Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
558 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 69 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. C2×C3×C9×C3⋊D3 | C2 | semidirect |
| 2. C3×C9×C3⋊Dic3 | C2 | semidirect |
| 11. C2×C9×C3⋊D3 | D3 | semidirect |
| 16. C9×C3⋊Dic3 | D3 | semidirect |
| 19. C33×C9 | D4 | semidirect |
| 20. #6295 | C9 | direct (N × H) |
| 43. C2×C3×C3⋊D3 | C2×C9 | semidirect |
| 49. C3×C3⋊Dic3 | C2×C9 | semidirect |
| 74. C32×C9 | D12 | semidirect |
| 75. C32×C9 | #67 | semidirect |
| 125. C2×C3⋊D3 | D3×C9 | semidirect |
| 136. C3⋊Dic3 | D3×C9 | semidirect |
| 155. C33 | D4×C9 | semidirect |
| 175. C3×C9 | #625 | semidirect |
| 176. C3×C9 | #626 | semidirect |
| 254. C32 | C9×D12 | semidirect |
| 255. C32 | C9×#67 | semidirect |
| 263. C9 | #6295 | direct (N × H) |
| 292. C3 | C9×#625 | semidirect |
| 293. C3 | C9×#626 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C9×C3⋊D3 | 2 |
| C3×C9×C3⋊Dic3 | 2 |
| C3×#6295 | 3 |
| C9×#626 | 3 |
| C9×#625 | 3 |