Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
826 conjugacy classes of subgroups; only the 184 normal subgroups are shown.
This group has 826 conjugacy classes of subgroups — too many to draw. Only its 184 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 |
|---|---|---|
| 16. C13×#494 | C4 | semidirect |
| 17. #11718842 | C4 | semidirect |
| 18. #11718753 | C4 | semidirect |
| 19. #11718360 | C4 | semidirect |
| 111. #494 | #261 | semidirect |
| 189. C13 | #22277 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131327 | 2 |
| #13130967 | 2 |
| #13130830 | 2 |
| #13130758 | 2 |
| #13130554 | 2 |
| D13×#494 | 2 |
| #22277 | 13 |