Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C47×#1466 ⋊ C2 |
| Sylow | C47 ⋊ #17403 |
1240 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=f,c^2=g,d^2=gh,f^2=h,b^a=be,d^a=dh,e^a=eg,c^b=ch,f^b=fg,i^c=i^46788 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 135695);