Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C47×#520 ⋊ C2 |
| Sylow | C47 ⋊ #3125 |
384 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=g,b^2=g,d^2=eg,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^46,d^b=dg,f^c=fg814 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#3125, C2×#20253665, #27084647, … |
| maximal normal subgroup of | D47×#3125, C2×#20253665, #27084647, … |
| maximal quotient of | #26216388, #26219369, #26219384, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 14787);