Finite Group Databasebeta

← Group #72314629

Character table — Group #72314629

Order 8192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137
size11222444444888888888888888816161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232326464646464646464646464646464646464646464128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128256256256256
order12222222222222222222222224422222222222222244444444444444422222444444444444444444444444444444444444444444444444444444444448888888888884488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1111111111-1-11-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1111111111-1-11-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ7111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1111111111-1-11-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1111111111-1-11-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111
χ91111111111111111111111-1-111111111-111-1-11-1-1-1-11-1-1-111-1-11111-1-1-1111-111-1-1-1-1-11111-1-1-1-11-1-1-111111-1-1-1-111111111ii−i−i-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i11-1-1
χ101111111111111111111111-1-111111111-111-1-11-1-1-1-11-1-1-111-1-11111-1-1-1111-111-1-1-1-1-11111-1-1-1-11-1-1-111111-1-1-1-111111111−i−iii-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii11-1-1
χ111111111111111111111111-1-111111111-111-1-11-1-1-1-11-1-1-111-1-11111-1-1-1111-111-1-1-1-1-11111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1111ii−i−iii−i−i−i−iii−i−iiiii−i−i−i−iii−i−iii-1-111
χ121111111111111111111111-1-111111111-111-1-11-1-1-1-11-1-1-111-1-11111-1-1-1111-111-1-1-1-1-11111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1111−i−iii−i−iiiii−i−iii−i−i−i−iiiii−i−iii−i−i-1-111
χ131111111111111111111111-1-111111111-1-1-1111-1-1-1-11-1-1-1-1-1111111-1-1-111-111-11-1-1-1-1-1-1-1-111111-1-1-11-1-1-1-1111111111111ii−i−i-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iii-1-111
χ141111111111111111111111-1-111111111-1-1-1111-1-1-1-11-1-1-1-1-1111111-1-1-111-111-11-1-1-1-1-1-1-1-111111-1-1-11-1-1-1-1111111111111−i−iii-1-1-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i-1-111
χ151111111111111111111111-1-111111111-1-1-1111-1-1-1-11-1-1-1-1-1111111-1-1-111-111-11-1-1-1-1-1-1-1-111111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−i1111ii−i−i−i−iii−i−iiiii−i−i−i−iii−i−iiiii−i−i11-1-1
χ161111111111111111111111-1-111111111-1-1-1111-1-1-1-11-1-1-1-1-1111111-1-1-111-111-11-1-1-1-1-1-1-1-111111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii1111−i−iiiii−i−iii−i−i−i−iiiii−i−iii−i−i−i−iii11-1-1
χ1711111111111111111-1-1-1-1-111-1111-1-1-1-1111-1-1-111-1-1111111-1-1-1-1-1-11-1-111-11-1-11-1-1-1-111-1-111-1-1-111-1111-1-111-1-1iiii−i−i−i−i1111ii−i−i-1-1-1-11111i−ii−ii−ii−i-1-1-1-1i−ii−ii−ii−ii−ii−i
χ1811111111111111111-1-1-1-1-111-1111-1-1-1-1111-1-1-111-1-1111111-1-1-1-1-1-11-1-111-11-1-11-1-1-1-111-1-111-1-1-111-1111-1-111-1-1iiii−i−i−i−i-1-1-1-1ii−i−i1111-1-1-1-1−ii−ii−ii−ii1111−ii−ii−ii−iii−ii−i
χ1911111111111111111-1-1-1-1-111-1111-1-1-1-1111-1-1-111-1-1111111-1-1-1-1-1-11-1-111-11-1-11-1-1-1-111-1-111-1-1-111-1111-1-111-1-1−i−i−i−iiiii1111−i−iii-1-1-1-11111−ii−ii−ii−ii-1-1-1-1−ii−ii−ii−ii−ii−ii
χ2011111111111111111-1-1-1-1-111-1111-1-1-1-1111-1-1-111-1-1111111-1-1-1-1-1-11-1-111-11-1-11-1-1-1-111-1-111-1-1-111-1111-1-111-1-1−i−i−i−iiiii-1-1-1-1−i−iii1111-1-1-1-1i−ii−ii−ii−i1111i−ii−ii−ii−i−ii−ii
χ2111111111111111111-1-1-1-1-111-1111-1-1-1-11-1-111-111-1-11111-1-111-1-1-1-11-1-1111-1-11-1-1-1-1-1-1-111-1-111-111-11-1-111-1-111iiii−i−i−i−i1111ii−i−i-1-1-1-1-1-1-1-1i−ii−i−ii−ii1111i−ii−i−ii−ii−ii−ii
χ2211111111111111111-1-1-1-1-111-1111-1-1-1-11-1-111-111-1-11111-1-111-1-1-1-11-1-1111-1-11-1-1-1-1-1-1-111-1-111-111-11-1-111-1-111iiii−i−i−i−i-1-1-1-1ii−i−i11111111−ii−iii−ii−i-1-1-1-1−ii−iii−ii−i−ii−ii
χ2311111111111111111-1-1-1-1-111-1111-1-1-1-11-1-111-111-1-11111-1-111-1-1-1-11-1-1111-1-11-1-1-1-1-1-1-111-1-111-111-11-1-111-1-111−i−i−i−iiiii1111−i−iii-1-1-1-1-1-1-1-1−ii−iii−ii−i1111−ii−iii−ii−ii−ii−i
χ2411111111111111111-1-1-1-1-111-1111-1-1-1-11-1-111-111-1-11111-1-111-1-1-1-11-1-1111-1-11-1-1-1-1-1-1-111-1-111-111-11-1-111-1-111−i−i−i−iiiii-1-1-1-1−i−iii11111111i−ii−i−ii−ii-1-1-1-1i−ii−i−ii−iii−ii−i
χ2511111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1111-1-1-11111-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-111-1-1-11111-1-1-1-111iiii−i−i−i−iii−i−i−i−iii−i−iiiii−i−i-111-1-111-1−i−iii-111-1-111-1i−i−ii
χ2611111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1111-1-1-11111-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-111-1-1-11111-1-1-1-111iiii−i−i−i−i−i−iii−i−iiiii−i−i−i−iii1-1-111-1-11ii−i−i1-1-111-1-11i−i−ii
χ2711111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1111-1-1-11111-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-111-1-1-11111-1-1-1-111−i−i−i−iiiiiii−i−iii−i−i−i−iiiii−i−i1-1-111-1-11−i−iii1-1-111-1-11−iii−i
χ2811111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1111-1-1-11111-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-111-1-1-11111-1-1-1-111−i−i−i−iiiii−i−iiiii−i−iii−i−i−i−iii-111-1-111-1ii−i−i-111-1-111-1−iii−i
χ2911111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111-1-11111-1-1-1-1-111-1-11111-1-1iiii−i−i−i−iii−i−i−i−iii−i−iii−i−iii-111-11-1-11ii−i−i-111-11-1-11−iii−i
χ3011111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111-1-11111-1-1-1-1-111-1-11111-1-1iiii−i−i−i−i−i−iii−i−iiiii−i−iii−i−i1-1-11-111-1−i−iii1-1-11-111-1−iii−i
χ3111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111-1-11111-1-1-1-1-111-1-11111-1-1−i−i−i−iiiiiii−i−iii−i−i−i−iii−i−iii1-1-11-111-1ii−i−i1-1-11-111-1i−i−ii
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Here i is the imaginary unit (i² = −1).