Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
483 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 483 conjugacy classes of subgroups — too many to draw. Only its 62 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. C3×#66436 | C2 | semidirect |
| 3. #10620044 | C3 | direct (N × H) |
| 7. C22×C32×C9 | D3 | semidirect |
| 13. #66436 | C2×C3 | semidirect |
| 15. C3×C9×A4 | D3 | semidirect |
| 36. C22×C3×C9 | C3×D3 | semidirect |
| 48. C9×A4 | C3×D3 | semidirect |
| 58. C32×C9 | S4 | semidirect |
| 108. C3×C9 | C3×S4 | semidirect |
| 131. C22×C3 | #4208 | semidirect |
| 160. C22 | C3×#4208 | semidirect |
| 166. C3 | #10620044 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#66436 | 2 |
| C3×#6258 | 3 |
| #10620044 | 3 |
| C3×C9×S4 | 3 |
| C3×C9×#67 | 3 |
| C3×#4208 | 4 |