Finite Group Databasebeta

← Group #254367

Character table — Group #254367

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222244488888888888888161616161616161616161616161616161616163232
order12222222224444422244444444444444444444448888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-111-111-1-11-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1
χ511111111111111111-1-1-111-1-1-11111-11-1-11-1-1-1-11111-1-111-1-11-1
χ611111111111111111-1-1-111-1-1-11111-1-11-1-11-1-1-111-1-111-1-111-11
χ711111111111111111-1-1-111-1-1-1-1-1-1-111-111-111-1-1-1-1-111-1-1111-1
χ811111111111111111-1-1-111-1-1-1-1-1-1-11-111-1111-1-1-111-1-111-1-1-11
χ9111111111111111-1-1111-1-11-1-11111-111-11111-1-1-11111-1-1-1-1-1-1
χ10111111111111111-1-1111-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1111111
χ11111111111111111-1-1111-1-11-1-1-1-1-1-1111111-1-1-111-1-1-1-11111-1-1
χ12111111111111111-1-1111-1-11-1-1-1-1-1-11-1-11-1-1-1-1-1111111-1-1-1-111
χ13111111111111111-1-1-1-1-1-1-1-111111111-111-1-1-11-1-111-1-1-1-111-11
χ14111111111111111-1-1-1-1-1-1-1-11111111-111-11-1-11-1-1-1-11111-1-11-1
χ15111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11-111111-1-11111-1-1-11
χ16111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-111111111-1-1-1-1111-1
χ172222222222-2-2-2-2-22222-2-2-2-2-2-20000000000002000000000000
χ182222222222-2-2-2-2-222-2-22-2-2222000000000000-2000000000000
χ192222222222-2-2-2-2-2-2-222-222-222000000000000-2000000000000
χ202222222222-2-2-2-2-2-2-2-2-22222-2-20000000000002000000000000
χ2122222-22-2-2-2-2-222-200000000002i2i−2i−2i00200-200000002i−2i000000
χ2222222-22-2-2-2-2-222-200000000002i2i−2i−2i00-20020000000−2i2i000000
χ2322222-22-2-2-2-2-222-20000000000−2i−2i2i2i00200-20000000−2i2i000000
χ2422222-22-2-2-2-2-222-20000000000−2i−2i2i2i00-200200000002i−2i000000
χ252222-22-22-2-2-2-22-2200000000002i−2i2i−2i0200-20000002i−2i00000000
χ262222-22-22-2-2-2-22-2200000000002i−2i2i−2i0-2002000000−2i2i00000000
χ272222-22-22-2-2-2-22-220000000000−2i2i−2i2i0200-2000000−2i2i00000000
χ282222-22-22-2-2-2-22-220000000000−2i2i−2i2i0-20020000002i−2i00000000
χ292222-2-2-2-222222-2-2002-2-2002002-2-220000002-20000000000000
χ302222-2-2-2-222222-2-2002-2-200200-222-2000000-220000000000000
χ312222-2-2-2-222222-2-200-22200-2002-2-22000000-220000000000000
χ322222-2-2-2-222222-2-200-22200-200-222-20000002-20000000000000
χ332222-2-2-2-222-2-2-222002-2200-2000000200-2000002-20000000000
χ342222-2-2-2-222-2-2-222002-2200-2000000-200200000-220000000000
χ352222-2-2-2-222-2-2-22200-22-2002000000200-200000-220000000000
χ362222-2-2-2-222-2-2-22200-22-2002000000-2002000002-20000000000
χ3744444-44-4-4-444-4-4400000000000000000000000000000000000
χ384444-44-44-4-444-44-400000000000000000000000000000000000
χ3944-4-444-4-4-44000004-4000000000000000000000000000000000
χ4044-4-444-4-4-4400000-44000000000000000000000000000000000
χ4144-4-44-4-444-400000000000000000000000000000000000022−2200
χ4244-4-44-4-444-4000000000000000000000000000000000000−222200
χ4344-4-4-444-44-4000000000000000000000000000000000022−220000
χ4444-4-4-444-44-40000000000000000000000000000000000−22220000
χ4544-4-4-4-444-4400000000000004i−4i0000000000000000000000000
χ4644-4-4-4-444-440000000000000−4i4i0000000000000000000000000
χ478-88-80000008i−8i00000000000000000000000000000000000000
χ488-88-8000000−8i8i00000000000000000000000000000000000000
χ498-8-8800000000000000004-40000000000000000000000000000
χ508-8-880000000000000000-440000000000000000000000000000

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