Finite Group Databasebeta

← Group #13172671

Character table — Group #13172671

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666233366666666666666666222222666636666666666664446666666666666666661212121244446612121212121212121212222466121212122266124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111111111111111111111-1-111-1-111-1-11-111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111-111-1-1111111-1-111111111-1-111-1-1-1-1-1-111-11-1-11111-11-11-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-1-1-1111111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111-1-11
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111111111-1-11-1-1-1-1-111-1-11-1-1-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11-111-1-1-1-1-11-11-1-1-1-1-1-111-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11-1-111111-1-1-11111-1-111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-11111111-1-1-1-1-1111-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-11-11111-1-1-1-1-1-11-111
χ101111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-11111111-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-11-1-1-1-1-1-11111-1-111-1-11111-11-1-1
χ111111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11-1111111-1-1-1-1-11-1-1111111-1-11-1
χ121111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1111-1-1-1-11-11-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-111-111-1-111-111-1-1-111-1-1-1-111-11
χ131111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-111-1-1111111-1-1-1-11111-1-1-1-111-1-1111-1-11-1-111-1-1-111-1-1-111-1-11111-1-1
χ141111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-1111-1-1111111-1-1-1-11111-1-111111111-11-1-1-1-1-1-111-1-1-11-1-11111-1-1-1-111
χ151111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11-1111111-1-111-1-111-1-111-1-1-11-11
χ161111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-111-111-1-1111-11111-1-1-1-1111-11-1
χ17222222-12-1-122222-122-1-122-1-12-1-1-1-1-1-1-1-1-122-1222222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1200222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200-1-10020-1-100002000-1-1-1-100000000
χ18222222-12-1-122222-122-1-122-1-12-1-1-1-1-1-1-1-1-122-12222-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-200-2-22222-1-111-1-1-1-1-1-1-1-11100-2-2001100-20110000-2000111100000000
χ19222222-12-1-122222-122-1-122-1-12-1-1-1-1-1-1-1-1-122-1-2-2-2-2221111-1222-1-1-1-1-1-1-1-1-120022-2-2-2-211-1-111111111-1-100-2-200-1-10020-1-10000-2000111100000000
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χ21222222-12-1-122222-1-22-1-1-2-2112-1-1-1-1-1111122-122-2-222-1-1-1-1-1-2-2-211-1-1-11111-2002222-2-211-1-1-1-1-1-111111100-2-200-1-100-201100002000-1-11100000000
χ22222222-12-1-122222-1-22-1-1-2-2112-1-1-1-1-1111122-122-2-2-2-2-1-1-1-1-1-2-2-211-1-1-11111200-2-222-2-21111-1-1-1-11111-1-1002200110020-1-10000-200011-1-100000000
χ23222222-12-1-122222-1-22-1-1-2-2112-1-1-1-1-1111122-1-2-222221111-1-2-2-211-1-1-11111-20022-2-222-1-1-1-11111-1-1-1-111002200-1-100-20110000-200011-1-100000000
χ24222222-12-1-122222-1-22-1-1-2-2112-1-1-1-1-1111122-1-2-222-2-21111-1-2-2-211-1-1-11111200-2-2-2-222-1-1111111-1-1-1-1-1-100-2-200110020-1-100002000-1-11100000000
χ2522222-12222-1-12-1222-12-1-1-122-122-1-1-1-1-1-1-1-1-122222002222-12-1-122-1-1-1-1-1-1-102200-1-1-1-12200-1-1-1-1-1-1-1-10022000000-1-10200-1-1-1-10202000000000-1-10
χ2622222-12222-1-12-1222-12-1-1-122-122-1-1-1-1-1-1-1-1-122222002222-12-1-122-1-1-1-1-1-1-10-2-200-1-1-1-12200-1-1-1-1-1-1-1-100-2-2000000110-20011110-20-2000000000110
χ2722222-12222-1-12-1222-12-1-1-122-122-1-1-1-1-1-1-1-1-12-2-2-2-200-2-2-2-2-12-1-122-1-1-1-1-1-1-1022001111-2-200111111110022000000-1-10200-1-1-1-10-20-2000000000110
χ2822222-12222-1-12-1222-12-1-1-122-122-1-1-1-1-1-1-1-1-12-2-2-2-200-2-2-2-2-12-1-122-1-1-1-1-1-1-10-2-2001111-2-2001111111100-2-2000000110-20011110202000000000-1-10
χ2922222-12222-1-12-122-2-12-111-2-2-122-1-1-11111-1-1222-2-2002222-1-211-2-2-1-1-1111102-200-1-111-2-200-1-1-1-1111100-2-2000000-110200-1-1110-2020000000001-10
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χ3222222-12222-1-12-122-2-12-111-2-2-122-1-1-11111-1-12-2-22200-2-2-2-2-1-211-2-2-1-1-111110-220011-1-122001111-1-1-1-100220000001-10-20011-1-10-2020000000001-10
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χ362222-122-12222-12-122-1-122222-1-1-12222222-1-1-10000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211000000-2-200000000-2-211002211-2-21111111100200000-1-100-1000
χ372222-122-12222-12-12-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-10000220000-111111-1-1-11111-22-2-1-10000002200000000-2-21100-2-2-1-12-21-111-1-111002000001100-1000
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χ392222-122-12222-12-12-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-10000-2-20000-111111-1-1-1111122-211000000-2-20000000022110022112-2-1-1-1-1-1-11100-200000-1-1001000
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χ452-22-222-1-2112-22-2-2-102-1-100−i3i3-211-111−i3−i3i3i32-2-1002-22-2−i3−i3i3i3-1000−i3i3-111−i3−i3i3i30002-2002-2-11-11−i3−i3i3i3-1-111−i3i3002-200-110000−i3i300000000−i3i3-1100000000
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χ482-22-222-1-2112-22-2-2-102-1-100−i3i3-211-111−i3−i3i3i32-2-100-22-22i3i3−i3−i3-1000−i3i3-111−i3−i3i3i3000-2200-221-11-1i3i3−i3−i311-1-1i3−i3002-2001-10000i3−i300000000−i3i3-1100000000
χ492-22-222-1-2112-22-2-2-102-1-100i3−i3-211-111i3i3−i3−i32-2-1002-22-2i3i3−i3−i3-1000i3−i3-111i3i3−i3−i30002-2002-2-11-11i3i3−i3−i3-1-111i3−i3002-200-110000i3−i300000000i3−i3-1100000000
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Here i is the imaginary unit (i² = −1).