Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C47×#2042 ⋊ C2 |
| Sylow | C47 ⋊ #23504 |
1522 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|c^2=e,d^2=h,f^2=h,g^2=h,b^a=be,c^a=cf,f^a=fh,g^a=gh,c^b=cg,f^b=fh,g^b=gh,i^b=i^46,f^c=fh,g^c=gh,i^d=i^46800 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 197255);