Finite Group Databasebeta

← Group #13167649

Character table — Group #13167649

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222888888888888888888888888999918181818181818181818181818181818181818181818181818181818181818181818108108108108108108108108
order1244368812122424242433366612121212121224242424242424242424242422444444668888881212121212121212121224242424242424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111
χ8111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-1
χ911-1-111i−i-1-1ii−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i11-1-111-1-111i−iii−i−i1111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1-11-1i−ii−i
χ1011-1-111i−i-1-1ii−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i11-1-111-1-111i−iii−i−i1111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-11-11−ii−ii
χ1111-1-111i−i-1-1ii−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i11-1-1-1-11111i−i−i−iii-1-1-1-11111-1-1ii−i−i−i−i−i−iiiii1-1-11i−i−ii
χ1211-1-111i−i-1-1ii−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i11-1-1-1-11111i−i−i−iii-1-1-1-11111-1-1ii−i−i−i−i−i−iiiii-111-1−iii−i
χ1311-1-111−ii-1-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii11-1-111-1-111−ii−i−iii1111-1-1-1-1-1-1−i−iii−i−i−i−iiiii1-11-1−ii−ii
χ1411-1-111−ii-1-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii11-1-111-1-111−ii−i−iii1111-1-1-1-1-1-1−i−iii−i−i−i−iiiii-11-11i−ii−i
χ1511-1-111−ii-1-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii11-1-1-1-11111−iiii−i−i-1-1-1-11111-1-1−i−iiiiiii−i−i−i−i1-1-11−iii−i
χ1611-1-111−ii-1-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii11-1-1-1-11111−iiii−i−i-1-1-1-11111-1-1−i−iiiiiii−i−i−i−i-111-1i−i−ii
χ1722222222222222222222222222222222222222-2-2-2-20000-2-2-2-2000000000000-2-2-2-2-2-20000000000000000
χ18222222-2-222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-222000000000000-2-222220000000000000000
χ192222-1-122-1-1-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-122-1-1-1-122222222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ202222-1-122-1-1-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-122-1-1-1-12222-2-2-2-2-1-122-2-2-2-211111111-1-1-1-1-1-11111111100000000
χ212222-1-122-1-1-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2000011-2-2000033−3−333−3−311111133−3−333−3−300000000
χ222222-1-122-1-1-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2000011-2-20000−3−333−3−333111111−3−333−3−33300000000
χ232222-1-1-2-2-1-111112-1-12-1-122-1-1-1-1-2-21111-2-2111122222222-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111100000000
χ242222-1-1-2-2-1-111112-1-12-1-122-1-1-1-1-2-21111-2-211112222-2-2-2-2-1-1-2-2222211111111-1-11111-1-1-1-1-1-1-1-100000000
χ252222-1-1-2-2-1-111112-1-12-1-122-1-1-1-1-2-21111-2-21111-2-2-2-200001122000033−3−333−3−311-1-1-1-1−3−333−3−33300000000
χ262222-1-1-2-2-1-111112-1-12-1-122-1-1-1-1-2-21111-2-21111-2-2-2-2000011220000−3−333−3−33311-1-1-1-133−3−333−3−300000000
χ2722-2-2222i−2i-2-22i2i−2i−2i222222-2-2-2-2-2-22i2i2i2i2i2i−2i−2i−2i−2i−2i−2i-2-2220000-2-2−2i2i00000000000022−2i−2i2i2i0000000000000000
χ2822-2-222−2i2i-2-2−2i−2i2i2i222222-2-2-2-2-2-2−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i-2-2220000-2-22i−2i000000000000222i2i−2i−2i0000000000000000
χ2922-2-2-1-12i−2i11−i−iii2-1-12-1-1-2-211112i2i−i−i−i−i−2i−2iiiii22-2-222-2-2-1-12i−2i2i2i−2i−2i-1-1-1-1111111−i−iii−i−i−i−iiiii00000000
χ3022-2-2-1-12i−2i11−i−iii2-1-12-1-1-2-211112i2i−i−i−i−i−2i−2iiiii22-2-2-2-222-1-12i−2i−2i−2i2i2i1111-1-1-1-111−i−iiiiiii−i−i−i−i00000000
χ3122-2-2-1-12i−2i11−i−iii2-1-12-1-1-2-211112i2i−i−i−i−i−2i−2iiiii-2-222000011−2i2i000033−3−3−3−333-1-1ii−i−ii3i3−i3−i3−i3−i3i3i300000000
χ3222-2-2-1-12i−2i11−i−iii2-1-12-1-1-2-211112i2i−i−i−i−i−2i−2iiiii-2-222000011−2i2i0000−3−33333−3−3-1-1ii−i−i−i3−i3i3i3i3i3−i3−i300000000
χ3322-2-2-1-1−2i2i11ii−i−i2-1-12-1-1-2-21111−2i−2iiiii2i2i−i−i−i−i22-2-222-2-2-1-1−2i2i−2i−2i2i2i-1-1-1-1111111ii−i−iiiii−i−i−i−i00000000
χ3422-2-2-1-1−2i2i11ii−i−i2-1-12-1-1-2-21111−2i−2iiiii2i2i−i−i−i−i22-2-2-2-222-1-1−2i2i2i2i−2i−2i1111-1-1-1-111ii−i−i−i−i−i−iiiii00000000
χ3522-2-2-1-1−2i2i11ii−i−i2-1-12-1-1-2-21111−2i−2iiiii2i2i−i−i−i−i-2-2220000112i−2i000033−3−3−3−333-1-1−i−iii−i3−i3i3i3i3i3−i3−i300000000
χ3622-2-2-1-1−2i2i11ii−i−i2-1-12-1-1-2-21111−2i−2iiiii2i2i−i−i−i−i-2-2220000112i−2i0000−3−33333−3−3-1-1−i−iiii3i3−i3−i3−i3−i3i3i300000000
χ372-22i−2i2-2002i−2i0000222-2-2-22i−2i2i2i−2i−2i0000000000002-22i−2i00002-2002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000002i−2i00002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000
χ382-22i−2i2-2002i−2i0000222-2-2-22i−2i2i2i−2i−2i0000000000002-22i−2i00002-200−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000002i−2i0000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000
χ392-22i−2i2-2002i−2i0000222-2-2-22i−2i2i2i−2i−2i000000000000-22−2i2i2i−2i2-2-220000002i−2i2i−2i2-22-2−2i2i00000000000000000000
χ402-22i−2i2-2002i−2i0000222-2-2-22i−2i2i2i−2i−2i000000000000-22−2i2i−2i2i-22-22000000−2i2i−2i2i-22-22−2i2i00000000000000000000
χ412-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ132-1-1-2112i−2i−i−iii00−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ132-22i−2i0000-11002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−i3i3i3−i3−333−3−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ1300000000
χ422-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ132-1-1-2112i−2i−i−iii00−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ132-22i−2i0000-1100−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13i3−i3−i3i33−3−33−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ1300000000
χ432-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ132-1-1-2112i−2i−i−iii00−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13-22−2i2i2i−2i2-21-1000000−ii−ii-11-11i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ2300000000
χ442-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ132-1-1-2112i−2i−i−iii00−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13-22−2i2i−2i2i-221-1000000i−ii−i1-11-1i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ2300000000
χ452-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ132-1-1-2112i−2i−i−iii00ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ2300−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ132-22i−2i0000-11002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13i3−i3−i3i33−3−33−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ1300000000
χ462-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ132-1-1-2112i−2i−i−iii00ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ2300−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ132-22i−2i0000-1100−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−i3i3i3−i3−333−3−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ1300000000
χ472-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ132-1-1-2112i−2i−i−iii00ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ2300−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13-22−2i2i2i−2i2-21-1000000−ii−ii-11-11i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ2300000000
χ482-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ132-1-1-2112i−2i−i−iii00ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ2300−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13-22−2i2i−2i2i-221-1000000i−ii−i1-11-1i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ2300000000
χ492-2−2i2i2-200−2i2i0000222-2-2-2−2i2i−2i−2i2i2i0000000000002-2−2i2i00002-200−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000−2i2i0000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000
χ502-2−2i2i2-200−2i2i0000222-2-2-2−2i2i−2i−2i2i2i0000000000002-2−2i2i00002-2002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000−2i2i00002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000
χ512-2−2i2i2-200−2i2i0000222-2-2-2−2i2i−2i−2i2i2i000000000000-222i−2i2i−2i-22-220000002i−2i2i−2i-22-222i−2i00000000000000000000
χ522-2−2i2i2-200−2i2i0000222-2-2-2−2i2i−2i−2i2i2i000000000000-222i−2i−2i2i2-2-22000000−2i2i−2i2i2-22-22i−2i00000000000000000000
χ532-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ232-1-1-211−2i2iii−i−i00ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ1300−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ232-2−2i2i0000-1100−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23i3−i3−i3i3−333−3i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ2300000000
χ542-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ232-1-1-211−2i2iii−i−i00ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ1300−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ232-2−2i2i0000-11002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−i3i3i3−i33−3−33i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ2300000000
χ552-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ232-1-1-211−2i2iii−i−i00ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ1300−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23-222i−2i2i−2i-221-1000000−ii−ii1-11-1−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ1300000000
χ562-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ232-1-1-211−2i2iii−i−i00ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ1300−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23-222i−2i−2i2i2-21-1000000i−ii−i-11-11−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ1300000000
χ572-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ232-1-1-211−2i2iii−i−i00−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ1300ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ232-2−2i2i0000-1100−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−i3i3i3−i33−3−33i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ2300000000
χ582-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ232-1-1-211−2i2iii−i−i00−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ1300ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ232-2−2i2i0000-11002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23i3−i3−i3i3−333−3i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ2300000000
χ592-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ232-1-1-211−2i2iii−i−i00−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ1300ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23-222i−2i2i−2i-221-1000000−ii−ii1-11-1−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ1300000000
χ602-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ232-1-1-211−2i2iii−i−i00−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ1300ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23-222i−2i−2i2i2-21-1000000i−ii−i-11-11−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ1300000000
χ6188888888888888-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000
χ62888888-8-888-8-8-8-8-1-1-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000000000000000000000000000
χ638888-4-488-4-4-4-4-4-4-11−3i321+3i32-11−3i321+3i32-1-11−3i321+3i321−3i321+3i32-1-11−3i321+3i321−3i321+3i32-1-11−3i321+3i321−3i321+3i320000000000000000000000000000000000000000000000
χ648888-4-488-4-4-4-4-4-4-11+3i321−3i32-11+3i321−3i32-1-11+3i321−3i321+3i321−3i32-1-11+3i321−3i321+3i321−3i32-1-11+3i321−3i321+3i321−3i320000000000000000000000000000000000000000000000
χ658888-4-4-8-8-4-44444-11−3i321+3i32-11−3i321+3i32-1-11−3i321+3i321−3i321+3i3211−1+3i32−1−3i32−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i320000000000000000000000000000000000000000000000
χ668888-4-4-8-8-4-44444-11+3i321−3i32-11+3i321−3i32-1-11+3i321−3i321+3i321−3i3211−1−3i32−1+3i32−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i320000000000000000000000000000000000000000000000
χ6788-8-8888i−8i-8-88i8i−8i−8i-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiii0000000000000000000000000000000000000000000000
χ6888-8-888−8i8i-8-8−8i−8i8i8i-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i0000000000000000000000000000000000000000000000
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χ7088-8-8-4-48i−8i44−4i−4i4i4i-11+3i321−3i32-11+3i321−3i3211−1−3i32−1+3i32−1−3i32−1+3i32−i−iζ14−2ζ22−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22ii−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ222ζ14−ζ220000000000000000000000000000000000000000000000
χ7188-8-8-4-4−8i8i444i4i−4i−4i-11−3i321+3i32-11−3i321+3i3211−1+3i32−1−3i32−1+3i32−1−3i32ii2ζ14−ζ22−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ22−i−i−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22ζ14−2ζ220000000000000000000000000000000000000000000000
χ7288-8-8-4-4−8i8i444i4i−4i−4i-11+3i321−3i32-11+3i321−3i3211−1−3i32−1+3i32−1−3i32−1+3i32ii−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ222ζ14−ζ22−i−iζ14−2ζ22−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ220000000000000000000000000000000000000000000000
χ738-88i−8i8-8008i−8i0000-1-1-1111−ii−i−iii3ζ7+3ζ23−3ζ7−3ζ233ζ7+3ζ23−3ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ23−3ζ5−3ζ133ζ5+3ζ133ζ5+3ζ13−3ζ5−3ζ13−3ζ5−3ζ133ζ5+3ζ130000000000000000000000000000000000000000000000
χ748-88i−8i8-8008i−8i0000-1-1-1111−ii−i−iii−3ζ7−3ζ233ζ7+3ζ23−3ζ7−3ζ233ζ7+3ζ233ζ7+3ζ23−3ζ7−3ζ233ζ5+3ζ13−3ζ5−3ζ13−3ζ5−3ζ133ζ5+3ζ133ζ5+3ζ13−3ζ5−3ζ130000000000000000000000000000000000000000000000
χ758-88i−8i-4400−4i4i−4ζ7+4ζ234ζ7−4ζ234ζ5−4ζ13−4ζ5+4ζ13-11−3i321+3i321−1+3i32−1−3i32−ii−2ζ14+ζ22ζ14−2ζ222ζ14−ζ22−ζ14+2ζ223ζ7+3ζ23−3ζ7−3ζ23−ζ7−2ζ232ζ7+ζ23ζ7+2ζ23−2ζ7−ζ23−3ζ5−3ζ133ζ5+3ζ13−2ζ5−ζ13ζ5+2ζ132ζ5+ζ13−ζ5−2ζ130000000000000000000000000000000000000000000000
χ768-88i−8i-4400−4i4i−4ζ7+4ζ234ζ7−4ζ234ζ5−4ζ13−4ζ5+4ζ13-11+3i321−3i321−1−3i32−1+3i32−iiζ14−2ζ22−2ζ14+ζ22−ζ14+2ζ222ζ14−ζ22−3ζ7−3ζ233ζ7+3ζ232ζ7+ζ23−ζ7−2ζ23−2ζ7−ζ23ζ7+2ζ233ζ5+3ζ13−3ζ5−3ζ13ζ5+2ζ13−2ζ5−ζ13−ζ5−2ζ132ζ5+ζ130000000000000000000000000000000000000000000000
χ778-88i−8i-4400−4i4i4ζ7−4ζ23−4ζ7+4ζ23−4ζ5+4ζ134ζ5−4ζ13-11−3i321+3i321−1+3i32−1−3i32−ii−2ζ14+ζ22ζ14−2ζ222ζ14−ζ22−ζ14+2ζ22−3ζ7−3ζ233ζ7+3ζ23ζ7+2ζ23−2ζ7−ζ23−ζ7−2ζ232ζ7+ζ233ζ5+3ζ13−3ζ5−3ζ132ζ5+ζ13−ζ5−2ζ13−2ζ5−ζ13ζ5+2ζ130000000000000000000000000000000000000000000000
χ788-88i−8i-4400−4i4i4ζ7−4ζ23−4ζ7+4ζ23−4ζ5+4ζ134ζ5−4ζ13-11+3i321−3i321−1−3i32−1+3i32−iiζ14−2ζ22−2ζ14+ζ22−ζ14+2ζ222ζ14−ζ223ζ7+3ζ23−3ζ7−3ζ23−2ζ7−ζ23ζ7+2ζ232ζ7+ζ23−ζ7−2ζ23−3ζ5−3ζ133ζ5+3ζ13−ζ5−2ζ132ζ5+ζ13ζ5+2ζ13−2ζ5−ζ130000000000000000000000000000000000000000000000
χ798-8−8i8i8-800−8i8i0000-1-1-1111i−iii−i−i−3ζ5−3ζ133ζ5+3ζ13−3ζ5−3ζ133ζ5+3ζ133ζ5+3ζ13−3ζ5−3ζ133ζ7+3ζ23−3ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ233ζ7+3ζ23−3ζ7−3ζ230000000000000000000000000000000000000000000000
χ808-8−8i8i8-800−8i8i0000-1-1-1111i−iii−i−i3ζ5+3ζ13−3ζ5−3ζ133ζ5+3ζ13−3ζ5−3ζ13−3ζ5−3ζ133ζ5+3ζ13−3ζ7−3ζ233ζ7+3ζ233ζ7+3ζ23−3ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ230000000000000000000000000000000000000000000000
χ818-8−8i8i-44004i−4i4ζ5−4ζ13−4ζ5+4ζ13−4ζ7+4ζ234ζ7−4ζ23-11−3i321+3i321−1+3i32−1−3i32i−i2ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ223ζ5+3ζ13−3ζ5−3ζ13−2ζ5−ζ13ζ5+2ζ132ζ5+ζ13−ζ5−2ζ13−3ζ7−3ζ233ζ7+3ζ23−ζ7−2ζ232ζ7+ζ23ζ7+2ζ23−2ζ7−ζ230000000000000000000000000000000000000000000000
χ828-8−8i8i-44004i−4i4ζ5−4ζ13−4ζ5+4ζ13−4ζ7+4ζ234ζ7−4ζ23-11+3i321−3i321−1−3i32−1+3i32i−i−ζ14+2ζ222ζ14−ζ22ζ14−2ζ22−2ζ14+ζ22−3ζ5−3ζ133ζ5+3ζ13ζ5+2ζ13−2ζ5−ζ13−ζ5−2ζ132ζ5+ζ133ζ7+3ζ23−3ζ7−3ζ232ζ7+ζ23−ζ7−2ζ23−2ζ7−ζ23ζ7+2ζ230000000000000000000000000000000000000000000000
χ838-8−8i8i-44004i−4i−4ζ5+4ζ134ζ5−4ζ134ζ7−4ζ23−4ζ7+4ζ23-11−3i321+3i321−1+3i32−1−3i32i−i2ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ22−3ζ5−3ζ133ζ5+3ζ132ζ5+ζ13−ζ5−2ζ13−2ζ5−ζ13ζ5+2ζ133ζ7+3ζ23−3ζ7−3ζ23ζ7+2ζ23−2ζ7−ζ23−ζ7−2ζ232ζ7+ζ230000000000000000000000000000000000000000000000
χ848-8−8i8i-44004i−4i−4ζ5+4ζ134ζ5−4ζ134ζ7−4ζ23−4ζ7+4ζ23-11+3i321−3i321−1−3i32−1+3i32i−i−ζ14+2ζ222ζ14−ζ22ζ14−2ζ22−2ζ14+ζ223ζ5+3ζ13−3ζ5−3ζ13−ζ5−2ζ132ζ5+ζ13ζ5+2ζ13−2ζ5−ζ13−3ζ7−3ζ233ζ7+3ζ23−2ζ7−ζ23ζ7+2ζ232ζ7+ζ23−ζ7−2ζ230000000000000000000000000000000000000000000000

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