Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
314 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13116608 | C2 | semidirect |
| 5. #13112939 | C2 | semidirect |
| 6. #13112920 | C2 | semidirect |
| 7. C13×#1773 | C2 | semidirect |
| 19. #11718088 | C4 | semidirect |
| 20. #11718087 | C4 | semidirect |
| 98. #1773 | D13 | semidirect |
| 231. C13 | #13140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116608 | 2 |
| #13116583 | 2 |
| #13116571 | 2 |
| #13115729 | 2 |
| #13112939 | 2 |
| #13112920 | 2 |
| C13×#1773 | 2 |
| #13140 | 13 |