Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of #826 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C5 · Schur multiplier (H2) = C22 |
| direct product | C4×C5×#829 |
| Hall | C3×C5 ⋊ C4×Q32 |
| Sylow | C3 ⋊ C4×C5×Q32 |
300 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1920 |
360 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 41115);