Finite Group Databasebeta

← Group #11921349

Character table — Group #11921349

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112222244444446666668888888888888121212161616161616242424242424242424242424243232323232323636729696
order123468833661224242416161616334661212121224242424681212122424242422662448484848484848481212121212121616466
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-111-1-1111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1
χ31111111111111111-1-1-1-111111111111111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1
χ41111111111111111-1-1-1-111-111-1-1111111111111111-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−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+i32111−1−i32−1+i32
χ61111111−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i32-1−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i321+i321+i321−i321−i3211-11+i321−i32
χ71111111−1−i32−1+i32−1−i32−1+i3211111-1-1-1-1−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-11+i321−i32
χ81111111−1−i32−1+i32−1−i32−1+i3211111-1-1-1-1−1−i32−1+i32-1−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-1-111+i321+i321+i321+i321−i321−i321−i321−i321+i321−i321+i321+i321−i321−i32-1-11−1−i32−1+i32
χ91111111−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+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−i32111−1+i32−1−i32
χ101111111−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i32-1−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i321−i321−i321+i321+i3211-11−i321+i32
χ111111111−1+i32−1−i32−1+i32−1−i3211111-1-1-1-1−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-11−i321+i32
χ121111111−1+i32−1−i32−1+i32−1−i3211111-1-1-1-1−1+i32−1−i32-1−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-1-111−i321−i321−i321−i321+i321+i321+i321+i321−i321+i321−i321−i321+i321+i32-1-11−1+i32−1−i32
χ1322222-2-222222-2-2220000220220022-2-2-2-22-2222-2-2-2-20000-20000000000000000000
χ1422222-2-2−1−i3−1+i3−1−i3−1+i32-2-2220000−1−i3−1+i30−1−i3−1+i300−1−i3−1+i31+i31+i31−i31−i32-22−1−i3−1+i31+i31+i31−i31−i30000-20000000000000000000
χ1522222-2-2−1+i3−1−i3−1+i3−1−i32-2-2220000−1+i3−1−i30−1+i3−1−i300−1+i3−1−i31−i31−i31+i31+i32-22−1+i3−1−i31−i31−i31+i31+i30000-20000000000000000000
χ16222-22002222-200-2222−2−22202200-2-20000-202-2-200000000022−2−222−2−20000002−2000
χ17222-22002222-200-22−2−2222202200-2-20000-202-2-2000000000−2−222−2−222000000−22000
χ18222-2200−1−i3−1+i3−1−i3−1+i3-200-2222−2−2−1−i3−1+i30−1−i3−1+i3001+i31−i30000-2021+i31−i3000000000−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ26ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ460000002−2000
χ19222-2200−1−i3−1+i3−1−i3−1+i3-200-22−2−222−1−i3−1+i30−1−i3−1+i3001+i31−i30000-2021+i31−i3000000000ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ26−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ46000000−22000
χ20222-2200−1+i3−1−i3−1+i3−1−i3-200-2222−2−2−1+i3−1−i30−1+i3−1−i3001−i31+i30000-2021−i31+i3000000000ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ46−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ260000002−2000
χ21222-2200−1+i3−1−i3−1+i3−1−i3-200-22−2−222−1+i3−1−i30−1+i3−1−i3001−i31+i30000-2021−i31+i3000000000−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ46ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ26000000−22000
χ2222-12-1222222-1-1-1220000-1-12-1-1-1-1222222-12-1-1-1-1-1-1-120-1-1-10000000022-1-1-1-100000
χ2322-12-1222222-1-1-1220000-1-1-2-1-111222222-12-1-1-1-1-1-1-1-2011-100000000-2-2111100000
χ2422-12-122−1−i3−1+i3−1−i3−1+i3-1-1-12200001+i321−i3221+i321−i32-1-1−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-12-11+i321−i321+i321+i321−i321−i3220-1-1-100000000−1−i3−1+i31+i321+i321−i321−i3200000
χ2522-12-122−1−i3−1+i3−1−i3−1+i3-1-1-12200001+i321−i32-21+i321−i3211−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-12-11+i321−i321+i321+i321−i321−i32-2011-1000000001+i31−i3−1−i32−1−i32−1+i32−1+i3200000
χ2622-12-122−1+i3−1−i3−1+i3−1−i3-1-1-12200001−i321+i3221−i321+i32-1-1−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-12-11−i321+i321−i321−i321+i321+i3220-1-1-100000000−1+i3−1−i31−i321−i321+i321+i3200000
χ2722-12-122−1+i3−1−i3−1+i3−1−i3-1-1-12200001−i321+i32-21−i321+i3211−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-12-11−i321+i321−i321−i321+i321+i32-2011-1000000001−i31+i3−1+i32−1+i32−1−i32−1−i3200000
χ2822-12-1-2-22222-111220000-1-10-1-1−i3i322-2-2-2-2-1-2-1-1-1111100−i3i310000000000−i3i3−i3i300000
χ2922-12-1-2-22222-111220000-1-10-1-1i3−i322-2-2-2-2-1-2-1-1-1111100i3−i310000000000i3−i3i3−i300000
χ3022-12-1-2-2−1−i3−1+i3−1−i3−1+i3-1112200001+i321−i3201+i321−i32−i3i3−1−i3−1+i31+i31+i31−i31−i3-1-2-11+i321−i32−1−i32−1−i32−1+i32−1+i3200−i3i310000000000−3+i323−i323+i32−3−i3200000
χ3122-12-1-2-2−1−i3−1+i3−1−i3−1+i3-1112200001+i321−i3201+i321−i32i3−i3−1−i3−1+i31+i31+i31−i31−i3-1-2-11+i321−i32−1−i32−1−i32−1+i32−1+i3200i3−i3100000000003−i32−3+i32−3−i323+i3200000
χ3222-12-1-2-2−1+i3−1−i3−1+i3−1−i3-1112200001−i321+i3201−i321+i32−i3i3−1+i3−1−i31−i31−i31+i31+i3-1-2-11−i321+i32−1+i32−1+i32−1−i32−1−i3200−i3i3100000000003+i32−3−i32−3+i323−i3200000
χ3322-12-1-2-2−1+i3−1−i3−1+i3−1−i3-1112200001−i321+i3201−i321+i32i3−i3−1+i3−1−i31−i31−i31+i31+i3-1-2-11−i321+i32−1+i32−1+i32−1−i32−1−i3200i3−i310000000000−3−i323+i323−i32−3+i3200000
χ3433333330000333-1-133330030033000000-1-1-1000000-13-1-1-100000000000000-1-1-100
χ3533333330000333-1-1333300-300-3-3000000-1-1-10000001-311-100000000000000-1-1100
χ3633333330000333-1-1-3-3-3-30030033000000-1-1-1000000-1-3-1-1-10000000000000011100
χ3733333330000333-1-1-3-3-3-300-300-3-3000000-1-1-10000001311-10000000000000011-100
χ3844-2-4-2004444200-440000-2-20-2-200-4-4000020-2220000000000000000000000000000
χ3944-2-4-200−2−2i3−2+2i3−2−2i3−2+2i3200-4400001+i31−i301+i31−i3002+2i32−2i3000020-2−1−i3−1+i30000000000000000000000000000
χ4044-2-4-200−2+2i3−2−2i3−2+2i3−2−2i3200-4400001−i31+i301−i31+i3002−2i32+2i3000020-2−1+i3−1−i30000000000000000000000000000
χ414-440-422−22-2-222022−2200−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43-2-202200002−22−2000002−22−200000−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ4300000000000
χ424-440-422−22-2-222022−22002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43-2-202200002−22−2000002−22−200000ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ4300000000000
χ434-440-422−221+i31−i3−1−i3−1+i3022−2200−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ431+i31−i30−1−i3−1+i30000−ζ14+ζ26ζ14−ζ26ζ10−ζ46−ζ10+ζ4600000−ζ14+ζ26ζ14−ζ26ζ10−ζ46−ζ10+ζ4600000ζ41+ζ47−ζ41−ζ47−ζ11−ζ29ζ11+ζ29ζ25+ζ31−ζ25−ζ31−ζ13−ζ43ζ13+ζ4300000000000
χ444-440-422−221+i31−i3−1−i3−1+i3022−22002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ431+i31−i30−1−i3−1+i30000−ζ14+ζ26ζ14−ζ26ζ10−ζ46−ζ10+ζ4600000−ζ14+ζ26ζ14−ζ26ζ10−ζ46−ζ10+ζ4600000−ζ41−ζ47ζ41+ζ47ζ11+ζ29−ζ11−ζ29−ζ25−ζ31ζ25+ζ31ζ13+ζ43−ζ13−ζ4300000000000
χ454-440-422−221−i31+i3−1+i3−1−i3022−2200−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ431−i31+i30−1+i3−1−i30000ζ10−ζ46−ζ10+ζ46−ζ14+ζ26ζ14−ζ2600000ζ10−ζ46−ζ10+ζ46−ζ14+ζ26ζ14−ζ2600000ζ25+ζ31−ζ25−ζ31−ζ13−ζ43ζ13+ζ43ζ41+ζ47−ζ41−ζ47−ζ11−ζ29ζ11+ζ2900000000000
χ464-440-422−221−i31+i3−1+i3−1−i3022−22002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ431−i31+i30−1+i3−1−i30000ζ10−ζ46−ζ10+ζ46−ζ14+ζ26ζ14−ζ2600000ζ10−ζ46−ζ10+ζ46−ζ14+ζ26ζ14−ζ2600000−ζ25−ζ31ζ25+ζ31ζ13+ζ43−ζ13−ζ43−ζ41−ζ47ζ41+ζ47ζ11+ζ29−ζ11−ζ2900000000000
χ474-440-4−2222-2-2220−2222002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47-2-20220000−22−2200000−22−2200000ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ4700000000000
χ484-440-4−2222-2-2220−222200−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47-2-20220000−22−2200000−22−2200000−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ4700000000000
χ494-440-4−22221+i31−i3−1−i3−1+i30−2222002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ471+i31−i30−1−i3−1+i30000ζ14−ζ26−ζ14+ζ26−ζ10+ζ46ζ10−ζ4600000ζ14−ζ26−ζ14+ζ26−ζ10+ζ46ζ10−ζ4600000−ζ11−ζ29ζ11+ζ29−ζ41−ζ47ζ41+ζ47−ζ13−ζ43ζ13+ζ43−ζ25−ζ31ζ25+ζ3100000000000
χ504-440-4−22221+i31−i3−1−i3−1+i30−222200−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ471+i31−i30−1−i3−1+i30000ζ14−ζ26−ζ14+ζ26−ζ10+ζ46ζ10−ζ4600000ζ14−ζ26−ζ14+ζ26−ζ10+ζ46ζ10−ζ4600000ζ11+ζ29−ζ11−ζ29ζ41+ζ47−ζ41−ζ47ζ13+ζ43−ζ13−ζ43ζ25+ζ31−ζ25−ζ3100000000000
χ514-440-4−22221−i31+i3−1+i3−1−i30−2222002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ471−i31+i30−1+i3−1−i30000−ζ10+ζ46ζ10−ζ46ζ14−ζ26−ζ14+ζ2600000−ζ10+ζ46ζ10−ζ46ζ14−ζ26−ζ14+ζ2600000−ζ13−ζ43ζ13+ζ43−ζ25−ζ31ζ25+ζ31−ζ11−ζ29ζ11+ζ29−ζ41−ζ47ζ41+ζ4700000000000
χ524-440-4−22221−i31+i3−1+i3−1−i30−222200−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ471−i31+i30−1+i3−1−i30000−ζ10+ζ46ζ10−ζ46ζ14−ζ26−ζ14+ζ2600000−ζ10+ζ46ζ10−ζ46ζ14−ζ26−ζ14+ζ2600000ζ13+ζ43−ζ13−ζ43ζ25+ζ31−ζ25−ζ31ζ11+ζ29−ζ11−ζ29ζ41+ζ47−ζ41−ζ4700000000000
χ5366666-6-600006-6-6-2-200000000000000000-22-2000000000020000000000000000000
χ54666-66000000-6002-23232−32−32000000000000020-20000000000000000000000000−22000
χ55666-66000000-6002-2−32−323232000000000000020-200000000000000000000000002−2000
χ5666-36-3660000-3-3-3-2-2000000600-3-30000001-21000000-201110000000000000000000
χ5766-36-3660000-3-3-3-2-2000000-600330000001-2100000020-1-110000000000000000000
χ5866-36-3-6-60000-333-2-2000000000−3i33i300000012100000000i3−i3-10000000000000000000
χ5966-36-3-6-60000-333-2-20000000003i3−3i300000012100000000−i3i3-10000000000000000000
χ608-8-40442−42-4-4440−2222000000220-2-2000022−2222−2200000−22−22000000000000000000000000
χ618-8-40442−422+2i32−2i3−2−2i3−2+2i30−2222000000−1−i3−1+i301+i31−i30000−2ζ14+2ζ262ζ14−2ζ262ζ10−2ζ46−2ζ10+2ζ4600000ζ14−ζ26−ζ14+ζ26−ζ10+ζ46ζ10−ζ46000000000000000000000000
χ628-8-40442−422−2i32+2i3−2+2i3−2−2i30−2222000000−1+i3−1−i301−i31+i300002ζ10−2ζ46−2ζ10+2ζ46−2ζ14+2ζ262ζ14−2ζ2600000−ζ10+ζ46ζ10−ζ46ζ14−ζ26−ζ14+ζ26000000000000000000000000
χ638-8-404−4242-4-444022−22000000220-2-20000−2222−2222000002−22−2000000000000000000000000
χ648-8-404−42422+2i32−2i3−2−2i3−2+2i3022−22000000−1−i3−1+i301+i31−i300002ζ14−2ζ26−2ζ14+2ζ26−2ζ10+2ζ462ζ10−2ζ4600000−ζ14+ζ26ζ14−ζ26ζ10−ζ46−ζ10+ζ46000000000000000000000000
χ658-8-404−42422−2i32+2i3−2+2i3−2−2i3022−22000000−1+i3−1−i301−i31+i30000−2ζ10+2ζ462ζ10−2ζ462ζ14−2ζ26−2ζ14+2ζ2600000ζ10−ζ46−ζ10+ζ46−ζ14+ζ26ζ14−ζ26000000000000000000000000
χ661212-6-12-60000006004-400000000000000000-202000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.