Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
280 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 88 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 | #71123 | semidirect |
| 275. C3 | #10601760 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751122 | 2 |
| C5×#5024 | 2 |
| C3×#65309 | 2 |
| #11746920 | 2 |
| #11745866 | 2 |
| #11745863 | 2 |
| #11745856 | 2 |
| #10601760 | 3 |
| #71123 | 5 |