Finite Group Databasebeta

← Group #13168602

Character table — Group #13168602

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666668888888888888888121212121212121212121212121212121212121818181818181818242424242424242424242424242424243636363636363636363654547272108
order12223336666666663334666666666121244444436661212121212121212121212122441212121212121212121212121212121222446666666612121212121212121212121244441212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1111111111111111111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-1-1-11-11-111-1-1-1-1-1-11-1-1
χ3111111111111111111111111111111111-1-11111111111111111111-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-11-11-1-111-1-1-1-1-11-1
χ4111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ51111111111111111111111111111111-1-111111111111111111111-1111111-1-1-1-11111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-11-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-11-11-1-111-1-111-111
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111-11-111-1-1-1-1111-11
χ81111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-11111-1-11111-1-1-1-1-111111-1-1-1-111-111-111-1-1-1-111-11-1
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-11111-1-111-1-11111-1-1-1-11-111-1-11111-1-11-1-11-1-111-1-1111-1-1
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1111
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1111111-1
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-111-1-1-1-11111-1-111111111-11-1-111-1-1-1-1111-1-11-1-111-1-1-1-11-11
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-11111-1-111-1-1111111111-1-1-1-1-11111-1-1-111-111-1-1-1-1-1-1-111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-11111111111-1-1-1
χ17222222-1-12222-122-1-1-122-1-12-1-122-1-1-1-1002222-1-1-1-12222-1-1-1-1-1-1-1-102222220000-1-1-1-1-1-1-1-12222-1-1-1-100002200-1-1-1-1-1-1-1-100000000-1-100000
χ18222222-1-12222-122-1-1-122-1-12-1-122-1-1-1-10022-2-2-1-1-1-12222-1-1-1-1-1-1-1-102-222-2-20000-1-1-1-11111-2-2-2-2111100002-200-1-1-1-11111000000001100000
χ19222222-1-12222-122-1-1-122-1-12-1-122-1-1-1-100-2-222-1-1-1-12222-1-1-1-1-1-1-1-10-22-2-22200001111-1-1-1-1-2-2-2-211110000-22001111-1-1-1-1000000001100000
χ20222222-1-12222-122-1-1-122-1-12-1-122-1-1-1-100-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-10-2-2-2-2-2-20000111111112222-1-1-1-10000-2-2001111111100000000-1-100000
χ21222222-1-12222-122-1-1-12-2-1-12-1-122-1-111002222-1-1-1-1-2-2-2-2111111110-2-222220000-1-111-1-111-2-22211110000-2-200-1-111-1-11100000000-1-100000
χ22222222-1-12222-122-1-1-12-2-1-12-1-122-1-1110022-2-2-1-1-1-1-2-2-2-2111111110-2222-2-20000-1-11111-1-122-2-2-1-1-1-10000-2200-1-11111-1-1000000001100000
χ23222222-1-12222-122-1-1-12-2-1-12-1-122-1-11100-2-222-1-1-1-1-2-2-2-21111111102-2-2-222000011-1-1-1-11122-2-2-1-1-1-100002-20011-1-1-1-111000000001100000
χ24222222-1-12222-122-1-1-12-2-1-12-1-122-1-11100-2-2-2-2-1-1-1-1-2-2-2-211111111022-2-2-2-2000011-1-111-1-1-2-22211110000220011-1-111-1-100000000-1-100000
χ2522222-1222-12-122-122-1-122-1-12-1-1-12-122220022-1-1-1-12-1-1-122-1-1-1-1-1-120200-1-122-1-100002222000000002-1-1-10-1-1-10000-1-1-1-1020200-1-100000-10
χ2622222-1222-12-122-122-1-122-1-12-1-1-12-1222200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-120-2001122-1-10000-2-2-2-2000000002-1-1-101-1-1000011110-20-200110000010
χ2722222-1222-12-122-122-1-122-1-12-1-1-12-122-2-20022-1-1-1-12-1-1-122-1-1-1-1-1-1-20200-1-1-2-2110000222200000000-21110-1110000-1-1-1-10-20-200110000010
χ2822222-1222-12-122-122-1-122-1-12-1-1-12-122-2-200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-20-20011-2-2110000-2-2-2-200000000-2111011100001111020200-1-100000-10
χ2922222-1222-12-122-122-1-1-22-1-12-1-1-12-1-2-2220022-1-1-1-1-2111-2-2111111-20-200-1-122-1-1000022-2-200000000-211101-1-10000-1-1110-20200-1-10000010
χ3022222-1222-12-122-122-1-1-22-1-12-1-1-12-1-2-22200-2-2-1-1-1-1-2111-2-2111111-202001122-1-10000-2-22200000000-21110-1-1-1000011-1-1020-2001100000-10
χ3122222-1222-12-122-122-1-1-22-1-12-1-1-12-1-2-2-2-20022-1-1-1-1-2111-2-211111120-200-1-1-2-211000022-2-2000000002-1-1-101110000-1-111020-2001100000-10
χ3222222-1222-12-122-122-1-1-22-1-12-1-1-12-1-2-2-2-200-2-2-1-1-1-1-2111-2-21111112020011-2-2110000-2-222000000002-1-1-10-111000011-1-10-20200-1-10000010
χ332222-1222-12-122-122-12-12-12-1-12-1-1-1222222200-1-1-1-1-12-1-1-1-122-1-1-1-1220-1-100-1-1222222000000000000-12-1-1-10-1-1-1-1-1-100002020-1-1000000-100
χ342222-1222-12-122-122-12-12-12-1-12-1-1-122222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-12-201100-1-122-2-2-2-2000000000000-12-1-110-1-111110000-20-2011000000100
χ352222-1222-12-122-122-12-12-12-1-12-1-1-1222-2-22200-1-1-1-1-12-1-1-1-122-1-1-1-1-220-1-10011-2-222220000000000001-211-1011-1-1-1-10000-20-2011000000100
χ362222-1222-12-122-122-12-12-12-1-12-1-1-1222-2-2-2-200-1-1-1-1-12-1-1-1-122-1-1-1-1-2-20110011-2-2-2-2-2-20000000000001-2111011111100002020-1-1000000-100
χ372222-1222-12-122-122-12-1-2-12-1-12-1-1-12-2-2222200-1-1-1-11-21111-2-21111-2-20-1-100-1-12222-2-20000000000001-21110-1-1-1-1110000-2020-1-1000000100
χ382222-1222-12-122-122-12-1-2-12-1-12-1-1-12-2-222-2-200-1-1-1-11-21111-2-21111-2201100-1-122-2-2220000000000001-211-10-1-111-1-1000020-2011000000-100
χ392222-1222-12-122-122-12-1-2-12-1-12-1-1-12-2-2-2-22200-1-1-1-11-21111-2-211112-20-1-10011-2-222-2-2000000000000-12-1-11011-1-111000020-2011000000-100
χ402222-1222-12-122-122-12-1-2-12-1-12-1-1-12-2-2-2-2-2-200-1-1-1-11-21111-2-21111220110011-2-2-2-222000000000000-12-1-1-101111-1-10000-2020-1-1000000100
χ412-22-2222-222-2-2-2-2-222220-2-22-2-2-2-222002i−2i000022-2-200000000000000000002i−2i2i−2i000000002-20022-2-20000002i−2i0000000000000000002i−2i000
χ422-22-2222-222-2-2-2-2-222220-2-22-2-2-2-222002i−2i000022-2-200000000000000000002i−2i2i−2i00000000-2200-2-2220000002i−2i000000000000000000−2i2i000
χ432-22-2222-222-2-2-2-2-222220-2-22-2-2-2-22200−2i2i000022-2-20000000000000000000−2i2i−2i2i000000002-20022-2-2000000−2i2i000000000000000000−2i2i000
χ442-22-2222-222-2-2-2-2-222220-2-22-2-2-2-22200−2i2i000022-2-20000000000000000000−2i2i−2i2i00000000-2200-2-222000000−2i2i0000000000000000002i−2i000
χ452-2-22222-2-2-2222-2-2-22220-2-2-2222-2-2-200002i−2i2i−2i2-2-220000000000000002i−2i2i−2i00002i−2i002i−2i00002-20000000000002i−2i002i−2i00000000002-200000
χ462-2-22222-2-2-2222-2-2-22220-2-2-2222-2-2-200002i−2i−2i2i2-2-220000000000000002i−2i−2i2i00002i−2i00−2i2i0000-220000000000002i−2i00−2i2i0000000000-2200000
χ472-2-22222-2-2-2222-2-2-22220-2-2-2222-2-2-20000−2i2i2i−2i2-2-22000000000000000−2i2i2i−2i0000−2i2i002i−2i0000-22000000000000−2i2i002i−2i0000000000-2200000
χ482-2-22222-2-2-2222-2-2-22220-2-2-2222-2-2-20000−2i2i−2i2i2-2-22000000000000000−2i2i−2i2i0000−2i2i00−2i2i00002-2000000000000−2i2i00−2i2i00000000002-200000
χ492-2-2222-11-2-222-1-2-21-1-12011-2-1-12-211−i3i3002i−2i2i−2i-111-10000−i3i3−i3i3−i3−i3i3i30002i−2i2i−2i0000−ii3−3−ii3−3002-2−i3i3−i3i300000000−ii3−3−ii3−300000000-1100000
χ502-2-2222-11-2-222-1-2-21-1-12011-2-1-12-211−i3i3002i−2i−2i2i-111-10000−i3i3−i3i3−i3−i3i3i30002i−2i−2i2i0000−ii3−3i−i−3300-22i3−i3i3−i300000000−ii3−3i−i−33000000001-100000
χ512-2-2222-11-2-222-1-2-21-1-12011-2-1-12-211−i3i300−2i2i2i−2i-111-10000−i3i3−i3i3−i3−i3i3i3000−2i2i2i−2i0000i−i−33−ii3−300-22i3−i3i3−i300000000i−i−33−ii3−3000000001-100000
χ522-2-2222-11-2-222-1-2-21-1-12011-2-1-12-211−i3i300−2i2i−2i2i-111-10000−i3i3−i3i3−i3−i3i3i3000−2i2i−2i2i0000i−i−33i−i−33002-2−i3i3−i3i300000000i−i−33i−i−3300000000-1100000
χ532-2-2222-11-2-222-1-2-21-1-12011-2-1-12-211i3−i3002i−2i2i−2i-111-10000i3−i3i3−i3i3i3−i3−i30002i−2i2i−2i0000−ii−33−ii−33002-2i3−i3i3−i300000000−ii−33−ii−3300000000-1100000
χ542-2-2222-11-2-222-1-2-21-1-12011-2-1-12-211i3−i3002i−2i−2i2i-111-10000i3−i3i3−i3i3i3−i3−i30002i−2i−2i2i0000−ii−33i−i3−300-22−i3i3−i3i300000000−ii−33i−i3−3000000001-100000
χ552-2-2222-11-2-222-1-2-21-1-12011-2-1-12-211i3−i300−2i2i2i−2i-111-10000i3−i3i3−i3i3i3−i3−i3000−2i2i2i−2i0000i−i3−3−ii−3300-22−i3i3−i3i300000000i−i3−3−ii−33000000001-100000
χ562-2-2222-11-2-222-1-2-21-1-12011-2-1-12-211i3−i300−2i2i−2i2i-111-10000i3−i3i3−i3i3i3−i3−i3000−2i2i−2i2i0000i−i3−3i−i3−3002-2i3−i3i3−i300000000i−i3−3i−i3−300000000-1100000
χ5744444-2-2-24-24-2-24-2-2-21-24-21-2-21-2-2-21-2-200004411114-2-2-2-2-211111100400-2-200000000-2-2-2-20000000000000-20000001111000000000000000
χ5844444-2-2-24-24-2-24-2-2-21-24-21-2-21-2-2-21-2-20000-4-411114-2-2-2-2-211111100-4002200000000222200000000000002000000-1-1-1-1000000000000000
χ5944444-2-2-24-24-2-24-2-2-21-2-4-21-2-21-2-2-21220000441111-422222-1-1-1-1-1-100-400-2-200000000-2-2220000000000000200000011-1-1000000000000000
χ6044444-2-2-24-24-2-24-2-2-21-2-4-21-2-21-2-2-21220000-4-41111-422222-1-1-1-1-1-100400220000000022-2-20000000000000-2000000-1-111000000000000000
χ614444-24-2-2-24-24-2-24-21-2-241-2-21-2-2-21-2-2-20044001111-24-2-211-2-21111040-2-2000000-2-2-2-20000000000000000-200011110000000000000000000
χ624444-24-2-2-24-24-2-24-21-2-241-2-21-2-2-21-2-2-200-4-4001111-24-2-211-2-211110-4022000000222200000000000000002000-1-1-1-10000000000000000000
χ634444-24-2-2-24-24-2-24-21-2-2-41-2-21-2-2-21-22200440011112-422-1-122-1-1-1-10-40-2-2000000-2-2220000000000000000200011-1-10000000000000000000
χ644444-24-2-2-24-24-2-24-21-2-2-41-2-21-2-2-21-22200-4-40011112-422-1-122-1-1-1-10402200000022-2-20000000000000000-2000-1-1110000000000000000000
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χ664444-2-244-2-2-2-24-2-24-2-214-2-21-2-211-2-244-4-400001111-2-211-2-2-2-21111-40000002222000000000000000022-1-100-1-100000000000000000000000
χ674444-2-244-2-2-2-24-2-24-2-21-4-2-21-2-211-2-2-4-4440000111122-1-12222-1-1-1-1-4000000-2-2-2-2000000000000000022-1-1001100000000000000000000000
χ684444-2-244-2-2-2-24-2-24-2-21-4-2-21-2-211-2-2-4-4-4-40000111122-1-12222-1-1-1-1400000022220000000000000000-2-21100-1-100000000000000000000000
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χ7244-4-44-244-42-42-44-2-44-2-204-22-422-2-4200000000-22-22000000000000000000000000000000000000000000000000000000000000023−230000000
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χ7444-4-4-24442-42-4-4-24-4-24-20-2422-42-22-400000000-22-220000000000000000000000000000000000000000000000000000000000023−23000000000
χ7544-4-4-24442-42-4-4-24-4-24-20-2422-42-22-400000000-22-2200000000000000000000000000000000000000000000000000000000000−2323000000000
χ764-44-444-2244-4-42-4-4-2-2-24022422-4-4-2-200000000-2-22200000000000000000000000000000004-400-2-2220000000000000000000000000000000
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χ804-44-4-244-4-242-4-42-44-24-202-4-22-422-24004i−4i0000-2-2220000000000000000000−2i2i4i−4i0000000000000000000000−2i2i00000000000000000000000
χ814-44-4-244-4-242-4-42-44-24-202-4-22-422-2400−4i4i0000-2-22200000000000000000002i−2i−4i4i00000000000000000000002i−2i00000000000000000000000
χ824-44-4-2-24-4-2-222-4224-2-21022122-1-1-2-2004i−4i000011-1-1003i−3i00003i−3i3i−3i0000000−2i2i−2i2i0000000000000000003-300i−i00000000000000000000000
χ834-44-4-2-24-4-2-222-4224-2-21022122-1-1-2-2004i−4i000011-1-100−3i3i0000−3i3i−3i3i0000000−2i2i−2i2i000000000000000000-3300i−i00000000000000000000000
χ844-44-4-2-24-4-2-222-4224-2-21022122-1-1-2-200−4i4i000011-1-1003i−3i00003i−3i3i−3i00000002i−2i2i−2i000000000000000000-3300−ii00000000000000000000000
χ854-44-4-2-24-4-2-222-4224-2-21022122-1-1-2-200−4i4i000011-1-100−3i3i0000−3i3i−3i3i00000002i−2i2i−2i0000000000000000003-300−ii00000000000000000000000
χ864-4-444-24-4-424-24-42-44-2-20-4224-2-22-420000004i−4i-222-200000000000000000−2i2i000000004i−4i0000000000000000000000−2i2i00000000000000000
χ874-4-444-24-4-424-24-42-44-2-20-4224-2-22-42000000−4i4i-222-2000000000000000002i−2i00000000−4i4i00000000000000000000002i−2i00000000000000000
χ884-4-444-2-22-424-2-2-422-21-202-12-21-222-1−2i32i300004i−4i1-1-110000−2i32i3i3−i3i3i3−i3−i300000−2i2i00000000−2i2i23−2300000000000000000000i−i−33000000000000000
χ894-4-444-2-22-424-2-2-422-21-202-12-21-222-1−2i32i30000−4i4i1-1-110000−2i32i3i3−i3i3i3−i3−i3000002i−2i000000002i−2i−232300000000000000000000−ii3−3000000000000000
χ904-4-444-2-22-424-2-2-422-21-202-12-21-222-12i3−2i300004i−4i1-1-1100002i3−2i3−i3i3−i3−i3i3i300000−2i2i00000000−2i2i−232300000000000000000000i−i3−3000000000000000
χ914-4-444-2-22-424-2-2-422-21-202-12-21-222-12i3−2i30000−4i4i1-1-1100002i3−2i3−i3i3−i3−i3i3i3000002i−2i000000002i−2i23−2300000000000000000000−ii−33000000000000000
χ924-4-44-244-42-4-2442-4-4-24-202-42-24-222-400004i−4i00-222-2000000000000000−2i2i0000004i−4i0000000000000000000000−2i2i000000000000000000000
χ934-4-44-244-42-4-2442-4-4-24-202-42-24-222-40000−4i4i00-222-20000000000000002i−2i000000−4i4i00000000000000000000002i−2i000000000000000000000
χ944-4-44-24-222-4-24-22-421-2-20-1221-2-22-12−2i32i3004i−4i001-1-110000i3−i3−2i32i3i3i3−i3−i3000−2i2i000000−2i2i23−2300000000000000000000i−i−330000000000000000000
χ954-4-44-24-222-4-24-22-421-2-20-1221-2-22-12−2i32i300−4i4i001-1-110000i3−i3−2i32i3i3i3−i3−i30002i−2i0000002i−2i−232300000000000000000000−ii3−30000000000000000000
χ964-4-44-24-222-4-24-22-421-2-20-1221-2-22-122i3−2i3004i−4i001-1-110000−i3i32i3−2i3−i3−i3i3i3000−2i2i000000−2i2i−232300000000000000000000i−i3−30000000000000000000
χ974-4-44-24-222-4-24-22-421-2-20-1221-2-22-122i3−2i300−4i4i001-1-110000−i3i32i3−2i3−i3−i3i3i30002i−2i0000002i−2i23−2300000000000000000000−ii−330000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000
χ10088-8-88-4-4-4-84-8448-44-42-40-4244-24-44-2000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-48-4-44-84-84-4842-4-402-44-244-4-24000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4884444-8-4-4-8-4-420-4-4-244-2244000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-4-444444-4-44222022-2-2-2-22-2-200000000-11-110000000033−33−33330000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-4-444444-4-44222022-2-2-2-22-2-200000000-11-1100000000−333333−330000000000000000000000000000000000000000000000000000000000
χ1058-88-88-4-448-4-844-84-4-42-404-2-44-244-420000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-48-44-484-844-8-42-4-40-24-4-24442-40000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-44-4-444444-42220-2-22-2-2-2-22200000000-1-111006i−6i0000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-44-4-444444-42220-2-22-2-2-2-22200000000-1-11100−6i6i00003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-48-844-4-4844-8-4-42044-2-4-42-244000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4444-4-4-44442220-2-2-2222-2-2-2−4i34i3000000-111-100002i3−2i32i3−2i3−i3−i3i3i30000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4444-4-4-44442220-2-2-2222-2-2-24i3−4i3000000-111-10000−2i32i3−2i32i3i3i3−i3−i30000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).