Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
522 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 104 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 |
|---|---|---|
| 1. #13130572 | C2 | semidirect |
| 2. C8×C22⋊#261 | C2 | semidirect |
| 5. #13129718 | C2 | semidirect |
| 6. #13129716 | C2 | semidirect |
| 8. C2×#88161 | C4 | semidirect |
| 17. C13×#424 | C4 | semidirect |
| 19. #11718771 | C4 | semidirect |
| 20. #11718658 | C4 | semidirect |
| 27. #11718241 | C4 | semidirect |
| 28. #11718241 | C4 | semidirect |
| 29. #11718240 | C4 | semidirect |
| 30. #11718240 | C4 | semidirect |
| 192. #424 | #261 | semidirect |
| 341. C13 | #8240 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130572 | 2 |
| C8×C22⋊#261 | 2 |
| #13130213 | 2 |
| #13129718 | 2 |
| #13129716 | 2 |
| #13123529 | 2 |
| #8240 | 13 |