Finite Group Databasebeta

← Group #10829376

Character table — Group #10829376

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222222222222444444444444444444444444444444444444448888888888888888888888242424242424242448484848
order1222222222344446666666121212121212121222224444444444666666666666121212121212121212121212244444661212121212121212121212121212224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111111111111111111111-1-1111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ6111111111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111
χ8111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1
χ911111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111-11-11-11-11-11-1
χ1011111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-11-11-11-11-11-11
χ1111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-11-11-1-11-111-1-11
χ1211111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-11-111-11-1-111-1
χ1311111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11111111-11-11-11-1-11-11
χ1411111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1111111-11-11-11-111-11-1
χ1511111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1111111-1-1-1-1-1-11-11-1-11-11-111-1
χ1611111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1111111-1-1-1-1-1-1-11-111-11-11-1-11
χ172222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ182222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111111111000000000000
χ192222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-222-1-1-1-111111111-1-1-1-11111111122-2-2-2-2-1-1-1-1-1-111111111-1-1000000000000
χ202222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-2-2-2-2-2-1-1-1-111111111-1-1-1-111111111-2-22222111111-1-1-1-1-1-1-1-111000000000000
χ212222222222-1-2-2-2-2-1-1-1-1-1-1-111111111222222-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1111111111111-2-222-2-211-1-111-1-1-1-11111-1-1000000000000
χ222222222222-1-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111122-2-222-1-111-1-11111-1-1-1-111000000000000
χ232222222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-222-2-2222222-1-1-1-1111111111111-1-1-1-1-1-1-1-1-2-2-2-22211-1-1111111-1-1-1-1-1-1000000000000
χ242222222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-22222-2-2-1-1-1-1111111111111-1-1-1-1-1-1-1-12222-2-2-1-111-1-1-1-1-1-1111111000000000000
χ2522222-2-2-22-2222-2-222-2-2-2-222222-2-2-2-20000002-200000022-2-20000000022-2-2000000000000000000000000000000000022-2-20000
χ2622222-2-2-22-2222-2-222-2-2-2-222222-2-2-2-20000002-200000022-2-20000000022-2-20000000000000000000000000000000000-2-2220000
χ2722222-2-2-22-22-2-22222-2-2-2-22-2-2-2-22222000000-2200000022-2-200000000-2-22200000000000000000000000000000000002-2-220000
χ2822222-2-2-22-22-2-22222-2-2-2-22-2-2-2-22222000000-2200000022-2-200000000-2-2220000000000000000000000000000000000-222-20000
χ292222-22-2-2-22222-2-222-2-2-2-222222-2-2-2-2000000-22000000-2-22200000000-2-22200000000000000000000000000000022-2-200000000
χ302222-22-2-2-22222-2-222-2-2-2-222222-2-2-2-2000000-22000000-2-22200000000-2-222000000000000000000000000000000-2-22200000000
χ312222-22-2-2-222-2-22222-2-2-2-22-2-2-2-222220000002-2000000-2-2220000000022-2-20000000000000000000000000000002-2-2200000000
χ322222-22-2-2-222-2-22222-2-2-2-22-2-2-2-222220000002-2000000-2-2220000000022-2-2000000000000000000000000000000-222-200000000
χ332222-2-222-2-222222222222222222222000022-2-20000-2-2-2-2-2-200000000-2-2-2-200000000-220000-2-2222200000000-2-2000000000000
χ342222-2-222-2-2222222222222222222220000-2-2-2-2000022-2-2-2-200000000-2-2-2-2000000002-2000022-2-2-2-20000000022000000000000
χ352222-2-222-2-22-2-2-2-22222222-2-2-2-2-2-2-2-2000022220000-2-2-2-2-2-2000000002222000000002-200002222-2-200000000-2-2000000000000
χ362222-2-222-2-22-2-2-2-22222222-2-2-2-2-2-2-2-20000-2-222000022-2-2-2-200000000222200000000-220000-2-2-2-2220000000022000000000000
χ372222-2-222-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022-2-20000-2-21111−i3−i3−i3−i3i3i3i3i31111−i3−i3−i3−i3i3i3i3i3-22000011-1-1-1-1−i3−i3i3i3−i3−i3i3i311000000000000
χ382222-2-222-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022-2-20000-2-21111i3i3i3i3−i3−i3−i3−i31111i3i3i3i3−i3−i3−i3−i3-22000011-1-1-1-1i3i3−i3−i3i3i3−i3−i311000000000000
χ392222-2-222-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000221111−i3−i3−i3−i3i3i3i3i31111−i3−i3−i3−i3i3i3i3i32-20000-1-11111i3i3−i3−i3i3i3−i3−i3-1-1000000000000
χ402222-2-222-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000221111i3i3i3i3−i3−i3−i3−i31111i3i3i3i3−i3−i3−i3−i32-20000-1-11111−i3−i3i3i3−i3−i3i3i3-1-1000000000000
χ412222-2-222-2-2-1-2-2-2-2-1-1-1-1-1-1-111111111000022220000-2-21111−i3−i3−i3−i3i3i3i3i3-1-1-1-1i3i3i3i3−i3−i3−i3−i32-20000-1-1-1-111−i3−i3i3i3i3i3−i3−i311000000000000
χ422222-2-222-2-2-1-2-2-2-2-1-1-1-1-1-1-111111111000022220000-2-21111i3i3i3i3−i3−i3−i3−i3-1-1-1-1−i3−i3−i3−i3i3i3i3i32-20000-1-1-1-111i3i3−i3−i3−i3−i3i3i311000000000000
χ432222-2-222-2-2-1-2-2-2-2-1-1-1-1-1-1-1111111110000-2-2220000221111−i3−i3−i3−i3i3i3i3i3-1-1-1-1i3i3i3i3−i3−i3−i3−i3-2200001111-1-1i3i3−i3−i3−i3−i3i3i3-1-1000000000000
χ442222-2-222-2-2-1-2-2-2-2-1-1-1-1-1-1-1111111110000-2-2220000221111i3i3i3i3−i3−i3−i3−i3-1-1-1-1−i3−i3−i3−i3i3i3i3i3-2200001111-1-1−i3−i3i3i3i3i3−i3−i3-1-1000000000000
χ4522-2-22-22-2-22200002-222-2-2-20000000022-2-22i−2i0000002i−2i2-22-222-2-222-2-2000000000000002i−2i00002i−2i002i−2i2i−2i00002i−2i000000000000
χ4622-2-22-22-2-22200002-222-2-2-20000000022-2-2−2i2i000000−2i2i2-22-222-2-222-2-200000000000000−2i2i0000−2i2i00−2i2i−2i2i0000−2i2i000000000000
χ4722-2-22-22-2-22200002-222-2-2-200000000-2-2222i−2i0000002i−2i2-22-2-2-222-2-22200000000000000−2i2i00002i−2i00−2i2i−2i2i00002i−2i000000000000
χ4822-2-22-22-2-22200002-222-2-2-200000000-2-222−2i2i000000−2i2i2-22-2-2-222-2-222000000000000002i−2i0000−2i2i002i−2i2i−2i0000−2i2i000000000000
χ4922-2-22-22-2-22-10000-11-1-111133−3−333−3−322-2-22i−2i0000002i−2i-11-11-1-111-1-1113−33−333−3−333−3−3002i−2i00−i3i3−ii−i3i3−ii−ii−i3i3−i3i3−ii000000000000
χ5022-2-22-22-2-22-10000-11-1-111133−3−333−3−322-2-2−2i2i000000−2i2i-11-11-1-111-1-1113−33−333−3−333−3−300−2i2i00i3−i3i−ii3−i3i−ii−ii3−i3i3−i3i−i000000000000
χ5122-2-22-22-2-22-10000-11-1-111133−3−333−3−3-2-2222i−2i0000002i−2i-11-1111-1-111-1-13−33−3−3−333−3−33300−2i2i00−i3i3−ii−i3i3i−ii−ii3−i3i3−i3−ii000000000000
χ5222-2-22-22-2-22-10000-11-1-111133−3−333−3−3-2-222−2i2i000000−2i2i-11-1111-1-111-1-13−33−3−3−333−3−333002i−2i00i3−i3i−ii3−i3−ii−ii−i3i3−i3i3i−i000000000000
χ5322-2-22-22-2-22-10000-11-1-1111−3−333−3−33322-2-22i−2i0000002i−2i-11-11-1-111-1-111−33−33−3−333−3−333002i−2i00i3−i3−iii3−i3−ii−iii3−i3i3−i3−ii000000000000
χ5422-2-22-22-2-22-10000-11-1-1111−3−333−3−33322-2-2−2i2i000000−2i2i-11-11-1-111-1-111−33−33−3−333−3−33300−2i2i00−i3i3i−i−i3i3i−ii−i−i3i3−i3i3i−i000000000000
χ5522-2-22-22-2-22-10000-11-1-1111−3−333−3−333-2-2222i−2i0000002i−2i-11-1111-1-111-1-1−33−3333−3−333−3−300−2i2i00i3−i3−iii3−i3i−ii−i−i3i3−i3i3−ii000000000000
χ5622-2-22-22-2-22-10000-11-1-1111−3−333−3−333-2-222−2i2i000000−2i2i-11-1111-1-111-1-1−33−3333−3−333−3−3002i−2i00−i3i3i−i−i3i3−ii−iii3−i3i3−i3i−i000000000000
χ5722-2-2-222-22-2200002-222-2-2-20000000000002i−2i002i2i−2i−2i−2i2i-22-220000000000002i2i−2i−2i−2i−2i2i2i00002-2002i−2i0000002-2-22−2i2i000000000000
χ5822-2-2-222-22-2200002-222-2-2-20000000000002i−2i00−2i−2i2i2i−2i2i-22-22000000000000−2i−2i2i2i2i2i−2i−2i0000-22002i−2i000000-222-2−2i2i000000000000
χ5922-2-2-222-22-2200002-222-2-2-2000000000000−2i2i002i2i−2i−2i2i−2i-22-220000000000002i2i−2i−2i−2i−2i2i2i0000-2200−2i2i000000-222-22i−2i000000000000
χ6022-2-2-222-22-2200002-222-2-2-2000000000000−2i2i00−2i−2i2i2i2i−2i-22-22000000000000−2i−2i2i2i2i2i−2i−2i00002-200−2i2i0000002-2-222i−2i000000000000
χ6122-2-2-222-22-2-10000-11-1-111133−3−333−3−300002i−2i002i2i−2i−2i−2i2i1-11-1−i3−i3i3i3i3i3−i3−i3−33−33−i−iiiii−i−i00002-2i3−i3−ii−i3i33−3−33-111-1i−i000000000000
χ6222-2-2-222-22-2-10000-11-1-111133−3−333−3−300002i−2i00−2i−2i2i2i−2i2i1-11-1i3i3−i3−i3−i3−i3i3i3−33−33ii−i−i−i−iii0000-22i3−i3−ii−i3i3−333−31-1-11i−i000000000000
χ6322-2-2-222-22-2-10000-11-1-111133−3−333−3−30000−2i2i002i2i−2i−2i2i−2i1-11-1−i3−i3i3i3i3i3−i3−i3−33−33−i−iiiii−i−i0000-22−i3i3i−ii3−i3−333−31-1-11−ii000000000000
χ6422-2-2-222-22-2-10000-11-1-111133−3−333−3−30000−2i2i00−2i−2i2i2i2i−2i1-11-1i3i3−i3−i3−i3−i3i3i3−33−33ii−i−i−i−iii00002-2−i3i3i−ii3−i33−3−33-111-1−ii000000000000
χ6522-2-2-222-22-2-10000-11-1-1111−3−333−3−33300002i−2i002i2i−2i−2i−2i2i1-11-1i3i3−i3−i3−i3−i3i3i33−33−3−i−iiiii−i−i00002-2−i3i3−iii3−i3−333−3-111-1i−i000000000000
χ6622-2-2-222-22-2-10000-11-1-1111−3−333−3−33300002i−2i00−2i−2i2i2i−2i2i1-11-1−i3−i3i3i3i3i3−i3−i33−33−3ii−i−i−i−iii0000-22−i3i3−iii3−i33−3−331-1-11i−i000000000000
χ6722-2-2-222-22-2-10000-11-1-1111−3−333−3−3330000−2i2i002i2i−2i−2i2i−2i1-11-1i3i3−i3−i3−i3−i3i3i33−33−3−i−iiiii−i−i0000-22i3−i3i−i−i3i33−3−331-1-11−ii000000000000
χ6822-2-2-222-22-2-10000-11-1-1111−3−333−3−3330000−2i2i00−2i−2i2i2i2i−2i1-11-1−i3−i3i3i3i3i3−i3−i33−33−3ii−i−i−i−iii00002-2i3−i3i−i−i3i3−333−3-111-1−ii000000000000
χ6944444-4-4-44-4-244-4-4-2-22222-2-2-2-2-222220000004-4000000-2-22200000000-2-222000000000000000000000000000000000000000000
χ7044444-4-4-44-4-2-4-444-2-22222-22222-2-2-2-2000000-44000000-2-2220000000022-2-2000000000000000000000000000000000000000000
χ714444-44-4-4-44-244-4-4-2-22222-2-2-2-2-22222000000-4400000022-2-20000000022-2-2000000000000000000000000000000000000000000
χ724444-44-4-4-44-2-4-444-2-22222-22222-2-2-2-20000004-400000022-2-200000000-2-222000000000000000000000000000000000000000000
χ7344-4-444-44-4-4400004-4-4-444-400000000000000000000004-4-44000000000000000000000000000000000000000000000000000000
χ7444-4-444-44-4-4-20000-2222-2-222323−23−23−23−23232300000000000000-222-20000000023−23−2323000000000000000000000000000000000000000000
χ7544-4-444-44-4-4-20000-2222-2-22−23−2323232323−23−2300000000000000-222-200000000−232323−23000000000000000000000000000000000000000000
χ7644-4-4-4-4-4444400004-4-4-444-40000000000000000000000-444-4000000000000000000000000000000000000000000000000000000
χ7744-4-4-4-4-4444-20000-2222-2-222323−23−23−23−232323000000000000002-2-2200000000−232323−23000000000000000000000000000000000000000000
χ7844-4-4-4-4-4444-20000-2222-2-22−23−2323232323−23−23000000000000002-2-220000000023−23−2323000000000000000000000000000000000000000000
χ794-44-40000004004i−4i-440000-400004i−4i4i−4i2-22-200002i−2i2i−2i0000002-22-22-22-200002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000
χ804-44-40000004004i−4i-440000-400004i−4i4i−4i-22-220000−2i2i−2i2i000000-22-22-22-220000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000
χ814-44-4000000400−4i4i-440000-40000−4i4i−4i4i2-22-20000−2i2i−2i2i0000002-22-22-22-20000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000
χ824-44-4000000400−4i4i-440000-40000−4i4i−4i4i-22-2200002i−2i2i−2i000000-22-22-22-2200002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000
χ834-44-4000000-2004i−4i2-2−2i32i3−2i32i3223−2323−23−2i2i−2i2i2-22-200002i−2i2i−2i000000−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i300002ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ70000000000000000000000000000000000
χ844-44-4000000-2004i−4i2-2−2i32i3−2i32i3223−2323−23−2i2i−2i2i-22-220000−2i2i−2i2i0000001+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i30000−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ70000000000000000000000000000000000
χ854-44-4000000-2004i−4i2-22i3−2i32i3−2i32−2323−2323−2i2i−2i2i2-22-200002i−2i2i−2i000000−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i300002ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ110000000000000000000000000000000000
χ864-44-4000000-2004i−4i2-22i3−2i32i3−2i32−2323−2323−2i2i−2i2i-22-220000−2i2i−2i2i0000001−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i30000−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ110000000000000000000000000000000000
χ874-44-4000000-200−4i4i2-2−2i32i3−2i32i32−2323−23232i−2i2i−2i2-22-20000−2i2i−2i2i000000−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i30000−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ70000000000000000000000000000000000
χ884-44-4000000-200−4i4i2-2−2i32i3−2i32i32−2323−23232i−2i2i−2i-22-2200002i−2i2i−2i0000001+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i300002ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ70000000000000000000000000000000000
χ894-44-4000000-200−4i4i2-22i3−2i32i3−2i3223−2323−232i−2i2i−2i2-22-20000−2i2i−2i2i000000−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i30000−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ110000000000000000000000000000000000
χ904-44-4000000-200−4i4i2-22i3−2i32i3−2i3223−2323−232i−2i2i−2i-22-2200002i−2i2i−2i0000001−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i300002ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ110000000000000000000000000000000000
χ914-4-4400000044-400-4-4000044-4-4400002-2-2200002-2-220000002-2-222-2-2200002-2-22-222-20000000000000000000000000000000000
χ924-4-4400000044-400-4-4000044-4-440000-222-20000-222-2000000-222-2-222-20000-222-22-2-220000000000000000000000000000000000
χ934-4-440000004-4400-4-400004-444-400002-2-220000-222-20000002-2-222-2-220000-222-22-2-220000000000000000000000000000000000
χ944-4-440000004-4400-4-400004-444-40000-222-200002-2-22000000-222-2-222-200002-2-22-222-20000000000000000000000000000000000
χ954-4-44000000-24-40022−2i32i32i3−2i3-2-222-2−2i32i32i3−2i32-2-2200002-2-22000000−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i30000−1−i31+i31+i3−1−i31−i3−1+i3−1+i31−i30000000000000000000000000000000000
χ964-4-44000000-24-40022−2i32i32i3−2i3-2-222-2−2i32i32i3−2i3-222-20000-222-20000001+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i300001+i3−1−i3−1−i31+i3−1+i31−i31−i3−1+i30000000000000000000000000000000000
χ974-4-44000000-24-400222i3−2i3−2i32i3-2-222-22i3−2i3−2i32i32-2-2200002-2-22000000−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i30000−1+i31−i31−i3−1+i31+i3−1−i3−1−i31+i30000000000000000000000000000000000
χ984-4-44000000-24-400222i3−2i3−2i32i3-2-222-22i3−2i3−2i32i3-222-20000-222-20000001−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i300001−i3−1+i3−1+i31−i3−1−i31+i31+i3−1−i30000000000000000000000000000000000
χ994-4-44000000-2-440022−2i32i32i3−2i3-22-2-222i3−2i3−2i32i32-2-220000-222-2000000−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i300001+i3−1−i3−1−i31+i3−1+i31−i31−i3−1+i30000000000000000000000000000000000
χ1004-4-44000000-2-440022−2i32i32i3−2i3-22-2-222i3−2i3−2i32i3-222-200002-2-220000001+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i30000−1−i31+i31+i3−1−i31−i3−1+i3−1+i31−i30000000000000000000000000000000000
χ1014-4-44000000-2-4400222i3−2i3−2i32i3-22-2-22−2i32i32i3−2i32-2-220000-222-2000000−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i300001−i3−1+i3−1+i31−i3−1−i31+i31+i3−1−i30000000000000000000000000000000000
χ1024-4-44000000-2-4400222i3−2i3−2i32i3-22-2-22−2i32i32i3−2i3-222-200002-2-220000001−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i30000−1+i31−i31−i3−1+i31+i3−1−i3−1−i31+i30000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.