Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×C47×#344 ⋊ C2 |
| Sylow | C47 ⋊ #10764 |
1194 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=f,b^2=g,g^2=h,b^a=bd,c^a=ce,d^a=dh,e^a=eh,f^b=fh,f^c=fh,i^c=i^461076 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 74999);