Finite Group Databasebeta

← Group #13156661

Character table — Group #13156661

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11112222222222222222224444444444444444444444446666666666666666666666668888888888121212121212121212121212121212121212121212121212181818181818181818181818242424242424242424727272727272216
order1222333446666666661212121233366666666612121212121212121212121288888888242424242424242424242424242424243666121212121212242424242424242424242424242424242424242424242424444412121212121212124121212121212121244121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ51111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111-1-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111
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
χ11222222-122222-12-1-122-1-1-1-12-1-12-1-1-1-12-1-1222-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ12222222-122222-12-1-122-1-1-1-12-1-12-1-1-1-12-1-1222-1-1-1-122-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2111111110000000000000000
χ13222222-122222-12-1-122-1-1-1-12-1-12-1-1-1-12-1-1222-1-1-1-122-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ14222222-122222-12-1-122-1-1-1-12-1-12-1-1-1-12-1-1222-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-2111111112222-1-1-1-1-1-1-1-10000000000000000
χ15222222-1-2-2222-12-1-12211112-1-12-1-1-1-12-1-12-2-21111-2-21111000000003333−3−3−3−33333−3−3−3−3-1-1-1-1-2-2111100003333−3−3−3−300003333−3−3−3−322-2-2-1-1-1-111110000000000000000
χ16222222-1-2-2222-12-1-12211112-1-12-1-1-1-12-1-12-2-21111-2-21111000000003333−3−3−3−3−3−3−3−33333-1-1-1-1-2-2111100003333−3−3−3−30000−3−3−3−33333-2-2221111-1-1-1-10000000000000000
χ17222222-1-2-2222-12-1-12211112-1-12-1-1-1-12-1-12-2-21111-2-2111100000000−3−3−3−333333333−3−3−3−3-1-1-1-1-2-211110000−3−3−3−3333300003333−3−3−3−3-2-2221111-1-1-1-10000000000000000
χ18222222-1-2-2222-12-1-12211112-1-12-1-1-1-12-1-12-2-21111-2-2111100000000−3−3−3−33333−3−3−3−33333-1-1-1-1-2-211110000−3−3−3−333330000−3−3−3−3333322-2-2-1-1-1-111110000000000000000
χ1922222-122222-12-122-122222-12-1-122-1-1-12-1-12-122-1-12-122-1-1000022220000000022222222-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-10000000000002-1-122-1-1-1-102-1-1000
χ2022222-122222-12-122-122222-12-1-122-1-1-12-1-12-122-1-12-122-1-1000022220000000022222222-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000-211-2-211110-211000
χ2122222-122222-12-122-122222-12-1-122-1-1-12-1-12-122-1-12-122-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000000000001111111111110000000000002-1-122-1-1-1-10-211000
χ2222222-122222-12-122-122222-12-1-122-1-1-12-1-12-122-1-12-122-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1000000000000111111111111000000000000-211-2-2111102-1-1000
χ232222-12222-1-1222222-12222-1-12-1-1-122-1-12-1-12-1-122-12-1-122222200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000222-1-1-1-1-1-12000-1-10
χ242222-12222-1-1222222-12222-1-12-1-1-122-1-12-1-12-1-122-12-1-122222200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2111111-2000110
χ252222-12222-1-1222222-12222-1-12-1-1-122-1-12-1-12-1-122-12-1-122-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000222-1-1-1-1-1-1-2000110
χ262222-12222-1-1222222-12222-1-12-1-1-122-1-12-1-12-1-122-12-1-122-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000-2-2-21111112000-1-10
χ2722-2-22222-2-2222-2-2-2-2-222-2-2222-2-2-2-2-2222-22-222-2-2-22-2-222000022-2-20000000022-2-222-2-22-2-222-222-2-200000000000022-2-222-2-222-2-20000000000000000000000000000
χ2822-2-22222-2-2222-2-2-2-2-222-2-2222-2-2-2-2-2222-22-222-2-2-22-2-2220000-2-22200000000-2-222-2-2222-2-222-222-2-2000000000000-2-222-2-222-2-2220000000000000000000000000000
χ2922-2-2222-22-2222-2-2-2-2-2-2-222222-2-2-2-2-2222-2-22-2-2222-222-2-222-2-2000022-2-222-2-2000000002-2-22-22-2-22222-2-222-2-222-2-20000000000000000000000000000000000000000
χ3022-2-2222-22-2222-2-2-2-2-2-2-222222-2-2-2-2-2222-2-22-2-2222-222-2-2-2-2220000-2-222-2-222000000002-2-22-22-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000
χ3122-2-222-12-2-222-1-211-2-2-1-1112-1-1-211112-1-1-22-2-1-111-2211-1-1000022-2-233−3−3−3−333-1-111-1-111-111-12-2-1-111000033−3−3−3−33322-2-2-1-111-1-111000033−3−333−3−30000000000000000
χ3222-2-222-12-2-222-1-211-2-2-1-1112-1-1-211112-1-1-22-2-1-111-2211-1-1000022-2-2−3−33333−3−3-1-111-1-111-111-12-2-1-1110000−3−33333−3−322-2-2-1-111-1-1110000−3−333−3−3330000000000000000
χ3322-2-222-12-2-222-1-211-2-2-1-1112-1-1-211112-1-1-22-2-1-111-2211-1-10000-2-22233−3−3−3−33311-1-111-1-1-111-12-2-1-111000033−3−3−3−333-2-22211-1-111-1-10000−3−333−3−3330000000000000000
χ3422-2-222-12-2-222-1-211-2-2-1-1112-1-1-211112-1-1-22-2-1-111-2211-1-10000-2-222−3−33333−3−311-1-111-1-1-111-12-2-1-1110000−3−33333−3−3-2-22211-1-111-1-1000033−3−333−3−30000000000000000
χ3522-2-222-1-22-222-1-211-2-211-1-12-1-1-211112-1-1-2-2211-1-12-2-1-11122-2-20000-1-111-1-11133−3−3−3−333-111-1-2211-1-122-2-2-1-111-1-111000033−3−3−3−3330000−3−33333−3−30000000000000000
χ3622-2-222-1-22-222-1-211-2-211-1-12-1-1-211112-1-1-2-2211-1-12-2-1-11122-2-20000-1-111-1-111−3−33333−3−3-111-1-2211-1-122-2-2-1-111-1-1110000−3−33333−3−3000033−3−3−3−3330000000000000000
χ3722-2-222-1-22-222-1-211-2-211-1-12-1-1-211112-1-1-2-2211-1-12-2-1-111-2-222000011-1-111-1-133−3−3−3−333-111-1-2211-1-1-2-22211-1-111-1-1000033−3−3−3−333000033−3−3−3−3330000000000000000
χ3822-2-222-1-22-222-1-211-2-211-1-12-1-1-211112-1-1-2-2211-1-12-2-1-111-2-222000011-1-111-1-1−3−33333−3−3-111-1-2211-1-1-2-22211-1-111-1-10000−3−33333−3−30000−3−33333−3−30000000000000000
χ3922-2-22-122-2-22-121-2-21-222-2-2-12-11-2-211-12-11212211-2-1-2-2-1-1000022-2-20000000022-2-222-2-2-111-1-11-1-111000000000000-1-111-1-111-1-11100000000000003−30033−3−3003−3000
χ4022-2-22-122-2-22-121-2-21-222-2-2-12-11-2-211-12-11212211-2-1-2-2-1-1000022-2-20000000022-2-222-2-2-111-1-11-1-111000000000000-1-111-1-111-1-1110000000000000−3300−3−33300−33000
χ4122-2-22-122-2-22-121-2-21-222-2-2-12-11-2-211-12-11212211-2-1-2-2-1-10000-2-22200000000-2-222-2-222-111-1-11-1-11100000000000011-1-111-1-111-1-100000000000003−30033−3−300−33000
χ4222-2-22-122-2-22-121-2-21-222-2-2-12-11-2-211-12-11212211-2-1-2-2-1-10000-2-22200000000-2-222-2-222-111-1-11-1-11100000000000011-1-111-1-111-1-10000000000000−3300−3−333003−3000
χ4322-2-2-122-221-122-2-2-2-21-2-222-1-12111-2-2-1-121121122-1-2-1-1-2-222-2-2000022-2-222-2-200000000-111-11-111-1-1-1-111-1-111-1-1110000000000000000000000000003−33−33−300003−30
χ4422-2-2-122-221-122-2-2-2-21-2-222-1-12111-2-2-1-121121122-1-2-1-1-2-222-2-2000022-2-222-2-200000000-111-11-111-1-1-1-111-1-111-1-111000000000000000000000000000−33−33−330000−330
χ4522-2-2-122-221-122-2-2-2-21-2-222-1-12111-2-2-1-121121122-1-2-1-1-2-2-2-2220000-2-222-2-22200000000-111-11-111-1-111-1-111-1-111-1-10000000000000000000000000003−33−33−30000−330
χ4622-2-2-122-221-122-2-2-2-21-2-222-1-12111-2-2-1-121121122-1-2-1-1-2-2-2-2220000-2-222-2-22200000000-111-11-111-1-111-1-111-1-111-1-1000000000000000000000000000−33−33−3300003−30
χ472-22-222200-2-2-2-222-2-220000222-22-22-2-2-2-220000000000002−22−2−i2i2−i2i22−22−22−22−2−i2i2−i2i2−i2i2−i2i222-2-20000002−22−22−22−22−22−2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2002i−2i00002i−2i2i−2i0000000000000000
χ482-22-222200-2-2-2-222-2-220000222-22-22-2-2-2-220000000000002−22−2i2−i2i2−i22−22−22−22−2i2−i2i2−i2i2−i2i2−i222-2-20000002−22−22−22−22−22−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200−2i2i0000−2i2i−2i2i0000000000000000
χ492-22-222200-2-2-2-222-2-220000222-22-22-2-2-2-22000000000000−22−22−i2i2−i2i2−22−22−22−22−i2i2−i2i2−i2i2−i2i222-2-2000000−22−22−22−22−22−22−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200−2i2i0000−2i2i−2i2i0000000000000000
χ502-22-222200-2-2-2-222-2-220000222-22-22-2-2-2-22000000000000−22−22i2−i2i2−i2−22−22−22−22i2−i2i2−i2i2−i2i2−i222-2-2000000−22−22−22−22−22−22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2002i−2i00002i−2i2i−2i0000000000000000
χ512-22-222-100-2-2-212-11-223−33−32-1-1-2-11-11-2112003−33−3003−33−32−22−2−i2i2−i2i2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23-1-111003−33−32−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23002i−2i−i3i3−i3i3−ii−ii0000000000000000
χ522-22-222-100-2-2-212-11-223−33−32-1-1-2-11-11-2112003−33−3003−33−32−22−2i2−i2i2−i2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23-1-111003−33−32−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ2300−2i2ii3−i3i3−i3i−ii−i0000000000000000
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χ542-22-222-100-2-2-212-11-223−33−32-1-1-2-11-11-2112003−33−3003−33−3−22−22i2−i2i2−i2−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23-1-111003−33−3−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23002i−2i−i3i3−i3i3−ii−ii0000000000000000
χ552-22-222-100-2-2-212-11-22−33−332-1-1-2-11-11-211200−33−3300−33−332−22−2−i2i2−i2i2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7-1-11100−33−332−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7002i−2ii3−i3i3−i3−ii−ii0000000000000000
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χ1134-4-444-2-2004-42222-2-2-423−23−2323-2-21-22-2-1122-120023−233−300−2323−330000−2i22i22i2−2i2000000002ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ231-11-100−333−3000000000000i2−i2−i2i2−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ230000000000000000000000000000
χ1144-4-444-2-2004-42222-2-2-423−23−2323-2-21-22-2-1122-120023−233−300−2323−3300002i2−2i2−2i22i200000000−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ231-11-100−333−3000000000000−i2i2i2−i2ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ230000000000000000000000000000
χ1154-4-444-2-2004-42222-2-2-4−232323−23-2-21-22-2-1122-1200−2323−330023−233−30000−2i22i22i2−2i2000000002ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ71-11-1003−3−33000000000000i2−i2−i2i2−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ70000000000000000000000000000
χ1164-4-444-2-2004-42222-2-2-4−232323−23-2-21-22-2-1122-1200−2323−330023−233−300002i2−2i2−2i22i200000000−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ71-11-1003−3−33000000000000−i2i2i2−i2ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ70000000000000000000000000000
χ1174-4-44-24400-22-4-4-4-44420000-2-24-22-2-4422-4200000000000022−22−2222000022−22−222222−22−222200000000-22-22000000−222−2−222−2−222−20000000000000000000000000000000000000000
χ1184-4-44-24400-22-4-4-4-44420000-2-24-22-2-4422-42000000000000−222222−220000−222222−22−222222−2200000000-22-220000002−2−222−2−222−2−220000000000000000000000000000000000000000
χ1194-4-44-24-200-22-42-42-24223−23−2323-21-2-2-112-22-12200−33−2323003−323−2322−22−222200002ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ7000000001-11-100−333−3−222−2−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ70000000000000000000000000000000000000000
χ1204-4-44-24-200-22-42-42-24223−23−2323-21-2-2-112-22-12200−33−2323003−323−23−222222−220000−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7000000001-11-100−333−32−2−22ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ70000000000000000000000000000000000000000
χ1214-4-44-24-200-22-42-42-242−232323−23-21-2-2-112-22-122003−323−2300−33−232322−22−222200002ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ23000000001-11-1003−3−33−222−2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ230000000000000000000000000000000000000000
χ1224-4-44-24-200-22-42-42-242−232323−23-21-2-2-112-22-122003−323−2300−33−2323−222222−220000−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23000000001-11-1003−3−332−2−22ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ230000000000000000000000000000000000000000
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
χ12588-8-8-4-4-48-84-4-4-444444-4-444222-2-2-2-2-2222-2-4422-2-24-4-2-222000000000000000000000000-111-12-2-1-1110000000000000000000000000000000000000000000000000000
χ12688-8-8-4-4-4-884-4-4-44444444-4-4222-2-2-2-2-2222-24-4-2-222-4422-2-2000000000000000000000000-111-1-2211-1-10000000000000000000000000000000000000000000000000000
χ1278-88-8-4-4800444-8-48-84-400002-4-4-2-44-44-244200000000000000000000000000000000000022-2-20000000000000000000000000000000000000000000000000000000000
χ1288-88-8-4-4-4004444-4-444-443−4343−43222-22-22-2-2-2-2200−2323−232300−2323−2323000000000000000000000000-1-111003−33−30000000000000000000000000000000000000000000000000000
χ1298-88-8-4-4-4004444-4-444-4−4343−4343222-22-22-2-2-2-220023−2323−230023−2323−23000000000000000000000000-1-11100−33−330000000000000000000000000000000000000000000000000000
χ1308-8-88-4-4800-444-84-88-4400002-4-424-44-4-244-20000000000000000000000000000000000002-22-20000000000000000000000000000000000000000000000000000000000
χ1318-8-88-4-4-400-444444-4-4443−43−43432222-22-22-2-2-2-200−232323−230023−23−2323000000000000000000000000-11-11003−3−330000000000000000000000000000000000000000000000000000
χ1328-8-88-4-4-400-444444-4-44−434343−432222-22-22-2-2-2-20023−23−232300−232323−23000000000000000000000000-11-1100−333−30000000000000000000000000000000000000000000000000000

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