Finite Group DatabasebetaFinite Group Databasebeta| order | 14272 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #99×C223 ⋊ C2 |
| Sylow | C223 ⋊ #353 |
86 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1784 |
Polycyclic presentation:
2^6,223|a^2=d,c^2=f,b^a=bc,c^a=ce,e^a=ef,c^b=cf,d^b=def,g^b=g^222,d^c=df1234 conjugacy classes. The character table is too large to display.
| maximal quotient of | #43252724, #43252738, #43252789, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14272, 341);