Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C4×#92018 |
| Fitting | C2×C3×C42×C5 ⋊ C22 |
| Hall | C3×C5 ⋊ C4×H(5,𝔽2) |
| Sylow | C5 ⋊ C4×#1009 |
| Sylow | C3 ⋊ C4×#4144 |
3320 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
252 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 204943);