Finite Group Databasebeta

← Group #318584

Character table — Group #318584

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222222244444488888888881616161616161616161616161616161632323232
order12222244444444448888888888888822444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1111-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-11-1-1-1111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-111-1-1-1-1-1-1111-1-111111-1-1-1-1-1-111-1-1
χ611111111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-111-1-11111-1-111
χ711111111111111111111-1-111-1-1-1-1-1-1-11-111111-1-111-1-1-1-1-1-111
χ811111111111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1
χ91111111111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11-11-1
χ101111111111111111-1-1-1-111-1-111-1-1-1-11-1111-111-1-1-1-1-1-111-11-11
χ111111111111111111-1-1-1-111-1-111-1-1-1-1-11-1-1-11-1-1111111-1-1-11-11
χ121111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1111-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1-1-111-1-1111-1-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-111111-11-1-1-111-1-11111-1-1-111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-11111-11-1111-1-111-1-1-1-111-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-11111-1-111-1-11-1-11
χ1722222222-22-2-22-2-2-200002200-2-20000000000002i−2i2i−2i00000000
χ1822222222-22-2-22-2-2-200002200-2-2000000000000−2i2i−2i2i00000000
χ1922222222-22-2-22-2-2-20000-2-200220000000000002i−2i−2i2i00000000
χ2022222222-22-2-22-2-2-20000-2-20022000000000000−2i2i2i−2i00000000
χ21222222-2-22-222-22-2-2222200-2-200000002000-22-2000000000000
χ22222222-2-22-222-22-2-2222200-2-20000000-20002-22000000000000
χ23222222-2-22-222-22-2-2-2-2-2-2002200000002000-2-22000000000000
χ24222222-2-22-222-22-2-2-2-2-2-200220000000-200022-2000000000000
χ252222-2-222-2-222-2-22-222-2-2002-20000000000000000002i−2i2i−2i0000
χ262222-2-222-2-222-2-22-222-2-2002-2000000000000000000−2i2i−2i2i0000
χ272222-2-222-2-222-2-22-2-2-22200-220000000000000000002i−2i−2i2i0000
χ282222-2-222-2-222-2-22-2-2-22200-22000000000000000000−2i2i2i−2i0000
χ292222-2-2-2-222-2-2222-200002-2002-2000020-22-2000000000000000
χ302222-2-2-2-222-2-2222-200002-2002-20000-202-22000000000000000
χ312222-2-2-2-222-2-2222-20000-2200-22000020-2-22000000000000000
χ322222-2-2-2-222-2-2222-20000-2200-220000-2022-2000000000000000
χ332222-2-2-2-2-22222-2-2222-2-22-2-22-2222-2-200000000000000000000
χ342222-2-2-2-2-22222-2-2222-2-2-22-222-2-2-22200000000000000000000
χ352222-2-2-2-2-22222-2-22-2-2222-22-2-22-2-22200000000000000000000
χ362222-2-2-2-2-22222-2-22-2-222-222-22-222-2-200000000000000000000
χ37444444-4-4-4-4-4-4-4-4440000000000000000000000000000000000
χ384444-4-4444-4-4-4-44-440000000000000000000000000000000000
χ3944-4-44-400404-40-400000000000022−2222−2200000000000000000000
χ4044-4-44-400404-40-4000000000000−2222−222200000000000000000000
χ4144-4-44-400-40-4404004-44-4000000000000000000000000000000
χ4244-4-44-400-40-440400-44-44000000000000000000000000000000
χ4344-4-4-440040-440-4004-4-44000000000000000000000000000000
χ4444-4-4-440040-440-400-444-4000000000000000000000000000000
χ4544-4-4-4400-404-40400000000000022−22−222200000000000000000000
χ4644-4-4-4400-404-404000000000000−222222−2200000000000000000000
χ478-88-800000800-80000000000000000000000000000000000000
χ488-88-800000-80080000000000000000000000000000000000000
χ498-8-88008i−8i000000000000000000000000000000000000000000
χ508-8-8800−8i8i000000000000000000000000000000000000000000

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