Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×#91836 |
| Fitting | C2×C3×C4×C5×Q8 ⋊ C2 |
| Hall | C3×C5 ⋊ C4×#124 |
| Sylow | C5 ⋊ C4×#947 |
| Sylow | C3 ⋊ C4×#4093 |
1304 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
336 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 47644);