Finite Group DatabasebetaFinite Group DatabasebetaOrder 432.
118 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 118 conjugacy classes of subgroups — too many to draw. Only its 43 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 |
|---|---|---|
| 2. C2×C3⋊Dic9 | C2 | semidirect |
| 3. C2×C3×Dic9 | C2 | semidirect |
| 9. C2×D3×C9 | C4 | semidirect |
| 18. C2×Dic9 | D3 | semidirect |
| 39. C3×C9 | C22⋊C4 | semidirect |
| 67. C2×D3 | Dic9 | semidirect |
| 75. C9 | (C2×D3)⋊C4 | semidirect |
| 97. C3 | #3676 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D3×C9 | 2 |
| C2×C3⋊Dic9 | 2 |
| C2×C3×Dic9 | 2 |
| (C2×D3)⋊Dic3 | 3 |
| #3676 | 3 |