Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
478 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
|---|---|---|
| 2. #13131021 | C2 | semidirect |
| 4. #13130159 | C2 | semidirect |
| 5. #13129722 | C2 | semidirect |
| 6. #13129663 | C2 | semidirect |
| 20. C13×#475 | C4 | semidirect |
| 21. #11718748 | C4 | semidirect |
| 22. #11718692 | C4 | semidirect |
| 25. #11718502 | C4 | semidirect |
| 189. #475 | #261 | semidirect |
| 341. C13 | #8971 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131766 | 2 |
| #13131021 | 2 |
| C4×#88118 | 2 |
| #13130159 | 2 |
| #13129722 | 2 |
| #13129663 | 2 |
| #13124910 | 2 |
| #8971 | 13 |