Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
358 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 358 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 |
|---|---|---|
| 1. #13131183 | C2 | semidirect |
| 2. C2×#11718219 | C2 | semidirect |
| 5. #13129914 | C2 | semidirect |
| 6. #13129908 | C2 | semidirect |
| 15. C13×#504 | C4 | semidirect |
| 16. #11718801 | C4 | semidirect |
| 18. #11718568 | C4 | semidirect |
| 22. #11718562 | C4 | semidirect |
| 171. #504 | #261 | semidirect |
| 301. C13 | #12833 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131183 | 2 |
| C2×#11718219 | 2 |
| #13130724 | 2 |
| #13130722 | 2 |
| #13129914 | 2 |
| #13129908 | 2 |
| #13127937 | 2 |
| #12833 | 13 |