Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4 |
No aliases for this group.
| Fitting | C47×#2369 ⋊ C2 |
| Sylow | C47 ⋊ #34155 |
2834 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=h,b^2=fh,c^2=f,d^2=f,e^2=fg,b^a=bf,c^a=cg,d^b=df,i^b=i^46,i^c=i^46,i^e=i^461250 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 329348);