Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26×C4 |
No aliases for this group.
| Fitting | C2×C47×#393 ⋊ C2 |
| Sylow | C47 ⋊ #15144 |
2214 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=e,b^2=e,c^2=ef,d^2=h,b^a=be,c^a=cf,d^a=dh,c^b=cg,i^d=i^461076 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 106283);