Finite Group Databasebeta

← Group #11771865

Character table — Group #11771865

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141
size111122222222222222222222222222222222222222224444444444444444444444444444444444444444444444444448888888888888888888888888888888888883636363636363636144144
order1222223333446666666666666666666666666666888848812121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444441212121212121212121212121212121212121212121212121212121212121212161616161616161644
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
χ51111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i1-1
χ61111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-11
χ71111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-11
χ81111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii1-1
χ92222222222222222222222222222222222222222-2-2-2-22-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000
χ102222222222-2-222222222222222222222222222220000-200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000022−2−222−2−200
χ112222222222-2-222222222222222222222222222220000-200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000−2−222−2−22200
χ122222222-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122222222-1-1-122-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ132222222-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122222222-1-1-122-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111-2-2-2-21111111111110000000000
χ142222222-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-22-2-22-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i30000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i30000000000
χ152222222-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-22-2-22-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i30000000000
χ16222222-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-12222222-12-1-1-1-122-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-10000000000
χ17222222-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-12222222-12-1-1-1-122-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111-2-21111-2-211111111-2-21111-2-211110000000000
χ18222222-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2-2-22-2-2-12-1-1-1-122-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3−i3−i3i3i300−i3−i3i3i300−i3−i3i3i30000000000
χ19222222-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2-2-22-2-2-12-1-1-1-122-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3i3i3−i3−i300i3i3−i3−i300i3i3−i3−i30000000000
χ20222222-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-12222222-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000000000
χ21222222-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-12222222-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2111111-2-2111111-2-2111111-2-2111111-2-20000000000
χ22222222-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-2-2-2-22-2-2-1-12-1-1-1-1-122-1-1-1-12-111111111-2-2-2-2111111111111-2-2-2-211110000−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3000000000000
χ23222222-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-2-2-2-22-2-2-1-12-1-1-1-1-122-1-1-1-12-111111111-2-2-2-2111111111111-2-2-2-211110000i3i3−i3−i3−i3−i300i3i3i3i3−i3−i300i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3000000000000
χ24222222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1222222222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-10000000000
χ25222222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1222222222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111-2-211-2-21111111111-2-211-2-2110000000000
χ26222222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-2-2-2-22-2-2-1-1-12-1-1-1-1-1-122-1-1-12111111111111-2-2-2-2111111111111-2-2-2-20000−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3−i3−i3i3i3−i3−i3i3i300i3i300−i3−i30000000000
χ27222222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-2-2-2-22-2-2-1-1-12-1-1-1-1-1-122-1-1-12111111111111-2-2-2-2111111111111-2-2-2-20000i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3i3i3−i3−i3i3i3−i3−i300−i3−i300i3i30000000000
χ282222-2-222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222220000000000000000000000000000000000000000000000
χ292222-2-22222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000200-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000−i2−i2i2i2i2i2−i2−i200
χ302222-2-22222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000200-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000i2i2−i2−i2−i2−i2i2i200
χ312222-2-22-1-1-12222-1-1-1-1-1-1-2-21111112-1-1-1-2-21111112222-2-2-22-1-1-1-2-21111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000000333333−3−3−3−3−3−30000−3−3−3−3−3−33333330000000000
χ322222-2-22-1-1-12222-1-1-1-1-1-1-2-21111112-1-1-1-2-21111112222-2-2-22-1-1-1-2-21111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000000−3−3−3−3−3−33333330000333333−3−3−3−3−3−30000000000
χ332222-2-22-1-1-12222-1-1-1-1-1-1-2-21111112-1-1-1-2-2111111-2-2-2-2-2222-1-1-1-2-21111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112i2i−2i−2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii0000000000
χ342222-2-22-1-1-12222-1-1-1-1-1-1-2-21111112-1-1-1-2-2111111-2-2-2-2-2222-1-1-1-2-21111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111−2i−2i2i2i−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i0000000000
χ352222-2-2-12-1-122-1-122-1-1-1-111-2-21111-12-1-111-2-211112222-2-2-2-12-1-111-2-21111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000033−3−30033−3−30033−3−3−3−33300−3−33300−3−3330000000000
χ362222-2-2-12-1-122-1-122-1-1-1-111-2-21111-12-1-111-2-211112222-2-2-2-12-1-111-2-21111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000−3−33300−3−33300−3−33333−3−30033−3−30033−3−30000000000
χ372222-2-2-12-1-122-1-122-1-1-1-111-2-21111-12-1-111-2-21111-2-2-2-2-222-12-1-111-2-21111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112i2i−2i−2i−i−i−i−i2i2i−i−i−i−i2i2i−i−i−i−iiiii−2i−2iiiii−2i−2iiiii0000000000
χ382222-2-2-12-1-122-1-122-1-1-1-111-2-21111-12-1-111-2-21111-2-2-2-2-222-12-1-111-2-21111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111−2i−2i2i2iiiii−2i−2iiiii−2i−2iiiii−i−i−i−i2i2i−i−i−i−i2i2i−i−i−i−i0000000000
χ392222-2-2-1-12-122-1-1-1-122-1-11111-2-211-1-12-11111-2-2112222-2-2-2-1-12-11111-2-211-1-12-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1000033−3−3−3−3003333−3−300−3−3333300−3−3−3−333000000000000
χ402222-2-2-1-12-122-1-1-1-122-1-11111-2-211-1-12-11111-2-2112222-2-2-2-1-12-11111-2-211-1-12-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-10000−3−3333300−3−3−3−3330033−3−3−3−3003333−3−3000000000000
χ412222-2-2-1-12-122-1-1-1-122-1-11111-2-211-1-12-11111-2-211-2-2-2-2-222-1-12-11111-2-211-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-211112i2i−2i−2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2iiiiiii−2i−2iiiiiii−2i−2i0000000000
χ422222-2-2-1-12-122-1-1-1-122-1-11111-2-211-1-12-11111-2-211-2-2-2-2-222-1-12-11111-2-211-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111−2i−2i2i2iiiiiii−2i−2iiiiiii−2i−2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2i0000000000
χ432222-2-2-1-1-1222-1-1-1-1-1-122111111-2-2-1-1-12111111-2-22222-2-2-2-1-1-12111111-2-2-1-1-12111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222000033−3−333−3−300−3−30033−3−333−3−333003300−3−30000000000
χ442222-2-2-1-1-1222-1-1-1-1-1-122111111-2-2-1-1-12111111-2-22222-2-2-2-1-1-12111111-2-2-1-1-12111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-122220000−3−333−3−333003300−3−333−3−333−3−300−3−300330000000000
χ452222-2-2-1-1-1222-1-1-1-1-1-122111111-2-2-1-1-12111111-2-2-2-2-2-2-222-1-1-12111111-2-2-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-22i2i−2i−2i−i−i−i−i−i−i−i−i2i2i−i−i2i2i−i−iiiiiiiii−2i−2iii−2i−2iii0000000000
χ462222-2-2-1-1-1222-1-1-1-1-1-122111111-2-2-1-1-12111111-2-2-2-2-2-2-222-1-1-12111111-2-2-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2−2i−2i2i2iiiiiiiii−2i−2iii−2i−2iii−i−i−i−i−i−i−i−i2i2i−i−i2i2i−i−i0000000000
χ4722-2-22-22222002-22-22-22-222222222-2-2-2-2-2-2-2-2-2-2-2-222−2−202−2000000000000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2000000000000000000000000000000000000−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
χ4822-2-22-22222002-22-22-22-222222222-2-2-2-2-2-2-2-2-2-2-2-222−2−202−2000000000000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2000000000000000000000000000000000000ζ25−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
χ4922-2-22-22222002-22-22-22-222222222-2-2-2-2-2-2-2-2-2-2-2-2−2−2220−220000000000000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222000000000000000000000000000000000000ζ11−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
χ5022-2-22-22222002-22-22-22-222222222-2-2-2-2-2-2-2-2-2-2-2-2−2−2220−220000000000000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222000000000000000000000000000000000000−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
χ5122-2-2-222222002-22-22-22-2-2-2-2-2-2-2-2-2-2-2-2-22222222222−2−20−220000000000000000−2−222−2−222−2−222−2−22222−2−222−2−222−2−222−2−2000000000000000000000000000000000000−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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χ1314-44-400-2-2-24002-22-22-2-442i3−2i32i3−2i3−2i32i300222-4−2i32i3−2i32i32i3−2i300−2i22i22i2−2i200000000000000000006−6−666−6−66−666−60000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−2i22i22i2−2i20000000000000000000000000000000000000000000000
χ1324-44-400-2-2-24002-22-22-2-442i3−2i32i3−2i3−2i32i300222-4−2i32i3−2i32i32i3−2i3002i2−2i2−2i22i20000000000000000000−666−6−666−66−6−660000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i22i2−2i2−2i22i20000000000000000000000000000000000000000000000
χ1334-4-44004444-44-4-4-4-4-4-4-4-4000000004444000000000000000-4-4-4-4000000004444000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-44004-2-2-2-44-4-422222200−2i32i3−2i32i3−2i32i34-2-2-200−2i32i3−2i32i3−2i32i30000000-4222002i3−2i32i3−2i32i3−2i34-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-44004-2-2-2-44-4-4222222002i3−2i32i3−2i32i3−2i34-2-2-2002i3−2i32i3−2i32i3−2i30000000-422200−2i32i3−2i32i3−2i32i34-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-4400-24-2-2-4422-4-42222−2i32i300−2i32i32i3−2i3-24-2-2−2i32i300−2i32i32i3−2i300000002-4222i3−2i3002i3−2i3−2i32i3-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-4400-24-2-2-4422-4-422222i3−2i3002i3−2i3−2i32i3-24-2-22i3−2i3002i3−2i3−2i32i300000002-422−2i32i300−2i32i32i3−2i3-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1384-4-4400-2-24-2-442222-4-422−2i32i32i3−2i300−2i32i3-2-24-2−2i32i32i3−2i300−2i32i3000000022-422i3−2i3−2i32i3002i3−2i3-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1394-4-4400-2-24-2-442222-4-4222i3−2i3−2i32i3002i3−2i3-2-24-22i3−2i3−2i32i3002i3−2i3000000022-42−2i32i32i3−2i300−2i32i3-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1404-4-4400-2-2-24-44222222-4-4−2i32i3−2i32i32i3−2i300-2-2-24−2i32i3−2i32i32i3−2i3000000000222-42i3−2i32i3−2i3−2i32i300-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1414-4-4400-2-2-24-44222222-4-42i3−2i32i3−2i3−2i32i300-2-2-242i3−2i32i3−2i3−2i32i3000000000222-4−2i32i3−2i32i32i3−2i300-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000

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