Finite Group Databasebeta

← Group #11783900

Character table — Group #11783900

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111222222222222222222222222222222222222444444444444444444444444444444444444444444444444444444444444888888888888888888888888888888881818181818181818363636363636363636363636
order12224444223333446666666666661212121212121212121212121212121222444444666666668888121212121212121212121212121212121212121212121212121212121212121212121212121212126666666612121212121212122424242424242424242424242424242444444444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i-1-1-1-1-1-1-1-1ii−i−i11111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-111-1-1ii−i−iii−i−i
χ101111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i-1-1-1-1-1-1-1-1ii−i−i11111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-111−i−iii−i−iii
χ111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii-1-1-1-1-1-1-1-1−i−iii11111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-111-1-1−i−iii−i−iii
χ121111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii-1-1-1-1-1-1-1-1−i−iii11111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-111ii−i−iii−i−i
χ131111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-1-1-1-1-1−i−iii11111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-111ii−i−i−i−iii
χ141111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-1-1-1-1-1−i−iii11111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1111111-1-1−i−iiiii−i−i
χ151111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-1-1-1-1-1ii−i−i11111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-111−i−iiiii−i−i
χ161111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-1-1-1-1-1ii−i−i11111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1111111-1-1ii−i−i−i−iii
χ1711-1-111-1-11-111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-11-11-1-1-1-1-111111-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−ii−ii−ii−ii−ii−ii−i
χ1811-1-111-1-11-111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-11-11-1-1-1-1-111111-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−ii−ii−ii−ii−ii−ii
χ1911-1-111-1-11-111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1-11-11-1-1-1-11111-11-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−ii−ii−i−ii−ii−ii−ii
χ2011-1-111-1-11-111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1-11-11-1-1-1-11111-11-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iii−ii−iii−ii−ii−ii−i
χ2111-1-111-1-11-111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-111-11-1-1-1-1-11111-11-111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−ii−iii−ii−i−ii−ii
χ2211-1-111-1-11-111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-111-11-1-1-1-1-11111-11-111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iiii−ii−i−ii−iii−ii−i
χ2311-1-111-1-11-111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-11-11-11-1-1-1-111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−ii−ii−ii−iii−ii−i
χ2411-1-111-1-11-111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-11-11-11-1-1-1-111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii−i−iiii−ii−ii−ii−i−ii−ii
χ2511-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-11i−i−ii1111-1-1-1-1i−i−ii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iiii−i−ii-111-1-111-1
χ2611-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-11i−i−ii1111-1-1-1-1i−i−ii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i−iii−i1-1-111-1-11
χ2711-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-11−iii−i1111-1-1-1-1−iii−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iiii−i−ii1-1-111-1-11
χ2811-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-11−iii−i1111-1-1-1-1−iii−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i−iii−i-111-1-111-1
χ2911-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1i−i−ii1111-1-1-1-1−iii−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii−iii−i-111-11-1-11
χ3011-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1i−i−ii1111-1-1-1-1−iii−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−ii−i−ii1-1-11-111-1
χ3111-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1−iii−i1111-1-1-1-1i−i−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii−iii−i1-1-11-111-1
χ3211-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1−iii−i1111-1-1-1-1i−i−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−ii−i−ii-111-11-1-11
χ3322222222222-1-1-12222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222222-1-1-12-1-1-122222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-100000000000000000000
χ3422222222222-1-1-12222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-2-2-2-22-1-1-12-1-1-1-2-2-2-22-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-21111112-1-1-12-1-1-12-1-1-12-1-1-1-2111-2111-2111-211100000000000000000000
χ3522222222222-1-1-12222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-222222-1-1-12-1-1-1-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2111-2111-2111-2111-2111-2111-2111-211100000000000000000000
χ3622222222222-1-1-12222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-22-1-1-12-1-1-122222-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111-2111-2111-2111-21112-1-1-12-1-1-12-1-1-12-1-1-100000000000000000000
χ372222222222-12-1-122-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122222222-12-1-1-12-1-12222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-100000000000000000000
χ382222222222-12-1-122-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-12222-2-2-2-2-12-1-1-12-1-1-2-2-2-2-12-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-21111-12-1-1-12-1-1-12-1-1-12-1-11-2111-2111-2111-21100000000000000000000
χ392222222222-12-1-122-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-22222-12-1-1-12-1-1-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11-2111-2111-2111-2111-2111-2111-2111-21100000000000000000000
χ402222222222-12-1-122-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2-12-1-1-12-1-12222-12-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-211111-2111-2111-2111-211-12-1-1-12-1-1-12-1-1-12-1-100000000000000000000
χ412222222222-1-12-122-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-122222222-1-12-1-1-12-12222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-100000000000000000000
χ422222222222-1-12-122-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-12222-2-2-2-2-1-12-1-1-12-1-2-2-2-2-1-12-1-1-12-11111-2-2111111-2-2111111-2-2111111-2-211-1-12-1-1-12-1-1-12-1-1-12-111-2111-2111-2111-2100000000000000000000
χ432222222222-1-12-122-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-22222-1-12-1-1-12-1-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-111-2111-2111-2111-2111-2111-2111-2111-2100000000000000000000
χ442222222222-1-12-122-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-12-1-1-12-12222-1-12-1-1-12-11111-2-2111111-2-2111111-2-2111111-2-21111-2111-2111-2111-21-1-12-1-1-12-1-1-12-1-1-12-100000000000000000000
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χ1564-4-44−4i4i4i−4i00-2-2-24002-22-22-2-44222-4−2i2i−2i2i−2i2i4i−4i2i−2i2i−2i2i−2i−4i4i0000000000000000000000000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ1100−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ1100ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ1100−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.