Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C5 · Schur multiplier (H2) = C26×C42 |
| direct product | C5×D3×H(3,𝔽4) |
| Fitting | C3×C5×H(3,𝔽4) ⋊ C2 |
| Hall | C3×C5 ⋊ C2×H(3,𝔽4) |
| Sylow | C3 ⋊ C2×C5×H(3,𝔽4) |
2816 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
285 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 220946);