Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
354 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
| 55. C32×C9 | Dic6 | semidirect |
| 56. C32×C9 | C3×Q8 | semidirect |
| 59. C32⋊C9 | Dic6 | semidirect |
| 109. H(3,𝔽3) | Dic18 | semidirect |
| 157. C32 | C3×Dic18 | semidirect |
| 158. C32 | #6226 | semidirect |
| 163. 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 |
| #11757601 | 2 |
| #10619985 | 3 |
| #10619956 | 3 |
| C3×#6226 | 3 |
| #10619590 | 3 |