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×#1899 ⋊ C2 |
| Sylow | C47 ⋊ #21877 |
1098 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=g,b^2=h,d^2=e,b^a=be,c^a=cf,d^a=de,f^a=fh,c^b=ce,d^b=dh,g^c=gh,i^d=i^46782 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 179390);