Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of #6715 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×C4×#6717 |
| Fitting | C2×C3×C4×C5×Q8 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×C4×SD16 |
| Sylow | C5 ⋊ C2×C4×#215 |
| Sylow | C3 ⋊ C2×C4×#688 |
1104 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
336 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 141752);