Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
532 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 74 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 |
| 7. C22×C32×C9 | D3 | semidirect |
| 12. #66436 | D3 | semidirect |
| 14. C3×C9×A4 | D3 | semidirect |
| 35. C22×C3×C9 | C3⋊D3 | semidirect |
| 43. C9×A4 | C3⋊D3 | semidirect |
| 52. C32×C9 | S4 | semidirect |
| 100. C3×C9 | C3⋊S4 | semidirect |
| 122. C22×C3 | #4208 | semidirect |
| 152. C22 | C3⋊#4208 | semidirect |
| 157. C3 | #10620044 | semidirect |
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 |
| C9×C3⋊S4 | 3 |
| C9×#638 | 3 |
| C3⋊#4208 | 4 |