Finite Group Databasebeta

← Group #11859972

Character table — Group #11859972

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11111111222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444488888888888888888888888888888888999999991818181818181818181818183636363636363636
order1222444422344666888888889991212121218181818181818181836363636363636363636363644444444661212181818181818242424242424242436363636363672727272727272727272727272727272727272727272727212121212121212123636363636363636363636363636363636363636363636364444444444448888888822224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ71111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ81111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111
χ111111-1-1-1-1-1-11111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ121111-1-1-1-1-1-11111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1
χ131111-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ141111-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1
χ151111-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1
χ161111-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-111
χ171-1-1111-1-11-111-11-1-111-1-111-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1i−ii−ii−ii−i1-1-11111-1-1-111-1-111-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1i−ii−ii−ii−iiii−i−i−iiii−i−i−iiii−i−i−iiii−i−i−iii−i−iii−i−ii−ii−iii−i−iii−i−i1-11-11-11-1
χ181-1-1111-1-11-111-11-1-111-1-111-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1i−ii−ii−ii−i1-1-11111-1-1-111-1-111-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1i−ii−ii−ii−iiii−i−i−iiii−i−i−iiii−i−i−iiii−i−i−i−i−iii−i−iii−ii−ii−i−iii−i−iii-11-11-11-11
χ191-1-1111-1-11-111-11-1-111-1-111-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1−ii−ii−ii−ii1-1-11111-1-1-111-1-111-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1−ii−ii−ii−ii−i−i−iiii−i−i−iiii−i−i−iiii−i−i−iiiiii−i−iii−i−ii−ii−iii−i−iii−i−i-11-11-11-11
χ201-1-1111-1-11-111-11-1-111-1-111-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1−ii−ii−ii−ii1-1-11111-1-1-111-1-111-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1−ii−ii−ii−ii−i−i−iiii−i−i−iiii−i−i−iiii−i−i−iiii−i−iii−i−iii−ii−ii−i−iii−i−iii1-11-11-11-1
χ211-1-1111-1-11-111-11-1-1-1-111-1-11111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1i−ii−i−ii−ii1-1-11111-1-1-1-1-111-1-111-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111111i−ii−i−ii−iiiii−i−i−iiii−i−i−i−i−i−iiii−i−i−iiiiii−i−iii−i−ii−ii−i−i−iii−i−iii1-1-111-1-11
χ221-1-1111-1-11-111-11-1-1-1-111-1-11111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1i−ii−i−ii−ii1-1-11111-1-1-1-1-111-1-111-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111111i−ii−i−ii−iiiii−i−i−iiii−i−i−i−i−i−iiii−i−i−iiii−i−iii−i−iii−ii−iiii−i−iii−i−i-111-1-111-1
χ231-1-1111-1-11-111-11-1-1-1-111-1-11111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1−ii−iii−ii−i1-1-11111-1-1-1-1-111-1-111-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111111−ii−iii−ii−i−i−i−iiii−i−i−iiiiiii−i−i−iiii−i−i−iii−i−iii−i−ii−ii−i−i−iii−i−iii-111-1-111-1
χ241-1-1111-1-11-111-11-1-1-1-111-1-11111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1−ii−iii−ii−i1-1-11111-1-1-1-1-111-1-111-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111111−ii−iii−ii−i−i−i−iiii−i−i−iiiiiii−i−i−iiii−i−i−i−i−iii−i−iii−ii−iiii−i−iii−i−i1-1-111-1-11
χ251-1-11-1-111-1111-11-1-111-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i−iii−i−ii-11-11-1-1-111111-1-1-1-111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i−iii−i−iiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiii−i−i−i−iiii−i−iiii−i−i−i−iii1-11-1-11-11
χ261-1-11-1-111-1111-11-1-111-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i−iii−i−ii-11-11-1-1-111111-1-1-1-111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i−iii−i−iiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiii−i−iiiii−i−i−iii−i−i−iiiii−i−i-11-111-11-1
χ271-1-11-1-111-1111-11-1-111-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111−iii−i−iii−i-11-11-1-1-111111-1-1-1-111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−iii−i−iii−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−iii−i−i−i−iiii−i−iiii−i−i−i−iii-11-111-11-1
χ281-1-11-1-111-1111-11-1-111-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111−iii−i−iii−i-11-11-1-1-111111-1-1-1-111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−iii−i−iii−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−iiiii−i−i−iii−i−i−iiiii−i−i1-11-1-11-11
χ291-1-11-1-111-1111-11-1-1-1-11111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i−ii−iii−i-11-11-1-1-1111-1-11111-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1i−i−ii−iii−iiii−i−i−i−i−i−iiii−i−i−iiiiiii−i−i−iii−i−i−i−iiii−i−ii−i−iiiii−i−i1-1-11-111-1
χ301-1-11-1-111-1111-11-1-1-1-11111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i−ii−iii−i-11-11-1-1-1111-1-11111-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1i−i−ii−iii−iiii−i−i−i−i−i−iiii−i−i−iiiiiii−i−i−i−i−iiiii−i−i−iii−iii−i−i−i−iii-111-11-1-11
χ311-1-11-1-111-1111-11-1-1-1-11111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111−iii−ii−i−ii-11-11-1-1-1111-1-11111-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1−iii−ii−i−ii−i−i−iiiiiii−i−i−iiii−i−i−i−i−i−iiiiii−i−i−i−iiii−i−ii−i−iiiii−i−i-111-11-1-11
χ321-1-11-1-111-1111-11-1-1-1-11111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111−iii−ii−i−ii-11-11-1-1-1111-1-11111-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1−iii−ii−i−ii−i−i−iiiiiii−i−i−iiii−i−i−i−i−i−iiii−i−iiiii−i−i−iii−iii−i−i−i−iii1-1-11-111-1
χ33222222222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ34222222222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111110000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-11111111111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111111111111111111111-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
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Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.