Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C47 ⋊ #8221 |
640 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=e,b^2=f,c^2=eg,d^2=g,b^a=bd,d^a=dg,f^a=fgh,i^a=i^46,c^b=cgh,d^b=dh,i^b=i^461904 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 60480);