← #16737731
Subgroups — #16737731
Order 3328.
1768 conjugacy classes of subgroups.
The subgroup lattice has 586 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #13128737 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #13126291 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #13125988 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #13125953 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #13125793 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #13125764 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #13125732 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #13125550 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #13125422 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13125094 | C2 | 1 | 8 | yes | maximal, complemented |
| 11 | #13123478 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C13×#3169 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | C13×#532 | C22 | 1 | 2 | yes | — |
| 14 | #11719536 | — | 2 | 2 | no | — |
| 15 | #11719529 | — | 2 | 2 | no | — |
| 16 | #11719433 | C22 | 1 | 2 | yes | — |
| 17 | D13×C4⋊Q8 | C22 | 1 | 2 | yes | — |
| 18 | #11719421 | C22 | 1 | 2 | yes | — |
| 19 | #11719421 | C22 | 1 | 2 | yes | — |
| 20 | #11719382 | — | 2 | 2 | no | — |
| 21 | #11719376 | — | 2 | 2 | no | — |
| 22 | #11719321 | — | 2 | 2 | no | — |
| 23 | #11719319 | — | 2 | 2 | no | — |
| 24 | #11719313 | C22 | 1 | 4 | yes | — |
| 25 | #11719308 | C22 | 1 | 4 | yes | — |
| 26 | #11719266 | C22 | 1 | 4 | yes | — |
| 27 | #11719263 | — | 2 | 2 | no | — |
| 28 | #11719251 | C22 | 1 | 4 | yes | — |
| 29 | #11719244 | — | 2 | 2 | no | — |
| 30 | C4×#6127 | C22 | 1 | 1 | yes | characteristic |
| 31 | #11719175 | C22 | 1 | 2 | yes | — |
| 32 | C13×#500 | C22 | 1 | 1 | yes | characteristic |
| 33 | C13×#493 | C22 | 1 | 1 | yes | characteristic |
| 34 | C13×#486 | C22 | 1 | 2 | yes | — |
| 35 | C13×#466 | C22 | 1 | 4 | yes | — |
| 36 | C4×C13×D8 | C22 | 1 | 4 | yes | — |
| 37 | C2×C4×C8×C13 | C22 | 1 | 1 | yes | characteristic |
| 38 | #11718819 | C22 | 1 | 8 | yes | — |
| 39 | #11718814 | C22 | 1 | 8 | yes | — |
| 40 | #11718777 | C22 | 1 | 4 | yes | — |
| 41 | #11718771 | C22 | 1 | 2 | yes | — |
| 42 | #11718763 | C22 | 1 | 2 | yes | — |
| 43 | #11718754 | C22 | 1 | 2 | yes | — |
| 44 | #11718739 | C22 | 1 | 2 | yes | — |
| 45 | #11718737 | C22 | 1 | 2 | yes | — |
| 46 | #11718731 | C22 | 1 | 2 | yes | — |
| 47 | #11718703 | C22 | 1 | 8 | yes | — |
| 48 | #11718679 | C22 | 1 | 8 | yes | — |
| 49 | C4×#6099 | C22 | 1 | 1 | yes | characteristic |
| 50 | #11718545 | C22 | 1 | 8 | yes | — |
| 51 | #11718536 | C22 | 1 | 8 | yes | — |
| 52 | #11718444 | C22 | 1 | 8 | yes | — |
| 53 | #11718435 | C22 | 1 | 8 | yes | — |
| 54 | #11718428 | C22 | 1 | 8 | yes | — |
| 55 | #11718420 | C22 | 1 | 8 | yes | — |
| 56 | #11718360 | C22 | 1 | 1 | yes | characteristic |
| 57 | C4×Dic52 | C22 | 1 | 4 | yes | — |
| 58 | #11718351 | C22 | 1 | 4 | yes | — |
| 59 | #11718346 | C22 | 1 | 2 | yes | — |
| 60 | #11718346 | C22 | 1 | 2 | yes | — |
| 61 | #11718343 | C22 | 1 | 1 | yes | characteristic |
| 62 | #11718342 | C22 | 1 | 2 | yes | — |
| 63 | C2×C13×#41 | — | 2 | 2 | no | — |
| 64 | C2×Q8×D13 | — | 2 | 2 | no | — |
| 65 | C2×#6129 | — | 2 | 2 | no | — |
| 66 | C2×#6129 | C23 | 1 | 4 | yes | — |
| 67 | C2×#6127 | C23 | 1 | 1 | yes | characteristic |
| 68 | C2×C13×D8 | C23 | 1 | 4 | yes | — |
| 69 | C22×C8×C13 | C23 | 1 | 2 | yes | — |
| 70 | C13×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 71 | C13×#127 | C23 | 1 | 2 | yes | — |
| 72 | C13×#124 | — | 2 | 2 | no | — |
| 73 | C13×#121 | — | 2 | 2 | no | — |
| 74 | C13×#121 | C23 | 1 | 4 | yes | — |
| 75 | C4×D4×C13 | — | 2 | 2 | no | — |
| 76 | C4×D4×C13 | C23 | 1 | 4 | yes | — |
| 77 | C2×C42×C13 | C23 | 1 | 1 | yes | characteristic |
| 78 | #88200 | — | 2 | 2 | no | — |
| 79 | Q8×Dic13 | — | 2 | 2 | no | — |
| 80 | #88198 | — | 2 | 2 | no | — |
| 81 | #88193 | — | 2 | 4 | no | — |
| 82 | #88192 | — | 2 | 4 | no | — |
| 83 | #88192 | — | 2 | 2 | no | — |
| 84 | #88192 | — | 2 | 2 | no | — |
| 85 | #88192 | — | 2 | 2 | no | — |
| 86 | #88192 | C23 | 1 | 4 | yes | — |
| 87 | #88190 | — | 2 | 4 | no | — |
| 88 | #88190 | — | 2 | 2 | no | — |
| 89 | #88190 | C23 | 1 | 4 | yes | — |
| 90 | #88189 | — | 2 | 4 | no | — |
| 91 | D4×Dic13 | — | 2 | 2 | no | — |
| 92 | D4×Dic13 | — | 2 | 2 | no | — |
| 93 | D4×Dic13 | — | 2 | 2 | no | — |
| 94 | D4×Dic13 | C23 | 1 | 4 | yes | — |
| 95 | C2×#6105 | C23 | 1 | 8 | yes | — |
| 96 | #88183 | — | 2 | 4 | no | — |
| 97 | C4×C22⋊D13 | — | 2 | 4 | no | — |
| 98 | C4×C22⋊D13 | D4 | 1 | 2 | yes | — |
| 99 | C4×C22⋊D13 | D4 | 1 | 2 | yes | — |
| 100 | #88180 | — | 2 | 2 | no | — |
| 101 | #88180 | C23 | 1 | 1 | yes | characteristic |
| 102 | #88178 | — | 2 | 2 | no | — |
| 103 | #88178 | — | 2 | 4 | no | — |
| 104 | #88178 | C23 | 1 | 4 | yes | — |
| 105 | C2×#6101 | — | 2 | 4 | no | — |
| 106 | C2×#6099 | C23 | 1 | 2 | yes | — |
| 107 | C2×Dic52 | C23 | 1 | 4 | yes | — |
| 108 | #88151 | C23 | 1 | 4 | yes | — |
| 109 | #88146 | — | 2 | 2 | no | — |
| 110 | C4⋊C4×D13 | — | 2 | 2 | no | — |
| 111 | C4⋊C4×D13 | C23 | 1 | 4 | yes | — |
| 112 | #88144 | — | 2 | 2 | no | — |
| 113 | #88142 | — | 2 | 2 | no | — |
| 114 | #88142 | C23 | 1 | 4 | yes | — |
| 115 | #88141 | C23 | 1 | 4 | yes | — |
| 116 | #88139 | — | 2 | 4 | no | — |
| 117 | #88138 | — | 2 | 4 | no | — |
| 118 | #88135 | — | 2 | 4 | no | — |
| 119 | #88133 | — | 2 | 4 | no | — |
| 120 | #88133 | — | 2 | 4 | no | — |
| 121 | #88132 | — | 2 | 4 | no | — |
| 122 | #88132 | — | 2 | 4 | no | — |
| 123 | #88131 | — | 2 | 4 | no | — |
| 124 | C4×D52 | D4 | 1 | 1 | yes | characteristic |
| 125 | C4×D52 | D4 | 1 | 1 | yes | characteristic |
| 126 | #88126 | C23 | 1 | 2 | yes | — |
| 127 | C42×D13 | C23 | 1 | 2 | yes | — |
| 128 | #88124 | — | 2 | 2 | no | — |
| 129 | #88123 | C23 | 1 | 2 | yes | — |
| 130 | #88123 | C23 | 1 | 2 | yes | — |
| 131 | C4×Dic26 | — | 2 | 2 | no | — |
| 132 | C4×Dic26 | D4 | 1 | 1 | yes | characteristic |
| 133 | C4×Dic26 | D4 | 1 | 1 | yes | characteristic |
| 134 | C4×Dic26 | C23 | 1 | 4 | yes | — |
| 135 | C13×#107 | C23 | 1 | 4 | yes | — |
| 136 | C13×#102 | C23 | 1 | 8 | yes | — |
| 137 | C4×C8×C13 | C23 | 1 | 2 | yes | — |
| 138 | C4×C8×C13 | C23 | 1 | 1 | yes | characteristic |
| 139 | C4×C8×C13 | C23 | 1 | 1 | yes | characteristic |
| 140 | #88072 | C23 | 1 | 8 | yes | — |
| 141 | #88060 | C23 | 1 | 4 | yes | — |
| 142 | #88060 | C23 | 1 | 4 | yes | — |
| 143 | #88058 | C23 | 1 | 4 | yes | — |
| 144 | #88056 | C23 | 1 | 8 | yes | — |
| 145 | #88054 | C23 | 1 | 4 | yes | — |
| 146 | #88054 | C23 | 1 | 4 | yes | — |
| 147 | #88050 | C23 | 1 | 8 | yes | — |
| 148 | #88047 | C23 | 1 | 8 | yes | — |
| 149 | #88043 | C23 | 1 | 2 | yes | — |
| 150 | C4×#1055 | C23 | 1 | 2 | yes | — |
| 151 | #61014 | — | 13 | 1 | no | maximal, Sylow |
| 152 | C13×#41 | — | 8 | 4 | no | — |
| 153 | C2×Q8×C13 | — | 2 | 2 | no | — |
| 154 | C2×D4×C13 | — | 2 | 4 | no | — |
| 155 | C2×D4×C13 | — | 2 | 2 | no | — |
| 156 | C2×D4×C13 | — | 2 | 2 | no | — |
| 157 | C2×D4×C13 | C24 | 1 | 4 | yes | — |
| 158 | C22×C4×C13 | — | 2 | 4 | no | — |
| 159 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 160 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 161 | C22×C4×C13 | C24 | 1 | 1 | yes | characteristic |
| 162 | C2×C22⋊D13 | — | 2 | 4 | no | — |
| 163 | C2×C22⋊D13 | — | 2 | 4 | no | — |
| 164 | C2×C22⋊D13 | C2×D4 | 1 | 2 | yes | — |
| 165 | C22×Dic13 | — | 2 | 4 | no | — |
| 166 | C22×Dic13 | — | 2 | 4 | no | — |
| 167 | Q8×D13 | — | 8 | 4 | no | — |
| 168 | #6129 | — | 4 | 8 | no | — |
| 169 | #6129 | — | 8 | 4 | no | — |
| 170 | #6127 | — | 4 | 2 | no | — |
| 171 | C2×D52 | C2×D4 | 1 | 1 | yes | characteristic |
| 172 | C2×C4×D13 | — | 2 | 4 | no | — |
| 173 | C2×C4×D13 | C2×D4 | 1 | 2 | yes | — |
| 174 | C2×C4×D13 | C2×D4 | 1 | 2 | yes | — |
| 175 | C2×C4×D13 | C24 | 1 | 2 | yes | — |
| 176 | C2×Dic26 | — | 2 | 2 | no | — |
| 177 | C2×Dic26 | — | 2 | 4 | no | — |
| 178 | C2×Dic26 | C2×D4 | 1 | 1 | yes | characteristic |
| 179 | C2×Dic26 | C24 | 1 | 4 | yes | — |
| 180 | C13×D8 | — | 4 | 4 | no | — |
| 181 | C2×C8×C13 | — | 4 | 2 | no | — |
| 182 | C2×C8×C13 | C24 | 1 | 2 | yes | — |
| 183 | C2×C8×C13 | C24 | 1 | 2 | yes | — |
| 184 | C13×C4⋊C4 | — | 2 | 2 | no | — |
| 185 | C13×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 186 | C13×C22⋊C4 | — | 2 | 4 | no | — |
| 187 | C13×C22⋊C4 | — | 2 | 4 | no | — |
| 188 | C42×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 189 | C42×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | C42×C13 | C24 | 1 | 1 | yes | characteristic |
| 191 | C42×C13 | C24 | 1 | 1 | yes | characteristic |
| 192 | C22⋊Dic13 | — | 2 | 4 | no | — |
| 193 | C22⋊Dic13 | — | 2 | 4 | no | — |
| 194 | C22⋊Dic13 | — | 2 | 4 | no | — |
| 195 | C22⋊Dic13 | — | 2 | 4 | no | — |
| 196 | C22⋊Dic13 | — | 2 | 4 | no | — |
| 197 | C22⋊Dic13 | C2×D4 | 1 | 2 | yes | — |
| 198 | #6105 | — | 4 | 8 | no | — |
| 199 | #6103 | — | 2 | 4 | no | — |
| 200 | #6103 | C2×D4 | 1 | 2 | yes | — |
| 201 | #6103 | C2×D4 | 1 | 2 | yes | — |
| 202 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 203 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 204 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 205 | C4⋊Dic13 | — | 2 | 4 | no | — |
| 206 | C4⋊Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 207 | C4⋊Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 208 | C4⋊Dic13 | C24 | 1 | 4 | yes | — |
| 209 | #6101 | — | 2 | 4 | no | — |
| 210 | #6101 | — | 2 | 4 | no | — |
| 211 | #6101 | — | 2 | 4 | no | — |
| 212 | #6101 | — | 2 | 4 | no | — |
| 213 | #6101 | — | 2 | 4 | no | — |
| 214 | #6101 | C2×D4 | 1 | 2 | yes | — |
| 215 | #6101 | C2×D4 | 1 | 2 | yes | — |
| 216 | C4×Dic13 | — | 2 | 4 | no | — |
| 217 | C4×Dic13 | — | 2 | 4 | no | — |
| 218 | C4×Dic13 | C2×D4 | 1 | 2 | yes | — |
| 219 | C4×Dic13 | C2×D4 | 1 | 2 | yes | — |
| 220 | C4×Dic13 | C24 | 1 | 2 | yes | — |
| 221 | #6099 | — | 4 | 2 | no | — |
| 222 | C2×#1055 | C24 | 1 | 4 | yes | — |
| 223 | Dic52 | — | 4 | 4 | no | — |
| 224 | #3511 | — | 13 | 2 | no | — |
| 225 | #3262 | — | 13 | 4 | no | — |
| 226 | #3230 | — | 13 | 2 | no | — |
| 227 | #3226 | — | 13 | 2 | no | — |
| 228 | #3210 | — | 13 | 2 | no | — |
| 229 | #3207 | — | 13 | 2 | no | — |
| 230 | #3203 | — | 13 | 4 | no | — |
| 231 | #3182 | — | 13 | 2 | no | — |
| 232 | #3170 | — | 13 | 1 | no | — |
| 233 | #3169 | D13 | 1 | 1 | yes | characteristic, complemented |
| 234 | #3124 | — | 13 | 8 | no | — |
| 235 | #2922 | — | 13 | 1 | no | — |
| 236 | C23×C13 | — | 2 | 4 | no | — |
| 237 | C23×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 238 | C22×D13 | C22×D4 | 1 | 2 | yes | — |
| 239 | Q8×C13 | — | 4 | 4 | no | — |
| 240 | D4×C13 | — | 2 | 8 | no | — |
| 241 | D4×C13 | — | 4 | 4 | no | — |
| 242 | D4×C13 | — | 4 | 4 | no | — |
| 243 | D4×C13 | — | 8 | 4 | no | — |
| 244 | C2×C4×C13 | — | 2 | 2 | no | — |
| 245 | C2×C4×C13 | — | 2 | 2 | no | — |
| 246 | C2×C4×C13 | — | 2 | 2 | no | — |
| 247 | C2×C4×C13 | — | 2 | 4 | no | — |
| 248 | C2×C4×C13 | — | 8 | 4 | no | — |
| 249 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 250 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 251 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 252 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 253 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 254 | C2×C4×C13 | C25 | 1 | 1 | yes | characteristic |
| 255 | C22⋊D13 | — | 4 | 2 | no | — |
| 256 | C22⋊D13 | — | 4 | 8 | no | — |
| 257 | C22⋊D13 | — | 8 | 4 | no | — |
| 258 | C2×Dic13 | — | 2 | 4 | no | — |
| 259 | C2×Dic13 | — | 2 | 4 | no | — |
| 260 | C2×Dic13 | — | 4 | 8 | no | — |
| 261 | C2×Dic13 | — | 8 | 4 | no | — |
| 262 | C2×Dic13 | C22×D4 | 1 | 2 | yes | — |
| 263 | C2×Dic13 | C22×D4 | 1 | 2 | yes | — |
| 264 | C2×Dic13 | C22×D4 | 1 | 2 | yes | — |
| 265 | D52 | — | 4 | 1 | no | — |
| 266 | C4×D13 | — | 2 | 4 | no | — |
| 267 | C4×D13 | — | 2 | 4 | no | — |
| 268 | C4×D13 | — | 2 | 4 | no | — |
| 269 | C4×D13 | — | 8 | 4 | no | — |
| 270 | Dic26 | — | 2 | 8 | no | — |
| 271 | Dic26 | — | 4 | 1 | no | — |
| 272 | Dic26 | — | 4 | 4 | no | — |
| 273 | Dic26 | — | 8 | 4 | no | — |
| 274 | C8×C13 | — | 2 | 2 | no | — |
| 275 | C8×C13 | — | 2 | 2 | no | — |
| 276 | #1055 | — | 2 | 4 | no | — |
| 277 | #556 | — | 26 | 2 | no | — |
| 278 | #555 | — | 26 | 2 | no | — |
| 279 | #554 | — | 26 | 2 | no | — |
| 280 | #553 | — | 26 | 2 | no | — |
| 281 | #553 | — | 26 | 2 | no | — |
| 282 | #548 | — | 26 | 2 | no | — |
| 283 | #548 | — | 26 | 2 | no | — |
| 284 | #547 | — | 26 | 2 | no | — |
| 285 | #542 | — | 13 | 4 | no | — |
| 286 | #542 | — | 13 | 4 | no | — |
| 287 | #537 | — | 13 | 4 | no | — |
| 288 | #533 | — | 13 | 2 | no | — |
| 289 | #533 | — | 13 | 2 | no | — |
| 290 | #532 | — | 13 | 2 | no | — |
| 291 | #532 | — | 13 | 2 | no | — |
| 292 | #532 | C2×D13 | 1 | 2 | yes | — |
| 293 | C2×C4⋊Q8 | — | 13 | 2 | no | — |
| 294 | #520 | — | 13 | 4 | no | — |
| 295 | C4×#41 | — | 13 | 1 | no | — |
| 296 | #500 | — | 13 | 2 | no | — |
| 297 | #500 | — | 13 | 1 | no | — |
| 298 | #500 | C2×D13 | 1 | 1 | yes | characteristic |
| 299 | #494 | — | 13 | 1 | no | — |
| 300 | #493 | C2×D13 | 1 | 1 | yes | characteristic |
| 301 | #492 | — | 13 | 2 | no | — |
| 302 | #487 | — | 13 | 2 | no | — |
| 303 | #487 | — | 13 | 2 | no | — |
| 304 | #486 | — | 13 | 2 | no | — |
| 305 | #486 | C2×D13 | 1 | 2 | yes | — |
| 306 | #484 | — | 13 | 8 | no | — |
| 307 | #480 | — | 13 | 8 | no | — |
| 308 | #477 | — | 13 | 8 | no | — |
| 309 | #474 | — | 13 | 8 | no | — |
| 310 | #468 | — | 13 | 8 | no | — |
| 311 | #467 | — | 13 | 4 | no | — |
| 312 | #466 | C2×D13 | 1 | 4 | yes | — |
| 313 | #464 | — | 13 | 8 | no | — |
| 314 | #463 | — | 13 | 8 | no | — |
| 315 | #452 | — | 13 | 8 | no | — |
| 316 | #449 | — | 13 | 8 | no | — |
| 317 | #440 | — | 13 | 8 | no | — |
| 318 | C4×Q16 | — | 13 | 4 | no | — |
| 319 | C4×D8 | C2×D13 | 1 | 4 | yes | — |
| 320 | #433 | — | 13 | 4 | no | — |
| 321 | #431 | — | 13 | 2 | no | — |
| 322 | #431 | — | 13 | 2 | no | — |
| 323 | #424 | — | 13 | 2 | no | — |
| 324 | #408 | — | 13 | 2 | no | — |
| 325 | C4×M16 | — | 13 | 1 | no | — |
| 326 | C2×C4×C8 | C2×D13 | 1 | 1 | yes | characteristic |
| 327 | C22×C13 | — | 2 | 1 | no | — |
| 328 | C22×C13 | — | 2 | 1 | no | — |
| 329 | C22×C13 | — | 2 | 1 | no | — |
| 330 | C22×C13 | — | 4 | 4 | no | — |
| 331 | C22×C13 | — | 4 | 4 | no | — |
| 332 | C22×C13 | — | 4 | 4 | no | — |
| 333 | C22×C13 | C23×D4 | 1 | 1 | yes | characteristic |
| 334 | C2×D13 | — | 2 | 2 | no | — |
| 335 | C2×D13 | — | 2 | 2 | no | — |
| 336 | C2×D13 | — | 2 | 2 | no | — |
| 337 | C4×C13 | — | 2 | 1 | no | — |
| 338 | C4×C13 | — | 2 | 1 | no | — |
| 339 | C4×C13 | — | 2 | 1 | no | — |
| 340 | C4×C13 | — | 4 | 4 | no | — |
| 341 | C4×C13 | #576 | 1 | 2 | yes | — |
| 342 | C4×C13 | #578 | 1 | 2 | yes | — |
| 343 | C4×C13 | #585 | 1 | 2 | yes | — |
| 344 | Dic13 | — | 2 | 2 | no | — |
| 345 | Dic13 | — | 2 | 2 | no | — |
| 346 | Dic13 | — | 2 | 2 | no | — |
| 347 | Dic13 | — | 4 | 4 | no | — |
| 348 | Dic13 | — | 4 | 4 | no | — |
| 349 | C2×#41 | — | 2 | 2 | no | — |
| 350 | C2×#41 | — | 13 | 1 | no | — |
| 351 | C2×#41 | — | 13 | 4 | no | — |
| 352 | C2×#41 | — | 26 | 2 | no | — |
| 353 | C22×Q8 | — | 26 | 2 | no | — |
| 354 | C2×Q16 | — | 13 | 4 | no | — |
| 355 | C2×SD16 | — | 13 | 8 | no | — |
| 356 | C2×D8 | C22×D13 | 1 | 4 | yes | — |
| 357 | C2×M16 | — | 13 | 2 | no | — |
| 358 | C22×C8 | C22×D13 | 1 | 2 | yes | — |
| 359 | C4⋊Q8 | — | 13 | 4 | no | — |
| 360 | C4⋊Q8 | — | 13 | 2 | no | — |
| 361 | C4⋊Q8 | — | 13 | 2 | no | — |
| 362 | C4⋊Q8 | — | 26 | 2 | no | — |
| 363 | C4⋊Q8 | — | 26 | 2 | no | — |
| 364 | C4⋊Q8 | C22×D13 | 1 | 2 | yes | — |
| 365 | #127 | C22×D13 | 1 | 2 | yes | — |
| 366 | #126 | — | 26 | 4 | no | — |
| 367 | #126 | — | 26 | 4 | no | — |
| 368 | #125 | — | 26 | 2 | no | — |
| 369 | #125 | — | 26 | 2 | no | — |
| 370 | #124 | — | 2 | 2 | no | — |
| 371 | #124 | — | 13 | 4 | no | — |
| 372 | #124 | — | 26 | 2 | no | — |
| 373 | #124 | — | 26 | 4 | no | — |
| 374 | #124 | — | 26 | 4 | no | — |
| 375 | #123 | — | 26 | 4 | no | — |
| 376 | #123 | — | 26 | 4 | no | — |
| 377 | C22⋊Q8 | — | 13 | 4 | no | — |
| 378 | C22⋊Q8 | — | 13 | 4 | no | — |
| 379 | C22⋊Q8 | — | 26 | 4 | no | — |
| 380 | C22⋊Q8 | — | 26 | 4 | no | — |
| 381 | C22⋊Q8 | — | 26 | 4 | no | — |
| 382 | C22⋊Q8 | — | 26 | 2 | no | — |
| 383 | C22⋊Q8 | — | 26 | 2 | no | — |
| 384 | #121 | — | 2 | 2 | no | — |
| 385 | #121 | — | 13 | 4 | no | — |
| 386 | #121 | — | 26 | 4 | no | — |
| 387 | #121 | — | 26 | 2 | no | — |
| 388 | #121 | — | 26 | 2 | no | — |
| 389 | #121 | — | 26 | 2 | no | — |
| 390 | #121 | — | 26 | 4 | no | — |
| 391 | #121 | — | 26 | 4 | no | — |
| 392 | #121 | C22×D13 | 1 | 4 | yes | — |
| 393 | C4×Q8 | — | 13 | 1 | no | — |
| 394 | C4×Q8 | — | 13 | 1 | no | — |
| 395 | C4×Q8 | — | 13 | 4 | no | — |
| 396 | C4×Q8 | — | 13 | 4 | no | — |
| 397 | C4×Q8 | — | 26 | 2 | no | — |
| 398 | C4×Q8 | — | 26 | 2 | no | — |
| 399 | C4×D4 | — | 2 | 2 | no | — |
| 400 | C4×D4 | — | 13 | 2 | no | — |
| 401 | C4×D4 | — | 13 | 2 | no | — |
| 402 | C4×D4 | — | 13 | 4 | no | — |
| 403 | C4×D4 | — | 13 | 1 | no | — |
| 404 | C4×D4 | — | 13 | 1 | no | — |
| 405 | C4×D4 | — | 26 | 2 | no | — |
| 406 | C4×D4 | — | 26 | 2 | no | — |
| 407 | C4×D4 | — | 26 | 2 | no | — |
| 408 | C4×D4 | — | 26 | 4 | no | — |
| 409 | C4×D4 | — | 26 | 4 | no | — |
| 410 | C4×D4 | C22×D13 | 1 | 4 | yes | — |
| 411 | #117 | — | 13 | 1 | no | — |
| 412 | #117 | — | 13 | 2 | no | — |
| 413 | #117 | — | 26 | 4 | no | — |
| 414 | #117 | — | 26 | 2 | no | — |
| 415 | #117 | — | 26 | 2 | no | — |
| 416 | C2×C4⋊C4 | — | 13 | 4 | no | — |
| 417 | C2×C4⋊C4 | — | 26 | 2 | no | — |
| 418 | C2×C4⋊C4 | — | 26 | 4 | no | — |
| 419 | C2×C42 | — | 13 | 2 | no | — |
| 420 | C2×C42 | C22×D13 | 1 | 1 | yes | characteristic |
| 421 | #107 | — | 13 | 4 | no | — |
| 422 | #107 | — | 13 | 8 | no | — |
| 423 | #107 | C22×D13 | 1 | 4 | yes | — |
| 424 | C4⋊C8 | — | 13 | 4 | no | — |
| 425 | C4⋊C8 | — | 13 | 4 | no | — |
| 426 | #103 | — | 13 | 8 | no | — |
| 427 | #103 | — | 13 | 8 | no | — |
| 428 | #102 | — | 13 | 8 | no | — |
| 429 | #102 | C22×D13 | 1 | 8 | yes | — |
| 430 | C22⋊C8 | — | 13 | 4 | no | — |
| 431 | C22⋊C8 | — | 13 | 4 | no | — |
| 432 | #97 | — | 13 | 2 | no | — |
| 433 | C4×C8 | — | 13 | 2 | no | — |
| 434 | C4×C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 435 | C4×C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 436 | C4×C8 | C22×D13 | 1 | 2 | yes | — |
| 437 | C2×C13 | — | 4 | 1 | no | — |
| 438 | C2×C13 | — | 8 | 4 | no | — |
| 439 | C2×C13 | #3449 | 1 | 1 | yes | characteristic |
| 440 | C2×C13 | C2×#576 | 1 | 1 | yes | characteristic |
| 441 | C2×C13 | C2×#578 | 1 | 1 | yes | characteristic |
| 442 | D13 | — | 4 | 2 | no | — |
| 443 | #41 | — | 8 | 4 | no | — |
| 444 | #41 | — | 52 | 2 | no | — |
| 445 | #41 | — | 52 | 8 | no | — |
| 446 | #41 | — | 104 | 4 | no | — |
| 447 | C2×Q8 | — | 2 | 2 | no | — |
| 448 | C2×Q8 | — | 13 | 1 | no | — |
| 449 | C2×Q8 | — | 13 | 4 | no | — |
| 450 | C2×Q8 | — | 26 | 4 | no | — |
| 451 | C2×Q8 | — | 26 | 2 | no | — |
| 452 | C2×Q8 | — | 104 | 4 | no | — |
| 453 | C2×D4 | — | 2 | 4 | no | — |
| 454 | C2×D4 | — | 2 | 2 | no | — |
| 455 | C2×D4 | — | 2 | 2 | no | — |
| 456 | C2×D4 | — | 13 | 2 | no | — |
| 457 | C2×D4 | — | 13 | 1 | no | — |
| 458 | C2×D4 | — | 26 | 4 | no | — |
| 459 | C2×D4 | — | 26 | 4 | no | — |
| 460 | C2×D4 | C23×D13 | 1 | 4 | yes | — |
| 461 | C22×C4 | — | 2 | 4 | no | — |
| 462 | C22×C4 | — | 13 | 2 | no | — |
| 463 | C22×C4 | — | 13 | 2 | no | — |
| 464 | C22×C4 | — | 13 | 2 | no | — |
| 465 | C22×C4 | — | 26 | 4 | no | — |
| 466 | C22×C4 | — | 26 | 4 | no | — |
| 467 | C22×C4 | — | 26 | 4 | no | — |
| 468 | C22×C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 469 | C22×C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 470 | C22×C4 | C23×D13 | 1 | 1 | yes | characteristic |
| 471 | Q16 | — | 52 | 4 | no | — |
| 472 | SD16 | — | 52 | 8 | no | — |
| 473 | D8 | — | 4 | 4 | no | — |
| 474 | M16 | — | 52 | 2 | no | — |
| 475 | C2×C8 | — | 4 | 2 | no | — |
| 476 | C2×C8 | — | 13 | 4 | no | — |
| 477 | C2×C8 | C23×D13 | 1 | 2 | yes | — |
| 478 | C2×C8 | C23×D13 | 1 | 2 | yes | — |
| 479 | C4⋊C4 | — | 2 | 2 | no | — |
| 480 | C4⋊C4 | — | 13 | 2 | no | — |
| 481 | C4⋊C4 | — | 13 | 2 | no | — |
| 482 | C4⋊C4 | — | 13 | 1 | no | — |
| 483 | C4⋊C4 | — | 13 | 1 | no | — |
| 484 | C4⋊C4 | — | 13 | 4 | no | — |
| 485 | C4⋊C4 | — | 26 | 4 | no | — |
| 486 | C4⋊C4 | — | 26 | 4 | no | — |
| 487 | C4⋊C4 | — | 26 | 4 | no | — |
| 488 | C4⋊C4 | — | 26 | 4 | no | — |
| 489 | C4⋊C4 | — | 26 | 2 | no | — |
| 490 | C4⋊C4 | — | 26 | 4 | no | — |
| 491 | C4⋊C4 | — | 26 | 2 | no | — |
| 492 | C4⋊C4 | — | 26 | 2 | no | — |
| 493 | C4⋊C4 | — | 26 | 4 | no | — |
| 494 | C4⋊C4 | C23×D13 | 1 | 4 | yes | — |
| 495 | C22⋊C4 | — | 2 | 4 | no | — |
| 496 | C22⋊C4 | — | 2 | 4 | no | — |
| 497 | C22⋊C4 | — | 13 | 2 | no | — |
| 498 | C22⋊C4 | — | 13 | 2 | no | — |
| 499 | C22⋊C4 | — | 13 | 2 | no | — |
| 500 | C22⋊C4 | — | 26 | 4 | no | — |
| 501 | C22⋊C4 | — | 26 | 4 | no | — |
| 502 | C22⋊C4 | — | 26 | 4 | no | — |
| 503 | C22⋊C4 | — | 26 | 4 | no | — |
| 504 | C22⋊C4 | — | 26 | 4 | no | — |
| 505 | C22⋊C4 | — | 26 | 4 | no | — |
| 506 | C42 | — | 13 | 2 | no | — |
| 507 | C42 | — | 13 | 2 | no | — |
| 508 | C42 | — | 13 | 2 | no | — |
| 509 | C42 | — | 26 | 4 | no | — |
| 510 | C42 | — | 26 | 4 | no | — |
| 511 | C42 | D4×D13 | 1 | 1 | yes | characteristic |
| 512 | C42 | D4×D13 | 1 | 1 | yes | characteristic |
| 513 | C42 | C23×D13 | 1 | 1 | yes | characteristic |
| 514 | C42 | C23×D13 | 1 | 1 | yes | characteristic |
| 515 | C13 | #61014 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 516 | C23 | — | 2 | 4 | no | — |
| 517 | C23 | — | 13 | 2 | no | — |
| 518 | C23 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 519 | Q8 | — | 4 | 4 | no | — |
| 520 | Q8 | — | 26 | 8 | no | — |
| 521 | Q8 | — | 52 | 1 | no | — |
| 522 | Q8 | — | 52 | 4 | no | — |
| 523 | Q8 | — | 104 | 4 | no | — |
| 524 | D4 | — | 2 | 8 | no | — |
| 525 | D4 | — | 4 | 4 | no | — |
| 526 | D4 | — | 4 | 4 | no | — |
| 527 | D4 | — | 8 | 4 | no | — |
| 528 | D4 | — | 52 | 1 | no | — |
| 529 | D4 | — | 52 | 2 | no | — |
| 530 | D4 | — | 52 | 8 | no | — |
| 531 | D4 | — | 104 | 4 | no | — |
| 532 | C2×C4 | — | 2 | 2 | no | — |
| 533 | C2×C4 | — | 2 | 2 | no | — |
| 534 | C2×C4 | — | 2 | 2 | no | — |
| 535 | C2×C4 | — | 2 | 4 | no | — |
| 536 | C2×C4 | — | 8 | 4 | no | — |
| 537 | C2×C4 | — | 13 | 2 | no | — |
| 538 | C2×C4 | — | 13 | 2 | no | — |
| 539 | C2×C4 | — | 13 | 2 | no | — |
| 540 | C2×C4 | — | 26 | 4 | no | — |
| 541 | C2×C4 | — | 26 | 4 | no | — |
| 542 | C2×C4 | — | 26 | 4 | no | — |
| 543 | C2×C4 | — | 26 | 4 | no | — |
| 544 | C2×C4 | — | 26 | 4 | no | — |
| 545 | C2×C4 | — | 52 | 8 | no | — |
| 546 | C2×C4 | — | 104 | 4 | no | — |
| 547 | C2×C4 | — | 104 | 4 | no | — |
| 548 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 549 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 550 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 551 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 552 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 553 | C2×C4 | C24×D13 | 1 | 1 | yes | characteristic |
| 554 | C8 | — | 2 | 2 | no | — |
| 555 | C8 | — | 2 | 2 | no | — |
| 556 | C8 | — | 26 | 4 | no | — |
| 557 | C22 | — | 2 | 1 | no | — |
| 558 | C22 | — | 2 | 1 | no | — |
| 559 | C22 | — | 2 | 1 | no | — |
| 560 | C22 | — | 4 | 4 | no | — |
| 561 | C22 | — | 4 | 4 | no | — |
| 562 | C22 | — | 4 | 4 | no | — |
| 563 | C22 | — | 26 | 2 | no | — |
| 564 | C22 | — | 26 | 2 | no | — |
| 565 | C22 | — | 26 | 2 | no | — |
| 566 | C22 | C22×D4×D13 | 1 | 1 | yes | characteristic |
| 567 | C4 | — | 2 | 1 | no | — |
| 568 | C4 | — | 2 | 1 | no | — |
| 569 | C4 | — | 2 | 1 | no | — |
| 570 | C4 | — | 4 | 4 | no | — |
| 571 | C4 | — | 26 | 2 | no | — |
| 572 | C4 | — | 26 | 2 | no | — |
| 573 | C4 | — | 26 | 2 | no | — |
| 574 | C4 | — | 52 | 4 | no | — |
| 575 | C4 | — | 52 | 4 | no | — |
| 576 | C4 | #11719462 | 1 | 2 | yes | — |
| 577 | C4 | #11719476 | 1 | 2 | yes | — |
| 578 | C4 | #11719648 | 1 | 2 | yes | — |
| 579 | C2 | — | 4 | 1 | no | — |
| 580 | C2 | — | 8 | 4 | no | — |
| 581 | C2 | — | 52 | 2 | no | — |
| 582 | C2 | #13128163 | 1 | 1 | yes | characteristic |
| 583 | C2 | C2×#11719462 | 1 | 1 | yes | characteristic |
| 584 | C2 | C2×#11719476 | 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