Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
412 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 412 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. #13129918 | C2 | semidirect |
| 6. #13129903 | C2 | semidirect |
| 14. C13×#442 | C4 | semidirect |
| 15. #11718813 | C4 | semidirect |
| 17. #11718530 | C4 | semidirect |
| 21. #11718372 | C4 | semidirect |
| 171. #442 | #261 | semidirect |
| 304. C13 | #12826 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131178 | 2 |
| D13⋊#361 | 2 |
| #13131145 | 2 |
| #13130756 | 2 |
| #13129918 | 2 |
| #13129903 | 2 |
| #13123685 | 2 |
| #12826 | 13 |