Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of #204 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42×C5 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×C5×#821 |
| Fitting | C2×C3×C4×C5×C8 ⋊ C2 |
| Hall | C3×C5 ⋊ C4×#102 |
| Sylow | C3 ⋊ C4×C5×#102 |
792 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
600 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 21390);