Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
482 conjugacy classes of subgroups; only the 120 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 120 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. #13130549 | C2 | semidirect |
| 4. #13130048 | C2 | semidirect |
| 5. #13129668 | C2 | semidirect |
| 6. #13129663 | C2 | semidirect |
| 9. D4×#1057 | C4 | semidirect |
| 13. #11719074 | C4 | semidirect |
| 25. C13×D4⋊C8 | C4 | semidirect |
| 26. D4⋊#1055 | C4 | semidirect |
| 27. #11718076 | C4 | semidirect |
| 28. #11718048 | C4 | semidirect |
| 172. D4⋊C8 | #261 | semidirect |
| 280. C13 | #8193 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131641 | 2 |
| C4×#88116 | 2 |
| #13130549 | 2 |
| #13130048 | 2 |
| #13129668 | 2 |
| #13129663 | 2 |
| #13113215 | 2 |
| #8193 | 13 |