Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
390 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 87 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. C22×C3×C9⋊C9 | C2 | semidirect |
| 2. C2×C3⋊(D9⋊C9) | C2 | semidirect |
| 3. C3⋊(Dic9⋊C9) | C2 | semidirect |
| 18. C22×C9⋊C9 | D3 | semidirect |
| 21. C3×C9⋊C9 | D4 | semidirect |
| 23. #6233 | C9 | semidirect |
| 49. C22×C3×C9 | C2×C9 | semidirect |
| 52. C2×C3⋊D9 | C2×C9 | semidirect |
| 56. C3⋊Dic9 | C2×C9 | semidirect |
| 64. C9⋊C9 | #67 | semidirect |
| 111. C22×C9 | D3×C9 | semidirect |
| 122. C3×C9 | D4×C9 | semidirect |
| 156. C22×C3 | D9⋊C9 | semidirect |
| 173. C9 | C9×#67 | semidirect |
| 189. C22 | C3⋊(D9⋊C9) | semidirect |
| 193. C3 | #611⋊C9 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C3×C9⋊C9 | 2 |
| C2×C3⋊(D9⋊C9) | 2 |
| C3⋊(Dic9⋊C9) | 2 |
| C9×#638 | 3 |
| C3×#6233 | 3 |
| #611⋊C9 | 3 |