Finite Group DatabasebetaFinite Group DatabasebetaOrder 1440.
114 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 114 conjugacy classes of subgroups — too many to draw. Only its 47 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 |
|---|---|---|
| 48. C5×C9 | #101 | semidirect |
| 84. C9 | #3968 | semidirect |
| 93. C5 | #63382 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×Dic18 | 2 |
| #10623602 | 2 |
| C9×#681 | 2 |
| #90962 | 3 |
| #63382 | 5 |