Finite Group Databasebeta

← Group #72258056

Character table — Group #72258056

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137
size1122222224444444444444444444444444444888888888888888888888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161664646464646464646464646464646464
order12222222222222222222222222222444444442222222222222222222222222222224444444444444444444444444424444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−iii−i−i
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−iii
χ5111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ7111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−i−i−iii−i−iii
χ8111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiiiii−i−iii−i−i
χ91111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1
χ101111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111
χ111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111ii−i−iii−i−iii−i−i−i−iii
χ121111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−iii−i−iii−i−iiiii−i−i
χ131111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111
χ141111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1
χ151111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1ii−i−i−i−i−i−iiiiiii−i−i
χ161111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−iiiiiii−i−i−i−i−i−iii
χ1711111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-11-11-11-11-1
χ1811111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-11-11-11-11
χ1911111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111i−ii−ii−i−ii−ii−iii−i−ii
χ2011111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111−ii−ii−iii−ii−ii−i−iii−i
χ2111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-111-11-1-11-11-11
χ2211111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111-1-11-111-11-11-1
χ2311111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1i−ii−i−ii−ii−iii−i−iii−i
χ2411111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1−ii−iii−ii−ii−i−iii−i−ii
χ2511111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-11-1-111-1-11-11
χ2611111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-11-111-1-111-11-1
χ2711111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1i−i−iii−i−iii−i−ii−iii−i
χ2811111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−iii−i−iii−i−iii−ii−i−ii
χ2911111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-111-1-11-111-11-1
χ3011111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-11-1-111-11-1-11-11
χ3111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111i−i−ii−ii−iii−ii−ii−i−ii
χ3211111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−iii−ii−ii−i−ii−ii−iii−i
χ332222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022-2-222-2-22222-2-2000000000000000022-2-222-2-2-2-2-222-2000000000000000022-2-222-2-20000000000000000
χ342222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022-2-222-2-2-2-2-2-222000000000000000022-2-222-2-2222-2-220000000000000000-2-222-2-2220000000000000000
χ352222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-222-2-2222222-2-20000000000000000-2-222-2-222-2-2-222-20000000000000000-2-222-2-2220000000000000000
χ362222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-222-2-222-2-2-2-2220000000000000000-2-222-2-222222-2-22000000000000000022-2-222-2-20000000000000000
χ372222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000022-2-2-2-2222222-2-2000000000000000022-2-2-2-222-2-22-2-22000000000000000022-2-2-2-2220000000000000000
χ382222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000022-2-2-2-222-2-2-2-222000000000000000022-2-2-2-22222-222-20000000000000000-2-22222-2-20000000000000000
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χ402222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000-2-22222-2-2-2-2-2-2220000000000000000-2-22222-2-222-222-2000000000000000022-2-2-2-2220000000000000000
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χ43222222222-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-2-2-200000000-2-222-2-2220000000022-2-22200000000-2-222-2-22200000000-2-2-22-2200000000-2-222-2-222000000000000000000000000
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χ47222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2222200000000-2-22222-2-20000000022-2-22200000000-2-22222-2-200000000-2-22-22-200000000-2-22222-2-2000000000000000000000000
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χ49222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222222-2-222-2-2000000000000000022-2-2-2-222-2-222-2-200000000000000002222-2-222-2-222-2-200000000000000000000000000000000
χ50222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222222-2-222-2-20000000000000000-2-2222222-2-222-2-20000000000000000-2-2-2-222-2-222-2-22200000000000000000000000000000000
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χ53222222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-222-2-2-2-222000000000000000022-2-2-2-222-2-2-2-222000000000000000022-2-22222-2-2-2-22200000000000000000000000000000000
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χ56222222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-22222-2-20000000000000000-2-22222-2-22222-2-20000000000000000-2-222-2-222-2-2-2-22200000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).