Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
280 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
|---|---|---|
| 230. C3×C5 | #1704 | semidirect |
| 264. C5 | #71155 | semidirect |
| 275. C3 | #10602036 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#5093 | 2 |
| C3×#65380 | 2 |
| #11746918 | 2 |
| #11746861 | 2 |
| #11746367 | 2 |
| #11745866 | 2 |
| #11745857 | 2 |
| #10602036 | 3 |
| #71155 | 5 |