Finite Group DatabasebetaFinite Group DatabasebetaOrder 2592.
303 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 303 conjugacy classes of subgroups — too many to draw. Only its 68 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 |
|---|---|---|
| 2. C4×C9⋊Dic9 | C2 | semidirect |
| 3. C9×#3667 | C2 | semidirect |
| 9. C9×D36 | C4 | semidirect |
| 11. C9×Dic18 | C4 | semidirect |
| 59. #3667 | D9 | semidirect |
| 78. C92 | #104 | semidirect |
| 101. D36 | Dic9 | semidirect |
| 103. Dic18 | Dic9 | semidirect |
| 209. C9 | #63384 | semidirect |
| 210. C9 | #63396 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#3697 | 2 |
| C4×C9⋊Dic9 | 2 |
| C9×#3667 | 2 |
| #11720300 | 3 |
| #11720291 | 3 |