Order 3328.
1974 conjugacy classes of subgroups.
The subgroup lattice has 376 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. C2×#11718124 | C2 | semidirect |
| 11. C22×C4×Dic13 | C4 | semidirect |
| 15. C13×#380 | C4 | semidirect |
| 19. #11718868 | C4 | semidirect |
| 39. C2×C13×C4⋊C4 | C2×C4 | semidirect |
| 54. C2×#6099 | C2×C4 | semidirect |
| 106. C4×Dic13 | C22⋊C4 | semidirect |
| 174. #380 | Dic13 | semidirect |
| 188. C22×C13 | #339 | semidirect |
| 224. C2×C4⋊C4 | C2×Dic13 | semidirect |
| 298. C13 | #10719 | semidirect |
| 354. C22 | #11718124 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C4×Dic13 | 2 |
| C2×#11718868 | 2 |
| C2×#11718124 | 2 |
| C13×#2280 | 2 |
| #10719 | 13 |