Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C47×M128 ⋊ C2 |
| Sylow | C47 ⋊ #7514 |
88 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=d,c^2=h,d^2=e,e^2=f,f^2=g,g^2=h,b^a=bc,i^a=i^46,c^b=ch,d^b=dh,i^b=i^461952 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 57382);