Finite Group DatabasebetaFinite Group DatabasebetaOrder 1440.
114 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 114 conjugacy classes of subgroups — too many to draw. Only its 52 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 |
|---|---|---|
| 18. C5×Dic9 | C8 | semidirect |
| 48. C5×C9 | C4⋊C8 | semidirect |
| 58. Dic9 | #170 | semidirect |
| 88. C9 | C4⋊#170 | semidirect |
| 97. C5 | Dic9⋊C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C9⋊#170 | 2 |
| C2×C9×#170 | 2 |
| Dic5×Dic9 | 2 |
| Dic3⋊#170 | 3 |
| Dic9⋊C8 | 5 |