Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
952 conjugacy classes of subgroups.
The subgroup lattice has 304 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 8. C3×C5×#95 | C4 | semidirect |
| 39. C5×#95 | Dic3 | semidirect |
| 70. C3×#95 | Dic5 | semidirect |
| 157. #95 | Dic15 | semidirect |
| 223. C3×C5 | #1443 | semidirect |
| 278. C5 | #69416 | semidirect |
| 295. C3 | #10600209 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C5×#95 | 2 |
| C2×#91115 | 2 |
| #10600209 | 3 |
| #69416 | 5 |