Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42×C5 · Schur multiplier (H2) = C25×C4 |
| direct product | C42×C5×#67 |
| Fitting | C22×C3×C42×C5 ⋊ C2 |
| Hall | C3×C5 ⋊ C42×D4 |
| Sylow | C3 ⋊ C42×C5×D4 |
1848 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
720 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 45256);