Finite Group Databasebeta

← Group #13168325

Character table — Group #13168325

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666633346666666661212121212121212444444121212123666121212121212121212444121212121212121212121212121212121212121212124444121212121212121212121212244412121212121222612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-11-1-1-1-11111-1-1-11-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111-111111111-1-1-1-111-1-111111111-1-1-1-1111-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111-1-11111111111111111111-1-1-1-1-11111-1-1-1-111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-111
χ51111111111111111111111111111111111111-1-111-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-11-111-1-1-1-1-1-1-1-11-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11111-1-1-1-1-1-1-11-1-1111111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-111111111-1-1-1-111-1-11-11-1-1-11111-1-1-111-1-1-111-1-111-111-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111111111-1-1-1-11111-11-1-111-1-111-1-11-1-1-11111-1-1-1-11-1-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1111-111-1-111-1-111-11-1111-1-111-1-1-11-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1111-111-1-1-1-111111-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-11-1-1-11111-1-11-111-1-1-1-111-1-11-111
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-111-1-1-1-11111-1-111-11-1-111-1-111-1-1-11-1111-1-11111-11-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1111-1-1-11111-1-1111-1-1-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-11-1111-1-1-1-111-111-1-1-111-1-1-1-1-1111
χ17222222-122-1-12-12222-1-122-12-1-1-1-1-12-1-122-1-1-1-12200222222-1-1-1-1222-1-1-1-1-1-102222-1-1220000-1-100-1-1-1-1-1-1-1-10000-1-120-1-1-1-10000220000000000-1-100
χ18222222-122-1-12-12222-1-122-12-1-1-1-1-12-1-122-1-1-1-12200222222-1-1-1-1222-1-1-1-1-1-10-2-2-2-2-1-1220000-1-100-1-1-1-1-1-1-1-1000011-2011110000-2-200000000001100
χ19222222-122-1-12-12222-1-122-12-1-1-1-1-12-1-122-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-10222211-2-200001100111111110000-1-120-1-1-1-10000-2-200000000001100
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χ21222222-122-1-12-12222-1-1-22-12-1-1-1-1-1211-2-211112200-2-2-2-2-2-2-1-1-1-1-2-2-211111102-2-2-211220000-1-100-1-1-1-111110000-112011-1-10000-2200000000001-100
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χ23222222-122-1-12-12222-1-1-22-12-1-1-1-1-1211-2-21111-2-200222222-1-1-1-1-2-2-211111102-2-2-2-1-1-2-2000011001111-1-1-1-10000-112011-1-100002-20000000000-1100
χ24222222-122-1-12-12222-1-1-22-12-1-1-1-1-1211-2-21111-2-200222222-1-1-1-1-2-2-21111110-2222-1-1-2-2000011001111-1-1-1-100001-1-20-1-1110000-2200000000001-100
χ2522222-122-12222-1-12-12-12-1-1-1222-1-1-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-10000222200-1-100000000002222-1-1-1-1-1-1-1-1-1-10020-1-100000000-10
χ2622222-122-12222-1-12-12-12-1-1-1222-1-1-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2110000222200-1-10000000000-2-2-2-21-11111-1-1-1-100-20110000000010
χ2722222-122-12222-1-12-12-12-1-1-1222-1-1-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-222-1-10000-2-2-2-200110000000000-2-222-11-1-1-1-1111100-20110000000010
χ2822222-122-12222-1-12-12-12-1-1-1222-1-1-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2110000-2-2-2-20011000000000022-2-211111111110020-1-100000000-10
χ2922222-122-12222-1-12-12-1-2-1-1-1222-1-1-1-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-22-211000022-2-200-1-10000000000-2-22-2-1111-1-1-1-11100201100000000-10
χ3022222-122-12222-1-12-12-1-2-1-1-1222-1-1-1-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-2-22-1-1000022-2-200-1-1000000000022-2211-1-111-1-11100-20-1-10000000010
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χ3222222-122-12222-1-12-12-1-2-1-1-1222-1-1-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-11111111112-22-1-10000-2-22200110000000000-2-2-221-1-1-11111-1-100201100000000-10
χ332222-122-1222-1222-1-1-122-12-1-1-1-122-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-12000022-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000020000-1-1-1-1000200-1-1-1-1000000
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χ352222-122-1222-1222-1-1-122-12-1-1-1-122-122-1-1-1-1-1-1-2-222-2-21111-1-1-1-12-1-122-1-1-1-120000-2-211-1-1-1-1-2-22211111111-2-20000020000-1-1-1-1000-2001111000000
χ362222-122-1222-1222-1-1-122-12-1-1-1-122-122-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-20000-2-2111111-2-2-2-2111111112200000-200001111000200-1-1-1-1000000
χ372222-122-1222-1222-1-1-12-2-12-1-1-1-122-1-2-21111112222-2-21111-1-1-1-1-211-2-21111-20000-2-2-1-1-1-1112222-1-1-1-111112200000-20000-1-111000-200-1-111000000
χ382222-122-1222-1222-1-1-12-2-12-1-1-1-122-1-2-211111122-2-2-2-21111-1-1-1-1-211-2-2111120000-2-2-1-111-1-122-2-2-1-1-1-11111-2-2000002000011-1-100020011-1-1000000
χ392222-122-1222-1222-1-1-12-2-12-1-1-1-122-1-2-2111111-2-22222-1-1-1-1-1-1-1-1-211-2-21111-200002211-1-111-2-2221111-1-1-1-1-2-200000-20000-1-11100020011-1-1000000
χ402222-122-1222-1222-1-1-12-2-12-1-1-1-122-1-2-2111111-2-2-2-222-1-1-1-1-1-1-1-1-211-2-2111120000221111-1-1-2-2-2-21111-1-1-1-122000002000011-1-1000-200-1-111000000
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χ492-22-2-1221-22-21-22-2-1-1-1201-2-1-111-22100−i3i3−i3−i3i3i32i−2i2i−2i003−33−3-111-10−i3i300−i3−i3i3i30000000−ii−ii3−32i−2i2i−2i−i−iii3−33−32-20000000000−ii3−3000000-11−i3i3000000
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Here i is the imaginary unit (i² = −1).