Finite Group Databasebeta

← Group #72303723

Character table — Group #72303723

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size1111222222222222224444444444444444444444448888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1244222222244444442222222222224444444444448888888888888888444444444444444444444444444444448888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ5111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ91111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-11111-1-1-1-1
χ101111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-111-1-111-1-1-1-11111
χ111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111-1-1-1-11111
χ121111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-11111-1-1-1-1
χ131111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1-1-1-1-11111
χ141111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-1111111-1-1-1-1
χ151111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111-1-1111111-1-1-1-1
χ161111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1-1-1-1-11111
χ1711111-1-111-1-1111-1-1-1-1111-1-1-111-1-11-111-1-1-1111-1-1-11iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1i−ii−ii−ii−i11-1-111-1-1
χ1811111-1-111-1-1111-1-1-1-1111-1-1-111-1-11-111-1-1-1111-1-1-11iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1−i−iii−i−iiiii−i−iii−i−i-1-111-1-111−ii−ii−ii−ii-1-111-1-111
χ1911111-1-111-1-1111-1-1-1-1111-1-1-111-1-11-111-1-1-1111-1-1-11iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111ii−i−iii−i−i−i−iii−i−iii11-1-111-1-1−ii−ii−ii−ii-1-111-1-111
χ2011111-1-111-1-1111-1-1-1-1111-1-1-111-1-11-111-1-1-1111-1-1-11iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii−i−iii−i−iii-1-111-1-111i−ii−ii−ii−i11-1-111-1-1
χ2111111-1-111-1-1111-1-1-1-1111-1-1-111-1-11-111-1-1-1111-1-1-11−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1ii−i−iii−i−i−i−iii−i−iii-1-111-1-111i−ii−ii−ii−i-1-111-1-111
χ2211111-1-111-1-1111-1-1-1-1111-1-1-111-1-11-111-1-1-1111-1-1-11−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−ii−ii−ii−ii11-1-111-1-1
χ2311111-1-111-1-1111-1-1-1-1111-1-1-111-1-11-111-1-1-1111-1-1-11−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−iii−i−iii−i−i-1-111-1-111−ii−ii−ii−ii11-1-111-1-1
χ2411111-1-111-1-1111-1-1-1-1111-1-1-111-1-11-111-1-1-1111-1-1-11−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1i−ii−ii−ii−i-1-111-1-111
χ2511111-1-1-1-1111-1-111-1-1111-1-1-1-1-111-1111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii11-1-1-1-111-1-11111-1-1−i−iiiii−i−i−iii−i−iii−i-1-11111-1-1
χ2611111-1-1-1-1111-1-111-1-1111-1-1-1-1-111-1111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii-1-11111-1-1-1-11111-1-1ii−i−i−i−iiii−i−iii−i−ii11-1-1-1-111
χ2711111-1-1-1-1111-1-111-1-1111-1-1-1-1-111-1111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i11-1-1-1-11111-1-1-1-111−i−iiiii−i−ii−i−iii−i−ii11-1-1-1-111
χ2811111-1-1-1-1111-1-111-1-1111-1-1-1-1-111-1111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-1-11111-1-111-1-1-1-111ii−i−i−i−iii−iii−i−iii−i-1-11111-1-1
χ2911111-1-1-1-1111-1-111-1-1111-1-1-1-1-111-1111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii11-1-1-1-11111-1-1-1-111ii−i−i−i−iii−iii−i−iii−i11-1-1-1-111
χ3011111-1-1-1-1111-1-111-1-1111-1-1-1-1-111-1111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-1-11111-1-111-1-1-1-111−i−iiiii−i−ii−i−iii−i−ii-1-11111-1-1
χ3111111-1-1-1-1111-1-111-1-1111-1-1-1-1-111-1111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i11-1-1-1-111-1-11111-1-1ii−i−i−i−iiii−i−iii−i−ii-1-11111-1-1
χ3211111-1-1-1-1111-1-111-1-1111-1-1-1-1-111-1111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i-1-11111-1-1-1-11111-1-1−i−iiiii−i−i−iii−i−iii−i11-1-1-1-111
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χ36222222222222222222-22-2-22-2-22-2-2-222-2-22-2-22-2-22-2-20000000000000000-22-22-22-220000000000000000000000000000000000000000
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χ10044-4-4-44-4-44-4444-44-4-44000000000000000000000000-222-2-222-22-2-222-2-22000000000000000000000000000000000000000000000000
χ10144-4-4-4-444-4-444-444-44-40000000000000000000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ10244-4-4-4-444-4-444-444-44-4000000000000000000000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ10344-4-4-4-44-444-444-4-444-40000000000000000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ10444-4-4-4-44-444-444-4-444-4000000000000000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ10516-1616i−16i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10616-16−16i16i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).