Finite Group DatabasebetaFinite Group Databasebeta| order | 14196 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| derived, Hall | C7×C169 ⋊ C3×C4 |
| Hall | Dic1183 ⋊ C3 |
| Hall | #16813064 ⋊ C4 |
| Sylow | C169 ⋊ ΓL(1,𝔽8)⋊C4 |
| Sylow | C7 ⋊ Dic169⋊C3 |
36 conjugacy classes of subgroups.
Polycyclic presentation:
2,3,7,13,2,13|a^2=e,d^13=f^12,c^a=c^6,d^a=d^12f,f^a=f^12,c^b=c^4,d^b=d^3f^2,f^b=f^3406 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14196, 13);