Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
308 conjugacy classes of subgroups; only the 36 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 36 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 |
| 4. #10619772 | C3 | direct (N × H) |
| 10. C32×C22⋊C9 | D3 | semidirect |
| 12. #66361 | C2×C3 | semidirect |
| 40. C3×C22⋊C9 | C3×D3 | semidirect |
| 125. C22×C3 | #4176 | semidirect |
| 157. C22 | C3×#4176 | semidirect |
| 162. C3 | #10619772 | direct (N × H) |
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 |