Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
628 conjugacy classes of subgroups; only the 156 normal subgroups are shown.
This group has 628 conjugacy classes of subgroups — too many to draw. Only its 156 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 |
|---|---|---|
| 2. C3×#66146 | C2 | semidirect |
| 3. C2×#91120 | C2 | semidirect |
| 5. #11745969 | C2 | semidirect |
| 10. C5×#947 | C4 | semidirect |
| 12. C5×#944 | C4 | semidirect |
| 22. #66146 | D3 | semidirect |
| 95. #947 | Dic5 | semidirect |
| 97. #944 | Dic5 | semidirect |
| 265. C3×C5 | #1912 | semidirect |
| 308. C5 | #71663 | semidirect |
| 321. C3 | #10602657 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#5816 | 2 |
| C3×#66146 | 2 |
| C2×#91120 | 2 |
| #11748425 | 2 |
| #11745969 | 2 |
| #10602657 | 3 |
| #71663 | 5 |