Finite Group Databasebeta

← Group #13168402

Character table — Group #13168402

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666668888888888888888121212121212121212121212121212121212121818181818181818242424242424242424242424242424243636363636363636363654547272108
order122233366666666633346666666661212224444366612121212121212121212121244466661212121212121212121212124444121212126612121212121212121212121212122444121212121212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1111111111111111111-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1111-1-1-1-111111-11-1-1-1-1-111-1-11-1-1
χ3111111111111111111111111111111111-1-11111111111111111111-11111111-1-1111111-1-111111111111-11-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-111
χ51111111111111111111111111111111-1-111111111111111111111-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1111-1-111111111-11-1111-1-1-1-1-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-11-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-11-11-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11-11-1-1-1-1-111111-11
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
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-111-1111111-1-1-1-11
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-111111111-1-11-1-1-111-1-111-1-1-1-111-1-1-1-11111-11-1
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-11-11-1-1-1-111-1-1111-1-11-1-111-1-11111-1
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1111-1-111-1-1-1-11111-1-111-1-1-1-1-1-11-11
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-11111-1-1111111-1-11-1-1-111-1-11111-1-111-1-111-1-1-1-1111-1-1
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11-11-11111-1-111-1-11-1-11-1-111-1-1-1-1111
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-111-1111-1-111-1-111-1-111-1-1-1-111-1-1-111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-111-111111111-1-1-1
χ17222222-1-1-1222222-12-1-122-1-1-1-12-12-122222200-1-1-1-1-12-1-1-1-122-1-1-1-122022-1-10022220000-1-100000000-1-1-120-1-1-10000-1-1-1-120200000-1-100-100
χ18222222-1-1-1222222-12-1-122-1-1-1-12-12-12222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-12-2022-1-100-2-22200001100000000-1-1-1-201-1-100001111-20-2000001100100
χ19222222-1-1-1222222-12-1-122-1-1-1-12-12-122-2-22200-1-1-1-1-12-1-1-1-122-1-1-1-1-220-2-2110022-2-20000-1-10000000011120-1110000-1-1-1-1-20-2000001100100
χ20222222-1-1-1222222-12-1-122-1-1-1-12-12-122-2-2-2-200-1-1-1-1-12-1-1-1-122-1-1-1-1-2-20-2-21100-2-2-2-200001100000000111-201110000111120200000-1-100-100
χ21222222-1-1-1222222-12-1-1-22-1-1-1-12-12-1-2-2222200-1-1-1-11-21111-2-21111-2-2022-1-10022-2-20000-1-100000000-1-11-201110000-1-111-20200000-1-100100
χ22222222-1-1-1222222-12-1-1-22-1-1-1-12-12-1-2-222-2-200-1-1-1-11-21111-2-21111-22022-1-100-2-2-2-200001100000000-1-1120-111000011-1-120-2000001100-100
χ23222222-1-1-1222222-12-1-1-22-1-1-1-12-12-1-2-2-2-22200-1-1-1-11-21111-2-211112-20-2-2110022220000-1-10000000011-1-201-1-10000-1-11120-2000001100-100
χ24222222-1-1-1222222-12-1-1-22-1-1-1-12-12-1-2-2-2-2-2-200-1-1-1-11-21111-2-21111220-2-21100-2-2220000110000000011-120-1-1-1000011-1-1-20200000-1-100100
χ2522222-1222-122-1-122-12-12-12-12-1-1-1-12-1-1220022-1-1-1-12222-1-1-1-1-1-1-1-1202-1-122-1-100-1-1-1-122002222-1-1-1-1-1-12020-1-1-1-1-1-10000000000-1-10000000
χ2622222-1222-122-1-122-12-12-12-12-1-1-1-12-1-12200-2-2-1-1-1-12222-1-1-1-1-1-1-1-120-2-1-1221100-1-111-2-200-2-2-2-21111-1-120-20-1-111110000000000110000000
χ2722222-1222-122-1-122-12-12-12-12-1-1-1-12-1-1-2-20022-1-1-1-12222-1-1-1-1-1-1-1-1-20211-2-2-1-10011-1-12200-2-2-2-2111111-202011-1-1-1-10000000000110000000
χ2822222-1222-122-1-122-12-12-12-12-1-1-1-12-1-1-2-200-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-20-211-2-211001111-2-2002222-1-1-1-111-20-201111110000000000-1-10000000
χ2922222-1222-122-1-122-12-1-2-12-12-1-1-1-1211220022-1-1-1-1-2-2-2-211111111-20-2-1-122-1-1001111220022-2-21111-1-1-20-201111-1-10000000000-1-10000000
χ3022222-1222-122-1-122-12-1-2-12-12-1-1-1-12112200-2-2-1-1-1-1-2-2-2-211111111-202-1-122110011-1-1-2-200-2-222-1-1-1-1-1-1-202011-1-1110000000000110000000
χ3122222-1222-122-1-122-12-1-2-12-12-1-1-1-1211-2-20022-1-1-1-1-2-2-2-21111111120-211-2-2-1-100-1-1112200-2-222-1-1-1-11120-20-1-111-1-10000000000110000000
χ3222222-1222-122-1-122-12-1-2-12-12-1-1-1-1211-2-200-2-2-1-1-1-1-2-2-2-21111111120211-2-21100-1-1-1-1-2-20022-2-21111112020-1-1-1-1110000000000-1-10000000
χ332222-122222-1-122-12-1-122-1-12-12-12-1-122002222-1-1-1-12-1-1-122-1-1-1-1-1-1022000022-1-10022-1-12200000000000-1-1200-1-1-1-1-1-1-1-10202-1-10000000-10
χ342222-122222-1-122-12-1-122-1-12-12-12-1-1220022-2-2-1-1-1-12-1-1-122-1-1-1-1-1-102-20000-2-2-1-100-2-2112200000000000-112001111-1-1-1-10-20-211000000010
χ352222-122222-1-122-12-1-122-1-12-12-12-1-12200-2-222-1-1-1-12-1-1-122-1-1-1-1-1-10-22000022110022-1-1-2-2000000000001-1-200-1-1-1-111110-20-211000000010
χ362222-122222-1-122-12-1-122-1-12-12-12-1-12200-2-2-2-2-1-1-1-12-1-1-122-1-1-1-1-1-10-2-20000-2-21100-2-211-2-20000000000011-200111111110202-1-10000000-10
χ372222-122222-1-122-12-1-12-2-1-12-12-12-1-1-2-2002222-1-1-1-1-2111-2-21111110-2-2000022-1-100-2-2-1-1220000000000011-20011-1-1-1-111020-2-1-1000000010
χ382222-122222-1-122-12-1-12-2-1-12-12-12-1-1-2-20022-2-2-1-1-1-1-2111-2-21111110-220000-2-2-1-100221122000000000001-1-200-1-111-1-1110-202110000000-10
χ392222-122222-1-122-12-1-12-2-1-12-12-12-1-1-2-200-2-222-1-1-1-1-2111-2-211111102-20000221100-2-2-1-1-2-200000000000-1120011-1-111-1-10-202110000000-10
χ402222-122222-1-122-12-1-12-2-1-12-12-12-1-1-2-200-2-2-2-2-1-1-1-1-2111-2-21111110220000-2-211002211-2-200000000000-1-1200-1-11111-1-1020-2-1-1000000010
χ412-22-2222-2-2-22-22-2-222220-2-22-2-22-2-22002-2002i−2i22-2-20000000000000002-22-22i−2i0000002i−2i002i−2i0000002-2000000002i−2i00000000002i−2i0000000
χ422-22-2222-2-2-22-22-2-222220-2-22-2-22-2-22002-200−2i2i22-2-20000000000000002-22-2−2i2i000000−2i2i00−2i2i0000002-200000000−2i2i0000000000−2i2i0000000
χ432-22-2222-2-2-22-22-2-222220-2-22-2-22-2-2200-22002i−2i22-2-2000000000000000-22-222i−2i0000002i−2i00−2i2i000000-22000000002i−2i0000000000−2i2i0000000
χ442-22-2222-2-2-22-22-2-222220-2-22-2-22-2-2200-2200−2i2i22-2-2000000000000000-22-22−2i2i000000−2i2i002i−2i000000-2200000000−2i2i00000000002i−2i0000000
χ452-22-22-12-2-212-2-11-22-12-101-2-1-21-11123−32-2002i−2i-1-11100003−33−333−3−3000-112-2−ii003−3−i3i32i−2i002i−2i00−i3−i3i3i3-1100003−3−i3i3−ii0000000000−ii0000000
χ462-22-22-12-2-212-2-11-22-12-101-2-1-21-11123−32-200−2i2i-1-11100003−33−333−3−3000-112-2i−i003−3i3−i3−2i2i00−2i2i00i3i3−i3−i3-1100003−3i3−i3i−i0000000000i−i0000000
χ472-22-22-12-2-212-2-11-22-12-101-2-1-21-11123−3-22002i−2i-1-11100003−33−333−3−30001-1-22−ii00−33−i3i32i−2i00−2i2i00i3i3−i3−i31-10000−33−i3i3−ii0000000000i−i0000000
χ482-22-22-12-2-212-2-11-22-12-101-2-1-21-11123−3-2200−2i2i-1-11100003−33−333−3−30001-1-22i−i00−33i3−i3−2i2i002i−2i00−i3−i3i3i31-10000−33i3−i3i−i0000000000−ii0000000
χ492-22-22-12-2-212-2-11-22-12-101-2-1-21-1112−332-2002i−2i-1-1110000−33−33−3−333000-112-2−ii00−33i3−i32i−2i002i−2i00i3i3−i3−i3-110000−33i3−i3−ii0000000000−ii0000000
χ502-22-22-12-2-212-2-11-22-12-101-2-1-21-1112−332-200−2i2i-1-1110000−33−33−3−333000-112-2i−i00−33−i3i3−2i2i00−2i2i00−i3−i3i3i3-110000−33−i3i3i−i0000000000i−i0000000
χ512-22-22-12-2-212-2-11-22-12-101-2-1-21-1112−33-22002i−2i-1-1110000−33−33−3−3330001-1-22−ii003−3i3−i32i−2i00−2i2i00−i3−i3i3i31-100003−3i3−i3−ii0000000000i−i0000000
χ522-22-22-12-2-212-2-11-22-12-101-2-1-21-1112−33-2200−2i2i-1-1110000−33−33−3−3330001-1-22i−i003−3−i3i3−2i2i002i−2i00i3i3−i3−i31-100003−3−i3i3i−i0000000000−ii0000000
χ532-2-222222-22-2-2-2-22-22220-2-2-222-2-22-200002i−2i002-2-220000000000000000000002i−2i0000002i−2i002i−2i2i−2i2i−2i0000000000002i−2i0000000000002-2000
χ542-2-222222-22-2-2-2-22-22220-2-2-222-2-22-200002i−2i002-2-220000000000000000000002i−2i0000002i−2i00−2i2i−2i2i−2i2i0000000000002i−2i000000000000-22000
χ552-2-222222-22-2-2-2-22-22220-2-2-222-2-22-20000−2i2i002-2-22000000000000000000000−2i2i000000−2i2i002i−2i2i−2i2i−2i000000000000−2i2i000000000000-22000
χ562-2-222222-22-2-2-2-22-22220-2-2-222-2-22-20000−2i2i002-2-22000000000000000000000−2i2i000000−2i2i00−2i2i−2i2i−2i2i000000000000−2i2i0000000000002-2000
χ5744444-2-2-2-2-244-2-24-2-2-214-2-21-21-21-2-2-2-24400001111-24-2-211-2-21111400-2-2-2-20000-2-20000000000000011-20001100000000000000000000000
χ5844444-2-2-2-2-244-2-24-2-2-214-2-21-21-21-2-2-2-2-4-400001111-24-2-211-2-21111-400222200002200000000000000-1-12000-1-100000000000000000000000
χ5944444-2-2-2-2-244-2-24-2-2-21-4-2-21-21-21-2-22244000011112-422-1-122-1-1-1-1-400-2-2-2-200002200000000000000112000-1-100000000000000000000000
χ6044444-2-2-2-2-244-2-24-2-2-21-4-2-21-21-21-2-222-4-4000011112-422-1-122-1-1-1-140022220000-2-200000000000000-1-1-20001100000000000000000000000
χ614444-24-2-2-24-2-244-2-2-21-24-21-21-2-2-2-21440044001111-2-211-2-2-2-21111040000000-2-2000000-2-200000000000-20-20000001111000000000000000
χ624444-24-2-2-24-2-244-2-2-21-24-21-21-2-2-2-214400-4-4001111-2-211-2-2-2-211110-40000000220000002200000000000202000000-1-1-1-1000000000000000
χ634444-24-2-2-24-2-244-2-2-21-2-4-21-21-2-2-2-21-4-4004400111122-1-12222-1-1-1-10-40000000-2-2000000-2-20000000000020200000011-1-1000000000000000
χ644444-24-2-2-24-2-244-2-2-21-2-4-21-21-2-2-2-21-4-400-4-400111122-1-12222-1-1-1-1040000000220000002200000000000-20-2000000-1-111000000000000000
χ654444-2-2444-2-2-2-2-2-241-2-241-2-2-2-21-21-2-2-200004411114-2-2-2-2-21111110040000-2-20000-2-2-2-200000000000000-200011110000000000000000000
χ664444-2-2444-2-2-2-2-2-241-2-241-2-2-2-21-21-2-2-20000-4-411114-2-2-2-2-211111100-400002200002222000000000000002000-1-1-1-10000000000000000000
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χ684444-2-2444-2-2-2-2-2-241-2-2-41-2-2-2-21-21-2220000-4-41111-422222-1-1-1-1-1-10040000220000-2-22200000000000000-200011-1-10000000000000000000
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χ794-44-44-2-22224-4-22-4-2-2-2102212-1-2-12-223−23-44000011-1-10000−3323−23−3−3330002-22-20000−232300000000000000-1100003−300000000000000000000000
χ804-44-44-2-22224-4-22-4-2-2-2102212-1-2-12-2−23234-4000011-1-100003−3−232333−3−3000-22-220000−2323000000000000001-100003−300000000000000000000000
χ814-44-44-2-22224-4-22-4-2-2-2102212-1-2-12-2−2323-44000011-1-100003−3−232333−3−30002-22-2000023−2300000000000000-110000−3300000000000000000000000
χ824-44-4-244-4-4-4-224-424-2-2402242-4-2-42-20000004i−4i-2-22200000000000000000004i−4i000000−2i2i00000000000000000000−2i2i0000000000000000000
χ834-44-4-244-4-4-4-224-424-2-2402242-4-2-42-2000000−4i4i-2-2220000000000000000000−4i4i0000002i−2i000000000000000000002i−2i0000000000000000000
χ844-44-4-2-24-4-42-22-22241-2-20-12-22212-1-223−2300004i−4i11-1-1000023−23−33−3−3330000000−2i2i0000−2i32i3−2i2i000000000000000000i3−i3i−i0000000000000000000
χ854-44-4-2-24-4-42-22-22241-2-20-12-22212-1-223−230000−4i4i11-1-1000023−23−33−3−33300000002i−2i00002i3−2i32i−2i000000000000000000−i3i3−ii0000000000000000000
χ864-44-4-2-24-4-42-22-22241-2-20-12-22212-1-2−232300004i−4i11-1-10000−23233−333−3−30000000−2i2i00002i3−2i3−2i2i000000000000000000−i3i3i−i0000000000000000000
χ874-44-4-2-24-4-42-22-22241-2-20-12-22212-1-2−23230000−4i4i11-1-10000−23233−333−3−300000002i−2i0000−2i32i32i−2i000000000000000000i3−i3−ii0000000000000000000
χ884-4-4444-2-224-4-4-4-4424-2-20-422-2-2-424200004i−4i00-222-20000000000000000000004i−4i000000−2i2i00000000000000000000−2i2i00000000000000000
χ894-4-4444-2-224-4-4-4-4424-2-20-422-2-2-42420000−4i4i00-222-2000000000000000000000−4i4i0000002i−2i000000000000000000002i−2i00000000000000000
χ904-4-444-244-4-2-4-4224-4-24-202-424-222-2-400000000-222-20000000000000000000000000000000004i−4i−2i2i−2i2i0000000000000000000000000000000
χ914-4-444-244-4-2-4-4224-4-24-202-424-222-2-400000000-222-2000000000000000000000000000000000−4i4i2i−2i2i−2i0000000000000000000000000000000
χ924-4-44-2444-4422-4-4-2-4-2-24022-4-242-4-2200004i−4i00-222-2000000000000000000000−2i2i0000004i−4i00000000000000000000−2i2i00000000000000000
χ934-4-44-2444-4422-4-4-2-4-2-24022-4-242-4-220000−4i4i00-222-20000000000000000000002i−2i000000−4i4i000000000000000000002i−2i00000000000000000
χ944-4-44-24-2-22422-4-4-22-21-202-121-222-2-100004i−4i001-1-11003-300003-33-3000000000−2i2i000000−2i2i00000000000000000000i−i3i−3i000000000000000
χ954-4-44-24-2-22422-4-4-22-21-202-121-222-2-100004i−4i001-1-1100-330000-33-33000000000−2i2i000000−2i2i00000000000000000000i−i−3i3i000000000000000
χ964-4-44-24-2-22422-4-4-22-21-202-121-222-2-10000−4i4i001-1-11003-300003-33-30000000002i−2i0000002i−2i00000000000000000000−ii−3i3i000000000000000
χ974-4-44-24-2-22422-4-4-22-21-202-121-222-2-10000−4i4i001-1-1100-330000-33-330000000002i−2i0000002i−2i00000000000000000000−ii3i−3i000000000000000
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
χ10088-8-88-4-44-44-884-4-84-4-420-4-4-24-24244000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-48-44-4-84-4-8844-42-40-424-244-44-2000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-48-8844-44-44-82-4-402-4444-2-4-24000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-44-444-44-444222022-2-2-2-22-2-200000000-11-110000000033−33−33330000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-44-444-44-444222022-2-2-2-22-2-200000000-11-1100000000−333333−330000000000000000000000000000000000000000000000000000000000
χ1058-88-8-48-444-8-448-84-4-42-404-2-4-24-44420000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-4444-44-444-42220-2-22-2-22-2-2243−43000000-1-1110000−2323−232333−3−30000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4444-44-444-42220-2-22-2-22-2-22−4343000000-1-111000023−2323−23−3−3330000000000000000000000000000000000000000000000000000000000
χ1088-8-888-4-4-44-4-8-84484-4-42044-2-424-2-44000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-488-8-44444-4-82-4-40-244-4-4-2424000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4-44-44444-442220-2-2-222-2-22-200000000-111-1006-60000-33-330000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4-44-44444-442220-2-2-222-2-22-200000000-111-100-6600003-33-30000000000000000000000000000000000000000000000000000000000

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