Finite Group DatabasebetaFinite Group Databasebeta| order | 14196 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C13 · Schur multiplier (H2) = C1 |
| direct product | C13×ΓL(1,𝔽8)⋊Dic13 |
| unambiguous semidirect product | ΓL(1,𝔽8)⋊(C13×Dic13) |
| derived | C7×C13 ⋊ C3×C4×C13 |
| Hall | C13×Dic91 ⋊ C3 |
| Hall | C132×ΓL(1,𝔽8) ⋊ C4 |
| Hall | C7×C132 ⋊ C3×C4 |
| Sylow | C132 ⋊ ΓL(1,𝔽8)⋊C4 |
| Hall | ΓL(1,𝔽8) ⋊ C13×Dic13 |
| Sylow | C7 ⋊ C3×C13×Dic13 |
96 conjugacy classes of subgroups.
962 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14196, 100);