Finite Group Databasebeta

← Group #13166493

Character table — Group #13166493

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222444444448888888888888888888899991212181818181818181818181818181818181818181818181818181818181818181818182424242424242424108108108108108108
order1222344666121212123366666633666666121212121212121212121212444424226666888888881212121224242424242424242424242424242424666612121212448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1i−ii−i
χ6111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1−ii−ii
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111−ii−ii
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111i−ii−i
χ911111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-1
χ1011111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-111
χ1111111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-111
χ1211111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111111-111-1-1
χ1311111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111ii−i−i−i−iii-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11-1i−i−ii
χ1411111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111−i−iiiii−i−i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-11-1−iii−i
χ1511111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111ii−i−i−i−iii-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-11−iii−i
χ1611111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111−i−iiiii−i−i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-11i−i−ii
χ172222-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220022-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ182222-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220022-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111111111111100000000000000
χ192222-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200-2-211112i2i2i2i−2i−2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii00000000000000
χ202222-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200-2-21111−2i−2i−2i−2i2i2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i00000000000000
χ212222-1-2-2-1-1-1111122222222-1-1-1-1-1-1-1-1-2-2-2-211111111222200-2-2111122-2-222-2-2-1-1-1-1-1-1-1-11111-1-1-1-1111100000000000000
χ222222-1-2-2-1-1-1111122222222-1-1-1-1-1-1-1-1-2-2-2-211111111222200-2-21111-2-222-2-222-1-1-1-11111-1-1-1-11111-1-1-1-100000000000000
χ232222-1-2-2-1-1-1111122222222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-20022-1-1-1-12i2i−2i−2i−2i−2i2i2i1111−i−i−i−iiiiiiiii−i−i−i−i00000000000000
χ242222-1-2-2-1-1-1111122222222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-20022-1-1-1-1−2i−2i2i2i2i2i−2i−2i1111iiii−i−i−i−i−i−i−i−iiiii00000000000000
χ2522-2-22002-2-2000022-2-2-2-2222222-2-2-2-20000000000002i−2i2i−2i000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002i−2i2i−2i2ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ230000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13000000000000000000
χ2622-2-22002-2-2000022-2-2-2-2222222-2-2-2-20000000000002i−2i2i−2i00000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13002i−2i2i−2i−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2300002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13000000000000000000
χ2722-2-22002-2-2000022-2-2-2-2222222-2-2-2-2000000000000−2i2i−2i2i00000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2i2i−2i2i−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23000000000000000000
χ2822-2-22002-2-2000022-2-2-2-2222222-2-2-2-2000000000000−2i2i−2i2i000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300−2i2i−2i2i2ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ130000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23000000000000000000
χ2922-2-2-100-11133−3−322-2-2-2-222-1-1-1-1111100003333−3−3−3−32i−2i2i−2i0000−i3−i3i3i32ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−ii−ii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300000000000000
χ3022-2-2-100-11133−3−322-2-2-2-222-1-1-1-1111100003333−3−3−3−32i−2i2i−2i0000−i3−i3i3i3−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−ii−iiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ2300000000000000
χ3122-2-2-100-11133−3−322-2-2-2-222-1-1-1-1111100003333−3−3−3−3−2i2i−2i2i0000i3i3−i3−i3−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300i−ii−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ1300000000000000
χ3222-2-2-100-11133−3−322-2-2-2-222-1-1-1-1111100003333−3−3−3−3−2i2i−2i2i0000i3i3−i3−i32ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300i−ii−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ1300000000000000
χ3322-2-2-100-111−3−33322-2-2-2-222-1-1-1-111110000−3−3−3−333332i−2i2i−2i0000i3i3−i3−i32ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−ii−ii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ2300000000000000
χ3422-2-2-100-111−3−33322-2-2-2-222-1-1-1-111110000−3−3−3−333332i−2i2i−2i0000i3i3−i3−i3−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−ii−iiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300000000000000
χ3522-2-2-100-111−3−33322-2-2-2-222-1-1-1-111110000−3−3−3−33333−2i2i−2i2i0000−i3−i3i3i3−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300i−ii−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ1300000000000000
χ3622-2-2-100-111−3−33322-2-2-2-222-1-1-1-111110000−3−3−3−33333−2i2i−2i2i0000−i3−i3i3i32ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300i−ii−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ1300000000000000
χ372-22-222i−2i-22-22i−2i2i−2i2222-2-2-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i−2i−2i2i002-22-22-2000000002i−2i−2i2i000000000000000000000000000000
χ382-22-222i−2i-22-22i−2i2i−2i2222-2-2-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i2i2i−2i00-22-22-2200000000−2i2i2i−2i000000000000000000000000000000
χ392-22-22−2i2i-22-2−2i2i−2i2i2222-2-2-2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2i−2i−2i2i00-22-22-22000000002i−2i−2i2i000000000000000000000000000000
χ402-22-22−2i2i-22-2−2i2i−2i2i2222-2-2-2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i2i2i−2i002-22-22-200000000−2i2i2i−2i000000000000000000000000000000
χ412-22-2-12i−2i1-11−ii−ii2222-2-2-2-2-1-111-1-1112i2i−2i−2i−i−iii−i−iii2i−2i−2i2i002-2-11-1100000000−iii−iζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300000000000000
χ422-22-2-12i−2i1-11−ii−ii2222-2-2-2-2-1-111-1-1112i2i−2i−2i−i−iii−i−iii2i−2i−2i2i002-2-11-1100000000−iii−i−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300000000000000
χ432-22-2-12i−2i1-11−ii−ii2222-2-2-2-2-1-111-1-1112i2i−2i−2i−i−iii−i−iii−2i2i2i−2i00-221-11-100000000i−i−ii−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300000000000000
χ442-22-2-12i−2i1-11−ii−ii2222-2-2-2-2-1-111-1-1112i2i−2i−2i−i−iii−i−iii−2i2i2i−2i00-221-11-100000000i−i−iiζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300000000000000
χ452-22-2-1−2i2i1-11i−ii−i2222-2-2-2-2-1-111-1-111−2i−2i2i2iii−i−iii−i−i2i−2i−2i2i00-221-11-100000000−iii−iζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300000000000000
χ462-22-2-1−2i2i1-11i−ii−i2222-2-2-2-2-1-111-1-111−2i−2i2i2iii−i−iii−i−i2i−2i−2i2i00-221-11-100000000−iii−i−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300000000000000
χ472-22-2-1−2i2i1-11i−ii−i2222-2-2-2-2-1-111-1-111−2i−2i2i2iii−i−iii−i−i−2i2i2i−2i002-2-11-1100000000i−i−ii−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300000000000000
χ482-22-2-1−2i2i1-11i−ii−i2222-2-2-2-2-1-111-1-111−2i−2i2i2iii−i−iii−i−i−2i2i2i−2i002-2-11-1100000000i−i−iiζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300000000000000
χ492-2-22200-2-22000022-2-222-2-222-2-2-2-22200000000000022-2-200000000002i−2i002i−2i22-2-200002i−2i−2i2i0000−2i2i2i−2i00000000000000
χ502-2-22200-2-22000022-2-222-2-222-2-2-2-22200000000000022-2-20000000000−2i2i00−2i2i22-2-20000−2i2i2i−2i00002i−2i−2i2i00000000000000
χ512-2-22200-2-22000022-2-222-2-222-2-2-2-222000000000000-2-22200000000002-200-22-2-22200002-2-2200002-2-2200000000000000
χ522-2-22200-2-22000022-2-222-2-222-2-2-2-222000000000000-2-2220000000000-22002-2-2-2220000-222-20000-222-200000000000000
χ532-2-22-10011-1−i3i3i3−i322-2-222-2-2-1-11111-1-10000−i3−i3i3i3i3i3−i3−i322-2-20000−i3i3i3−i3002i−2i002i−2i-1-111−333−3−iii−i−333−3i−i−ii00000000000000
χ542-2-22-10011-1−i3i3i3−i322-2-222-2-2-1-11111-1-10000−i3−i3i3i3i3i3−i3−i322-2-20000−i3i3i3−i300−2i2i00−2i2i-1-1113−3−33i−i−ii3−3−33−iii−i00000000000000
χ552-2-22-10011-1−i3i3i3−i322-2-222-2-2-1-11111-1-10000−i3−i3i3i3i3i3−i3−i3-2-2220000i3−i3−i3i3002-200-2211-1-1i3−i3−i3i3-111-1−i3i3i3−i3-111-100000000000000
χ562-2-22-10011-1−i3i3i3−i322-2-222-2-2-1-11111-1-10000−i3−i3i3i3i3i3−i3−i3-2-2220000i3−i3−i3i300-22002-211-1-1−i3i3i3−i31-1-11i3−i3−i3i31-1-1100000000000000
χ572-2-22-10011-1i3−i3−i3i322-2-222-2-2-1-11111-1-10000i3i3−i3−i3−i3−i3i3i322-2-20000i3−i3−i3i3002i−2i002i−2i-1-1113−3−33−iii−i3−3−33i−i−ii00000000000000
χ582-2-22-10011-1i3−i3−i3i322-2-222-2-2-1-11111-1-10000i3i3−i3−i3−i3−i3i3i322-2-20000i3−i3−i3i300−2i2i00−2i2i-1-111−333−3i−i−ii−333−3−iii−i00000000000000
χ592-2-22-10011-1i3−i3−i3i322-2-222-2-2-1-11111-1-10000i3i3−i3−i3−i3−i3i3i3-2-2220000−i3i3i3−i3002-200-2211-1-1−i3i3i3−i3-111-1i3−i3−i3i3-111-100000000000000
χ602-2-22-10011-1i3−i3−i3i322-2-222-2-2-1-11111-1-10000i3i3−i3−i3−i3−i3i3i3-2-2220000−i3i3i3−i300-22002-211-1-1i3−i3−i3i31-1-11−i3i3i3−i31-1-1100000000000000
χ61444444444444441-21-21-21-21-21-21-21-21-21-21-21-21-21-2000044000000000000000000000000000000000011-2-211-2-2000000
χ62444444444444441-21-21-21-21-21-21-21-21-21-21-21-21-21-20000-4-40000000000000000000000000000000000-1-122-1-122000000
χ6344444444444444-21-21-21-21-21-21-21-21-21-21-21-21-21-210000440000000000000000000000000000000000-2-211-2-211000000
χ6444444444444444-21-21-21-21-21-21-21-21-21-21-21-21-21-210000-4-4000000000000000000000000000000000022-1-122-1-1000000
χ6544444-4-4444-4-4-4-41-21-21-21-21-21-21-21-2-12-12-12-12-12-1200004-4000000000000000000000000000000000011-2-2-1-122000000
χ6644444-4-4444-4-4-4-41-21-21-21-21-21-21-21-2-12-12-12-12-12-120000-440000000000000000000000000000000000-1-12211-2-2000000
χ6744444-4-4444-4-4-4-4-21-21-21-21-21-21-21-212-12-12-12-12-12-100004-40000000000000000000000000000000000-2-21122-1-1000000
χ6844444-4-4444-4-4-4-4-21-21-21-21-21-21-21-212-12-12-12-12-12-10000-44000000000000000000000000000000000022-1-1-2-211000000
χ694-44-444i−4i-44-44i−4i4i−4i1-21-2-12-121-2-121-2-12i−2i−i2ii−2i−i2ii−2i−i2i00000000000000000000000000000000000000003-3003i−3i00000000
χ704-44-444i−4i-44-44i−4i4i−4i1-21-2-12-121-2-121-2-12i−2i−i2ii−2i−i2ii−2i−i2i0000000000000000000000000000000000000000-3300−3i3i00000000
χ714-44-444i−4i-44-44i−4i4i−4i-21-212-12-1-212-1-212-1−2ii2i−i−2ii2i−i−2ii2i−i0000000000000000000000000000000000000000003-3003i−3i000000
χ724-44-444i−4i-44-44i−4i4i−4i-21-212-12-1-212-1-212-1−2ii2i−i−2ii2i−i−2ii2i−i000000000000000000000000000000000000000000-3300−3i3i000000
χ734-44-44−4i4i-44-4−4i4i−4i4i1-21-2-12-121-2-121-2-12−i2ii−2i−i2ii−2i−i2ii−2i00000000000000000000000000000000000000003-300−3i3i00000000
χ744-44-44−4i4i-44-4−4i4i−4i4i1-21-2-12-121-2-121-2-12−i2ii−2i−i2ii−2i−i2ii−2i0000000000000000000000000000000000000000-33003i−3i00000000
χ754-44-44−4i4i-44-4−4i4i−4i4i-21-212-12-1-212-1-212-12i−i−2ii2i−i−2ii2i−i−2ii0000000000000000000000000000000000000000003-300−3i3i000000
χ764-44-44−4i4i-44-4−4i4i−4i4i-21-212-12-1-212-1-212-12i−i−2ii2i−i−2ii2i−i−2ii000000000000000000000000000000000000000000-33003i−3i000000
χ778888-488-4-4-4-4-4-4-42-42-42-42-4-12-12-12-122-42-4-12-12-12-12000000000000000000000000000000000000000000000000000000
χ788888-488-4-4-4-4-4-4-4-42-42-42-422-12-12-12-1-42-422-12-12-12-1000000000000000000000000000000000000000000000000000000
χ798888-4-8-8-4-4-444442-42-42-42-4-12-12-12-12-24-241-21-21-21-2000000000000000000000000000000000000000000000000000000
χ808888-4-8-8-4-4-44444-42-42-42-422-12-12-12-14-24-2-21-21-21-21000000000000000000000000000000000000000000000000000000
χ8188-8-88008-8-800002-4-24-242-42-42-4-24-24000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-88008-8-80000-424-24-2-42-42-424-24-2000000000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-400-4444343−43−432-4-24-242-4-12-121-21-200003−233−23−323−323000000000000000000000000000000000000000000000000000000
χ8488-8-8-400-4444343−43−43-424-24-2-422-12-1-21-210000−233−23323−323−3000000000000000000000000000000000000000000000000000000
χ8588-8-8-400-444−43−4343432-4-24-242-4-12-121-21-20000−323−3233−233−23000000000000000000000000000000000000000000000000000000
χ8688-8-8-400-444−43−434343-424-24-2-422-12-1-21-21000023−323−3−233−233000000000000000000000000000000000000000000000000000000
χ878-88-8-48i−8i4-44−4i4i−4i4i2-42-4-24-24-121-2-121-22i−4i−2i4i−i2ii−2i−i2ii−2i000000000000000000000000000000000000000000000000000000
χ888-88-8-48i−8i4-44−4i4i−4i4i-42-424-24-22-1-212-1-21−4i2i4i−2i2i−i−2ii2i−i−2ii000000000000000000000000000000000000000000000000000000
χ898-88-8-4−8i8i4-444i−4i4i−4i2-42-4-24-24-121-2-121-2−2i4i2i−4ii−2i−i2ii−2i−i2i000000000000000000000000000000000000000000000000000000
χ908-88-8-4−8i8i4-444i−4i4i−4i-42-424-24-22-1-212-1-214i−2i−4i2i−2ii2i−i−2ii2i−i000000000000000000000000000000000000000000000000000000
χ918-8-88800-8-8800002-4-242-4-242-4-24-242-4000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88800-8-880000-424-2-424-2-424-24-2-42000000000000000000000000000000000000000000000000000000000000000000
χ938-8-88-40044-4−4i34i34i3−4i32-4-242-4-24-121-21-2-120000−i32i3i3−2i3i3−2i3−i32i3000000000000000000000000000000000000000000000000000000
χ948-8-88-40044-4−4i34i34i3−4i3-424-2-424-22-1-21-212-100002i3−i3−2i3i3−2i3i32i3−i3000000000000000000000000000000000000000000000000000000
χ958-8-88-40044-44i3−4i3−4i34i32-4-242-4-24-121-21-2-120000i3−2i3−i32i3−i32i3i3−2i3000000000000000000000000000000000000000000000000000000
χ968-8-88-40044-44i3−4i3−4i34i3-424-2-424-22-1-21-212-10000−2i3i32i3−i32i3−i3−2i3i3000000000000000000000000000000000000000000000000000000

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