Finite Group Databasebeta

← Group #11870522

Character table — Group #11870522

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222222333344444444444444444444444444444666666666666888888888888888881212121212121212121212121212121212121212122424242424243636363648487272
order122233444466666612121212444434666888812121212121212121212121224242424242424242244121212121212121212121212122424242424242424242424242244466888812122424242424242424446612122244121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-111111111-1-11111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1111111-1-1
χ9111111-1-111111111111111111-111111-1-11-1-1-1-1-1-1111111111-1-1-1-1-1-11111111111-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-1-1-1111-11-1
χ10111111-1-111111111111111111-111111-1-11-1-1-1-1-1-1111111111-1-1-1-1-1-11111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-11-11
χ11111111-1-111111111111111111-1111-1-1111-1-1-1-1-1-111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1111-1-1-1-111-11-11
χ12111111-1-111111111111111111-1111-1-1111-1-1-1-1-1-111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-111-1-1-1-1-1-111111-1-1-11111-1-11-11-1
χ13111111-1-1111111111111-1-1-1-11-111111-1-11-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111-1-11111-1-1-1-111111-111-1-111-1-11-1-11
χ14111111-1-1111111111111-1-1-1-11-111111-1-11-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-11111-11-1-111-1-111-111-1
χ15111111-1-1111111111111-1-1-1-11-1111-1-1111-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-1111111-1-1-1-1-1111-1-111-1-1-111-1
χ16111111-1-1111111111111-1-1-1-11-1111-1-1111-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111-1-1111111-1-1-1-11-1-1-111-1-1111-1-11
χ1722222222-2-2222222-2-2-2-222222-22220000-222-2-222-2-2-2-2-20000000022-2-22222-2-2-2-2-222-2-20000000000000000-2220000-2-20000000000000000000000
χ1822222222-2-2222222-2-2-2-2-2-2-2-22-22220000-222-2-222-2-2-2-2-200000000-2-222-2-2-2-22222-222-2-200000000000000002-2-20000220000000000000000000000
χ19222222-2-2-2-2222222-2-2-2-22222222220000-2-2-222-2-2-2-2-2-2-200000000-2-2-2-22222-2-2-2-22-2-22200000000000000002-2-20000220000000000000000000000
χ20222222-2-2-2-2222222-2-2-2-2-2-2-2-2222220000-2-2-222-2-2-2-2-2-2-2000000002222-2-2-2-222222-2-2220000000000000000-2220000-2-20000000000000000000000
χ2122222-12222-1222-1-122220000-12-1-1-12222-12222-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000000000000000022-1-1-1-10000-1-100
χ2222222-12222-1222-1-122220000-12-1-1-12222-12222-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000000000000-2-2111100001100
χ2322222-12222-1222-1-122220000-12-1-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1111111111111222200000000000000000-2-2-1-1-1-100001100
χ2422222-12222-1222-1-122220000-12-1-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1111111111111-2-2-2-2000000000000000002211110000-1-100
χ2522222-1-2-222-1222-1-122220000-1-2-1-1-122-2-2-1-2-2-2-211-1-1-1-1-12222-2-2-2-200000000000011111-1-1-1-1-1-111111122-2-2000000000000000002-2-1-1110000-1100
χ2622222-1-2-222-1222-1-122220000-1-2-1-1-122-2-2-1-2-2-2-211-1-1-1-1-12222-2-2-2-200000000000011111-1-1-1-1-1-1111111-2-22200000000000000000-2211-1-100001-100
χ2722222-1-2-222-1222-1-122220000-1-2-1-1-1-2-222-1-2-2-2-211-1-1-1-1-1-2-2-2-2222200000000000011111111111-1-1-1-1-1-122-2-200000000000000000-22-1-11100001-100
χ2822222-1-2-222-1222-1-122220000-1-2-1-1-1-2-222-1-2-2-2-211-1-1-1-1-1-2-2-2-2222200000000000011111111111-1-1-1-1-1-1-2-222000000000000000002-211-1-10000-1100
χ292222-1222222-1-1-122-1-1-1-12222-12-1-1-122222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-100002-1-12222-1-1-1-1-1-1-1-1-1-100000000000000
χ302222-1222222-1-1-122-1-1-1-12222-12-1-1-1-2-2-2-22-1-1-1-122-1-12-1-1111111112222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-2-2111100002-1-1-2-2-2-2-1-11111111100000000000000
χ312222-1222222-1-1-122-1-1-1-1-2-2-2-2-12-1-1-122222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111112-1-1-1-122-1-1-1-122-1-1-1-10000-211-2-2-2-2111111111100000000000000
χ322222-1222222-1-1-122-1-1-1-1-2-2-2-2-12-1-1-1-2-2-2-22-1-1-1-122-1-12-1-111111111-2-2-2-2111111112-1-1-1-1-2-21111-2-211110000-211222211-1-1-1-1-1-1-1-100000000000000
χ332222-1222-2-22-1-1-12211112222-1-2-1-1-10000-2-1-1112211-21133−3−333−3−322-2-2-1-1-1-11111-2-1-1110033−3−30033−3−30000-2-1-100001133−3−333−3−300000000000000
χ342222-1222-2-22-1-1-12211112222-1-2-1-1-10000-2-1-1112211-211−3−333−3−33322-2-2-1-1-1-11111-2-1-11100−3−33300−3−3330000-2-1-1000011−3−333−3−33300000000000000
χ352222-1222-2-22-1-1-1221111-2-2-2-2-1-2-1-1-10000-2-1-1112211-21133−3−333−3−3-2-2221111-1-1-1-1-2-1-1110033−3−30033−3−300002110000-1-1−3−333−3−33300000000000000
χ362222-1222-2-22-1-1-1221111-2-2-2-2-1-2-1-1-10000-2-1-1112211-211−3−333−3−333-2-2221111-1-1-1-1-2-1-11100−3−33300−3−33300002110000-1-133−3−333−3−300000000000000
χ372222-12-2-2222-1-1-122-1-1-1-12222-1-2-1-1-122-2-221111-2-2-1-12-1-1-1-1-1-11111-2-222-1-1-1-1-1-1-1-1-2111122-1-1-1-1-2-211110000-21122-2-211-1-1-1-1111100000000000000
χ382222-12-2-2222-1-1-122-1-1-1-12222-1-2-1-1-1-2-22221111-2-2-1-12-1-11111-1-1-1-1-2-222-1-1-1-1-1-1-1-1-21111-2-2111122-1-1-1-10000-211-2-222111111-1-1-1-100000000000000
χ392222-12-2-2222-1-1-122-1-1-1-1-2-2-2-2-1-2-1-1-122-2-221111-2-2-1-12-1-1-1-1-1-1111122-2-211111111-2111122-1-1-1-1-2-2111100002-1-1-2-222-1-11111-1-1-1-100000000000000
χ402222-12-2-2222-1-1-122-1-1-1-1-2-2-2-2-1-2-1-1-1-2-22221111-2-2-1-12-1-11111-1-1-1-122-2-211111111-21111-2-2111122-1-1-1-100002-1-122-2-2-1-1-1-1-1-1111100000000000000
χ412222-12-2-2-2-22-1-1-12211112222-12-1-1-10000-211-1-1-2-211-21133−3−3−3−333-2-2-2-2-1-1-1-11111211-1-10033−3−300−3−33300002110000-1-133−3−3−3−33300000000000000
χ422222-12-2-2-2-22-1-1-12211112222-12-1-1-10000-211-1-1-2-211-211−3−33333−3−3-2-2-2-2-1-1-1-11111211-1-100−3−3330033−3−300002110000-1-1−3−33333−3−300000000000000
χ432222-12-2-2-2-22-1-1-1221111-2-2-2-2-12-1-1-10000-211-1-1-2-211-21133−3−3−3−33322221111-1-1-1-1211-1-10033−3−300−3−3330000-2-1-1000011−3−33333−3−300000000000000
χ442222-12-2-2-2-22-1-1-1221111-2-2-2-2-12-1-1-10000-211-1-1-2-211-211−3−33333−3−322221111-1-1-1-1211-1-100−3−3330033−3−30000-2-1-100001133−3−3−3−33300000000000000
χ452-22-2222-200-22-2-22-2000022-2-2202-2-2−i2i2−i2i202-2002-200000−i2i2−i2i2−i2i2−i2i22-20022-2-2000002-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000002-2−i2i2−i2i200−i2i2−i2i2−i2i2−i2i200000000000000
χ462-22-2222-200-22-2-22-2000022-2-2202-2-2i2−i2i2−i202-2002-200000i2−i2i2−i2i2−i2i2−i22-20022-2-2000002-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000002-2i2−i2i2−i200i2−i2i2−i2i2−i2i2−i200000000000000
χ472-22-2222-200-22-2-22-20000-2-222202-2-2−i2i2−i2i202-2002-200000−i2i2−i2i2−i2i2−i2i2-2200-2-222000002-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000-22i2−i2i2−i200i2−i2i2−i2i2−i2i2−i200000000000000
χ482-22-2222-200-22-2-22-20000-2-222202-2-2i2−i2i2−i202-2002-200000i2−i2i2−i2i2−i2i2−i2-2200-2-222000002-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000-22−i2i2−i2i200−i2i2−i2i2−i2i2−i2i200000000000000
χ492-22-222-2200-22-2-22-2000022-2-2202-2-2−i2i2i2−i20-2200-2200000−i2i2−i2i2i2−i2i2−i2-220022-2-200000-2200−i2i2−i2i2−i2i2i2−i2i2−i2i2−i200000-22−i2i2i2−i200−i2i2−i2i2i2−i2i2−i200000000000000
χ502-22-222-2200-22-2-22-2000022-2-2202-2-2i2−i2−i2i20-2200-2200000i2−i2i2−i2−i2i2−i2i2-220022-2-200000-2200i2−i2i2−i2i2−i2−i2i2−i2i2−i2i200000-22i2−i2−i2i200i2−i2i2−i2−i2i2−i2i200000000000000
χ512-22-222-2200-22-2-22-20000-2-222202-2-2−i2i2i2−i20-2200-2200000−i2i2−i2i2i2−i2i2−i22-200-2-22200000-2200−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2000002-2i2−i2−i2i200i2−i2i2−i2−i2i2−i2i200000000000000
χ522-22-222-2200-22-2-22-20000-2-222202-2-2i2−i2−i2i20-2200-2200000i2−i2i2−i2−i2i2−i2i22-200-2-22200000-2200i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2000002-2−i2i2i2−i200−i2i2−i2i2i2−i2i2−i200000000000000
χ532-22-2-122-200-2-1112-23−33−322-2-2-10-111−i2i2−i2i20-113−32-23−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232-200-1-11133−3−30-113−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000-11−i2i2−i2i23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ542-22-2-122-200-2-1112-23−33−322-2-2-10-111i2−i2i2−i20-113−32-23−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ232-200-1-11133−3−30-113−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000-11i2−i2i2−i23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ552-22-2-122-200-2-1112-23−33−3-2-222-10-111−i2i2−i2i20-113−32-23−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23-220011-1-1−3−3330-113−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000001-1i2−i2i2−i2−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ562-22-2-122-200-2-1112-23−33−3-2-222-10-111i2−i2i2−i20-113−32-23−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23-220011-1-1−3−3330-113−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000001-1−i2i2−i2i2−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ572-22-2-122-200-2-1112-2−33−3322-2-2-10-111−i2i2−i2i20-11−332-2−330−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ72-200-1-111−3−3330-11−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000-11−i2i2−i2i2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000
χ582-22-2-122-200-2-1112-2−33−3322-2-2-10-111i2−i2i2−i20-11−332-2−330−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ72-200-1-111−3−3330-11−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000-11i2−i2i2−i2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
χ592-22-2-122-200-2-1112-2−33−33-2-222-10-111−i2i2−i2i20-11−332-2−330−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7-220011-1-133−3−30-11−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000001-1i2−i2i2−i23−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.