Finite Group Databasebeta

← Group #13168067

Character table — Group #13168067

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222224444444444441212121212121212121212121818181822224444444444888888888888242424242424242424242424363636363333666666666612121212121212121212121236363636363636363636363654545454
order12223344666666366612121212121212122244666612121212444436663312126666663666121212121212121266121266661212121212121212222266446666666666121212121212121222446666121212124444
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
χ922222-12222-1-1-12-1-1-1-1-1-122-1-1-1-12200-1-1-1-10000000022222-12222-1-1-12-1-1-1-1-1-122-1-1-1-12200-1-1-1-10000000022222-12222-1-1-12-1-1-1-1-1-122-1-1-1-12200-1-1-1-100000000
χ1022222-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-2-20011110000000022222-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-2-20011110000000022222-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-2-200111100000000
χ1122222-1-2-222-1-1-12-1-1-1-111-2-211112-200-1-1110000000022222-1-2-222-1-1-12-1-1-1-111-2-211112-200-1-1110000000022222-1-2-222-1-1-12-1-1-1-111-2-211112-200-1-11100000000
χ1222222-1-2-222-1-1-12-1-1-1-111-2-21111-220011-1-10000000022222-1-2-222-1-1-12-1-1-1-111-2-21111-220011-1-10000000022222-1-2-222-1-1-12-1-1-1-111-2-21111-220011-1-100000000
χ132222-1222-1-1222-1-1-1-1-122-1-1-1-1-1-100220000-1-1-1-100002222-1222-1-1222-1-1-1-1-122-1-1-1-1-1-100220000-1-1-1-100002222-1222-1-1222-1-1-1-1-122-1-1-1-1-1-100220000-1-1-1-10000
χ142222-1222-1-1222-1-1-1-1-122-1-1-1-1-1-100-2-20000111100002222-1222-1-1222-1-1-1-1-122-1-1-1-1-1-100-2-20000111100002222-1222-1-1222-1-1-1-1-122-1-1-1-1-1-100-2-2000011110000
χ152222-12-2-2-1-1222-1-1-1-1-1-2-2111111002-20000-1-11100002222-12-2-2-1-1222-1-1-1-1-1-2-2111111002-20000-1-11100002222-12-2-2-1-1222-1-1-1-1-1-2-2111111002-20000-1-1110000
χ162222-12-2-2-1-1222-1-1-1-1-1-2-211111100-22000011-1-100002222-12-2-2-1-1222-1-1-1-1-1-2-211111100-22000011-1-100002222-12-2-2-1-1222-1-1-1-1-1-2-211111100-22000011-1-10000
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χ2422-2-2-122-211-2-22-1-111-12-2-11-1-11100000000i3−i3i3−i3000022-2-2-122-211-2-22-1-111-12-2-11-1-11100000000i3−i3i3−i3000022-2-2-122-211-2-22-1-111-12-2-11-1-11100000000i3−i3i3−i30000
χ2522-2-2-12-2211-2-22-1-111-1-221-111-1-100000000−i3i3i3−i3000022-2-2-12-2211-2-22-1-111-1-221-111-1-100000000−i3i3i3−i3000022-2-2-12-2211-2-22-1-111-1-221-111-1-100000000−i3i3i3−i30000
χ2622-2-2-12-2211-2-22-1-111-1-221-111-1-100000000i3−i3−i3i3000022-2-2-12-2211-2-22-1-111-1-221-111-1-100000000i3−i3−i3i3000022-2-2-12-2211-2-22-1-111-1-221-111-1-100000000i3−i3−i3i30000
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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
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χ384-44-4-2-200-22-222211-1-10000−3i3i−3i3i00000000000000004-44-4-2-200-22-222211-1-10000−3i3i−3i3i00000000000000004-44-4-2-200-22-222211-1-10000−3i3i−3i3i0000000000000000
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χ424-4-44-2-2002-22-2221-11-10000−3i3i3i−3i00000000000000004-4-44-2-2002-22-2221-11-10000−3i3i3i−3i00000000000000004-4-44-2-2002-22-2221-11-10000−3i3i3i−3i0000000000000000
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
χ5122222-12222-1-1-12-1-1-1-1-1-122-1-1-1-12200-1-1-1-10000000022222-12222-1-1-12-1-1-1-1-1-122-1-1-1-12200-1-1-1-100000000-2-2-2-2-21-2-2-2-2111-2111111-2-21111-2-200111100000000
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χ5422222-1-2-222-1-1-12-1-1-1-111-2-21111-220011-1-10000000022222-1-2-222-1-1-12-1-1-1-111-2-21111-220011-1-100000000-2-2-2-2-2122-2-2111-21111-1-122-1-1-1-12-200-1-11100000000
χ552222-1222-1-1222-1-1-1-1-122-1-1-1-1-1-100220000-1-1-1-100002222-1222-1-1222-1-1-1-1-122-1-1-1-1-1-100220000-1-1-1-10000-2-2-2-21-2-2-211-2-2-211111-2-211111100-2-2000011110000
χ562222-1222-1-1222-1-1-1-1-122-1-1-1-1-1-100-2-20000111100002222-1222-1-1222-1-1-1-1-122-1-1-1-1-1-100-2-2000011110000-2-2-2-21-2-2-211-2-2-211111-2-211111100220000-1-1-1-10000
χ572222-12-2-2-1-1222-1-1-1-1-1-2-2111111002-20000-1-11100002222-12-2-2-1-1222-1-1-1-1-1-2-2111111002-20000-1-1110000-2-2-2-21-22211-2-2-21111122-1-1-1-1-1-100-22000011-1-10000
χ582222-12-2-2-1-1222-1-1-1-1-1-2-211111100-22000011-1-100002222-12-2-2-1-1222-1-1-1-1-1-2-211111100-22000011-1-10000-2-2-2-21-22211-2-2-21111122-1-1-1-1-1-1002-20000-1-1110000
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χ7544-4-4-2-24-42222-2-21-1-11-22-2211-1-1000000000000000044-4-4-2-24-42222-2-21-1-11-22-2211-1-10000000000000000-4-44422-44-2-2-2-222-111-12-22-2-1-1110000000000000000
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χ784-44-4-2400-224-4-42-2-2220000000000000000000000004-44-4-2400-224-4-42-2-222000000000000000000000000-44-442-4002-2-444-222-2-2000000000000000000000000
χ794-44-4-2-200-22-222211-1-100003i−3i3i−3i00000000000000004-44-4-2-200-22-222211-1-100003i−3i3i−3i0000000000000000-44-4422002-22-2-2-2-1-1110000−3i3i−3i3i0000000000000000
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χ814-4-444-200-442-22-4-22-220000000000000000000000004-4-444-200-442-22-4-22-22000000000000000000000000-444-4-42004-4-22-242-22-2000000000000000000000000
χ824-4-44-24002-2-44-42-22-220000000000000000000000004-4-44-24002-2-44-42-22-22000000000000000000000000-444-42-400-224-44-22-22-2000000000000000000000000
χ834-4-44-2-2002-22-2221-11-100003i−3i−3i3i00000000000000004-4-44-2-2002-22-2221-11-100003i−3i−3i3i0000000000000000-444-42200-22-22-2-2-11-110000−3i3i3i−3i0000000000000000
χ844-4-44-2-2002-22-2221-11-10000−3i3i3i−3i00000000000000004-4-44-2-2002-22-2221-11-10000−3i3i3i−3i0000000000000000-444-42200-22-22-2-2-11-1100003i−3i−3i3i0000000000000000
χ85222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ862222222222222222222222222222-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111000000000000000000000000000000000000000000
χ8722222222222222222222222222-2-222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111000000000000000000000000000000000000000000
χ8822222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1000000000000000000000000000000000000000000
χ89222222-2-22222222222-2-2-2-2-2-2-2-22-22-222-2-222-2-222-2-2-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-111-1-111000000000000000000000000000000000000000000
χ90222222-2-22222222222-2-2-2-2-2-2-2-22-2-2222-2-2-2-222-2-222-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-111-1-1000000000000000000000000000000000000000000
χ91222222-2-22222222222-2-2-2-2-2-2-2-2-222-2-2-22222-2-2-2-222-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-11111-1-1000000000000000000000000000000000000000000
χ92222222-2-22222222222-2-2-2-2-2-2-2-2-22-22-2-222-2-22222-2-2-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-111000000000000000000000000000000000000000000
χ9344444-24444-2-2-24-2-2-2-2-2-244-2-2-2-24400-2-2-2-200000000-2-2-2-2-21-2-2-2-2111-2111111-2-21111-2-200111100000000000000000000000000000000000000000000000000
χ9444444-24444-2-2-24-2-2-2-2-2-244-2-2-2-2-4-400222200000000-2-2-2-2-21-2-2-2-2111-2111111-2-211112200-1-1-1-100000000000000000000000000000000000000000000000000
χ9544444-2-4-444-2-2-24-2-2-2-222-4-422224-400-2-22200000000-2-2-2-2-2122-2-2111-21111-1-122-1-1-1-1-220011-1-100000000000000000000000000000000000000000000000000
χ9644444-2-4-444-2-2-24-2-2-2-222-4-42222-440022-2-200000000-2-2-2-2-2122-2-2111-21111-1-122-1-1-1-12-200-1-11100000000000000000000000000000000000000000000000000
χ974444-2444-2-2444-2-2-2-2-244-2-2-2-2-2-200440000-2-2-2-20000-2-2-2-21-2-2-211-2-2-211111-2-211111100-2-2000011110000000000000000000000000000000000000000000000
χ984444-2444-2-2444-2-2-2-2-244-2-2-2-2-2-200-4-4000022220000-2-2-2-21-2-2-211-2-2-211111-2-211111100220000-1-1-1-10000000000000000000000000000000000000000000000
χ994444-24-4-4-2-2444-2-2-2-2-2-4-4222222004-40000-2-2220000-2-2-2-21-22211-2-2-21111122-1-1-1-1-1-100-22000011-1-10000000000000000000000000000000000000000000000
χ1004444-24-4-4-2-2444-2-2-2-2-2-4-422222200-44000022-2-20000-2-2-2-21-22211-2-2-21111122-1-1-1-1-1-1002-20000-1-1110000000000000000000000000000000000000000000000
χ10144-4-4444-4-4-4-4-4444-4-444-44-444-4-40000000000000000-2-222-2-2-222222-2-2-222-2-22-22-2-2220000000000000000000000000000000000000000000000000000000000
χ10244-4-444-44-4-4-4-4444-4-44-44-44-4-4440000000000000000-2-222-2-22-22222-2-2-222-22-22-222-2-20000000000000000000000000000000000000000000000000000000000
χ10344-4-44-24-4-4-422-24-222-2-224-4-2-2220000−2i32i3−2i32i300000000-2-222-21-2222-1-11-21-1-111-1-2211-1-10000i3−i3i3−i300000000000000000000000000000000000000000000000000
χ10444-4-44-24-4-4-422-24-222-2-224-4-2-22200002i3−2i32i3−2i300000000-2-222-21-2222-1-11-21-1-111-1-2211-1-10000−i3i3−i3i300000000000000000000000000000000000000000000000000
χ10544-4-44-2-44-4-422-24-222-22-2-4422-2-20000−2i32i32i3−2i300000000-2-222-212-222-1-11-21-1-11-112-2-1-1110000i3−i3−i3i300000000000000000000000000000000000000000000000000
χ10644-4-44-2-44-4-422-24-222-22-2-4422-2-200002i3−2i3−2i32i300000000-2-222-212-222-1-11-21-1-11-112-2-1-1110000−i3i3i3−i300000000000000000000000000000000000000000000000000
χ10744-4-4-244-422-4-44-2-222-24-4-22-2-22200000000−2i32i3−2i32i30000-2-2221-2-22-1-122-211-1-11-221-111-1-100000000i3−i3i3−i30000000000000000000000000000000000000000000000
χ10844-4-4-244-422-4-44-2-222-24-4-22-2-222000000002i3−2i32i3−2i30000-2-2221-2-22-1-122-211-1-11-221-111-1-100000000−i3i3−i3i30000000000000000000000000000000000000000000000
χ10944-4-4-24-4422-4-44-2-222-2-442-222-2-200000000−2i32i32i3−2i30000-2-2221-22-2-1-122-211-1-112-2-11-1-11100000000i3−i3−i3i30000000000000000000000000000000000000000000000
χ11044-4-4-24-4422-4-44-2-222-2-442-222-2-2000000002i3−2i3−2i32i30000-2-2221-22-2-1-122-211-1-112-2-11-1-11100000000−i3i3i3−i30000000000000000000000000000000000000000000000
χ1114-44-444004-44-4-4-444-4-400000000000000000000004i−4i-22-22-2-200-22-2222-2-2220000000000000000000000−2i2i000000000000000000000000000000000000000000
χ1124-44-444004-44-4-4-444-4-40000000000000000000000−4i4i-22-22-2-200-22-2222-2-22200000000000000000000002i−2i000000000000000000000000000000000000000000
χ1134-4-444400-44-44-4-44-44-4000000000000000000004i−4i00-222-2-2-2002-22-222-22-2200000000000000000000−2i2i00000000000000000000000000000000000000000000
χ1144-4-444400-44-44-4-44-44-400000000000000000000−4i4i00-222-2-2-2002-22-222-22-22000000000000000000002i−2i00000000000000000000000000000000000000000000
χ1158888-4-488-4-4-4-4-4-42222-4-4-4-422220000000000000000-4-4-4-422-4-4222222-1-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ1168888-4-4-8-8-4-4-4-4-4-422224444-2-2-2-20000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000000000
χ11788-8-8-4-48-84444-4-42-2-22-44-4422-2-20000000000000000-4-44422-44-2-2-2-222-111-12-22-2-1-1110000000000000000000000000000000000000000000000000000000000
χ11888-8-8-4-4-884444-4-42-2-224-44-4-2-2220000000000000000-4-444224-4-2-2-2-222-111-1-22-2211-1-10000000000000000000000000000000000000000000000000000000000
χ1198-88-88-4008-8-444-8-4-444000000000000000000000000-44-44-4200-442-2-2422-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-4800-448-8-84-4-444000000000000000000000000-44-442-4002-2-444-222-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-4-400-44-444422-2-200006i−6i6i−6i0000000000000000-44-4422002-22-2-2-2-1-1110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000
χ1228-88-8-4-400-44-444422-2-20000−6i6i−6i6i0000000000000000-44-4422002-22-2-2-2-1-11100003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000
χ1238-8-888-400-884-44-8-44-44000000000000000000000000-444-4-42004-4-22-242-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1248-8-88-48004-4-88-84-44-44000000000000000000000000-444-42-400-224-44-22-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-4-4004-44-4442-22-200006i−6i−6i6i0000000000000000-444-42200-22-22-2-2-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4004-44-4442-22-20000−6i6i6i−6i0000000000000000-444-42200-22-22-2-2-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000000000

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