Finite Group Databasebeta

← Group #72317043

Character table — Group #72317043

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size111111111111111122222222222222222222222244444444444444448888888888888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616
order1222222244444444222222222222444444444444222222224444444422222222444444444444444444444444444444444444444422444444444444448888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ91111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ101111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ121111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ131111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ141111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ151111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ161111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ171-1-111-1-111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-111-1-11-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1
χ181-1-111-1-111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-1-111-11−i−iii−i−iii−i−iii−i−iii-1-111-1-111
χ191-1-111-1-111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-111-1-11-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1
χ201-1-111-1-111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-1-111-11ii−i−iii−i−iii−i−iii−i−i-1-111-1-111
χ211-1-111-1-111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1-111-1-11-1ii−i−iii−i−i−i−iii−i−iii-1-111-1-111
χ221-1-111-1-111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-11-1-111-11−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1
χ231-1-111-1-111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1-111-1-11-1−i−iii−i−iiiii−i−iii−i−i-1-111-1-111
χ241-1-111-1-111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-11-1-111-11ii−i−iii−i−i−i−iii−i−iii11-1-111-1-1
χ251-1-111-1-111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii1-1-1-1111-1ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111
χ261-1-111-1-111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1111-1-1-11−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1
χ271-1-111-1-111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1-1-1111-1−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111
χ281-1-111-1-111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1111-1-1-11ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1
χ291-1-111-1-111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1-1-1111-1ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1
χ301-1-111-1-111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1111-1-1-11−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111
χ311-1-111-1-111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii1-1-1-1111-1−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1
χ321-1-111-1-111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1111-1-1-11ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111
χ33222222222222222222-2-2-2-222-2-2-2-2-2-2-2-222-2-2-2-22222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000000000000000000000000000000000002-22-22-22-2
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χ35222222222222222222-2-2-2-222-2-2-2-2-2-2-2-222-2-2-2-222-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000000000002-22-2-22-22
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χ402222222222222222-2-222-2-2-2-22-2-2222-2-2-2-222-2-2-2-2-22-22-22-22-22-22-22-2200000000000000000000000000000000-2-222-2-22222-2-222-2-200000000000000000000000000000000
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χ68222-2-2-2-2222-2-222-2-2-222-2-22-222-22-22-2-22-222-2-22-220000000000000000-22-220000−2i2i−2i2i−2i2i−2i2i00000000-22-2200002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).