Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C25 |
| direct product | C3×#10602447 |
| Fitting | C3×C5×#518 ⋊ C2 |
| Hall | C3×C5 ⋊ #1889 |
| Sylow | C5 ⋊ C3×#1889 |
1156 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
300 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 27317);