Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#11746715 |
| Fitting | C2×C3×C5×C16 ⋊ C4 |
| Hall | C3×C5 ⋊ C2×#346 |
| Sylow | C5 ⋊ C2×#4502 |
| Sylow | C3 ⋊ C2×#64844 |
400 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
240 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 38247);