Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C5 · Schur multiplier (H2) = C29 |
| direct product | C2×C5×Q8×D12 |
| Fitting | C2×C3×C4×C5×Q8 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×D4×Q8 |
| Sylow | C3 ⋊ C2×C5×D4×Q8 |
3136 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
450 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 208609);