Finite Group Databasebeta

← Group #11886915

Character table — Group #11886915

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size112222222222222224444444444444444444444446688888888888888888888121212121212121212121212121212121224242424242424242424242424242472727272
order1223344668812122424242423466666812121212121212242424242424242488666681212121224242424242424242424242224444481212121224242424226666666812121224242288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-11-1-111111111111-1-11-1-1-1-1-1-111-1-111-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111111-111-111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-11-11-1-11111-1-111111111111111-11-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-111-11111111111111-1-1-111-1-1-1-1-1-111-1-1-1-111
χ611111111111111111-11-11-1-11111-1-111111111111111-11-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-11111-1-1-1-1-1-111-1-1
χ711111111111111111-11-11-1-11111-1-1111111111111-1-1-11-1-1-1-11-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1
χ811111111111111111-11-11-1-11111-1-1111111111111-1-1-11-1-1-1-11-1-1-1-1111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-111-1-111
χ9111111111-1-111-1-1-1-111111111-11111111-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-11-1-1-1-111111-111-111-1-1-111-1-1-11-11-1
χ10111111111-1-111-1-1-1-111111111-11111111-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-1-1-1-1-1-1-11-111-11-1-11-1-1-1-11111-111-11-1-111-11-11-1-1-11-11
χ11111111111-1-111-1-1-1-111111111-11111111-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-111-11111-1-1-1-11-1-11-111-1-11-11-111-11-11
χ12111111111-1-111-1-1-1-111111111-11111111-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-11111-1-1-1-1-11-1-11-1-1111-1-11111-11-1
χ13111111111-1-111-1-1-1-1-11-11-1-111-11-1-11111-1-1-1-1-1-1-1-111-11-1-11-11-1-111-1-1-1111111-11-1-11-1-1-11-1-1-1-11111-11-11-1-1-1111-11-111-111-1
χ14111111111-1-111-1-1-1-1-11-11-1-111-11-1-11111-1-1-1-1-1-1-1-111-11-1-11-11-1-111-1-1-1111111-1-11-1-11-1-11-1-1-1-111111-1-1-1111-1-11-1-11111-1-11
χ15111111111-1-111-1-1-1-1-11-11-1-111-11-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11-11-1-111-1-1-111111111-111-111-11111-1-1-1-1-1111-1-1-111-111-1-1-11-1-11
χ16111111111-1-111-1-1-1-1-11-11-1-111-11-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11-11-1-111-1-1-11111111-111-1111-11111-1-1-1-11-11-1111-1-1-11-11-1-1-111-1
χ172222-1222-1222222222-12-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1002-1-1-122-1-1-122-1-1-1-1-1-1-1-1-102202200000000000220-1-1-1-1-1-100-1-1000000
χ182222-1222-1222222222-12-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1002-1-1-122-1-1-122-1-1-1-1-1-1-1-1-10-2-20-2-200000000000-2-201111110011000000
χ192222-1222-122222222-2-1-2-111-122-111-1-1-1222-1-1-1-1-1-100-2-111-2-2-111-2-2-1-1-111111102202200000000000-2-20-1-1111100-1-1000000
χ202222-1222-122222222-2-1-2-111-122-111-1-1-1222-1-1-1-1-1-100-2-111-2-2-111-2-2-1-1-11111110-2-20-2-20000000000022011-1-1-1-10011000000
χ212222-1222-1-2-222-2-2-2-22-12-1-1-1-12-2-1-1-1-1-1-12-2-2111111002-1-1-1-22-1-1-1-2-211111111102-202-2000000000002-20-11-1-11100-11000000
χ222222-1222-1-2-222-2-2-2-22-12-1-1-1-12-2-1-1-1-1-1-12-2-2111111002-1-1-1-22-1-1-1-2-21111111110-220-2200000000000-2201-111-1-1001-1000000
χ232222-1222-1-2-222-2-2-2-2-2-1-2-111-12-2-111-1-1-12-2-211111100-2-1112-2-11122111-1-1-1-1-1-102-202-200000000000-220-1111-1-100-11000000
χ242222-1222-1-2-222-2-2-2-2-2-1-2-111-12-2-111-1-1-12-2-211111100-2-1112-2-11122111-1-1-1-1-1-10-220-22000000000002-201-1-1-111001-1000000
χ25222-1222-1222-1-1-1-1-1-12-12222-1-122222-1-1-1-1-122-1-1-1-122-1-1-1-12-1-1-1-1-1-12-1-122-1-1-1-1200200222-1-1-1-1-1-1-1-100-10000002-100-1-10000
χ26222-1222-1222-1-1-1-1-1-12-12222-1-122222-1-1-1-1-122-1-1-1-1-2-2-1-1-1-12-1-1-1-1-1-12-1-122-1-1-1-1-200-200-2-2-211111111001000000-2100110000
χ27222-1222-1222-1-1-1-1-1-1-2-1-22-2-2-1-122-2-22-1-1-1-1-122-1-1-1-1221-111-21-111112-1-1-2-21111-200-200222-1-1-1-1-1-1-1-1001000000-2100110000
χ28222-1222-1222-1-1-1-1-1-1-2-1-22-2-2-1-122-2-22-1-1-1-1-122-1-1-1-1-2-21-111-21-111112-1-1-2-21111200200-2-2-21111111100-10000002-100-1-10000
χ29222-1222-12-2-2-1-111112-12222-1-1-22222-1-1-111-2-2111122-1-1-1-1-2-1-1-1-111-211-2-21111200200-2-221111-1-1-1-100-1000000-2-100110000
χ30222-1222-12-2-2-1-111112-12222-1-1-22222-1-1-111-2-21111-2-2-1-1-1-1-2-1-1-1-111-211-2-21111-200-20022-2-1-1-1-111110010000002100-1-10000
χ31222-1222-12-2-2-1-11111-2-1-22-2-2-1-1-22-2-22-1-1-111-2-21111221-11121-111-1-1-21122-1-1-1-1-200-200-2-221111-1-1-1-10010000002100-1-10000
χ32222-1222-12-2-2-1-11111-2-1-22-2-2-1-1-22-2-22-1-1-111-2-21111-2-21-11121-111-1-1-21122-1-1-1-120020022-2-1-1-1-1111100-1000000-2-100110000
χ3322-2222-22222222222020-2002-2-2-200222-2-2-2222222000-20000-20000-2-2-20000000220-2-20000000000000022000000-2-2000000
χ3422-2222-22222222222020-2002-2-2-200222-2-2-2222222000-20000-20000-2-2-20000000-2-202200000000000000-2-200000022000000
χ3522-2222-222-2-222-2-2-2-2020-2002-22-200222-222-2-2-2-2-2-2000-20000-2000022200000002-20-22000000000000002-2000000-22000000
χ3622-2222-222-2-222-2-2-2-2020-2002-22-200222-222-2-2-2-2-2-2000-20000-200002220000000-2202-200000000000000-220000002-2000000
χ3722-222-222200-2-2000022-2-2222-202-2-2-2-2-2200000000222-2220-22-2-200000000000200-20000-2000022-2-20020000000-200000000
χ3822-222-222200-2-2000022-2-2222-202-2-2-2-2-2200000000-2-22-2220-22-2-200000000000-2002000020000-2-22200-20000000200000000
χ3922-222-222200-2-20000-222-2-2-22-20222-2-2-220000000022-2-2-2-20222200000000000-20020000-2000022-2-200-20000000200000000
χ4022-222-222200-2-20000-222-2-2-22-20222-2-2-2200000000-2-2-2-2-2-20222200000000000200-2000020000-2-2220020000000-200000000
χ4122-22-12-22-1222222220-101−i3i3-1-2-21−i3i3-1-1-1-2-2-2-1-1-1-1-1-10001−i3i3001−i3i300111−i3i3−i3−i3i3i30220-2-200000000000000-1-1−i3i3−i3i30011000000
χ4222-22-12-22-1222222220-101−i3i3-1-2-21−i3i3-1-1-1-2-2-2-1-1-1-1-1-10001−i3i3001−i3i300111−i3i3−i3−i3i3i30-2-20220000000000000011i3−i3i3−i300-1-1000000
χ4322-22-12-22-1222222220-101i3−i3-1-2-21i3−i3-1-1-1-2-2-2-1-1-1-1-1-10001i3−i3001i3−i300111i3−i3i3i3−i3−i30220-2-200000000000000-1-1i3−i3i3−i30011000000
χ4422-22-12-22-1222222220-101i3−i3-1-2-21i3−i3-1-1-1-2-2-2-1-1-1-1-1-10001i3−i3001i3−i300111i3−i3i3i3−i3−i30-2-20220000000000000011−i3i3−i3i300-1-1000000
χ4522-22-12-22-1-2-222-2-2-2-20-101−i3i3-1-221−i3i3-1-1-1-2221111110001−i3i3001−i3i300-1-1-1i3−i3i3i3−i3−i302-20-2200000000000000-11−i3i3i3−i3001-1000000
χ4622-22-12-22-1-2-222-2-2-2-20-101−i3i3-1-221−i3i3-1-1-1-2221111110001−i3i3001−i3i300-1-1-1i3−i3i3i3−i3−i30-2202-2000000000000001-1i3−i3−i3i300-11000000
χ4722-22-12-22-1-2-222-2-2-2-20-101i3−i3-1-221i3−i3-1-1-1-2221111110001i3−i3001i3−i300-1-1-1−i3i3−i3−i3i3i302-20-2200000000000000-11i3−i3−i3i3001-1000000
χ4822-22-12-22-1-2-222-2-2-2-20-101i3−i3-1-221i3−i3-1-1-1-2221111110001i3−i3001i3−i300-1-1-1−i3i3−i3−i3i3i30-2202-2000000000000001-1−i3i3i3−i300-11000000
χ4922-2-12-22-12001133−3−32-1-2-222-1102-2-2-211-13−30033−3−322-11-1-101-1113−303−3003−33−3200-20000-233−3−3-1-11100-100000001003−30000
χ5022-2-12-22-12001133−3−32-1-2-222-1102-2-2-211-13−30033−3−3-2-2-11-1-101-1113−303−3003−33−3-200200002−3−33311-1-10010000000-100−330000
χ5122-2-12-22-12001133−3−3-2-12-2-2-2-110222-211-13−30033−3−32211110-1-1-1-1−3303−300−33−33-20020000-233−3−3-1-1110010000000-100−330000
χ5222-2-12-22-12001133−3−3-2-12-2-2-2-110222-211-13−30033−3−3-2-211110-1-1-1-1−3303−300−33−33200-200002−3−33311-1-100-100000001003−30000
χ5322-2-12-22-120011−3−3332-1-2-222-1102-2-2-211-1−3300−3−33322-11-1-101-111−330−3300−33−33200-20000-2−3−333-1-11100-10000000100−330000
χ5422-2-12-22-120011−3−3332-1-2-222-1102-2-2-211-1−3300−3−333-2-2-11-1-101-111−330−3300−33−33-20020000233−3−311-1-10010000000-1003−30000
χ5522-2-12-22-120011−3−333-2-12-2-2-2-110222-211-1−3300−3−3332211110-1-1-1-13−30−33003−33−3-20020000-2−3−333-1-1110010000000-1003−30000
χ5622-2-12-22-120011−3−333-2-12-2-2-2-110222-211-1−3300−3−333-2-211110-1-1-1-13−30−33003−33−3200-20000233−3−311-1-100-10000000100−330000
χ5744444-4-44400-4-40000040400440-400-4-4-4-40000000000040000-40000000000000000000000000000000000000000000000000
χ584444-2-4-44-200-4-400000-20-2−2i32i3-24022i3−2i3222-400000000000-2−2i32i30022i3−2i300000000000000000000000000000000000000000000000
χ594444-2-4-44-200-4-400000-20-22i3−2i3-2402−2i32i3222-400000000000-22i3−2i3002−2i32i300000000000000000000000000000000000000000000000
χ60444-24-4-4-2400222323−23−230-20400-2-20-400-4222−2323002323−23−23000-20000200000−2323000000000000000000000000000000000000000000
χ61444-24-4-4-240022−23−2323230-20400-2-20-400-422223−2300−23−232323000-2000020000023−23000000000000000000000000000000000000000000
χ62444-2-244-2-244-2-2-2-2-2-2414-2-2-21-24-2-2-2-211-2-2-2-2-2111100-21114-2111-2-2-211-2-21111000000000000000000000000000000000000
χ63444-2-244-2-244-2-2-2-2-2-2-41-4-2221-24-222-211-2-2-2-2-211110021-1-1-421-1-122-21122-1-1-1-1000000000000000000000000000000000000
χ64444-2-244-2-2-4-4-2-22222414-2-2-21-2-4-2-2-2-211-22222-1-1-1-100-2111-4-2111222-1-122-1-1-1-1000000000000000000000000000000000000
χ65444-2-244-2-2-4-4-2-22222-41-4-2221-2-4-222-211-22222-1-1-1-10021-1-1421-1-1-2-22-1-1-2-21111000000000000000000000000000000000000
χ66444-2-2-4-4-2-200222323−23−23010-2−2i32i31-2022i3−2i32-1-12−232300−3−3330001i3−i300-1−i3i30003−300−3i3i3i−3i000000000000000000000000000000000000
χ67444-2-2-4-4-2-200222323−23−23010-22i3−2i31-202−2i32i32-1-12−232300−3−3330001−i3i300-1i3−i30003−3003i−3i−3i3i000000000000000000000000000000000000
χ68444-2-2-4-4-2-20022−23−232323010-2−2i32i31-2022i3−2i32-1-1223−230033−3−30001i3−i300-1−i3i3000−33003i−3i−3i3i000000000000000000000000000000000000
χ69444-2-2-4-4-2-20022−23−232323010-22i3−2i31-202−2i32i32-1-1223−230033−3−30001−i3i300-1i3−i3000−3300−3i3i3i−3i000000000000000000000000000000000000
χ7044-44-2-444-200-4-400004-2-42-2-2-2-40-2222224000000000042-2-20-4-22200000000000000000000000000000000000000000000000
χ7144-44-2-444-200-4-40000-4-24222-2-40-2-2-222240000000000-422204-2-2-200000000000000000000000000000000000000000000000
χ7244-4-244-4-2444-2-2-2-2-2-20-20-400-22-4-4004-2-222244-2-2-2-20002000020000-422000000000000000000000000000000000000000000
χ7344-4-244-4-24-4-4-2-222220-20-400-224-4004-2-22-2-2-4-4222200020000200004-2-2000000000000000000000000000000000000000000
χ7444-4-2-24-4-2-244-2-2-2-2-2-20102−2i32i312-42−2i32i3-211222-2-21111000-1i3−i300-1i3−i3002-1-1−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ7544-4-2-24-4-2-244-2-2-2-2-2-201022i3−2i312-422i3−2i3-211222-2-21111000-1−i3i300-1−i3i3002-1-12i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ7644-4-2-24-4-2-2-4-4-2-222220102−2i32i31242−2i32i3-2112-2-222-1-1-1-1000-1i3−i300-1i3−i300-2112i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ7744-4-2-24-4-2-2-4-4-2-2222201022i3−2i312422i3−2i3-2112-2-222-1-1-1-1000-1−i3i300-1−i3i300-211−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ7844-4-2-2-44-2-200222323−23−2341-42-2-2120-2222-1-1-223−2300−3−33300-2-111021-1-123−230−3300−33−33000000000000000000000000000000000000
χ7944-4-2-2-44-2-200222323−23−23-414222120-2-2-22-1-1-223−2300−3−333002-1-1-10-2111−23230−33003−33−3000000000000000000000000000000000000
χ8044-4-2-2-44-2-20022−23−23232341-42-2-2120-2222-1-1-2−23230033−3−300-2-111021-1-1−232303−3003−33−3000000000000000000000000000000000000
χ8144-4-2-2-44-2-20022−23−232323-414222120-2-2-22-1-1-2−23230033−3−3002-1-1-10-211123−2303−300−33−33000000000000000000000000000000000000
χ824-404400-4-422−220022−2222−22040000-40000000000022−2222−2222−2222−22000000000000000000000000002-202-22-222−22000000000000000000000
χ834-404400-4-422−220022−2222−22040000-40000000000022−2222−2222−22−222200000000000000000000000000-220-22-22−2222000000000000000000000
χ844-404400-4-4−222200−2222−2222040000-400000000000−2222−2222−222222−2200000000000000000000000000-220-22-2222−22000000000000000000000
χ854-404400-4-4−222200−2222−2222040000-400000000000−2222−2222−2222−2222000000000000000000000000002-202-22-2−2222000000000000000000000
χ864-40-24002-422−2223−232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230-20000200000023−2300022−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2322−22000000000000000000000000002-20−1+31−3−1−31+3−226−60000000000000000000
χ874-40-24002-422−2223−232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230-20000200000023−2300022−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−222200000000000000000000000000-2201−3−1+31+3−1−32−2−660000000000000000000
χ884-40-24002-422−22−23232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70-200002000000−232300022−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ722−22000000000000000000000000002-20−1−31+3−1+31−3−22−660000000000000000000
χ894-40-24002-422−22−23232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70-200002000000−232300022−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−222200000000000000000000000000-2201+3−1−31−3−1+32−26−60000000000000000000
χ904-40-24002-4−222223−23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230-20000200000023−23000−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2322−2200000000000000000000000000-2201−3−1+31+3−1−3−226−60000000000000000000
χ914-40-24002-4−222223−23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230-20000200000023−23000−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23−2222000000000000000000000000002-20−1+31−3−1−31+32−2−660000000000000000000
χ924-40-24002-4−2222−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70-200002000000−2323000−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ722−2200000000000000000000000000-2201+3−1−31−3−1+3−22−660000000000000000000
χ934-40-24002-4−2222−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70-200002000000−2323000−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7−2222000000000000000000000000002-20−1−31+3−1+31−32−26−60000000000000000000
χ948-808-400-8442−420042−4242−420-40000400000000000−2222−2222−22220000000000000000000000000000000000000000000000000000000000
χ958-808-400-84−424200−4242−42420-4000040000000000022−2222−2222−220000000000000000000000000000000000000000000000000000000000
χ968-80-4-4004442−4243−434ζ5−4ζ7−4ζ5+4ζ74ζ13−4ζ23−4ζ13+4ζ23020000-2000000−2323000−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230000000000000000000000000000000000000000000000000000000000
χ978-80-4-4004442−42−43434ζ13−4ζ23−4ζ13+4ζ234ζ5−4ζ7−4ζ5+4ζ7020000-200000023−23000−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70000000000000000000000000000000000000000000000000000000000
χ988-80-4-40044−424243−43−4ζ5+4ζ74ζ5−4ζ7−4ζ13+4ζ234ζ13−4ζ23020000-2000000−232300022−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000000000000000000000000000000000000000000000000000000000
χ998-80-4-40044−4242−4343−4ζ13+4ζ234ζ13−4ζ23−4ζ5+4ζ74ζ5−4ζ7020000-200000023−2300022−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000000000000000000000000000000000000000000000000000000000

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