Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
327 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 327 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 3. #10619985 | C3 | semidirect |
| 19. C9⋊H(3,𝔽3) | Q8 | semidirect |
| 53. C3×3−1+2 | Dic6 | semidirect |
| 55. C32×C9 | C3×Q8 | semidirect |
| 58. C32⋊C9 | Dic6 | semidirect |
| 151. C32 | 3−1+2⋊Q8 | semidirect |
| 156. C9 | #634⋊C3 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C9⋊H(3,𝔽3) | 2 |
| #11757607 | 2 |
| #10619985 | 3 |
| #10619962 | 3 |
| #10619956 | 3 |
| #10619590 | 3 |