Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C47×#1580 ⋊ C2 |
| Sylow | C47 ⋊ C8×AGL(1,ℤ/8) |
802 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=f,c^2=f,e^2=g,f^2=h,b^a=be,d^a=dg,e^a=eg,i^a=i^46,e^b=eg,i^c=i^46,i^d=i^461100 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 138985);