Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C47×#2370 ⋊ C2 |
| Sylow | C47 ⋊ #26719 |
680 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=eh,b^2=eh,c^2=h,d^2=fh,g^2=h,b^a=be,c^a=cf,d^a=de,c^b=cg,g^b=gh,d^c=dh,g^c=gh,i^c=i^461196 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 237578);