Finite Group Databasebeta

← Group #11796611

Character table — Group #11796611

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11112222222222222222222222444444444444444444444444888888888888888888181818181818181872721111222222222222222222222244444444444444444444444488888888888888888818181818181818187272
order122233334466666666666688881212121212121212242424242424242424242424242424244412121212121212121212121212121212161616161616161644222266664466666666666688881212121212121212242424242424242424242424242424244412121212121212121212121212121212161616161616161644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51-1-111111-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i1-11-1-111111-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i1-1
χ61-1-111111-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-111-1-111111-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-11
χ71-1-111111-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-111-1-111111-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-11
χ81-1-111111-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1-11-1-111111-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1-1
χ92222222222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000002222222222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ1022222222-2-22222222222220000-2-2-2-2-2-2-2-2000000000000000000000000000000000022−2−222−2−20022222222-2-22222222222220000-2-2-2-2-2-2-2-2000000000000000000000000000000000022−2−222−2−200
χ1122222222-2-22222222222220000-2-2-2-2-2-2-2-20000000000000000000000000000000000−2−222−2−2220022222222-2-22222222222220000-2-2-2-2-2-2-2-20000000000000000000000000000000000−2−222−2−22200
χ1222222-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1000000000022222-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-10000000000
χ1322222-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-2111111000000000022222-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-21111110000000000
χ1422222-1-1-1222-1-1-12-1-1-12-1-1-1-2-2-2-22-1-1-12-1-1-1-2-2111111-2-21111110000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000000022222-1-1-1222-1-1-12-1-1-12-1-1-1-2-2-2-22-1-1-12-1-1-1-2-2111111-2-21111110000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i30000000000
χ1522222-1-1-1222-1-1-12-1-1-12-1-1-1-2-2-2-22-1-1-12-1-1-1-2-2111111-2-21111110000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3000000000022222-1-1-1222-1-1-12-1-1-12-1-1-1-2-2-2-22-1-1-12-1-1-1-2-2111111-2-21111110000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i30000000000
χ162222-12-1-122-12-1-1-12-1-1-12-1-12222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-12-1-12-1-1-1-12-1-12-1-100000000002222-12-1-122-12-1-1-12-1-1-12-1-12222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-12-1-12-1-1-1-12-1-12-1-10000000000
χ172222-12-1-122-12-1-1-12-1-1-12-1-12222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-211-211-21111-211-21100000000002222-12-1-122-12-1-1-12-1-1-12-1-12222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-211-211-21111-211-2110000000000
χ182222-12-1-122-12-1-1-12-1-1-12-1-1-2-2-2-2-12-1-1-12-1-111-2-2111111-2-2111100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i300000000002222-12-1-122-12-1-1-12-1-1-12-1-1-2-2-2-2-12-1-1-12-1-111-2-2111111-2-2111100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30000000000
χ192222-12-1-122-12-1-1-12-1-1-12-1-1-2-2-2-2-12-1-1-12-1-111-2-2111111-2-2111100i3−i30i3−i30i3−i3i3−i30i3−i30i3−i300000000002222-12-1-122-12-1-1-12-1-1-12-1-1-2-2-2-2-12-1-1-12-1-111-2-2111111-2-2111100i3−i30i3−i30i3−i3i3−i30i3−i30i3−i30000000000
χ202222-1-12-122-1-12-1-1-12-1-1-12-12222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-12-1-1-12-1-1-12-1-1-1200000000002222-1-12-122-1-12-1-1-12-1-1-12-12222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-12-1-1-12-1-1-12-1-1-120000000000
χ212222-1-12-122-1-12-1-1-12-1-1-12-12222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2111-2111-2111-2111-200000000002222-1-12-122-1-12-1-1-12-1-1-12-12222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2111-2111-2111-2111-20000000000
χ222222-1-12-122-1-12-1-1-12-1-1-12-1-2-2-2-2-1-12-1-1-12-11111-2-2111111-2-21100−i3i3i30−i3−i3i30−i3i3i30−i3−i3i3000000000002222-1-12-122-1-12-1-1-12-1-1-12-1-2-2-2-2-1-12-1-1-12-11111-2-2111111-2-21100−i3i3i30−i3−i3i30−i3i3i30−i3−i3i300000000000
χ232222-1-12-122-1-12-1-1-12-1-1-12-1-2-2-2-2-1-12-1-1-12-11111-2-2111111-2-21100i3−i3−i30i3i3−i30i3−i3−i30i3i3−i3000000000002222-1-12-122-1-12-1-1-12-1-1-12-1-2-2-2-2-1-12-1-1-12-11111-2-2111111-2-21100i3−i3−i30i3i3−i30i3−i3−i30i3i3−i300000000000
χ242222-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-12-12-1-1-1-1-12-12-100000000002222-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-12-12-1-1-1-1-12-12-10000000000
χ252222-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2-21111-21-211111-21-2100000000002222-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2-21111-21-211111-21-210000000000
χ262222-1-1-1222-1-1-12-1-1-12-1-1-12-2-2-2-2-1-1-12-1-1-12111111-2-2111111-2-200−i3i3−i3i30i30−i3−i3i3−i3i30i30−i300000000002222-1-1-1222-1-1-12-1-1-12-1-1-12-2-2-2-2-1-1-12-1-1-12111111-2-2111111-2-200−i3i3−i3i30i30−i3−i3i3−i3i30i30−i30000000000
χ272222-1-1-1222-1-1-12-1-1-12-1-1-12-2-2-2-2-1-1-12-1-1-12111111-2-2111111-2-200i3−i3i3−i30−i30i3i3−i3i3−i30−i30i300000000002222-1-1-1222-1-1-12-1-1-12-1-1-12-2-2-2-2-1-1-12-1-1-12111111-2-2111111-2-200i3−i3i3−i30−i30i3i3−i3i3−i30−i30i30000000000
χ2822-2-22222002222-2-2-2-2-2-2-2-22−22−2000000002−22−22−22−22−22−22−22−2000000000000000000−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−ζ430022-2-22222002222-2-2-2-2-2-2-2-22−22−2000000002−22−22−22−22−22−22−22−2000000000000000000−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−ζ4300
χ2922-2-22222002222-2-2-2-2-2-2-2-22−22−2000000002−22−22−22−22−22−22−22−2000000000000000000ζ25−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+ζ430022-2-22222002222-2-2-2-2-2-2-2-22−22−2000000002−22−22−22−22−22−22−22−2000000000000000000ζ25−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+ζ4300
χ3022-2-22222002222-2-2-2-2-2-2-2-2−22−2200000000−22−22−22−22−22−22−22−22000000000000000000ζ11−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+ζ470022-2-22222002222-2-2-2-2-2-2-2-2−22−2200000000−22−22−22−22−22−22−22−22000000000000000000ζ11−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+ζ4700
χ3122-2-22222002222-2-2-2-2-2-2-2-2−22−2200000000−22−22−22−22−22−22−22−22000000000000000000−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−ζ470022-2-22222002222-2-2-2-2-2-2-2-2−22−2200000000−22−22−22−22−22−22−22−22000000000000000000−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−ζ4700
χ322-22-2222200-2-2-2-2-2-2-2-222222−2−22000000002−22−22−22−2−22−22−22−22000000000000000000ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47002-22-2222200-2-2-2-2-2-2-2-222222−2−22000000002−22−22−22−2−22−22−22−22000000000000000000ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ4700
χ332-22-2222200-2-2-2-2-2-2-2-222222−2−22000000002−22−22−22−2−22−22−22−22000000000000000000−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47002-22-2222200-2-2-2-2-2-2-2-222222−2−22000000002−22−22−22−2−22−22−22−22000000000000000000−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ4700
χ342-22-2222200-2-2-2-2-2-2-2-22222−222−200000000−22−22−22−222−22−22−22−2000000000000000000−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43002-22-2222200-2-2-2-2-2-2-2-22222−222−200000000−22−22−22−222−22−22−22−2000000000000000000−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ4300
χ352-22-2222200-2-2-2-2-2-2-2-22222−222−200000000−22−22−22−222−22−22−22−2000000000000000000ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43002-22-2222200-2-2-2-2-2-2-2-22222−222−200000000−22−22−22−222−22−22−22−2000000000000000000ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ4300
χ362-2-2222222-2-2-2-2-22222-2-2-2-200002222-2-2-2-20000000000000000000000000000000000−i2−i2i2i2i2i2−i2−i2002-2-2222222-2-2-2-2-22222-2-2-2-200002222-2-2-2-20000000000000000000000000000000000−i2−i2i2i2i2i2−i2−i200
χ372-2-2222222-2-2-2-2-22222-2-2-2-200002222-2-2-2-20000000000000000000000000000000000i2i2−i2−i2−i2−i2i2i2002-2-2222222-2-2-2-2-22222-2-2-2-200002222-2-2-2-20000000000000000000000000000000000i2i2−i2−i2−i2−i2i2i200
χ382-2-222222-22-2-2-2-22222-2-2-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222222200000000000000000000000000002-2-222222-22-2-2-2-22222-2-2-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-2222222220000000000000000000000000000
χ392-2-222-1-1-1-22-21112-1-1-1-211122-2-2-21112-1-1-122-1-1-1-1-1-1-2-21111112i−2i2i2i−i−i−i−i−i−i−2i−2iiiiiii00000000002-2-222-1-1-1-22-21112-1-1-1-211122-2-2-21112-1-1-122-1-1-1-1-1-1-2-21111112i−2i2i2i−i−i−i−i−i−i−2i−2iiiiiii0000000000
χ402-2-222-1-1-1-22-21112-1-1-1-211122-2-2-21112-1-1-122-1-1-1-1-1-1-2-2111111−2i2i−2i−2iiiiiii2i2i−i−i−i−i−i−i00000000002-2-222-1-1-1-22-21112-1-1-1-211122-2-2-21112-1-1-122-1-1-1-1-1-1-2-2111111−2i2i−2i−2iiiiiii2i2i−i−i−i−i−i−i0000000000
χ412-2-222-1-1-1-22-21112-1-1-1-2111-2-222-21112-1-1-1-2-211111122-1-1-1-1-1-10000333−3−3−300−3−3−333300000000002-2-222-1-1-1-22-21112-1-1-1-2111-2-222-21112-1-1-1-2-211111122-1-1-1-1-1-10000333−3−3−300−3−3−33330000000000
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χ1544-4-44-24-2-24-42-422-24-2-22-4220000-24-2-22-42200000000000000000000000000000000000000000000-444-42-422-44-24-2-22-422-24-2-200002-422-24-2-200000000000000000000000000000000000000000000
χ1554-4-44-2-24-24-422-42-2-24-222-420000-2-24-222-4200000000000000000000000000000000000000000000-444-422-42-44-2-24-222-42-2-24-2000022-42-2-24-200000000000000000000000000000000000000000000
χ1564-4-44-2-2-244-4222-4-2-2-24222-40000-2-2-24222-400000000000000000000000000000000000000000000-444-4222-4-44-2-2-24222-4-2-2-240000222-4-2-2-2400000000000000000000000000000000000000000000

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