Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C47 ⋊ #1281 |
152 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=d,b^2=e,d^2=g,e^2=f,b^a=bc,c^a=cf,h^a=h^46,d^b=df964 conjugacy classes — view the full character table.
| maximal subgroup of | #26103036, #26103037, #26103081, … |
| maximal normal subgroup of | #26103036, #26103037, #26103081, … |
| maximal quotient of | #26102808, #26102812, #26102814, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 2355);