Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
426 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 20. C13×#487 | C4 | semidirect |
| 21. #11718742 | C4 | semidirect |
| 22. #11718740 | C4 | semidirect |
| 26. #11718341 | C4 | semidirect |
| 168. #487 | #261 | semidirect |
| 297. C13 | #9292 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131629 | 2 |
| #13130967 | 2 |
| #13130346 | 2 |
| #13130270 | 2 |
| #13129690 | 2 |
| #13129661 | 2 |
| #13125976 | 2 |
| #9292 | 13 |