Finite Group Databasebeta

← Group #201367

Character table — Group #201367

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222244444444444444444444444444488881616161616161111222222224444444444444444444444444448888161616161616
order12222222224422444444444888888888888888844444444442222222222442244444444488888888888888884444444444
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
χ5111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ6111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ7111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ8111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ911111-1-11-1-1-1-111-1-111-1-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-11-1i−ii−i11111-1-11-1-1-1-111-1-111-1-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-11-1i−ii−i
χ1011111-1-11-1-1-1-111-1-111-1-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111-11−ii−ii11111-1-11-1-1-1-111-1-111-1-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111-11−ii−ii
χ1111111-1-11-1-1-1-111-1-111-1-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-11-1−ii−ii11111-1-11-1-1-1-111-1-111-1-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-11-1−ii−ii
χ1211111-1-11-1-1-1-111-1-111-1-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111-11i−ii−i11111-1-11-1-1-1-111-1-111-1-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111-11i−ii−i
χ1311111-1-11-1-1-1-1-1-11111-111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-11i−i−ii11111-1-11-1-1-1-1-1-11111-111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-11i−i−ii
χ1411111-1-11-1-1-1-1-1-11111-111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1111-1−iii−i11111-1-11-1-1-1-1-1-11111-111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1111-1−iii−i
χ1511111-1-11-1-1-1-1-1-11111-111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-11−iii−i11111-1-11-1-1-1-1-1-11111-111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-11−iii−i
χ1611111-1-11-1-1-1-1-1-11111-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1i−i−ii11111-1-11-1-1-1-1-1-11111-111-1-1−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
χ182222222222-2-2-2-2-2-2-2-2-22222000000000000000000000000002222222222-2-2-2-2-2-2-2-2-2222200000000000000000000000000
χ1922222-2-22-2-22222-2-2-2-2222-2-20000000000000000000000000022222-2-22-2-22222-2-2-2-2222-2-200000000000000000000000000
χ2022222-2-22-2-222-2-222-2-22-2-2220000000000000000000000000022222-2-22-2-222-2-222-2-22-2-22200000000000000000000000000
χ212222-22-2-22-22200002-2-200000000000022-2-222-2-200000000002222-22-2-22-22200002-2-200000000000022-2-222-2-20000000000
χ222222-22-2-22-22200002-2-2000000000000-2-222-2-22200000000002222-22-2-22-22200002-2-2000000000000-2-222-2-2220000000000
χ232222-22-2-22-2-2-20000-22200002i2i−2i−2i2i2i−2i−2i0000000000000000002222-22-2-22-2-2-20000-22200002i2i−2i−2i2i2i−2i−2i000000000000000000
χ242222-22-2-22-2-2-20000-2220000−2i−2i2i2i−2i−2i2i2i0000000000000000002222-22-2-22-2-2-20000-2220000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ252222-2-22-2-22220000-22-2000022-2-2-2-2220000000000000000002222-2-22-2-22220000-22-2000022-2-2-2-222000000000000000000
χ262222-2-22-2-22220000-22-20000-2-22222-2-20000000000000000002222-2-22-2-22220000-22-20000-2-22222-2-2000000000000000000
χ272222-2-22-2-22-2-200002-220000000000002i2i−2i−2i−2i−2i2i2i00000000002222-2-22-2-22-2-200002-220000000000002i2i−2i−2i−2i−2i2i2i0000000000
χ282222-2-22-2-22-2-200002-22000000000000−2i−2i2i2i2i2i−2i−2i00000000002222-2-22-2-22-2-200002-22000000000000−2i−2i2i2i2i2i−2i−2i0000000000
χ2922-2-2222-2-2-2002-22-200000002−22−22−22−22−22−22−22−2000000000022-2-2222-2-2-2002-22-200000002−22−22−22−22−22−22−22−20000000000
χ3022-2-2222-2-2-2002-22-20000000−22−22−22−22−22−22−22−22000000000022-2-2222-2-2-2002-22-20000000−22−22−22−22−22−22−22−220000000000
χ3122-2-2222-2-2-200-22-2200000002−22−22−22−2−22−22−22−22000000000022-2-2222-2-2-200-22-2200000002−22−22−22−2−22−22−22−220000000000
χ3222-2-2222-2-2-200-22-220000000−22−22−22−222−22−22−22−2000000000022-2-2222-2-2-200-22-220000000−22−22−22−222−22−22−22−20000000000
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
χ3722-2-2-22-22-220000000002i−2i2i−2ii2−i2−i2i2i2−i2−i2i22−2−222−2−22000000000022-2-2-22-22-220000000002i−2i2i−2ii2−i2−i2i2i2−i2−i2i22−2−222−2−220000000000
χ3822-2-2-22-22-220000000002i−2i2i−2i−i2i2i2−i2−i2i2i2−i2−222−2−222−2000000000022-2-2-22-22-220000000002i−2i2i−2i−i2i2i2−i2−i2i2i2−i2−222−2−222−20000000000
χ3922-2-2-22-22-22000000000−2i2i−2i2ii2−i2−i2i2i2−i2−i2i2−222−2−222−2000000000022-2-2-22-22-22000000000−2i2i−2i2ii2−i2−i2i2i2−i2−i2i2−222−2−222−20000000000
χ4022-2-2-22-22-22000000000−2i2i−2i2i−i2i2i2−i2−i2i2i2−i22−2−222−2−22000000000022-2-2-22-22-22000000000−2i2i−2i2i−i2i2i2−i2−i2i2i2−i22−2−222−2−220000000000
χ4122-2-2-2-2222-20000000002i−2i−2i2i2−2−22−222−2i2−i2−i2i2−i2i2i2−i2000000000022-2-2-2-2222-20000000002i−2i−2i2i2−2−22−222−2i2−i2−i2i2−i2i2i2−i20000000000
χ4222-2-2-2-2222-20000000002i−2i−2i2i−222−22−2−22−i2i2i2−i2i2−i2−i2i2000000000022-2-2-2-2222-20000000002i−2i−2i2i−222−22−2−22−i2i2i2−i2i2−i2−i2i20000000000
χ4322-2-2-2-2222-2000000000−2i2i2i−2i2−2−22−222−2−i2i2i2−i2i2−i2−i2i2000000000022-2-2-2-2222-2000000000−2i2i2i−2i2−2−22−222−2−i2i2i2−i2i2−i2−i2i20000000000
χ4422-2-2-2-2222-2000000000−2i2i2i−2i−222−22−2−22i2−i2−i2i2−i2i2i2−i2000000000022-2-2-2-2222-2000000000−2i2i2i−2i−222−22−2−22i2−i2−i2i2−i2i2i2−i20000000000
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
χ54111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111
χ55111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1
χ56111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ57111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ5811111-1-11-1-1-1-111-1-111-1-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-11-1i−ii−i-1-1-1-1-111-11111-1-111-1-1111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-11−ii−ii
χ5911111-1-11-1-1-1-111-1-111-1-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111-11−ii−ii-1-1-1-1-111-11111-1-111-1-1111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11-1i−ii−i
χ6011111-1-11-1-1-1-111-1-111-1-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-11-1−ii−ii-1-1-1-1-111-11111-1-111-1-1111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-11i−ii−i
χ6111111-1-11-1-1-1-111-1-111-1-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111-11i−ii−i-1-1-1-1-111-11111-1-111-1-1111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11-1−ii−ii
χ6211111-1-11-1-1-1-1-1-11111-111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-11i−i−ii-1-1-1-1-111-1111111-1-1-1-11-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1−iii−i
χ6311111-1-11-1-1-1-1-1-11111-111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1111-1−iii−i-1-1-1-1-111-1111111-1-1-1-11-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-11i−i−ii
χ6411111-1-11-1-1-1-1-1-11111-111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-11−iii−i-1-1-1-1-111-1111111-1-1-1-11-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1111-1i−i−ii
χ6511111-1-11-1-1-1-1-1-11111-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1i−i−ii-1-1-1-1-111-1111111-1-1-1-11-1-111iiii−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
χ672222222222-2-2-2-2-2-2-2-2-2222200000000000000000000000000-2-2-2-2-2-2-2-2-2-2222222222-2-2-2-200000000000000000000000000
χ6822222-2-22-2-22222-2-2-2-2222-2-200000000000000000000000000-2-2-2-2-222-222-2-2-2-22222-2-2-22200000000000000000000000000
χ6922222-2-22-2-222-2-222-2-22-2-22200000000000000000000000000-2-2-2-2-222-222-2-222-2-222-222-2-200000000000000000000000000
χ702222-22-2-22-22200002-2-200000000000022-2-222-2-20000000000-2-2-2-22-222-22-2-20000-222000000000000-2-222-2-2220000000000
χ712222-22-2-22-22200002-2-2000000000000-2-222-2-2220000000000-2-2-2-22-222-22-2-20000-22200000000000022-2-222-2-20000000000
χ722222-22-2-22-2-2-20000-22200002i2i−2i−2i2i2i−2i−2i000000000000000000-2-2-2-22-222-222200002-2-20000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ732222-22-2-22-2-2-20000-2220000−2i−2i2i2i−2i−2i2i2i000000000000000000-2-2-2-22-222-222200002-2-200002i2i−2i−2i2i2i−2i−2i000000000000000000
χ742222-2-22-2-22220000-22-2000022-2-2-2-222000000000000000000-2-2-2-222-222-2-2-200002-220000-2-22222-2-2000000000000000000
χ752222-2-22-2-22220000-22-20000-2-22222-2-2000000000000000000-2-2-2-222-222-2-2-200002-22000022-2-2-2-222000000000000000000
χ762222-2-22-2-22-2-200002-220000000000002i2i−2i−2i−2i−2i2i2i0000000000-2-2-2-222-222-2220000-22-2000000000000−2i−2i2i2i2i2i−2i−2i0000000000
χ772222-2-22-2-22-2-200002-22000000000000−2i−2i2i2i2i2i−2i−2i0000000000-2-2-2-222-222-2220000-22-20000000000002i2i−2i−2i−2i−2i2i2i0000000000
χ7822-2-2222-2-2-2002-22-200000002−22−22−22−22−22−22−22−20000000000-2-222-2-2-222200-22-220000000−22−22−22−22−22−22−22−220000000000
χ7922-2-2222-2-2-2002-22-20000000−22−22−22−22−22−22−22−220000000000-2-222-2-2-222200-22-2200000002−22−22−22−22−22−22−22−20000000000
χ8022-2-2222-2-2-200-22-2200000002−22−22−22−2−22−22−22−220000000000-2-222-2-2-2222002-22-20000000−22−22−22−222−22−22−22−20000000000
χ8122-2-2222-2-2-200-22-220000000−22−22−22−222−22−22−22−20000000000-2-222-2-2-2222002-22-200000002−22−22−22−2−22−22−22−220000000000
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
χ8622-2-2-22-22-220000000002i−2i2i−2ii2−i2−i2i2i2−i2−i2i22−2−222−2−220000000000-2-2222-22-22-2000000000−2i2i−2i2i−i2i2i2−i2−i2i2i2−i2−222−2−222−20000000000
χ8722-2-2-22-22-220000000002i−2i2i−2i−i2i2i2−i2−i2i2i2−i2−222−2−222−20000000000-2-2222-22-22-2000000000−2i2i−2i2ii2−i2−i2i2i2−i2−i2i22−2−222−2−220000000000
χ8822-2-2-22-22-22000000000−2i2i−2i2ii2−i2−i2i2i2−i2−i2i2−222−2−222−20000000000-2-2222-22-22-20000000002i−2i2i−2i−i2i2i2−i2−i2i2i2−i22−2−222−2−220000000000
χ8922-2-2-22-22-22000000000−2i2i−2i2i−i2i2i2−i2−i2i2i2−i22−2−222−2−220000000000-2-2222-22-22-20000000002i−2i2i−2ii2−i2−i2i2i2−i2−i2i2−222−2−222−20000000000
χ9022-2-2-2-2222-20000000002i−2i−2i2i2−2−22−222−2i2−i2−i2i2−i2i2i2−i20000000000-2-22222-2-2-22000000000−2i2i2i−2i−222−22−2−22−i2i2i2−i2i2−i2−i2i20000000000
χ9122-2-2-2-2222-20000000002i−2i−2i2i−222−22−2−22−i2i2i2−i2i2−i2−i2i20000000000-2-22222-2-2-22000000000−2i2i2i−2i2−2−22−222−2i2−i2−i2i2−i2i2i2−i20000000000
χ9222-2-2-2-2222-2000000000−2i2i2i−2i2−2−22−222−2−i2i2i2−i2i2−i2−i2i20000000000-2-22222-2-2-220000000002i−2i−2i2i−222−22−2−22i2−i2−i2i2−i2i2i2−i20000000000
χ9322-2-2-2-2222-2000000000−2i2i2i−2i−222−22−2−22i2−i2−i2i2−i2i2i2−i20000000000-2-22222-2-2-220000000002i−2i−2i2i2−2−22−222−2−i2i2i2−i2i2−i2−i2i20000000000
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).