Finite Group Databasebeta

← Group #13156541

Character table — Group #13156541

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11112222222222222222224444444444444444444444446666666666666666666666668888888888121212121212121212121212121212121212121212121212181818181818181818181818242424242424242424727272727272216
order12223334466666666612121212333666666666121212121212121212121212888888882424242424242424242424242424242436661212121212122424242424242424242424242424242424242424242424244444121212121212121241212121212121212246612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-111-1
χ61111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-11
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111111-1
χ92222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002222-2-2-2-2-2-200000000000000000000000022-2-22222-2-2-2-20000000000000000
χ102222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002222-2-2-2-2-2-2000000000000000000000000-2-222-2-2-2-222220000000000000000
χ11222222-1222-12-12-122222222-1-122-1-1-12-1-1-1-1222-1-1-1222-1-1222200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000222-1-1-1-1-1-120-1-1000
χ12222222-1222-12-12-122222222-1-122-1-1-12-1-1-1-1222-1-1-1222-1-1222200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2111111-2011000
χ13222222-1222-12-12-122222222-1-122-1-1-12-1-1-1-1222-1-1-1222-1-1-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000222-1-1-1-1-1-1-2011000
χ14222222-1222-12-12-122222222-1-122-1-1-12-1-1-1-1222-1-1-1222-1-1-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000-2-2-211111120-1-1000
χ1522222-122222-1222-1-12-1-1-1-1-12-1-1-12-1-1-12-1222-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ1622222-122222-1222-1-12-1-1-1-1-12-1-1-12-1-1-12-1222-1-1-1-122-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2111111110000000000000000
χ1722222-122222-1222-1-12-1-1-1-1-12-1-1-12-1-1-12-1222-1-1-1-122-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ1822222-122222-1222-1-12-1-1-1-1-12-1-1-12-1-1-12-1222-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-2111111112222-1-1-1-1-1-1-1-10000000000000000
χ1922222-12-2-222-1222-1-121111-12-1-1-12-1-1-12-12-2-21111-2-21111000000003333−3−3−3−33333−3−3−3−3-1-1-1-1-2-2111100003333−3−3−3−300003333−3−3−3−322-2-2-1-1-1-111110000000000000000
χ2022222-12-2-222-1222-1-121111-12-1-1-12-1-1-12-12-2-21111-2-21111000000003333−3−3−3−3−3−3−3−33333-1-1-1-1-2-2111100003333−3−3−3−30000−3−3−3−33333-2-2221111-1-1-1-10000000000000000
χ2122222-12-2-222-1222-1-121111-12-1-1-12-1-1-12-12-2-21111-2-2111100000000−3−3−3−333333333−3−3−3−3-1-1-1-1-2-211110000−3−3−3−3333300003333−3−3−3−3-2-2221111-1-1-1-10000000000000000
χ2222222-12-2-222-1222-1-121111-12-1-1-12-1-1-12-12-2-21111-2-2111100000000−3−3−3−33333−3−3−3−33333-1-1-1-1-2-211110000−3−3−3−333330000−3−3−3−3333322-2-2-1-1-1-111110000000000000000
χ232222-12222-1222-1222-12222-1-12-1-1-122-1-12-12-1-1-1222-1-1-122000022220000000022222222-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-10000000000002-1-122-1-1-1-10200-1-10
χ242222-12222-1222-1222-12222-1-12-1-1-122-1-12-12-1-1-1222-1-1-122000022220000000022222222-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000-211-2-211110-200110
χ252222-12222-1222-1222-12222-1-12-1-1-122-1-12-12-1-1-1222-1-1-1220000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000000000001111111111110000000000002-1-122-1-1-1-10-200110
χ262222-12222-1222-1222-12222-1-12-1-1-122-1-12-12-1-1-1222-1-1-1220000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1000000000000111111111111000000000000-211-2-211110200-1-10
χ2722-2-222200-2-2-2-2222-2-200002222-2-22-2-2-2-2200000000000022−2−2−i2−i2i2i222−2−222−2−2−i2−i2i2i2−i2−i2i2i222-2-200000022−2−222−2−222−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2002i−2i00002i2i−2i−2i0000000000000000
χ2822-2-222200-2-2-2-2222-2-200002222-2-22-2-2-2-2200000000000022−2−2i2i2−i2−i222−2−222−2−2i2i2−i2−i2i2i2−i2−i222-2-200000022−2−222−2−222−2−2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200−2i2i0000−2i−2i2i2i0000000000000000
χ2922-2-222200-2-2-2-2222-2-200002222-2-22-2-2-2-22000000000000−2−222−i2−i2i2i2−2−222−2−222−i2−i2i2i2−i2−i2i2i222-2-2000000−2−222−2−222−2−222−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200−2i2i0000−2i−2i2i2i0000000000000000
χ3022-2-222200-2-2-2-2222-2-200002222-2-22-2-2-2-22000000000000−2−222i2i2−i2−i2−2−222−2−222i2i2−i2−i2i2i2−i2−i222-2-2000000−2−222−2−222−2−222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2002i−2i00002i2i−2i−2i0000000000000000
χ3122-2-22-1200-2-21-222-11-233−3−3-12-1-11-2-111-212003−33−3003−33−322−2−2−i2−i2i2i2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-1-1110033−3−322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23002i−2i−i3−i3i3i3−i−iii0000000000000000
χ3222-2-22-1200-2-21-222-11-233−3−3-12-1-11-2-111-212003−33−3003−33−322−2−2i2i2−i2−i2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-1-1110033−3−322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300−2i2ii3i3−i3−i3ii−i−i0000000000000000
χ3322-2-22-1200-2-21-222-11-233−3−3-12-1-11-2-111-212003−33−3003−33−3−2−222−i2−i2i2i2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-1-1110033−3−3−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300−2i2ii3i3−i3−i3ii−i−i0000000000000000
χ3422-2-22-1200-2-21-222-11-233−3−3-12-1-11-2-111-212003−33−3003−33−3−2−222i2i2−i2−i2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-1-1110033−3−3−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23002i−2i−i3−i3i3i3−i−iii0000000000000000
χ3522-2-22-1200-2-21-222-11-2−3−333-12-1-11-2-111-21200−33−3300−33−3322−2−2−i2−i2i2i2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7-1-11100−3−33322−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7002i−2ii3i3−i3−i3−i−iii0000000000000000
χ3622-2-22-1200-2-21-222-11-2−3−333-12-1-11-2-111-21200−33−3300−33−3322−2−2i2i2−i2−i2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7-1-11100−3−33322−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700−2i2i−i3−i3i3i3ii−i−i0000000000000000
χ3722-2-22-1200-2-21-222-11-2−3−333-12-1-11-2-111-21200−33−3300−33−33−2−222−i2−i2i2i2−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7-1-11100−3−333−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700−2i2i−i3−i3i3i3ii−i−i0000000000000000
χ3822-2-22-1200-2-21-222-11-2−3−333-12-1-11-2-111-21200−33−3300−33−33−2−222i2i2−i2−i2−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7-1-11100−3−333−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7002i−2ii3i3−i3−i3−i−iii0000000000000000
χ392-22-22222-2-2-222-2-2-2-222-22-2222-2-2-2-2-2222-22-2-2-222-2222-2-22i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i000000002-2-222-22-22-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000
χ402-22-22222-2-2-222-2-2-2-222-22-2222-2-2-2-2-2222-22-2-2-222-2222-2-2−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i000000002-2-222-22-22-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000
χ412-22-2222-22-2-222-2-2-2-22-22-22222-2-2-2-2-2222-2-2222-2-22-2-2-22200002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i2-2-22-22-22-220000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ422-22-2222-22-2-222-2-2-2-22-22-22222-2-2-2-2-2222-2-2222-2-22-2-2-2220000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i2-2-22-22-22-22000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ432-22-222-12-2-212-1-21-2-222-22-22-1-1-2-21112-1-11-1-2-2-2-1-11222112i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i00000000-111-1-11-11-11−ii−ii−ii−ii−ii−ii0000000000000000000000000003−333−3−300−i3i3000
χ442-22-222-12-2-212-1-21-2-222-22-22-1-1-2-21112-1-11-1-2-2-2-1-11222112i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i00000000-111-1-11-11-11−ii−ii−ii−ii−ii−ii000000000000000000000000000−33−3−33300i3−i3000
χ452-22-222-12-2-212-1-21-2-222-22-22-1-1-2-21112-1-11-1-2-2-2-1-1122211−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i00000000-111-1-11-11-11i−ii−ii−ii−ii−ii−i0000000000000000000000000003−333−3−300i3−i3000
χ462-22-222-12-2-212-1-21-2-222-22-22-1-1-2-21112-1-11-1-2-2-2-1-1122211−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i00000000-111-1-11-11-11i−ii−ii−ii−ii−ii−i000000000000000000000000000−33−3−33300−i3i3000
χ472-22-22-122-2-2-2-12-2-2112-11-11-12-111-211-12-1-22-211-1-1-22-1-1112i−2i2i−2i0000−ii−ii−ii−ii−i3i3−i3i3i3−i3i3−i3-111-12-2-11-112i−2i2i−2i−ii−ii−ii−ii0000−i3i3−i3i3i3−i3i3−i300003−33−33−33−30000000000000000
χ482-22-22-122-2-2-2-12-2-2112-11-11-12-111-211-12-1-22-211-1-1-22-1-1112i−2i2i−2i0000−ii−ii−ii−iii3−i3i3−i3−i3i3−i3i3-111-12-2-11-112i−2i2i−2i−ii−ii−ii−ii0000i3−i3i3−i3−i3i3−i3i30000−33−33−33−330000000000000000
χ492-22-22-122-2-2-2-12-2-2112-11-11-12-111-211-12-1-22-211-1-1-22-1-111−2i2i−2i2i0000i−ii−ii−ii−i−i3i3−i3i3i3−i3i3−i3-111-12-2-11-11−2i2i−2i2ii−ii−ii−ii−i0000−i3i3−i3i3i3−i3i3−i30000−33−33−33−330000000000000000
χ502-22-22-122-2-2-2-12-2-2112-11-11-12-111-211-12-1-22-211-1-1-22-1-111−2i2i−2i2i0000i−ii−ii−ii−ii3−i3i3−i3−i3i3−i3i3-111-12-2-11-11−2i2i−2i2ii−ii−ii−ii−i0000i3−i3i3−i3−i3i3−i3i300003−33−33−33−30000000000000000
χ512-22-22-12-22-2-2-12-2-21121-11-1-12-111-211-12-1-2-22-1-1112-211-1-100002i−2i2i−2i−i3i3−i3i3i3−i3i3−i3−ii−ii−ii−ii-111-1-221-11-10000−i3i3−i3i3i3−i3i3−i32i−2i2i−2i−ii−ii−ii−ii0000−33−333−33−30000000000000000
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χ1114-4-4444-2004-2-42-42-44-400004-2-2-44-22-2-4222000000000000−2i22i22i2−2i20000−2i22i22i2−2i2−2i22i22i2−2i200000000-22-22000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000000000000000000000000000000000000000
χ1124-4-4444-2004-2-42-42-44-400004-2-2-44-22-2-42220000000000002i2−2i2−2i22i200002i2−2i2−2i22i22i2−2i2−2i22i200000000-22-22000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000000000000000000000000000000000000000
χ1134-4-444-2-2004-222-422-2-423−23−2323-2-212-2-2-1122-1200−2323−330023−233−3−2i22i22i2−2i200002ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ7000000001-11-100−333−3i2−i2−i2i2−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ70000000000000000000000000000000000000000
χ1144-4-444-2-2004-222-422-2-423−23−2323-2-212-2-2-1122-1200−2323−330023−233−32i2−2i2−2i22i20000−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7000000001-11-100−333−3−i2i2i2−i2ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ70000000000000000000000000000000000000000
χ1154-4-444-2-2004-222-422-2-4−232323−23-2-212-2-2-1122-120023−233−300−2323−33−2i22i22i2−2i200002ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ23000000001-11-1003−3−33i2−i2−i2i2−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ230000000000000000000000000000000000000000
χ1164-4-444-2-2004-222-422-2-4−232323−23-2-212-2-2-1122-120023−233−300−2323−332i2−2i2−2i22i20000−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23000000001-11-1003−3−33−i2i2i2−i2ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ230000000000000000000000000000000000000000
χ1174-4-44-24400-24-4-42-4-4420000-2-242-2-2-4422-42000000000000000022−22−22220000000022−22−222222−22−2222-22-22000000000000000000−222−2−222−2−222−20000000000000000000000000000
χ1184-4-44-24400-24-4-42-4-4420000-2-242-2-2-4422-420000000000000000−222222−2200000000−222222−22−222222−22-22-220000000000000000002−2−222−2−222−2−220000000000000000000000000000
χ1194-4-44-2-2400-242-42-42-2223−23−23231-2-2-11-22-2-1222003−323−2300−33−2323000022−22−2222000000002ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ231-11-100−333−3000000000000−222−2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ230000000000000000000000000000
χ1204-4-44-2-2400-242-42-42-2223−23−23231-2-2-11-22-2-1222003−323−2300−33−23230000−222222−2200000000−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ231-11-100−333−30000000000002−2−22ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ230000000000000000000000000000
χ1214-4-44-2-2400-242-42-42-22−232323−231-2-2-11-22-2-122200−33−2323003−323−23000022−22−2222000000002ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ71-11-1003−3−33000000000000−222−2−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ70000000000000000000000000000
χ1224-4-44-2-2400-242-42-42-22−232323−231-2-2-11-22-2-122200−33−2323003−323−230000−222222−2200000000−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ71-11-1003−3−330000000000002−2−22ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ70000000000000000000000000000
χ1238888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-42222-4-42222000000000000000000000000-1-1-1-122-1-1-1-10000000000000000000000000000000000000000000000000000
χ1248888-4-4-4-8-8-4-4-4-4-4-4-4-4-4444422222222222244-2-2-2-244-2-2-2-2000000000000000000000000-1-1-1-1-2-211110000000000000000000000000000000000000000000000000000
χ12588-8-8-48-40044-84-4-48-840000-42-4-44-2-444-24200000000000000000000000000000000000022-2-20000000000000000000000000000000000000000000000000000000000
χ12688-8-8-4-4-4004444-4-4-4444343−43−432222-2-22-2-2-2-2200−2323−232300−2323−2323000000000000000000000000-1-1110033−3−30000000000000000000000000000000000000000000000000000
χ12788-8-8-4-4-4004444-4-4-444−43−4343432222-2-22-2-2-2-220023−2323−230023−2323−23000000000000000000000000-1-11100−3−3330000000000000000000000000000000000000000000000000000
χ1288-88-8-4-4-48-844-4-44444-4-44-44222-2-2-2-2-2222-2-44-2-2224-422-2-2000000000000000000000000-111-12-2-11-110000000000000000000000000000000000000000000000000000
χ1298-88-8-4-4-4-8844-4-44444-44-44-4222-2-2-2-2-2222-24-422-2-2-44-2-222000000000000000000000000-111-1-221-11-10000000000000000000000000000000000000000000000000000
χ1308-8-88-48-400-4-4-8444-8840000-42-44-424-44-24-20000000000000000000000000000000000002-22-20000000000000000000000000000000000000000000000000000000000
χ1318-8-88-4-4-400-4-444444-4443−43−4343222-222-22-2-2-2-20023−23−232300−232323−23000000000000000000000000-11-11003−3−330000000000000000000000000000000000000000000000000000
χ1328-8-88-4-4-400-4-444444-44−434343−43222-222-22-2-2-2-200−232323−230023−23−2323000000000000000000000000-11-1100−333−30000000000000000000000000000000000000000000000000000

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