Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C47 ⋊ #12678 |
292 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=e,b^2=f,c^2=de,d^2=gh,e^2=g,f^2=h,g^2=h,b^a=bd,c^a=cg,d^a=dh,i^a=i^46,d^b=dg,e^b=egh,g^b=gh,i^b=i^46,d^c=dh,e^c=eh1058 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 84999);