Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
474 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 19. C13×#462 | C4 | semidirect |
| 22. #11718751 | C4 | semidirect |
| 23. #11718682 | C4 | semidirect |
| 24. #11718511 | C4 | semidirect |
| 110. C4×#261 | Q16 | semidirect |
| 196. #462 | #261 | semidirect |
| 349. C13 | #9236 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131295 | 2 |
| #13131021 | 2 |
| #13130219 | 2 |
| #13130165 | 2 |
| #13129733 | 2 |
| #13129663 | 2 |
| #13124874 | 2 |
| #9236 | 13 |