Finite Group Databasebeta

← Group #358336

Character table — Group #358336

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111112222222222222222222222224444444444444444888888888888888888888888888888888888888888888888
order12222222444444442222222222224444444444448888888888888888444444444444444444444444888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ911111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1211111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1411111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1511111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1611111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ171111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-1
χ181111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i−i−iii−i−iii-1-111-1-111−i−iii−i−iii-1-111-1-111
χ191111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1−i−iii−i−iii-1-111-1-111
χ201111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii−i−iii−i−iii-1-111-1-111ii−i−iii−i−i11-1-111-1-1
χ211111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iiiii−i−iii−i−i-1-111-1-111ii−i−iii−i−i-1-111-1-111
χ221111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii11-1-111-1-1
χ231111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii11-1-111-1-1
χ241111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i-1-111-1-111
χ251111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii11-1-1-1-111
χ261111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i-1-11111-1-1
χ271111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i-1-11111-1-1
χ281111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii11-1-1-1-111
χ291111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii-1-11111-1-1
χ301111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i11-1-1-1-111
χ311111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i11-1-1-1-111
χ321111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii-1-11111-1-1
χ3322222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ3422222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ352222222222222222-2-2-2-222-2-222-2-22-22-2-2-2-2-22-22-2000000000000000000000000000000002-22-22-22-2000000000000000000000000
χ362222222222222222-2-2-2-222-2-222-2-22-22-2-2-2-2-22-22-200000000000000000000000000000000-22-22-22-22000000000000000000000000
χ372222222222222222-2-2-2-2-2-222-2-222-22-22-2-2-2-2-22-2222-2-222-2-222-2-222-2-2000000000000000000000000000000000000000000000000
χ382222222222222222-2-2-2-2-2-222-2-222-22-22-2-2-2-2-22-22-2-222-2-222-2-222-2-222000000000000000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ4022222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ4122222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-2-22-222222-22-2222-2-222-2-2-2-222-2-222000000000000000000000000000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-2-22-222222-22-22-2-222-2-22222-2-222-2-2000000000000000000000000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2222-22-222222-22-2000000000000000000000000000000002-22-2-22-22000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2222-22-222222-22-200000000000000000000000000000000-22-222-22-2000000000000000000000000
χ452222-2-2-2-22222-2-2-2-222-2-2-2-2-2-22222-2-22222-2-2-2-22200000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ462222-2-2-2-22222-2-2-2-222-2-2-2-2-2-22222-2-22222-2-2-2-2220000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ472222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2222-2-22-2-2222-2-22000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ482222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2222-2-22-2-2222-2-2200000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ492222-2-2-2-22222-2-2-2-2-2-222-2-22222-2-2-222-2-2-222-222-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ502222-2-2-2-22222-2-2-2-2-2-222-2-22222-2-2-222-2-2-222-222-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ512222-2-2-2-2-2-2-2-2222222-2-22222-2-2-2-2-2-222-2-222-2-22200000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ522222-2-2-2-2-2-2-2-2222222-2-22222-2-2-2-2-2-222-2-222-2-2220000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ532222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-222-222-222-2-2-222-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ542222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-222-222-222-2-2-222-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ552222-2-2-2-2-2-2-2-22222-2-222-2-22222-2-22-2-2222-2-22-2-22000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ562222-2-2-2-2-2-2-2-22222-2-222-2-22222-2-22-2-2222-2-22-2-2200000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ5722-2-222-2-222-2-222-2-22-22-22-22-22-22-222222-22-2-2-2-2-20000000000000000000000002-22-22-22-200000000000000000000000000000000
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χ6022-2-222-2-222-2-222-2-22-22-2-22-22-22-22-2-2-2-22-22-22222000000000000000000000000000000000000000000000000-22-22-22-2200000000
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χ6222-2-222-2-222-2-222-2-2-22-222-2-222-2-222-22-2-22-22-22-2200000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i
χ6322-2-222-2-222-2-222-2-2-22-22-222-2-222-2-22-22-22-222-22-200000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000
χ6422-2-222-2-222-2-222-2-2-22-22-222-2-222-2-22-22-22-222-22-20000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000
χ6522-2-222-2-2-2-222-2-2222-22-22-22-22-22-2-2-2-2-2-22-2222220000000000000000000000000000000000000000000000002-22-2-22-2200000000
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χ7022-2-222-2-2-2-222-2-222-22-222-2-222-2-22-22-222-22-22-22-20000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000
χ7122-2-222-2-2-2-222-2-222-22-22-222-2-222-22-22-22-22-2-22-22000000000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i
χ7222-2-222-2-2-2-222-2-222-22-22-222-2-222-22-22-22-22-2-22-2200000000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i
χ7322-2-2-2-22222-2-2-2-2222-2-222-22-2-22-2222-2-22-2-22-2-2220000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ7422-2-2-2-22222-2-2-2-2222-2-222-22-2-22-2222-2-22-2-22-2-222000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ7522-2-2-2-22222-2-2-2-2222-2-22-22-222-22-2-2-2222-2-2222-2-20000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ7622-2-2-2-22222-2-2-2-2222-2-22-22-222-22-2-2-2222-2-2222-2-2000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ7722-2-2-2-22222-2-2-2-222-222-22-2-22-222-22-2-22-222-2-222-2000000000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i
χ7822-2-2-2-22222-2-2-2-222-222-22-2-22-222-22-2-22-222-2-222-200000000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i
χ7922-2-2-2-22222-2-2-2-222-222-2-222-22-2-22-222-2-222-22-2-2200000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000
χ8022-2-2-2-22222-2-2-2-222-222-2-222-22-2-22-222-2-222-22-2-220000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000
χ8122-2-2-2-222-2-22222-2-22-2-222-22-2-22-22-2-222-222-222-2-20000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ8222-2-2-2-222-2-22222-2-22-2-222-22-2-22-22-2-222-222-222-2-2000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
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χ8422-2-2-2-222-2-22222-2-22-2-22-22-222-22-222-2-2-222-2-2-222000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
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χ8622-2-2-2-222-2-22222-2-2-222-22-2-22-222-2-222-22-2-222-2-220000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000
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χ8822-2-2-2-222-2-22222-2-2-222-2-222-22-2-222-2-222-2-22-222-200000000000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i
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χ984-4-444-4-444i−4i−4i4i4i−4i−4i4i000000000000000000000000−222200−222200−2i22i200−2i22i200000000000000000000000000000000000000000000000000
χ994-4-444-4-44−4i4i4i−4i−4i4i4i−4i00000000000000000000000022−220022−2200−2i22i200−2i22i200000000000000000000000000000000000000000000000000
χ1004-4-444-4-44−4i4i4i−4i−4i4i4i−4i000000000000000000000000−222200−2222002i2−2i2002i2−2i200000000000000000000000000000000000000000000000000
χ1014-4-44-444-44i−4i−4i4i−4i4i4i−4i0000000000000000000000002i2−2i200−2i22i200−22220022−2200000000000000000000000000000000000000000000000000
χ1024-4-44-444-44i−4i−4i4i−4i4i4i−4i000000000000000000000000−2i22i2002i2−2i20022−2200−222200000000000000000000000000000000000000000000000000
χ1034-4-44-444-4−4i4i4i−4i4i−4i−4i4i0000000000000000000000002i2−2i200−2i22i20022−2200−222200000000000000000000000000000000000000000000000000
χ1044-4-44-444-4−4i4i4i−4i4i−4i−4i4i000000000000000000000000−2i22i2002i2−2i200−22220022−2200000000000000000000000000000000000000000000000000

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