Finite Group DatabasebetaFinite Group Databasebeta| order | 14196 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C7 · Schur multiplier (H2) = C13 |
| direct product | C3×#10621725⋊C7 |
| unambiguous semidirect product | (C3×#10621725)⋊C7 |
| derived, Sylow | C132 ⋊ C3×C4×C7 |
| Hall | C3×C132⋊C7 ⋊ C4 |
| Hall | C3×#10621725 ⋊ C7 |
| Hall | C132⋊C7 ⋊ C3×C4 |
| Hall | #10621725 ⋊ C3×C7 |
| Hall | C3×C132 ⋊ C4×C7 |
36 conjugacy classes of subgroups.
156 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14196, 82);