
| 359 | C4×D4 | — | 13 | 24 | no | — |
| 360 | C4×D4 | — | 13 | 24 | no | — |
| 361 | C4×D4 | — | 13 | 24 | no | — |
| 362 | C4×D4 | — | 13 | 12 | no | — |
| 363 | C4×D4 | — | 13 | 12 | no | — |
| 364 | C4×D4 | C22×D13 | 1 | 12 | yes | — |
| 365 | C4×D4 | C22×D13 | 1 | 24 | yes | — |
| 366 | #117 | — | 13 | 12 | no | — |
| 367 | #117 | — | 13 | 12 | no | — |
| 368 | #117 | — | 13 | 24 | no | — |
| 369 | #117 | — | 13 | 24 | no | — |
| 370 | #117 | C22×D13 | 1 | 12 | yes | — |
| 371 | #117 | C22×D13 | 1 | 6 | yes | — |
| 372 | C2×C42 | — | 13 | 12 | no | — |
| 373 | C2×C42 | — | 13 | 24 | no | — |
| 374 | C2×C42 | — | 13 | 8 | no | — |
| 375 | C2×C42 | C22×D13 | 1 | 3 | yes | — |
| 376 | C2×C42 | C22×D13 | 1 | 6 | yes | — |
| 377 | C2×C42 | C22×D13 | 1 | 3 | yes | — |
| 378 | C2×C42 | C22×D13 | 1 | 4 | yes | — |
| 379 | C2×C13 | — | 4 | 4 | no | — |
| 380 | C2×C13 | — | 4 | 3 | no | — |
| 381 | C2×C13 | C2×#585 | 1 | 3 | yes | — |
| 382 | D13 | — | 4 | 8 | no | — |
| 383 | C24 | — | 13 | 4 | no | — |
| 384 | C24 | C23×D13 | 1 | 1 | yes | characteristic |
| 385 | #41 | — | 4 | 12 | no | — |
| 386 | #41 | — | 52 | 24 | no | — |
| 387 | #41 | — | 52 | 24 | no | — |
| 388 | C2×Q8 | — | 13 | 12 | no | — |
| 389 | C2×Q8 | — | 13 | 12 | no | — |
| 390 | C2×Q8 | C23×D13 | 1 | 6 | yes | — |
| 391 | C2×D4 | — | 13 | 24 | no | — |
| 392 | C2×D4 | — | 13 | 24 | no | — |
| 393 | C2×D4 | — | 13 | 12 | no | — |
| 394 | C2×D4 | — | 13 | 12 | no | — |
| 395 | C2×D4 | C23×D13 | 1 | 6 | yes | — |
| 396 | C2×D4 | C23×D13 | 1 | 12 | yes | — |
| 397 | C22×C4 | — | 4 | 6 | no | — |
| 398 | C22×C4 | — | 13 | 12 | no | — |
| 399 | C22×C4 | — | 13 | 24 | no | — |
| 400 | C22×C4 | — | 13 | 24 | no | — |
| 401 | C22×C4 | — | 52 | 24 | no | — |
| 402 | C22×C4 | C23×D13 | 1 | 12 | yes | — |
| 403 | C22×C4 | C23×D13 | 1 | 6 | yes | — |
| 404 | C22×C4 | C23×D13 | 1 | 3 | yes | — |
| 405 | C22×C4 | C23×D13 | 1 | 3 | yes | — |
| 406 | C22×C4 | C23×D13 | 1 | 6 | yes | — |
| 407 | C4⋊C4 | — | 13 | 24 | no | — |
| 408 | C4⋊C4 | — | 13 | 24 | no | — |
| 409 | C4⋊C4 | — | 13 | 24 | no | — |
| 410 | C4⋊C4 | — | 13 | 24 | no | — |
| 411 | C4⋊C4 | — | 13 | 24 | no | — |
| 412 | C4⋊C4 | — | 13 | 12 | no | — |
| 413 | C4⋊C4 | — | 13 | 12 | no | — |
| 414 | C4⋊C4 | C23×D13 | 1 | 24 | yes | — |
| 415 | C4⋊C4 | C23×D13 | 1 | 12 | yes | — |
| 416 | C22⋊C4 | — | 13 | 24 | no | — |
| 417 | C22⋊C4 | — | 13 | 12 | no | — |
| 418 | C22⋊C4 | — | 13 | 12 | no | — |
| 419 | C22⋊C4 | — | 13 | 24 | no | — |
| 420 | C22⋊C4 | — | 13 | 24 | no | — |
| 421 | C22⋊C4 | — | 13 | 24 | no | — |
| 422 | C22⋊C4 | — | 13 | 24 | no | — |
| 423 | C22⋊C4 | C23×D13 | 1 | 24 | yes | — |
| 424 | C22⋊C4 | C23×D13 | 1 | 12 | yes | — |
| 425 | C42 | — | 13 | 24 | no | — |
| 426 | C42 | — | 13 | 12 | no | — |
| 427 | C42 | — | 13 | 12 | no | — |
| 428 | C42 | C23×D13 | 1 | 12 | yes | — |
| 429 | C42 | C23×D13 | 1 | 6 | yes | — |
| 430 | C42 | C23×D13 | 1 | 3 | yes | — |
| 431 | C42 | C23×D13 | 1 | 3 | yes | — |
| 432 | C42 | C23×D13 | 1 | 1 | yes | characteristic |
| 433 | C42 | C23×D13 | 1 | 2 | yes | — |
| 434 | C42 | C23×D13 | 1 | 1 | yes | characteristic |
| 435 | C13 | #62694 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 436 | C23 | — | 4 | 3 | no | — |
| 437 | C23 | — | 13 | 8 | no | — |
| 438 | C23 | — | 52 | 12 | no | — |
| 439 | C23 | C24×D13 | 1 | 3 | yes | — |
| 440 | C23 | C24×D13 | 1 | 4 | yes | — |
| 441 | Q8 | — | 4 | 6 | no | — |
| 442 | Q8 | — | 52 | 12 | no | — |
| 443 | Q8 | — | 52 | 12 | no | — |
| 444 | D4 | — | 4 | 6 | no | — |
| 445 | D4 | — | 4 | 12 | no | — |
| 446 | D4 | — | 52 | 12 | no | — |
| 447 | D4 | — | 52 | 12 | no | — |
| 448 | D4 | — | 52 | 24 | no | — |
| 449 | D4 | — | 52 | 24 | no | — |
| 450 | C2×C4 | — | 2 | 6 | no | — |
| 451 | C2×C4 | — | 2 | 12 | no | — |
| 452 | C2×C4 | — | 2 | 24 | no | — |
| 453 | C2×C4 | — | 4 | 6 | no | — |
| 454 | C2×C4 | — | 4 | 3 | no | — |
| 455 | C2×C4 | — | 13 | 24 | no | — |
| 456 | C2×C4 | — | 26 | 48 | no | — |
| 457 | C2×C4 | — | 52 | 24 | no | — |
| 458 | C2×C4 | — | 52 | 12 | no | — |
| 459 | C2×C4 | C24×D13 | 1 | 12 | yes | — |
| 460 | C2×C4 | C24×D13 | 1 | 3 | yes | — |
| 461 | C2×C4 | C24×D13 | 1 | 6 | yes | — |
| 462 | C2×C4 | C24×D13 | 1 | 3 | yes | — |
| 463 | C22 | — | 2 | 3 | no | — |
| 464 | C22 | — | 2 | 6 | no | — |
| 465 | C22 | — | 2 | 12 | no | — |
| 466 | C22 | — | 4 | 4 | no | — |
| 467 | C22 | — | 26 | 24 | no | — |
| 468 | C22 | — | 52 | 16 | no | — |
| 469 | C22 | C25×D13 | 1 | 1 | yes | characteristic |
| 470 | C4 | — | 2 | 3 | no | — |
| 471 | C4 | — | 2 | 6 | no | — |
| 472 | C4 | — | 2 | 12 | no | — |
| 473 | C4 | — | 26 | 24 | no | — |
| 474 | C4 | #11719648 | 1 | 6 | yes | — |
| 475 | C2 | — | 4 | 3 | no | — |
| 476 | C2 | — | 4 | 4 | no | — |
| 477 | C2 | — | 52 | 8 | no | — |
| 478 | C2 | C2×#11719648 | 1 | 3 | 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