Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C47×#1590 ⋊ C2 |
| Sylow | C47 ⋊ #18067 |
654 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=f,b^2=g,c^2=f,e^2=g,f^2=h,b^a=be,e^a=eg,i^a=i^46,d^b=dh,e^b=eg,d^c=dh,i^c=i^46,i^d=i^461082 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 141337);