Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
226 conjugacy classes of subgroups; only the 38 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 38 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. #11757822 | C2 | semidirect |
| 12. C9×C22⋊C9 | D3 | semidirect |
| 27. C22×C3×C9 | D9 | semidirect |
| 76. C3×C9 | (C22⋊C9)⋊C2 | semidirect |
| 123. C22 | #92295 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11757822 | 2 |
| C9×#638 | 3 |
| #10619761 | 3 |
| C9×(C22⋊C9)⋊C2 | 3 |
| #92295 | 4 |