Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C4×SD32×C47 ⋊ C2 |
| Sylow | C47 ⋊ #33455 |
660 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=f,b^2=h,c^2=f,e^2=gh,g^2=h,b^a=be,e^a=eg,g^a=gh,e^b=eg,g^b=gh,d^c=dh,i^d=i^461076 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 322914);