Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
390 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 139 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. C3⋊(Dic9⋊C9) | C2 | direct (N × H) |
| 6. C2×C3×C9⋊C9 | C4 | semidirect |
| 16. C3×C9⋊C9 | C2×C4 | semidirect |
| 18. C2×C3⋊Dic9 | C9 | semidirect |
| 30. C2×C9⋊C9 | Dic3 | semidirect |
| 43. C3⋊Dic9 | C2×C9 | semidirect |
| 51. C9⋊C9 | C2×Dic3 | semidirect |
| 71. C2×C3×C9 | C4×C9 | semidirect |
| 99. C3×C9 | C2×C4×C9 | semidirect |
| 123. C2×C9 | C9×Dic3 | semidirect |
| 142. C9 | C2×C9×Dic3 | semidirect |
| 148. C2×C3 | Dic9⋊C9 | semidirect |
| 158. C3 | C2×Dic9⋊C9 | semidirect |
| 161. C2 | C3⋊(Dic9⋊C9) | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C3×C9⋊C9 | 2 |
| C3⋊(Dic9⋊C9) | 2 |
| C2×C9×C3⋊Dic3 | 3 |
| C2×C3×C3⋊Dic9 | 3 |
| C2×Dic9⋊C9 | 3 |