Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
No aliases for this group.
| Fitting | C47×#2873 ⋊ C2 |
| Sylow | C47 ⋊ #21250 |
1434 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=g,b^2=egh,c^2=f,f^2=h,g^2=h,b^a=be,c^a=cf,e^a=eh,f^a=fh,i^a=i^46,e^b=eh,g^b=gh,d^c=dh1622 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 173592);