Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
390 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 86 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. #13131178 | C2 | semidirect |
| 4. #13130756 | C2 | semidirect |
| 5. #13129909 | C2 | semidirect |
| 6. #13129900 | C2 | semidirect |
| 14. C13×#441 | C4 | semidirect |
| 15. #11718845 | C4 | semidirect |
| 17. #11718530 | C4 | semidirect |
| 21. #11718372 | C4 | semidirect |
| 168. #441 | #261 | semidirect |
| 296. C13 | #12828 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131178 | 2 |
| #13131158 | 2 |
| #13131152 | 2 |
| #13130756 | 2 |
| #13129909 | 2 |
| #13129900 | 2 |
| #13123716 | 2 |
| #12828 | 13 |