Finite Group DatabasebetaFinite Group DatabasebetaOrder 1458.
121 conjugacy classes of subgroups; only the 26 normal subgroups are shown.
This group has 121 conjugacy classes of subgroups — too many to draw. Only its 26 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. #10624790 | C2 | semidirect |
| 2. C3⋊(D9⋊C9) | C3 | semidirect |
| 5. #92177 | C3 | semidirect |
| 9. C3×C9⋊C9 | C2×C3 | semidirect |
| 12. #6868 | C2×C3 | semidirect |
| 39. C3⋊D9 | 3−1+2 | semidirect |
| 65. C3×C9 | C2×3−1+2 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10624790 | 2 |
| C3⋊(D9⋊C9) | 3 |
| C3×#4179 | 3 |
| #92262 | 3 |
| #92177 | 3 |