Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C2×C47×#400 ⋊ C2 |
| Sylow | C47 ⋊ #9921 |
672 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|b^2=gh,c^2=g,d^2=g,b^a=bd,c^a=ce,d^a=dg,f^a=fh,i^a=i^46,c^b=cf,d^b=dg,d^c=dh1052 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 69813);