Finite Group Databasebeta

← Group #13156005

Character table — Group #13156005

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222222222444444444444444444444444668888888888121212121212121212121212121212121212121212121212121212121212121212121224242424242424242436363636363636367272727272108108
order12223334466666666612121212333666666666121212121212121212121212443666121212121212488121212121212121212121212121212122424242424242424242424242424242441212121212121212228824242424466121244
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
χ92222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2002222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ102222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2200-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ11222222-122-1-122222-1222222-1-1-1-1-1-12-122-1-1222222-1-1-1-1-100-1-1-1-1-1-1-1-1-1-102200000000000000002222-1-1-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-1220000000-1-10000
χ12222222-122-1-122222-1222222-1-1-1-1-1-12-122-1-1222222-1-1-1-1-100-1-1-1-1-1-1-1-1-1-102200000000000000002222-1-1-1-1-1-1-1-1-1-1-1-1-211-2-21111-2-20000000110000
χ13222222-122-1-122222-1222222-1-1-1-1-1-12-122-1-1222222-1-1-1-1-100-1-1-1-1-1-1-1-1-1-10-2-20000000000000000-2-2-2-21111111111112-1-122-1-1-1-1-2-20000000110000
χ14222222-122-1-122222-1222222-1-1-1-1-1-12-122-1-1222222-1-1-1-1-100-1-1-1-1-1-1-1-1-1-10-2-20000000000000000-2-2-2-2111111111111-211-2-21111220000000-1-10000
χ1522222-122222222-1-12-12222-12-122-1-1-12-1-1-12-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-120022-1-122-1-1-1-1-1-1-1-1-1-10000000000000000222-1-1-1-1-1-100000000200-1-100
χ1622222-122222222-1-12-12222-12-122-1-1-12-1-1-12-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-120022-1-122-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-211111100000000-2001100
χ1722222-122222222-1-12-12222-12-122-1-1-12-1-1-12-1-1-1-1-1-122222-2-2-1-1-1-1-1-1-1-1-1-1-200-2-211-2-211111111110000000000000000222-1-1-1-1-1-100000000-2001100
χ1822222-122222222-1-12-12222-12-122-1-1-12-1-1-12-1-1-1-1-1-122222-2-2-1-1-1-1-1-1-1-1-1-1-200-2-211-2-211111111110000000000000000-2-2-211111100000000200-1-100
χ1922222-12-2-222222-1-12-1-2-2-2-2-12-122-1-1-12-1-1-1-2111111-2-2-2-2-222-1-1-1-1111111-20022-1-1-2-211-1-1-1-111110000000000000000000−i3i3−i3−i3i3i300000000000−i3i300
χ2022222-12-2-222222-1-12-1-2-2-2-2-12-122-1-1-12-1-1-1-2111111-2-2-2-2-222-1-1-1-1111111-20022-1-1-2-211-1-1-1-111110000000000000000000i3−i3i3i3−i3−i300000000000i3−i300
χ2122222-12-2-222222-1-12-1-2-2-2-2-12-122-1-1-12-1-1-1-2111111-2-2-2-2-2-2-2-1-1-1-1111111200-2-21122-1-11111-1-1-1-10000000000000000000−i3i3−i3−i3i3i300000000000i3−i300
χ2222222-12-2-222222-1-12-1-2-2-2-2-12-122-1-1-12-1-1-1-2111111-2-2-2-2-2-2-2-1-1-1-1111111200-2-21122-1-11111-1-1-1-10000000000000000000i3−i3i3i3−i3−i300000000000−i3i300
χ232222-1222222-1-1-12222-1-1-1-1-1-12-1-122-1-1-1-12222-1-1-1-1-1-12-1-122-1-1-1-122-1-1-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000022-1-1-1-10000000
χ242222-1222222-1-1-12222-1-1-1-1-1-12-1-122-1-1-1-12222-1-1-1-1-1-12-1-122-1-1-1-122-1-1-1-12-2-2-1-122-1-122-1-1-1-1-1-1-1-11111-2-2-2-21111111100000000000-2-211110000000
χ252222-1222222-1-1-12222-1-1-1-1-1-12-1-122-1-1-1-12222-1-1-1-1-1-12-1-1-2-2-1-1-1-122-1-1-1-1-22211-2-211-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100000000000-2-211110000000
χ262222-1222222-1-1-12222-1-1-1-1-1-12-1-122-1-1-1-12222-1-1-1-1-1-12-1-1-2-2-1-1-1-122-1-1-1-1-2-2-211-2-211-2-2111111111111-2-2-2-2111111110000000000022-1-1-1-10000000
χ272222-122-2-222-1-1-122221111-1-12-1-122-1-1-1-12-2-2-2111111-21122-1-1-1-1-2-21111-200-1-12211-2-2-1-1-1-1111133−3−300003333−3−3−3−3000000000000033−3−30000000
χ282222-122-2-222-1-1-122221111-1-12-1-122-1-1-1-12-2-2-2111111-21122-1-1-1-1-2-21111-200-1-12211-2-2-1-1-1-11111−3−3330000−3−3−3−333330000000000000−3−3330000000
χ292222-122-2-222-1-1-122221111-1-12-1-122-1-1-1-12-2-2-2111111-211-2-2-1-1-1-1-2-2111120011-2-2-1-1221111-1-1-1-133−3−300003333−3−3−3−30000000000000−3−3330000000
χ302222-122-2-222-1-1-122221111-1-12-1-122-1-1-1-12-2-2-2111111-211-2-2-1-1-1-1-2-2111120011-2-2-1-1221111-1-1-1-1−3−3330000−3−3−3−33333000000000000033−3−30000000
χ312-22-22222-2-2-22-2-2-2-22222-2-2222-2-2-2-222-2-2222-222-2-222-2-2-2002-2-222-222-2-20000000000000000000000000000000000000000000000000000000002i−2i
χ322-22-22222-2-2-22-2-2-2-22222-2-2222-2-2-2-222-2-2222-222-2-222-2-2-2002-2-222-222-2-2000000000000000000000000000000000000000000000000000000000−2i2i
χ332-22-2222-22-2-22-2-2-2-222-2-222222-2-2-2-222-2-22-2-22-2-222-2-2222002-2-22-22-2-222000000000000000000000000000000000000000000002-200000002-20000
χ342-22-2222-22-2-22-2-2-2-222-2-222222-2-2-2-222-2-22-2-22-2-222-2-2222002-2-22-22-2-22200000000000000000000000000000000000000000000-220000000-220000
χ352-22-222-1-22112-2-2-2-2-12-2-2222-1-111112-1-2-2-11-22-2-22211-1-1-100-111-11-111-1-100000000000000000000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30−i3i300−i3i3−i3i32-20000000-110000
χ362-22-222-1-22112-2-2-2-2-12-2-2222-1-111112-1-2-2-11-22-2-22211-1-1-100-111-11-111-1-100000000000000000000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30i3−i300i3−i3i3−i3-2200000001-10000
χ372-22-222-1-22112-2-2-2-2-12-2-2222-1-111112-1-2-2-11-22-2-22211-1-1-100-111-11-111-1-100000000000000000000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30−i3i300−i3i3−i3i3-2200000001-10000
χ382-22-222-1-22112-2-2-2-2-12-2-2222-1-111112-1-2-2-11-22-2-22211-1-1-100-111-11-111-1-100000000000000000000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30i3−i300i3−i3i3−i32-20000000-110000
χ392-2-22222002-2-22-22-2-2-200002222-22-2-2-22-2-20000000000002-222-2-20000000−i2i22-22-2000022-2-20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000−i2i2−i2i2−i2i20000000
χ402-2-22222002-2-22-22-2-2-200002222-22-2-2-22-2-20000000000002-222-2-20000000i2−i22-22-2000022-2-20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000i2−i2i2−i2i2−i20000000
χ412-2-22222002-2-22-22-2-2-200002222-22-2-2-22-2-2000000000000-2222-2-20000000−i2i2-22-220000-2-2220000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000i2−i2i2−i2i2−i20000000
χ422-2-22222002-2-22-22-2-2-200002222-22-2-2-22-2-2000000000000-2222-2-20000000i2−i2-22-220000-2-2220000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000−i2i2−i2i2−i2i20000000
χ432-2-22-122002-21-112-2-2-23−33−3-1-12-112-211-11-20003−33−33−303−32-2-1-111003−33−30−i2i2-112-23−300-1-11133−3−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ2300000000000−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000
χ442-2-22-122002-21-112-2-2-23−33−3-1-12-112-211-11-20003−33−33−303−32-2-1-111003−33−30i2−i2-112-23−300-1-11133−3−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ2300000000000i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000
χ452-2-22-122002-21-112-2-2-23−33−3-1-12-112-211-11-20003−33−33−303−3-22-1-111003−33−30−i2i21-1-22−330011-1-1−3−333ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ2300000000000i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000
χ462-2-22-122002-21-112-2-2-23−33−3-1-12-112-211-11-20003−33−33−303−3-22-1-111003−33−30i2−i21-1-22−330011-1-1−3−333−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ2300000000000−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000
χ472-2-22-122002-21-112-2-2-2−33−33-1-12-112-211-11-2000−33−33−330−332-2-1-11100−33−330−i2i2-112-2−3300-1-111−3−333ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ700000000000−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000
χ482-2-22-122002-21-112-2-2-2−33−33-1-12-112-211-11-2000−33−33−330−332-2-1-11100−33−330i2−i2-112-2−3300-1-111−3−333−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ700000000000i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000
χ492-2-22-122002-21-112-2-2-2−33−33-1-12-112-211-11-2000−33−33−330−33-22-1-11100−33−330−i2i21-1-223−30011-1-133−3−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ700000000000i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000
χ502-2-22-122002-21-112-2-2-2−33−33-1-12-112-211-11-2000−33−33−330−33-22-1-11100−33−330i2−i21-1-223−30011-1-133−3−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ700000000000−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000
χ51444444-2-4-4-2-244444-24-4-4-4-44-2-2-2-2-2-24-244-22-4-4-4-4-4-42222200-2-2-2-222222200000000000000000000000000000000000000000000000000000000000
χ5244444-2-244-2-2444-2-2-2-24444-2-21-2-211-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2001111111111000000000000000000000000000000000004-2-2-2-21111000000000000000
χ5344444-2-244-2-2444-2-2-2-24444-2-21-2-211-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-200111111111100000000000000000000000000000000000-42222-1-1-1-1000000000000000
χ5444444-2-2-4-4-2-2444-2-2-2-2-4-4-4-4-2-21-2-211-2-2-2-21222222222222001111-1-1-1-1-1-100000000000000000000000000000000000000−2i32i3i3i3−i3−i3000000000000000
χ5544444-2-2-4-4-2-2444-2-2-2-2-4-4-4-4-2-21-2-211-2-2-2-21222222222222001111-1-1-1-1-1-1000000000000000000000000000000000000002i3−2i3−i3−i3i3i3000000000000000
χ564444-24-244-2-2-2-2-244-24-2-2-2-2-21-211-2-2-21-2-2-2-244-2-2-2-211-211001111-2-211110440000000000000000-2-2-2-2-2-2-2-211111111000000000000000000000000
χ574444-24-244-2-2-2-2-244-24-2-2-2-2-21-211-2-2-21-2-2-2-244-2-2-2-211-211001111-2-211110-4-4000000000000000022222222-1-1-1-1-1-1-1-1000000000000000000000000
χ584444-24-2-4-4-2-2-2-2-244-242222-21-211-2-2-21-2-2-22-4-42222-1-12-1-100111122-1-1-1-100000000000000000002323−23−230000−3−3−3−33333000000000000000000000000
χ594444-24-2-4-4-2-2-2-2-244-242222-21-211-2-2-21-2-2-22-4-42222-1-12-1-100111122-1-1-1-10000000000000000000−23−23232300003333−3−3−3−3000000000000000000000000
χ604444-2-244444-2-2-2-2-24-2-2-2-2-21-2-2-2-2-2-21-211-24-2-21111-2-24-2-2441111-2-21111400-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000000000
χ614444-2-244444-2-2-2-2-24-2-2-2-2-21-2-2-2-2-2-21-211-24-2-21111-2-24-2-2-4-41111-2-21111-40022222222-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ624444-2-24-4-444-2-2-2-2-24-222221-2-2-2-2-2-21-211-2-422-1-1-1-122-42244111122-1-1-1-1-400-2-2-2-222221111-1-1-1-10000000000000000000000000000000000000000
χ634444-2-24-4-444-2-2-2-2-24-222221-2-2-2-2-2-21-211-2-422-1-1-1-122-422-4-4111122-1-1-1-14002222-2-2-2-2-1-1-1-111110000000000000000000000000000000000000000
χ6444-4-444400-44-4-44-44-4-40000444-44-44-4-4-44-4000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000
χ6544-4-444-2002-2-4-44-442-400004-2-22-22-2-42-44200000000000000-22-22000000000000000000000000000006−6−666−6−666−6−66000000000000000000000000
χ6644-4-444-2002-2-4-44-442-400004-2-22-22-2-42-44200000000000000-22-2200000000000000000000000000000−666−6−666−6−666−6000000000000000000000000
χ6744-4-44-2400-44-4-442-2-420000-24-2-442-22-42-2200000000000000-22-22000000000000000−2i32i30000−2i32i3−2i32i30000000000000000000000000000000000000000
χ6844-4-44-2400-44-4-442-2-420000-24-2-442-22-42-2200000000000000-22-220000000000000002i3−2i300002i3−2i32i3−2i30000000000000000000000000000000000000000
χ6944-4-4-24400-4422-2-44-4-423−23−2323-2-242-2-44222-2-400023−23−232323−230−232300-22-220023−23−232300000000000000000000000000000000000000000000000000000000000
χ7044-4-4-24400-4422-2-44-4-4−232323−23-2-242-2-44222-2-4000−232323−23−2323023−2300-22-2200−232323−2300000000000000000000000000000000000000000000000000000000000
χ7144-4-4-24-2002-222-2-442-423−23−2323-21-2-112-22-12-2200023−23−2323−3303−3001-11-100−333−3000000000000000000000006−6−66−2ζ5+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
χ7244-4-4-24-2002-222-2-442-423−23−2323-21-2-112-22-12-2200023−23−2323−3303−3001-11-100−333−300000000000000000000000−666−62ζ5−2ζ7+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
χ7344-4-4-24-2002-222-2-442-4−232323−23-21-2-112-22-12-22000−232323−233−30−33001-11-1003−3−33000000000000000000000006−6−66ζ5−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
χ7444-4-4-24-2002-222-2-442-4−232323−23-21-2-112-22-12-22000−232323−233−30−33001-11-1003−3−3300000000000000000000000−666−6−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
χ7544-4-4-2-2400-4422-22-2-4223−23−23231-2-22-22-2-12-112000−333−323−230−2323001-11-100−333−3000000000−2i32i33i−3i3i−3ii3−i3i3−i30000000000000000000000000000000000000000
χ7644-4-4-2-2400-4422-22-2-4223−23−23231-2-22-22-2-12-112000−333−323−230−2323001-11-100−333−30000000002i3−2i3−3i3i−3i3i−i3i3−i3i30000000000000000000000000000000000000000
χ7744-4-4-2-2400-4422-22-2-42−232323−231-2-22-22-2-12-1120003−3−33−2323023−23001-11-1003−3−33000000000−2i32i3−3i3i−3i3ii3−i3i3−i30000000000000000000000000000000000000000
χ7844-4-4-2-2400-4422-22-2-42−232323−231-2-22-22-2-12-1120003−3−33−2323023−23001-11-1003−3−330000000002i3−2i33i−3i3i−3i−i3i3−i3i30000000000000000000000000000000000000000
χ794-44-444-24-4224-4-4-4-4-2444-4-44-2-222224-2-4-4-2-24-444-4-4-2-222200-222-2-22-2-22200000000000000000000000000000000000000000000000000000000000
χ804-44-44-244-4-4-44-4-4224-244-4-4-24-2-4-422-2422-24-22-2-22244-4-4-400-222-2-22-2-22200000000000000000000000000000000000000000000000000000000000
χ814-44-44-24-44-4-44-4-4224-2-4-444-24-2-4-422-2422-2-42-222-2-2-4-444400-222-22-222-2-200000000000000000000000000000000000000000000000000000000000
χ824-44-44-2-24-4224-4-422-2-244-4-4-2-2122-1-1-2-2221-2-22-2-222-2-2222001-1-111-111-1-100000000000000000000000000000000000000003-3-33000000000000000
χ834-44-44-2-24-4224-4-422-2-244-4-4-2-2122-1-1-2-2221-2-22-2-222-2-2222001-1-111-111-1-10000000000000000000000000000000000000000-333-3000000000000000
χ844-44-44-2-2-44224-4-422-2-2-4-444-2-2122-1-1-2-222122-222-2-222-2-2-2001-1-11-11-1-111000000000000000000000000000000000000−2i32i300i3−i3i3−i3000000000000000
χ854-44-44-2-2-44224-4-422-2-2-4-444-2-2122-1-1-2-222122-222-2-222-2-2-2001-1-11-11-1-1110000000000000000000000000000000000002i3−2i300−i3i3−i3i3000000000000000
χ864-44-4-2444-4-4-4-222-4-444-2-222-2-2422-4-4-2-222444-4-2-222-2-2-42200-222-24-4-2-22200000000000000000000000000000000000000000000000000000000000
χ874-44-4-244-44-4-4-222-4-44422-2-2-2-2422-4-4-2-2224-4-4422-2-2224-2-200-222-2-4422-2-200000000000000000000000000000000000000000000000000000000000
χ884-44-4-24-24-422-222-4-4-24-2-222-21-2-1-122-2122-2-24-4-2-222112-1-1001-1-11-2211-1-10000000000000000000000000003i3i−3i−3i−3i−3i3i3i000000000000000000000000
χ894-44-4-24-24-422-222-4-4-24-2-222-21-2-1-122-2122-2-24-4-2-222112-1-1001-1-11-2211-1-1000000000000000000000000000−3i−3i3i3i3i3i−3i−3i000000000000000000000000
χ904-44-4-24-2-4422-222-4-4-2422-2-2-21-2-1-122-2122-22-4422-2-2-1-1-211001-1-112-2-1-11100000000000000000000000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000
χ914-44-4-24-2-4422-222-4-4-2422-2-2-21-2-1-122-2122-22-4422-2-2-1-1-211001-1-112-2-1-111000000000000000000000002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000
χ924-44-4-2-244-4-4-4-222224-2-2-2221-2-222221-2-1-1-24-2211-1-1-2-2-422001-1-11-2211-1-1000000000003i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000
χ934-44-4-2-244-4-4-4-222224-2-2-2221-2-222221-2-1-1-24-2211-1-1-2-2-422001-1-11-2211-1-100000000000−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000
χ944-44-4-2-24-44-4-4-222224-222-2-21-2-222221-2-1-1-2-42-2-1-111224-2-2001-1-112-2-1-111000000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000
χ954-44-4-2-24-44-4-4-222224-222-2-21-2-222221-2-1-1-2-42-2-1-111224-2-2001-1-112-2-1-11100000000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000
χ964-4-4444-200-22-44-44-42-400004-2-2-22-22-424-4200000000000000-2-2220000000−2i22i20000000000000000−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ974-4-4444-200-22-44-44-42-400004-2-2-22-22-424-4200000000000000-2-22200000002i2−2i200000000000000002i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ984-4-444-24004-4-44-4-22-420000-24-24-4-222-4-2220000000000004-4-2-2220000000004-4-220000-2-22200000000000000000000000000000000000000000000
χ994-4-444-24004-4-44-4-22-420000-24-24-4-222-4-222000000000000-44-2-222000000000-442-2000022-2-200000000000000000000000000000000000000000000
χ1004-4-44-24-200-222-224-42-423−2323−23-21-21-1-222-1-22200023−2323−23−330−330011-1-100−33−330−2i22i200000000000000002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000000000000000000000000
χ1014-4-44-24-200-222-224-42-423−2323−23-21-21-1-222-1-22200023−2323−23−330−330011-1-100−33−3302i2−2i20000000000000000−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000000000000000000000000
χ1024-4-44-24-200-222-224-42-4−2323−2323-21-21-1-222-1-222000−2323−23233−303−30011-1-1003−33−30−2i22i200000000000000002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000000000000000
χ1034-4-44-24-200-222-224-42-4−2323−2323-21-21-1-222-1-222000−2323−23233−303−30011-1-1003−33−302i2−2i20000000000000000−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000000000000000
χ1044-4-44-2-24004-42-22-22-4223−2323−231-2-2-22-22-121-12000−33−3323−23023−234-411-1-100−33−33000-22-2223−230011-1-1−3−3330000000000000000000000000000000000000000
χ1054-4-44-2-24004-42-22-22-4223−2323−231-2-2-22-22-121-12000−33−3323−23023−23-4411-1-100−33−330002-22-2−232300-1-11133−3−30000000000000000000000000000000000000000
χ1064-4-44-2-24004-42-22-22-42−2323−23231-2-2-22-22-121-120003−33−3−23230−23234-411-1-1003−33−3000-22-22−23230011-1-133−3−30000000000000000000000000000000000000000
χ1074-4-44-2-24004-42-22-22-42−2323−23231-2-2-22-22-121-120003−33−3−23230−2323-4411-1-1003−33−30002-22-223−2300-1-111−3−3330000000000000000000000000000000000000000
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
χ11088-8-88-4-4004-4-8-884-4440000-4-424-4-22444-4-2000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-4004-444-44-44443−43−4343222-22-22-2-2-22-2000−232323−23−2323023−2300-11-11003−3−3300000000000000000000000000000000000000000000000000000000000
χ11288-8-8-4-4-4004-444-44-444−434343−43222-22-22-2-2-22-200023−23−232323−230−232300-11-1100−333−300000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-48-844-44444-4-4-4-444222-2-2-2-222-2-22-4-4422-2-2224-2-200-111-12-2-1-11100000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4-8844-44444-4-444-4-4222-2-2-2-222-2-2244-4-2-222-2-2-42200-111-1-2211-1-100000000000000000000000000000000000000000000000000000000000
χ1158-8-888-4-400-44-88-8-44440000-4-42-442-244-44-20000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-400-444-44-444443−4343−432222-22-2-2-22-2-2000−2323−2323−23230−232300-1-111003−33−300000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-400-444-44-4444−4343−43432222-22-2-2-22-2-200023−2323−2323−23023−2300-1-11100−33−3300000000000000000000000000000000000000000000000000000000000

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