Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C47×#2194 ⋊ C2 |
| Sylow | C47 ⋊ #33539 |
1130 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|e^2=gh,f^2=h,g^2=h,b^a=be,c^a=cf,d^a=dh,e^a=eg,f^a=fh,g^a=gh,i^a=i^46,e^b=eg,g^b=gh,f^c=fh,i^d=i^46569 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 323535);