Finite Group Databasebeta

← Group #10726655

Character table — Group #10726655

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111111122222222222222222222222244444444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order12222222222222222222222236666666666666664444444466666666121212121212121212121212121212124444444412121212121212121212121212121212222222224444444422444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ121111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ17222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ18222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ19222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ20222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ212222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ222222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ232222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ242222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ25222222-2-2-22-2-22-2-2-2000000002222222-2-2-2-2-2-22-2-200002i2i−2i−2i00000000000000002i2i2i2i−2i−2i−2i−2i00000000000000000000000022-2-2000000002i2i−2i−2i00000000
χ26222222-2-2-22-2-22-2-2-2000000002222222-2-2-2-2-2-22-2-200002i2i−2i−2i00000000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000-2-22200000000−2i−2i2i2i00000000
χ27222222-2-2-22-2-22-2-2-2000000002222222-2-2-2-2-2-22-2-20000−2i−2i2i2i0000000000000000−2i−2i−2i−2i2i2i2i2i00000000000000000000000022-2-200000000−2i−2i2i2i00000000
χ28222222-2-2-22-2-22-2-2-2000000002222222-2-2-2-2-2-22-2-20000−2i−2i2i2i0000000000000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000-2-222000000002i2i−2i−2i00000000
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χ352222-2-222-2-22-2-22-2-2-2-2-2-222222222-2-2-2222-2-2-2-22-200000000-2-2-2-22222000000000000000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ362222-2-222-2-22-2-22-2-2-2-2-2-222222222-2-2-2222-2-2-2-22-200000000-2-2-2-2222200000000000000000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ372222-2-222-2-22-2-22-2-2-2-2-2-22222-1-1-1-1111-1-1-11111-11000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3−i3−i3i3i3−i3−i300002i−2i−2i2i33−3−3−3−333−i−iiiii−i−i000000000000000000000000
χ382222-2-222-2-22-2-22-2-2-2-2-2-22222-1-1-1-1111-1-1-11111-11000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3−i3−i3i3i3−i3−i30000−2i2i2i−2i−3−33333−3−3ii−i−i−i−iii000000000000000000000000
χ392222-2-222-2-22-2-22-2-2-2-2-2-22222-1-1-1-1111-1-1-11111-11000000001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3i3i3−i3−i3i3i300002i−2i−2i2i−3−33333−3−3−i−iiiii−i−i000000000000000000000000
χ402222-2-222-2-22-2-22-2-2-2-2-2-22222-1-1-1-1111-1-1-11111-11000000001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3i3i3−i3−i3i3i30000−2i2i2i−2i33−3−3−3−333ii−i−i−i−iii000000000000000000000000
χ4122-2-2222-22-2-2-2-22-2222-2-222-2-222-2-222-222-222-2-2-2-20000000022-2-222-2-20000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ4222-2-2222-22-2-2-2-22-2222-2-222-2-222-2-222-222-222-2-2-2-20000000022-2-222-2-2000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ4322-2-2222-22-2-2-2-22-22-2-222-2-22222-2-222-222-222-2-2-2-200000000-2-222-2-2220000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ4422-2-2222-22-2-2-2-22-22-2-222-2-22222-2-222-222-222-2-2-2-200000000-2-222-2-222000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ4522-2-2-2-22-2-22-22222-222-2-2-2-22222-2-2-2-2222-2-2-222-220000000022-2-2-2-22200000000000000000000000000000000000000002-22-222-2-20000000000000000
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χ4822-2-2-2-22-2-22-22222-2-2-22222-2-222-2-2-2-2222-2-2-222-2200000000-2-22222-2-20000000000000000000000000000000000000000-22-2222-2-20000000000000000
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χ5022-2-2-2-2-22222-22-2-220000000022-2-2-2-22-2-2222-222-222-2-200000000000022-2-222-2-200000000000000000000000000000000-222-20000-2-222000000000000
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χ532-22-22-2222-2-222-2-2-2000000002-22-22-222-222-2-2-2-2200002i−2i2i−2i00000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000002-22-22i−2i2i−2i000000000000
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χ572-22-22-2-2-2-2-22-222222-22-22-22-22-22-22-22-22-2-222-22-22-22-22-2-222-22-22-22-22-22-22-22-22-22-2-22-22000000000000000000000000000000000000000000000000
χ582-22-22-2-2-2-2-22-222222-22-22-22-22-22-22-22-22-2-222-22-2-22-22-222-22-22-22-22-2-22-22-22-22-22-222-22-2000000000000000000000000000000000000000000000000
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χ622-22-22-2-2-2-2-22-222222-22-22-22-2-11-11-11-11-111-1-11-11-22-22-222-2-11-11-11-111-11-11-11-11-11-1-11-1100000000−33−33−33−333−33−33−33−3000000000000000000000000
χ632-22-22-2-2-2-2-22-22222-22-22-22-222-22-22-22-22-2-222-22-22-22-2-222-2-22-22-22-222-22-22-22-2-22-222-22-2000000000000000000000000000000000000000000000000
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χ852-2-22-222-2-2-2222-2-22000000002-2-22-2222-2-2-22-2-2222-2-220000000000002-2-222-2-220000000000000000000000000000000000002-2-2200002-22-200000000
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χ902-2-22-22-222-2-2-2222-22-2-22-222-22-2-22-222-2222-22-2-2-2000000002-2-22-222-2000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ912-2-22-22-222-2-2-2222-2-222-22-2-222-2-22-222-2222-22-2-2-200000000-222-22-2-220000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ922-2-22-22-222-2-2-2222-2-222-22-2-222-2-22-222-2222-22-2-2-200000000-222-22-2-22000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ93444444-4-4-44-4-44-4-4-400000000-2-2-2-2-2-2-2222222-22200004i4i−4i−4i0000000000000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000000000
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χ964444-4-4-4-44-4-44-4-44400000000-2-2-2-2222222-2-2-222-20000000000000000000000002323−23−23−23−232323000000000000000000000000000000000000000000000000
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χ10044-4-444-44-4-444-4-44-40000000044-4-444-4-4-44-4-44-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ10644-4-4-4-4-44444-44-4-4400000000-2-22222-222-2-2-22-2-22-4-44400000000000022-2-222-2-200000000000000000000000000000000000000000000000000000000
χ1074-44-44-4444-4-444-4-4-400000000-22-22-22-2-22-2-22222-200004i−4i4i−4i0000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ1084-44-44-4444-4-444-4-4-400000000-22-22-22-2-22-2-22222-20000−4i4i−4i4i00000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ1094-44-4-4444-44-4-4-4-444000000004-44-4-44-44-44-4444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1104-44-4-4444-44-4-4-4-44400000000-22-222-22-22-22-2-2-22200000000000000000000000023−23−232323−23−2323000000000000000000000000000000000000000000000000
χ1114-44-4-4444-44-4-4-4-44400000000-22-222-22-22-22-2-2-222000000000000000000000000−232323−23−232323−23000000000000000000000000000000000000000000000000
χ1124-4-444-44-4444-4-4-44-4000000004-4-444-4-44-4-44-4444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-444-44-4444-4-4-44-400000000-222-2-222-222-22-2-2-220000000000000000−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ1144-4-444-44-4444-4-4-44-400000000-222-2-222-222-22-2-2-2200000000000000002i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
χ1154-4-444-4-44-44-44-44-444-4-444-4-44-222-2-2222-2-22-22-22-200000000-222-2-222-20000000000000000000000000000000000000000000000000000000000000000
χ1164-4-444-4-44-44-44-44-44-444-4-444-4-222-2-2222-2-22-22-22-2000000002-2-222-2-220000000000000000000000000000000000000000000000000000000000000000
χ1174-4-44-444-4-4-4444-4-4400000000-222-22-2-2-2222-222-2-24-4-44000000000000-222-2-222-200000000000000000000000000000000000000000000000000000000
χ1184-4-44-444-4-4-4444-4-4400000000-222-22-2-2-2222-222-2-2-444-40000000000002-2-222-2-2200000000000000000000000000000000000000000000000000000000
χ1194-4-44-44-444-4-4-4444-44-4-44-444-4-222-22-2-22-2-2-22-222200000000-222-22-2-220000000000000000000000000000000000000000000000000000000000000000
χ1204-4-44-44-444-4-4-4444-4-444-44-4-44-222-22-2-22-2-2-22-2222000000002-2-22-222-20000000000000000000000000000000000000000000000000000000000000000

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