Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
422 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 422 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 |
|---|---|---|
| 15. #11718753 | C4 | semidirect |
| 17. #11718742 | C4 | semidirect |
| 104. C2×#1055 | Q16 | semidirect |
| 259. C13 | #9290 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125784 | 2 |
| #13123773 | 2 |
| #13115810 | 2 |
| #13113401 | 2 |
| #13112696 | 2 |
| #13112666 | 2 |
| C13×#1549 | 2 |
| #9290 | 13 |