Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of #700 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C42 · Schur multiplier (H2) = C23×C42 |
| direct product | C3×C4×#4130 |
| Fitting | C2×C3×C42×C5 ⋊ C4 |
| Hall | C3×C5 ⋊ C4×#117 |
| Sylow | C5 ⋊ C3×C4×#117 |
1504 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
336 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 45196);