Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
614 conjugacy classes of subgroups; only the 184 normal subgroups are shown.
This group has 614 conjugacy classes of subgroups — too many to draw. Only its 184 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 |
|---|---|---|
| 17. C13×#500 | C4 | semidirect |
| 18. #11718740 | C4 | semidirect |
| 20. #11718539 | C4 | semidirect |
| 22. #11718343 | C4 | semidirect |
| 116. #500 | #261 | semidirect |
| 209. C13 | #22256 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131625 | 2 |
| #13131021 | 2 |
| #13130904 | 2 |
| #13130760 | 2 |
| #13130549 | 2 |
| #13125347 | 2 |
| #22256 | 13 |