Finite Group DatabasebetaFinite Group Databasebeta| order | 1968 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C22 |
| direct product | C3×C22⋊#4223 |
| unambiguous semidirect product | (C2×#4223)⋊(C2×C3) |
| Fitting | C22×C3×C41 ⋊ C4 |
| Hall | C3×C41 ⋊ C22⋊C4 |
| Sylow | C41 ⋊ C3×C22⋊C4 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 492 |
150 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1968, 113);