Finite Group Databasebeta

← Group #13168252

Character table — Group #13168252

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order12223334466666666633366666666612121212121212121212222244121212123666121212121212121224466666666666666661212121212121212121244121212126666121212121212444441212121212124412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1111111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111111111111111-1-11-111-1-1-11-11-1-1-111-1-1111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-11-1-11111-1-111111-1-1-1-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-11-111-1-1-1-11-11-1-1-1-111-1-1-111
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1111-111-111-1-111111-1-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111-111-1-11-111-111-1-111-1-11-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111111111-1-111-11-1-111-1-11-11-1-1-1-11111-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-111111-1-111-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-111-1-111111111-1-111-1-1-1-1-1-1111111-1-111-11-1-111-11-11-1-1-111-1-1-1-11-11
χ17222222-1222-1-122222-12-1-12-1-1-1-12-1-122222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1200222222-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1000000-1-1-1-10000000220000-1-1-1-100000
χ18222222-1222-1-122222-12-1-12-1-1-1-12-1-122222-1-1-1-1-1-12222-2-21111-1-1-1-122-1-1-1-1-1-1-200-2-22222-1-1-1-11111110000-2-21111000000-1-1-1-10000000-2-20000111100000
χ19222222-1222-1-122222-12-1-12-1-1-1-12-1-122222-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-122-1-1-1-1-1-120022-2-2-2-21111-1-1-1-1-1-1000022-1-1-1-100000011110000000-2-20000111100000
χ20222222-1222-1-122222-12-1-12-1-1-1-12-1-122222-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-122-1-1-1-1-1-1-200-2-2-2-2-2-211111111110000-2-2111100000011110000000220000-1-1-1-100000
χ21222222-1-2-22-1-122222-12-1-12-1-1-1-12-1-12-2-2-2-211111122-2-222-1-1-1-1-1-1-1-1-2-2111111-200-2-222-2-2-1-111111111000022-1-1-1-1000000-1-11100000002-20000-1-11100000
χ22222222-1-2-22-1-122222-12-1-12-1-1-1-12-1-12-2-2-2-211111122-2-2-2-21111-1-1-1-1-2-21111112002222-2-2-1-111-1-1-1-1-1-10000-2-21111000000-1-1110000000-22000011-1-100000
χ23222222-1-2-22-1-122222-12-1-12-1-1-1-12-1-12-2-2-2-2111111-2-22222-1-1-1-1-1-1-1-1-2-2111111-200-2-2-2-22211-1-1111111000022-1-1-1-100000011-1-10000000-22000011-1-100000
χ24222222-1-2-22-1-122222-12-1-12-1-1-1-12-1-12-2-2-2-2111111-2-222-2-21111-1-1-1-1-2-211111120022-2-22211-1-1-1-1-1-1-1-10000-2-2111100000011-1-100000002-20000-1-11100000
χ2522222-1222222-12-1-122-12-1-122-1-1-1-12-1-1-1222222222222000000-1-1-1-1-1-1-1-1-1-1-1-102200-1-1-1-12222000000-1-1-1-100000022-1-1-1-1-1-1-1-122-1-1-1-120000-1-1000000000
χ2622222-1222222-12-1-122-12-1-122-1-1-1-12-1-1-1222222222222000000-1-1-1-1-1-1-1-1-1-1-1-10-2-200-1-1-1-122220000001111000000-2-21111-1-1-1-1-2-21111-2000011000000000
χ2722222-1222222-12-1-122-12-1-122-1-1-1-12-1-1-122222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1022001111-2-2-2-2000000-1-1-1-1000000-2-21111111122-1-1-1-1-2000011000000000
χ2822222-1222222-12-1-122-12-1-122-1-1-1-12-1-1-122222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-10-2-2001111-2-2-2-2000000111100000022-1-1-1-11111-2-2111120000-1-1000000000
χ2922222-12-2-2222-12-1-122-12-1-122-1-1-1-12-111-2-2-2-2-2-2-2-222-2-2000000-1-1-1-11111111102-200-1-11122-2-2000000-1-11100000022-1-1-1-1-1-1112-2-1-111-2000011000000000
χ3022222-12-2-2222-12-1-122-12-1-122-1-1-1-12-111-2-2-2-2-2-2-2-222-2-2000000-1-1-1-1111111110-2200-1-11122-2-200000011-1-1000000-2-21111-1-111-2211-1-120000-1-1000000000
χ3122222-12-2-2222-12-1-122-12-1-122-1-1-1-12-111-2-2-2-2-2-2-2-2-2-222000000-1-1-1-11111111102-20011-1-1-2-222000000-1-111000000-2-2111111-1-12-2-1-11120000-1-1000000000
χ3222222-12-2-2222-12-1-122-12-1-122-1-1-1-12-111-2-2-2-2-2-2-2-2-2-222000000-1-1-1-1111111110-220011-1-1-2-22200000011-1-100000022-1-1-1-111-1-1-2211-1-1-2000011000000000
χ332222-12222-1222-122-12-1-12-1-1-122-12-1-122-1-122-1-1-1-10000222222-1-1-1-1-1-122-1-1-1-1222-1-10000000022-1-1-1-12222-1-1-1-1-1-10000000000-1-1-1-1-1-10002200000000-1-10
χ342222-12222-1222-122-12-1-12-1-1-122-12-1-122-1-122-1-1-1-10000222222-1-1-1-1-1-122-1-1-1-12-2-2-1-10000000022-1-1-1-1-2-2-2-2-1-1-1-1-1-10000000000111111000-2-200000000110
χ352222-12222-1222-122-12-1-12-1-1-122-12-1-122-1-122-1-1-1-10000-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-2221100000000-2-2111122221111110000000000-1-1-1-1-1-1000-2-200000000110
χ362222-12222-1222-122-12-1-12-1-1-122-12-1-122-1-122-1-1-1-10000-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-2-2-21100000000-2-21111-2-2-2-211111100000000001111110002200000000-1-10
χ372222-122-2-2-1222-122-12-1-12-1-1-122-12-1-1-2-211-2-211110000222222-1-1-1-111-2-21111-22-21100000000-2-2111122-2-2-1-1-1-1-1-10000000000-11-1-1110002-200000000-110
χ382222-122-2-2-1222-122-12-1-12-1-1-122-12-1-1-2-211-2-211110000222222-1-1-1-111-2-21111-2-221100000000-2-21111-2-222-1-1-1-1-1-100000000001-111-1-1000-22000000001-10
χ392222-122-2-2-1222-122-12-1-12-1-1-122-12-1-1-2-211-2-211110000-2-2-2-2-2-2-1-1-1-111-2-2111122-2-1-10000000022-1-1-1-122-2-21111110000000000-11-1-111000-22000000001-10
χ402222-122-2-2-1222-122-12-1-12-1-1-122-12-1-1-2-211-2-211110000-2-2-2-2-2-2-1-1-1-111-2-211112-22-1-10000000022-1-1-1-1-2-22211111100000000001-111-1-10002-200000000-110
χ412-22-222200-22-2-22-22-2-2222-22-22-2-2-2-22000000000000002i−2i2i2i−2i−2i22-2-200000000000000000000000000000002i−2i2i2i−2i−2i2-222-2-20000000000000000000002i−2i000
χ422-22-222200-22-2-22-22-2-2222-22-22-2-2-2-22000000000000002i−2i2i2i−2i−2i22-2-200000000000000000000000000000002i−2i2i2i−2i−2i-22-2-222000000000000000000000−2i2i000
χ432-22-222200-22-2-22-22-2-2222-22-22-2-2-2-2200000000000000−2i2i−2i−2i2i2i22-2-20000000000000000000000000000000−2i2i−2i−2i2i2i2-222-2-2000000000000000000000−2i2i000
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χ452-2-222222-2-2-2-22-2-2-222222-2-2-2-2-2222-22-22-22-222-2-22-22-20000002-2-222-22-222-2-2000002-22-22-22-200000000000000000000002-22-20000000000000000000000
χ462-2-222222-2-2-2-22-2-2-222222-2-2-2-2-2222-22-22-22-222-2-2-22-220000002-2-222-22-222-2-200000-22-22-22-220000000000000000000000-22-220000000000000000000000
χ472-2-22222-22-2-2-22-2-2-222222-2-2-2-2-2222-2-22-22-22-2-2222-2-220000002-2-22-22-22-2-222000002-2-222-2-2200000000000000000000002-2-220000000000000000000000
χ482-2-22222-22-2-2-22-2-2-222222-2-2-2-2-2222-2-22-22-22-2-222-222-20000002-2-22-22-22-2-22200000-222-2-222-20000000000000000000000-222-20000000000000000000000
χ492-2-2222-12-2-2112-2-2-22-12-1-1-211112-1-1-22-22-2-11-1-1112-22-200−i3i3−i3i3-111-12-2-11-1-111000002-22-2-11-11−i3i3−i3−i3i3i3000000−i3i3−i3i3000000-11-110000000000000−i3i3−i3i300000
χ502-2-2222-12-2-2112-2-2-22-12-1-1-211112-1-1-22-22-2-11-1-1112-22-200i3−i3i3−i3-111-12-2-11-1-111000002-22-2-11-11i3−i3i3i3−i3−i3000000i3−i3i3−i3000000-11-110000000000000i3−i3i3−i300000
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χ522-2-2222-12-2-2112-2-2-22-12-1-1-211112-1-1-22-22-2-11-1-111-22-2200i3−i3i3−i3-111-12-2-11-1-11100000-22-221-11-1i3−i3i3i3−i3−i3000000i3−i3i3−i30000001-11-10000000000000−i3i3−i3i300000
χ532-2-2222-1-22-2112-2-2-22-12-1-1-211112-1-1-2-22-221-111-1-12-2-2200−i3i3−i3i3-111-1-221-111-1-1000002-2-22-111-1i3−i3i3i3−i3−i3000000−i3i3−i3i3000000-111-10000000000000−i3i3i3−i300000
χ542-2-2222-1-22-2112-2-2-22-12-1-1-211112-1-1-2-22-221-111-1-12-2-2200i3−i3i3−i3-111-1-221-111-1-1000002-2-22-111-1−i3i3−i3−i3i3i3000000i3−i3i3−i3000000-111-10000000000000i3−i3−i3i300000
χ552-2-2222-1-22-2112-2-2-22-12-1-1-211112-1-1-2-22-221-111-1-1-222-200−i3i3−i3i3-111-1-221-111-1-100000-222-21-1-11i3−i3i3i3−i3−i3000000−i3i3−i3i30000001-1-110000000000000i3−i3−i3i300000
χ562-2-2222-1-22-2112-2-2-22-12-1-1-211112-1-1-2-22-221-111-1-1-222-200i3−i3i3−i3-111-1-221-111-1-100000-222-21-1-11−i3i3−i3−i3i3i3000000i3−i3i3−i30000001-1-110000000000000−i3i3i3−i300000
χ572-2-222-122-2-2-2-2-1-21122-12-11-2-211-1-121-112-22-222-2-22-22-2000000-111-1-11-11-1-11100000-11-112-22-20000003−33−3000000003−33−3-11-11003−33−3000003−3000000000
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χ632-2-222-12-22-2-2-2-1-21122-12-11-2-211-1-1211-1-22-22-2-222-222-2000000-111-11-11-111-1-1000001-1-11-222-20000003−3−3300000000−33−331-1-11003−3−33000003−3000000000
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χ6844444-2-2-4-44-2-2-24-2-24-2-2-21-2-2-211-21-2-222-4-4222222-4-444000000111122-1-1-1-1-1-10000022-2-222-2-20000000000000000000000-1-1110000000000000000000000
χ694444-24-244-2-2-24-244-2-2-21-2-211-2-2-2-21-244-2-2-2-21111000044-2-2-2-21111-2-2-2-21111400-2-200000000-2-211110000-2-2111100000000000000000000000000000000
χ704444-24-244-2-2-24-244-2-2-21-2-211-2-2-2-21-244-2-2-2-211110000-4-422221111-2-2-2-21111-400220000000022-1-1-1-1000022-1-1-1-100000000000000000000000000000000
χ714444-24-2-4-4-2-2-24-244-2-2-21-2-211-2-2-2-21-2-4-42222-1-1-1-1000044-2-2-2-211112222-1-1-1-1-400220000000022-1-1-1-10000-2-2111100000000000000000000000000000000
χ724444-24-2-4-4-2-2-24-244-2-2-21-2-211-2-2-2-21-2-4-42222-1-1-1-10000-4-4222211112222-1-1-1-1400-2-200000000-2-21111000022-1-1-1-100000000000000000000000000000000
χ734444-2-2444-244-2-2-2-2-241-2-21-2-2-2-21-2-21-2-2-2-244-2-2-2-20000000000111111-2-211110440000000000000000-2-2-2-20000000000000000-2-211110000000000000000
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Here i is the imaginary unit (i² = −1).