Finite Group Databasebeta

← Group #13156366

Character table — Group #13156366

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222222222444444444444444444444444668888888888121212121212121212121212121212121212121212121212121212121212121212121224242424242424242436363636363636367272727272108108
order1222333446666666661212121233366666666612121212121212121212121244366612121212121248812121212121212121212121212121212242424242424242424242424242424244121212121212121244882424242441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111
χ51111111111111111111111111111111111111111111111-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111
χ71111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111111-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ92222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-20022-2-2-2-2222222-2-2-2-20000000000000000000000000000000000000000
χ102222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2200-2-22222-2-2-2-2-2-222220000000000000000000000000000000000000000
χ11222222-12222-1222-12-122222-1-122-12-1-1-1-1-1-1-1222-1-1-1-122222-1-1-1-1-1-1-1-1-1-12002222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000222-1-1-1-1-1-100000000200-1-100
χ12222222-12222-1222-12-122222-1-122-12-1-1-1-1-1-1-1222-1-1-1-122222-1-1-1-1-1-1-1-1-1-12002222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-211111100000000-2001100
χ13222222-12222-1222-12-122222-1-122-12-1-1-1-1-1-1-1222-1-1-1-1222-2-2-1-1-1-1-1-1-1-1-1-1-200-2-2-2-21111111111110000000000000000222-1-1-1-1-1-100000000-2001100
χ14222222-12222-1222-12-122222-1-122-12-1-1-1-1-1-1-1222-1-1-1-1222-2-2-1-1-1-1-1-1-1-1-1-1-200-2-2-2-21111111111110000000000000000-2-2-211111100000000200-1-100
χ15222222-1-2-222-1222-12-1-2-2-2-22-1-122-12-1-1-1-1-111-2-2-21111-2-2-222-1-1-1-1111111-20022-2-211-1-1-1-1-1-111110000000000000000000−i3i3−i3−i3i3i300000000000−i3i300
χ16222222-1-2-222-1222-12-1-2-2-2-22-1-122-12-1-1-1-1-111-2-2-21111-2-2-222-1-1-1-1111111-20022-2-211-1-1-1-1-1-111110000000000000000000i3−i3i3i3−i3−i300000000000i3−i300
χ17222222-1-2-222-1222-12-1-2-2-2-22-1-122-12-1-1-1-1-111-2-2-21111-2-2-2-2-2-1-1-1-1111111200-2-222-1-1111111-1-1-1-10000000000000000000−i3i3−i3−i3i3i300000000000i3−i300
χ18222222-1-2-222-1222-12-1-2-2-2-22-1-122-12-1-1-1-1-111-2-2-21111-2-2-2-2-2-1-1-1-1111111200-2-222-1-1111111-1-1-1-10000000000000000000i3−i3i3i3−i3−i300000000000−i3i300
χ1922222-12222-12-1-12222-1-1-1-1-12-1-1-12-12-1-1-12222-1-1-1-1-1-12-1-122-1-1-1-122-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000022-1-1-1-10000000
χ2022222-12222-12-1-12222-1-1-1-1-12-1-1-12-12-1-1-12222-1-1-1-1-1-12-1-122-1-1-1-122-1-1-1-12-2-2-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100000000000-2-211110000000
χ2122222-12222-12-1-12222-1-1-1-1-12-1-1-12-12-1-1-12222-1-1-1-1-1-12-1-1-2-2-1-1-1-122-1-1-1-1-2221111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100000000000-2-211110000000
χ2222222-12222-12-1-12222-1-1-1-1-12-1-1-12-12-1-1-12222-1-1-1-1-1-12-1-1-2-2-1-1-1-122-1-1-1-1-2-2-21111-2-2-2-2111111111111-2-2-2-2111111110000000000022-1-1-1-10000000
χ2322222-12-2-22-12-1-122221111-12-1-1-12-12-1-1-12-2-2-2111111-21122-1-1-1-1-2-21111-200-1-111-2-222-1-1-1-1111133−3−300003333−3−3−3−3000000000000033−3−30000000
χ2422222-12-2-22-12-1-122221111-12-1-1-12-12-1-1-12-2-2-2111111-21122-1-1-1-1-2-21111-200-1-111-2-222-1-1-1-11111−3−3330000−3−3−3−333330000000000000−3−3330000000
χ2522222-12-2-22-12-1-122221111-12-1-1-12-12-1-1-12-2-2-2111111-211-2-2-1-1-1-1-2-2111120011-1-122-2-21111-1-1-1-133−3−300003333−3−3−3−30000000000000−3−3330000000
χ2622222-12-2-22-12-1-122221111-12-1-1-12-12-1-1-12-2-2-2111111-211-2-2-1-1-1-1-2-2111120011-1-122-2-21111-1-1-1-1−3−3330000−3−3−3−33333000000000000033−3−30000000
χ272222-12222-12222-12-122222-1-12-1-1-1-1-1222-122-1-1-12222-1-1-100-1-1-1-1-1-1-1-1-1-102200000000000000002222-1-1-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-1220000000-1-10000
χ282222-12222-12222-12-122222-1-12-1-1-1-1-1222-122-1-1-12222-1-1-100-1-1-1-1-1-1-1-1-1-102200000000000000002222-1-1-1-1-1-1-1-1-1-1-1-1-211-2-21111-2-20000000110000
χ292222-12222-12222-12-122222-1-12-1-1-1-1-1222-122-1-1-12222-1-1-100-1-1-1-1-1-1-1-1-1-10-2-20000000000000000-2-2-2-21111111111112-1-122-1-1-1-1-2-20000000110000
χ302222-12222-12222-12-122222-1-12-1-1-1-1-1222-122-1-1-12222-1-1-100-1-1-1-1-1-1-1-1-1-10-2-20000000000000000-2-2-2-2111111111111-211-2-21111220000000-1-10000
χ3122-2-22222-2-222-2-2-2-22-222-2-2222-2-2-2222-2-2-22-222222-2-2-2-2-2002-2-222-222-2-2000000000000000000000000000000000000000000002-200000002-20000
χ3222-2-22222-2-222-2-2-2-22-222-2-2222-2-2-2222-2-2-22-222222-2-2-2-2-2002-2-222-222-2-200000000000000000000000000000000000000000000-220000000-220000
χ3322-2-2222-22-222-2-2-2-22-2-2-222222-2-2-2222-2-2-2-22-2-2-2-2-222222002-2-22-22-2-2220000000000000000000000000000000000000000000000000000000002i−2i
χ3422-2-2222-22-222-2-2-2-22-2-2-222222-2-2-2222-2-2-2-22-2-2-2-2-222222002-2-22-22-2-222000000000000000000000000000000000000000000000000000000000−2i2i
χ3522-2-2-1222-2122-2-21-2-1-222-2-2-1-12111-1-12-2-212-2-1-1-122-2-211100-111-1-11-1-1110000000000000000000000033−3−333−3−333−3−303−3003−33−32-20000000-110000
χ3622-2-2-1222-2122-2-21-2-1-222-2-2-1-12111-1-12-2-212-2-1-1-122-2-211100-111-1-11-1-1110000000000000000000000033−3−333−3−333−3−30−3300−33−33-2200000001-10000
χ3722-2-2-1222-2122-2-21-2-1-222-2-2-1-12111-1-12-2-212-2-1-1-122-2-211100-111-1-11-1-11100000000000000000000000−3−333−3−333−3−33303−3003−33−3-2200000001-10000
χ3822-2-2-1222-2122-2-21-2-1-222-2-2-1-12111-1-12-2-212-2-1-1-122-2-211100-111-1-11-1-11100000000000000000000000−3−333−3−333−3−3330−3300−33−332-20000000-110000
χ392-2-2222200-2-2-22-222-2-200002222-2-2-2-2-22-220000000000002i−2i22-2-20000000−i2i22i−2i00002i−2i2i2i−2i−2i0000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000002−22−22−20000000
χ402-2-2222200-2-2-22-222-2-200002222-2-2-2-2-22-220000000000002i−2i22-2-20000000i2−i22i−2i00002i−2i2i2i−2i−2i0000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000−22−22−220000000
χ412-2-2222200-2-2-22-222-2-200002222-2-2-2-2-22-22000000000000−2i2i22-2-20000000−i2i2−2i2i0000−2i2i−2i−2i2i2i0000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000−22−22−220000000
χ422-2-2222200-2-2-22-222-2-200002222-2-2-2-2-22-22000000000000−2i2i22-2-20000000i2−i2−2i2i0000−2i2i−2i−2i2i2i0000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000002−22−22−20000000
χ432-2-222-1200-21-2-1122-2-23−33−3-12-1-11-21-21-1120003−33−33−303−32i−2i-1-111003−33−30−i2i2−ii−i3i3002i−2i−i−iii−i3−i3i3i3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000000000002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000
χ442-2-222-1200-21-2-1122-2-23−33−3-12-1-11-21-21-1120003−33−33−303−32i−2i-1-111003−33−30i2−i2−ii−i3i3002i−2i−i−iii−i3−i3i3i3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ2300000000000−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000
χ452-2-222-1200-21-2-1122-2-23−33−3-12-1-11-21-21-1120003−33−33−303−3−2i2i-1-111003−33−30−i2i2i−ii3−i300−2i2iii−i−ii3i3−i3−i3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ2300000000000−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000
χ462-2-222-1200-21-2-1122-2-23−33−3-12-1-11-21-21-1120003−33−33−303−3−2i2i-1-111003−33−30i2−i2i−ii3−i300−2i2iii−i−ii3i3−i3−i3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000000000002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000
χ472-2-222-1200-21-2-1122-2-2−33−33-12-1-11-21-21-112000−33−33−330−332i−2i-1-11100−33−330−i2i2−iii3−i3002i−2i−i−iiii3i3−i3−i3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000
χ482-2-222-1200-21-2-1122-2-2−33−33-12-1-11-21-21-112000−33−33−330−332i−2i-1-11100−33−330i2−i2−iii3−i3002i−2i−i−iiii3i3−i3−i3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ700000000000−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000
χ492-2-222-1200-21-2-1122-2-2−33−33-12-1-11-21-21-112000−33−33−330−33−2i2i-1-11100−33−330−i2i2i−i−i3i300−2i2iii−i−i−i3−i3i3i3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ700000000000−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000
χ502-2-222-1200-21-2-1122-2-2−33−33-12-1-11-21-21-112000−33−33−330−33−2i2i-1-11100−33−330i2−i2i−i−i3i300−2i2iii−i−i−i3−i3i3i3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000
χ5144444-2-2444-2-2-2-24-24-2-2-2-2-2-2-21-2-2-2-2-2111-2-2-24-2-211114-2-2441111-2-21111400-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000000000
χ5244444-2-2444-2-2-2-24-24-2-2-2-2-2-2-21-2-2-2-2-2111-2-2-24-2-211114-2-2-4-41111-2-21111-40022222222-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ5344444-2-2-4-44-2-2-2-24-24-22222-2-21-2-2-2-2-2111-222-422-1-1-1-1-42244111122-1-1-1-1-400-2-22222-2-21111-1-1-1-10000000000000000000000000000000000000000
χ5444444-2-2-4-44-2-2-2-24-24-22222-2-21-2-2-2-2-2111-222-422-1-1-1-1-422-4-4111122-1-1-1-140022-2-2-2-222-1-1-1-111110000000000000000000000000000000000000000
χ554444-244-4-4-24444-24-24-4-4-4-4-2-24-2-2-2-2-2444-2-4-4222-4-4-4-422200-2-2-2-222222200000000000000000000000000000000000000000000000000000000000
χ564444-24-244-24-244-2-2-2-24444-21-2-2-21-21-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2001111111111000000000000000000000000000000000004-2-2-2-21111000000000000000
χ574444-24-244-24-244-2-2-2-24444-21-2-2-21-21-2-2-21-2-2-2-2-2-2-2-2-2-2-2-200111111111100000000000000000000000000000000000-42222-1-1-1-1000000000000000
χ584444-24-2-4-4-24-244-2-2-2-2-4-4-4-4-21-2-2-21-21-2-2-21222222222222001111-1-1-1-1-1-100000000000000000000000000000000000000−2i32i3i3i3−i3−i3000000000000000
χ594444-24-2-4-4-24-244-2-2-2-2-4-4-4-4-21-2-2-21-21-2-2-21222222222222001111-1-1-1-1-1-1000000000000000000000000000000000000002i3−2i3−i3−i3i3i3000000000000000
χ604444-2-2444-2-24-2-2-24-24-2-2-2-21-2-211-21-2-2-2-2-244-211-2-2-2-2-211001111-2-211110440000000000000000-2-2-2-2-2-2-2-211111111000000000000000000000000
χ614444-2-2444-2-24-2-2-24-24-2-2-2-21-2-211-21-2-2-2-2-244-211-2-2-2-2-211001111-2-211110-4-4000000000000000022222222-1-1-1-1-1-1-1-1000000000000000000000000
χ624444-2-24-4-4-2-24-2-2-24-2422221-2-211-21-2-2-2-2-2-4-42-1-122222-1-100111122-1-1-1-100000000000000000002323−23−230000−3−3−3−33333000000000000000000000000
χ634444-2-24-4-4-2-24-2-2-24-2422221-2-211-21-2-2-2-2-2-4-42-1-122222-1-100111122-1-1-1-10000000000000000000−23−23232300003333−3−3−3−3000000000000000000000000
χ6444-4-444-24-4-44-2-4-4-424244-4-44-2-2-4-424-2-2222-22444-2-222-4-4-400-222-2-22-2-22200000000000000000000000000000000000000000000000000000000000
χ6544-4-444-2-44-44-2-4-4-4242-4-4444-2-2-4-424-2-22222-2-4-4-422-2-244400-222-22-222-2-200000000000000000000000000000000000000000000000000000000000
χ6644-4-44-244-4-4-2422-4-44-4-2-222-24-222-4-24-222-44-44-2-2-2-222-42200-222-24-4-2-22200000000000000000000000000000000000000000000000000000000000
χ6744-4-44-24-44-4-2422-4-44-422-2-2-24-222-4-24-222-4-44-42222-2-24-2-200-222-2-4422-2-200000000000000000000000000000000000000000000000000000000000
χ6844-4-44-2-24-4-4-2-222-4242-2-222-2-21222-2-21-1-12-224-2-211-1-1-422001-1-11-2211-1-1000000000003i−3i3i−3i3i−3i3i−3i0000000000000000000000000000000000000000
χ6944-4-44-2-24-4-4-2-222-4242-2-222-2-21222-2-21-1-12-224-2-211-1-1-422001-1-11-2211-1-100000000000−3i3i−3i3i−3i3i−3i3i0000000000000000000000000000000000000000
χ7044-4-44-2-2-44-4-2-222-424222-2-2-2-21222-2-21-1-122-2-422-1-1114-2-2001-1-112-2-1-111000000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000000
χ7144-4-44-2-2-44-4-2-222-424222-2-2-2-21222-2-21-1-122-2-422-1-1114-2-2001-1-112-2-1-11100000000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000
χ7244-4-4-244-44244-4-42-4-2-4-4-444-2-24222-2-24-4-42-44222-4-444-2-2-200-222-22-222-2-200000000000000000000000000000000000000000000000000000000000
χ7344-4-4-24-24-424-2-4-422-2244-4-4-21-222-1-21-222-1-22-2-2-2-2-222222001-1-111-111-1-100000000000000000000000000000000000023−2300−33−33000000000000000
χ7444-4-4-24-24-424-2-4-422-2244-4-4-21-222-1-21-222-1-22-2-2-2-2-222222001-1-111-111-1-1000000000000000000000000000000000000−2323003−33−3000000000000000
χ7544-4-4-24-2-4424-2-4-422-22-4-444-21-222-1-21-222-12-222222-2-2-2-2-2001-1-11-11-1-11100000000000000000000000000000000000000003i−3i−3i3i000000000000000
χ7644-4-4-24-2-4424-2-4-422-22-4-444-21-222-1-21-222-12-222222-2-2-2-2-2001-1-11-11-1-1110000000000000000000000000000000000000000−3i3i3i−3i000000000000000
χ7744-4-4-2-244-42-24222-4-2-4-2-2221-2-2-1-121-2-22224-4-211-2-2222-1-1001-1-11-2211-1-1000000000000000000000002323−23−23−3−333−3−333000000000000000000000000
χ7844-4-4-2-244-42-24222-4-2-4-2-2221-2-2-1-121-2-22224-4-211-2-2222-1-1001-1-11-2211-1-100000000000000000000000−23−23232333−3−333−3−3000000000000000000000000
χ7944-4-4-2-24-442-24222-4-2-422-2-21-2-2-1-121-2-2222-442-1-122-2-2-211001-1-112-2-1-11100000000000000000000000000033-3-3-3-333000000000000000000000000
χ8044-4-4-2-24-442-24222-4-2-422-2-21-2-2-1-121-2-2222-442-1-122-2-2-211001-1-112-2-1-111000000000000000000000000000-3-33333-3-3000000000000000000000000
χ814-44-4444004-4-4-44-4-4-440000444-444-4-4-4-44-4000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000
χ824-44-444-2004-42-44-42-4-200004-2-2-44-2-4222-2200000000000000-22-22000000000000023−2300000023−23−23230000000000000000000000000000000000000000
χ834-44-444-2004-42-44-42-4-200004-2-2-44-2-4222-2200000000000000-22-220000000000000−2323000000−232323−230000000000000000000000000000000000000000
χ844-44-44-240042-42-2-4-4-4423−23−2323-24-22-242-422-2-400023−2323−23−23230−232300-22-220023−23−232300000000000000000000000000000000000000000000000000000000000
χ854-44-44-240042-42-2-4-4-44−232323−23-24-22-242-422-2-4000−2323−232323−23023−2300-22-2200−232323−2300000000000000000000000000000000000000000000000000000000000
χ864-44-44-2-2004222-2-42-4-223−23−2323-2-212-2-222-1-11200023−23−333−30−2323001-11-100−333−3000000023−23003-3-33−333−30000000000000000000000000000000000000000
χ874-44-44-2-2004222-2-42-4-223−23−2323-2-212-2-222-1-11200023−23−333−30−2323001-11-100−333−30000000−232300-333-33−3−330000000000000000000000000000000000000000
χ884-44-44-2-2004222-2-42-4-2−232323−23-2-212-2-222-1-112000−23233−3−33023−23001-11-1003−3−33000000023−2300-333-3−333−30000000000000000000000000000000000000000
χ894-44-44-2-2004222-2-42-4-2−232323−23-2-212-2-222-1-112000−23233−3−33023−23001-11-1003−3−330000000−2323003-3-333−3−330000000000000000000000000000000000000000
χ904-44-4-24400-2-4-4-442-4240000-2-242-2-222-4-44200000000000000-22-2200000000000000000000000000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6000000000000000000000000
χ914-44-4-24400-2-4-4-442-4240000-2-242-2-222-4-44200000000000000-22-2200000000000000000000000000000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6000000000000000000000000
χ924-44-4-2-2400-22-42-22-42423−23−23231-2-2-11-2-1222-22000−3323−23−232303−3001-11-100−333−300000000000000000000000i6−i6−i6i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23000000000000000000000000
χ934-44-4-2-2400-22-42-22-42423−23−23231-2-2-11-2-1222-22000−3323−23−232303−3001-11-100−333−300000000000000000000000−i6i6i6−i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23000000000000000000000000
χ944-44-4-2-2400-22-42-22-424−232323−231-2-2-11-2-1222-220003−3−232323−230−33001-11-1003−3−3300000000000000000000000i6−i6−i6i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23000000000000000000000000
χ954-44-4-2-2400-22-42-22-424−232323−231-2-2-11-2-1222-220003−3−232323−230−33001-11-1003−3−3300000000000000000000000−i6i6i6−i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23000000000000000000000000
χ964-4-4444-200-4-424-44-2-4200004-2-24-42-422-22-20000000000004i−4i-2-2220000000004i−4i0000−2i2i−2i−2i2i2i00000000000000000000000000000000000000000000
χ974-4-4444-200-4-424-44-2-4200004-2-24-42-422-22-2000000000000−4i4i-2-222000000000−4i4i00002i−2i2i2i−2i−2i00000000000000000000000000000000000000000000
χ984-4-444-2-200-422-224-2-4223−2323−23-2-21-22222-11-1-200023−23−33−33023−234i−4i11-1-100−33−33000−2i2i−2i32i300−2i2iii−i−ii3i3−i3−i30000000000000000000000000000000000000000
χ994-4-444-2-200-422-224-2-4223−2323−23-2-21-22222-11-1-200023−23−33−33023−23−4i4i11-1-100−33−330002i−2i2i3−2i3002i−2i−i−iii−i3−i3i3i30000000000000000000000000000000000000000
χ1004-4-444-2-200-422-224-2-42−2323−2323-2-21-22222-11-1-2000−23233−33−30−23234i−4i11-1-1003−33−3000−2i2i2i3−2i300−2i2iii−i−i−i3−i3i3i30000000000000000000000000000000000000000
χ1014-4-444-2-200-422-224-2-42−2323−2323-2-21-22222-11-1-2000−23233−33−30−2323−4i4i11-1-1003−33−30002i−2i−2i32i3002i−2i−i−iiii3i3−i3−i30000000000000000000000000000000000000000
χ1024-4-44-244002-4-44-4-242-40000-2-24-22222-44-4-200000000000000-2-2220000000−2i22i20000000000000000−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ1034-4-44-244002-4-44-4-242-40000-2-24-22222-44-4-200000000000000-2-22200000002i2−2i200000000000000002i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ1044-4-44-2-240022-4-22-242-423−2323−231-2-21-12-122-22-2000−3323−2323−230−330011-1-100−33−330−2i22i200000000000000002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000000000000000000000000
χ1054-4-44-2-240022-4-22-242-423−2323−231-2-21-12-122-22-2000−3323−2323−230−330011-1-100−33−3302i2−2i20000000000000000−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000000000000000000000000
χ1064-4-44-2-240022-4-22-242-4−2323−23231-2-21-12-122-22-20003−3−2323−232303−30011-1-1003−33−30−2i22i200000000000000002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000000000000000
χ1074-4-44-2-240022-4-22-242-4−2323−23231-2-21-12-122-22-20003−3−2323−232303−30011-1-1003−33−302i2−2i20000000000000000−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000000000000000
χ1088888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4222222-42200-1-1-1-122-1-1-1-100000000000000000000000000000000000000000000000000000000000
χ1098888-4-4-4-8-8-4-4-4-4-4-4-4-4-44444222222222222444-2-2-2-2-2-24-2-200-1-1-1-1-2-2111100000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-48-84-4-44444-44-4-444222-2-2-2222-2-2-2-44-42222-2-24-2-200-111-12-2-1-11100000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-4-884-4-44444-4444-4-4222-2-2-2222-2-2-24-44-2-2-2-222-42200-111-1-2211-1-100000000000000000000000000000000000000000000000000000000000
χ1128-88-8-48-400-4-84-88444-40000-42-44-424-244-4-2000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-400-4444-4444-443−43−4343222-222-2-2-2-22-2000−2323−232323−23023−2300-11-11003−3−3300000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-400-4444-4444-4−434343−43222-222-2-2-2-22-200023−2323−23−23230−232300-11-1100−333−300000000000000000000000000000000000000000000000000000000000
χ1158-8-88-48-4004-848-8-4-4440000-42-4-44-24-24-4420000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-400444-44-4-44443−4343−432222-2-2-2-2-22-22000−2323−2323−23230−232300-1-111003−33−300000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-400444-44-4-444−4343−43432222-2-2-2-2-22-2200023−2323−2323−23023−2300-1-11100−33−3300000000000000000000000000000000000000000000000000000000000

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