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×#424 ⋊ C2 |
| Sylow | C47 ⋊ #23540 |
1682 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|c^2=e,e^2=h,f^2=h,g^2=h,b^a=be,c^a=cf,e^a=eh,f^a=fh,g^a=gh,i^a=i^46,c^b=cg,e^b=eh,f^b=fh,g^b=gh,i^b=i^46,d^c=dh1340 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 197525);