Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
369 conjugacy classes of subgroups; only the 33 normal subgroups are shown.
This group has 369 conjugacy classes of subgroups — too many to draw. Only its 33 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×#66361 | C2 | semidirect |
| 10. C32×C22⋊C9 | D3 | semidirect |
| 12. #66361 | D3 | semidirect |
| 44. C3×C22⋊C9 | C3⋊D3 | semidirect |
| 138. C22×C3 | #4176 | semidirect |
| 178. C22 | C3⋊#4176 | semidirect |
| 183. C3 | #10619772 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#66361 | 2 |
| C22×C3⋊#272 | 3 |
| C3⋊D3×C22⋊C9 | 3 |
| #10619772 | 3 |
| C3⋊#4176 | 4 |