Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
380 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 117 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×#362 | C4 | semidirect |
| 138. #362 | Dic13 | semidirect |
| 224. C13 | #12954 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123704 | 2 |
| #13116609 | 2 |
| C2×#11718157 | 2 |
| #13115627 | 2 |
| #13112950 | 2 |
| #13112923 | 2 |
| C2×C13×#362 | 2 |
| #12954 | 13 |