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 ⋊ #8129 |
612 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=e,b^2=f,e^2=g,f^2=h,b^a=bd,c^a=cg,d^a=dg,f^a=fh,i^a=i^46,d^b=dh,e^b=eg,i^b=i^461340 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 59987);