Finite Group Databasebeta

← Group #11870430

Character table — Group #11870430

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222222333344444444444444444444444444444666666666666888888888888888881212121212121212121212121212121212121212122424242424243636363648487272
order12222233446666661212121244443466666668888121212121212121224242424242424244444121212121212121266121212242424242424242424242424222248888121212122424242424242424246666444461224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
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
χ711111111111111111111-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-111111111-1-11111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1111111-1-1
χ91111-1-11111111111111111111-1-1-1-1-111111-1-1-1-11111111111-1-1-1-111-1-111111111-1-1-1-1-1111111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-11-1-11
χ101111-1-11111111111111111111-1-1-1-1-111111-1-1-1-11111111111-1-1-1-111-1-111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-111-111-1
χ111111-1-11111111111111111111-1-1-1-1-1111-1-111-1-1111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1111-1-111-1-1-111-1
χ121111-1-11111111111111111111-1-1-1-1-1111-1-111-1-1111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-111-1-1-1-1-1-1-1-111111-1-1-111-1-1111-1-11
χ131111-1-111111111111111-1-1-1-11-1-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11-1-1111111-1-1-1-111111-111-1-1-1-1111-11-1
χ141111-1-111111111111111-1-1-1-11-1-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-11111-11-1-11111-1-1-11-11
χ151111-1-111111111111111-1-1-1-11-1-1-1-1-1111-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-111111111-1-1-1-1-1111-1-1-1-111-11-11
χ161111-1-111111111111111-1-1-1-11-1-1-1-1-1111-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-111111111-1-1-1-11-1-1-11111-1-11-11-1
χ1722222222-2-2222222-2-2-2-222222-222222220000-2-2-2-2-2-2-2-200000000-2-2222222-2-2-2-222-2-2-20000000000000000-2000022-2-20000000000000000000000
χ1822222222-2-2222222-2-2-2-2-2-2-2-22-222222220000-2-2-2-2-2-2-2-20000000022-2-2-2-2-2-2222222-2-2-2000000000000000020000-2-2220000000000000000000000
χ192222222-122-12-122-122220000-1222-1-1-1-1-1222222-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000000000000000022-1-1-1-10000-1-100
χ202222222-122-12-122-122220000-1222-1-1-1-1-1222222-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000000000000-2-2111100001100
χ212222222-122-12-122-122220000-1222-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1111111111111222200000000000000000-2-2-1-1-1-100001100
χ222222222-122-12-122-122220000-1222-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1111111111111-2-2-2-2000000000000000002211110000-1-100
χ23222222-12222-12-1-12-1-1-1-12222-12-1-122-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-122-1-1-1-1000022222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ24222222-12222-12-1-12-1-1-1-12222-12-1-122-1-1-1-2-2-2-2-1-122-1-1-1-1111111112222-1-1-1-1-1-1-1-1-1-12-1-1-2-21111-2-2111100002-2-2-2-2-1-1-1-11111111100000000000000
χ25222222-12222-12-1-12-1-1-1-1-2-2-2-2-12-1-122-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-1-12-1-122-1-1-1-122-1-1-1-10000-2-2-2-2-211111111111100000000000000
χ26222222-12222-12-1-12-1-1-1-1-2-2-2-2-12-1-122-1-1-1-2-2-2-2-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-1-2-21111-2-211110000-222221111-1-1-1-1-1-1-1-100000000000000
χ27222222-12-2-22-12-1-1211112222-1-2-1-122-1-1-1000011-2-2111133−3−333−3−3-2-222-1-1-1-11111-1-1-2110033−3−30033−3−30000-20000-1-11133−3−333−3−300000000000000
χ28222222-12-2-22-12-1-1211112222-1-2-1-122-1-1-1000011-2-21111−3−333−3−333-2-222-1-1-1-11111-1-1-21100−3−33300−3−3330000-20000-1-111−3−333−3−33300000000000000
χ29222222-12-2-22-12-1-121111-2-2-2-2-1-2-1-122-1-1-1000011-2-2111133−3−333−3−322-2-21111-1-1-1-1-1-1-2110033−3−30033−3−300002000011-1-1−3−333−3−33300000000000000
χ30222222-12-2-22-12-1-121111-2-2-2-2-1-2-1-122-1-1-1000011-2-21111−3−333−3−33322-2-21111-1-1-1-1-1-1-21100−3−33300−3−33300002000011-1-133−3−333−3−300000000000000
χ312222-2-222-2-2222222-2-2-2-2222222-2-2-2-2222000022-2-2-2-2-2-200000000-2-2-2-22222-2-2-2-2-2-2222000000000000000020000-2-2220000000000000000000000
χ322222-2-222-2-2222222-2-2-2-2-2-2-2-222-2-2-2-2222000022-2-2-2-2-2-2000000002222-2-2-2-22222-2-22220000000000000000-2000022-2-20000000000000000000000
χ332222-2-22-122-12-122-122220000-1-2-2-211-1-1-122-2-2-2-2-1-1-1-1-1-12222-2-2-2-200000000000011111-1-1-1-1-1-111111122-2-2000000000000000002-2-1-1110000-1100
χ342222-2-22-122-12-122-122220000-1-2-2-211-1-1-122-2-2-2-2-1-1-1-1-1-12222-2-2-2-200000000000011111-1-1-1-1-1-1111111-2-22200000000000000000-2211-1-100001-100
χ352222-2-22-122-12-122-122220000-1-2-2-211-1-1-1-2-222-2-2-1-1-1-1-1-1-2-2-2-2222200000000000011111111111-1-1-1-1-1-122-2-200000000000000000-22-1-11100001-100
χ362222-2-22-122-12-122-122220000-1-2-2-211-1-1-1-2-222-2-2-1-1-1-1-1-1-2-2-2-2222200000000000011111111111-1-1-1-1-1-1-2-222000000000000000002-211-1-10000-1100
χ372222-2-2-12222-12-1-12-1-1-1-12222-1-211-2-2-1-1-122-2-21122-1-1-1-1-1-1-1-1111122-2-2-1-1-1-1-1-1-1-111-21122-1-1-1-1-2-211110000-222-2-21111-1-1-1-1111100000000000000
χ382222-2-2-12222-12-1-12-1-1-1-12222-1-211-2-2-1-1-1-2-2221122-1-1-1-11111-1-1-1-122-2-2-1-1-1-1-1-1-1-111-211-2-2111122-1-1-1-10000-2-2-22211111111-1-1-1-100000000000000
χ392222-2-2-12222-12-1-12-1-1-1-1-2-2-2-2-1-211-2-2-1-1-122-2-21122-1-1-1-1-1-1-1-11111-2-2221111111111-21122-1-1-1-1-2-2111100002-2-222-1-1-1-11111-1-1-1-100000000000000
χ402222-2-2-12222-12-1-12-1-1-1-1-2-2-2-2-1-211-2-2-1-1-1-2-2221122-1-1-1-11111-1-1-1-1-2-2221111111111-211-2-2111122-1-1-1-10000222-2-2-1-1-1-1-1-1-1-1111100000000000000
χ412222-2-2-12-2-22-12-1-1211112222-1211-2-2-1-1-10000-1-1-2-2111133−3−3−3−333-2-2-2-2-1-1-1-11111112-1-10033−3−300−3−33300002000011-1-133−3−3−3−33300000000000000
χ422222-2-2-12-2-22-12-1-1211112222-1211-2-2-1-1-10000-1-1-2-21111−3−33333−3−3-2-2-2-2-1-1-1-11111112-1-100−3−3330033−3−300002000011-1-1−3−33333−3−300000000000000
χ432222-2-2-12-2-22-12-1-121111-2-2-2-2-1211-2-2-1-1-10000-1-1-2-2111133−3−3−3−33322221111-1-1-1-1112-1-10033−3−300−3−3330000-20000-1-111−3−33333−3−300000000000000
χ442222-2-2-12-2-22-12-1-121111-2-2-2-2-1211-2-2-1-1-10000-1-1-2-21111−3−33333−3−322221111-1-1-1-1112-1-100−3−3330033−3−30000-20000-1-11133−3−3−3−33300000000000000
χ4522-2-200222-2-222-2-2-222-2-22i2i−2i−2i200000-2-220000002-222-2-2000000002i−2i002i2i−2i−2i2i2i−2i−2i000000000000000002-20000000000000000000002-2002i−2i000000
χ4622-2-200222-2-222-2-2-222-2-22i2i−2i−2i200000-2-220000002-222-2-2000000002i−2i002i2i−2i−2i2i2i−2i−2i00000000000000000-22000000000000000000000-2200−2i2i000000
χ4722-2-200222-2-222-2-2-222-2-2−2i−2i2i2i200000-2-220000002-222-2-200000000−2i2i00−2i−2i2i2i−2i−2i2i2i000000000000000002-20000000000000000000002-200−2i2i000000
χ4822-2-200222-2-222-2-2-222-2-2−2i−2i2i2i200000-2-220000002-222-2-200000000−2i2i00−2i−2i2i2i−2i−2i2i2i00000000000000000-22000000000000000000000-22002i−2i000000
χ4922-2-20022-22-222-2-2-2-2-2222i2i−2i−2i200000-2-22000000-22-2-22200000000−2i2i002i2i−2i−2i−2i−2i2i2i00000000000000000002-20000000000000000000002-2002i−2i0000
χ5022-2-20022-22-222-2-2-2-2-2222i2i−2i−2i200000-2-22000000-22-2-22200000000−2i2i002i2i−2i−2i−2i−2i2i2i0000000000000000000-22000000000000000000000-2200−2i2i0000
χ5122-2-20022-22-222-2-2-2-2-222−2i−2i2i2i200000-2-22000000-22-2-222000000002i−2i00−2i−2i2i2i2i2i−2i−2i00000000000000000002-20000000000000000000002-200−2i2i0000
χ5222-2-20022-22-222-2-2-2-2-222−2i−2i2i2i200000-2-22000000-22-2-222000000002i−2i00−2i−2i2i2i2i2i−2i−2i0000000000000000000-22000000000000000000000-22002i−2i0000
χ532-2-222-22200-2-2-22-2200002-22-2202-22-22-2-22−22−2000000002−22−22−22−2002-22-22-200002-20002−22−22−22−22−22−2000002−22−22-2002−22−22−22−200000000000000
χ542-2-222-22200-2-2-22-2200002-22-2202-22-22-2-2−22−2200000000−22−22−22−22002-22-22-200002-2000−22−22−22−22−22−2200000−22−222-200−22−22−22−2200000000000000
χ552-2-222-22200-2-2-22-220000-22-22202-22-22-2-22−22−2000000002−22−22−22−200-22-22-2200002-20002−22−22−22−22−22−200000−22−22-2200−22−22−22−2200000000000000
χ562-2-222-22200-2-2-22-220000-22-22202-22-22-2-2−22−2200000000−22−22−22−2200-22-22-2200002-2000−22−22−22−22−22−22000002−22−2-22002−22−22−22−200000000000000
χ572-2-222-2-1200-21-2-1123−33−32-22-2-10-112-2-1112−22−23−3003−33−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23002-2-11-113−33−3-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000002−22−2-113−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000
χ582-2-222-2-1200-21-2-1123−33−32-22-2-10-112-2-111−22−223−3003−33−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23002-2-11-113−33−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000−22−22-113−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
χ592-2-222-2-1200-21-2-1123−33−3-22-22-10-112-2-1112−22−23−3003−33−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300-221-11-1−33−33-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000−22−221-1−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
χ602-2-222-2-1200-21-2-1123−33−3-22-22-10-112-2-111−22−223−3003−33−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300-221-11-1−33−33-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000002−22−21-1−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000
χ612-2-222-2-1200-21-2-112−33−332-22-2-10-112-2-1112−22−2−3300−33−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7002-2-11-11−33−33-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000002−22−2-11−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000
χ622-2-222-2-1200-21-2-112−33−332-22-2-10-112-2-111−22−22−3300−33−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7002-2-11-11−33−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000−22−22-11−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000000000
χ632-2-222-2-1200-21-2-112−33−33-22-22-10-112-2-1112−22−2−3300−33−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700-221-11-13−33−3-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000−22−221-13−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000000000
χ642-2-222-2-1200-21-2-112−33−33-22-22-10-112-2-111−22−22−3300−33−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700-221-11-13−33−3-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000002−22−21-13−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000
χ652-2-22-222200-2-2-22-2200002-22-220-22-222-2-22−2−22000000002−22−2−22−2200-222-22-20000-220002−22−22−2−22−22−22000002−2−22-22002−22−2−22−2200000000000000
χ662-2-22-222200-2-2-22-2200002-22-220-22-222-2-2−222−200000000−22−222−22−200-222-22-20000-22000−22−22−222−22−22−200000−222−2-2200−22−222−22−200000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.