Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2042 conjugacy classes of subgroups.
The subgroup lattice has 654 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13128649 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13128617 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #13125227 | C2 | 1 | 3 | yes | maximal, complemented |
| 4 | #13125214 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | #13125205 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #13125204 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | #13125199 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | #13125197 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | #13125156 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | C2×#11718453 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | #13123370 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #13123369 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #13123366 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #131×Dic13 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C13×#2898 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×C13×2−1+4 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#88257 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×C13×#131 | C22 | 1 | 1 | yes | characteristic |
| 19 | C13×#520 | C22 | 1 | 1 | yes | characteristic |
| 20 | #11719537 | C22 | 1 | 3 | yes | — |
| 21 | #11719532 | C22 | 1 | 1 | yes | characteristic |
| 22 | #41×Dic13 | C22 | 1 | 1 | yes | characteristic |
| 23 | #11719530 | C22 | 1 | 3 | yes | — |
| 24 | #11719529 | — | 2 | 3 | no | — |
| 25 | #11719529 | — | 2 | 3 | no | — |
| 26 | C2×#88202 | C22 | 1 | 1 | yes | characteristic |
| 27 | #11719521 | C22 | 1 | 3 | yes | — |
| 28 | Q8×C22⋊D13 | — | 2 | 1 | no | — |
| 29 | Q8×C22⋊D13 | — | 2 | 1 | no | — |
| 30 | C2×#88198 | C22 | 1 | 3 | yes | — |
| 31 | #11719274 | — | 2 | 1 | no | — |
| 32 | Q8×Dic26 | — | 2 | 1 | no | — |
| 33 | #11719244 | — | 2 | 3 | no | — |
| 34 | D4×Dic26 | — | 2 | 3 | no | — |
| 35 | #11719224 | C22 | 1 | 3 | yes | — |
| 36 | #11719222 | C22 | 1 | 3 | yes | — |
| 37 | #11719205 | C22 | 1 | 3 | yes | — |
| 38 | C2×#88142 | C22 | 1 | 3 | yes | — |
| 39 | C13×#419 | C22 | 1 | 3 | yes | — |
| 40 | C13×#417 | C22 | 1 | 3 | yes | — |
| 41 | C13×#416 | C22 | 1 | 3 | yes | — |
| 42 | C2×C13×#103 | C22 | 1 | 3 | yes | — |
| 43 | #11718894 | C22 | 1 | 3 | yes | — |
| 44 | #11718893 | C22 | 1 | 3 | yes | — |
| 45 | #11718886 | C22 | 1 | 3 | yes | — |
| 46 | C2×#88075 | C22 | 1 | 3 | yes | — |
| 47 | #11718794 | C22 | 1 | 3 | yes | — |
| 48 | #11718783 | C22 | 1 | 3 | yes | — |
| 49 | #11718781 | C22 | 1 | 3 | yes | — |
| 50 | M16×Dic13 | C22 | 1 | 3 | yes | — |
| 51 | #11718774 | C22 | 1 | 3 | yes | — |
| 52 | C2×#88056 | C22 | 1 | 3 | yes | — |
| 53 | #11718762 | C22 | 1 | 3 | yes | — |
| 54 | C2×C8×Dic13 | C22 | 1 | 3 | yes | — |
| 55 | #11718665 | C22 | 1 | 3 | yes | — |
| 56 | #11718663 | C22 | 1 | 3 | yes | — |
| 57 | C2×#88050 | C22 | 1 | 3 | yes | — |
| 58 | #11718627 | C22 | 1 | 3 | yes | — |
| 59 | #11718461 | C22 | 1 | 3 | yes | — |
| 60 | #11718461 | C22 | 1 | 3 | yes | — |
| 61 | #11718458 | C22 | 1 | 6 | yes | — |
| 62 | #11718458 | C22 | 1 | 6 | yes | — |
| 63 | #11718456 | C22 | 1 | 6 | yes | — |
| 64 | #11718453 | C22 | 1 | 3 | yes | — |
| 65 | #11718453 | C22 | 1 | 6 | yes | — |
| 66 | #11718453 | C22 | 1 | 6 | yes | — |
| 67 | #11718453 | C22 | 1 | 6 | yes | — |
| 68 | #11718453 | C22 | 1 | 3 | yes | — |
| 69 | #11718429 | C22 | 1 | 3 | yes | — |
| 70 | #11718429 | C22 | 1 | 3 | yes | — |
| 71 | #11718426 | C22 | 1 | 6 | yes | — |
| 72 | #11718421 | C22 | 1 | 1 | yes | characteristic |
| 73 | #11718421 | C22 | 1 | 3 | yes | — |
| 74 | C13×2−1+4 | — | 2 | 4 | no | — |
| 75 | C13×2−1+4 | — | 2 | 4 | no | — |
| 76 | C2×C13×#41 | — | 2 | 3 | no | — |
| 77 | C2×C13×#41 | C23 | 1 | 3 | yes | — |
| 78 | C2×C13×#41 | C23 | 1 | 1 | yes | characteristic |
| 79 | C22×Q8×C13 | — | 2 | 1 | no | — |
| 80 | C22×Q8×C13 | C23 | 1 | 3 | yes | — |
| 81 | #88257 | — | 2 | 4 | no | — |
| 82 | #88257 | — | 2 | 4 | no | — |
| 83 | C2×Q8×D13 | — | 2 | 1 | no | — |
| 84 | C2×#6129 | — | 2 | 3 | no | — |
| 85 | C2×#6127 | C23 | 1 | 3 | yes | — |
| 86 | C22×Dic26 | — | 2 | 3 | no | — |
| 87 | C22×Dic26 | C23 | 1 | 3 | yes | — |
| 88 | C13×#131 | — | 2 | 4 | no | — |
| 89 | C2×C13×M16 | C23 | 1 | 3 | yes | — |
| 90 | C22×C8×C13 | C23 | 1 | 3 | yes | — |
| 91 | C4×Q8×C13 | — | 2 | 1 | no | — |
| 92 | C4×D4×C13 | — | 2 | 3 | no | — |
| 93 | C13×#117 | C23 | 1 | 3 | yes | — |
| 94 | C2×C13×C4⋊C4 | C23 | 1 | 3 | yes | — |
| 95 | #88202 | — | 2 | 4 | no | — |
| 96 | #88201 | C23 | 1 | 3 | yes | — |
| 97 | #88200 | — | 2 | 3 | no | — |
| 98 | #88200 | — | 2 | 3 | no | — |
| 99 | Q8×Dic13 | — | 2 | 1 | no | — |
| 100 | Q8×Dic13 | D4 | 1 | 1 | yes | characteristic |
| 101 | Q8×Dic13 | D4 | 1 | 1 | yes | characteristic |
| 102 | #88198 | — | 2 | 3 | no | — |
| 103 | #88198 | — | 2 | 3 | no | — |
| 104 | #88198 | C23 | 1 | 3 | yes | — |
| 105 | #88198 | C23 | 1 | 6 | yes | — |
| 106 | #88194 | C23 | 1 | 1 | yes | characteristic |
| 107 | #88193 | — | 2 | 3 | no | — |
| 108 | #88193 | — | 2 | 3 | no | — |
| 109 | #88190 | C23 | 1 | 3 | yes | — |
| 110 | #88189 | — | 2 | 6 | no | — |
| 111 | D4×Dic13 | — | 2 | 3 | no | — |
| 112 | D4×Dic13 | D4 | 1 | 3 | yes | — |
| 113 | D4×Dic13 | D4 | 1 | 3 | yes | — |
| 114 | #88183 | — | 2 | 6 | no | — |
| 115 | C4×C22⋊D13 | — | 2 | 3 | no | — |
| 116 | C4×C22⋊D13 | — | 2 | 3 | no | — |
| 117 | #88180 | C23 | 1 | 3 | yes | — |
| 118 | #88180 | C23 | 1 | 3 | yes | — |
| 119 | C2×C4⋊Dic13 | C23 | 1 | 3 | yes | — |
| 120 | #88178 | — | 2 | 6 | no | — |
| 121 | #88178 | — | 2 | 3 | no | — |
| 122 | #88178 | — | 2 | 3 | no | — |
| 123 | C2×#6101 | — | 2 | 3 | no | — |
| 124 | C2×#6101 | — | 2 | 3 | no | — |
| 125 | C2×#6101 | — | 2 | 3 | no | — |
| 126 | C2×C4×Dic13 | C23 | 1 | 3 | yes | — |
| 127 | C2×#6099 | C23 | 1 | 3 | yes | — |
| 128 | C22×#1055 | C23 | 1 | 3 | yes | — |
| 129 | #88144 | — | 2 | 3 | no | — |
| 130 | #88144 | C23 | 1 | 3 | yes | — |
| 131 | #88144 | C23 | 1 | 3 | yes | — |
| 132 | #88142 | — | 2 | 3 | no | — |
| 133 | #88142 | — | 2 | 3 | no | — |
| 134 | #88142 | — | 2 | 3 | no | — |
| 135 | #88142 | C23 | 1 | 3 | yes | — |
| 136 | #88142 | C23 | 1 | 1 | yes | characteristic |
| 137 | #88142 | C23 | 1 | 6 | yes | — |
| 138 | #88132 | — | 2 | 3 | no | — |
| 139 | #88132 | — | 2 | 3 | no | — |
| 140 | #88132 | — | 2 | 6 | no | — |
| 141 | #88124 | — | 2 | 3 | no | — |
| 142 | #88123 | — | 2 | 3 | no | — |
| 143 | C4×Dic26 | — | 2 | 3 | no | — |
| 144 | C4×Dic26 | — | 2 | 3 | no | — |
| 145 | C13×#103 | C23 | 1 | 3 | yes | — |
| 146 | C13×#103 | C23 | 1 | 6 | yes | — |
| 147 | C13×#103 | C23 | 1 | 3 | yes | — |
| 148 | C13×#102 | C23 | 1 | 3 | yes | — |
| 149 | C13×#102 | C23 | 1 | 1 | yes | characteristic |
| 150 | #88075 | C23 | 1 | 3 | yes | — |
| 151 | #88075 | C23 | 1 | 6 | yes | — |
| 152 | #88075 | C23 | 1 | 3 | yes | — |
| 153 | #88072 | C23 | 1 | 3 | yes | — |
| 154 | #88072 | C23 | 1 | 1 | yes | characteristic |
| 155 | #88061 | C23 | 1 | 3 | yes | — |
| 156 | #88061 | C23 | 1 | 1 | yes | characteristic |
| 157 | #88056 | C23 | 1 | 6 | yes | — |
| 158 | #88056 | C23 | 1 | 3 | yes | — |
| 159 | #88056 | C23 | 1 | 3 | yes | — |
| 160 | #88055 | C23 | 1 | 6 | yes | — |
| 161 | C8×Dic13 | C23 | 1 | 1 | yes | characteristic |
| 162 | C8×Dic13 | C23 | 1 | 3 | yes | — |
| 163 | C8×Dic13 | C23 | 1 | 3 | yes | — |
| 164 | C8×Dic13 | C23 | 1 | 3 | yes | — |
| 165 | #88050 | C23 | 1 | 3 | yes | — |
| 166 | #88050 | C23 | 1 | 3 | yes | — |
| 167 | #88050 | C23 | 1 | 6 | yes | — |
| 168 | #88049 | C23 | 1 | 1 | yes | characteristic |
| 169 | #88049 | C23 | 1 | 3 | yes | — |
| 170 | #60623 | — | 13 | 1 | no | maximal, Sylow |
| 171 | C13×#41 | — | 2 | 6 | no | — |
| 172 | C13×#41 | — | 2 | 6 | no | — |
| 173 | C13×#41 | — | 4 | 12 | no | — |
| 174 | C13×#41 | #41 | 1 | 4 | yes | — |
| 175 | C13×#41 | #41 | 1 | 4 | yes | — |
| 176 | C2×Q8×C13 | — | 2 | 3 | no | — |
| 177 | C2×Q8×C13 | — | 2 | 6 | no | — |
| 178 | C2×Q8×C13 | — | 2 | 6 | no | — |
| 179 | C2×Q8×C13 | — | 4 | 4 | no | — |
| 180 | C2×Q8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 181 | C2×Q8×C13 | C24 | 1 | 3 | yes | — |
| 182 | C2×D4×C13 | — | 2 | 3 | no | — |
| 183 | C2×D4×C13 | C2×D4 | 1 | 3 | yes | — |
| 184 | C2×D4×C13 | C24 | 1 | 1 | yes | characteristic |
| 185 | C22×C4×C13 | — | 2 | 3 | no | — |
| 186 | C22×C4×C13 | — | 2 | 3 | no | — |
| 187 | C22×C4×C13 | — | 2 | 3 | no | — |
| 188 | C22×C4×C13 | C24 | 1 | 3 | yes | — |
| 189 | C2×C22⋊D13 | — | 2 | 3 | no | — |
| 190 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 191 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 192 | C22×Dic13 | — | 2 | 3 | no | — |
| 193 | C22×Dic13 | — | 2 | 3 | no | — |
| 194 | C22×Dic13 | C2×D4 | 1 | 3 | yes | — |
| 195 | C22×Dic13 | C2×D4 | 1 | 3 | yes | — |
| 196 | Q8×D13 | — | 4 | 4 | no | — |
| 197 | #6129 | — | 4 | 12 | no | — |
| 198 | #6127 | — | 2 | 6 | no | — |
| 199 | #6127 | — | 2 | 6 | no | — |
| 200 | C2×D52 | C24 | 1 | 1 | yes | characteristic |
| 201 | C2×C4×D13 | — | 2 | 3 | no | — |
| 202 | C2×Dic26 | — | 2 | 6 | no | — |
| 203 | C2×Dic26 | — | 2 | 6 | no | — |
| 204 | C2×Dic26 | — | 2 | 3 | no | — |
| 205 | C2×Dic26 | — | 2 | 1 | no | — |
| 206 | C2×Dic26 | — | 2 | 3 | no | — |
| 207 | C2×Dic26 | — | 2 | 6 | no | — |
| 208 | C2×Dic26 | — | 8 | 6 | no | — |
| 209 | C2×Dic26 | C24 | 1 | 3 | yes | — |
| 210 | C13×M16 | — | 2 | 6 | no | — |
| 211 | C2×C8×C13 | — | 2 | 6 | no | — |
| 212 | C2×C8×C13 | C24 | 1 | 1 | yes | characteristic |
| 213 | C2×C8×C13 | C24 | 1 | 3 | yes | — |
| 214 | C13×C4⋊C4 | — | 2 | 3 | no | — |
| 215 | C13×C4⋊C4 | C24 | 1 | 3 | yes | — |
| 216 | C13×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 217 | C13×C22⋊C4 | — | 2 | 3 | no | — |
| 218 | C42×C13 | — | 2 | 3 | no | — |
| 219 | C22⋊Dic13 | — | 2 | 3 | no | — |
| 220 | C22⋊Dic13 | — | 2 | 3 | no | — |
| 221 | C22⋊Dic13 | — | 2 | 3 | no | — |
| 222 | C22⋊Dic13 | C2×D4 | 1 | 6 | yes | — |
| 223 | #6103 | — | 2 | 3 | no | — |
| 224 | #6103 | — | 2 | 3 | no | — |
| 225 | C4⋊Dic13 | — | 2 | 3 | no | — |
| 226 | C4⋊Dic13 | — | 2 | 3 | no | — |
| 227 | C4⋊Dic13 | — | 2 | 3 | no | — |
| 228 | C4⋊Dic13 | C2×D4 | 1 | 3 | yes | — |
| 229 | C4⋊Dic13 | C2×D4 | 1 | 3 | yes | — |
| 230 | C4⋊Dic13 | C24 | 1 | 3 | yes | — |
| 231 | C4⋊Dic13 | C24 | 1 | 1 | yes | characteristic |
| 232 | #6101 | — | 2 | 1 | no | — |
| 233 | #6101 | — | 2 | 3 | no | — |
| 234 | #6101 | — | 2 | 3 | no | — |
| 235 | #6101 | — | 2 | 3 | no | — |
| 236 | #6101 | — | 2 | 6 | no | — |
| 237 | #6101 | — | 2 | 3 | no | — |
| 238 | #6101 | — | 2 | 3 | no | — |
| 239 | #6101 | — | 2 | 6 | no | — |
| 240 | #6101 | — | 2 | 6 | no | — |
| 241 | C4×Dic13 | — | 2 | 3 | no | — |
| 242 | C4×Dic13 | C2×D4 | 1 | 3 | yes | — |
| 243 | C4×Dic13 | C2×D4 | 1 | 3 | yes | — |
| 244 | C4×Dic13 | C24 | 1 | 1 | yes | characteristic |
| 245 | C4×Dic13 | C24 | 1 | 3 | yes | — |
| 246 | #6099 | — | 2 | 6 | no | — |
| 247 | C2×#1055 | — | 2 | 6 | no | — |
| 248 | C2×#1055 | C24 | 1 | 1 | yes | characteristic |
| 249 | C2×#1055 | C24 | 1 | 3 | yes | — |
| 250 | #3503 | — | 13 | 1 | no | — |
| 251 | #3499 | — | 13 | 1 | no | — |
| 252 | #3141 | — | 13 | 3 | no | — |
| 253 | #3139 | — | 13 | 3 | no | — |
| 254 | #3137 | — | 13 | 3 | no | — |
| 255 | #3137 | — | 13 | 3 | no | — |
| 256 | #3137 | — | 13 | 3 | no | — |
| 257 | #3137 | — | 13 | 3 | no | — |
| 258 | #3131 | — | 13 | 3 | no | — |
| 259 | C2×#487 | — | 13 | 3 | no | — |
| 260 | #2898 | — | 13 | 1 | no | — |
| 261 | #2898 | — | 13 | 1 | no | — |
| 262 | #2898 | — | 13 | 1 | no | — |
| 263 | #2898 | D13 | 1 | 1 | yes | characteristic, complemented |
| 264 | C4×#131 | — | 13 | 1 | no | — |
| 265 | C23×C13 | — | 2 | 1 | no | — |
| 266 | C23×C13 | C22×D4 | 1 | 3 | yes | — |
| 267 | C22×D13 | — | 2 | 1 | no | — |
| 268 | Q8×C13 | — | 2 | 3 | no | — |
| 269 | Q8×C13 | — | 2 | 3 | no | — |
| 270 | Q8×C13 | — | 4 | 6 | no | — |
| 271 | Q8×C13 | #124 | 1 | 4 | yes | — |
| 272 | D4×C13 | — | 2 | 1 | no | — |
| 273 | D4×C13 | — | 2 | 1 | no | — |
| 274 | D4×C13 | — | 4 | 6 | no | — |
| 275 | D4×C13 | #124 | 1 | 12 | yes | — |
| 276 | C2×C4×C13 | — | 2 | 3 | no | — |
| 277 | C2×C4×C13 | — | 2 | 1 | no | — |
| 278 | C2×C4×C13 | — | 2 | 3 | no | — |
| 279 | C2×C4×C13 | — | 4 | 6 | no | — |
| 280 | C2×C4×C13 | — | 4 | 6 | no | — |
| 281 | C2×C4×C13 | — | 8 | 3 | no | — |
| 282 | C2×C4×C13 | C22×D4 | 1 | 3 | yes | — |
| 283 | C2×C4×C13 | C2×#41 | 1 | 6 | yes | — |
| 284 | C2×C4×C13 | C2×#41 | 1 | 6 | yes | — |
| 285 | C2×C4×C13 | C25 | 1 | 1 | yes | characteristic |
| 286 | C22⋊D13 | — | 4 | 6 | no | — |
| 287 | C22⋊D13 | — | 4 | 2 | no | — |
| 288 | C22⋊D13 | — | 4 | 2 | no | — |
| 289 | C2×Dic13 | — | 2 | 6 | no | — |
| 290 | C2×Dic13 | — | 2 | 6 | no | — |
| 291 | C2×Dic13 | — | 2 | 1 | no | — |
| 292 | C2×Dic13 | — | 2 | 3 | no | — |
| 293 | C2×Dic13 | — | 2 | 3 | no | — |
| 294 | C2×Dic13 | — | 4 | 6 | no | — |
| 295 | C2×Dic13 | — | 8 | 3 | no | — |
| 296 | C2×Dic13 | C22×D4 | 1 | 3 | yes | — |
| 297 | C2×Dic13 | C22×D4 | 1 | 3 | yes | — |
| 298 | C2×Dic13 | C22×D4 | 1 | 1 | yes | characteristic |
| 299 | C2×Dic13 | C22×D4 | 1 | 1 | yes | characteristic |
| 300 | D52 | — | 2 | 1 | no | — |
| 301 | D52 | — | 2 | 1 | no | — |
| 302 | C4×D13 | — | 4 | 6 | no | — |
| 303 | Dic26 | — | 2 | 3 | no | — |
| 304 | Dic26 | — | 2 | 3 | no | — |
| 305 | Dic26 | — | 4 | 6 | no | — |
| 306 | Dic26 | — | 4 | 6 | no | — |
| 307 | Dic26 | — | 4 | 2 | no | — |
| 308 | Dic26 | — | 8 | 6 | no | — |
| 309 | C8×C13 | — | 2 | 1 | no | — |
| 310 | C8×C13 | — | 2 | 3 | no | — |
| 311 | #1055 | — | 2 | 1 | no | — |
| 312 | #1055 | — | 2 | 3 | no | — |
| 313 | C2×2−1+4 | — | 13 | 1 | no | — |
| 314 | C2×2−1+4 | C2×D13 | 1 | 1 | yes | characteristic |
| 315 | C2×#131 | — | 13 | 1 | no | — |
| 316 | C2×#131 | C2×D13 | 1 | 1 | yes | characteristic |
| 317 | Q82 | — | 26 | 1 | no | — |
| 318 | #557 | — | 26 | 1 | no | — |
| 319 | #554 | — | 26 | 3 | no | — |
| 320 | D4×Q8 | — | 26 | 3 | no | — |
| 321 | D4×Q8 | — | 26 | 1 | no | — |
| 322 | D4×Q8 | — | 26 | 1 | no | — |
| 323 | #547 | — | 26 | 3 | no | — |
| 324 | #547 | — | 26 | 3 | no | — |
| 325 | #544 | — | 13 | 3 | no | — |
| 326 | #544 | — | 13 | 3 | no | — |
| 327 | #536 | — | 13 | 3 | no | — |
| 328 | #536 | — | 13 | 3 | no | — |
| 329 | #533 | — | 13 | 3 | no | — |
| 330 | #532 | — | 13 | 3 | no | — |
| 331 | C2×C4⋊Q8 | — | 13 | 3 | no | — |
| 332 | C2×C4⋊Q8 | — | 13 | 3 | no | — |
| 333 | #520 | — | 13 | 1 | no | — |
| 334 | #520 | C2×D13 | 1 | 1 | yes | characteristic |
| 335 | C4×#41 | — | 13 | 1 | no | — |
| 336 | #491 | — | 13 | 6 | no | — |
| 337 | #491 | — | 13 | 6 | no | — |
| 338 | #489 | — | 13 | 6 | no | — |
| 339 | #489 | — | 13 | 6 | no | — |
| 340 | #488 | — | 13 | 3 | no | — |
| 341 | #488 | — | 13 | 3 | no | — |
| 342 | #488 | — | 13 | 3 | no | — |
| 343 | #488 | — | 13 | 3 | no | — |
| 344 | #487 | — | 13 | 3 | no | — |
| 345 | #487 | — | 13 | 6 | no | — |
| 346 | #487 | — | 13 | 6 | no | — |
| 347 | #487 | — | 13 | 6 | no | — |
| 348 | #487 | — | 13 | 3 | no | — |
| 349 | #486 | — | 13 | 1 | no | — |
| 350 | #486 | — | 13 | 3 | no | — |
| 351 | #419 | — | 13 | 3 | no | — |
| 352 | #419 | — | 13 | 3 | no | — |
| 353 | #419 | — | 13 | 3 | no | — |
| 354 | #419 | C2×D13 | 1 | 3 | yes | — |
| 355 | #417 | — | 13 | 3 | no | — |
| 356 | #417 | — | 13 | 3 | no | — |
| 357 | #417 | — | 13 | 3 | no | — |
| 358 | #417 | C2×D13 | 1 | 3 | yes | — |
| 359 | #416 | — | 13 | 3 | no | — |
| 360 | #416 | — | 13 | 3 | no | — |
| 361 | #416 | — | 13 | 3 | no | — |
| 362 | #416 | C2×D13 | 1 | 3 | yes | — |
| 363 | C2×#103 | — | 13 | 3 | no | — |
| 364 | C2×#103 | — | 13 | 3 | no | — |
| 365 | C2×#103 | — | 13 | 3 | no | — |
| 366 | C2×#103 | C2×D13 | 1 | 3 | yes | — |
| 367 | #405 | — | 13 | 3 | no | — |
| 368 | #405 | — | 13 | 3 | no | — |
| 369 | C4×M16 | — | 13 | 3 | no | — |
| 370 | C2×C4×C8 | — | 13 | 3 | no | — |
| 371 | C22×C13 | — | 2 | 3 | no | — |
| 372 | C22×C13 | — | 2 | 3 | no | — |
| 373 | C22×C13 | — | 4 | 1 | no | — |
| 374 | C22×C13 | — | 4 | 1 | no | — |
| 375 | C22×C13 | — | 4 | 1 | no | — |
| 376 | C22×C13 | C2×#124 | 1 | 6 | yes | — |
| 377 | C22×C13 | C23×D4 | 1 | 1 | yes | characteristic |
| 378 | C2×D13 | — | 4 | 1 | no | — |
| 379 | C2×D13 | — | 4 | 1 | no | — |
| 380 | C2×D13 | — | 4 | 1 | no | — |
| 381 | C4×C13 | — | 4 | 3 | no | — |
| 382 | C4×C13 | — | 4 | 3 | no | — |
| 383 | C4×C13 | — | 4 | 1 | no | — |
| 384 | C4×C13 | C2×#124 | 1 | 6 | yes | — |
| 385 | C4×C13 | C22×#41 | 1 | 1 | yes | characteristic |
| 386 | C4×C13 | C22×#41 | 1 | 1 | yes | characteristic |
| 387 | Dic13 | — | 2 | 3 | no | — |
| 388 | Dic13 | — | 2 | 3 | no | — |
| 389 | Dic13 | — | 4 | 3 | no | — |
| 390 | Dic13 | — | 4 | 3 | no | — |
| 391 | Dic13 | — | 4 | 1 | no | — |
| 392 | Dic13 | #577 | 1 | 2 | yes | — |
| 393 | Dic13 | #578 | 1 | 2 | yes | — |
| 394 | 2−1+4 | — | 2 | 4 | no | — |
| 395 | 2−1+4 | — | 2 | 4 | no | — |
| 396 | 2−1+4 | — | 26 | 4 | no | — |
| 397 | 2−1+4 | — | 26 | 4 | no | — |
| 398 | C2×#41 | — | 2 | 3 | no | — |
| 399 | C2×#41 | — | 13 | 3 | no | — |
| 400 | C2×#41 | — | 26 | 3 | no | — |
| 401 | C2×#41 | C22×D13 | 1 | 3 | yes | — |
| 402 | C2×#41 | C22×D13 | 1 | 1 | yes | characteristic |
| 403 | C22×Q8 | — | 2 | 1 | no | — |
| 404 | C22×Q8 | — | 13 | 3 | no | — |
| 405 | C22×Q8 | — | 26 | 3 | no | — |
| 406 | C22×Q8 | — | 26 | 1 | no | — |
| 407 | C22×Q8 | C22×D13 | 1 | 3 | yes | — |
| 408 | #131 | — | 2 | 4 | no | — |
| 409 | #131 | — | 26 | 4 | no | — |
| 410 | C2×M16 | — | 13 | 3 | no | — |
| 411 | C2×M16 | C22×D13 | 1 | 3 | yes | — |
| 412 | C22×C8 | — | 13 | 3 | no | — |
| 413 | C22×C8 | C22×D13 | 1 | 3 | yes | — |
| 414 | C4⋊Q8 | — | 13 | 3 | no | — |
| 415 | C4⋊Q8 | — | 13 | 6 | no | — |
| 416 | C4⋊Q8 | — | 13 | 1 | no | — |
| 417 | C4⋊Q8 | — | 13 | 3 | no | — |
| 418 | C4⋊Q8 | — | 13 | 6 | no | — |
| 419 | C4⋊Q8 | — | 26 | 3 | no | — |
| 420 | C4⋊Q8 | — | 26 | 3 | no | — |
| 421 | C4⋊Q8 | — | 26 | 3 | no | — |
| 422 | C4⋊Q8 | — | 26 | 3 | no | — |
| 423 | C4⋊Q8 | — | 26 | 3 | no | — |
| 424 | C4⋊Q8 | — | 26 | 3 | no | — |
| 425 | #127 | — | 13 | 1 | no | — |
| 426 | #125 | — | 13 | 3 | no | — |
| 427 | #125 | — | 13 | 3 | no | — |
| 428 | #125 | — | 26 | 3 | no | — |
| 429 | #125 | — | 26 | 3 | no | — |
| 430 | #124 | — | 13 | 3 | no | — |
| 431 | #124 | — | 13 | 3 | no | — |
| 432 | #123 | — | 26 | 6 | no | — |
| 433 | #123 | — | 26 | 6 | no | — |
| 434 | C22⋊Q8 | — | 26 | 6 | no | — |
| 435 | C22⋊Q8 | — | 26 | 3 | no | — |
| 436 | C22⋊Q8 | — | 26 | 3 | no | — |
| 437 | C22⋊Q8 | — | 26 | 6 | no | — |
| 438 | C22⋊Q8 | — | 26 | 3 | no | — |
| 439 | C22⋊Q8 | — | 26 | 3 | no | — |
| 440 | C22⋊Q8 | — | 26 | 3 | no | — |
| 441 | C22⋊Q8 | — | 26 | 3 | no | — |
| 442 | #121 | — | 26 | 3 | no | — |
| 443 | #121 | — | 26 | 3 | no | — |
| 444 | C4×Q8 | — | 2 | 1 | no | — |
| 445 | C4×Q8 | — | 13 | 1 | no | — |
| 446 | C4×Q8 | — | 13 | 1 | no | — |
| 447 | C4×Q8 | — | 26 | 3 | no | — |
| 448 | C4×Q8 | — | 26 | 3 | no | — |
| 449 | C4×Q8 | — | 26 | 1 | no | — |
| 450 | C4×D4 | — | 2 | 3 | no | — |
| 451 | C4×D4 | — | 13 | 3 | no | — |
| 452 | C4×D4 | — | 13 | 3 | no | — |
| 453 | C4×D4 | — | 26 | 3 | no | — |
| 454 | C4×D4 | — | 26 | 3 | no | — |
| 455 | C4×D4 | — | 26 | 3 | no | — |
| 456 | #117 | — | 13 | 3 | no | — |
| 457 | #117 | — | 13 | 3 | no | — |
| 458 | #117 | C22×D13 | 1 | 3 | yes | — |
| 459 | C2×C4⋊C4 | — | 13 | 3 | no | — |
| 460 | C2×C4⋊C4 | — | 26 | 3 | no | — |
| 461 | C2×C4⋊C4 | — | 26 | 3 | no | — |
| 462 | C2×C4⋊C4 | — | 26 | 3 | no | — |
| 463 | C2×C4⋊C4 | C22×D13 | 1 | 3 | yes | — |
| 464 | C2×C42 | — | 13 | 3 | no | — |
| 465 | #103 | — | 13 | 3 | no | — |
| 466 | #103 | — | 13 | 6 | no | — |
| 467 | #103 | — | 13 | 3 | no | — |
| 468 | #103 | — | 13 | 3 | no | — |
| 469 | #103 | — | 13 | 6 | no | — |
| 470 | #103 | — | 13 | 3 | no | — |
| 471 | #103 | — | 13 | 3 | no | — |
| 472 | #103 | — | 13 | 6 | no | — |
| 473 | #103 | — | 13 | 3 | no | — |
| 474 | #103 | C22×D13 | 1 | 3 | yes | — |
| 475 | #103 | C22×D13 | 1 | 6 | yes | — |
| 476 | #103 | C22×D13 | 1 | 3 | yes | — |
| 477 | #102 | — | 13 | 1 | no | — |
| 478 | #102 | — | 13 | 3 | no | — |
| 479 | #102 | — | 13 | 1 | no | — |
| 480 | #102 | — | 13 | 3 | no | — |
| 481 | #102 | — | 13 | 1 | no | — |
| 482 | #102 | — | 13 | 3 | no | — |
| 483 | #102 | C22×D13 | 1 | 1 | yes | characteristic |
| 484 | #102 | C22×D13 | 1 | 3 | yes | — |
| 485 | #97 | — | 13 | 6 | no | — |
| 486 | C4×C8 | — | 13 | 1 | no | — |
| 487 | C4×C8 | — | 13 | 3 | no | — |
| 488 | C4×C8 | — | 13 | 3 | no | — |
| 489 | C4×C8 | — | 13 | 3 | no | — |
| 490 | C2×C13 | — | 2 | 6 | no | — |
| 491 | C2×C13 | — | 8 | 1 | no | — |
| 492 | C2×C13 | C22×#124 | 1 | 1 | yes | characteristic |
| 493 | C2×C13 | C2×#577 | 1 | 1 | yes | characteristic |
| 494 | C2×C13 | C2×#578 | 1 | 1 | yes | characteristic |
| 495 | D13 | — | 8 | 1 | no | — |
| 496 | #41 | — | 2 | 6 | no | — |
| 497 | #41 | — | 2 | 6 | no | — |
| 498 | #41 | — | 4 | 12 | no | — |
| 499 | #41 | — | 26 | 6 | no | — |
| 500 | #41 | — | 26 | 6 | no | — |
| 501 | #41 | — | 52 | 12 | no | — |
| 502 | #41 | #6127 | 1 | 4 | yes | — |
| 503 | #41 | #6129 | 1 | 4 | yes | — |
| 504 | C2×Q8 | — | 2 | 3 | no | — |
| 505 | C2×Q8 | — | 2 | 6 | no | — |
| 506 | C2×Q8 | — | 2 | 6 | no | — |
| 507 | C2×Q8 | — | 4 | 4 | no | — |
| 508 | C2×Q8 | — | 13 | 3 | no | — |
| 509 | C2×Q8 | — | 26 | 1 | no | — |
| 510 | C2×Q8 | — | 26 | 3 | no | — |
| 511 | C2×Q8 | — | 26 | 6 | no | — |
| 512 | C2×Q8 | — | 26 | 3 | no | — |
| 513 | C2×Q8 | — | 26 | 6 | no | — |
| 514 | C2×Q8 | — | 26 | 6 | no | — |
| 515 | C2×Q8 | — | 52 | 4 | no | — |
| 516 | C2×Q8 | — | 104 | 6 | no | — |
| 517 | C2×Q8 | D4×D13 | 1 | 1 | yes | characteristic |
| 518 | C2×Q8 | C23×D13 | 1 | 3 | yes | — |
| 519 | C2×D4 | — | 2 | 3 | no | — |
| 520 | C2×D4 | — | 13 | 1 | no | — |
| 521 | C2×D4 | — | 26 | 1 | no | — |
| 522 | C2×D4 | — | 26 | 1 | no | — |
| 523 | C2×D4 | — | 26 | 3 | no | — |
| 524 | C2×D4 | D4×D13 | 1 | 3 | yes | — |
| 525 | C2×D4 | C23×D13 | 1 | 1 | yes | characteristic |
| 526 | C22×C4 | — | 2 | 3 | no | — |
| 527 | C22×C4 | — | 2 | 3 | no | — |
| 528 | C22×C4 | — | 2 | 3 | no | — |
| 529 | C22×C4 | — | 13 | 3 | no | — |
| 530 | C22×C4 | — | 13 | 3 | no | — |
| 531 | C22×C4 | — | 26 | 3 | no | — |
| 532 | C22×C4 | — | 26 | 3 | no | — |
| 533 | C22×C4 | — | 26 | 3 | no | — |
| 534 | C22×C4 | C23×D13 | 1 | 3 | yes | — |
| 535 | M16 | — | 2 | 6 | no | — |
| 536 | M16 | — | 26 | 6 | no | — |
| 537 | C2×C8 | — | 2 | 6 | no | — |
| 538 | C2×C8 | — | 13 | 1 | no | — |
| 539 | C2×C8 | — | 13 | 3 | no | — |
| 540 | C2×C8 | — | 26 | 6 | no | — |
| 541 | C2×C8 | C23×D13 | 1 | 1 | yes | characteristic |
| 542 | C2×C8 | C23×D13 | 1 | 3 | yes | — |
| 543 | C4⋊C4 | — | 2 | 3 | no | — |
| 544 | C4⋊C4 | — | 13 | 3 | no | — |
| 545 | C4⋊C4 | — | 13 | 3 | no | — |
| 546 | C4⋊C4 | — | 13 | 3 | no | — |
| 547 | C4⋊C4 | — | 13 | 1 | no | — |
| 548 | C4⋊C4 | — | 26 | 3 | no | — |
| 549 | C4⋊C4 | — | 26 | 3 | no | — |
| 550 | C4⋊C4 | — | 26 | 3 | no | — |
| 551 | C4⋊C4 | — | 26 | 6 | no | — |
| 552 | C4⋊C4 | — | 26 | 6 | no | — |
| 553 | C4⋊C4 | — | 26 | 6 | no | — |
| 554 | C4⋊C4 | — | 26 | 1 | no | — |
| 555 | C4⋊C4 | — | 26 | 3 | no | — |
| 556 | C4⋊C4 | — | 26 | 3 | no | — |
| 557 | C4⋊C4 | — | 26 | 3 | no | — |
| 558 | C4⋊C4 | — | 26 | 3 | no | — |
| 559 | C4⋊C4 | — | 26 | 3 | no | — |
| 560 | C4⋊C4 | C23×D13 | 1 | 3 | yes | — |
| 561 | C4⋊C4 | C23×D13 | 1 | 1 | yes | characteristic |
| 562 | C22⋊C4 | — | 2 | 3 | no | — |
| 563 | C22⋊C4 | — | 13 | 6 | no | — |
| 564 | C22⋊C4 | — | 26 | 3 | no | — |
| 565 | C22⋊C4 | — | 26 | 3 | no | — |
| 566 | C22⋊C4 | — | 26 | 3 | no | — |
| 567 | C22⋊C4 | — | 26 | 3 | no | — |
| 568 | C22⋊C4 | — | 26 | 3 | no | — |
| 569 | C42 | — | 2 | 3 | no | — |
| 570 | C42 | — | 13 | 3 | no | — |
| 571 | C42 | — | 13 | 3 | no | — |
| 572 | C42 | — | 13 | 1 | no | — |
| 573 | C42 | — | 13 | 3 | no | — |
| 574 | C42 | — | 26 | 3 | no | — |
| 575 | C13 | #60623 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 576 | C23 | — | 2 | 1 | no | — |
| 577 | C23 | — | 26 | 1 | no | — |
| 578 | C23 | C2×D4×D13 | 1 | 3 | yes | — |
| 579 | Q8 | — | 2 | 3 | no | — |
| 580 | Q8 | — | 2 | 3 | no | — |
| 581 | Q8 | — | 4 | 6 | no | — |
| 582 | Q8 | — | 26 | 3 | no | — |
| 583 | Q8 | — | 26 | 3 | no | — |
| 584 | Q8 | — | 52 | 2 | no | — |
| 585 | Q8 | — | 52 | 6 | no | — |
| 586 | Q8 | — | 52 | 6 | no | — |
| 587 | Q8 | — | 104 | 6 | no | — |
| 588 | Q8 | #88139 | 1 | 4 | yes | — |
| 589 | D4 | — | 2 | 1 | no | — |
| 590 | D4 | — | 2 | 1 | no | — |
| 591 | D4 | — | 4 | 6 | no | — |
| 592 | D4 | — | 26 | 1 | no | — |
| 593 | D4 | — | 26 | 1 | no | — |
| 594 | D4 | — | 52 | 2 | no | — |
| 595 | D4 | — | 52 | 2 | no | — |
| 596 | D4 | — | 52 | 6 | no | — |
| 597 | D4 | #88139 | 1 | 12 | yes | — |
| 598 | C2×C4 | — | 2 | 1 | no | — |
| 599 | C2×C4 | — | 2 | 3 | no | — |
| 600 | C2×C4 | — | 2 | 3 | no | — |
| 601 | C2×C4 | — | 4 | 6 | no | — |
| 602 | C2×C4 | — | 4 | 6 | no | — |
| 603 | C2×C4 | — | 8 | 3 | no | — |
| 604 | C2×C4 | — | 13 | 1 | no | — |
| 605 | C2×C4 | — | 13 | 1 | no | — |
| 606 | C2×C4 | — | 13 | 3 | no | — |
| 607 | C2×C4 | — | 13 | 3 | no | — |
| 608 | C2×C4 | — | 26 | 6 | no | — |
| 609 | C2×C4 | — | 26 | 6 | no | — |
| 610 | C2×C4 | — | 26 | 1 | no | — |
| 611 | C2×C4 | — | 26 | 3 | no | — |
| 612 | C2×C4 | — | 26 | 3 | no | — |
| 613 | C2×C4 | — | 52 | 6 | no | — |
| 614 | C2×C4 | — | 52 | 6 | no | — |
| 615 | C2×C4 | — | 104 | 3 | no | — |
| 616 | C2×C4 | C2×#6127 | 1 | 6 | yes | — |
| 617 | C2×C4 | C2×D4×D13 | 1 | 3 | yes | — |
| 618 | C2×C4 | C2×#6129 | 1 | 6 | yes | — |
| 619 | C2×C4 | C24×D13 | 1 | 1 | yes | characteristic |
| 620 | C8 | — | 2 | 1 | no | — |
| 621 | C8 | — | 2 | 3 | no | — |
| 622 | C8 | — | 26 | 1 | no | — |
| 623 | C8 | — | 26 | 3 | no | — |
| 624 | C22 | — | 2 | 3 | no | — |
| 625 | C22 | — | 2 | 3 | no | — |
| 626 | C22 | — | 4 | 1 | no | — |
| 627 | C22 | — | 4 | 1 | no | — |
| 628 | C22 | — | 4 | 1 | no | — |
| 629 | C22 | — | 52 | 1 | no | — |
| 630 | C22 | — | 52 | 1 | no | — |
| 631 | C22 | — | 52 | 1 | no | — |
| 632 | C22 | C2×#88139 | 1 | 6 | yes | — |
| 633 | C22 | C22×D4×D13 | 1 | 1 | yes | characteristic |
| 634 | C4 | — | 4 | 3 | no | — |
| 635 | C4 | — | 4 | 1 | no | — |
| 636 | C4 | — | 4 | 3 | no | — |
| 637 | C4 | — | 13 | 2 | no | — |
| 638 | C4 | — | 13 | 2 | no | — |
| 639 | C4 | — | 26 | 3 | no | — |
| 640 | C4 | — | 26 | 3 | no | — |
| 641 | C4 | — | 52 | 3 | no | — |
| 642 | C4 | — | 52 | 1 | no | — |
| 643 | C4 | — | 52 | 3 | no | — |
| 644 | C4 | C2×#88139 | 1 | 6 | yes | — |
| 645 | C4 | C22×#6127 | 1 | 1 | yes | characteristic |
| 646 | C4 | C22×#6129 | 1 | 1 | yes | characteristic |
| 647 | C2 | — | 2 | 6 | no | — |
| 648 | C2 | — | 8 | 1 | no | — |
| 649 | C2 | — | 104 | 1 | no | — |
| 650 | C2 | C22×#88139 | 1 | 1 | yes | characteristic |
| 651 | C2 | D13×#577 | 1 | 1 | yes | characteristic |
| 652 | C2 | D13×#578 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13128649 | C2 | semidirect |
| 3. #13125227 | C2 | semidirect |
| 4. #13125214 | C2 | semidirect |
| 5. #13125205 | C2 | semidirect |
| 6. #13125204 | C2 | semidirect |
| 7. #13125199 | C2 | semidirect |
| 8. #13125197 | C2 | semidirect |
| 9. #13125156 | C2 | semidirect |
| 10. C2×#11718453 | C2 | semidirect |
| 11. #13123370 | C2 | semidirect |
| 12. #13123369 | C2 | semidirect |
| 13. #13123366 | C2 | semidirect |
| 14. #131×Dic13 | C2 | semidirect |
| 15. C13×#2898 | C2 | semidirect |
| 263. #2898 | D13 | semidirect |
| 575. C13 | #60623 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13128649 | 2 |
| #13128617 | 2 |
| #13125227 | 2 |
| #13125214 | 2 |
| #13125205 | 2 |
| #13125204 | 2 |
| #13125199 | 2 |
| #13125197 | 2 |
| #13125156 | 2 |
| C2×#11718453 | 2 |
| #13123370 | 2 |
| #13123369 | 2 |
| #13123366 | 2 |
| #131×Dic13 | 2 |
| C13×#2898 | 2 |
| #60623 | 13 |