Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
480 conjugacy classes of subgroups; only the 212 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 212 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 |
|---|---|---|
| 11. C5×#803 | C4 | semidirect |
| 12. C3×C4×#168 | C4 | semidirect |
| 38. C4×#168 | Dic3 | semidirect |
| 56. #803 | Dic5 | semidirect |
| 135. C3×C5 | #1746 | semidirect |
| 159. C5 | #69751 | semidirect |
| 167. C3 | #10600599 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751033 | 2 |
| C2×C5×#803 | 2 |
| C2×C3×C4×#168 | 2 |
| #11745968 | 2 |
| #10600599 | 3 |
| #69751 | 5 |