Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C47 ⋊ #2165 |
128 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=e,c^2=d,e^2=f,f^2=g,b^a=bd,c^a=cf,d^a=dg,h^a=h^46,e^b=eg,e^c=eg952 conjugacy classes — view the full character table.
| maximal subgroup of | #26103338, #26103339, #26103341, … |
| maximal normal subgroup of | #26103338, #26103339, #26103341, … |
| maximal quotient of | #26131294, #26131344, #26131612, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 6322);