Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
456 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 88 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. #13130715 | C2 | semidirect |
| 2. #13130712 | C2 | semidirect |
| 4. #13129736 | C2 | semidirect |
| 6. C2×#88155 | C4 | semidirect |
| 13. C13×#405 | C4 | semidirect |
| 14. #11718790 | C4 | semidirect |
| 16. #11718660 | C4 | semidirect |
| 173. #405 | #261 | semidirect |
| 298. C13 | #8626 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130715 | 2 |
| #13130712 | 2 |
| #13130253 | 2 |
| #13129736 | 2 |
| #13123532 | 2 |
| #8626 | 13 |