Finite Group Databasebeta

← Group #248813

Character table — Group #248813

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244444448888888881616161616161616161616161616161616161616163232
order12222244222244444444444422244444444444444888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111-1-11-1-1111111-111-11-1-11-1-1-1-1-1-1-1-1-1-111
χ61111111111111111-1-11-1-11111-1-1-1-1-1-11-1-11-1-111111111-1-1
χ71111111111111111-1-11-1-11-1-1-111-111-1-111-1111111-1-1-1-1-1-1
χ81111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1111111
χ911111111-1-111111-111-111-111-11-1-11-1-1-1-1-111111-1-111-1-11-1
χ1011111111-1-111111-111-111-111-1-11-1-11-1-1-1-1111-1-111-1-111-11
χ1111111111-1-111111-111-111-1-1-111-1-11-1-1111-1-1-1-1-11111-1-1-11
χ1211111111-1-111111-111-111-1-1-11-11-1-11-1111-1-1-111-1-1-1-1111-1
χ1311111111-1-111111-1-1-1-1-1-1-111-11-111-11-1111-1-1-1-111-1-1111-1
χ1411111111-1-111111-1-1-1-1-1-1-111-1-111-111-1111-1-111-1-111-1-1-11
χ1511111111-1-111111-1-1-1-1-1-1-1-1-111-111-111-1-1-11111-1-1-1-111-11
χ1611111111-1-111111-1-1-1-1-1-1-1-1-11-111-1111-1-1-111-1-11111-1-11-1
χ172222222222-2-22-2-2-222-2-2-2200000-20020000000000000000
χ182222222222-2-22-2-2-2-2-2-222200000200-20000000000000000
χ1922222222-2-2-2-22-2-22222-2-2-200000200-20000000000000000
χ2022222222-2-2-2-22-2-22-2-2222-200000-20020000000000000000
χ21222222-2-22222-2-2-2-200200-200000000002-202-20000000000
χ22222222-2-22222-2-2-2-200200-20000000000-220-220000000000
χ23222222-2-222-2-2-222200-200-2222000000-200-2000000000000
χ24222222-2-222-2-2-222200-200-2-2-2-20000002002000000000000
χ25222222-2-2-2-222-2-2-2200-200200000000002-20-220000000000
χ26222222-2-2-2-222-2-2-2200-20020000000000-2202-20000000000
χ27222222-2-2-2-2-2-2-222-200200222-2000000200-2000000000000
χ28222222-2-2-2-2-2-2-222-2002002-2-22000000-2002000000000000
χ292222-2-222002-2-22-202-202-200000200-200000000000002-200
χ302222-2-222002-2-22-202-202-200000-20020000000000000-2200
χ312222-2-222002-2-22-20-220-2200000200-20000000000000-2200
χ322222-2-222002-2-22-20-220-2200000-200200000000000002-200
χ332222-2-22200-22-2-2202-20-220000200-20000000000002-20000
χ342222-2-22200-22-2-2202-20-220000-2002000000000000-220000
χ352222-2-22200-22-2-220-2202-20000200-2000000000000-220000
χ362222-2-22200-22-2-220-2202-20000-20020000000000002-20000
χ374444-4-4-4-4004-44-4400000000000000000000000000000000
χ384444-4-4-4-400-4444-400000000000000000000000000000000
χ394-44-44-4004-40000000000000000000000000002i−2i2i−2i000000
χ404-44-44-4004-4000000000000000000000000000−2i2i−2i2i000000
χ414-44-44-400-440000000000000000000000000002i−2i−2i2i000000
χ424-44-44-400-44000000000000000000000000000−2i2i2i−2i000000
χ4388-8-80000000000000000004-400000000000000000000000
χ4488-8-8000000000000000000-4400000000000000000000000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-88008-8000000000000000000000000000000000000000
χ478-8-8800-88000000000000000000000000000000000000000

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