Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
462 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 108 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. #13130630 | C2 | semidirect |
| 4. #13130050 | C2 | semidirect |
| 5. #13129732 | C2 | semidirect |
| 6. #13129726 | C2 | semidirect |
| 15. C8×D4×C13 | C4 | semidirect |
| 17. #11718673 | C4 | semidirect |
| 18. #11718499 | C4 | semidirect |
| 22. C8×D52 | C4 | semidirect |
| 24. #11718297 | C4 | semidirect |
| 29. #11718245 | C4 | semidirect |
| 186. C8×D4 | #261 | semidirect |
| 327. C13 | #8253 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130630 | 2 |
| #13130333 | 2 |
| #13130215 | 2 |
| #13130050 | 2 |
| #13129732 | 2 |
| #13129726 | 2 |
| #13123543 | 2 |
| #8253 | 13 |