Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4×C5 · Schur multiplier (H2) = C210 |
| direct product | C22×C4×C5×#67 |
| Fitting | C24×C3×C4×C5 ⋊ C2 |
| Hall | C3×C5 ⋊ C22×C4×D4 |
| Sylow | C3 ⋊ C22×C4×C5×D4 |
5056 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, 204476);