Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
284 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 63 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×#4177⋊C3 | C2 | semidirect |
| 2. C4×#6910 | C2 | semidirect |
| 3. C4⋊(C3⋊AGL(1,ℤ/9)) | C3 | semidirect |
| 5. C4⋊#4177 | C3 | semidirect |
| 8. C2×C3⋊AGL(1,ℤ/9) | C2×C3 | semidirect |
| 11. C3×C4×3−1+2 | C2×C3 | semidirect |
| 13. C2×#4177 | C2×C3 | semidirect |
| 15. C4×#731 | C2×C3 | semidirect |
| 16. #6910 | D4 | semidirect |
| 19. C4⋊(C3⋊D9) | C32 | semidirect |
| 34. C2×C3⋊D9 | C2×C32 | semidirect |
| 46. C3×C4×C9 | C2×C32 | semidirect |
| 48. C3×3−1+2 | C3×D4 | semidirect |
| 51. #731 | C3×D4 | semidirect |
| 102. C3×C9 | C32×D4 | semidirect |
| 153. C4 | #4177⋊C3 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#4177⋊C3 | 2 |
| C4×#6910 | 2 |
| C4⋊(C3⋊AGL(1,ℤ/9)) | 3 |
| C3×C4⋊((C3⋊D3)⋊C3) | 3 |
| C4⋊#4177 | 3 |