Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C2×C47×D4⋊C8 ⋊ C2 |
| Sylow | C47 ⋊ #17873 |
700 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=f,c^2=f,e^2=g,f^2=h,b^a=be,c^a=ch,e^a=eg,e^b=eg,d^c=dg,i^c=i^461352 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 139191);