Finite Group DatabasebetaFinite Group Databasebeta| order | 14196 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C3×#17990042 |
| derived, Hall | C132⋊C7 ⋊ C3×C4 |
| Hall | C3×C132⋊C7 ⋊ C4 |
| Hall | C3×C132 ⋊ Dic7 |
| Sylow | C132 ⋊ C3×Dic7 |
36 conjugacy classes of subgroups.
210 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14196, 81);