Finite Group Databasebeta

← Group #13168275

Character table — Group #13168275

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222224444444444441212121212121212121212121818181822224444444444888888888888242424242424242424242424363636363333666666666612121212121212121212121236363636363636363636363654545454
order1222334466666636661212121212121212444412121212121212124444366633121266666636661212121212121212121212121212121212121212121212122222664466666666661212121212121212444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-11111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1111111-1-11111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1111111-1-11111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1
χ6111111-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-111111111-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-111111111-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-111
χ7111111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111
χ8111111-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1
χ922222-12222-1-12-1-1-1-1-122-1-1-1-1-1-100220000-1-1-1-1000022222-12222-1-12-1-1-1-1-122-1-1-1-1-1-100220000-1-1-1-1000022222-12222-1-12-1-1-1-1-122-1-1-1-1-1-100220000-1-1-1-10000
χ1022222-12222-1-12-1-1-1-1-122-1-1-1-1-1-100-2-200001111000022222-12222-1-12-1-1-1-1-122-1-1-1-1-1-100-2-200001111000022222-12222-1-12-1-1-1-1-122-1-1-1-1-1-100-2-2000011110000
χ1122222-1-2-222-1-12-1-1-1-1-1-2-2111111002-20000-1-111000022222-1-2-222-1-12-1-1-1-1-1-2-2111111002-20000-1-111000022222-1-2-222-1-12-1-1-1-1-1-2-2111111002-20000-1-1110000
χ1222222-1-2-222-1-12-1-1-1-1-1-2-211111100-22000011-1-1000022222-1-2-222-1-12-1-1-1-1-1-2-211111100-22000011-1-1000022222-1-2-222-1-12-1-1-1-1-1-2-211111100-22000011-1-10000
χ132222-1222-1-122-12-1-1-1-1-1-122-1-1-1-12200-1-1-1-1000000002222-1222-1-122-12-1-1-1-1-1-122-1-1-1-12200-1-1-1-1000000002222-1222-1-122-12-1-1-1-1-1-122-1-1-1-12200-1-1-1-100000000
χ142222-1222-1-122-12-1-1-1-1-1-122-1-1-1-1-2-2001111000000002222-1222-1-122-12-1-1-1-1-1-122-1-1-1-1-2-2001111000000002222-1222-1-122-12-1-1-1-1-1-122-1-1-1-1-2-200111100000000
χ152222-12-2-2-1-122-12-1-1-1-111-2-211112-200-1-111000000002222-12-2-2-1-122-12-1-1-1-111-2-211112-200-1-111000000002222-12-2-2-1-122-12-1-1-1-111-2-211112-200-1-11100000000
χ162222-12-2-2-1-122-12-1-1-1-111-2-21111-220011-1-1000000002222-12-2-2-1-122-12-1-1-1-111-2-21111-220011-1-1000000002222-12-2-2-1-122-12-1-1-1-111-2-21111-220011-1-100000000
χ1722-2-222002-22-2-2-222-2-200000000000000000000002-222-2-222002-22-2-2-222-2-200000000000000000000002-222-2-222002-22-2-2-222-2-200000000000000000000002-2
χ1822-2-222002-22-2-2-222-2-20000000000000000000000-2222-2-222002-22-2-2-222-2-20000000000000000000000-2222-2-222002-22-2-2-222-2-20000000000000000000000-22
χ192-22-22200-22-22-2-22-22-2000000000000000000002-2002-22-22200-22-22-2-22-22-2000000000000000000002-2002-22-22200-22-22-2-22-22-2000000000000000000002-200
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χ222-2-2222-22-2-2-2-2222-2-22-22-22-2-22200000000000000002-2-2222-22-2-2-2-2222-2-22-22-22-2-22200000000000000002-2-2222-22-2-2-2-2222-2-22-22-22-2-2220000000000000000
χ232-2-222-12-2-2-2112-1-111-12-2-11-1-11100000000−i3i3−i3i300002-2-222-12-2-2-2112-1-111-12-2-11-1-11100000000−i3i3−i3i300002-2-222-12-2-2-2112-1-111-12-2-11-1-11100000000−i3i3−i3i30000
χ242-2-222-12-2-2-2112-1-111-12-2-11-1-11100000000i3−i3i3−i300002-2-222-12-2-2-2112-1-111-12-2-11-1-11100000000i3−i3i3−i300002-2-222-12-2-2-2112-1-111-12-2-11-1-11100000000i3−i3i3−i30000
χ252-2-222-1-22-2-2112-1-111-1-221-111-1-100000000−i3i3i3−i300002-2-222-1-22-2-2112-1-111-1-221-111-1-100000000−i3i3i3−i300002-2-222-1-22-2-2112-1-111-1-221-111-1-100000000−i3i3i3−i30000
χ262-2-222-1-22-2-2112-1-111-1-221-111-1-100000000i3−i3−i3i300002-2-222-1-22-2-2112-1-111-1-221-111-1-100000000i3−i3−i3i300002-2-222-1-22-2-2112-1-111-1-221-111-1-100000000i3−i3−i3i30000
χ272-2-22-122-211-2-2-12-111-1-112-2-1-1110000−i3i3−i3i3000000002-2-22-122-211-2-2-12-111-1-112-2-1-1110000−i3i3−i3i3000000002-2-22-122-211-2-2-12-111-1-112-2-1-1110000−i3i3−i3i300000000
χ282-2-22-122-211-2-2-12-111-1-112-2-1-1110000i3−i3i3−i3000000002-2-22-122-211-2-2-12-111-1-112-2-1-1110000i3−i3i3−i3000000002-2-22-122-211-2-2-12-111-1-112-2-1-1110000i3−i3i3−i300000000
χ292-2-22-12-2211-2-2-12-111-11-1-2211-1-10000−i3i3i3−i3000000002-2-22-12-2211-2-2-12-111-11-1-2211-1-10000−i3i3i3−i3000000002-2-22-12-2211-2-2-12-111-11-1-2211-1-10000−i3i3i3−i300000000
χ302-2-22-12-2211-2-2-12-111-11-1-2211-1-10000i3−i3−i3i3000000002-2-22-12-2211-2-2-12-111-11-1-2211-1-10000i3−i3−i3i3000000002-2-22-12-2211-2-2-12-111-11-1-2211-1-10000i3−i3−i3i300000000
χ314444-2-244-2-2-2-2-2-21111-2-2-2-2111100000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-2111100000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-211110000000000000000
χ324444-2-2-4-4-2-2-2-2-2-211112222-1-1-1-100000000000000004444-2-2-4-4-2-2-2-2-2-211112222-1-1-1-100000000000000004444-2-2-4-4-2-2-2-2-2-211112222-1-1-1-10000000000000000
χ3344-4-44-2004-4-22-42-2-22200000000000000000000000044-4-44-2004-4-22-42-2-22200000000000000000000000044-4-44-2004-4-22-42-2-222000000000000000000000000
χ3444-4-4-2400-224-42-4-2-22200000000000000000000000044-4-4-2400-224-42-4-2-22200000000000000000000000044-4-4-2400-224-42-4-2-222000000000000000000000000
χ3544-4-4-2-200-22-222211-1-100003i−3i3i−3i000000000000000044-4-4-2-200-22-222211-1-100003i−3i3i−3i000000000000000044-4-4-2-200-22-222211-1-100003i−3i3i−3i0000000000000000
χ3644-4-4-2-200-22-222211-1-10000−3i3i−3i3i000000000000000044-4-4-2-200-22-222211-1-10000−3i3i−3i3i000000000000000044-4-4-2-200-22-222211-1-10000−3i3i−3i3i0000000000000000
χ374-44-44-200-442-2-42-22-220000000000000000000000004-44-44-200-442-2-42-22-220000000000000000000000004-44-44-200-442-2-42-22-22000000000000000000000000
χ384-44-4-24002-2-442-4-22-220000000000000000000000004-44-4-24002-2-442-4-22-220000000000000000000000004-44-4-24002-2-442-4-22-22000000000000000000000000
χ394-44-4-2-2002-22-2221-11-100003i−3i−3i3i00000000000000004-44-4-2-2002-22-2221-11-100003i−3i−3i3i00000000000000004-44-4-2-2002-22-2221-11-100003i−3i−3i3i0000000000000000
χ404-44-4-2-2002-22-2221-11-10000−3i3i3i−3i00000000000000004-44-4-2-2002-22-2221-11-10000−3i3i3i−3i00000000000000004-44-4-2-2002-22-2221-11-10000−3i3i3i−3i0000000000000000
χ414-4-44-2-24-42222-2-21-1-11-22-2211-1-100000000000000004-4-44-2-24-42222-2-21-1-11-22-2211-1-100000000000000004-4-44-2-24-42222-2-21-1-11-22-2211-1-10000000000000000
χ424-4-44-2-2-442222-2-21-1-112-22-2-1-11100000000000000004-4-44-2-2-442222-2-21-1-112-22-2-1-11100000000000000004-4-44-2-2-442222-2-21-1-112-22-2-1-1110000000000000000
χ43111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ4511111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111
χ4611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ47111111-1-11111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1111111-1-11111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-111-1-111
χ48111111-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-111111111-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-111-1-1
χ49111111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-11111-1-1
χ50111111-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-111
χ5122222-12222-1-12-1-1-1-1-122-1-1-1-1-1-100220000-1-1-1-1000022222-12222-1-12-1-1-1-1-122-1-1-1-1-1-100220000-1-1-1-10000-2-2-2-2-21-2-2-2-211-211111-2-211111100-2-2000011110000
χ5222222-12222-1-12-1-1-1-1-122-1-1-1-1-1-100-2-200001111000022222-12222-1-12-1-1-1-1-122-1-1-1-1-1-100-2-2000011110000-2-2-2-2-21-2-2-2-211-211111-2-211111100220000-1-1-1-10000
χ5322222-1-2-222-1-12-1-1-1-1-1-2-2111111002-20000-1-111000022222-1-2-222-1-12-1-1-1-1-1-2-2111111002-20000-1-1110000-2-2-2-2-2122-2-211-21111122-1-1-1-1-1-100-22000011-1-10000
χ5422222-1-2-222-1-12-1-1-1-1-1-2-211111100-22000011-1-1000022222-1-2-222-1-12-1-1-1-1-1-2-211111100-22000011-1-10000-2-2-2-2-2122-2-211-21111122-1-1-1-1-1-1002-20000-1-1110000
χ552222-1222-1-122-12-1-1-1-1-1-122-1-1-1-12200-1-1-1-1000000002222-1222-1-122-12-1-1-1-1-1-122-1-1-1-12200-1-1-1-100000000-2-2-2-21-2-2-211-2-21-2111111-2-21111-2-200111100000000
χ562222-1222-1-122-12-1-1-1-1-1-122-1-1-1-1-2-2001111000000002222-1222-1-122-12-1-1-1-1-1-122-1-1-1-1-2-200111100000000-2-2-2-21-2-2-211-2-21-2111111-2-211112200-1-1-1-100000000
χ572222-12-2-2-1-122-12-1-1-1-111-2-211112-200-1-111000000002222-12-2-2-1-122-12-1-1-1-111-2-211112-200-1-11100000000-2-2-2-21-22211-2-21-21111-1-122-1-1-1-1-220011-1-100000000
χ582222-12-2-2-1-122-12-1-1-1-111-2-21111-220011-1-1000000002222-12-2-2-1-122-12-1-1-1-111-2-21111-220011-1-100000000-2-2-2-21-22211-2-21-21111-1-122-1-1-1-12-200-1-11100000000
χ5922-2-222002-22-2-2-222-2-200000000000000000000002-222-2-222002-22-2-2-222-2-200000000000000000000002-2-2-222-2-200-22-2222-2-2220000000000000000000000-22
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χ662-2-222-12-2-2-2112-1-111-12-2-11-1-11100000000i3−i3i3−i300002-2-222-12-2-2-2112-1-111-12-2-11-1-11100000000i3−i3i3−i30000-222-2-21-2222-1-1-211-1-11-221-111-1-100000000−i3i3−i3i30000
χ672-2-222-1-22-2-2112-1-111-1-221-111-1-100000000−i3i3i3−i300002-2-222-1-22-2-2112-1-111-1-221-111-1-100000000−i3i3i3−i30000-222-2-212-222-1-1-211-1-112-2-11-1-11100000000i3−i3−i3i30000
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χ702-2-22-122-211-2-2-12-111-1-112-2-1-1110000i3−i3i3−i3000000002-2-22-122-211-2-2-12-111-1-112-2-1-1110000i3−i3i3−i300000000-222-21-2-22-1-1221-21-1-111-1-2211-1-10000−i3i3−i3i300000000
χ712-2-22-12-2211-2-2-12-111-11-1-2211-1-10000−i3i3i3−i3000000002-2-22-12-2211-2-2-12-111-11-1-2211-1-10000−i3i3i3−i300000000-222-21-22-2-1-1221-21-1-11-112-2-1-1110000i3−i3−i3i300000000
χ722-2-22-12-2211-2-2-12-111-11-1-2211-1-10000i3−i3−i3i3000000002-2-22-12-2211-2-2-12-111-11-1-2211-1-10000i3−i3−i3i300000000-222-21-22-2-1-1221-21-1-11-112-2-1-1110000−i3i3i3−i300000000
χ734444-2-244-2-2-2-2-2-21111-2-2-2-2111100000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-211110000000000000000-4-4-4-422-4-4222222-1-1-1-12222-1-1-1-10000000000000000
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Here i is the imaginary unit (i² = −1).