Finite Group Databasebeta

← Group #487805

Character table — Group #487805

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11112244444488888888161616161616161616161616161616161616161616163232
order12222222224424444444224444444444444444888888
χ111111111111111111111111111111111111111111111
χ2111111111111111111111-11-11-111-111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-111-1111-11-1-1111-1-1-11111-1-1-1-1-1-1
χ41111111111111111-1-111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1111111
χ511111111111111-1-1111111-11-111-11-1-11-1-1-1-1-1-11111-1-1
χ611111111111111-1-111111-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-111
χ711111111111111-1-1-1-111-11-1111-111-1-1-111-1-1-1-1-1-1-1-111
χ811111111111111-1-1-1-111-1-1-1-11-1-11-1-1-1-11111111111-1-1
χ91111111-1-11-1-1-1-111111111-11-1-1-11-11-1-11-111-1-111-1-11-1
χ101111111-1-11-1-1-1-11111111-1-1-1-11-1111-1-11-1-1-111-1-111-11
χ111111111-1-11-1-1-1-111-1-111-11-111-11-1-11-11-1111-1-1-1-111-11
χ121111111-1-11-1-1-1-111-1-111-1-1-1-1111-111-11-11-1-11111-1-11-1
χ131111111-1-11-1-1-1-1-1-1111111111-1-1-1-1-11-1-11-1-11111-1-1-11
χ141111111-1-11-1-1-1-1-1-111111-11-111-1-11-11-1-1111-1-1-1-1111-1
χ151111111-1-11-1-1-1-1-1-1-1-111-1111-1-111-1-1111-1-1-111-1-1111-1
χ161111111-1-11-1-1-1-1-1-1-1-111-1-11-1-11111-1111-111-1-111-1-1-11
χ172222222222-2-22-22200-2-2002000000-2-20000000000000
χ182222222222-2-22-2-2-200-2-200-2000000220000000000000
χ192222222-2-2222-222200-2-200-2000000-220000000000000
χ202222222-2-2222-22-2-200-2-20020000002-20000000000000
χ21222222-222-222-2-200222-2-200000-200002000000000000
χ22222222-222-222-2-200-2-22-220000020000-2000000000000
χ23222222-222-2-2-2-220000-22000020020000-2-20000000000
χ24222222-222-2-2-2-220000-220000-200-20000220000000000
χ25222222-2-2-2-2222-20000-220000200-200002-20000000000
χ26222222-2-2-2-2222-20000-220000-20020000-220000000000
χ27222222-2-2-2-2-2-22200222-2-20000020000-2000000000000
χ28222222-2-2-2-2-2-22200-2-22-2200000-200002000000000000
χ294444-4-404-400000000000020-20200-2000000000000000
χ304444-4-404-4000000000000-2020-2002000000000000000
χ314444-4-40-4400000000000020-20-2002000000000000000
χ324444-4-40-44000000000000-2020200-2000000000000000
χ3344-4-44-4400-4000000000000000000000000000022−220000
χ3444-4-44-4400-40000000000000000000000000000−22220000
χ3544-4-44-4-40040000000000000000000000000000002i2−2i200
χ3644-4-44-4-4004000000000000000000000000000000−2i22i200
χ3744-4-4-4400004i−4i00000000000000000000002i−2i2-2000000
χ3844-4-4-4400004i−4i0000000000000000000000−2i2i-22000000
χ3944-4-4-440000−4i4i00000000000000000000002i−2i-22000000
χ4044-4-4-440000−4i4i0000000000000000000000−2i2i2-2000000
χ418-88-800000000004i−4i0000000000000000000000000000
χ428-88-80000000000−4i4i0000000000000000000000000000
χ438-8-880000000000004-400000000000000000000000000
χ448-8-88000000000000-4400000000000000000000000000

Here i is the imaginary unit (i² = −1).