Finite Group Databasebeta

← Group #10877375

Character table — Group #10877375

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222222222222444444444444444444444444444444444444448888888888888888888888242424242424242448484848
order1244222344466688881212121224242424242424242244444466888888121212121212121212122424242424242424242424242466668888121212122424242424242424888888884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ911111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ1011111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-11-11
χ1211111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111-11-1
χ1311111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1111-1-11
χ1411111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-111-1
χ1511111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111-111-1
χ1611111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-11-1-11
χ172222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ182222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-2-2-2-22211111111-1-111111111-1-1-1-1-2-2-1-11122-2-2-1-111-1-1-1-11111000000000000
χ192222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-2111111111111000000000000
χ202222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-2-2-2-22211111111-1-111111111-1-1-1-12211-1-1-2-22211-1-11111-1-1-1-1000000000000
χ212222222-1222-1-1-1-2-2-2-2-1-1-1-11111111122222222-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111122-1-1-1-1-2-2-2-2-1-1-1-111111111000000000000
χ222222222-1222-1-1-1-2-2-2-2-1-1-1-1111111112222-2-2-2-2-1-12222-2-211111111-1-1-1-1-1-1-1-1-1-11111-2-2-1-111-2-222-1-1111111-1-1-1-1000000000000
χ232222222-1222-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-22222-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111-2-2111122221111-1-1-1-1-1-1-1-1000000000000
χ242222222-1222-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-2-2-2-2-2-1-12222-2-211111111-1-1-1-1-1-1-1-1-1-111112211-1-122-2-211-1-1-1-1-1-11111000000000000
χ2522222-2-22-2-2222222222222222222222-22-20000-2-20000-2-200000000-2-200000000-2-2-2-2002-2002-2002-20022-2-20000000000000000
χ2622222-2-22-2-222222222222222222222-22-220000-2-20000-2-200000000-2-200000000-2-2-2-200-2200-2200-2200-2-2220000000000000000
χ2722222-2-22-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22-22-20000-2-200002200000000-2-2000000002222002-200-22002-200-2-2220000000000000000
χ2822222-2-22-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-22-220000-2-200002200000000-2-200000000222200-22002-200-220022-2-20000000000000000
χ2922222-2-2-1-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-22-20000110000-2-2−i3−i3−i3−i3i3i3i3i311−i3−i3−i3−i3i3i3i3i3111100-11−i3i32-200-11−i3i3-1-111−i3−i3i3i3000000000000
χ3022222-2-2-1-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-22-20000110000-2-2i3i3i3i3−i3−i3−i3−i311i3i3i3i3−i3−i3−i3−i3111100-11i3−i32-200-11i3−i3-1-111i3i3−i3−i3000000000000
χ3122222-2-2-1-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-22-220000110000-2-2−i3−i3−i3−i3i3i3i3i311−i3−i3−i3−i3i3i3i3i31111001-1i3−i3-22001-1i3−i311-1-1i3i3−i3−i3000000000000
χ3222222-2-2-1-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-22-220000110000-2-2i3i3i3i3−i3−i3−i3−i311i3i3i3i3−i3−i3−i3−i31111001-1−i3i3-22001-1−i3i311-1-1−i3−i3i3i3000000000000
χ3322222-2-2-1-2-22-1-1-1-2-2-2-2-1-1-1-1111111112-22-2000011000022−i3−i3−i3−i3i3i3i3i311i3i3i3i3−i3−i3−i3−i3-1-1-1-100-11−i3i3-2200-11−i3i311-1-1i3i3−i3−i3000000000000
χ3422222-2-2-1-2-22-1-1-1-2-2-2-2-1-1-1-1111111112-22-2000011000022i3i3i3i3−i3−i3−i3−i311−i3−i3−i3−i3i3i3i3i3-1-1-1-100-11i3−i3-2200-11i3−i311-1-1−i3−i3i3i3000000000000
χ3522222-2-2-1-2-22-1-1-1-2-2-2-2-1-1-1-111111111-22-22000011000022−i3−i3−i3−i3i3i3i3i311i3i3i3i3−i3−i3−i3−i3-1-1-1-1001-1i3−i32-2001-1i3−i3-1-111−i3−i3i3i3000000000000
χ3622222-2-2-1-2-22-1-1-1-2-2-2-2-1-1-1-111111111-22-22000011000022i3i3i3i3−i3−i3−i3−i311−i3−i3−i3−i3i3i3i3i3-1-1-1-1001-1−i3i32-2001-1−i3i3-1-111i3i3−i3−i3000000000000
χ3722-2-22222-2-2-22220000-2-2-2-2000000002-2-220000222i2i−2i−2i0000000000-2-22i2i−2i−2i2i2i−2i−2i0000002-200002i−2i-220000002i−2i2i−2i000000000000
χ3822-2-22222-2-2-22220000-2-2-2-2000000002-2-22000022−2i−2i2i2i0000000000-2-2−2i−2i2i2i−2i−2i2i2i0000002-20000−2i2i-22000000−2i2i−2i2i000000000000
χ3922-2-22222-2-2-22220000-2-2-2-200000000-222-20000222i2i−2i−2i0000000000-2-22i2i−2i−2i2i2i−2i−2i000000-220000−2i2i2-2000000−2i2i−2i2i000000000000
χ4022-2-22222-2-2-22220000-2-2-2-200000000-222-2000022−2i−2i2i2i0000000000-2-2−2i−2i2i2i−2i−2i2i2i000000-2200002i−2i2-20000002i−2i2i−2i000000000000
χ4122-2-2222-1-2-2-2-1-1-1000011113333−3−3−3−32-2-220000-1-12i2i−2i−2i00−i3−i3i3i3−i3−i3i3i311−i−iii−i−iii33−3−300-11−i3i3002i−2i1-1i3−i33−33−3−ii−ii000000000000
χ4222-2-2222-1-2-2-2-1-1-1000011113333−3−3−3−32-2-220000-1-1−2i−2i2i2i00i3i3−i3−i3i3i3−i3−i311ii−i−iii−i−i33−3−300-11i3−i300−2i2i1-1−i3i33−33−3i−ii−i000000000000
χ4322-2-2222-1-2-2-2-1-1-1000011113333−3−3−3−3-222-20000-1-12i2i−2i−2i00−i3−i3i3i3−i3−i3i3i311−i−iii−i−iii33−3−3001-1i3−i300−2i2i-11−i3i3−33−33i−ii−i000000000000
χ4422-2-2222-1-2-2-2-1-1-1000011113333−3−3−3−3-222-20000-1-1−2i−2i2i2i00i3i3−i3−i3i3i3−i3−i311ii−i−iii−i−i33−3−3001-1−i3i3002i−2i-11i3−i3−33−33−ii−ii000000000000
χ4522-2-2222-1-2-2-2-1-1-100001111−3−3−3−333332-2-220000-1-12i2i−2i−2i00i3i3−i3−i3i3i3−i3−i311−i−iii−i−iii−3−33300-11i3−i3002i−2i1-1−i3i3−33−33−ii−ii000000000000
χ4622-2-2222-1-2-2-2-1-1-100001111−3−3−3−333332-2-220000-1-1−2i−2i2i2i00−i3−i3i3i3−i3−i3i3i311ii−i−iii−i−i−3−33300-11−i3i300−2i2i1-1i3−i3−33−33i−ii−i000000000000
χ4722-2-2222-1-2-2-2-1-1-100001111−3−3−3−33333-222-20000-1-12i2i−2i−2i00i3i3−i3−i3i3i3−i3−i311−i−iii−i−iii−3−333001-1−i3i300−2i2i-11i3−i33−33−3i−ii−i000000000000
χ4822-2-2222-1-2-2-2-1-1-100001111−3−3−3−33333-222-20000-1-1−2i−2i2i2i00−i3−i3i3i3−i3−i3i3i311ii−i−iii−i−i−3−333001-1i3−i3002i−2i-11−i3i33−33−3−ii−ii000000000000
χ4922-2-22-2-2222-22220000-2-2-2-20000000022-2-222-2-2-2-200000022-2-2-2-222220000000000002-222220000-2-2-2-200000000000000000000
χ5022-2-22-2-2222-22220000-2-2-2-20000000022-2-2-2-222-2-2000000-2-22222-2-222000000000000-2222-2-20000-2-22200000000000000000000
χ5122-2-22-2-2222-22220000-2-2-2-200000000-2-22222-2-2-2-200000022-2-2-2-22222000000000000-22-2-2-2-20000222200000000000000000000
χ5222-2-22-2-2222-22220000-2-2-2-200000000-2-222-2-222-2-2000000-2-22222-2-2220000000000002-2-2-222000022-2-200000000000000000000
χ5322-2-22-2-2-122-2-1-1-1000011113333−3−3−3−322-2-222-2-211000000-1-11111-1-1-1-133−3−3−3−333−3−3332-2-1-1-1-1000011113−3−333−3−33000000000000
χ5422-2-22-2-2-122-2-1-1-1000011113333−3−3−3−322-2-2-2-2221100000011-1-1-1-111-1-1−3−33333−3−3−3−333-22-1-111000011-1-13−3−33−333−3000000000000
χ5522-2-22-2-2-122-2-1-1-1000011113333−3−3−3−3-2-22222-2-211000000-1-11111-1-1-1-133−3−3−3−333−3−333-2211110000-1-1-1-1−333−3−333−3000000000000
χ5622-2-22-2-2-122-2-1-1-1000011113333−3−3−3−3-2-222-2-2221100000011-1-1-1-111-1-1−3−33333−3−3−3−3332-211-1-10000-1-111−333−33−3−33000000000000
χ5722-2-22-2-2-122-2-1-1-100001111−3−3−3−3333322-2-222-2-211000000-1-11111-1-1-1-1−3−33333−3−333−3−32-2-1-1-1-100001111−333−3−333−3000000000000
χ5822-2-22-2-2-122-2-1-1-100001111−3−3−3−3333322-2-2-2-2221100000011-1-1-1-111-1-133−3−3−3−33333−3−3-22-1-111000011-1-1−333−33−3−33000000000000
χ5922-2-22-2-2-122-2-1-1-100001111−3−3−3−33333-2-22222-2-211000000-1-11111-1-1-1-1−3−33333−3−333−3−3-2211110000-1-1-1-13−3−333−3−33000000000000
χ6022-2-22-2-2-122-2-1-1-100001111−3−3−3−33333-2-222-2-2221100000011-1-1-1-111-1-133−3−3−3−33333−3−32-211-1-10000-1-1113−3−33−333−3000000000000
χ6122-2-2-22-222-22-2-2222-2-2-2-22222-2-222-2-2000000002-200002-2000000002-2000000002-22-2000000000000000000000000002i−2i2i−2i0000
χ6222-2-2-22-222-22-2-2222-2-2-2-22222-2-222-2-2000000002-200002-2000000002-2000000002-22-200000000000000000000000000−2i2i−2i2i0000
χ6322-2-2-22-222-22-2-22-2-222-2-222-2-222-2-222000000002-20000-22000000002-200000000-22-22000000000000000000000000002i−2i−2i2i0000
χ6422-2-2-22-222-22-2-22-2-222-2-222-2-222-2-222000000002-20000-22000000002-200000000-22-2200000000000000000000000000−2i2i2i−2i0000
χ6522-2-2-2-222-222-2-2222-2-2-2-22222-2-222-2-200000000-220000-2200000000-2200000000-22-2200000000000000000000002i−2i2i−2i00000000
χ6622-2-2-2-222-222-2-2222-2-2-2-22222-2-222-2-200000000-220000-2200000000-2200000000-22-220000000000000000000000−2i2i−2i2i00000000
χ6722-2-2-2-222-222-2-22-2-222-2-222-2-222-2-22200000000-2200002-200000000-22000000002-22-200000000000000000000002i−2i−2i2i00000000
χ6822-2-2-2-222-222-2-22-2-222-2-222-2-222-2-22200000000-2200002-200000000-22000000002-22-20000000000000000000000−2i2i2i−2i00000000
χ694444-44-44-44-4-4-44000044-4-400000000000000004-400000000000000-440000000000000000000000000000000000000000000000
χ704444-44-4-2-44-422-20000-2-2222323−23−23−23−23232300000000-22000000000000002-20000000023−23−23230000000000000000000000000000000000
χ714444-44-4-2-44-422-20000-2-222−23−2323232323−23−2300000000-22000000000000002-200000000−232323−230000000000000000000000000000000000
χ724444-4-4444-4-4-4-44000044-4-40000000000000000-44000000000000004-40000000000000000000000000000000000000000000000
χ734444-4-44-24-4-422-20000-2-2222323−23−23−23−232323000000002-200000000000000-2200000000−232323−230000000000000000000000000000000000
χ744444-4-44-24-4-422-20000-2-222−23−2323232323−23−23000000002-200000000000000-220000000023−23−23230000000000000000000000000000000000
χ7544-4-4-44-4-24-4422-244-4-422-2-2-2-222-2-22200000000-2200004-400000000-2200000000-22-220000000000000000000000000000000000
χ7644-4-4-44-4-24-4422-2-4-44422-2-222-2-222-2-200000000-220000-4400000000-22000000002-22-20000000000000000000000000000000000
χ7744-4-4-4-44-2-44422-244-4-422-2-2-2-222-2-222000000002-20000-44000000002-2000000002-22-20000000000000000000000000000000000
χ7844-4-4-4-44-2-44422-2-4-44422-2-222-2-222-2-2000000002-200004-4000000002-200000000-22-220000000000000000000000000000000000
χ794-44i−4i000400000-422−22−2i22i24i−4i0022−22−2i22i222−22−2i22i200002-22i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002-22i−2i2i−2i2-2002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000000000000000
χ804-44i−4i000400000-422−22−2i22i24i−4i0022−22−2i22i222−22−2i22i20000-22−2i2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300-22−2i2i−2i2i-2200−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000000000000000
χ814-44i−4i000400000-4−22222i2−2i24i−4i00−22222i2−2i2−22222i2−2i200002-22i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13002-22i−2i2i−2i2-200−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000000000000000
χ824-44i−4i000400000-4−22222i2−2i24i−4i00−22222i2−2i2−22222i2−2i20000-22−2i2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300-22−2i2i−2i2i-22002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000000000000000
χ834-44i−4i000-2000−2i32i3222−22−2i22i2−2i2i23−232ζ5−2ζ7−2ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ2300002-22i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300−1−i31+i32ζ22−2ζ222ζ14−2ζ14−1+i31−i300−2ζ72ζ72ζ13−2ζ13−2ζ232ζ232ζ5−2ζ500000000000000000000000000000000000000
χ844-44i−4i000-2000−2i32i3222−22−2i22i2−2i2i23−232ζ5−2ζ7−2ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ230000-22−2i2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13001+i3−1−i3−2ζ222ζ22−2ζ142ζ141−i3−1+i3002ζ7−2ζ7−2ζ132ζ132ζ23−2ζ23−2ζ52ζ500000000000000000000000000000000000000
χ854-44i−4i000-2000−2i32i32−22222i2−2i2−2i2i23−23−2ζ5+2ζ72ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ2300002-22i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300−1−i31+i32ζ22−2ζ222ζ14−2ζ14−1+i31−i3002ζ7−2ζ7−2ζ132ζ132ζ23−2ζ23−2ζ52ζ500000000000000000000000000000000000000
χ864-44i−4i000-2000−2i32i32−22222i2−2i2−2i2i23−23−2ζ5+2ζ72ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ230000-22−2i2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13001+i3−1−i3−2ζ222ζ22−2ζ142ζ141−i3−1+i300−2ζ72ζ72ζ13−2ζ13−2ζ232ζ232ζ5−2ζ500000000000000000000000000000000000000
χ874-44i−4i000-20002i3−2i3222−22−2i22i2−2i2i−23232ζ13−2ζ23−2ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ700002-22i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300−1+i31−i32ζ14−2ζ142ζ22−2ζ22−1−i31+i300−2ζ232ζ232ζ5−2ζ5−2ζ72ζ72ζ13−2ζ1300000000000000000000000000000000000000
χ884-44i−4i000-20002i3−2i3222−22−2i22i2−2i2i−23232ζ13−2ζ23−2ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ70000-22−2i2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13001−i3−1+i3−2ζ142ζ14−2ζ222ζ221+i3−1−i3002ζ23−2ζ23−2ζ52ζ52ζ7−2ζ7−2ζ132ζ1300000000000000000000000000000000000000
χ894-44i−4i000-20002i3−2i32−22222i2−2i2−2i2i−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ700002-22i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300−1+i31−i32ζ14−2ζ142ζ22−2ζ22−1−i31+i3002ζ23−2ζ23−2ζ52ζ52ζ7−2ζ7−2ζ132ζ1300000000000000000000000000000000000000
χ904-44i−4i000-20002i3−2i32−22222i2−2i2−2i2i−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ70000-22−2i2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13001−i3−1+i3−2ζ142ζ14−2ζ222ζ221+i3−1−i300−2ζ232ζ232ζ5−2ζ5−2ζ72ζ72ζ13−2ζ1300000000000000000000000000000000000000
χ914-4−4i4i000400000-422−222i2−2i2−4i4i0022−222i2−2i222−222i2−2i200002-2−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23002-2−2i2i−2i2i2-200−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000000000000000
χ924-4−4i4i000400000-422−222i2−2i2−4i4i0022−222i2−2i222−222i2−2i20000-222i−2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300-222i−2i2i−2i-22002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000000000000000
χ934-4−4i4i000400000-4−2222−2i22i2−4i4i00−2222−2i22i2−2222−2i22i200002-2−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23002-2−2i2i−2i2i2-2002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000000000000000
χ944-4−4i4i000400000-4−2222−2i22i2−4i4i00−2222−2i22i2−2222−2i22i20000-222i−2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300-222i−2i2i−2i-2200−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000000000000000
χ954-4−4i4i000-2000−2i32i3222−222i2−2i22i−2i−23232ζ13−2ζ23−2ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ700002-2−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300−1−i31+i3−2ζ222ζ22−2ζ142ζ14−1+i31−i3002ζ13−2ζ13−2ζ72ζ72ζ5−2ζ5−2ζ232ζ2300000000000000000000000000000000000000
χ964-4−4i4i000-2000−2i32i3222−222i2−2i22i−2i−23232ζ13−2ζ23−2ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ70000-222i−2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23001+i3−1−i32ζ22−2ζ222ζ14−2ζ141−i3−1+i300−2ζ132ζ132ζ7−2ζ7−2ζ52ζ52ζ23−2ζ2300000000000000000000000000000000000000
χ974-4−4i4i000-2000−2i32i32−2222−2i22i22i−2i−2323−2ζ13+2ζ232ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ700002-2−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300−1−i31+i3−2ζ222ζ22−2ζ142ζ14−1+i31−i300−2ζ132ζ132ζ7−2ζ7−2ζ52ζ52ζ23−2ζ2300000000000000000000000000000000000000
χ984-4−4i4i000-2000−2i32i32−2222−2i22i22i−2i−2323−2ζ13+2ζ232ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ70000-222i−2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23001+i3−1−i32ζ22−2ζ222ζ14−2ζ141−i3−1+i3002ζ13−2ζ13−2ζ72ζ72ζ5−2ζ5−2ζ232ζ2300000000000000000000000000000000000000
χ994-4−4i4i000-20002i3−2i3222−222i2−2i22i−2i23−232ζ5−2ζ7−2ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ2300002-2−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300−1+i31−i3−2ζ142ζ14−2ζ222ζ22−1−i31+i3002ζ5−2ζ5−2ζ232ζ232ζ13−2ζ13−2ζ72ζ700000000000000000000000000000000000000
χ1004-4−4i4i000-20002i3−2i3222−222i2−2i22i−2i23−232ζ5−2ζ7−2ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ230000-222i−2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23001−i3−1+i32ζ14−2ζ142ζ22−2ζ221+i3−1−i300−2ζ52ζ52ζ23−2ζ23−2ζ132ζ132ζ7−2ζ700000000000000000000000000000000000000
χ1014-4−4i4i000-20002i3−2i32−2222−2i22i22i−2i23−23−2ζ5+2ζ72ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ2300002-2−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300−1+i31−i3−2ζ142ζ14−2ζ222ζ22−1−i31+i300−2ζ52ζ52ζ23−2ζ23−2ζ132ζ132ζ7−2ζ700000000000000000000000000000000000000
χ1024-4−4i4i000-20002i3−2i32−2222−2i22i22i−2i23−23−2ζ5+2ζ72ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ230000-222i−2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23001−i3−1+i32ζ14−2ζ142ζ22−2ζ221+i3−1−i3002ζ5−2ζ5−2ζ232ζ232ζ13−2ζ13−2ζ72ζ700000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.