Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Sylow | C47 ⋊ #17385 |
988 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=f,b^2=g,c^2=g,d^2=gh,f^2=h,b^a=be,e^a=eg,i^a=i^46,c^b=ch,f^b=fg,i^b=i^461352 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 135586);