Finite Group DatabasebetaFinite Group DatabasebetaOrder 1440.
180 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 59 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. C5×C4⋊Dic9 | C2 | semidirect |
| 3. C9×#683 | C2 | semidirect |
| 6. Dic9⋊Dic5 | C2 | semidirect |
| 7. Dic5×Dic9 | C2 | semidirect |
| 39. C4⋊Dic9 | D5 | semidirect |
| 59. #683 | D9 | semidirect |
| 85. C5×C9 | #126 | semidirect |
| 151. C9 | #4044 | semidirect |
| 163. C5 | #63460 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623606 | 2 |
| C5×C4⋊Dic9 | 2 |
| C9×#683 | 2 |
| #10623561 | 2 |
| Dic9⋊Dic5 | 2 |
| Dic5×Dic9 | 2 |
| #91337 | 3 |
| #63460 | 5 |