Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
316 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 100 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 |
|---|---|---|
| 236. C3×C5 | #2102 | semidirect |
| 273. C5 | #68751 | semidirect |
| 286. C3 | #10601521 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#5124 | 2 |
| #11748431 | 2 |
| #11746377 | 2 |
| C3×#64775 | 2 |
| #11745992 | 2 |
| #11745978 | 2 |
| #11745970 | 2 |
| #10601521 | 3 |
| #68751 | 5 |