Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C47 ⋊ #1400 |
74 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=d,d^2=e,e^2=f,f^2=g,b^a=bc,c^a=cg,h^a=h^46,d^b=dg964 conjugacy classes — view the full character table.
| maximal subgroup of | #26103620, #26103621, #26103622, … |
| maximal normal subgroup of | #26103620, #26103621, #26103622, … |
| maximal quotient of | #26103617, #26103677, #26103719, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 2650);