Finite Group Databasebeta

← Group #11921309

Character table — Group #11921309

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222444444444444444466666688888888888812121212121616161616161616161616161616161624242424242424242424242436364848484872
order122234466633446666661212121212124488883366666612121212224121212121212121212121212121212121212412121224242424242424248866664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-1111111-1-1-1-111111111111111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1
χ4111111111111-1-1111111-1-1-1-11111-1-1-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321
χ61111111111−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32-1
χ71111111111−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-11-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111+i321+i321−i321−i32-1
χ81111111111−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-11-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1−1−i32−1−i32−1+i32−1+i321
χ91111111111−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321
χ101111111111−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32-1
χ111111111111−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-11-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−i321−i321+i321+i32-1
χ121111111111−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-11-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1−1+i32−1+i32−1−i32−1−i321
χ1322222-2-222222002222220000-2-222000022222222-2-2-2-200-2220000-2-2-2-2000000000-200000000000000000
χ1422222-2-2222−1−i3−1+i300−1−i3−1+i3−1−i3−1+i3−1−i3−1+i30000-2-2220000−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i300-22200001+i31+i31−i31−i3000000000-200000000000000000
χ1522222-2-2222−1+i3−1−i300−1+i3−1−i3−1+i3−1−i3−1+i3−1−i30000-2-2220000−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i300-22200001−i31−i31+i31+i3000000000-200000000000000000
χ162222-122-1-1-12222222222-1-1-1-1-1-1220000-1-1-1-1-1-1-1-12222002-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1000000000000000
χ172222-122-1-1-122-2-22222221111-1-1220000-1-1-1-1-1-1-1-12222002-1-1-2-2-2-2-1-1-1-111111111-2-111000000000000000
χ182222-122-1-1-1−1−i3−1+i322−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-12200001+i321−i321+i321−i321+i321−i321+i321−i32−1−i3−1+i3−1−i3−1+i3002-1-1−1−i3−1−i3−1+i3−1+i31+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i322-1-1-1000000000000000
χ192222-122-1-1-1−1−i3−1+i3-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31111-1-12200001+i321−i321+i321−i321+i321−i321+i321−i32−1−i3−1+i3−1−i3−1+i3002-1-11+i31+i31−i31−i31+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-2-111000000000000000
χ202222-122-1-1-1−1+i3−1−i322−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-12200001−i321+i321−i321+i321−i321+i321−i321+i32−1+i3−1−i3−1+i3−1−i3002-1-1−1+i3−1+i3−1−i3−1−i31−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i322-1-1-1000000000000000
χ212222-122-1-1-1−1+i3−1−i3-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31111-1-12200001−i321+i321−i321+i321−i321+i321−i321+i32−1+i3−1−i3−1+i3−1−i3002-1-11−i31−i31+i31+i31−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-2-111000000000000000
χ222222-1-2-2-1-1-12200222222−i3−i3i3i311220000-1-1-1-1-1-1-1-1-2-2-2-200-2-1-100001111−i3−i3i3i3−i3−i3i3i301−i3i3000000000000000
χ232222-1-2-2-1-1-12200222222i3i3−i3−i311220000-1-1-1-1-1-1-1-1-2-2-2-200-2-1-100001111i3i3−i3−i3i3i3−i3−i301i3−i3000000000000000
χ242222-1-2-2-1-1-1−1−i3−1+i300−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−i3−i3i3i3112200001+i321−i321+i321−i321+i321−i321+i321−i321+i31−i31+i31−i300-2-1-10000−1−i32−1−i32−1+i32−1+i32−3+i32−3+i323−i323−i323+i323+i32−3−i32−3−i3201−i3i3000000000000000
χ252222-1-2-2-1-1-1−1−i3−1+i300−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3i3i3−i3−i3112200001+i321−i321+i321−i321+i321−i321+i321−i321+i31−i31+i31−i300-2-1-10000−1−i32−1−i32−1+i32−1+i323−i323−i32−3+i32−3+i32−3−i32−3−i323+i323+i3201i3−i3000000000000000
χ262222-1-2-2-1-1-1−1+i3−1−i300−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−i3−i3i3i3112200001−i321+i321−i321+i321−i321+i321−i321+i321−i31+i31−i31+i300-2-1-10000−1+i32−1+i32−1−i32−1−i323+i323+i32−3−i32−3−i32−3+i32−3+i323−i323−i3201−i3i3000000000000000
χ272222-1-2-2-1-1-1−1+i3−1−i300−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3i3i3−i3−i3112200001−i321+i321−i321+i321−i321+i321−i321+i321−i31+i31−i31+i300-2-1-10000−1+i32−1+i32−1−i32−1−i32−3−i32−3−i323+i323+i323−i323−i32−3+i32−3+i3201i3−i3000000000000000
χ282-22-22-22-2-22-1-12i−2i11-1-1112i−2i2i−2i2-2002i2i−2i−2i-1-111-1-111-1-1112-2000i−ii−i1-11-1i−ii−ii−ii−i0000ii−i−iii−i−i001-11-10
χ292-22-22-22-2-22-1-12i−2i11-1-1112i−2i2i−2i2-200−2i−2i2i2i-1-111-1-111-1-111-22000i−ii−i1-11-1i−ii−ii−ii−i0000−i−iii−i−iii00-11-110
χ302-22-22-22-2-22-1-1−2i2i11-1-111−2i2i−2i2i2-2002i2i−2i−2i-1-111-1-111-1-111-22000−ii−ii1-11-1−ii−ii−ii−ii0000ii−i−iii−i−i00-11-110
χ312-22-22-22-2-22-1-1−2i2i11-1-111−2i2i−2i2i2-200−2i−2i2i2i-1-111-1-111-1-1112-2000−ii−ii1-11-1−ii−ii−ii−ii0000−i−iii−i−iii001-11-10
χ322-22-22-22-2-221+i321−i322i−2i−1−i32−1+i321+i321−i32−1−i32−1+i322i−2i2i−2i2-2002i2i−2i−2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i322-2000ζ22−ζ22ζ14−ζ14−1−i321+i32−1+i321−i32ζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ140000ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ1400−1−i321+i32−1+i321−i320
χ332-22-22-22-2-221+i321−i322i−2i−1−i32−1+i321+i321−i32−1−i32−1+i322i−2i2i−2i2-200−2i−2i2i2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-22000ζ22−ζ22ζ14−ζ14−1−i321+i32−1+i321−i32ζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ140000−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14001+i32−1−i321−i32−1+i320
χ342-22-22-22-2-221+i321−i32−2i2i−1−i32−1+i321+i321−i32−1−i32−1+i32−2i2i−2i2i2-2002i2i−2i−2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-22000−ζ22ζ22−ζ14ζ14−1−i321+i32−1+i321−i32−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ140000ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14001+i32−1−i321−i32−1+i320
χ352-22-22-22-2-221+i321−i32−2i2i−1−i32−1+i321+i321−i32−1−i32−1+i32−2i2i−2i2i2-200−2i−2i2i2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i322-2000−ζ22ζ22−ζ14ζ14−1−i321+i32−1+i321−i32−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ140000−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ1400−1−i321+i32−1+i321−i320
χ362-22-22-22-2-221−i321+i322i−2i−1+i32−1−i321−i321+i32−1+i32−1−i322i−2i2i−2i2-2002i2i−2i−2i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i322-2000ζ14−ζ14ζ22−ζ22−1+i321−i32−1−i321+i32ζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ220000ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ2200−1+i321−i32−1−i321+i320
χ372-22-22-22-2-221−i321+i322i−2i−1+i32−1−i321−i321+i32−1+i32−1−i322i−2i2i−2i2-200−2i−2i2i2i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32-22000ζ14−ζ14ζ22−ζ22−1+i321−i32−1−i321+i32ζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ220000−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22001−i32−1+i321+i32−1−i320
χ382-22-22-22-2-221−i321+i32−2i2i−1+i32−1−i321−i321+i32−1+i32−1−i32−2i2i−2i2i2-2002i2i−2i−2i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32-22000−ζ14ζ14−ζ22ζ22−1+i321−i32−1−i321+i32−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ220000ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22001−i32−1+i321+i32−1−i320
χ392-22-22-22-2-221−i321+i32−2i2i−1+i32−1−i321−i321+i32−1+i32−1−i32−2i2i−2i2i2-200−2i−2i2i2i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i322-2000−ζ14ζ14−ζ22ζ22−1+i321−i32−1−i321+i32−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ220000−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ2200−1+i321−i32−1−i321+i320
χ402-2-222002-2-2220022-2-2-2-20000002-2−i2i2−i2i22222-2-2-2-200000002-200000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i200000
χ412-2-222002-2-2220022-2-2-2-20000002-2i2−i2i2−i22222-2-2-2-200000002-200000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i200000
χ422-2-222002-2-2−1−i3−1+i300−1−i3−1+i31+i31−i31+i31−i30000002-2−i2i2−i2i2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i300000002-200000000000000000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−i2i200000
χ432-2-222002-2-2−1−i3−1+i300−1−i3−1+i31+i31−i31+i31−i30000002-2i2−i2i2−i2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i300000002-200000000000000000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23i2−i200000
χ442-2-222002-2-2−1+i3−1−i300−1+i3−1−i31−i31+i31−i31+i30000002-2−i2i2−i2i2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i300000002-200000000000000000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−i2i200000
χ452-2-222002-2-2−1+i3−1−i300−1+i3−1−i31−i31+i31−i31+i30000002-2i2−i2i2−i2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i300000002-200000000000000000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13i2−i200000
χ4633333333330033000000333333-1-1333300000000000033-1-1-10000000000000000-1-1-1-100000000-1-10000-1
χ4733333333330033000000333333-1-1-3-3-3-3000000000000-3-3-1-1-10000000000000000-1-1-1-1000000001100001
χ48333333333300-3-3000000-3-3-3-333-1-13333000000000000-3-3-1-1-100000000000000001-11100000000-1-100001
χ49333333333300-3-3000000-3-3-3-333-1-1-3-3-3-300000000000033-1-1-100000000000000001-11100000000110000-1
χ5044-4-4400-44-4-2-2002222-2-20000000022−22−2222-2-22222-2-2000000000000000000000000000002−2−222−2−220000000
χ5144-4-4400-44-4-2-2002222-2-200000000−222222−22-2-22222-2-200000000000000000000000000000−222−2−222−20000000
χ5244-4-4400-44-41+i31−i300−1−i3−1+i3−1−i3−1+i31+i31−i30000000022−22−22221+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i300000000000000000000000000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ230000000
χ5344-4-4400-44-41+i31−i300−1−i3−1+i3−1−i3−1+i31+i31−i300000000−222222−221+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i300000000000000000000000000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ230000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.