Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
456 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 2. #13114861 | C2 | semidirect |
| 4. #13112743 | C2 | semidirect |
| 5. C13×#1810 | C2 | semidirect |
| 8. C2×#88155 | C4 | semidirect |
| 15. #11718771 | C4 | semidirect |
| 19. #11718763 | C4 | semidirect |
| 20. #11718762 | C4 | semidirect |
| 116. #1810 | D13 | semidirect |
| 298. C13 | #8626 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123530 | 2 |
| #13114861 | 2 |
| #13113380 | 2 |
| #13112743 | 2 |
| C13×#1810 | 2 |
| #8626 | 13 |