Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
438 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 3. #13130404 | C2 | semidirect |
| 4. #13130392 | C2 | semidirect |
| 5. #13129733 | C2 | semidirect |
| 6. #13129671 | C2 | semidirect |
| 25. C13×D4⋊C8 | C4 | semidirect |
| 26. D4⋊#1055 | C4 | semidirect |
| 27. #11718076 | C4 | semidirect |
| 28. #11718048 | C4 | semidirect |
| 185. D4⋊C8 | #261 | semidirect |
| 301. C13 | #8904 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131481 | 2 |
| #13130708 | 2 |
| #13130404 | 2 |
| #13130392 | 2 |
| #13129733 | 2 |
| #13129671 | 2 |
| #13113215 | 2 |
| #8904 | 13 |