Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
452 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 74 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. #13131792 | C2 | semidirect |
| 2. #13130974 | C2 | semidirect |
| 3. #13130208 | C2 | semidirect |
| 4. #13130196 | C2 | semidirect |
| 5. #13129725 | C2 | semidirect |
| 6. #13129721 | C2 | semidirect |
| 22. C13×#496 | C4 | semidirect |
| 27. #11718732 | C4 | semidirect |
| 28. #11718716 | C4 | semidirect |
| 30. #11718363 | C4 | semidirect |
| 198. #496 | #261 | semidirect |
| 359. C13 | #8997 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131792 | 2 |
| #13130974 | 2 |
| #13130208 | 2 |
| #13130196 | 2 |
| #13129725 | 2 |
| #13129721 | 2 |
| #13125428 | 2 |
| #8997 | 13 |