Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | D3×#66169 |
| Fitting | C3×C5×H(5,𝔽2) ⋊ C22 |
| Hall | C3×C5 ⋊ C2×#576 |
| Sylow | C5 ⋊ D3×#576 |
| Sylow | C3 ⋊ C2×#66169 |
3024 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
168 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 235675);