Finite Group DatabasebetaFinite Group DatabasebetaOrder 1458.
170 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 49 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. #10624561 | C2 | semidirect |
| 24. D9⋊C9 | C9 | semidirect |
| 43. C9⋊C9 | C2×C9 | semidirect |
| 106. D9 | C9⋊C9 | semidirect |
| 129. C9 | C2×C9⋊C9 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10624561 | 2 |
| D3×C9⋊C9 | 3 |
| C3×D9⋊C9 | 3 |
| C3×C9×D9 | 3 |