Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
640 conjugacy classes of subgroups; only the 142 normal subgroups are shown.
This group has 640 conjugacy classes of subgroups — too many to draw. Only its 142 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 |
|---|---|---|
| 13. C13×#424 | C4 | semidirect |
| 14. #11718780 | C4 | semidirect |
| 15. #11718763 | C4 | semidirect |
| 16. #11718660 | C4 | semidirect |
| 164. #424 | #261 | semidirect |
| 285. C13 | #11234 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131489 | 2 |
| #13130534 | 2 |
| #13130508 | 2 |
| C2×#11718267 | 2 |
| #13123397 | 2 |
| #11234 | 13 |