Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C23 |
| direct product | #67×#674 |
| Hall | C3×C5 ⋊ D4×C16 |
| Sylow | C5 ⋊ C16×#67 |
| Sylow | C3 ⋊ D4×#674 |
348 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
180 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 40713);