Finite Group DatabasebetaFinite Group Databasebeta| order | 14196 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C7 · Schur multiplier (H2) = C1 |
| direct product | C7×#14523130 |
| derived, Sylow | C132 ⋊ C3×C4×C7 |
| Hall | C7×C13×Dic13 ⋊ C3 |
| Hall | C7×#92788 ⋊ C4 |
| Hall | C7×C132 ⋊ C3×C4 |
| Hall | C13×Dic13 ⋊ C3×C7 |
| Hall | #92788 ⋊ C4×C7 |
96 conjugacy classes of subgroups.
560 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14196, 90);