Finite Group Databasebeta

← Group #11775613

Character table — Group #11775613

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222222244444444444444444444444444444666666666666668888888888888888812121212121212121212121212121212122424242424242424484872727272
order1222223344666666121212123466666668888121212121212121224242424242424242222446666121212126612121224242424242424242424242446688881212242424242424242444441212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-111-1-111
χ811111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1111111-1-111-1-1
χ91111-1-111-1-1111111-1-1-1-111-1-1-1111-1ii−i−i11-1-1-1-1-1-1iiii−i−i−i−i11-1-111-1-1-1-11111-1-1111iiiiii−i−i−i−i−i−i-111ii−i−i-1-1iiii−i−i−i−i1-1i−iii−i−i1-11-1i−i
χ101111-1-111-1-1111111-1-1-1-111-1-1-1111-1ii−i−i11-1-1-1-1-1-1iiii−i−i−i−i11-1-111-1-1-1-11111-1-1111iiiiii−i−i−i−i−i−i-111ii−i−i-1-1iiii−i−i−i−i-11−ii−i−iii-11-11−ii
χ111111-1-111-1-1111111-1-1-1-111-1-1-1111-1ii−i−i11-1-1-1-1-1-1iiii−i−i−i−i-1-111-1-11111-1-1-1-1-1-1111iiiiii−i−i−i−i−i−i1-1-1−i−iii11−i−i−i−iiiii1-1i−iii−i−i1-1-11−ii
χ121111-1-111-1-1111111-1-1-1-111-1-1-1111-1ii−i−i11-1-1-1-1-1-1iiii−i−i−i−i-1-111-1-11111-1-1-1-1-1-1111iiiiii−i−i−i−i−i−i1-1-1−i−iii11−i−i−i−iiiii-11−ii−i−iii-111-1i−i
χ131111-1-111-1-1111111-1-1-1-111-1-1-1111-1−i−iii11-1-1-1-1-1-1−i−i−i−iiiii11-1-111-1-1-1-11111-1-1111−i−i−i−i−i−iiiiiii-111−i−iii-1-1−i−i−i−iiiii1-1−ii−i−iii1-11-1−ii
χ141111-1-111-1-1111111-1-1-1-111-1-1-1111-1−i−iii11-1-1-1-1-1-1−i−i−i−iiiii11-1-111-1-1-1-11111-1-1111−i−i−i−i−i−iiiiiii-111−i−iii-1-1−i−i−i−iiiii-11i−iii−i−i-11-11i−i
χ151111-1-111-1-1111111-1-1-1-111-1-1-1111-1−i−iii11-1-1-1-1-1-1−i−i−i−iiiii-1-111-1-11111-1-1-1-1-1-1111−i−i−i−i−i−iiiiiii1-1-1ii−i−i11iiii−i−i−i−i1-1−ii−i−iii1-1-11i−i
χ161111-1-111-1-1111111-1-1-1-111-1-1-1111-1−i−iii11-1-1-1-1-1-1−i−i−i−iiiii-1-111-1-11111-1-1-1-1-1-1111−i−i−i−i−i−iiiiiii1-1-1ii−i−i11iiii−i−i−i−i-11i−iii−i−i-111-1−ii
χ1722222222-2-2222222-2-2-2-22-222222220000-2-2-2-2-2-2-2-2000000002222-2-22222-2-2-2-222-2-2-2000000000000-2220000-2-20000000000000000000000
χ1822222222-2-2222222-2-2-2-22-222222220000-2-2-2-2-2-2-2-200000000-2-2-2-222-2-2-2-2222222-2-2-20000000000002-2-20000220000000000000000000000
χ192222222-1222-1-122-1-1-1-1-1-122-1-1-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-100000000000000
χ202222222-1222-1-122-1-1-1-1-1-122-1-1-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-1-12-1-122-1-1-1-122-1-1-1-1-211-2-2-2-2111111111100000000000000
χ212222222-1222-1-122-1-1-1-1-1-122-1-1-1-1-12-2-2-2-2-1-122-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-12-1-1-2-21111-2-211112-1-1-2-2-2-2-1-11111111100000000000000
χ222222222-1222-1-122-1-1-1-1-1-122-1-1-1-1-12-2-2-2-2-1-122-1-1-1-111111111-2-2-2-2-2-211111111-1-12-1-1-2-21111-2-21111-211222211-1-1-1-1-1-1-1-100000000000000
χ232222222-1-2-22-1-122-11111-1-22-1-1-1-1-12000011-2-2111133−3−333−3−32222-2-2-1-1-1-11111-1-1-2110033−3−30033−3−3-2-1-100001133−3−333−3−300000000000000
χ242222222-1-2-22-1-122-11111-1-22-1-1-1-1-12000011-2-2111133−3−333−3−3-2-2-2-2221111-1-1-1-1-1-1-2110033−3−30033−3−32110000-1-1−3−333−3−33300000000000000
χ252222222-1-2-22-1-122-11111-1-22-1-1-1-1-12000011-2-21111−3−333−3−3332222-2-2-1-1-1-11111-1-1-21100−3−33300−3−333-2-1-1000011−3−333−3−33300000000000000
χ262222222-1-2-22-1-122-11111-1-22-1-1-1-1-12000011-2-21111−3−333−3−333-2-2-2-2221111-1-1-1-1-1-1-21100−3−33300−3−3332110000-1-133−3−333−3−300000000000000
χ27222222-1222-122-1-122222-12-122-1-1-1-1222222-1-1-1-1-1-12222222200000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000002222-1-1-1-1-1-10000
χ28222222-1222-122-1-122222-12-122-1-1-1-1222222-1-1-1-1-1-12222222200000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-2-2-2-21111110000
χ29222222-1222-122-1-122222-12-122-1-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000000000-1-1-1-1-11111111111110000000000000000022-2-21111-1-10000
χ30222222-1222-122-1-122222-12-122-1-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000000000-1-1-1-1-111111111111100000000000000000-2-222-1-1-1-1110000
χ312222-2-2222222222222222-2-2-2-2222-20000-2-22222220000000022-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000002220000220000000000000000000000
χ322222-2-2222222222222222-2-2-2-2222-20000-2-222222200000000-2-2222222222222-2-2-2-2-2000000000000-2-2-20000-2-20000000000000000000000
χ332222-2-22-1222-1-122-1-1-1-1-1-1-2-211-1-1-1-200001122-1-1-1-1−i3−i3i3i3i3i3−i3−i322-2-2-2-21111111111-21100−i3−i3i3i300i3i3−i3−i32-1-10000-1-1−i3−i3i3i3i3i3−i3−i300000000000000
χ342222-2-22-1222-1-122-1-1-1-1-1-1-2-211-1-1-1-200001122-1-1-1-1−i3−i3i3i3i3i3−i3−i3-2-22222-1-1-1-1-1-1-1-111-21100−i3−i3i3i300i3i3−i3−i3-211000011i3i3−i3−i3−i3−i3i3i300000000000000
χ352222-2-22-1222-1-122-1-1-1-1-1-1-2-211-1-1-1-200001122-1-1-1-1i3i3−i3−i3−i3−i3i3i322-2-2-2-21111111111-21100i3i3−i3−i300−i3−i3i3i32-1-10000-1-1i3i3−i3−i3−i3−i3i3i300000000000000
χ362222-2-22-1222-1-122-1-1-1-1-1-1-2-211-1-1-1-200001122-1-1-1-1i3i3−i3−i3−i3−i3i3i3-2-22222-1-1-1-1-1-1-1-111-21100i3i3−i3−i300−i3−i3i3i3-211000011−i3−i3i3i3i3i3−i3−i300000000000000
χ372222-2-22-1-2-22-1-122-11111-12-211-1-1-1-22i2i−2i−2i-1-1-2-21111−i−i−i−iiiii22-2-2221111-1-1-1-1112-1-12i2i−i−i−i−i−2i−2iiiii-2-1-12i2i−2i−2i11−i−i−i−iiiii00000000000000
χ382222-2-22-1-2-22-1-122-11111-12-211-1-1-1-22i2i−2i−2i-1-1-2-21111−i−i−i−iiiii-2-222-2-2-1-1-1-11111112-1-12i2i−i−i−i−i−2i−2iiiii211−2i−2i2i2i-1-1iiii−i−i−i−i00000000000000
χ392222-2-22-1-2-22-1-122-11111-12-211-1-1-1-2−2i−2i2i2i-1-1-2-21111iiii−i−i−i−i22-2-2221111-1-1-1-1112-1-1−2i−2iiiii2i2i−i−i−i−i-2-1-1−2i−2i2i2i11iiii−i−i−i−i00000000000000
χ402222-2-22-1-2-22-1-122-11111-12-211-1-1-1-2−2i−2i2i2i-1-1-2-21111iiii−i−i−i−i-2-222-2-2-1-1-1-11111112-1-1−2i−2iiiii2i2i−i−i−i−i2112i2i−2i−2i-1-1−i−i−i−iiiii00000000000000
χ412222-2-2-12-2-2-122-1-12-2-2-2-2-121-2-2-1-1-112i2i−2i−2i221111112i2i2i2i−2i−2i−2i−2i0000000000000011-1-1-1−i−i−i−i−i−iiiiiii000000000000000002-22i−2i−i−iii-110000
χ422222-2-2-12-2-2-122-1-12-2-2-2-2-121-2-2-1-1-112i2i−2i−2i221111112i2i2i2i−2i−2i−2i−2i0000000000000011-1-1-1−i−i−i−i−i−iiiiiii00000000000000000-22−2i2iii−i−i1-10000
χ432222-2-2-12-2-2-122-1-12-2-2-2-2-121-2-2-1-1-11−2i−2i2i2i22111111−2i−2i−2i−2i2i2i2i2i0000000000000011-1-1-1iiiiii−i−i−i−i−i−i000000000000000002-2−2i2iii−i−i-110000
χ442222-2-2-12-2-2-122-1-12-2-2-2-2-121-2-2-1-1-11−2i−2i2i2i22111111−2i−2i−2i−2i2i2i2i2i0000000000000011-1-1-1iiiiii−i−i−i−i−i−i00000000000000000-222i−2i−i−iii1-10000
χ4522-2-22-2220022-2-2-2-200002022-22-2-2-22−22−2000000002−22−22−22−22-22-20022-2-200002-20002−22−22−22−22−22−202-22−22−2002−22−22−22−200000000000000
χ4622-2-22-2220022-2-2-2-200002022-22-2-2-22−22−2000000002−22−22−22−2-22-2200-2-22200002-20002−22−22−22−22−22−20-22−22−2200−22−22−22−2200000000000000
χ4722-2-22-2220022-2-2-2-200002022-22-2-2-2−22−2200000000−22−22−22−222-22-20022-2-200002-2000−22−22−22−22−22−2202-2−22−2200−22−22−22−2200000000000000
χ4822-2-22-2220022-2-2-2-200002022-22-2-2-2−22−2200000000−22−22−22−22-22-2200-2-22200002-2000−22−22−22−22−22−220-222−22−2002−22−22−22−200000000000000
χ4922-2-22-22-1002-11-2-2133−3−3-102-11-111-22−22−23−30033−3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232-22-200-1-11133−3−3-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230-112−22−23−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000
χ5022-2-22-22-1002-11-2-2133−3−3-102-11-111-22−22−23−30033−3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23-22-220011-1-1−3−333-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2301-1−22−22−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
χ5122-2-22-22-1002-11-2-2133−3−3-102-11-111-2−22−223−30033−3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ232-22-200-1-11133−3−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230-11−22−223−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
χ5222-2-22-22-1002-11-2-2133−3−3-102-11-111-2−22−223−30033−3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23-22-220011-1-1−3−333-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2301-12−22−2−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000
χ5322-2-22-22-1002-11-2-21−3−333-102-11-111-22−22−2−3300−3−333ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72-22-200-1-111−3−333-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70-112−22−2−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000
χ5422-2-22-22-1002-11-2-21−3−333-102-11-111-22−22−2−3300−3−333ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7-22-220011-1-133−3−3-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ701-1−22−223−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000000000
χ5522-2-22-22-1002-11-2-21−3−333-102-11-111-2−22−22−3300−3−333−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ72-22-200-1-111−3−333-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70-11−22−22−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000000000
χ5622-2-22-22-1002-11-2-21−3−333-102-11-111-2−22−22−3300−3−333−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7-22-220011-1-133−3−3-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ701-12−22−23−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000
χ5722-2-2-22220022-2-2-2-2000020-2-222-2-22−i2i2i2−i200000000−i2i2−i2i2i2−i2i2−i22-2-2200-2-2220000-22000−i2i2−i2i2−i2i2i2−i2i2−i2i2−i202-2−i2i2i2−i200−i2i2−i2i2i2−i2i2−i200000000000000
χ5822-2-2-22220022-2-2-2-2000020-2-222-2-22−i2i2i2−i200000000−i2i2−i2i2i2−i2i2−i2-222-20022-2-20000-22000−i2i2−i2i2−i2i2i2−i2i2−i2i2−i20-22i2−i2−i2i200i2−i2i2−i2−i2i2−i2i200000000000000
χ5922-2-2-22220022-2-2-2-2000020-2-222-2-22i2−i2−i2i200000000i2−i2i2−i2−i2i2−i2i22-2-2200-2-2220000-22000i2−i2i2−i2i2−i2−i2i2−i2i2−i2i202-2i2−i2−i2i200i2−i2i2−i2−i2i2−i2i200000000000000
χ6022-2-2-22220022-2-2-2-2000020-2-222-2-22i2−i2−i2i200000000i2−i2i2−i2−i2i2−i2i2-222-20022-2-20000-22000i2−i2i2−i2i2−i2−i2i2−i2i2−i2i20-22−i2i2i2−i200−i2i2−i2i2i2−i2i2−i200000000000000
χ6122-2-2-222-1002-11-2-2133−3−3-10-21-1-1112−i2i2i2−i2−330033−3−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ232-2-220011-1-1−3−3331-10−33−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230-11−i2i2i2−i23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ6222-2-2-222-1002-11-2-2133−3−3-10-21-1-1112−i2i2i2−i2−330033−3−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23-222-200-1-11133−3−31-10−33−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2301-1i2−i2−i2i2−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.