Finite Group Databasebeta

← Group #11789927

Character table — Group #11789927

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444448888888888888888888888888888888888881818181818181818181818181818181872727272
order1222444422333344666666666666888888881212121212121212121212121212121266666666121212121212121224242424242424242424242424242424242424242424242424242424242424248888242424242424242424242424242424242424242424242424242424242424242444444444888888882444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-111-1
χ91111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1
χ101111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111
χ111111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111
χ121111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−iiiii11-1-1
χ131111-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii-11-11
χ141111-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiiiiiii−i−i−i−i1-11-1
χ151111-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1-11-1
χ161111-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-11-11
χ1722222222222-1-1-12222-1-1-1-1-1-12-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000000000000
χ1822222222222-1-1-12222-1-1-1-1-1-12-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111-2-2111111-2-2111111-2-211111100000000000000000000
χ1922222222222-1-1-12222-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111122-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-211111100000000000000000000
χ2022222222222-1-1-12222-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-222-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-100000000000000000000
χ212222222222-12-1-122-1-122-1-1-1-1-12-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000000000000000
χ222222222222-12-1-122-1-122-1-1-1-1-12-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211-2-2111111-2-2111111-2-2111111-2-2111100000000000000000000
χ232222222222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111122-2-2-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111100000000000000000000
χ242222222222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-22211-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-100000000000000000000
χ252222222222-1-12-122-1-1-1-122-1-1-1-12-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-100000000000000000000
χ262222222222-1-12-122-1-1-1-122-1-1-1-12-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-21111-2-2111111-2-2111111-2-2111111-2-21100000000000000000000
χ272222222222-1-12-122-1-1-1-122-1-1-1-12-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12-1-1-12-111111111-2-2-2-2111111111111-2-2-2-2111122-2-2-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-21100000000000000000000
χ282222222222-1-12-122-1-1-1-122-1-1-1-12-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12-1-1-12-111111111-2-2-2-2111111111111-2-2-2-21111-2-2221111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-100000000000000000000
χ292222222222-1-1-1222-1-1-1-1-1-122-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12200000000000000000000
χ302222222222-1-1-1222-1-1-1-1-1-122-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2111111-2-2111111-2-2111111-2-2111111-2-200000000000000000000
χ312222222222-1-1-1222-1-1-1-1-1-122-1-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-12111111111111-2-2-2-2111111111111-2-2-2-222-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-200000000000000000000
χ322222222222-1-1-1222-1-1-1-1-1-122-1-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-12111111111111-2-2-2-2111111111111-2-2-2-2-2-222111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-12200000000000000000000
χ3322222222-2-22222-2-2222222222222000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000022-2-222-2-20000
χ3422222222-2-22222-2-2222222222222000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000-2-222-2-2220000
χ352222-2-2-2-2222222-2-222222222222200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i0000
χ362222-2-2-2-2222222-2-222222222222200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000
χ372222-2-2-2-2-2-22-1-1-12222-1-1-1-1-1-12-1-1-12222-2-2-2-2-2-2-2-2111111111111-2-21111112-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112i−2i2i−2i2i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii00000000000000000000
χ382222-2-2-2-2-2-22-1-1-12222-1-1-1-1-1-12-1-1-12222-2-2-2-2-2-2-2-2111111111111-2-21111112-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111−2i2i−2i2i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i00000000000000000000
χ392222-2-2-2-2-2-22-1-1-12222-1-1-1-1-1-12-1-1-1-2-2-2-22222-2-2-2-2111111111111-2-21111112-1-1-12-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-12i−2i−2i2i2i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i00000000000000000000
χ402222-2-2-2-2-2-22-1-1-12222-1-1-1-1-1-12-1-1-1-2-2-2-22222-2-2-2-2111111111111-2-21111112-1-1-12-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1−2i2i2i−2i−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii00000000000000000000
χ412222-2-2-2-2-2-2-12-1-122-1-122-1-1-1-1-12-1-12222-2-2-2-21111-2-2-2-21111111111-2-21111-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112i−2i2i−2i−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii00000000000000000000
χ422222-2-2-2-2-2-2-12-1-122-1-122-1-1-1-1-12-1-12222-2-2-2-21111-2-2-2-21111111111-2-21111-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111−2i2i−2i2iii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−i00000000000000000000
χ432222-2-2-2-2-2-2-12-1-122-1-122-1-1-1-1-12-1-1-2-2-2-222221111-2-2-2-21111111111-2-21111-12-1-1-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-12i−2i−2i2i−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii−i−i2i2i−i−i−i−i00000000000000000000
χ442222-2-2-2-2-2-2-12-1-122-1-122-1-1-1-1-12-1-1-2-2-2-222221111-2-2-2-21111111111-2-21111-12-1-1-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1−2i2i2i−2iii−2i−2iiiii−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−iii−2i−2iiiii00000000000000000000
χ452222-2-2-2-2-2-2-1-12-122-1-1-1-122-1-1-1-12-12222-2-2-2-211111111-2-2-2-211111111-2-211-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-211112i−2i2i−2i−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i−i−i2i2i−i−iiiii−2i−2iii00000000000000000000
χ462222-2-2-2-2-2-2-1-12-122-1-1-1-122-1-1-1-12-12222-2-2-2-211111111-2-2-2-211111111-2-211-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111−2i2i−2i2iiiii−2i−2iii−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i−i−i2i2i−i−i00000000000000000000
χ472222-2-2-2-2-2-2-1-12-122-1-1-1-122-1-1-1-12-1-2-2-2-2222211111111-2-2-2-211111111-2-211-1-12-1-1-12-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-12i−2i−2i2i−i−i−i−i2i2i−i−iiiii−2i−2iiiiiii−2i−2iii−i−i−i−i2i2i−i−i00000000000000000000
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χ1454-44-4−4i4i4i−4i00-2-24-2002-22-2-442-222-42−2i22i2−2i22i2−2222−22222i−2i2i−2i2i−2i2i−2i−4i4i−4i4i2i−2i2i−2i0000000000000000i2−i2i2−i2i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i22−22−22−22−2−2222−22222−22−200000000000000000000000000000000000000000000000000000000
χ1464-44-4−4i4i4i−4i00-2-24-2002-22-2-442-222-422i2−2i22i2−2i222−2222−222i−2i2i−2i2i−2i2i−2i−4i4i−4i4i2i−2i2i−2i0000000000000000−i2i2−i2i2−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i2−22−22−22−2222−2222−22−22−2200000000000000000000000000000000000000000000000000000000
χ1474-44-4−4i4i4i−4i00-2-2-24002-22-22-2-44222-4−2i22i2−2i22i2−2222−22222i−2i2i−2i2i−2i2i−2i2i−2i2i−2i−4i4i−4i4i0000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−2i22i2−2i22i22−22−22−22−22−22−2−2222−222200000000000000000000000000000000000000000000000000000000
χ1484-44-4−4i4i4i−4i00-2-2-24002-22-22-2-44222-42i2−2i22i2−2i222−2222−222i−2i2i−2i2i−2i2i−2i2i−2i2i−2i−4i4i−4i4i0000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22i2−2i22i2−2i2−22−22−22−22−22−2222−2222−2200000000000000000000000000000000000000000000000000000000
χ1494-4-4444-4-44-44-2-2-2-44-4-42222224-2-2-2000000004-4-44-222-2-222-2-222-24-4-22-22-22-42224-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1504-4-4444-4-44-4-24-2-2-4422-4-42222-24-2-200000000-222-24-4-44-222-2-222-2-224-4-22-222-422-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1514-4-4444-4-44-4-2-24-2-442222-4-422-2-24-200000000-222-2-222-24-4-44-222-2-22-224-4-2222-42-2-24-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1524-4-4444-4-44-4-2-2-24-44222222-4-4-2-2-2400000000-222-2-222-2-222-24-4-44-22-22-224-4222-4-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1534-4-44-4-444-444-2-2-2-44-4-42222224-2-2-200000000-444-42-2-222-2-222-2-22-442-22-22-2-42224-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1544-4-44-4-444-44-24-2-2-4422-4-42222-24-2-2000000002-2-22-444-42-2-222-2-222-2-442-22-22-422-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1554-4-44-4-444-44-2-24-2-442222-4-422-2-24-2000000002-2-222-2-22-444-42-2-222-22-2-442-222-42-2-24-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1564-4-44-4-444-44-2-2-24-44222222-4-4-2-2-24000000002-2-222-2-222-2-22-444-42-22-22-2-44222-4-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.