Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×D3×#3961 |
| Hall | C3×C5 ⋊ C22×Q32 |
| Sylow | C5 ⋊ C2×D3×Q32 |
| Sylow | C3 ⋊ C22×#3961 |
720 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
150 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 203951);