Finite Group DatabasebetaFinite Group Databasebeta| order | 1960 |
| isoclinism | isoclinic class of Dic14 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C5×C7 · Schur multiplier (H2) = C1 |
| direct product | C5×C7×Dic14 |
| unambiguous semidirect product | C7⋊(C5×C7×Q8) |
| Hall | C5×C72 ⋊ Q8 |
| Sylow | C72 ⋊ C5×Q8 |
66 conjugacy classes of subgroups.
| transitive degree | μt(G) = 280 |
595 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1960, 84);