Finite Group Databasebeta

← Group #11789936

Character table — Group #11789936

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444448888888888888888888888888888888888881818181818181818181818181818181872727272
order1222444422333344444444446666666666661212121212121212121212121212121266666666121212121212121212121212121212121212121212121212121212121212121212121212121212124488121212121212121212121212121212122424242424242424242424242424242488888888888888882488
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
χ5111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ7111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ8111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-111
χ91111-1-1-1-1-1-111111iiii−i−i−i−i1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-1i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-1i−i
χ101111-1-1-1-1-1-111111iiii−i−i−i−i1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-1i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-11111-11−ii
χ111111-1-1-1-1-1-111111iiii−i−i−i−i1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11−ii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i1111-1-1-1-1-11−ii
χ121111-1-1-1-1-1-111111iiii−i−i−i−i1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11−ii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii-1-1-1-111111-1i−i
χ131111-1-1-1-1-1-111111−i−i−i−iiiii1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-1−ii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-1-1-11111-11i−i
χ141111-1-1-1-1-1-111111−i−i−i−iiiii1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-1−ii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1111-1-1-1-11-1−ii
χ151111-1-1-1-1-1-111111−i−i−i−iiiii1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-11i−i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i-1-1-1-111111-1−ii
χ161111-1-1-1-1-1-111111−i−i−i−iiiii1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-11i−i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-11i−i
χ1722222222222-1-1-12222222222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000000000000
χ1822222222222-1-1-12222222222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111-2-2111111-2-2111111-2-211111100000000000000000000
χ1922222222222-1-1-12-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111122-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-211111100000000000000000000
χ2022222222222-1-1-12-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-222-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-100000000000000000000
χ212222222222-12-1-12222222222-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000000000000000
χ222222222222-12-1-12222222222-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211-2-2111111-2-2111111-2-2111111-2-2111100000000000000000000
χ232222222222-12-1-12-2-2-2-2-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111122-2-2-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111100000000000000000000
χ242222222222-12-1-12-2-2-2-2-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-22211-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-100000000000000000000
χ252222222222-1-12-12222222222-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-100000000000000000000
χ262222222222-1-12-12222222222-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-21111-2-2111111-2-2111111-2-2111111-2-21100000000000000000000
χ272222222222-1-12-12-2-2-2-2-2-2-2-22-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-2111122-2-2-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-21100000000000000000000
χ282222222222-1-12-12-2-2-2-2-2-2-2-22-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-21111-2-2221111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-100000000000000000000
χ292222222222-1-1-122222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12200000000000000000000
χ302222222222-1-1-122222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2111111-2-2111111-2-2111111-2-2111111-2-200000000000000000000
χ312222222222-1-1-122-2-2-2-2-2-2-2-22-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-222-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-200000000000000000000
χ322222222222-1-1-122-2-2-2-2-2-2-2-22-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-2-2-222111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-12200000000000000000000
χ3322222222-2-22222-200000000-22222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000022-2-222-2-2000000000000
χ3422222222-2-22222-200000000-22222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000-2-222-2-222000000000000
χ352222-2-2-2-2222222-200000000-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ362222-2-2-2-2222222-200000000-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ372222-2-2-2-2-2-22-1-1-122i2i2i2i−2i−2i−2i−2i2222-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111-2111-211122-1-1-1-1-1-12i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii2-22i−2i22-1-1-1-1-1-1-2-21111112i2i−i−i−i−i−i−i−2i−2iiiiiii00000000000000000000
χ382222-2-2-2-2-2-22-1-1-122i2i2i2i−2i−2i−2i−2i2222-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111-2111-211122-1-1-1-1-1-12i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii-22−2i2i-2-211111122-1-1-1-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i00000000000000000000
χ392222-2-2-2-2-2-22-1-1-12−2i−2i−2i−2i2i2i2i2i2222-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111-2111-211122-1-1-1-1-1-1−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i2-2−2i2i22-1-1-1-1-1-1-2-2111111−2i−2iiiiiii2i2i−i−i−i−i−i−i00000000000000000000
χ402222-2-2-2-2-2-22-1-1-12−2i−2i−2i−2i2i2i2i2i2222-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111-2111-211122-1-1-1-1-1-1−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i-222i−2i-2-211111122-1-1-1-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii00000000000000000000
χ412222-2-2-2-2-2-2-12-1-122i2i2i2i−2i−2i−2i−2i2-1-1-1222-1-1-1-1-1-111-2-2111111-2-211111-2111-211-1-122-1-1-1-1−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii2-22i−2i-1-122-1-1-1-111-2-21111−i−i2i2i−i−i−i−iii−2i−2iiiii00000000000000000000
χ422222-2-2-2-2-2-2-12-1-122i2i2i2i−2i−2i−2i−2i2-1-1-1222-1-1-1-1-1-111-2-2111111-2-211111-2111-211-1-122-1-1-1-1−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii-22−2i2i11-2-21111-1-122-1-1-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i00000000000000000000
χ432222-2-2-2-2-2-2-12-1-12−2i−2i−2i−2i2i2i2i2i2-1-1-1222-1-1-1-1-1-111-2-2111111-2-211111-2111-211-1-122-1-1-1-1iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i2-2−2i2i-1-122-1-1-1-111-2-21111ii−2i−2iiiii−i−i2i2i−i−i−i−i00000000000000000000
χ442222-2-2-2-2-2-2-12-1-12−2i−2i−2i−2i2i2i2i2i2-1-1-1222-1-1-1-1-1-111-2-2111111-2-211111-2111-211-1-122-1-1-1-1iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i-222i−2i11-2-21111-1-122-1-1-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii00000000000000000000
χ452222-2-2-2-2-2-2-1-12-122i2i2i2i−2i−2i−2i−2i2-1-1-1-1-1-1222-1-1-11111-2-2111111-2-21111-2111-21-1-1-1-122-1-1−i−i−i−i−i−i−i−i2i2i2i2i−i−i−i−iiiiiiiii−2i−2i−2i−2iiiii2-22i−2i-1-1-1-122-1-11111-2-211−i−i−i−i2i2i−i−iiiii−2i−2iii00000000000000000000
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χ1554-4-44-4-4444-4-2-24-2400000000-422-222-2-4-4422-2-2-2-2-244-2-22222-4-422-2-24-222-422-22-2-442-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1564-4-44-4-4444-4-2-2-24400000000-422-222-222-2-4-44-2-2-2-2-2-244222222-4-4-2-2-24222-42-22-22-2-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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