Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3 · Schur multiplier (H2) = C23 |
| direct product | C3×#10598993 |
| Fitting | C3×C5×D4⋊C8 ⋊ C2 |
| Hall | C3×C5 ⋊ #1625 |
| Sylow | C5 ⋊ C3×#1625 |
512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
246 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 14799);