Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C47×#1887 ⋊ C2 |
| Sylow | C47 ⋊ #24412 |
1710 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=f,f^2=h,b^a=be,c^a=cf,d^a=de,e^a=eh,i^a=i^46,c^b=cg,f^b=fh,i^b=i^46,e^c=eh,f^c=fh,i^c=i^46,f^d=fh779 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 207000);