Finite Group DatabasebetaFinite Group Databasebeta| order | 14272 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #131×C223 ⋊ C2 |
| Sylow | C223 ⋊ #578 |
248 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7136 |
Polycyclic presentation:
2^6,223|a^2=f,b^2=f,e^2=f,b^a=be,e^a=ef,g^a=g^222,e^b=ef,g^b=g^222,d^c=df2242 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14272, 1366);