Finite Group Databasebeta

← Group #358034

Character table — Group #358034

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11111111111111112222222244444444444444444444444488888888888888881111111111111111222222224444444444444444444444448888888888888888
order12222222222222224444444444444444888888888888888844444444444444442222222222222222444444444444444488888888888888884444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii11111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ1111111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii11111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ1211111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i11111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ1311111-1-1-1-1111-1-1-1-1111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii11111-1-1-1-1111-1-1-1-1111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ1411111-1-1-1-1111-1-1-1-1111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i11111-1-1-1-1111-1-1-1-1111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ1511111-1-1-1-1111-1-1-1-1111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i11111-1-1-1-1111-1-1-1-1111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111-1-1-1-1111-1-1-1-1111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii11111-1-1-1-1111-1-1-1-1111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ172222222222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000000000000000000002222222222222222-2-2-2-2-2-2-2-222-2-222-2-200000000000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-222-2-222000000000000000000000000000000002222222222222222-2-2-2-2-2-2-2-2-2-222-2-22200000000000000000000000000000000
χ1922222-2-2-2-2222-2-2-2-2-2-2-22222-222-2-2-2-2220000000000000000000000000000000022222-2-2-2-2222-2-2-2-2-2-2-22222-222-2-2-2-22200000000000000000000000000000000
χ2022222-2-2-2-2222-2-2-2-2-2-2-22222-2-2-22222-2-20000000000000000000000000000000022222-2-2-2-2222-2-2-2-2-2-2-22222-2-2-22222-2-200000000000000000000000000000000
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χ22222-2-2222-22-2-22-2-2-222-222-2-2-2000000000000000000000000000000000000-22-22222-2-2222-22-2-22-2-2-222-222-2-2-2000000000000000000000000000000000000-22-22
χ23222-2-2222-22-2-22-2-2-2-2-22-2-2222000000000000000000000000000000002i−2i2i−2i0000222-2-2222-22-2-22-2-2-2-2-22-2-2222000000000000000000000000000000002i−2i2i−2i0000
χ24222-2-2222-22-2-22-2-2-2-2-22-2-222200000000000000000000000000000000−2i2i−2i2i0000222-2-2222-22-2-22-2-2-2-2-22-2-222200000000000000000000000000000000−2i2i−2i2i0000
χ25222-2-2-2-2-222-2-2-222222-2-2-222-20000000000000000000000000000000000002i−2i−2i2i222-2-2-2-2-222-2-2-222222-2-2-222-20000000000000000000000000000000000002i−2i−2i2i
χ26222-2-2-2-2-222-2-2-222222-2-2-222-2000000000000000000000000000000000000−2i2i2i−2i222-2-2-2-2-222-2-2-222222-2-2-222-2000000000000000000000000000000000000−2i2i2i−2i
χ27222-2-2-2-2-222-2-2-2222-2-2222-2-22000000000000000000000000000000002-2-220000222-2-2-2-2-222-2-2-2222-2-2222-2-22000000000000000000000000000000002-2-220000
χ28222-2-2-2-2-222-2-2-2222-2-2222-2-2200000000000000000000000000000000-222-20000222-2-2-2-2-222-2-2-2222-2-2222-2-2200000000000000000000000000000000-222-20000
χ2922-22-222-2-2-22-2-222-200000000002i−2i002i−2ii2i2−i2−i2i2i2−i2−i222−2−222−2−2000000000000000022-22-222-2-2-22-2-222-200000000002i−2i002i−2ii2i2−i2−i2i2i2−i2−i222−2−222−2−20000000000000000
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χ3622-22-2-2-222-22-22-2-220000000000−2i2i002i−2i−i2−i2i2i2i2i2−i2−i222−2−2−2−222000000000000000022-22-2-2-222-22-22-2-220000000000−2i2i002i−2i−i2−i2i2i2i2i2−i2−i222−2−2−2−2220000000000000000
χ372-22-222-22-2-22-2-22-22000000002-2002-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000002-22-222-22-2-22-2-22-22000000002-2002-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ382-22-222-22-2-22-2-22-22000000002-2002-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000002-22-222-22-2-22-2-22-22000000002-2002-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ392-22-222-22-2-22-2-22-2200000000-2200-2200i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000000000002-22-222-22-2-22-2-22-2200000000-2200-2200i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ402-22-222-22-2-22-2-22-2200000000-2200-2200−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000000000002-22-222-22-2-22-2-22-2200000000-2200-2200−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ412-22-22-22-22-22-22-22-2000000002-200-2200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000000000002-22-22-22-22-22-22-22-2000000002-200-2200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ422-22-22-22-22-22-22-22-2000000002-200-2200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000000000002-22-22-22-22-22-22-22-2000000002-200-2200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ432-22-22-22-22-22-22-22-200000000-22002-200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000000000002-22-22-22-22-22-22-22-200000000-22002-200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000000000
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χ452-2-2222-2-2-22-2-22-2222-222-22-2-200000000000000000000000000002i−2i2i−2i000000002-2-2222-2-2-22-2-22-2222-222-22-2-200000000000000000000000000002i−2i2i−2i00000000
χ462-2-2222-2-2-22-2-22-2222-222-22-2-20000000000000000000000000000−2i2i−2i2i000000002-2-2222-2-2-22-2-22-2222-222-22-2-20000000000000000000000000000−2i2i−2i2i00000000
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χ482-2-2222-2-2-22-2-22-222-22-2-22-222000000000000000000000000-22-220000000000002-2-2222-2-2-22-2-22-222-22-2-22-222000000000000000000000000-22-22000000000000
χ492-2-222-22222-2-2-22-2-22-22-22-22-200000000000000000000000000002-2-22000000002-2-222-22222-2-2-22-2-22-22-22-22-200000000000000000000000000002-2-2200000000
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χ542-2-2-2-22-2-2222222-2-22-2-22-2-22200000000-222-2-222-20000000000000000000000002-2-2-2-22-2-2222222-2-22-2-22-2-22200000000-222-2-222-2000000000000000000000000
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χ582-2-2-2-2-222-2222-2-2222-2-2-222-2200000000-222-22-2-220000000000000000000000002-2-2-2-2-222-2222-2-2222-2-2-222-2200000000-222-22-2-22000000000000000000000000
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χ66111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ6711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111
χ6811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ69111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ70111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ72111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
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χ7411111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-1-1-1-11111-1-1-11111-1-1-11111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i
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χ7611111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i-1-1-1-1-11111-1-1-11111-1-1-11111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii
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χ8011111-1-1-1-1111-1-1-1-1111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-1-1-1-11111-1-1-11111-1-1-11111-11111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i
χ812222222222222222-2-2-2-2-2-2-2-222-2-222-2-200000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-222-2-22200000000000000000000000000000000
χ822222222222222222-2-2-2-2-2-2-2-2-2-222-2-22200000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-222-2-200000000000000000000000000000000
χ8322222-2-2-2-2222-2-2-2-2-2-2-22222-222-2-2-2-22200000000000000000000000000000000-2-2-2-2-22222-2-2-22222222-2-2-2-22-2-22222-2-200000000000000000000000000000000
χ8422222-2-2-2-2222-2-2-2-2-2-2-22222-2-2-22222-2-200000000000000000000000000000000-2-2-2-2-22222-2-2-22222222-2-2-2-2222-2-2-2-22200000000000000000000000000000000
χ85222-2-2222-22-2-22-2-2-222-222-2-2-20000000000000000000000000000000000002-22-2-2-2-222-2-2-22-222-2222-2-22-2-2222000000000000000000000000000000000000-22-22
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χ87222-2-2222-22-2-22-2-2-2-2-22-2-2222000000000000000000000000000000002i−2i2i−2i0000-2-2-222-2-2-22-222-222222-222-2-2-200000000000000000000000000000000−2i2i−2i2i0000
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χ91222-2-2-2-2-222-2-2-2222-2-2222-2-22000000000000000000000000000000002-2-220000-2-2-222222-2-2222-2-2-222-2-2-222-200000000000000000000000000000000-222-20000
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χ1202-2-2-2-22-2-2222222-2-2-222-222-2-20000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000-22222-222-2-2-2-2-2-2222-2-22-2-22200000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
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χ1222-2-2-2-2-222-2222-2-2222-2-2-222-2200000000-222-22-2-22000000000000000000000000-222222-2-22-2-2-222-2-2-2222-2-22-2000000002-2-22-222-2000000000000000000000000
χ1232-2-2-2-2-222-2222-2-222-2222-2-22-200000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000-222222-2-22-2-2-222-2-22-2-2-222-220000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
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χ1284-444-4-44-4-4-4-4444-44000000000000000000000000000000000000000000000000-44-4-444-44444-4-4-44-4000000000000000000000000000000000000000000000000

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