Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
612 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 5. C23×Dic26 | C4 | semidirect |
| 13. #11718873 | C4 | semidirect |
| 16. #11718607 | C4 | semidirect |
| 44. C13×#100 | Q8 | semidirect |
| 213. #100 | Dic26 | semidirect |
| 275. C13 | #13293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13118201 | 2 |
| #13114824 | 2 |
| #13112955 | 2 |
| C4×C13×#100 | 2 |
| #13293 | 13 |