Finite Group Databasebeta

← Group #13169201

Character table — Group #13169201

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222244444444444444444466668888888888888812121212121212121212121212121212121212121818181818181818181818181818242424242424242424242424242424243636363636363636363636108108
order1222333446666666663336666666661212121212124444366612121212121212121212444412121212121212121212121212121212224444666612121212121212121212121212121212121212122446612121212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-11-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-11-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-111-1-111
χ5111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-111-1-111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-11-1-1-111-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-1111111111111111-11-111-1-111-1-111-1-1-1-1-1-1-1-1-111-1-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-111111-1-1111-1-111-1-1-1-1111-1111-1-1-1-111-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-111-1-111-11111-1-1-1-1-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-111-111-1-11111111-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-111-1-1111111-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111-1-11111-11111-1-1-1-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-111-1-1-111-1-11111-1-11-1111-1-1-1-1111-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-11111111111111111-11-11-1-111-1-111-1-111-1-1-1-1-1-1-111-1-1-11
χ17222222-12222-1-1222-122-1-122-1-1-1-1-12-122-1-1220000-1-1-1-1-1-122-1-1-1-1-1-12222000022220000222200002200000000-1-1-1-1-1-1-1-10000-1-1-1-1200-1-100-1-10000
χ18222222-12222-1-1222-122-1-122-1-1-1-1-12-122-1-1220000-1-1-1-1-1-122-1-1-1-1-1-122-2-2000022220000-2-2-2-20000-2-200000000-1-111-1-1-1-100001111-2001100110000
χ19222222-12222-1-1222-122-1-122-1-1-1-1-12-122-1-1220000-1-1-1-1-1-122-1-1-1-1-1-1-2-2220000-2-2-2-2000022220000-2-20000000011-1-111110000-1-1-1-1-2001100110000
χ20222222-12222-1-1222-122-1-122-1-1-1-1-12-122-1-1220000-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000-2-2-2-20000-2-2-2-2000022000000001111111100001111200-1-100-1-10000
χ21222222-1-2-222-1-1222-122-1-122-1-1-1-1-12-1-2-211-2-20000-1-1-1-111-2-21111112-22-2000022-2-2000022-2-200002200000000-11-11-1-1110000-1-111-2001100-1-10000
χ22222222-1-2-222-1-1222-122-1-122-1-1-1-1-12-1-2-211-2-20000-1-1-1-111-2-21111112-2-22000022-2-20000-2-2220000-2-200000000-111-1-1-111000011-1-1200-1-100110000
χ23222222-1-2-222-1-1222-122-1-122-1-1-1-1-12-1-2-211-2-20000-1-1-1-111-2-2111111-222-20000-2-222000022-2-20000-2-2000000001-1-1111-1-10000-1-111200-1-100110000
χ24222222-1-2-222-1-1222-122-1-122-1-1-1-1-12-1-2-211-2-20000-1-1-1-111-2-2111111-22-220000-2-2220000-2-222000022000000001-11-111-1-1000011-1-1-2001100-1-10000
χ2522222-1222-1-1222222-1-12-1-1-12-1-122-1-12222-1-12222-1-1-1-122-1-1-1-1-1-1-1-1002222220000-1-1-1-1-1-1-1-1220000-1-1-1-1000000220000-1-1-1-1-1-1-1-1002000000-1-100
χ2622222-1222-1-1222222-1-12-1-1-12-1-122-1-12222-1-12222-1-1-1-122-1-1-1-1-1-1-1-100-2-222220000-1-1-1-11111-2-200001111000000-2-20000-1-1-1-1111100-20000001100
χ2722222-1222-1-1222222-1-12-1-1-12-1-122-1-12222-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-1-10022-2-2-2-200001111-1-1-1-1-2-2000011110000002200001111-1-1-1-100-20000001100
χ2822222-1222-1-1222222-1-12-1-1-12-1-122-1-12222-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-1-100-2-2-2-2-2-2000011111111220000-1-1-1-1000000-2-2000011111111002000000-1-100
χ2922222-12-2-2-1-1222222-1-12-1-1-12-1-122-1-1-2-2-2-21122-2-2-1-1-1-1-2-211111111002-222-2-20000-1-111-1-111220000-1-1-1-10000002-20000-1-111-1-11100-20000001100
χ3022222-12-2-2-1-1222222-1-12-1-1-12-1-122-1-1-2-2-2-21122-2-2-1-1-1-1-2-21111111100-2222-2-20000-1-11111-1-1-2-200001111000000-220000-1-11111-1-1002000000-1-100
χ3122222-12-2-2-1-1222222-1-12-1-1-12-1-122-1-1-2-2-2-211-2-222-1-1-1-1-2-211111111002-2-2-222000011-1-1-1-111-2-2000011110000002-2000011-1-1-1-111002000000-1-100
χ3222222-12-2-2-1-1222222-1-12-1-1-12-1-122-1-1-2-2-2-211-2-222-1-1-1-1-2-21111111100-22-2-222000011-1-111-1-1220000-1-1-1-1000000-22000011-1-111-1-100-20000001100
χ332222-122222222-1-1-122-1-12-1-1-122-1-1-12-1-122222222-1-1-1-1-1-1-1-122-1-1-1-12200-1-1-1-1-1-1-1-1222200000022000000-1-1-1-12200-1-1-1-1-1-1-1-1000002000-1-1000000
χ342222-122222222-1-1-122-1-12-1-1-122-1-1-12-1-122222222-1-1-1-1-1-1-1-122-1-1-1-1-2-200-1-1-1-111112222000000-2-20000001111-2-2001111-1-1-1-100000-200011000000
χ352222-122222222-1-1-122-1-12-1-1-122-1-1-12-1-12222-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-122001111-1-1-1-1-2-2-2-2000000-2-200000011112200-1-1-1-1111100000-200011000000
χ362222-122222222-1-1-122-1-12-1-1-122-1-1-12-1-12222-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-1-2-20011111111-2-2-2-200000022000000-1-1-1-1-2-20011111111000002000-1-1000000
χ372222-122-2-22222-1-1-122-1-12-1-1-122-1-1-1211-2-2-2-222-2-2-1-1-1-11111-2-211112-200-1-111-1-11122-2-200000022000000-1-1-1-12-200-1-111-1-11100000-200011000000
χ382222-122-2-22222-1-1-122-1-12-1-1-122-1-1-1211-2-2-2-222-2-2-1-1-1-11111-2-21111-2200-1-11111-1-122-2-2000000-2-20000001111-220011-1-1-1-111000002000-1-1000000
χ392222-122-2-22222-1-1-122-1-12-1-1-122-1-1-1211-2-2-2-2-2-222-1-1-1-11111-2-211112-20011-1-1-1-111-2-222000000-2-200000011112-200-1-11111-1-1000002000-1-1000000
χ402222-122-2-22222-1-1-122-1-12-1-1-122-1-1-1211-2-2-2-2-2-222-1-1-1-11111-2-21111-220011-1-111-1-1-2-22200000022000000-1-1-1-1-220011-1-111-1-100000-200011000000
χ412-22-2222002-2-22-2-22-2-22222-2-22-2-22-2-2000000000022-2-20000000000000000000000000000002-22i−2i2i−2i22-2-22i2i−2i−2i000000000000000000000002i−2i0000
χ422-22-2222002-2-22-2-22-2-22222-2-22-2-22-2-2000000000022-2-20000000000000000000000000000002-2−2i2i−2i2i22-2-2−2i−2i2i2i00000000000000000000000−2i2i0000
χ432-22-2222002-2-22-2-22-2-22222-2-22-2-22-2-2000000000022-2-2000000000000000000000000000000-222i−2i−2i2i-2-2222i2i−2i−2i00000000000000000000000−2i2i0000
χ442-22-2222002-2-22-2-22-2-22222-2-22-2-22-2-2000000000022-2-2000000000000000000000000000000-22−2i2i2i−2i-2-222−2i−2i2i2i000000000000000000000002i−2i0000
χ452-2-222222-2-2-2-2-22-2-222222-2-2-2-2-22-2222-22-22-22-22-22-2-222-22-22-222-2-200002-22-200002-22-2000000000000000000000000002-22-200000000000000000
χ462-2-222222-2-2-2-2-22-2-222222-2-2-2-2-22-2222-22-22-2-22-222-2-222-22-22-222-2-20000-22-220000-22-2200000000000000000000000000-22-2200000000000000000
χ472-2-22222-22-2-2-2-22-2-222222-2-2-2-2-22-222-22-22-222-2-222-2-22-22-22-22-2-22200002-2-2200002-2-22000000000000000000000000002-2-2200000000000000000
χ482-2-22222-22-2-2-2-22-2-222222-2-2-2-2-22-222-22-22-22-222-22-2-22-22-22-22-2-2220000-222-20000-222-200000000000000000000000000-222-200000000000000000
χ492-2-222-122-211-2-22-2-22-1-12-111-2112-2-1-12-22-2-112-22-2-111-12-2-11-11-1-11100002-22-20000-11-11−i3i3−i3i3000000−i3i3−i3i3000000000000-11-11−i3i3−i3i3000000000−i3i300
χ502-2-222-122-211-2-22-2-22-1-12-111-2112-2-1-12-22-2-112-22-2-111-12-2-11-11-1-11100002-22-20000-11-11i3−i3i3−i3000000i3−i3i3−i3000000000000-11-11i3−i3i3−i3000000000i3−i300
χ512-2-222-122-211-2-22-2-22-1-12-111-2112-2-1-12-22-2-11-22-22-111-12-2-11-11-1-1110000-22-2200001-11-1−i3i3−i3i3000000i3−i3i3−i30000000000001-11-1−i3i3−i3i3000000000i3−i300
χ522-2-222-122-211-2-22-2-22-1-12-111-2112-2-1-12-22-2-11-22-22-111-12-2-11-11-1-1110000-22-2200001-11-1i3−i3i3−i3000000−i3i3−i3i30000000000001-11-1i3−i3i3−i3000000000−i3i300
χ532-2-222-12-2211-2-22-2-22-1-12-111-2112-2-1-1-22-221-12-2-22-111-1-221-11-111-1-100002-2-220000-111-1−i3i3i3−i3000000−i3i3−i3i3000000000000-111-1−i3i3i3−i3000000000i3−i300
χ542-2-222-12-2211-2-22-2-22-1-12-111-2112-2-1-1-22-221-12-2-22-111-1-221-11-111-1-100002-2-220000-111-1i3−i3−i3i3000000i3−i3i3−i3000000000000-111-1i3−i3−i3i3000000000−i3i300
χ552-2-222-12-2211-2-22-2-22-1-12-111-2112-2-1-1-22-221-1-222-2-111-1-221-11-111-1-10000-222-200001-1-11−i3i3i3−i3000000i3−i3i3−i30000000000001-1-11−i3i3i3−i3000000000−i3i300
χ562-2-222-12-2211-2-22-2-22-1-12-111-2112-2-1-1-22-221-1-222-2-111-1-221-11-111-1-10000-222-200001-1-11i3−i3−i3i3000000−i3i3−i3i30000000000001-1-11i3−i3−i3i3000000000i3−i300
χ572-2-22-1222-2-2-2-2-2-11122-1-12111-2-2-11-12-112-22-22-22-2-111-1-11-112-2-1-1110000-11-113−33−32-22-2000000000000003−33−300003−33−3-11-110000000003−3000000
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χ592-2-22-1222-2-2-2-2-2-11122-1-12111-2-2-11-12-112-22-2-22-22-111-1-11-112-2-1-11100001-11-13−33−3-22-2200000000000000−33−3300003−33−31-11-1000000000−33000000
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χ754444-2-24-4-4-2-244-2-2-24-21-2-211-2-2-2-2-21-222-4-42244-4-4111122-1-122-1-1-1-10000-2-2220000-2-2220000000000000000000000000011-1-100000000000000000
χ764444-2-24-4-4-2-244-2-2-24-21-2-211-2-2-2-2-21-222-4-422-4-444111122-1-122-1-1-1-1000022-2-2000022-2-200000000000000000000000000-1-11100000000000000000
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χ1168-8-88-4-4-48-84444-444-4-4222-2-2-2-2-22-222-44-44-440000-111-12-22-22-2-1-111000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).