Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
515 conjugacy classes of subgroups; only the 154 normal subgroups are shown.
This group has 515 conjugacy classes of subgroups — too many to draw. Only its 154 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×C4×C32⋊C9 | C2 | semidirect |
| 3. Dic3×C32⋊C9 | C2 | semidirect |
| 5. C3×C4×D3×C9 | C3 | semidirect |
| 8. D3×C32⋊C9 | C4 | direct (N × H) |
| 13. C32×C4×C9 | C2×C3 | semidirect |
| 14. C3×C9×Dic3 | C2×C3 | semidirect |
| 19. C4×C32⋊C9 | D3 | direct (N × H) |
| 20. C3×C32⋊C9 | C2×C4 | semidirect |
| 24. C32×C4×D3 | C9 | semidirect |
| 31. C3×D3×C9 | C3×C4 | semidirect |
| 48. C33×C4 | C2×C9 | semidirect |
| 53. C32×Dic3 | C2×C9 | semidirect |
| 61. C3×C4×C9 | C3×D3 | semidirect |
| 64. C32×C9 | C2×C3×C4 | semidirect |
| 67. C32⋊C9 | C4×D3 | direct (N × H) |
| 89. C32×D3 | C4×C9 | semidirect |
| 121. C32×C4 | D3×C9 | semidirect |
| 140. C33 | C2×C4×C9 | semidirect |
| 146. C3×C9 | C3×C4×D3 | semidirect |
| 151. C4×D3 | C32⋊C9 | direct (N × H) |
| 194. C3×C4 | C2×C32⋊C9 | semidirect |
| 198. Dic3 | C2×C32⋊C9 | semidirect |
| 211. C32 | C4×D3×C9 | semidirect |
| 232. D3 | C4×C32⋊C9 | direct (N × H) |
| 235. C4 | D3×C32⋊C9 | direct (N × H) |
| 241. C3 | C2×C4×C32⋊C9 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D3×C32⋊C9 | 2 |
| C3×C4×C32⋊C9 | 2 |
| Dic3×C32⋊C9 | 2 |
| C33×C4×D3 | 3 |
| C3×C4×D3×C9 | 3 |
| C2×C4×C32⋊C9 | 3 |