Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1842 conjugacy classes of subgroups.
The subgroup lattice has 542 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13128760 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #13128720 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13125544 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #13125494 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #13125467 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #13125441 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #13125385 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #13125293 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #13125182 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13124525 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #13123673 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #13123261 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | C2×C13×#491 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C2×C13×C4⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×C13×#125 | C22 | 1 | 1 | yes | characteristic |
| 16 | #11719521 | C22 | 1 | 2 | yes | — |
| 17 | #11719517 | C22 | 1 | 2 | yes | — |
| 18 | C2×#88196 | C22 | 1 | 4 | yes | — |
| 19 | C2×#88155 | C22 | 1 | 2 | yes | — |
| 20 | #11719437 | — | 2 | 2 | no | — |
| 21 | #11719436 | C22 | 1 | 4 | yes | — |
| 22 | #11719433 | C22 | 1 | 4 | yes | — |
| 23 | #11719426 | — | 2 | 2 | no | — |
| 24 | #11719403 | C22 | 1 | 2 | yes | — |
| 25 | #11719402 | C22 | 1 | 2 | yes | — |
| 26 | #11719400 | — | 2 | 2 | no | — |
| 27 | #11719399 | — | 2 | 2 | no | — |
| 28 | #11719396 | C22 | 1 | 4 | yes | — |
| 29 | #11719219 | — | 2 | 4 | no | — |
| 30 | #11719218 | — | 2 | 4 | no | — |
| 31 | #11719215 | C22 | 1 | 2 | yes | — |
| 32 | #11719209 | C22 | 1 | 2 | yes | — |
| 33 | #11719182 | C22 | 1 | 1 | yes | characteristic |
| 34 | C4×#6127 | C22 | 1 | 1 | yes | characteristic |
| 35 | #11719175 | C22 | 1 | 1 | yes | characteristic |
| 36 | C13×#491 | C22 | 1 | 2 | yes | — |
| 37 | C13×#491 | C22 | 1 | 4 | yes | — |
| 38 | C13×#491 | C22 | 1 | 2 | yes | — |
| 39 | C2×C13×#103 | C22 | 1 | 4 | yes | — |
| 40 | C2×C13×#97 | C22 | 1 | 1 | yes | characteristic |
| 41 | #11718774 | C22 | 1 | 4 | yes | — |
| 42 | #11718762 | C22 | 1 | 2 | yes | — |
| 43 | #11718753 | C22 | 1 | 2 | yes | — |
| 44 | #11718747 | C22 | 1 | 4 | yes | — |
| 45 | #11718746 | C22 | 1 | 2 | yes | — |
| 46 | #11718726 | C22 | 1 | 4 | yes | — |
| 47 | #11718725 | C22 | 1 | 4 | yes | — |
| 48 | #11718625 | C22 | 1 | 4 | yes | — |
| 49 | C4×#6099 | C22 | 1 | 1 | yes | characteristic |
| 50 | #11718478 | C22 | 1 | 8 | yes | — |
| 51 | #11718477 | C22 | 1 | 8 | yes | — |
| 52 | #11718474 | C22 | 1 | 8 | yes | — |
| 53 | #11718473 | C22 | 1 | 8 | yes | — |
| 54 | #11718468 | C22 | 1 | 8 | yes | — |
| 55 | #11718451 | C22 | 1 | 8 | yes | — |
| 56 | #11718450 | C22 | 1 | 8 | yes | — |
| 57 | #11718449 | C22 | 1 | 8 | yes | — |
| 58 | #11718375 | C22 | 1 | 2 | yes | — |
| 59 | #11718375 | C22 | 1 | 2 | yes | — |
| 60 | #11718374 | C22 | 1 | 2 | yes | — |
| 61 | #11718369 | C22 | 1 | 4 | yes | — |
| 62 | #11718368 | C22 | 1 | 2 | yes | — |
| 63 | D13×#97 | C22 | 1 | 2 | yes | — |
| 64 | #11718364 | C22 | 1 | 2 | yes | — |
| 65 | C22×Q8×C13 | C23 | 1 | 2 | yes | — |
| 66 | C2×#6127 | C23 | 1 | 1 | yes | characteristic |
| 67 | C2×#6127 | C23 | 1 | 2 | yes | — |
| 68 | C22×C8×C13 | C23 | 1 | 2 | yes | — |
| 69 | C13×C4⋊Q8 | — | 2 | 2 | no | — |
| 70 | C13×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 71 | C13×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 72 | C13×#125 | — | 2 | 2 | no | — |
| 73 | C13×#125 | C23 | 1 | 2 | yes | — |
| 74 | C13×#125 | C23 | 1 | 2 | yes | — |
| 75 | C2×C13×C4⋊C4 | — | 2 | 2 | no | — |
| 76 | C2×C13×C4⋊C4 | — | 2 | 2 | no | — |
| 77 | C2×C13×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 78 | C2×C42×C13 | C23 | 1 | 1 | yes | characteristic |
| 79 | #88201 | — | 2 | 2 | no | — |
| 80 | #88200 | C23 | 1 | 8 | yes | — |
| 81 | Q8×Dic13 | — | 2 | 4 | no | — |
| 82 | Q8×Dic13 | C23 | 1 | 8 | yes | — |
| 83 | #88198 | — | 2 | 2 | no | — |
| 84 | C2×#6107 | C23 | 1 | 8 | yes | — |
| 85 | #88196 | — | 2 | 16 | no | — |
| 86 | C2×#6106 | C23 | 1 | 8 | yes | — |
| 87 | #88184 | — | 2 | 2 | no | — |
| 88 | #88184 | — | 2 | 4 | no | — |
| 89 | #88183 | — | 2 | 4 | no | — |
| 90 | C4×C22⋊D13 | — | 2 | 4 | no | — |
| 91 | C4×C22⋊D13 | D4 | 1 | 4 | yes | — |
| 92 | #88180 | — | 2 | 4 | no | — |
| 93 | #88180 | C23 | 1 | 2 | yes | — |
| 94 | #88180 | C23 | 1 | 1 | yes | characteristic |
| 95 | #88178 | — | 2 | 2 | no | — |
| 96 | C2×#6099 | C23 | 1 | 2 | yes | — |
| 97 | #88155 | — | 2 | 8 | no | — |
| 98 | C2×#6094 | C23 | 1 | 4 | yes | — |
| 99 | C2×C8×D13 | C23 | 1 | 4 | yes | — |
| 100 | #88152 | — | 2 | 8 | no | — |
| 101 | #88152 | — | 2 | 4 | no | — |
| 102 | #88152 | — | 2 | 4 | no | — |
| 103 | #88151 | — | 2 | 4 | no | — |
| 104 | #88151 | — | 2 | 2 | no | — |
| 105 | #88151 | C23 | 1 | 4 | yes | — |
| 106 | #88149 | — | 2 | 2 | no | — |
| 107 | #88149 | — | 2 | 4 | no | — |
| 108 | #88149 | C23 | 1 | 4 | yes | — |
| 109 | #88148 | — | 2 | 4 | no | — |
| 110 | #88148 | — | 2 | 4 | no | — |
| 111 | #88147 | — | 2 | 4 | no | — |
| 112 | #88147 | C23 | 1 | 4 | yes | — |
| 113 | #88146 | — | 2 | 4 | no | — |
| 114 | #88146 | — | 2 | 2 | no | — |
| 115 | #88146 | — | 2 | 4 | no | — |
| 116 | C4⋊C4×D13 | — | 2 | 2 | no | — |
| 117 | #88144 | — | 2 | 4 | no | — |
| 118 | #88144 | — | 2 | 4 | no | — |
| 119 | #88143 | — | 2 | 8 | no | — |
| 120 | #88141 | — | 2 | 4 | no | — |
| 121 | #88141 | C23 | 1 | 4 | yes | — |
| 122 | #88129 | C23 | 1 | 2 | yes | — |
| 123 | #88128 | C23 | 1 | 1 | yes | characteristic |
| 124 | C4×D52 | — | 2 | 2 | no | — |
| 125 | C4×D52 | D4 | 1 | 2 | yes | — |
| 126 | #88126 | C23 | 1 | 2 | yes | — |
| 127 | C42×D13 | C23 | 1 | 2 | yes | — |
| 128 | #88124 | C23 | 1 | 2 | yes | — |
| 129 | #88123 | C23 | 1 | 1 | yes | characteristic |
| 130 | #88123 | C23 | 1 | 2 | yes | — |
| 131 | C4×Dic26 | — | 2 | 2 | no | — |
| 132 | C4×Dic26 | D4 | 1 | 2 | yes | — |
| 133 | C13×#103 | C23 | 1 | 8 | yes | — |
| 134 | C13×#103 | C23 | 1 | 8 | yes | — |
| 135 | C13×#97 | C23 | 1 | 2 | yes | — |
| 136 | C13×#97 | C23 | 1 | 1 | yes | characteristic |
| 137 | C13×#97 | C23 | 1 | 1 | yes | characteristic |
| 138 | #88061 | C23 | 1 | 4 | yes | — |
| 139 | #88061 | C23 | 1 | 4 | yes | — |
| 140 | #88056 | C23 | 1 | 4 | yes | — |
| 141 | #88056 | C23 | 1 | 4 | yes | — |
| 142 | #88055 | C23 | 1 | 4 | yes | — |
| 143 | C8×Dic13 | C23 | 1 | 4 | yes | — |
| 144 | #88048 | C23 | 1 | 8 | yes | — |
| 145 | #88047 | C23 | 1 | 8 | yes | — |
| 146 | #88043 | C23 | 1 | 2 | yes | — |
| 147 | C4×#1055 | C23 | 1 | 2 | yes | — |
| 148 | #60726 | — | 13 | 1 | no | maximal, Sylow |
| 149 | C2×Q8×C13 | — | 2 | 2 | no | — |
| 150 | C2×Q8×C13 | — | 2 | 8 | no | — |
| 151 | C2×Q8×C13 | C24 | 1 | 4 | yes | — |
| 152 | C22×C4×C13 | — | 2 | 2 | no | — |
| 153 | C22×C4×C13 | — | 2 | 2 | no | — |
| 154 | C22×C4×C13 | C2×D4 | 1 | 2 | yes | — |
| 155 | C22×C4×C13 | C24 | 1 | 1 | yes | characteristic |
| 156 | C2×C22⋊D13 | — | 2 | 2 | no | — |
| 157 | C2×C22⋊D13 | C2×D4 | 1 | 2 | yes | — |
| 158 | #6127 | — | 2 | 4 | no | — |
| 159 | #6127 | — | 2 | 8 | no | — |
| 160 | C2×D52 | — | 2 | 4 | no | — |
| 161 | C2×D52 | — | 2 | 2 | no | — |
| 162 | C2×D52 | C2×D4 | 1 | 1 | yes | characteristic |
| 163 | C2×D52 | C24 | 1 | 2 | yes | — |
| 164 | C2×C4×D13 | — | 2 | 2 | no | — |
| 165 | C2×C4×D13 | — | 2 | 4 | no | — |
| 166 | C2×C4×D13 | C2×D4 | 1 | 4 | yes | — |
| 167 | C2×C4×D13 | C24 | 1 | 2 | yes | — |
| 168 | C2×Dic26 | — | 2 | 2 | no | — |
| 169 | C2×Dic26 | C2×D4 | 1 | 1 | yes | characteristic |
| 170 | C2×Dic26 | C24 | 1 | 2 | yes | — |
| 171 | C2×C8×C13 | — | 2 | 4 | no | — |
| 172 | C2×C8×C13 | C24 | 1 | 2 | yes | — |
| 173 | C2×C8×C13 | C24 | 1 | 2 | yes | — |
| 174 | C13×C4⋊C4 | — | 2 | 4 | no | — |
| 175 | C13×C4⋊C4 | — | 2 | 4 | no | — |
| 176 | C13×C4⋊C4 | — | 2 | 4 | no | — |
| 177 | C13×C4⋊C4 | — | 2 | 2 | no | — |
| 178 | C13×C4⋊C4 | — | 2 | 4 | no | — |
| 179 | C13×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 180 | C42×C13 | C2×D4 | 1 | 2 | yes | — |
| 181 | C42×C13 | C24 | 1 | 1 | yes | characteristic |
| 182 | C42×C13 | C24 | 1 | 1 | yes | characteristic |
| 183 | C22⋊Dic13 | — | 2 | 2 | no | — |
| 184 | C22⋊Dic13 | C2×D4 | 1 | 2 | yes | — |
| 185 | #6107 | — | 2 | 16 | no | — |
| 186 | #6106 | — | 2 | 16 | no | — |
| 187 | #6103 | — | 2 | 8 | no | — |
| 188 | #6103 | — | 2 | 4 | no | — |
| 189 | #6103 | — | 2 | 2 | no | — |
| 190 | #6103 | — | 2 | 2 | no | — |
| 191 | #6103 | — | 2 | 4 | no | — |
| 192 | #6103 | — | 2 | 4 | no | — |
| 193 | #6103 | C2×D4 | 1 | 4 | yes | — |
| 194 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 195 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 196 | C4⋊Dic13 | — | 2 | 8 | no | — |
| 197 | C4⋊Dic13 | — | 2 | 4 | no | — |
| 198 | C4⋊Dic13 | C2×D4 | 1 | 2 | yes | — |
| 199 | C4⋊Dic13 | C24 | 1 | 4 | yes | — |
| 200 | #6101 | — | 2 | 4 | no | — |
| 201 | #6101 | — | 2 | 8 | no | — |
| 202 | #6101 | — | 2 | 4 | no | — |
| 203 | #6101 | C2×D4 | 1 | 4 | yes | — |
| 204 | C4×Dic13 | — | 2 | 2 | no | — |
| 205 | C4×Dic13 | — | 2 | 8 | no | — |
| 206 | C4×Dic13 | — | 2 | 4 | no | — |
| 207 | C4×Dic13 | C2×D4 | 1 | 4 | yes | — |
| 208 | C4×Dic13 | C24 | 1 | 2 | yes | — |
| 209 | #6099 | #41 | 1 | 8 | yes | — |
| 210 | C2×#1055 | C24 | 1 | 4 | yes | — |
| 211 | #6094 | — | 2 | 8 | no | — |
| 212 | C8×D13 | — | 2 | 8 | no | — |
| 213 | #3512 | — | 13 | 1 | no | — |
| 214 | #3509 | — | 13 | 1 | no | — |
| 215 | #3181 | — | 13 | 4 | no | — |
| 216 | #3177 | — | 13 | 4 | no | — |
| 217 | #3174 | — | 13 | 4 | no | — |
| 218 | #3172 | — | 13 | 4 | no | — |
| 219 | #3166 | — | 13 | 1 | no | — |
| 220 | #3152 | — | 13 | 1 | no | — |
| 221 | #3135 | — | 13 | 1 | no | — |
| 222 | C2×#491 | D13 | 1 | 1 | yes | characteristic, complemented |
| 223 | #3063 | — | 13 | 4 | no | — |
| 224 | #2947 | — | 13 | 4 | no | — |
| 225 | #2875 | — | 13 | 1 | no | — |
| 226 | C23×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 227 | C22×D13 | — | 2 | 2 | no | — |
| 228 | C22×D13 | C22×D4 | 1 | 2 | yes | — |
| 229 | Q8×C13 | — | 2 | 8 | no | — |
| 230 | Q8×C13 | — | 4 | 4 | no | — |
| 231 | C2×C4×C13 | — | 2 | 4 | no | — |
| 232 | C2×C4×C13 | — | 2 | 4 | no | — |
| 233 | C2×C4×C13 | — | 4 | 2 | no | — |
| 234 | C2×C4×C13 | — | 4 | 4 | no | — |
| 235 | C2×C4×C13 | — | 8 | 2 | no | — |
| 236 | C2×C4×C13 | C22×D4 | 1 | 2 | yes | — |
| 237 | C2×C4×C13 | C22×D4 | 1 | 2 | yes | — |
| 238 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 239 | C2×C4×C13 | C2×#41 | 1 | 4 | yes | — |
| 240 | C2×C4×C13 | C25 | 1 | 1 | yes | characteristic |
| 241 | C22⋊D13 | — | 2 | 4 | no | — |
| 242 | C22⋊D13 | — | 4 | 4 | no | — |
| 243 | C2×Dic13 | — | 2 | 4 | no | — |
| 244 | C2×Dic13 | — | 2 | 2 | no | — |
| 245 | C2×Dic13 | C22×D4 | 1 | 4 | yes | — |
| 246 | C2×Dic13 | C22×D4 | 1 | 2 | yes | — |
| 247 | D52 | — | 2 | 2 | no | — |
| 248 | D52 | — | 2 | 4 | no | — |
| 249 | D52 | — | 8 | 2 | no | — |
| 250 | D52 | — | 8 | 4 | no | — |
| 251 | C4×D13 | — | 2 | 4 | no | — |
| 252 | C4×D13 | — | 4 | 4 | no | — |
| 253 | C4×D13 | — | 4 | 4 | no | — |
| 254 | C4×D13 | — | 8 | 4 | no | — |
| 255 | Dic26 | — | 2 | 2 | no | — |
| 256 | Dic26 | — | 2 | 4 | no | — |
| 257 | Dic26 | — | 4 | 4 | no | — |
| 258 | C8×C13 | — | 2 | 2 | no | — |
| 259 | C8×C13 | — | 2 | 2 | no | — |
| 260 | #1055 | C2×#41 | 1 | 8 | yes | — |
| 261 | C2×#137 | — | 13 | 4 | no | — |
| 262 | C2×#131 | — | 13 | 2 | no | — |
| 263 | #557 | — | 26 | 2 | no | — |
| 264 | #556 | — | 26 | 2 | no | — |
| 265 | #553 | — | 26 | 4 | no | — |
| 266 | #553 | — | 26 | 2 | no | — |
| 267 | #552 | — | 26 | 4 | no | — |
| 268 | #552 | — | 26 | 2 | no | — |
| 269 | #541 | — | 13 | 4 | no | — |
| 270 | #541 | — | 13 | 2 | no | — |
| 271 | #540 | — | 13 | 2 | no | — |
| 272 | #537 | — | 13 | 2 | no | — |
| 273 | #536 | — | 13 | 2 | no | — |
| 274 | #533 | — | 13 | 4 | no | — |
| 275 | #533 | — | 13 | 1 | no | — |
| 276 | #532 | — | 13 | 1 | no | — |
| 277 | C2×C4⋊Q8 | C2×D13 | 1 | 1 | yes | characteristic |
| 278 | #529 | — | 13 | 4 | no | — |
| 279 | C2×#125 | C2×D13 | 1 | 1 | yes | characteristic |
| 280 | #520 | — | 13 | 2 | no | — |
| 281 | #519 | — | 13 | 2 | no | — |
| 282 | C4×#41 | — | 13 | 1 | no | — |
| 283 | #501 | — | 13 | 4 | no | — |
| 284 | #499 | — | 13 | 4 | no | — |
| 285 | #497 | — | 13 | 4 | no | — |
| 286 | #494 | — | 13 | 2 | no | — |
| 287 | #492 | — | 13 | 2 | no | — |
| 288 | #491 | — | 13 | 2 | no | — |
| 289 | #491 | C2×D13 | 1 | 2 | yes | — |
| 290 | #491 | C2×D13 | 1 | 4 | yes | — |
| 291 | #491 | C2×D13 | 1 | 2 | yes | — |
| 292 | #490 | — | 13 | 2 | no | — |
| 293 | #489 | — | 13 | 2 | no | — |
| 294 | #489 | — | 13 | 2 | no | — |
| 295 | #470 | — | 13 | 8 | no | — |
| 296 | #468 | — | 13 | 8 | no | — |
| 297 | #467 | — | 13 | 8 | no | — |
| 298 | #465 | — | 13 | 8 | no | — |
| 299 | #441 | — | 13 | 8 | no | — |
| 300 | #440 | — | 13 | 8 | no | — |
| 301 | C4×Q16 | — | 13 | 8 | no | — |
| 302 | C4×SD16 | — | 13 | 8 | no | — |
| 303 | #428 | — | 13 | 4 | no | — |
| 304 | #416 | — | 13 | 4 | no | — |
| 305 | C2×#103 | C2×D13 | 1 | 4 | yes | — |
| 306 | #405 | — | 13 | 2 | no | — |
| 307 | #405 | — | 13 | 4 | no | — |
| 308 | C4×M16 | — | 13 | 1 | no | — |
| 309 | C4×M16 | — | 13 | 2 | no | — |
| 310 | C2×#97 | — | 13 | 2 | no | — |
| 311 | C2×#97 | C2×D13 | 1 | 1 | yes | characteristic |
| 312 | C22×C13 | — | 2 | 2 | no | — |
| 313 | C22×C13 | #532 | 1 | 2 | yes | — |
| 314 | C22×C13 | C23×D4 | 1 | 1 | yes | characteristic |
| 315 | C2×D13 | — | 2 | 4 | no | — |
| 316 | C2×D13 | — | 2 | 2 | no | — |
| 317 | C2×D13 | — | 4 | 2 | no | — |
| 318 | C2×D13 | — | 4 | 2 | no | — |
| 319 | C2×D13 | — | 4 | 2 | no | — |
| 320 | C4×C13 | — | 2 | 2 | no | — |
| 321 | C4×C13 | — | 2 | 2 | no | — |
| 322 | C4×C13 | — | 4 | 4 | no | — |
| 323 | C4×C13 | — | 4 | 4 | no | — |
| 324 | C4×C13 | #532 | 1 | 2 | yes | — |
| 325 | C4×C13 | C22×#41 | 1 | 2 | yes | — |
| 326 | Dic13 | — | 2 | 4 | no | — |
| 327 | Dic13 | — | 2 | 2 | no | — |
| 328 | Dic13 | — | 4 | 4 | no | — |
| 329 | Dic13 | — | 4 | 2 | no | — |
| 330 | C2×#41 | — | 13 | 1 | no | — |
| 331 | C2×#41 | — | 13 | 2 | no | — |
| 332 | C22×Q8 | C22×D13 | 1 | 2 | yes | — |
| 333 | #137 | — | 26 | 16 | no | — |
| 334 | C2×Q16 | — | 13 | 8 | no | — |
| 335 | C2×SD16 | — | 13 | 8 | no | — |
| 336 | #131 | — | 26 | 8 | no | — |
| 337 | C2×M16 | — | 13 | 2 | no | — |
| 338 | C2×M16 | — | 13 | 4 | no | — |
| 339 | C22×C8 | — | 13 | 4 | no | — |
| 340 | C22×C8 | C22×D13 | 1 | 2 | yes | — |
| 341 | C4⋊Q8 | — | 2 | 2 | no | — |
| 342 | C4⋊Q8 | — | 13 | 2 | no | — |
| 343 | C4⋊Q8 | — | 13 | 1 | no | — |
| 344 | C4⋊Q8 | — | 26 | 2 | no | — |
| 345 | C4⋊Q8 | C22×D13 | 1 | 2 | yes | — |
| 346 | C4⋊Q8 | C22×D13 | 1 | 2 | yes | — |
| 347 | #127 | — | 13 | 1 | no | — |
| 348 | #126 | — | 26 | 4 | no | — |
| 349 | #126 | — | 26 | 8 | no | — |
| 350 | #126 | — | 26 | 4 | no | — |
| 351 | #125 | — | 2 | 2 | no | — |
| 352 | #125 | — | 13 | 2 | no | — |
| 353 | #125 | — | 26 | 4 | no | — |
| 354 | #125 | — | 26 | 4 | no | — |
| 355 | #125 | — | 26 | 8 | no | — |
| 356 | #125 | C22×D13 | 1 | 2 | yes | — |
| 357 | #125 | C22×D13 | 1 | 2 | yes | — |
| 358 | #124 | — | 13 | 2 | no | — |
| 359 | #124 | — | 26 | 2 | no | — |
| 360 | #123 | — | 26 | 4 | no | — |
| 361 | #123 | — | 26 | 4 | no | — |
| 362 | #123 | — | 26 | 4 | no | — |
| 363 | C22⋊Q8 | — | 13 | 8 | no | — |
| 364 | C22⋊Q8 | — | 13 | 4 | no | — |
| 365 | C22⋊Q8 | — | 26 | 4 | no | — |
| 366 | C22⋊Q8 | — | 26 | 2 | no | — |
| 367 | C22⋊Q8 | — | 26 | 2 | no | — |
| 368 | #121 | — | 13 | 4 | no | — |
| 369 | #121 | — | 26 | 4 | no | — |
| 370 | #121 | — | 26 | 2 | no | — |
| 371 | #121 | — | 26 | 4 | no | — |
| 372 | #121 | — | 26 | 2 | no | — |
| 373 | C4×Q8 | — | 13 | 2 | no | — |
| 374 | C4×Q8 | — | 13 | 8 | no | — |
| 375 | C4×Q8 | — | 13 | 4 | no | — |
| 376 | C4×Q8 | — | 26 | 4 | no | — |
| 377 | C4×Q8 | — | 26 | 4 | no | — |
| 378 | C4×Q8 | — | 26 | 2 | no | — |
| 379 | C4×D4 | — | 13 | 4 | no | — |
| 380 | C4×D4 | — | 13 | 4 | no | — |
| 381 | C4×D4 | — | 13 | 2 | no | — |
| 382 | C4×D4 | — | 26 | 4 | no | — |
| 383 | C4×D4 | — | 26 | 4 | no | — |
| 384 | C4×D4 | — | 26 | 2 | no | — |
| 385 | #117 | — | 13 | 1 | no | — |
| 386 | #117 | — | 13 | 2 | no | — |
| 387 | #117 | — | 13 | 2 | no | — |
| 388 | #117 | — | 26 | 4 | no | — |
| 389 | #117 | — | 26 | 4 | no | — |
| 390 | #117 | — | 26 | 2 | no | — |
| 391 | #117 | — | 26 | 4 | no | — |
| 392 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 393 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 394 | C2×C4⋊C4 | — | 26 | 2 | no | — |
| 395 | C2×C4⋊C4 | C22×D13 | 1 | 2 | yes | — |
| 396 | C2×C42 | — | 13 | 2 | no | — |
| 397 | C2×C42 | C22×D13 | 1 | 1 | yes | characteristic |
| 398 | #107 | — | 13 | 8 | no | — |
| 399 | #106 | — | 13 | 8 | no | — |
| 400 | #103 | — | 13 | 4 | no | — |
| 401 | #103 | — | 13 | 4 | no | — |
| 402 | #103 | C22×D13 | 1 | 8 | yes | — |
| 403 | #103 | C22×D13 | 1 | 8 | yes | — |
| 404 | #102 | — | 13 | 4 | no | — |
| 405 | #102 | — | 13 | 4 | no | — |
| 406 | #97 | — | 13 | 4 | no | — |
| 407 | #97 | — | 13 | 2 | no | — |
| 408 | #97 | C22×D13 | 1 | 1 | yes | characteristic |
| 409 | #97 | C22×D13 | 1 | 1 | yes | characteristic |
| 410 | #97 | C22×D13 | 1 | 2 | yes | — |
| 411 | C4×C8 | — | 13 | 4 | no | — |
| 412 | C4×C8 | — | 13 | 2 | no | — |
| 413 | C2×C13 | — | 2 | 2 | no | — |
| 414 | C2×C13 | C2×#532 | 1 | 1 | yes | characteristic |
| 415 | C2×C13 | #3586 | 1 | 2 | yes | — |
| 416 | D13 | — | 4 | 2 | no | — |
| 417 | D13 | — | 8 | 2 | no | — |
| 418 | #41 | — | 26 | 4 | no | — |
| 419 | #41 | — | 26 | 8 | no | — |
| 420 | C2×Q8 | — | 2 | 2 | no | — |
| 421 | C2×Q8 | — | 2 | 8 | no | — |
| 422 | C2×Q8 | — | 13 | 1 | no | — |
| 423 | C2×Q8 | — | 13 | 2 | no | — |
| 424 | C2×Q8 | — | 26 | 2 | no | — |
| 425 | C2×Q8 | C23×D13 | 1 | 4 | yes | — |
| 426 | C2×D4 | — | 13 | 2 | no | — |
| 427 | C2×D4 | — | 13 | 1 | no | — |
| 428 | C2×D4 | — | 13 | 2 | no | — |
| 429 | C2×D4 | — | 26 | 4 | no | — |
| 430 | C2×D4 | — | 26 | 2 | no | — |
| 431 | C2×D4 | — | 26 | 2 | no | — |
| 432 | C22×C4 | — | 2 | 2 | no | — |
| 433 | C22×C4 | — | 2 | 2 | no | — |
| 434 | C22×C4 | — | 13 | 2 | no | — |
| 435 | C22×C4 | — | 13 | 4 | no | — |
| 436 | C22×C4 | — | 26 | 4 | no | — |
| 437 | C22×C4 | — | 26 | 2 | no | — |
| 438 | C22×C4 | D4×D13 | 1 | 2 | yes | — |
| 439 | C22×C4 | C23×D13 | 1 | 1 | yes | characteristic |
| 440 | Q16 | — | 26 | 16 | no | — |
| 441 | SD16 | — | 26 | 16 | no | — |
| 442 | M16 | — | 13 | 8 | no | — |
| 443 | M16 | — | 26 | 8 | no | — |
| 444 | C2×C8 | — | 2 | 4 | no | — |
| 445 | C2×C8 | — | 13 | 4 | no | — |
| 446 | C2×C8 | — | 26 | 8 | no | — |
| 447 | C2×C8 | C23×D13 | 1 | 2 | yes | — |
| 448 | C2×C8 | C23×D13 | 1 | 2 | yes | — |
| 449 | C4⋊C4 | — | 2 | 4 | no | — |
| 450 | C4⋊C4 | — | 2 | 4 | no | — |
| 451 | C4⋊C4 | — | 2 | 4 | no | — |
| 452 | C4⋊C4 | — | 2 | 4 | no | — |
| 453 | C4⋊C4 | — | 2 | 2 | no | — |
| 454 | C4⋊C4 | — | 13 | 2 | no | — |
| 455 | C4⋊C4 | — | 13 | 4 | no | — |
| 456 | C4⋊C4 | — | 13 | 4 | no | — |
| 457 | C4⋊C4 | — | 26 | 4 | no | — |
| 458 | C4⋊C4 | — | 26 | 8 | no | — |
| 459 | C4⋊C4 | — | 26 | 4 | no | — |
| 460 | C4⋊C4 | — | 26 | 8 | no | — |
| 461 | C4⋊C4 | — | 26 | 2 | no | — |
| 462 | C4⋊C4 | — | 26 | 2 | no | — |
| 463 | C4⋊C4 | — | 26 | 4 | no | — |
| 464 | C4⋊C4 | C23×D13 | 1 | 4 | yes | — |
| 465 | C22⋊C4 | — | 13 | 2 | no | — |
| 466 | C22⋊C4 | — | 13 | 4 | no | — |
| 467 | C22⋊C4 | — | 26 | 4 | no | — |
| 468 | C22⋊C4 | — | 26 | 4 | no | — |
| 469 | C22⋊C4 | — | 26 | 8 | no | — |
| 470 | C22⋊C4 | — | 26 | 4 | no | — |
| 471 | C22⋊C4 | — | 26 | 2 | no | — |
| 472 | C22⋊C4 | — | 26 | 2 | no | — |
| 473 | C22⋊C4 | — | 26 | 2 | no | — |
| 474 | C42 | — | 13 | 4 | no | — |
| 475 | C42 | — | 13 | 2 | no | — |
| 476 | C42 | — | 26 | 4 | no | — |
| 477 | C42 | — | 26 | 8 | no | — |
| 478 | C42 | — | 26 | 2 | no | — |
| 479 | C42 | D4×D13 | 1 | 2 | yes | — |
| 480 | C42 | C23×D13 | 1 | 1 | yes | characteristic |
| 481 | C42 | C23×D13 | 1 | 1 | yes | characteristic |
| 482 | C13 | #60726 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 483 | C23 | — | 13 | 2 | no | — |
| 484 | C23 | — | 26 | 2 | no | — |
| 485 | C23 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 486 | Q8 | — | 2 | 8 | no | — |
| 487 | Q8 | — | 4 | 4 | no | — |
| 488 | Q8 | — | 26 | 2 | no | — |
| 489 | Q8 | — | 26 | 4 | no | — |
| 490 | Q8 | — | 52 | 4 | no | — |
| 491 | D4 | — | 26 | 4 | no | — |
| 492 | D4 | — | 26 | 2 | no | — |
| 493 | D4 | — | 26 | 4 | no | — |
| 494 | D4 | — | 52 | 4 | no | — |
| 495 | D4 | — | 104 | 2 | no | — |
| 496 | D4 | — | 104 | 4 | no | — |
| 497 | C2×C4 | — | 2 | 4 | no | — |
| 498 | C2×C4 | — | 2 | 4 | no | — |
| 499 | C2×C4 | — | 4 | 2 | no | — |
| 500 | C2×C4 | — | 4 | 4 | no | — |
| 501 | C2×C4 | — | 8 | 2 | no | — |
| 502 | C2×C4 | — | 13 | 4 | no | — |
| 503 | C2×C4 | — | 13 | 2 | no | — |
| 504 | C2×C4 | — | 26 | 4 | no | — |
| 505 | C2×C4 | — | 26 | 4 | no | — |
| 506 | C2×C4 | — | 26 | 2 | no | — |
| 507 | C2×C4 | — | 52 | 4 | no | — |
| 508 | C2×C4 | — | 52 | 4 | no | — |
| 509 | C2×C4 | — | 104 | 4 | no | — |
| 510 | C2×C4 | C2×D4×D13 | 1 | 2 | yes | — |
| 511 | C2×C4 | C2×D4×D13 | 1 | 2 | yes | — |
| 512 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 513 | C2×C4 | #41×D13 | 1 | 4 | yes | — |
| 514 | C2×C4 | C24×D13 | 1 | 1 | yes | characteristic |
| 515 | C8 | — | 2 | 2 | no | — |
| 516 | C8 | — | 2 | 2 | no | — |
| 517 | C8 | — | 13 | 8 | no | — |
| 518 | C22 | — | 2 | 2 | no | — |
| 519 | C22 | — | 26 | 4 | no | — |
| 520 | C22 | — | 26 | 2 | no | — |
| 521 | C22 | — | 52 | 2 | no | — |
| 522 | C22 | — | 52 | 2 | no | — |
| 523 | C22 | — | 52 | 2 | no | — |
| 524 | C22 | #11719373 | 1 | 2 | yes | — |
| 525 | C22 | C22×D4×D13 | 1 | 1 | yes | characteristic |
| 526 | C4 | — | 2 | 2 | no | — |
| 527 | C4 | — | 2 | 2 | no | — |
| 528 | C4 | — | 4 | 4 | no | — |
| 529 | C4 | — | 4 | 4 | no | — |
| 530 | C4 | — | 26 | 4 | no | — |
| 531 | C4 | — | 26 | 2 | no | — |
| 532 | C4 | — | 52 | 4 | no | — |
| 533 | C4 | — | 52 | 2 | no | — |
| 534 | C4 | #11719373 | 1 | 2 | yes | — |
| 535 | C4 | C2×#41×D13 | 1 | 2 | yes | — |
| 536 | C2 | — | 2 | 2 | no | — |
| 537 | C2 | — | 52 | 2 | no | — |
| 538 | C2 | — | 104 | 2 | no | — |
| 539 | C2 | C2×#11719373 | 1 | 1 | yes | characteristic |
| 540 | C2 | #13129619 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13128720 | C2 | semidirect |
| 3. #13125544 | C2 | semidirect |
| 4. #13125494 | C2 | semidirect |
| 5. #13125467 | C2 | semidirect |
| 6. #13125441 | C2 | semidirect |
| 7. #13125385 | C2 | semidirect |
| 8. #13125293 | C2 | semidirect |
| 9. #13125182 | C2 | semidirect |
| 10. #13124525 | C2 | semidirect |
| 11. #13123673 | C2 | semidirect |
| 12. #13123261 | C2 | semidirect |
| 13. C2×C13×#491 | C2 | semidirect |
| 222. C2×#491 | D13 | semidirect |
| 482. C13 | #60726 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13128760 | 2 |
| #13128720 | 2 |
| #13125544 | 2 |
| #13125494 | 2 |
| #13125467 | 2 |
| #13125441 | 2 |
| #13125385 | 2 |
| #13125293 | 2 |
| #13125182 | 2 |
| #13124525 | 2 |
| #13123673 | 2 |
| #13123261 | 2 |
| C2×C13×#491 | 2 |
| #60726 | 13 |