Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
189 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 189 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
|---|---|---|
| 19. #6896 | Q8 | semidirect |
| 46. C9⋊C9 | Dic6 | semidirect |
| 49. C92 | Dic6 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#6896 | 2 |
| #11757612 | 2 |
| #10619654 | 3 |
| Dic18⋊C9 | 3 |
| #634⋊C9 | 3 |
| C9×Dic18 | 3 |