Finite Group Databasebeta

← Group #11878867

Character table — Group #11878867

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222222244444444444444444444444444444666666666666668888888888888888812121212121212121212121212121212122424242424242424484872727272
order122233444466666612121212346668888121212121212121212121212242424242424242422444412121212121212121212121212242424242424242424242424466888812122424242424242424224412121212662244
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
χ51111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ61111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ71111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-111-1-111
χ81111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1111111-1-111-1-1
χ9111111-1-11111111111111-111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-1111111-1-1-1-11-11-111-1-11-11-11-1
χ10111111-1-11111111111111-111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-1111111-1-1-1-1-11-11-1-111-11-11-11
χ11111111-1-11111111111111-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-11-111-1-11-1-11-11
χ12111111-1-11111111111111-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11-11-1-111-111-11-1
χ13111111-1-11111111111111-1111-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-111111-1-11-1-1111-11-1-11
χ14111111-1-11111111111111-1111-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-11111-111-111-1-1-11-111-1
χ15111111-1-11111111111111-1111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-11111-1-1-1-11-1-11-1-1111-1-111-1
χ16111111-1-11111111111111-1111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-11111-1-1-1-1-111-111-1-1-111-1-11
χ1722222222-2-2222222-2-2-2-22-222200002222-2-2-2-2-2-2-2-2000000002222-2-22222-2-2-2-2-222-2-2000000000000-2220000-2-20000000000000000000000
χ1822222222-2-2222222-2-2-2-22-222200002222-2-2-2-2-2-2-2-200000000-2-2-2-222-2-2-2-22222-222-2-20000000000002-2-20000220000000000000000000000
χ19222222-2-2-2-2222222-2-2-2-2222220000-2-2-2-222-2-2-2-2-2-20000000022-2-222-2-2-2-222222-2-222000000000000-2220000-2-20000000000000000000000
χ20222222-2-2-2-2222222-2-2-2-2222220000-2-2-2-222-2-2-2-2-2-200000000-2-222-2-22222-2-2-2-22-2-2220000000000002-2-20000220000000000000000000000
χ2122222-12222-1222-1-12222-12-1-1-12222-1-12222-1-1-1-1-1-12222222200000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000002222-1-1-1-1-1-10000
χ2222222-12222-1222-1-12222-12-1-1-12222-1-12222-1-1-1-1-1-12222222200000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-2-2-2-21111110000
χ2322222-12222-1222-1-12222-12-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000000000-1-1-1-1-11111111111110000000000000000022-2-21111-1-10000
χ2422222-12222-1222-1-12222-12-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000000000-1-1-1-1-111111111111100000000000000000-2-222-1-1-1-1110000
χ2522222-1-2-222-1222-1-12222-1-2-1-1-122-2-211-2-2-2-2-1-1-1-1-1-12222-2-2-2-20000000000000011111-1-1-1-1-1-1111111000000000000000002-22-2-1-111-110000
χ2622222-1-2-222-1222-1-12222-1-2-1-1-122-2-211-2-2-2-2-1-1-1-1-1-12222-2-2-2-20000000000000011111-1-1-1-1-1-111111100000000000000000-22-2211-1-11-10000
χ2722222-1-2-222-1222-1-12222-1-2-1-1-1-2-22211-2-2-2-2-1-1-1-1-1-1-2-2-2-222220000000000000011111111111-1-1-1-1-1-1000000000000000002-2-2211-1-1-110000
χ2822222-1-2-222-1222-1-12222-1-2-1-1-1-2-22211-2-2-2-2-1-1-1-1-1-1-2-2-2-222220000000000000011111111111-1-1-1-1-1-100000000000000000-222-2-1-1111-10000
χ292222-1222222-1-1-122-1-1-1-1-12-1-1-1222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-100000000000000
χ302222-1222222-1-1-122-1-1-1-1-12-1-1-1222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111112-1-1-1-122-1-1-1-122-1-1-1-1-211-2-2-2-2111111111100000000000000
χ312222-1222222-1-1-122-1-1-1-1-12-1-1-1-2-2-2-222-1-1-1-12-1-12-1-111111111222222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-2-211112-1-1-2-2-2-2-1-11111111100000000000000
χ322222-1222222-1-1-122-1-1-1-1-12-1-1-1-2-2-2-222-1-1-1-12-1-12-1-111111111-2-2-2-2-2-2111111112-1-1-1-1-2-21111-2-21111-211222211-1-1-1-1-1-1-1-100000000000000
χ332222-1222-2-22-1-1-1221111-1-2-1-1-1000022-1-111-211-21133−3−333−3−32222-2-2-1-1-1-11111-2-1-1110033−3−30033−3−3-2-1-100001133−3−333−3−300000000000000
χ342222-1222-2-22-1-1-1221111-1-2-1-1-1000022-1-111-211-21133−3−333−3−3-2-2-2-2221111-1-1-1-1-2-1-1110033−3−30033−3−32110000-1-1−3−333−3−33300000000000000
χ352222-1222-2-22-1-1-1221111-1-2-1-1-1000022-1-111-211-211−3−333−3−3332222-2-2-1-1-1-11111-2-1-11100−3−33300−3−333-2-1-1000011−3−333−3−33300000000000000
χ362222-1222-2-22-1-1-1221111-1-2-1-1-1000022-1-111-211-211−3−333−3−333-2-2-2-2221111-1-1-1-1-2-1-11100−3−33300−3−3332110000-1-133−3−333−3−300000000000000
χ372222-12-2-2222-1-1-122-1-1-1-1-1-2-1-1-122-2-2-2-211112-1-12-1-1-1-1-1-1111122-2-2-2-211111111-2111122-1-1-1-1-2-211112-1-122-2-2-1-1-1-1-1-1111100000000000000
χ382222-12-2-2222-1-1-122-1-1-1-1-1-2-1-1-122-2-2-2-211112-1-12-1-1-1-1-1-11111-2-22222-1-1-1-1-1-1-1-1-2111122-1-1-1-1-2-21111-211-2-222111111-1-1-1-100000000000000
χ392222-12-2-2222-1-1-122-1-1-1-1-1-2-1-1-1-2-222-2-211112-1-12-1-11111-1-1-1-122-2-2-2-211111111-21111-2-2111122-1-1-1-12-1-1-2-222-1-11111-1-1-1-100000000000000
χ402222-12-2-2222-1-1-122-1-1-1-1-1-2-1-1-1-2-222-2-211112-1-12-1-11111-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-21111-2-2111122-1-1-1-1-21122-2-211-1-1-1-1111100000000000000
χ412222-12-2-2-2-22-1-1-1221111-12-1-1-10000-2-211-1-1-211-21133−3−3−3−33322-2-2221111-1-1-1-1211-1-10033−3−300−3−333-2-1-100001133−3−3−3−33300000000000000
χ422222-12-2-2-2-22-1-1-1221111-12-1-1-10000-2-211-1-1-211-21133−3−3−3−333-2-222-2-2-1-1-1-11111211-1-10033−3−300−3−3332110000-1-1−3−33333−3−300000000000000
χ432222-12-2-2-2-22-1-1-1221111-12-1-1-10000-2-211-1-1-211-211−3−33333−3−322-2-2221111-1-1-1-1211-1-100−3−3330033−3−3-2-1-1000011−3−33333−3−300000000000000
χ442222-12-2-2-2-22-1-1-1221111-12-1-1-10000-2-211-1-1-211-211−3−33333−3−3-2-222-2-2-1-1-1-11111211-1-100−3−3330033−3−32110000-1-133−3−3−3−33300000000000000
χ4522-2-2222-20022-2-2-2-20000202-2-2−i2i2−i2i22-22-200000000−i2i2−i2i2−i2i2−i2i22-22-20022-2-2000002-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i202-2−i2i2−i2i200−i2i2−i2i2−i2i2−i2i200000000000000
χ4622-2-2222-20022-2-2-2-20000202-2-2−i2i2−i2i22-22-200000000−i2i2−i2i2−i2i2−i2i2-22-2200-2-222000002-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20-22i2−i2i2−i200i2−i2i2−i2i2−i2i2−i200000000000000
χ4722-2-2222-20022-2-2-2-20000202-2-2i2−i2i2−i22-22-200000000i2−i2i2−i2i2−i2i2−i22-22-20022-2-2000002-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i202-2i2−i2i2−i200i2−i2i2−i2i2−i2i2−i200000000000000
χ4822-2-2222-20022-2-2-2-20000202-2-2i2−i2i2−i22-22-200000000i2−i2i2−i2i2−i2i2−i2-22-2200-2-222000002-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20-22−i2i2−i2i200−i2i2−i2i2−i2i2−i2i200000000000000
χ4922-2-222-220022-2-2-2-20000202-2-2−i2i2i2−i2-22-2200000000−i2i2−i2i2i2−i2i2−i22-2-2200-2-22200000-2200−i2i2−i2i2−i2i2i2−i2i2−i2i2−i202-2−i2i2i2−i200−i2i2−i2i2i2−i2i2−i200000000000000
χ5022-2-222-220022-2-2-2-20000202-2-2−i2i2i2−i2-22-2200000000−i2i2−i2i2i2−i2i2−i2-222-20022-2-200000-2200−i2i2−i2i2−i2i2i2−i2i2−i2i2−i20-22i2−i2−i2i200i2−i2i2−i2−i2i2−i2i200000000000000
χ5122-2-222-220022-2-2-2-20000202-2-2i2−i2−i2i2-22-2200000000i2−i2i2−i2−i2i2−i2i22-2-2200-2-22200000-2200i2−i2i2−i2i2−i2−i2i2−i2i2−i2i202-2i2−i2−i2i200i2−i2i2−i2−i2i2−i2i200000000000000
χ5222-2-222-220022-2-2-2-20000202-2-2i2−i2−i2i2-22-2200000000i2−i2i2−i2−i2i2−i2i2-222-20022-2-200000-2200i2−i2i2−i2i2−i2−i2i2−i2i2−i2i20-22−i2i2i2−i200−i2i2−i2i2i2−i2i2−i200000000000000
χ5322-2-2-122-2002-111-2-23−33−3-10-111−i2i2−i2i22-2-113−303−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232-22-200-1-11133−3−30-113−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230-11−i2i2−i2i23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ5422-2-2-122-2002-111-2-23−33−3-10-111−i2i2−i2i22-2-113−303−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23-22-220011-1-1−3−3330-113−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2301-1i2−i2i2−i2−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ5522-2-2-122-2002-111-2-23−33−3-10-111i2−i2i2−i22-2-113−303−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ232-22-200-1-11133−3−30-113−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230-11i2−i2i2−i23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ5622-2-2-122-2002-111-2-23−33−3-10-111i2−i2i2−i22-2-113−303−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23-22-220011-1-1−3−3330-113−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2301-1−i2i2−i2i2−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ5722-2-2-122-2002-111-2-2−33−33-10-111−i2i2−i2i22-2-11−330−330−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ72-22-200-1-111−3−3330-11−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70-11−i2i2−i2i2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000
χ5822-2-2-122-2002-111-2-2−33−33-10-111−i2i2−i2i22-2-11−330−330−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7-22-220011-1-133−3−30-11−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ701-1i2−i2i2−i23−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
χ5922-2-2-122-2002-111-2-2−33−33-10-111i2−i2i2−i22-2-11−330−330−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ72-22-200-1-111−3−3330-11−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70-11i2−i2i2−i2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
χ6022-2-2-122-2002-111-2-2−33−33-10-111i2−i2i2−i22-2-11−330−330−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7-22-220011-1-133−3−30-11−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ701-1−i2i2−i2i23−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.