Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C4 · Schur multiplier (H2) = C26 |
| direct product | C3×#10617369 |
| Fitting | C3×C5×#127 ⋊ C4 |
| Hall | C3×C5 ⋊ #2366 |
| Sylow | C5 ⋊ C3×#2366 |
1664 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
192 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 55158);