Finite Group Databasebeta

← Group #11863905

Character table — Group #11863905

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222222333344444444444444444444444444444666666666666888888888888888881212121212121212121212121212121212121212122424242424243636363648487272
order12223344446666661212121244442366666888812121212121212121212242424242424242422226666121212126661212242424242424242424242424224446688881212242424242424242424661212224461244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
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
χ711111111111111111111-1-1-1-11111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-111111111-1-11111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-11111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1111111-1-1
χ9111111-1-11111111111111111-11-1-111111-1-1-1-1-1-11111111111-1-1-1-111-1-111111111-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-1-1-1111-1-11
χ10111111-1-11111111111111111-11-1-111111-1-1-1-1-1-11111111111-1-1-1-111-1-111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-111-1
χ11111111-1-11111111111111111-11-1-1111-1-111-1-1-1-1111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1111-1-1-1-111-111-1
χ12111111-1-11111111111111111-11-1-1111-1-111-1-1-1-1111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-111-1-1-1-1-1-111111-1-1-11111-1-11-1-11
χ13111111-1-1111111111111-1-1-1-1-11-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-111-1-11111-1-1-1-111111-111-1-111-1-11-11-1
χ14111111-1-1111111111111-1-1-1-1-11-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-11111-11-1-111-1-111-11-11
χ15111111-1-1111111111111-1-1-1-1-11-1-1111-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111-1-1111111-1-1-1-1-1111-1-111-1-1-11-11
χ16111111-1-1111111111111-1-1-1-1-11-1-1111-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111-1-1111111-1-1-1-11-1-1-111-1-1111-11-1
χ1722222222-2-2222222-2-2-2-22222-22-2-222200002222-2-2-2-2-2-200000000-2-222-2-2-2-22222-2-2-22200000000000000-200220000-2-20000000000000000000000
χ1822222222-2-2222222-2-2-2-2-2-2-2-2-22-2-222200002222-2-2-2-2-2-20000000022-2-22222-2-2-2-2-2-2-22200000000000000200-2-20000220000000000000000000000
χ19222222-2-2-2-2222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-22222222-2-200000000000000200-2-20000220000000000000000000000
χ20222222-2-2-2-2222222-2-2-2-2-2-2-2-222222220000-2-2-2-2-2-2-2-2-2-20000000022222222-2-2-2-2222-2-200000000000000-200220000-2-20000000000000000000000
χ2122222-1222222-1-12-1222200002-122-1-1-1222222-1-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122022000000000000000022-1-1-1-10000-1-100
χ2222222-1222222-1-12-1222200002-122-1-1-1222222-1-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-20000000000000000-2-2111100001100
χ2322222-1222222-1-12-1222200002-122-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1111111111111220220000000000000000-2-2-1-1-1-100001100
χ2422222-1222222-1-12-1222200002-122-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1111111111111-2-20-2-200000000000000002211110000-1-100
χ2522222-1-2-22222-1-12-122220000-2-1-2-2-1-1-122-2-2-2-211-1-1-1-1-1-12222-2-2-2-200000000000011111-1-1-1-1-1-1111111220-2-200000000000000002-2-1-1110000-1100
χ2622222-1-2-22222-1-12-122220000-2-1-2-2-1-1-122-2-2-2-211-1-1-1-1-1-12222-2-2-2-200000000000011111-1-1-1-1-1-1111111-2-20220000000000000000-2211-1-100001-100
χ2722222-1-2-22222-1-12-122220000-2-1-2-2-1-1-1-2-222-2-211-1-1-1-1-1-1-2-2-2-2222200000000000011111111111-1-1-1-1-1-1220-2-20000000000000000-22-1-11100001-100
χ2822222-1-2-22222-1-12-122220000-2-1-2-2-1-1-1-2-222-2-211-1-1-1-1-1-1-2-2-2-2222200000000000011111111111-1-1-1-1-1-1-2-202200000000000000002-211-1-10000-1100
χ292222-122222-1-122-12-1-1-1-122222-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-100200-1-12222-1-1-1-1-1-1-1-1-1-100000000000000
χ302222-122222-1-122-12-1-1-1-122222-1-1-1-1-1-1-2-2-2-2-1-12222-1-1-1-1111111112222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-2-2111100200-1-1-2-2-2-2-1-11111111100000000000000
χ312222-122222-1-122-12-1-1-1-1-2-2-2-22-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111112-1-1-1-122-1-1-1-122-1-1-1-100-20011-2-2-2-2111111111100000000000000
χ322222-122222-1-122-12-1-1-1-1-2-2-2-22-1-1-1-1-1-1-2-2-2-2-1-12222-1-1-1-111111111-2-2-2-2111111112-1-1-1-1-2-21111-2-2111100-20011222211-1-1-1-1-1-1-1-100000000000000
χ332222-1222-2-2-1-122-1211112222-2-111-1-1-10000-1-122-2-2111133−3−333−3−3-2-2221111-1-1-1-1-211-1-10033−3−30033−3−300-200-1-100001133−3−333−3−300000000000000
χ342222-1222-2-2-1-122-1211112222-2-111-1-1-10000-1-122-2-21111−3−333−3−333-2-2221111-1-1-1-1-211-1-100−3−33300−3−33300-200-1-1000011−3−333−3−33300000000000000
χ352222-1222-2-2-1-122-121111-2-2-2-2-2-111-1-1-10000-1-122-2-2111133−3−333−3−322-2-2-1-1-1-11111-211-1-10033−3−30033−3−300200110000-1-1−3−333−3−33300000000000000
χ362222-1222-2-2-1-122-121111-2-2-2-2-2-111-1-1-10000-1-122-2-21111−3−333−3−33322-2-2-1-1-1-11111-211-1-100−3−33300−3−33300200110000-1-133−3−333−3−300000000000000
χ372222-12-2-222-1-122-12-1-1-1-12222-2-111-1-1-122-2-211-2-222-1-1-1-1-1-1-1-1111122-2-2-1-1-1-1-1-1-1-1-2111122-1-1-1-1-2-2111100-2001122-2-211-1-1-1-1111100000000000000
χ382222-12-2-222-1-122-12-1-1-1-12222-2-111-1-1-1-2-22211-2-222-1-1-1-11111-1-1-1-122-2-2-1-1-1-1-1-1-1-1-21111-2-2111122-1-1-1-100-20011-2-222111111-1-1-1-100000000000000
χ392222-12-2-222-1-122-12-1-1-1-1-2-2-2-2-2-111-1-1-122-2-211-2-222-1-1-1-1-1-1-1-11111-2-22211111111-2111122-1-1-1-1-2-2111100200-1-1-2-222-1-11111-1-1-1-100000000000000
χ402222-12-2-222-1-122-12-1-1-1-1-2-2-2-2-2-111-1-1-1-2-22211-2-222-1-1-1-11111-1-1-1-1-2-22211111111-21111-2-2111122-1-1-1-100200-1-122-2-2-1-1-1-1-1-1111100000000000000
χ412222-12-2-2-2-2-1-122-12111122222-1-1-1-1-1-1000011-2-2-2-2111133−3−3−3−333-2-2-2-21111-1-1-1-12-1-1110033−3−300−3−33300200110000-1-133−3−3−3−33300000000000000
χ422222-12-2-2-2-2-1-122-12111122222-1-1-1-1-1-1000011-2-2-2-21111−3−33333−3−3-2-2-2-21111-1-1-1-12-1-11100−3−3330033−3−300200110000-1-1−3−33333−3−300000000000000
χ432222-12-2-2-2-2-1-122-121111-2-2-2-22-1-1-1-1-1-1000011-2-2-2-2111133−3−3−3−3332222-1-1-1-111112-1-1110033−3−300−3−33300-200-1-1000011−3−33333−3−300000000000000
χ442222-12-2-2-2-2-1-122-121111-2-2-2-22-1-1-1-1-1-1000011-2-2-2-21111−3−33333−3−32222-1-1-1-111112-1-11100−3−3330033−3−300-200-1-100001133−3−3−3−33300000000000000
χ452-22-2222i−2i002-22-2-2-200002i2i−2i−2i02002-2-22−2−i2i22i−2i2i−2i0000002−22−2−i2i2−i2i2002-200002i2i−2i−2i0002i−2i2−22−22−2−i2i2−i2i2−i2i2000002-2−i2i22−200−i2i2−i2i22−22−200000000000000
χ462-22-2222i−2i002-22-2-2-200002i2i−2i−2i02002-2-2−22i2−i22i−2i2i−2i000000−22−22i2−i2i2−i2002-200002i2i−2i−2i0002i−2i−22−22−22i2−i2i2−i2i2−i2000002-2i2−i2−2200i2−i2i2−i2−22−2200000000000000
χ472-22-2222i−2i002-22-2-2-20000−2i−2i2i2i02002-2-22−2−i2i22i−2i2i−2i0000002−22−2−i2i2−i2i200-220000−2i−2i2i2i0002i−2i2−22−22−2−i2i2−i2i2−i2i200000-22i2−i2−2200i2−i2i2−i2−22−2200000000000000
χ482-22-2222i−2i002-22-2-2-20000−2i−2i2i2i02002-2-2−22i2−i22i−2i2i−2i000000−22−22i2−i2i2−i200-220000−2i−2i2i2i0002i−2i−22−22−22i2−i2i2−i2i2−i200000-22−i2i22−200−i2i2−i2i22−22−200000000000000
χ492-22-222−2i2i002-22-2-2-200002i2i−2i−2i02002-2-22−2i2−i2−2i2i−2i2i0000002−22−2i2−i2i2−i200-2200002i2i−2i−2i000−2i2i2−22−22−2i2−i2i2−i2i2−i200000-22−i2i2−2200−i2i2−i2i2−22−2200000000000000
χ502-22-222−2i2i002-22-2-2-200002i2i−2i−2i02002-2-2−22−i2i2−2i2i−2i2i000000−22−22−i2i2−i2i200-2200002i2i−2i−2i000−2i2i−22−22−22−i2i2−i2i2−i2i200000-22i2−i22−200i2−i2i2−i22−22−200000000000000
χ512-22-222−2i2i002-22-2-2-20000−2i−2i2i2i02002-2-22−2i2−i2−2i2i−2i2i0000002−22−2i2−i2i2−i2002-20000−2i−2i2i2i000−2i2i2−22−22−2i2−i2i2−i2i2−i2000002-2i2−i22−200i2−i2i2−i22−22−200000000000000
χ522-22-222−2i2i002-22-2-2-20000−2i−2i2i2i02002-2-2−22−i2i2−2i2i−2i2i000000−22−22−i2i2−i2i2002-20000−2i−2i2i2i000−2i2i−22−22−22−i2i2−i2i2−i2i2000002-2−i2i2−2200−i2i2−i2i2−22−2200000000000000
χ532-22-2-122i−2i00-112-21-233−3−32i2i−2i−2i0-1−i3i3-1112−2−i2i2−ii2i−2i0033−3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7002-2−i3−i3i3i3−i−iii0−i3i3−ii2−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000-11−i2i22−23−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000
χ542-22-2-122i−2i00-112-21-233−3−32i2i−2i−2i0-1−i3i3-111−22i2−i2−ii2i−2i0033−3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7002-2−i3−i3i3i3−i−iii0−i3i3−ii−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000-11i2−i2−223−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
χ552-22-2-122i−2i00-112-21-233−3−3−2i−2i2i2i0-1−i3i3-1112−2−i2i2−ii2i−2i0033−3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700-22i3i3−i3−i3ii−i−i0−i3i3−ii2−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000001-1i2−i2−22−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
χ562-22-2-122i−2i00-112-21-233−3−3−2i−2i2i2i0-1−i3i3-111−22i2−i2−ii2i−2i0033−3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700-22i3i3−i3−i3ii−i−i0−i3i3−ii−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000001-1−i2i22−2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000
χ572-22-2-122i−2i00-112-21-2−3−3332i2i−2i−2i0-1i3−i3-1112−2−i2i2−ii2i−2i00−3−333ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23002-2i3i3−i3−i3−i−iii0i3−i3−ii2−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000-11−i2i22−2−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000
χ582-22-2-122i−2i00-112-21-2−3−3332i2i−2i−2i0-1i3−i3-111−22i2−i2−ii2i−2i00−3−333−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23002-2i3i3−i3−i3−i−iii0i3−i3−ii−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000-11i2−i2−22−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−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.