Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
438 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 118 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 |
|---|---|---|
| 10. C8×Q8×C13 | C4 | semidirect |
| 11. Q8×#1055 | C4 | semidirect |
| 15. #11718491 | C4 | semidirect |
| 19. C8×Dic26 | C4 | semidirect |
| 151. C8×Q8 | #261 | semidirect |
| 266. C13 | #8647 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130757 | 2 |
| #13130705 | 2 |
| D13⋊#334 | 2 |
| #13129715 | 2 |
| C8×Q8×D13 | 2 |
| #8647 | 13 |