Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C47×#418 ⋊ C2 |
| Sylow | C47 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=f,c^2=f,e^2=g,b^a=be,d^a=dg,e^a=eg,e^b=eg,h^c=h^46550 conjugacy classes — view the full character table.
| maximal subgroup of | #26222155, #26222157, #26222177, … |
| maximal normal subgroup of | #26222155, #26222157, #26222177, … |
| maximal quotient of | #26185688, #26185857, #26185888, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13314);