Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
508 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 508 conjugacy classes of subgroups — too many to draw. Only its 113 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. #13117556 | C2 | semidirect |
| 5. #13112696 | C2 | semidirect |
| 6. #13112664 | C2 | semidirect |
| 7. C13×#1546 | C2 | semidirect |
| 16. #11718749 | C4 | semidirect |
| 18. #11718739 | C4 | semidirect |
| 120. #1546 | D13 | semidirect |
| 303. C13 | #9300 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125957 | 2 |
| #13117556 | 2 |
| #13115667 | 2 |
| #13113397 | 2 |
| #13112696 | 2 |
| #13112664 | 2 |
| C13×#1546 | 2 |
| #9300 | 13 |