Order 3328.
604 conjugacy classes of subgroups.
The subgroup lattice has 372 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 10. C4×C13×C4⋊C4 | C4 | semidirect |
| 12. C13×#376 | C4 | semidirect |
| 18. #11718597 | C4 | semidirect |
| 20. #11718593 | C4 | semidirect |
| 22. #11718587 | C4 | semidirect |
| 24. #11718586 | C4 | semidirect |
| 176. C4×C4⋊C4 | Dic13 | semidirect |
| 180. #376 | Dic13 | semidirect |
| 296. C13 | #7944 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123469 | 2 |
| #13117234 | 2 |
| #13112689 | 2 |
| C13×#2283 | 2 |
| #7944 | 13 |