Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
194 conjugacy classes of subgroups; only the 29 normal subgroups are shown.
This group has 194 conjugacy classes of subgroups — too many to draw. Only its 29 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. #11757805 | C2 | semidirect |
| 4. C22×#4176 | C3 | semidirect |
| 5. #10619772 | C3 | semidirect |
| 9. C3×C9⋊A4 | D3 | semidirect |
| 10. C22×#731 | C2×C3 | semidirect |
| 14. #66361 | C2×C3 | semidirect |
| 28. #4176 | A4 | semidirect |
| 33. C22×C3×C9 | C3×D3 | semidirect |
| 41. C3×C22⋊C9 | C3×D3 | semidirect |
| 53. #731 | C2×A4 | semidirect |
| 102. C3×C9 | D3×A4 | semidirect |
| 157. C22 | #92283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11757805 | 2 |
| A4×#272 | 3 |
| D3×C9⋊A4 | 3 |
| C22×#4176 | 3 |
| #10619772 | 3 |
| #92283 | 4 |