Finite Group Databasebeta

← Group #13156584

Character table — Group #13156584

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11112222222222222222224444444444444444444444446666666666666666666666668888888888121212121212121212121212121212121212121212121212181818181818181818181818242424242424242424727272727272216
order12223334466666666612121212333666666666121212121212121212121212888888882424242424242424242424242424242436661212121212122424242424242424242424242424242424242424242424244444121212121212121226666666644121212122
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
χ11222222-12222-1-12222-122222-1-122-1-1-1-12-1-12-122-1-12-122-1-1000022220000000022222222-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000222-1-1-1-1-1-10200-1-10
χ12222222-12222-1-12222-122222-1-122-1-1-1-12-1-12-122-1-12-122-1-1000022220000000022222222-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-21111110-200110
χ13222222-12222-1-12222-122222-1-122-1-1-1-12-1-12-122-1-12-122-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1000000000000111111111111000000000000222-1-1-1-1-1-10-200110
χ14222222-12222-1-12222-122222-1-122-1-1-1-12-1-12-122-1-12-122-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1000000000000111111111111000000000000-2-2-21111110200-1-10
χ1522222-1222-1-122222-122222-12-1-1-122-1-1-12-1-12-1-122-12-1-122222200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002-1-122-1-1-1-120-1-1000
χ1622222-1222-1-122222-122222-12-1-1-122-1-1-12-1-12-1-122-12-1-122222200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-211-2-21111-2011000
χ1722222-1222-1-122222-122222-12-1-1-122-1-1-12-1-12-1-122-12-1-122-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000002-1-122-1-1-1-1-2011000
χ1822222-1222-1-122222-122222-12-1-1-122-1-1-12-1-12-1-122-12-1-122-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000-211-2-2111120-1-1000
χ192222-122222222-1-1-122-1-1-1-1-1-12-1-1-1-122-1-1222-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ202222-122222222-1-1-122-1-1-1-1-1-12-1-1-1-122-1-1222-1-1-1-122-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2111111110000000000000000
χ212222-122222222-1-1-122-1-1-1-1-1-12-1-1-1-122-1-1222-1-1-1-122-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ222222-122222222-1-1-122-1-1-1-1-1-12-1-1-1-122-1-1222-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-2111111112222-1-1-1-1-1-1-1-10000000000000000
χ232222-122-2-22222-1-1-1221111-1-12-1-1-1-122-1-12-2-21111-2-21111000000003333−3−3−3−33333−3−3−3−3-1-1-1-1-2-2111100003333−3−3−3−300003333−3−3−3−322-2-2-1-1-1-111110000000000000000
χ242222-122-2-22222-1-1-1221111-1-12-1-1-1-122-1-12-2-21111-2-21111000000003333−3−3−3−3−3−3−3−33333-1-1-1-1-2-2111100003333−3−3−3−30000−3−3−3−33333-2-2221111-1-1-1-10000000000000000
χ252222-122-2-22222-1-1-1221111-1-12-1-1-1-122-1-12-2-21111-2-2111100000000−3−3−3−333333333−3−3−3−3-1-1-1-1-2-211110000−3−3−3−3333300003333−3−3−3−3-2-2221111-1-1-1-10000000000000000
χ262222-122-2-22222-1-1-1221111-1-12-1-1-1-122-1-12-2-21111-2-2111100000000−3−3−3−33333−3−3−3−33333-1-1-1-1-2-211110000−3−3−3−333330000−3−3−3−3333322-2-2-1-1-1-111110000000000000000
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χ3122-2-2-122002-22-21-11-2-233−3−3-1-12-11-112-211-2003−33−3003−33−3−i2−i2i2i2−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7-1-1110033−3−3−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7002-233−3−3-1-1110000000000000000
χ3222-2-2-122002-22-21-11-2-233−3−3-1-12-11-112-211-2003−33−3003−33−3−i2−i2i2i2i2i2−i2−i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7-1-1110033−3−3−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700-22−3−33311-1-10000000000000000
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χ3422-2-2-122002-22-21-11-2-233−3−3-1-12-11-112-211-2003−33−3003−33−3i2i2−i2−i2i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7-1-1110033−3−3i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7002-233−3−3-1-1110000000000000000
χ3522-2-2-122002-22-21-11-2-2−3−333-1-12-11-112-211-200−33−3300−33−33−i2−i2i2i2−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-1-11100−3−333−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23002-2−3−333-1-1110000000000000000
χ3622-2-2-122002-22-21-11-2-2−3−333-1-12-11-112-211-200−33−3300−33−33−i2−i2i2i2i2i2−i2−i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-1-11100−3−333−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300-2233−3−311-1-10000000000000000
χ3722-2-2-122002-22-21-11-2-2−3−333-1-12-11-112-211-200−33−3300−33−33i2i2−i2−i2−i2−i2i2i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-1-11100−3−333i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300-2233−3−311-1-10000000000000000
χ3822-2-2-122002-22-21-11-2-2−3−333-1-12-11-112-211-200−33−3300−33−33i2i2−i2−i2i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-1-11100−3−333i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23002-2−3−333-1-1110000000000000000
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χ432-22-2-12200-22-2211-1-2-23−33−3-1-121-11-1-2211-2003−3−3300−333−3−i2i2−i2i2−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−ζ7-11-11003−33−3−i2i2−i2i2ζ13+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−ζ72-200-11-113−33−30000000000000000
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χ1044-44-4-24-200-442-222-2-42−2323−2323-21-22-2-112-22-1200−2323−330023−233−300002i2−2i22i2−2i200000000−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ231-11-1003−33−3000000000000−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ230000000000000000000000000000
χ1054-44-4-2-24002-2-4422-22-423−2323−231-2-2-112-22-2-12200−33−2323003−323−23−2i22i2−2i22i200002ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ7000000001-11-100−33−33i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ70000000000000000000000000000000000000000
χ1064-44-4-2-24002-2-4422-22-423−2323−231-2-2-112-22-2-12200−33−2323003−323−232i2−2i22i2−2i20000−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7000000001-11-100−33−33−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ70000000000000000000000000000000000000000
χ1074-44-4-2-24002-2-4422-22-4−2323−23231-2-2-112-22-2-122003−323−2300−33−2323−2i22i2−2i22i200002ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ23000000001-11-1003−33−3i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ230000000000000000000000000000000000000000
χ1084-44-4-2-24002-2-4422-22-4−2323−23231-2-2-112-22-2-122003−323−2300−33−23232i2−2i22i2−2i20000−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23000000001-11-1003−33−3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ230000000000000000000000000000000000000000
χ1094-4-4444-2-44-4-4224-4-44-2-444-44-2-2-4-422224-2-2-4-2-4-4-2-2424422000000000000000000000000-222-22-22-2-220000000000000000000000000000000000000000000000000000
χ1104-4-444-244-422-4-44-4-4-244-4-44-24-222-4-422-24-2-2-4-2-2-4-4242244000000000000000000000000-222-2-22-222-20000000000000000000000000000000000000000000000000000
χ1114-4-444-2-24-422224-4-4-2-24-4-44-2-212222-1-1-2-21-22-2-2222-222-2-20000000000000000000000001-1-111-11-1-11000000000000000000000000000000000000000−2i32i3i3i3−i3−i30000000
χ1124-4-444-2-24-422224-4-4-2-24-4-44-2-212222-1-1-2-21-22-2-2222-222-2-20000000000000000000000001-1-111-11-1-110000000000000000000000000000000000000002i3−2i3−i3−i3i3i30000000
χ1134-4-444-2-2-4422224-4-4-2-2-444-4-2-212222-1-1-2-212-222-2-2-22-2-2220000000000000000000000001-1-11-11-111-10000000000000000000000000000000000000−2i32i300i3−i3i3−i30000000
χ1144-4-444-2-2-4422224-4-4-2-2-444-4-2-212222-1-1-2-212-222-2-2-22-2-2220000000000000000000000001-1-11-11-111-100000000000000000000000000000000000002i3−2i300−i3i3−i3i30000000
χ1154-4-44-24-24-4-4-422-2224-2-222-2-21-222-1-122-21-242-2-2-1-1-4-2221100004-4-4400000000-222-2-222-21-1-11-221-1-11000000000000-222-21-1-111-1-110000000000000000000000000000
χ1164-4-44-24-24-4-4-422-2224-2-222-2-21-222-1-122-21-242-2-2-1-1-4-222110000-444-4000000002-2-222-2-221-1-11-221-1-110000000000002-2-22-111-1-111-10000000000000000000000000000
χ1174-4-44-24-2-44-4-422-2224-22-2-22-21-222-1-122-21-2-4-2221142-2-2-1-1000000000000000023−23−2323−232323−231-1-112-2-111-10000000000000000−333−33−3−330000000000000000000000000000
χ1184-4-44-24-2-44-4-422-2224-22-2-22-21-222-1-122-21-2-4-2221142-2-2-1-10000000000000000−232323−2323−23−23231-1-112-2-111-100000000000000003−3−33−333−30000000000000000000000000000
χ1194-4-44-2-244-422-4-4-222-24-222-21-2-2-1-122221-2-2-2-4112224-1-1-2-20000000023−23−2323−232323−23000000001-1-11-221-1-110000−333−33−3−330000000000000000000000000000000000000000
χ1204-4-44-2-244-422-4-4-222-24-222-21-2-2-1-122221-2-2-2-4112224-1-1-2-200000000−232323−2323−23−2323000000001-1-11-221-1-1100003−3−33−333−30000000000000000000000000000000000000000
χ1214-4-44-2-24-4422-4-4-222-242-2-221-2-2-1-122221-2-224-1-1-2-2-2-411224-4-440000-222-2-222-2000000001-1-112-2-111-1-222-21-1-111-1-110000000000000000000000000000000000000000
χ1224-4-44-2-24-4422-4-4-222-242-2-221-2-2-1-122221-2-224-1-1-2-2-2-41122-444-400002-2-222-2-22000000001-1-112-2-111-12-2-22-111-1-111-10000000000000000000000000000000000000000
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
χ12588-8-88-4-400-44-44-88-8440000-4-42-44-442-244-200000000000000000000000000000000000022-2-20000000000000000000000000000000000000000000000000000000000
χ12688-8-8-4-4-400-44-444-44444343−43−432222-22-22-2-2-2-200−2323−232300−2323−2323000000000000000000000000-1-1110033−3−30000000000000000000000000000000000000000000000000000
χ12788-8-8-4-4-400-44-444-4444−43−4343432222-22-22-2-2-2-20023−2323−230023−2323−23000000000000000000000000-1-11100−3−3330000000000000000000000000000000000000000000000000000
χ1288-88-88-4-4004-44-4-8-88440000-4-424-44-4-2244-20000000000000000000000000000000000002-22-20000000000000000000000000000000000000000000000000000000000
χ1298-88-8-4-4-4004-44-444-44443−4343−43222-22-22-22-2-2-200−232323−230023−23−2323000000000000000000000000-11-11003−33−30000000000000000000000000000000000000000000000000000
χ1308-88-8-4-4-4004-44-444-444−4343−4343222-22-22-22-2-2-20023−23−232300−232323−23000000000000000000000000-11-1100−33−330000000000000000000000000000000000000000000000000000
χ1318-8-88-4-4-48-84444-444-4-4-444-4222-2-2-2-2-2-2222-4422-2-24-4-2-222000000000000000000000000-111-12-2-111-10000000000000000000000000000000000000000000000000000
χ1328-8-88-4-4-4-884444-444-4-44-4-44222-2-2-2-2-2-22224-4-2-222-4422-2-2000000000000000000000000-111-1-221-1-110000000000000000000000000000000000000000000000000000

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