Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
381 conjugacy classes of subgroups; only the 33 normal subgroups are shown.
This group has 381 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. #11757833 | C2 | semidirect |
| 10. C32×C22⋊C9 | D3 | semidirect |
| 12. C32⋊(C22⋊C9) | D3 | semidirect |
| 149. C22 | #92305 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11757833 | 2 |
| C22×C3⋊#272 | 3 |
| C3⋊D3×C22⋊C9 | 3 |
| (C3⋊D3)⋊(C22⋊C9) | 3 |
| #92305 | 4 |