Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
405 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 405 conjugacy classes of subgroups — too many to draw. Only its 87 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. C3×C32⋊C9 | Q8 | semidirect |
| 16. #6308 | C9 | semidirect |
| 47. C32×C9 | Dic6 | semidirect |
| 49. C32⋊C9 | Dic6 | semidirect |
| 95. C33 | Q8×C9 | semidirect |
| 102. C3×C9 | #634 | semidirect |
| 142. C32 | C9×Dic6 | semidirect |
| 162. C3 | #634⋊C9 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C4×C32⋊C9 | 2 |
| C3⋊((C3⋊Dic3)⋊C9) | 2 |
| C3×#6308 | 3 |
| C9×#634 | 3 |
| #634⋊C9 | 3 |