Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
370 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 29. C2×C13×Q16 | Q8 | semidirect |
| 165. C2×Q16 | Dic26 | semidirect |
| 237. C13 | #13368 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125359 | 2 |
| #13116556 | 2 |
| #13115708 | 2 |
| #13112942 | 2 |
| #13112941 | 2 |
| #13112919 | 2 |
| C13×#2141 | 2 |
| #13368 | 13 |