Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×C47×#328 ⋊ C2 |
| Sylow | C47 ⋊ #8405 |
1020 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=f,b^2=h,d^2=h,f^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=eg,d^b=dh,e^b=eg,f^b=fgh,d^c=dg,f^c=fg,i^c=i^46920 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 61378);