Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
436 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 20. C13×#462 | C4 | semidirect |
| 23. #11718751 | C4 | semidirect |
| 24. #11718681 | C4 | semidirect |
| 25. #11718512 | C4 | semidirect |
| 183. #462 | #261 | semidirect |
| 324. C13 | #9166 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131737 | 2 |
| #13130608 | 2 |
| #13130309 | 2 |
| #13130219 | 2 |
| #13129729 | 2 |
| #13129688 | 2 |
| #13124965 | 2 |
| #9166 | 13 |