Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29×C4 |
| direct product | C22×#91829 |
| Fitting | C23×C3×C5×D4 ⋊ C2 |
| Hall | C3×C5 ⋊ C22×#127 |
| Sylow | C5 ⋊ C22×#940 |
| Sylow | C3 ⋊ C22×#4086 |
6000 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, 205661);