Finite Group Databasebeta

← Group #11772075

Character table — Group #11772075

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141
size111122222222222222222222222222222222222222224444444444444444444444444444444444444444444444444448888888888888888888888888888888888883636363636363636144144
order12223333444466666666666688881212121212121212121212121212121248812121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242488882424242424242424242424242424242424242424242424242424242424242424161616161616161644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111111-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i1-1
χ611111111-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-11
χ711111111-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-11
χ811111111-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii1-1
χ9222222222222222222222222-2-2-2-222222222222222222-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000
χ10222222222-2-2222222222222200002222222222222222-200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000022−2−222−2−200
χ11222222222-2-2222222222222200002222222222222222-200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000−2−222−2−22200
χ1222222222-222-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222220000000000000000000000000000000000000000000000
χ1322222222-2-2-2-22222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-220022222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000−i2−i2i2i2i2i2−i2−i200
χ1422222222-2-2-2-22222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-220022222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000i2i2−i2−i2−i2−i2i2i200
χ1522222-1-1-12222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ1622222-1-1-12222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111-2-2-2-21111111111110000000000
χ1722222-1-1-12222222-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i30000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i30000000000
χ1822222-1-1-12222222-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i30000000000
χ1922222-1-1-1-222-2222-1-1-1-1-1-1-1-1-12222-2-2111111-2-2111111-2-2-2-2-211111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000000333333−3−3−3−3−3−30000−3−3−3−3−3−33333330000000000
χ2022222-1-1-1-222-2222-1-1-1-1-1-1-1-1-12222-2-2111111-2-2111111-2-2-2-2-211111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000000−3−3−3−3−3−33333330000333333−3−3−3−3−3−30000000000
χ2122222-1-1-1-222-2222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111-2-2111111-222-2-211111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112i2i−2i−2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii0000000000
χ2222222-1-1-1-222-2222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111-2-2111111-222-2-211111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111−2i−2i2i2i−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i0000000000
χ232222-12-1-12222-1-1-1222-1-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-10000000000
χ242222-12-1-12222-1-1-1222-1-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111-2-21111-2-211111111-2-21111-2-211110000000000
χ252222-12-1-12222-1-1-1222-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-12-2-2-1-122-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3−i3−i3i3i300−i3−i3i3i300−i3−i3i3i30000000000
χ262222-12-1-12222-1-1-1222-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-12-2-2-1-122-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3i3i3−i3−i300i3i3−i3−i300i3i3−i3−i30000000000
χ272222-12-1-1-222-2-1-1-1222-1-1-1-1-1-1222211-2-2111111-2-21111-2-2-211-2-21111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000033−3−30033−3−30033−3−3−3−33300−3−33300−3−3330000000000
χ282222-12-1-1-222-2-1-1-1222-1-1-1-1-1-1222211-2-2111111-2-21111-2-2-211-2-21111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000−3−33300−3−33300−3−33333−3−30033−3−30033−3−30000000000
χ292222-12-1-1-222-2-1-1-1222-1-1-1-1-1-1-2-2-2-211-2-2111111-2-21111-22211-2-21111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112i2i−2i−2i−i−i−i−i2i2i−i−i−i−i2i2i−i−i−i−iiiii−2i−2iiiii−2i−2iiiii0000000000
χ302222-12-1-1-222-2-1-1-1222-1-1-1-1-1-1-2-2-2-211-2-2111111-2-21111-22211-2-21111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111−2i−2i2i2iiiii−2i−2iiiii−2i−2iiiii−i−i−i−i2i2i−i−i−i−i2i2i−i−i−i−i0000000000
χ312222-1-12-12222-1-1-1-1-1-1222-1-1-12222-1-1-1-122-1-1-1-1-1-122-1-1222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000000000
χ322222-1-12-12222-1-1-1-1-1-1222-1-1-12222-1-1-1-122-1-1-1-1-1-122-1-1222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2111111-2-2111111-2-2111111-2-2111111-2-20000000000
χ332222-1-12-12222-1-1-1-1-1-1222-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-12-2-2-1-1-1-122-1-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-211110000−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3000000000000
χ342222-1-12-12222-1-1-1-1-1-1222-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-12-2-2-1-1-1-122-1-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-211110000i3i3−i3−i3−i3−i300i3i3i3i3−i3−i300i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3000000000000
χ352222-1-12-1-222-2-1-1-1-1-1-1222-1-1-122221111-2-2111111-2-211-2-2-21111-2-211-1-1-1-122-1-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1000033−3−3−3−3003333−3−300−3−3333300−3−3−3−333000000000000
χ362222-1-12-1-222-2-1-1-1-1-1-1222-1-1-122221111-2-2111111-2-211-2-2-21111-2-211-1-1-1-122-1-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-10000−3−3333300−3−3−3−3330033−3−3−3−3003333−3−3000000000000
χ372222-1-12-1-222-2-1-1-1-1-1-1222-1-1-1-2-2-2-21111-2-2111111-2-211-2221111-2-211-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-211112i2i−2i−2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2iiiiiii−2i−2iiiiiii−2i−2i0000000000
χ382222-1-12-1-222-2-1-1-1-1-1-1222-1-1-1-2-2-2-21111-2-2111111-2-211-2221111-2-211-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111−2i−2i2i2iiiiiii−2i−2iiiiiii−2i−2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2i0000000000
χ392222-1-1-122222-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-10000000000
χ402222-1-1-122222-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111-2-211-2-21111111111-2-211-2-2110000000000
χ412222-1-1-122222-1-1-1-1-1-1-1-1-1222-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-1222-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-20000−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3−i3−i3i3i3−i3−i3i3i300i3i300−i3−i30000000000
χ422222-1-1-122222-1-1-1-1-1-1-1-1-1222-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-1222-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-20000i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3i3i3−i3−i3i3i3−i3−i300−i3−i300i3i30000000000
χ432222-1-1-12-222-2-1-1-1-1-1-1-1-1-12222222111111-2-2111111-2-2-2-2-2111111-2-2-1-1-1-1-1-122111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222000033−3−333−3−300−3−30033−3−333−3−333003300−3−30000000000
χ442222-1-1-12-222-2-1-1-1-1-1-1-1-1-12222222111111-2-2111111-2-2-2-2-2111111-2-2-1-1-1-1-1-122111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-122220000−3−333−3−333003300−3−333−3−333−3−300−3−300330000000000
χ452222-1-1-12-222-2-1-1-1-1-1-1-1-1-1222-2-2-2-2111111-2-2111111-2-2-222111111-2-2-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-22i2i−2i−2i−i−i−i−i−i−i−i−i2i2i−i−i2i2i−i−iiiiiiiii−2i−2iii−2i−2iii0000000000
χ462222-1-1-12-222-2-1-1-1-1-1-1-1-1-1222-2-2-2-2111111-2-2111111-2-2-222111111-2-2-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2−2i−2i2i2iiiiiiiii−2i−2iii−2i−2iii−i−i−i−i−i−i−i−i2i2i−i−i2i2i−i−i0000000000
χ4722-2-22222200-22-2-22-2-22-2-22-2-22−22−222222222-2-2-2-2-2-2-2-202−2000000000000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2000000000000000000000000000000000000−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
χ4822-2-22222200-22-2-22-2-22-2-22-2-22−22−222222222-2-2-2-2-2-2-2-202−2000000000000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2000000000000000000000000000000000000ζ25−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
χ4922-2-22222200-22-2-22-2-22-2-22-2-2−22−2222222222-2-2-2-2-2-2-2-20−220000000000000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222000000000000000000000000000000000000ζ11−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
χ5022-2-22222200-22-2-22-2-22-2-22-2-2−22−2222222222-2-2-2-2-2-2-2-20−220000000000000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222000000000000000000000000000000000000−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
χ5122-2-22222-20022-2-22-2-22-2-22-2-22−22−2-2-2-2-2-2-2-2-2222222220−220000000000000000−2−222−2−222−2−222−2−22222−2−222−2−222−2−222−2−2000000000000000000000000000000000000−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
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.