Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×C47×#417 ⋊ C2 |
| Sylow | C47 ⋊ #11020 |
1406 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=g,f^2=h,g^2=h,b^a=bd,c^a=ce,d^a=dh,f^a=fh,i^a=i^46,c^b=cf,f^b=fh,g^b=gh,i^b=i^46,d^c=dh,f^c=fh1064 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 76355);