Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
566 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 96 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×#477 | C4 | semidirect |
| 20. #11718752 | C4 | semidirect |
| 21. #11718692 | C4 | semidirect |
| 24. #11718510 | C4 | semidirect |
| 114. C4×#261 | Q16 | semidirect |
| 199. #477 | #261 | semidirect |
| 357. C13 | #9232 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×Q8×#261 | 2 |
| #13131021 | 2 |
| #13130220 | 2 |
| #13130165 | 2 |
| #13129733 | 2 |
| #13129663 | 2 |
| #13124877 | 2 |
| #9232 | 13 |