Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C4×#107×C47 ⋊ C2 |
| Sylow | C47 ⋊ #20453 |
1126 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=f,b^2=g,c^2=ef,e^2=h,f^2=h,b^a=be,e^b=eh,f^b=fh,d^c=dh,i^c=i^46,i^d=i^461376 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 167642);