Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C47 ⋊ #8627 |
456 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=f,b^2=dg,d^2=g,e^2=g,b^a=bd,c^a=ce,d^a=dg,e^a=eh,i^b=i^46,e^c=eg,f^c=fgh638 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 62543);