Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
360 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 103 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13116625 | C2 | semidirect |
| 5. #13112946 | C2 | semidirect |
| 6. #13112918 | C2 | semidirect |
| 7. C13×#1772 | C2 | semidirect |
| 19. #11718087 | C4 | semidirect |
| 100. #1772 | D13 | semidirect |
| 244. C13 | #13136 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116625 | 2 |
| C2×#11718087 | 2 |
| #13116551 | 2 |
| #13115702 | 2 |
| #13112946 | 2 |
| #13112918 | 2 |
| C13×#1772 | 2 |
| #13136 | 13 |