Finite Group Databasebeta

← Group #11869660

Character table — Group #11869660

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222222333344444444444444444444444444444666666666666888888888888888881212121212121212121212121212121212121212122424242424243636363648487272
order122222334466666612121212444434666666688881212121212121212242424242424242422446666121212126612121224242424242424242424242424444668888121224242424242424242412121212444461244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
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
χ711111111111111111111-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-11111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1111111-1-1
χ91111-1-11111111111111111111-1-1-1-1-111111-1-1-1-11111111111-1-1-1-111-1-111111111-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111-1-11-11-1
χ101111-1-11111111111111111111-1-1-1-1-111111-1-1-1-11111111111-1-1-1-111-1-111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-11-1-111-1-111-11-11
χ111111-1-11111111111111111111-1-1-1-1-1111-1-111-1-1111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-111-1-1-1-1-1-11111-1111-1-111-1-1-11-11
χ121111-1-11111111111111111111-1-1-1-1-1111-1-111-1-1111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-111-1-1-1-1-1-111111-1-1-111-1-1111-11-1
χ131111-1-111111111111111-1-1-1-11-1-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-111-1-11111-1-1-1-111111-111-1-1-1-1111-1-11
χ141111-1-111111111111111-1-1-1-11-1-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111-1-11111-1-1-1-11111-11-1-11111-1-1-111-1
χ151111-1-111111111111111-1-1-1-11-1-1-1-1-1111-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111-1-1111111-1-1-1-1-1111-1-1-1-111-111-1
χ161111-1-111111111111111-1-1-1-11-1-1-1-1-1111-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1111111-1-1-1-11-1-1-11111-1-11-1-11
χ1722222222-2-2222222-2-2-2-222222-222222220000-2-2-2-2-2-2-2-200000000-2-222-2-2-2-2222222-2-2-2000000000000-20000-2-20000220000000000000000000000
χ1822222222-2-2222222-2-2-2-2-2-2-2-22-222222220000-2-2-2-2-2-2-2-20000000022-2-22222-2-2-2-222-2-2-200000000000020000220000-2-20000000000000000000000
χ192222222-12222-1-12-122220000-1222-1-1-1-1-1222222-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-102222000000000000000022-1-1-1-10000-1-100
χ202222222-12222-1-12-122220000-1222-1-1-1-1-1222222-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-20000000000000000-2-2111100001100
χ212222222-12222-1-12-122220000-1222-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1111111111111022220000000000000000-2-2-1-1-1-100001100
χ222222222-12222-1-12-122220000-1222-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-11111111111110-2-2-2-200000000000000002211110000-1-100
χ23222222-1222-1-122-12-1-1-1-12222-12-1-122-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-122-1-1-1-120000-1-12222-1-1-1-1-1-1-1-1-1-100000000000000
χ24222222-1222-1-122-12-1-1-1-12222-12-1-122-1-1-1-2-2-2-2-1-122-1-1-1-1111111112222-1-1-1-1-1-1-1-1-1-12-1-1-2-21111-2-2111120000-1-1-2-2-2-2-1-11111111100000000000000
χ25222222-1222-1-122-12-1-1-1-1-2-2-2-2-12-1-122-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-1-12-1-122-1-1-1-122-1-1-1-1-2000011-2-2-2-2111111111100000000000000
χ26222222-1222-1-122-12-1-1-1-1-2-2-2-2-12-1-122-1-1-1-2-2-2-2-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-1-2-21111-2-21111-2000011222211-1-1-1-1-1-1-1-100000000000000
χ27222222-12-2-2-1-122-1211112222-1-2-1-122-1-1-1000011-2-2111133−3−333−3−3-2-2221111-1-1-1-1-1-1-2110033−3−30033−3−3-20000110000-1-133−3−333−3−300000000000000
χ28222222-12-2-2-1-122-1211112222-1-2-1-122-1-1-1000011-2-21111−3−333−3−333-2-2221111-1-1-1-1-1-1-21100−3−33300−3−333-20000110000-1-1−3−333−3−33300000000000000
χ29222222-12-2-2-1-122-121111-2-2-2-2-1-2-1-122-1-1-1000011-2-2111133−3−333−3−322-2-2-1-1-1-11111-1-1-2110033−3−30033−3−320000-1-1000011−3−333−3−33300000000000000
χ30222222-12-2-2-1-122-121111-2-2-2-2-1-2-1-122-1-1-1000011-2-21111−3−333−3−33322-2-2-1-1-1-11111-1-1-21100−3−33300−3−33320000-1-100001133−3−333−3−300000000000000
χ312222-2-222-2-2222222-2-2-2-2222222-2-2-2-2222000022-2-2-2-2-2-200000000-2-2-2-2-2-2-2-22222-2-222200000000000020000220000-2-20000000000000000000000
χ322222-2-222-2-2222222-2-2-2-2-2-2-2-222-2-2-2-2222000022-2-2-2-2-2-20000000022222222-2-2-2-2-2-2222000000000000-20000-2-20000220000000000000000000000
χ332222-2-22-12222-1-12-122220000-1-2-2-211-1-1-122-2-2-2-2-1-1-1-1-1-12222-2-2-2-200000000000011111-1-1-1-1-1-1111111022-2-200000000000000002-2-1-1110000-1100
χ342222-2-22-12222-1-12-122220000-1-2-2-211-1-1-122-2-2-2-2-1-1-1-1-1-12222-2-2-2-200000000000011111-1-1-1-1-1-11111110-2-2220000000000000000-2211-1-100001-100
χ352222-2-22-12222-1-12-122220000-1-2-2-211-1-1-1-2-222-2-2-1-1-1-1-1-1-2-2-2-2222200000000000011111111111-1-1-1-1-1-1022-2-20000000000000000-22-1-11100001-100
χ362222-2-22-12222-1-12-122220000-1-2-2-211-1-1-1-2-222-2-2-1-1-1-1-1-1-2-2-2-2222200000000000011111111111-1-1-1-1-1-10-2-22200000000000000002-211-1-10000-1100
χ372222-2-2-1222-1-122-12-1-1-1-12222-1-211-2-2-1-1-122-2-21122-1-1-1-1-1-1-1-1111122-2-2-1-1-1-1-1-1-1-111-21122-1-1-1-1-2-21111-200001122-2-211-1-1-1-1111100000000000000
χ382222-2-2-1222-1-122-12-1-1-1-12222-1-211-2-2-1-1-1-2-2221122-1-1-1-11111-1-1-1-122-2-2-1-1-1-1-1-1-1-111-211-2-2111122-1-1-1-1-2000011-2-222111111-1-1-1-100000000000000
χ392222-2-2-1222-1-122-12-1-1-1-1-2-2-2-2-1-211-2-2-1-1-122-2-21122-1-1-1-1-1-1-1-11111-2-2221111111111-21122-1-1-1-1-2-2111120000-1-1-2-222-1-11111-1-1-1-100000000000000
χ402222-2-2-1222-1-122-12-1-1-1-1-2-2-2-2-1-211-2-2-1-1-1-2-2221122-1-1-1-11111-1-1-1-1-2-2221111111111-211-2-2111122-1-1-1-120000-1-122-2-2-1-1-1-1-1-1111100000000000000
χ412222-2-2-12-2-2-1-122-1211112222-1211-2-2-1-1-10000-1-1-2-2111133−3−3−3−333-2-2-2-21111-1-1-1-1112-1-10033−3−300−3−33320000-1-100001133−3−3−3−33300000000000000
χ422222-2-2-12-2-2-1-122-1211112222-1211-2-2-1-1-10000-1-1-2-21111−3−33333−3−3-2-2-2-21111-1-1-1-1112-1-100−3−3330033−3−320000-1-1000011−3−33333−3−300000000000000
χ432222-2-2-12-2-2-1-122-121111-2-2-2-2-1211-2-2-1-1-10000-1-1-2-2111133−3−3−3−3332222-1-1-1-11111112-1-10033−3−300−3−333-20000110000-1-1−3−33333−3−300000000000000
χ442222-2-2-12-2-2-1-122-121111-2-2-2-2-1211-2-2-1-1-10000-1-1-2-21111−3−33333−3−32222-1-1-1-11111112-1-100−3−3330033−3−3-20000110000-1-133−3−3−3−33300000000000000
χ4522-2-22-222002-2-2-2-2200002i2i−2i−2i202-22-22-2-22−22−2000000002−22−22−22−2002i−2i00002i2i−2i−2i2-20002−22−22−22−22−22−20000000−i2i2−i2i22i−2i−i2i2−i2i2−i2i2−i2i200000000000000
χ4622-2-22-222002-2-2-2-2200002i2i−2i−2i202-22-22-2-2−22−2200000000−22−22−22−22002i−2i00002i2i−2i−2i2-2000−22−22−22−22−22−220000000i2−i2i2−i22i−2ii2−i2i2−i2i2−i2i2−i200000000000000
χ4722-2-22-222002-2-2-2-220000−2i−2i2i2i202-22-22-2-22−22−2000000002−22−22−22−200−2i2i0000−2i−2i2i2i2-20002−22−22−22−22−22−20000000i2−i2i2−i2−2i2ii2−i2i2−i2i2−i2i2−i200000000000000
χ4822-2-22-222002-2-2-2-220000−2i−2i2i2i202-22-22-2-2−22−2200000000−22−22−22−2200−2i2i0000−2i−2i2i2i2-2000−22−22−22−22−22−220000000−i2i2−i2i2−2i2i−i2i2−i2i2−i2i2−i2i200000000000000
χ4922-2-22-2-1200-11-2-21233−3−32i2i−2i−2i-10-112-2-1112−22−23−30033−3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23002i−2i−i3−i3i3i3−i−iii-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000−i3i3−i2i2−i2i2−iiζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000
χ5022-2-22-2-1200-11-2-21233−3−32i2i−2i−2i-10-112-2-111−22−223−30033−3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23002i−2i−i3−i3i3i3−i−iii-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000−i3i3i2−i2i2−i2−ii−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
χ5122-2-22-2-1200-11-2-21233−3−3−2i−2i2i2i-10-112-2-1112−22−23−30033−3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300−2i2ii3i3−i3−i3ii−i−i-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000i3−i3i2−i2i2−i2i−i−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
χ5222-2-22-2-1200-11-2-21233−3−3−2i−2i2i2i-10-112-2-111−22−223−30033−3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300−2i2ii3i3−i3−i3ii−i−i-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000i3−i3−i2i2−i2i2i−iζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000
χ5322-2-22-2-1200-11-2-212−3−3332i2i−2i−2i-10-112-2-1112−22−2−3300−3−333ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7002i−2ii3i3−i3−i3−i−iii-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000i3−i3−i2i2−i2i2−iiζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ5422-2-22-2-1200-11-2-212−3−3332i2i−2i−2i-10-112-2-111−22−22−3300−3−333−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7002i−2ii3i3−i3−i3−i−iii-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000i3−i3i2−i2i2−i2−ii−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ5522-2-22-2-1200-11-2-212−3−333−2i−2i2i2i-10-112-2-1112−22−2−3300−3−333ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700−2i2i−i3−i3i3i3ii−i−i-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000−i3i3i2−i2i2−i2i−i−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ5622-2-22-2-1200-11-2-212−3−333−2i−2i2i2i-10-112-2-111−22−22−3300−3−333−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700−2i2i−i3−i3i3i3ii−i−i-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000−i3i3−i2i2−i2i2i−iζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ5722-2-2-2222002-2-2-2-2200002i2i−2i−2i20-22-222-2-22−2−22000000002−22−2−22−2200−2i2i00002i2i−2i−2i-220002−22−22−2−22−22−220000000−i2i2i2−i2−2i2i−i2i2−i2i2i2−i2i2−i200000000000000
χ5822-2-2-2222002-2-2-2-2200002i2i−2i−2i20-22-222-2-2−222−200000000−22−222−22−200−2i2i00002i2i−2i−2i-22000−22−22−222−22−22−20000000i2−i2−i2i2−2i2ii2−i2i2−i2−i2i2−i2i200000000000000
χ5922-2-2-2222002-2-2-2-220000−2i−2i2i2i20-22-222-2-22−2−22000000002−22−2−22−22002i−2i0000−2i−2i2i2i-220002−22−22−2−22−22−220000000i2−i2−i2i22i−2ii2−i2i2−i2−i2i2−i2i200000000000000
χ6022-2-2-2222002-2-2-2-220000−2i−2i2i2i20-22-222-2-2−222−200000000−22−222−22−2002i−2i0000−2i−2i2i2i-22000−22−22−222−22−22−20000000−i2i2i2−i22i−2i−i2i2−i2i2i2−i2i2−i200000000000000
χ6122-2-2-22-1200-11-2-21233−3−32i2i−2i−2i-101-1-22-1112−2−22−330033−3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300−2i2i−i3−i3i3i3−i−iii1-10−332−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000i3−i3−i2i2i2−i2i−iζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−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.