Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | C47×#3484 ⋊ C2 |
| Sylow | C47 ⋊ #23903 |
2096 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|b^a=be,c^a=cf,d^a=deh,i^a=i^46,c^b=cg,f^b=fh,e^c=eh,f^d=fh1052 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 201176);