Finite Group Databasebeta

← Group #200484

Character table — Group #200484

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222244444444444444444444444444488881616161616161111222222224444444444444444444444444448888161616161616
order12222244444422224444444888888888888888844444488882222224444442222444444488888888888888884444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1111111111111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ6111111111111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ7111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ8111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ9111111-1-1-1-1-1-111-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-11-1i−ii−i111111-1-1-1-1-1-111-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-11-1i−ii−i
χ10111111-1-1-1-1-1-111-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111-11−ii−ii111111-1-1-1-1-1-111-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111-11−ii−ii
χ11111111-1-1-1-1-1-111-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-11-1−ii−ii111111-1-1-1-1-1-111-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-11-1−ii−ii
χ12111111-1-1-1-1-1-111-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111-11i−ii−i111111-1-1-1-1-1-111-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111-11i−ii−i
χ13111111-1-1-1-1-1-1-1-111-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-11i−i−ii111111-1-1-1-1-1-1-1-111-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-11i−i−ii
χ14111111-1-1-1-1-1-1-1-111-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1111-1−iii−i111111-1-1-1-1-1-1-1-111-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1111-1−iii−i
χ15111111-1-1-1-1-1-1-1-111-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-11−iii−i111111-1-1-1-1-1-1-1-111-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-11−iii−i
χ16111111-1-1-1-1-1-1-1-111-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1i−i−ii111111-1-1-1-1-1-1-1-111-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1i−i−ii
χ172222222222-2-22222-2-2-2-2-2-2-2000000000000000000000000002222222222-2-22222-2-2-2-2-2-2-200000000000000000000000000
χ182222222222-2-2-2-2-2-2-22222-2-2000000000000000000000000002222222222-2-2-2-2-2-2-22222-2-200000000000000000000000000
χ19222222-2-2-2-22222-2-22-2-222-2-200000000000000000000000000222222-2-2-2-22222-2-22-2-222-2-200000000000000000000000000
χ20222222-2-2-2-222-2-222222-2-2-2-200000000000000000000000000222222-2-2-2-222-2-222222-2-2-2-200000000000000000000000000
χ212222-2-22-22-2220000-200002-20000000022-2-222-2-200000000002222-2-22-22-2220000-200002-20000000022-2-222-2-20000000000
χ222222-2-22-22-2220000-200002-200000000-2-222-2-22200000000002222-2-22-22-2220000-200002-200000000-2-222-2-2220000000000
χ232222-2-22-22-2-2-2000020000-222i2i−2i−2i2i2i−2i−2i0000000000000000002222-2-22-22-2-2-2000020000-222i2i−2i−2i2i2i−2i−2i000000000000000000
χ242222-2-22-22-2-2-2000020000-22−2i−2i2i2i−2i−2i2i2i0000000000000000002222-2-22-22-2-2-2000020000-22−2i−2i2i2i−2i−2i2i2i000000000000000000
χ252222-2-2-22-22220000-20000-2222-2-2-2-2220000000000000000002222-2-2-22-22220000-20000-2222-2-2-2-222000000000000000000
χ262222-2-2-22-22220000-20000-22-2-22222-2-20000000000000000002222-2-2-22-22220000-20000-22-2-22222-2-2000000000000000000
χ272222-2-2-22-22-2-20000200002-2000000002i2i−2i−2i−2i−2i2i2i00000000002222-2-2-22-22-2-20000200002-2000000002i2i−2i−2i−2i−2i2i2i0000000000
χ282222-2-2-22-22-2-20000200002-200000000−2i−2i2i2i2i2i−2i−2i00000000002222-2-2-22-22-2-20000200002-200000000−2i−2i2i2i2i2i−2i−2i0000000000
χ2922-2-22-222-2-2002-22-200000002−22−22−22−22−22−22−22−2000000000022-2-22-222-2-2002-22-200000002−22−22−22−22−22−22−22−20000000000
χ3022-2-22-222-2-2002-22-20000000−22−22−22−22−22−22−22−22000000000022-2-22-222-2-2002-22-20000000−22−22−22−22−22−22−22−220000000000
χ3122-2-22-222-2-200-22-2200000002−22−22−22−2−22−22−22−22000000000022-2-22-222-2-200-22-2200000002−22−22−22−2−22−22−22−220000000000
χ3222-2-22-222-2-200-22-220000000−22−22−22−222−22−22−22−2000000000022-2-22-222-2-200-22-220000000−22−22−22−222−22−22−22−20000000000
χ3322-2-22-2-2-222002-2-220000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000022-2-22-2-2-222002-2-220000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000
χ3422-2-22-2-2-222002-2-220000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000022-2-22-2-2-222002-2-220000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000
χ3522-2-22-2-2-22200-222-20000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000000022-2-22-2-2-22200-222-20000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000
χ3622-2-22-2-2-22200-222-20000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000000022-2-22-2-2-22200-222-20000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000
χ3722-2-2-222-2-2200000002i−2i2i−2i00i2−i2−i2i2i2−i2−i2i22−2−222−2−22000000000022-2-2-222-2-2200000002i−2i2i−2i00i2−i2−i2i2i2−i2−i2i22−2−222−2−220000000000
χ3822-2-2-222-2-2200000002i−2i2i−2i00−i2i2i2−i2−i2i2i2−i2−222−2−222−2000000000022-2-2-222-2-2200000002i−2i2i−2i00−i2i2i2−i2−i2i2i2−i2−222−2−222−20000000000
χ3922-2-2-222-2-220000000−2i2i−2i2i00i2−i2−i2i2i2−i2−i2i2−222−2−222−2000000000022-2-2-222-2-220000000−2i2i−2i2i00i2−i2−i2i2i2−i2−i2i2−222−2−222−20000000000
χ4022-2-2-222-2-220000000−2i2i−2i2i00−i2i2i2−i2−i2i2i2−i22−2−222−2−22000000000022-2-2-222-2-220000000−2i2i−2i2i00−i2i2i2−i2−i2i2i2−i22−2−222−2−220000000000
χ4122-2-2-22-222-200000002i−2i−2i2i002−2−22−222−2−i2i2i2−i2i2−i2−i2i2000000000022-2-2-22-222-200000002i−2i−2i2i002−2−22−222−2−i2i2i2−i2i2−i2−i2i20000000000
χ4222-2-2-22-222-200000002i−2i−2i2i00−222−22−2−22i2−i2−i2i2−i2i2i2−i2000000000022-2-2-22-222-200000002i−2i−2i2i00−222−22−2−22i2−i2−i2i2−i2i2i2−i20000000000
χ4322-2-2-22-222-20000000−2i2i2i−2i002−2−22−222−2i2−i2−i2i2−i2i2i2−i2000000000022-2-2-22-222-20000000−2i2i2i−2i002−2−22−222−2i2−i2−i2i2−i2i2i2−i20000000000
χ4422-2-2-22-222-20000000−2i2i2i−2i00−222−22−2−22−i2i2i2−i2i2−i2−i2i2000000000022-2-2-22-222-20000000−2i2i2i−2i00−222−22−2−22−i2i2i2−i2i2−i2−i2i20000000000
χ454-44-40000004-40000000000000000000000000002i−2i2i−2i0000004-44-40000004-40000000000000000000000000002i−2i2i−2i000000
χ464-44-40000004-4000000000000000000000000000−2i2i−2i2i0000004-44-40000004-4000000000000000000000000000−2i2i−2i2i000000
χ474-44-4000000-440000000000000000000000000002i−2i−2i2i0000004-44-4000000-440000000000000000000000000002i−2i−2i2i000000
χ484-44-4000000-44000000000000000000000000000−2i2i2i−2i0000004-44-4000000-44000000000000000000000000000−2i2i2i−2i000000
χ498-8-880000000000000000000000000000000000000000000008-8-88000000000000000000000000000000000000000000000
χ501111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ5211111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111
χ5311111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1
χ54111111111111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111
χ55111111111111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1
χ56111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ57111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ58111111-1-1-1-1-1-111-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-11-1i−ii−i-1-1-1-1-1-1111111-1-1111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-11−ii−ii
χ59111111-1-1-1-1-1-111-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111-11−ii−ii-1-1-1-1-1-1111111-1-1111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11-1i−ii−i
χ60111111-1-1-1-1-1-111-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-11-1−ii−ii-1-1-1-1-1-1111111-1-1111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-11i−ii−i
χ61111111-1-1-1-1-1-111-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111-11i−ii−i-1-1-1-1-1-1111111-1-1111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11-1−ii−ii
χ62111111-1-1-1-1-1-1-1-111-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-11i−i−ii-1-1-1-1-1-111111111-1-1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1−iii−i
χ63111111-1-1-1-1-1-1-1-111-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1111-1−iii−i-1-1-1-1-1-111111111-1-1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-11i−i−ii
χ64111111-1-1-1-1-1-1-1-111-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-11−iii−i-1-1-1-1-1-111111111-1-1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1111-1i−i−ii
χ65111111-1-1-1-1-1-1-1-111-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1i−i−ii-1-1-1-1-1-111111111-1-1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-11−iii−i
χ662222222222-2-22222-2-2-2-2-2-2-200000000000000000000000000-2-2-2-2-2-2-2-2-2-222-2-2-2-2222222200000000000000000000000000
χ672222222222-2-2-2-2-2-2-22222-2-200000000000000000000000000-2-2-2-2-2-2-2-2-2-22222222-2-2-2-22200000000000000000000000000
χ68222222-2-2-2-22222-2-22-2-222-2-200000000000000000000000000-2-2-2-2-2-22222-2-2-2-222-222-2-22200000000000000000000000000
χ69222222-2-2-2-222-2-222222-2-2-2-200000000000000000000000000-2-2-2-2-2-22222-2-222-2-2-2-2-2222200000000000000000000000000
χ702222-2-22-22-2220000-200002-20000000022-2-222-2-20000000000-2-2-2-222-22-22-2-2000020000-2200000000-2-222-2-2220000000000
χ712222-2-22-22-2220000-200002-200000000-2-222-2-2220000000000-2-2-2-222-22-22-2-2000020000-220000000022-2-222-2-20000000000
χ722222-2-22-22-2-2-2000020000-222i2i−2i−2i2i2i−2i−2i000000000000000000-2-2-2-222-22-22220000-200002-2−2i−2i2i2i−2i−2i2i2i000000000000000000
χ732222-2-22-22-2-2-2000020000-22−2i−2i2i2i−2i−2i2i2i000000000000000000-2-2-2-222-22-22220000-200002-22i2i−2i−2i2i2i−2i−2i000000000000000000
χ742222-2-2-22-22220000-20000-2222-2-2-2-222000000000000000000-2-2-2-2222-22-2-2-20000200002-2-2-22222-2-2000000000000000000
χ752222-2-2-22-22220000-20000-22-2-22222-2-2000000000000000000-2-2-2-2222-22-2-2-20000200002-222-2-2-2-222000000000000000000
χ762222-2-2-22-22-2-20000200002-2000000002i2i−2i−2i−2i−2i2i2i0000000000-2-2-2-2222-22-2220000-20000-2200000000−2i−2i2i2i2i2i−2i−2i0000000000
χ772222-2-2-22-22-2-20000200002-200000000−2i−2i2i2i2i2i−2i−2i0000000000-2-2-2-2222-22-2220000-20000-22000000002i2i−2i−2i−2i−2i2i2i0000000000
χ7822-2-22-222-2-2002-22-200000002−22−22−22−22−22−22−22−20000000000-2-222-22-2-22200-22-220000000−22−22−22−22−22−22−22−220000000000
χ7922-2-22-222-2-2002-22-20000000−22−22−22−22−22−22−22−220000000000-2-222-22-2-22200-22-2200000002−22−22−22−22−22−22−22−20000000000
χ8022-2-22-222-2-200-22-2200000002−22−22−22−2−22−22−22−220000000000-2-222-22-2-222002-22-20000000−22−22−22−222−22−22−22−20000000000
χ8122-2-22-222-2-200-22-220000000−22−22−22−222−22−22−22−20000000000-2-222-22-2-222002-22-200000002−22−22−22−2−22−22−22−220000000000
χ8222-2-22-2-2-222002-2-220000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000-2-222-2222-2-200-222-20000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000
χ8322-2-22-2-2-222002-2-220000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000-2-222-2222-2-200-222-20000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000
χ8422-2-22-2-2-22200-222-20000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000-2-222-2222-2-2002-2-220000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000
χ8522-2-22-2-2-22200-222-20000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000-2-222-2222-2-2002-2-220000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000
χ8622-2-2-222-2-2200000002i−2i2i−2i00i2−i2−i2i2i2−i2−i2i22−2−222−2−220000000000-2-2222-2-222-20000000−2i2i−2i2i00−i2i2i2−i2−i2i2i2−i2−222−2−222−20000000000
χ8722-2-2-222-2-2200000002i−2i2i−2i00−i2i2i2−i2−i2i2i2−i2−222−2−222−20000000000-2-2222-2-222-20000000−2i2i−2i2i00i2−i2−i2i2i2−i2−i2i22−2−222−2−220000000000
χ8822-2-2-222-2-220000000−2i2i−2i2i00i2−i2−i2i2i2−i2−i2i2−222−2−222−20000000000-2-2222-2-222-200000002i−2i2i−2i00−i2i2i2−i2−i2i2i2−i22−2−222−2−220000000000
χ8922-2-2-222-2-220000000−2i2i−2i2i00−i2i2i2−i2−i2i2i2−i22−2−222−2−220000000000-2-2222-2-222-200000002i−2i2i−2i00i2−i2−i2i2i2−i2−i2i2−222−2−222−20000000000
χ9022-2-2-22-222-200000002i−2i−2i2i002−2−22−222−2−i2i2i2−i2i2−i2−i2i20000000000-2-2222-22-2-220000000−2i2i2i−2i00−222−22−2−22i2−i2−i2i2−i2i2i2−i20000000000
χ9122-2-2-22-222-200000002i−2i−2i2i00−222−22−2−22i2−i2−i2i2−i2i2i2−i20000000000-2-2222-22-2-220000000−2i2i2i−2i002−2−22−222−2−i2i2i2−i2i2−i2−i2i20000000000
χ9222-2-2-22-222-20000000−2i2i2i−2i002−2−22−222−2i2−i2−i2i2−i2i2i2−i20000000000-2-2222-22-2-2200000002i−2i−2i2i00−222−22−2−22−i2i2i2−i2i2−i2−i2i20000000000
χ9322-2-2-22-222-20000000−2i2i2i−2i00−222−22−2−22−i2i2i2−i2i2−i2−i2i20000000000-2-2222-22-2-2200000002i−2i−2i2i002−2−22−222−2i2−i2−i2i2−i2i2i2−i20000000000
χ944-44-40000004-40000000000000000000000000002i−2i2i−2i000000-44-44000000-44000000000000000000000000000−2i2i−2i2i000000
χ954-44-40000004-4000000000000000000000000000−2i2i−2i2i000000-44-44000000-440000000000000000000000000002i−2i2i−2i000000
χ964-44-4000000-440000000000000000000000000002i−2i−2i2i000000-44-440000004-4000000000000000000000000000−2i2i2i−2i000000
χ974-44-4000000-44000000000000000000000000000−2i2i2i−2i000000-44-440000004-40000000000000000000000000002i−2i−2i2i000000
χ988-8-88000000000000000000000000000000000000000000000-888-8000000000000000000000000000000000000000000000

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