Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25×C4 |
No aliases for this group.
| Fitting | C2×C47×B(4,𝔽2) ⋊ C2 |
| Sylow | C47 ⋊ #25773 |
1770 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|b^2=e,c^2=f,d^2=eh,b^a=be,c^a=cf,d^a=de,g^a=gh,c^b=cg,f^b=fh,i^b=i^46,g^c=gh,i^d=i^46779 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 224861);