Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of #213 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4×C5 · Schur multiplier (H2) = C25 |
| direct product | C4×C5×#950 |
| Fitting | C3×C4×C5×#41 ⋊ C2 |
| Hall | C3×C5 ⋊ C4×#135 |
| Sylow | C3 ⋊ C4×C5×#135 |
1000 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
480 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 141907);