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×#475 | C4 | semidirect |
| 21. #11718755 | C4 | semidirect |
| 22. #11718692 | C4 | semidirect |
| 25. #11718510 | C4 | semidirect |
| 181. #475 | #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 |
| #13130310 | 2 |
| #13130220 | 2 |
| #13129729 | 2 |
| #13129688 | 2 |
| #13124968 | 2 |
| #9166 | 13 |