Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C24 |
| direct product | C2×#11746328 |
| Fitting | C22×C3×C5×C16 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×C22⋊C16 |
| Sylow | C5 ⋊ C2×(C2×D3)⋊C16 |
| Sylow | C3 ⋊ C2×#64727 |
544 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
528 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 38492);