Finite Group DatabasebetaFinite Group Databasebeta| order | 1968 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | D3×Dic82 |
| unambiguous semidirect product | (D3×C41)⋊Q8 |
| Hall | C3×C41 ⋊ C2×Q8 |
| Sylow | C41 ⋊ D3×Q8 |
| Sylow | C3 ⋊ C2×Dic82 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 984 |
255 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1968, 124);