Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×#67×#170 |
| Hall | C3×C5 ⋊ C2×C8×D4 |
| Sylow | C5 ⋊ C2×C8×#67 |
| Sylow | C3 ⋊ C2×D4×#170 |
1232 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, 140356);