Finite Group DatabasebetaFinite Group DatabasebetaOrder 1458.
197 conjugacy classes of subgroups; only the 31 normal subgroups are shown.
This group has 197 conjugacy classes of subgroups — too many to draw. Only its 31 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 |
|---|---|---|
| 1. #10624688 | C2 | semidirect |
| 9. #6887 | D3 | semidirect |
| 11. #6868 | D3 | semidirect |
| 13. #6867 | D3 | semidirect |
| 17. C3⋊(C3⋊D9) | C9 | semidirect |
| 35. C32×C9 | C2×C9 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10624688 | 2 |
| C3×C3⋊(C3⋊D9) | 3 |
| #92294 | 3 |
| #92177 | 3 |
| #92175 | 3 |
| #92173 | 3 |