Finite Group DatabasebetaFinite Group DatabasebetaOrder 1440.
168 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 80. C5×C9 | #125 | semidirect |
| 137. C9 | #4035 | semidirect |
| 148. C5 | #63451 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623604 | 2 |
| C5×Dic9⋊C4 | 2 |
| C9×C4⋊Dic5 | 2 |
| #10623559 | 2 |
| #10623557 | 2 |
| Dic5×Dic9 | 2 |
| #91339 | 3 |
| #63451 | 5 |