Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
370 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 35. C2×Dic52 | Q8 | 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 |
| #13116557 | 2 |
| #13116555 | 2 |
| #13115705 | 2 |
| #13112943 | 2 |
| #13112919 | 2 |
| C13×#1386 | 2 |
| #13368 | 13 |