Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
294 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 9. C42×Dic13 | C4 | semidirect |
| 10. #11718585 | C4 | semidirect |
| 11. C13×#354 | C4 | semidirect |
| 14. #11718133 | C4 | semidirect |
| 110. #354 | Dic13 | semidirect |
| 190. C13 | #7500 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116501 | 2 |
| #13115665 | 2 |
| C13×#2126 | 2 |
| #7500 | 13 |