Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
404 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 60 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. C22×#6893 | C2 | semidirect |
| 2. C2×#92305 | C2 | semidirect |
| 3. #11757609 | C2 | semidirect |
| 12. C22×C32×C9 | D3 | semidirect |
| 18. C22×C32⋊C9 | D3 | semidirect |
| 21. #6893 | D4 | semidirect |
| 60. C32×C9 | #67 | semidirect |
| 62. C32⋊C9 | #67 | semidirect |
| 189. C22 | #92305 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6893 | 2 |
| C2×#92305 | 2 |
| #11757609 | 2 |
| #10619994 | 3 |
| C9×#638 | 3 |
| #638⋊C9 | 3 |