Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C47×#1823 ⋊ C2 |
| Sylow | C47 ⋊ #27030 |
812 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|c^2=e,d^2=ef,g^2=h,b^a=be,c^a=cf,d^a=de,c^b=cg,g^b=gh,i^b=i^46,g^c=gh,i^c=i^46,i^d=i^46926 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 242224);