Finite Group Databasebeta

← Group #10822583

Character table — Group #10822583

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222224444444444444444888888888888242424242424242411112222222222222244444444444444448888888888882424242424242424
order1222222222366666662222666666666666444412121212121212124444444422222222226666666622226666666666664444121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ8111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1
χ92222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000
χ102222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000002222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000
χ112222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000002222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-1111100000000
χ122222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000002222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-100000000
χ1322222-2-22-2-2222222220000-2-2-2-2000000002-20022-2-200000000000022222-2-22-2-2222222220000-2-2-2-2000000002-20022-2-2000000000000
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χ1622222-2-22-2-2-1-1-1-1-1-1-1-100001111−i3−i3−i3−i3i3i3i3i3-220011-1-1i3i3−i3−i30000000022222-2-22-2-2-1-1-1-1-1-1-1-100001111−i3−i3−i3−i3i3i3i3i3-220011-1-1i3i3−i3−i300000000
χ1722222-2-22-2-2-1-1-1-1-1-1-1-100001111i3i3i3i3−i3−i3−i3−i32-200-1-111i3i3−i3−i30000000022222-2-22-2-2-1-1-1-1-1-1-1-100001111i3i3i3i3−i3−i3−i3−i32-200-1-111i3i3−i3−i300000000
χ1822222-2-22-2-2-1-1-1-1-1-1-1-100001111i3i3i3i3−i3−i3−i3−i3-220011-1-1−i3−i3i3i30000000022222-2-22-2-2-1-1-1-1-1-1-1-100001111i3i3i3i3−i3−i3−i3−i3-220011-1-1−i3−i3i3i300000000
χ192222-22-2-22-222-2-222-2-2000022-2-200000000000000000000002-200002222-22-2-22-222-2-222-2-2000022-2-200000000000000000000002-20000
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χ2422-2-2222-2-2-22222-2-2-2-2-2-2222-22-2-2-222-2-2220000000000000000000022-2-2222-2-2-22222-2-2-2-2-2-2222-22-2-2-222-2-22200000000000000000000
χ2522-2-2222-2-2-2-1-1-1-1111122-2-2-11-11-1-111-1-11100003−33−33−33−30000000022-2-2222-2-2-2-1-1-1-1111122-2-2-11-11-1-111-1-11100003−33−33−33−300000000
χ2622-2-2222-2-2-2-1-1-1-1111122-2-2-11-11-1-111-1-1110000−33−33−33−330000000022-2-2222-2-2-2-1-1-1-1111122-2-2-11-11-1-111-1-1110000−33−33−33−3300000000
χ2722-2-2222-2-2-2-1-1-1-11111-2-222-11-1111-1-111-1-100003−33−3−33−330000000022-2-2222-2-2-2-1-1-1-11111-2-222-11-1111-1-111-1-100003−33−3−33−3300000000
χ2822-2-2222-2-2-2-1-1-1-11111-2-222-11-1111-1-111-1-10000−33−333−33−30000000022-2-2222-2-2-2-1-1-1-11111-2-222-11-1111-1-111-1-10000−33−333−33−300000000
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χ3522-2-2-22-22-2222-2-2-2-22200002-2-22000000000000000000000000002i−2i22-2-2-22-22-2222-2-2-2-22200002-2-22000000000000000000000000002i−2i
χ3622-2-2-22-22-2222-2-2-2-22200002-2-2200000000000000000000000000−2i2i22-2-2-22-22-2222-2-2-2-22200002-2-2200000000000000000000000000−2i2i
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χ394444-44-4-44-4-2-222-2-2220000-2-22200000000000000000000000000004444-44-4-44-4-2-222-2-2220000-2-2220000000000000000000000000000
χ404444-4-44-4-44-2-222-2-222000022-2-200000000000000000000000000004444-4-44-4-44-2-222-2-222000022-2-20000000000000000000000000000
χ4144-4-4-44-44-44-2-22222-2-20000-222-2000000000000000000000000000044-4-4-44-44-44-2-22222-2-20000-222-20000000000000000000000000000
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χ434-44-40000004-4004-4002-22-200002-22-22-22-2000000000000000000004-44-40000004-4004-4002-22-200002-22-22-22-200000000000000000000
χ444-44-40000004-4004-400-22-220000-22-22-22-22000000000000000000004-44-40000004-4004-400-22-220000-22-22-22-2200000000000000000000
χ454-44-4000000-22−2i32i3-22−2i32i32-22-20000−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i3000000000000000000004-44-4000000-22−2i32i3-22−2i32i32-22-20000−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i300000000000000000000
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χ494-4-440000004-400-44002-2-2200002-2-222-2-22000000000000000000004-4-440000004-400-44002-2-2200002-2-222-2-2200000000000000000000
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χ514-4-44000000-22−2i32i32-22i3−2i32-2-220000−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i3000000000000000000004-4-44000000-22−2i32i32-22i3−2i32-2-220000−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i300000000000000000000
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χ544-4-44000000-222i3−2i32-2−2i32i3-222-200001−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i3000000000000000000004-4-44000000-222i3−2i32-2−2i32i3-222-200001−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i300000000000000000000
χ55111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ561111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ571111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111
χ581111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1
χ59111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-11111
χ60111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1
χ61111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-11111-1-1
χ62111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-111
χ632222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2111111111111-2-2-2-21111111100000000
χ642222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000-2-2-2-2-2-2-2-2-2-211111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-100000000
χ652222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-1111100000000-2-2-2-2-2-2-2-2-2-21111111122221111-1-1-1-1-1-1-1-1-2-2221111-1-1-1-100000000
χ662222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-100000000-2-2-2-2-2-2-2-2-2-21111111122221111-1-1-1-1-1-1-1-122-2-2-1-1-1-1111100000000
χ6722222-2-22-2-2222222220000-2-2-2-2000000002-20022-2-2000000000000-2-2-2-2-222-222-2-2-2-2-2-2-2-20000222200000000-2200-2-222000000000000
χ6822222-2-22-2-2222222220000-2-2-2-200000000-2200-2-222000000000000-2-2-2-2-222-222-2-2-2-2-2-2-2-200002222000000002-20022-2-2000000000000
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χ732222-22-2-22-222-2-222-2-2000022-2-200000000000000000000002-20000-2-2-2-22-222-22-2-222-2-2220000-2-2220000000000000000000000-220000
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χ752222-2-22-2-2222-2-222-2-20000-2-222000000000000000000002-2000000-2-2-2-222-222-2-2-222-2-222000022-2-200000000000000000000-22000000
χ762222-2-22-2-2222-2-222-2-20000-2-22200000000000000000000-22000000-2-2-2-222-222-2-2-222-2-222000022-2-2000000000000000000002-2000000
χ7722-2-2222-2-2-22222-2-2-2-222-2-22-22-222-2-222-2-200000000000000000000-2-222-2-2-2222-2-2-2-22222-2-222-22-22-2-222-2-22200000000000000000000
χ7822-2-2222-2-2-22222-2-2-2-2-2-2222-22-2-2-222-2-22200000000000000000000-2-222-2-2-2222-2-2-2-2222222-2-2-22-2222-2-222-2-200000000000000000000
χ7922-2-2222-2-2-2-1-1-1-1111122-2-2-11-11-1-111-1-11100003−33−33−33−300000000-2-222-2-2-22221111-1-1-1-1-2-2221-11-111-1-111-1-10000−33−33−33−3300000000
χ8022-2-2222-2-2-2-1-1-1-1111122-2-2-11-11-1-111-1-1110000−33−33−33−3300000000-2-222-2-2-22221111-1-1-1-1-2-2221-11-111-1-111-1-100003−33−33−33−300000000
χ8122-2-2222-2-2-2-1-1-1-11111-2-222-11-1111-1-111-1-100003−33−3−33−3300000000-2-222-2-2-22221111-1-1-1-122-2-21-11-1-1-111-1-1110000−33−333−33−300000000
χ8222-2-2222-2-2-2-1-1-1-11111-2-222-11-1111-1-111-1-10000−33−333−33−300000000-2-222-2-2-22221111-1-1-1-122-2-21-11-1-1-111-1-11100003−33−3−33−3300000000
χ8322-2-22-2-2-2222222-2-2-2-20000-22-2200000000002i−2i00002i−2i−2i2i00000000-2-222-2222-2-2-2-2-2-2222200002-22-20000000000−2i2i0000−2i2i2i−2i00000000
χ8422-2-22-2-2-2222222-2-2-2-20000-22-220000000000−2i2i0000−2i2i2i−2i00000000-2-222-2222-2-2-2-2-2-2222200002-22-200000000002i−2i00002i−2i−2i2i00000000
χ8522-2-22-2-2-222-1-1-1-1111100001-11-1−i3−i3i3i3i3i3−i3−i3002i−2i3−3−33−iii−i00000000-2-222-2222-2-21111-1-1-1-10000-11-11i3i3−i3−i3−i3−i3i3i300−2i2i−333−3i−i−ii00000000
χ8622-2-22-2-2-222-1-1-1-1111100001-11-1−i3−i3i3i3i3i3−i3−i300−2i2i−333−3i−i−ii00000000-2-222-2222-2-21111-1-1-1-10000-11-11i3i3−i3−i3−i3−i3i3i3002i−2i3−3−33−iii−i00000000
χ8722-2-22-2-2-222-1-1-1-1111100001-11-1i3i3−i3−i3−i3−i3i3i3002i−2i−333−3−iii−i00000000-2-222-2222-2-21111-1-1-1-10000-11-11−i3−i3i3i3i3i3−i3−i300−2i2i3−3−33i−i−ii00000000
χ8822-2-22-2-2-222-1-1-1-1111100001-11-1i3i3−i3−i3−i3−i3i3i300−2i2i3−3−33i−i−ii00000000-2-222-2222-2-21111-1-1-1-10000-11-11−i3−i3i3i3i3i3−i3−i3002i−2i−333−3−iii−i00000000
χ8922-2-2-22-22-2222-2-2-2-22200002-2-22000000000000000000000000002i−2i-2-2222-22-22-2-2-22222-2-20000-222-200000000000000000000000000−2i2i
χ9022-2-2-22-22-2222-2-2-2-22200002-2-2200000000000000000000000000−2i2i-2-2222-22-22-2-2-22222-2-20000-222-2000000000000000000000000002i−2i
χ9122-2-2-2-2222-222-2-2-2-2220000-222-20000000000000000000000002i−2i00-2-22222-2-2-22-2-22222-2-200002-2-22000000000000000000000000−2i2i00
χ9222-2-2-2-2222-222-2-2-2-2220000-222-2000000000000000000000000−2i2i00-2-22222-2-2-22-2-22222-2-200002-2-220000000000000000000000002i−2i00
χ934444-44-4-44-4-2-222-2-2220000-2-2220000000000000000000000000000-4-4-4-44-444-4422-2-222-2-2000022-2-20000000000000000000000000000
χ944444-4-44-4-44-2-222-2-222000022-2-20000000000000000000000000000-4-4-4-444-444-422-2-222-2-20000-2-2220000000000000000000000000000
χ9544-4-4-44-44-44-2-22222-2-20000-222-20000000000000000000000000000-4-4444-44-44-422-2-2-2-22200002-2-220000000000000000000000000000
χ9644-4-4-4-4444-4-2-22222-2-200002-2-220000000000000000000000000000-4-44444-4-4-4422-2-2-2-2220000-222-20000000000000000000000000000
χ974-44-40000004-4004-4002-22-200002-22-22-22-200000000000000000000-44-44000000-4400-4400-22-220000-22-22-22-2200000000000000000000
χ984-44-40000004-4004-400-22-220000-22-22-22-2200000000000000000000-44-44000000-4400-44002-22-200002-22-22-22-200000000000000000000
χ994-44-4000000-22−2i32i3-22−2i32i32-22-20000−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i300000000000000000000-44-440000002-22i3−2i32-22i3−2i3-22-2200001+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i300000000000000000000
χ1004-44-4000000-22−2i32i3-22−2i32i3-22-2200001+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i300000000000000000000-44-440000002-22i3−2i32-22i3−2i32-22-20000−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i300000000000000000000
χ1014-44-4000000-222i3−2i3-222i3−2i32-22-20000−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i300000000000000000000-44-440000002-2−2i32i32-2−2i32i3-22-2200001−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i300000000000000000000
χ1024-44-4000000-222i3−2i3-222i3−2i3-22-2200001−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i300000000000000000000-44-440000002-2−2i32i32-2−2i32i32-22-20000−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i300000000000000000000
χ1034-4-440000004-400-44002-2-2200002-2-222-2-2200000000000000000000-444-4000000-44004-400-222-20000-222-2-222-200000000000000000000
χ1044-4-440000004-400-4400-222-20000-222-2-222-200000000000000000000-444-4000000-44004-4002-2-2200002-2-222-2-2200000000000000000000
χ1054-4-44000000-22−2i32i32-22i3−2i32-2-220000−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i300000000000000000000-444-40000002-22i3−2i3-22−2i32i3-222-200001+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i300000000000000000000
χ1064-4-44000000-22−2i32i32-22i3−2i3-222-200001+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i300000000000000000000-444-40000002-22i3−2i3-22−2i32i32-2-220000−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i300000000000000000000
χ1074-4-44000000-222i3−2i32-2−2i32i32-2-220000−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i300000000000000000000-444-40000002-2−2i32i3-222i3−2i3-222-200001−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i300000000000000000000
χ1084-4-44000000-222i3−2i32-2−2i32i3-222-200001−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i300000000000000000000-444-40000002-2−2i32i3-222i3−2i32-2-220000−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i300000000000000000000

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