Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | #99×Dic15 |
| Hall | C3×C5 ⋊ C4×#99 |
| Sylow | C5 ⋊ Dic3×#99 |
| Sylow | C3 ⋊ Dic5×#99 |
824 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
198 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 21069);