Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
288 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 288 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 | #1684 | semidirect |
| 264. C5 | #68471 | semidirect |
| 275. C3 | #10601740 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#4830 | 2 |
| #11746961 | 2 |
| #11746927 | 2 |
| #11746920 | 2 |
| #11746302 | 2 |
| C3×#64702 | 2 |
| #11745869 | 2 |
| #10601740 | 3 |
| #68471 | 5 |