Finite Group Databasebeta

← Group #11799393

Character table — Group #11799393

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1122222222222222244444444444444444444444444444466666666666688888888888888888121212121212121212121212121212121212484848484848144144
order1223344668812122424242423466666888121212121212122424242424242424242424241616161648484848484848486666121212122424242424242424241616161616164848484848484848484848482668242428
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111111111111111-11-11-1-1111-1-11-1-1111111-1-1-1-1111111111111111111-11-1-1-11-1-1111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-11-1
χ611111111111111111-11-11-1-1111-1-11-1-1111111-1-1-1-1111111111111111111-11-1-1-11-1-1111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-11
χ711111111111111111-11-11-1-1111-1-11-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111111111111-1-1-1-11
χ811111111111111111-11-11-1-1111-1-11-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-11111-1
χ9222222222-2-222-2-2-2-222222222-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-200000000000022222222-2-2-2-2-2-2-2-2-200000000000000000000000000
χ10222222222-2-222-2-2-2-2-22-22-2-222-2222-2-22222-2-22222-2-2-2-2-2-2000000000000-22-2-2-22-2-2-2-2-222222200000000000000000000000000
χ1122222-2-22200-2-200000202002202i−2i-200-2-2-2-2002i2i−2i−2i00000022−2−22222−2−2−2−202000-2000002i2i2i−2i−2i−2i2−2−i2−i2i2i222−2−2−i2−i2−i2−i2i2i2i2i200000000
χ1222222-2-22200-2-200000202002202i−2i-200-2-2-2-2002i2i−2i−2i000000−2−222−2−2−2−2222202000-2000002i2i2i−2i−2i−2i−22i2i2−i2−i2−2−222i2i2i2i2−i2−i2−i2−i200000000
χ1322222-2-22200-2-20000020200220−2i2i-200-2-2-2-200−2i−2i2i2i00000022−2−22222−2−2−2−202000-200000−2i−2i−2i2i2i2i2−2i2i2−i2−i222−2−2i2i2i2i2−i2−i2−i2−i200000000
χ1422222-2-22200-2-20000020200220−2i2i-200-2-2-2-200−2i−2i2i2i000000−2−222−2−2−2−2222202000-200000−2i−2i−2i2i2i2i−22−i2−i2i2i2−2−222−i2−i2−i2−i2i2i2i2i200000000
χ152222-1222-1222222222-12222-1-1222222-1-1-1-1222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002-1-12-1-100
χ162222-1222-1222222222-12222-1-1222222-1-1-1-1222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-211-21100
χ172222-1222-122222222-2-1-22-2-2-1-12-2-22-2-2-1-1-1-122-2-2-2-2-1-1-1-1-1-10000000000001-1111-111-1-1-11111110000000000000000002-1-1-21100
χ182222-1222-122222222-2-1-22-2-2-1-12-2-22-2-2-1-1-1-122-2-2-2-2-1-1-1-1-1-10000000000001-1111-111-1-1-1111111000000000000000000-2112-1-100
χ192222-1222-1-2-222-2-2-2-22-12222-1-1-2-2-2222-1-1-1-1-2-2-2-2-2-2111111000000000000-1-1-1-1-1-1-1-11111111110000000000000000000−i3i30−i3i300
χ202222-1222-1-2-222-2-2-2-22-12222-1-1-2-2-2222-1-1-1-1-2-2-2-2-2-2111111000000000000-1-1-1-1-1-1-1-11111111110000000000000000000i3−i30i3−i300
χ212222-1222-1-2-222-2-2-2-2-2-1-22-2-2-1-1-2222-2-2-1-1-1-1-2-222221111110000000000001-1111-111111-1-1-1-1-1-10000000000000000000−i3i30i3−i300
χ222222-1222-1-2-222-2-2-2-2-2-1-22-2-2-1-1-2222-2-2-1-1-1-1-2-222221111110000000000001-1111-111111-1-1-1-1-1-10000000000000000000i3−i30−i3i300
χ23222-1222-1222-1-1-1-1-1-12-12-1-1-12-1222-1-1-12-1-12-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-12-1-1-12-1-12-1-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ24222-1222-1222-1-1-1-1-1-12-12-1-1-12-1222-1-1-12-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111112-1-1-12-1-1-12-1-12-1-12-1-1-2-2-2-2-2-211111111111100000000
χ25222-1222-1222-1-1-1-1-1-1-2-1-2-1112-12-2-2-1112-1-12-1-1111122-1-1-1-12222-1-1-1-1-1-1-1-1-2-111-2-1112-1-1-211-21122-2-2-2-2-1-1-1-11111111100000000
χ26222-1222-1222-1-1-1-1-1-1-2-1-2-1112-12-2-2-1112-1-12-1-1111122-1-1-1-1-2-2-2-211111111-2-111-2-1112-1-1-211-211-2-222221111-1-1-1-1-1-1-1-100000000
χ27222-1222-12-2-2-1-111112-12-1-1-12-1-2-2-2-1-1-12-1-12111111-2-21111000033−3−333−3−32-1-1-12-1-1-1-211-211-2110000003−33−333−3−333−3−300000000
χ28222-1222-12-2-2-1-111112-12-1-1-12-1-2-2-2-1-1-12-1-12111111-2-211110000−3−333−3−3332-1-1-12-1-1-1-211-211-211000000−33−33−3−333−3−33300000000
χ29222-1222-12-2-2-1-11111-2-1-2-1112-1-222-1112-1-1211-1-1-1-1-2-21111000033−3−333−3−3-2-111-2-111-2112-1-12-1-10000003−33−3−3−333−3−33300000000
χ30222-1222-12-2-2-1-11111-2-1-2-1112-1-222-1112-1-1211-1-1-1-1-2-211110000−3−333−3−333-2-111-2-111-2112-1-12-1-1000000−33−3333−3−333−3−300000000
χ31222-12-2-2-12001133−3−30-10-1−i3i32-102i−2i1−i3i3-211-23−3−i−iii0033−3−322−2−2ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ460-1−i3i301−i3i303−32i−i−i−2iii2−2−i2−i2i2i2ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ46−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ4600000000
χ32222-12-2-2-12001133−3−30-10-1−i3i32-102i−2i1−i3i3-211-23−3−i−iii0033−3−3−2−222−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ460-1−i3i301−i3i303−32i−i−i−2iii−22i2i2−i2−i2−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ46ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ4600000000
χ33222-12-2-2-12001133−3−30-10-1i3−i32-10−2i2i1i3−i3-211-23−3ii−i−i0033−3−322−2−2ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ460-1i3−i301i3−i303−3−2iii2i−i−i2−2i2i2−i2−i2ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ46ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ4600000000
χ34222-12-2-2-12001133−3−30-10-1i3−i32-10−2i2i1i3−i3-211-23−3ii−i−i0033−3−3−2−222−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ460-1i3−i301i3−i303−3−2iii2i−i−i−22−i2−i2i2i2−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ46−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ4600000000
χ35222-12-2-2-120011−3−3330-10-1−i3i32-10−2i2i1−i3i3-211-2−33ii−i−i00−3−33322−2−2ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ140-1−i3i301−i3i30−33−2iii2i−i−i2−2i2i2−i2−i2ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ14ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ1400000000
χ36222-12-2-2-120011−3−3330-10-1−i3i32-10−2i2i1−i3i3-211-2−33ii−i−i00−3−333−2−222−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ140-1−i3i301−i3i30−33−2iii2i−i−i−22−i2−i2i2i2−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ14−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ1400000000
χ37222-12-2-2-120011−3−3330-10-1i3−i32-102i−2i1i3−i3-211-2−33−i−iii00−3−33322−2−2ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ140-1i3−i301i3−i30−332i−i−i−2iii2−2−i2−i2i2i2ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ14−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ1400000000
χ38222-12-2-2-120011−3−3330-10-1i3−i32-102i−2i1i3−i3-211-2−33−i−iii00−3−333−2−222−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ140-1i3−i301i3−i30−332i−i−i−2iii−22i2i2−i2−i2−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ14ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ1400000000
χ3922-2222-22222222222020-200-22-200-200222-2-2-200002222222222222222220-2000-200-2-2-2000000-2-20000-2-2-2-20000000000000000
χ4022-2222-22222222222020-200-22-200-200222-2-2-20000222222-2-2-2-2-2-2-2-2-2-2-2-20-2000-200-2-2-200000022000022220000000000000000
χ4122-2222-222-2-222-2-2-2-2020-200-22200-200222-2220000-2-2-2-2-2-20000000000000-2000-200222000000002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i00000000
χ4222-2222-222-2-222-2-2-2-2020-200-22200-200222-2220000-2-2-2-2-2-20000000000000-2000-20022200000000−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i00000000
χ4322-222-222200-2-2000022-2-222-220002-2-2-2-2-2200000000000022−2−22222−2−2−2−22-222-22-2-2000000000−222−2−22−2−2222−22−2−22−2200000000
χ4422-222-222200-2-2000022-2-222-220002-2-2-2-2-22000000000000−2−222−2−2−2−222222-222-22-2-20000000002−2−222−222−2−2−22−222−22−200000000
χ4522-222-222200-2-20000-222-2-2-2-22000222-2-2-2200000000000022−2−22222−2−2−2−2-2-2-2-22222000000000−22−222−2−2−222−22−222−22−200000000
χ4622-222-222200-2-20000-222-2-2-2-22000222-2-2-22000000000000−2−222−2−2−2−22222-2-2-2-222220000000002−22−2−2222−2−22−22−2−22−2200000000
χ4722-2-122-2-1222-1-1-1-1-1-10-101−i3i3-2-1-2001i3−i32-1-1-211−i3i3−i3i322-1-1-1-12222-1-1-1-1-1-1-1-101−i3i301i3−i3-2110−i3i30−i3i3-2-200001111i3−i3−i3i3i3−i3−i3i300000000
χ4822-2-122-2-1222-1-1-1-1-1-10-101−i3i3-2-1-2001i3−i32-1-1-211−i3i3−i3i322-1-1-1-1-2-2-2-21111111101−i3i301i3−i3-2110−i3i30−i3i3220000-1-1-1-1−i3i3i3−i3−i3i3i3−i300000000
χ4922-2-122-2-1222-1-1-1-1-1-10-101i3−i3-2-1-2001−i3i32-1-1-211i3−i3i3−i322-1-1-1-12222-1-1-1-1-1-1-1-101i3−i301−i3i3-2110i3−i30i3−i3-2-200001111−i3i3i3−i3−i3i3i3−i300000000
χ5022-2-122-2-1222-1-1-1-1-1-10-101i3−i3-2-1-2001−i3i32-1-1-211i3−i3i3−i322-1-1-1-1-2-2-2-21111111101i3−i301−i3i3-2110i3−i30i3−i3220000-1-1-1-1i3−i3−i3i3i3−i3−i3i300000000
χ5122-2-122-2-12-2-2-1-111110-101−i3i3-2-12001i3−i32-1-1-2-1-1i3−i3i3−i3-2-21111000033−3−333−3−301−i3i301i3−i32-1-10i3−i30i3−i300−2i2i−2i2i−33−33i−ii−ii−ii−i00000000
χ5222-2-122-2-12-2-2-1-111110-101−i3i3-2-12001i3−i32-1-1-2-1-1i3−i3i3−i3-2-211110000−3−333−3−33301−i3i301i3−i32-1-10i3−i30i3−i3002i−2i2i−2i3−33−3−ii−ii−ii−ii00000000
χ5322-2-122-2-12-2-2-1-111110-101i3−i3-2-12001−i3i32-1-1-2-1-1−i3i3−i3i3-2-21111000033−3−333−3−301i3−i301−i3i32-1-10−i3i30−i3i3002i−2i2i−2i−33−33−ii−ii−ii−ii00000000
χ5422-2-122-2-12-2-2-1-111110-101i3−i3-2-12001−i3i32-1-1-2-1-1−i3i3−i3i3-2-211110000−3−333−3−33301i3−i301−i3i32-1-10−i3i30−i3i300−2i2i−2i2i3−33−3i−ii−ii−ii−i00000000
χ5522-2-12-22-12001133−3−32-1-21-1-1-2-1000-111-2112−333−3−330033−3−322−2−2ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ4621-1-1-2-1110−3303−30−33−222−2−22−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ4600000000
χ5622-2-12-22-12001133−3−32-1-21-1-1-2-1000-111-2112−333−3−330033−3−3−2−222−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ4621-1-1-2-1110−3303−30−332−2−222−2ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ4600000000
χ5722-2-12-22-12001133−3−3-2-12111-2-1000-1-1-1-2112−33−333−30033−3−322−2−2ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46-21112-1-1-10−330−3303−3−22−222−2−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ4600000000
χ5822-2-12-22-12001133−3−3-2-12111-2-1000-1-1-1-2112−33−333−30033−3−3−2−222−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46-21112-1-1-10−330−3303−32−22−2−22ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ4600000000
χ5922-2-12-22-120011−3−3332-1-21-1-1-2-1000-111-21123−3−333−300−3−33322−2−2ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ1421-1-1-2-11103−30−3303−3−222−2−22−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ1400000000
χ6022-2-12-22-120011−3−3332-1-21-1-1-2-1000-111-21123−3−333−300−3−333−2−222−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ1421-1-1-2-11103−30−3303−32−2−222−2ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ1400000000
χ6122-2-12-22-120011−3−333-2-12111-2-1000-1-1-1-21123−33−3−3300−3−33322−2−2ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14-21112-1-1-103−303−30−33−22−222−2−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ1400000000
χ6222-2-12-22-120011−3−333-2-12111-2-1000-1-1-1-21123−33−3−3300−3−333−2−222−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14-21112-1-1-103−303−30−332−22−2−22ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ1400000000
χ634444-2-4-44-200-4-400000-20400-2-204i−4i-4002222004i4i−4i−4i0000000000000000000-2000200000−2i−2i−2i2i2i2i00000000000000000000000000
χ644444-2-4-44-200-4-400000-20400-2-20−4i4i-400222200−4i−4i4i4i0000000000000000000-20002000002i2i2i−2i−2i−2i00000000000000000000000000
χ65444-2-244-2-244-2-2-2-2-2-2414-2-2-2-21444-2-2-2-211-2-2-2-2-2-2-2-2-21111000000000000-2111-2111-211-211-21100000000000000000000000000
χ66444-2-244-2-244-2-2-2-2-2-2-41-4-222-214-4-4-222-211-2-2-22222-2-2111100000000000021-1-121-1-1-2112-1-12-1-100000000000000000000000000
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χ1028-80-4-40044−4242−4343−4ζ26+4ζ464ζ26−4ζ46−4ζ10+4ζ144ζ10−4ζ140200000-2000000023−23000000022−222ζ26−2ζ46−2ζ26+2ζ462ζ10−2ζ14−2ζ10+2ζ140000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.