Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C3×#10603800 |
| Fitting | C3×C5×#95 ⋊ C4 |
| Hall | C3×C5 ⋊ #1434 |
| Sylow | C5 ⋊ C3×#1434 |
1136 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
228 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 5593);