Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | D12×#685 |
| Fitting | C2×C3×C42×C5 ⋊ C22 |
| Hall | C3×C5 ⋊ D4×C22⋊C4 |
| Sylow | C5 ⋊ C22⋊C4×D12 |
| Sylow | C3 ⋊ D4×#685 |
2504 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
234 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 51678);