Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C47 ⋊ #8458 |
766 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=f,c^2=g,d^2=h,f^2=g,b^a=bd,c^a=ce,d^a=dg,i^a=i^46,d^b=dh,e^b=eh,f^b=fgh,d^c=dh1052 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 61720);