Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C47 ⋊ #11376 |
654 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=g,b^2=de,c^2=de,d^2=h,e^2=h,f^2=h,b^a=bd,c^a=ce,i^a=i^46,c^b=cf,d^b=dh,e^b=eh,f^b=fh,g^b=gh,d^c=dh,e^c=eh,f^c=fh,g^c=gh,i^c=i^461352 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 78455);