Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
304 conjugacy classes of subgroups; only the 30 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 30 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. #11757837 | C2 | semidirect |
| 2. C22×C3×#272 | C3 | semidirect |
| 4. #10619771 | C3 | semidirect |
| 10. C3×#1094 | D3 | semidirect |
| 12. #66362 | C2×C3 | semidirect |
| 16. C22×#272 | C32 | semidirect |
| 21. C3×#272 | A4 | semidirect |
| 41. C3×C22⋊C9 | C3×D3 | semidirect |
| 64. #272 | C3×A4 | semidirect |
| 162. C22 | #92285 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11757837 | 2 |
| C22×C3×#272 | 3 |
| D3×#1094 | 3 |
| #10619771 | 3 |
| #92285 | 4 |