Finite Group Databasebeta

← Group #13171952

Character table — Group #13171952

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666623336666666666666666644444412121212366666666666624466121212121212121212121212121212121212121222446661212121212121212122444661212121244612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-1-1-11111111111111111111111-1-1-1-1-11-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-11-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-11-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-11-11-1-1-1-1-1-111-1111
χ51111111111111111111111111111111111111-1-11111111111111111111111-1111-1-1-1-1111111-1-111111111-1-1-1-1111-111-1-1-1-111-11-11-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111111-1-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-111-1-1-1-111-1-11-11111-1-111-1-1-11
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
χ91111111111111111-1111-1-1-1-1111-1-1-1-11111111111-1-111111-1-1-1-1-1111-1-1-1-11-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-111-1-1111111-11-1-1
χ101111111111111111-1111-1-1-1-1111-1-1-1-11111111111-1-111111-1-1-1-1-1111-1-1-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-111-1-1-1-11-111
χ111111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-11111-1-1-1-1111111-1-1-1-111111111111-1-1-111-1-1-1-1-11-1-111-1-111-1-1-1-111
χ121111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-11111-1-1
χ131111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-111111-1-1-1-1-1111-1-1-1-111-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11-1-1111-1-1-1-1-1-111-11
χ141111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-111111-1-1-1-1-1111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-11111-11-1-111-1-11111-1-11-1
χ151111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-111-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111-1-1-111-1-1111-11-1
χ161111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1111-1-11111-1-111-1-11111-1-1-11-11
χ17222222-1-12-122222-122-1-1222222-12222-1-1-1-1-122200000000-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-12222000000-1-10000000000222-1-1-1-12-1-1-1-1-1-120000000-1-100-1000
χ18222222-1-12-122222-122-1-1222222-12222-1-1-1-1-122200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2112222000000-1-10000000000-2-2-211-11-2-1-1-1-111-2000000011001000
χ19222222-1-12-122222-122-1-1222222-12222-1-1-1-1-12-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-22-1-1-2-2-2-2000000110000000000-2-22-1-11-121111-1-1-2000000011001000
χ20222222-1-12-122222-122-1-1222222-12222-1-1-1-1-12-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211-2-2-2-200000011000000000022-21111-211111120000000-1-100-1000
χ21222222-1-12-122222-1-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-122200000000-111111-1-1-111112-2-2-1-122-2-2000000-1-10000000000222-1-111-2-1-11111-20000000-1-1001000
χ22222222-1-12-122222-1-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-122200000000-111111-1-1-11111-2-221122-2-2000000-1-10000000000-2-2-2111-12-1-111-1-1200000001100-1000
χ23222222-1-12-122222-1-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-12-2-200000000-111111-1-1-1111122-2-1-1-2-222000000110000000000-2-22-1-1-11-211-1-111200000001100-1000
χ24222222-1-12-122222-1-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-12-2-200000000-111111-1-1-11111-22211-2-22200000011000000000022-211-1-1211-1-1-1-1-20000000-1-1001000
χ2522222-122-12222-1-122-1-1222-1-1-1-1-1-1-1-1-122-1-12-1222222-1-1-1-1-12-1-122-1-1-1-1-1-1-102000-1-1-1-12222-1-122-1-1-1-1-1-1-1-12200000200-1-1-1-1000020-1-1-1-100000000
χ2622222-122-12222-1-122-1-1222-1-1-1-1-1-1-1-1-122-1-12-122-2-2-2-21111-12-1-122-1-1-1-1-1-1-102000-1-1-1-1-2-2-2-2112211111111-2-200000200-1-1-1-10000-20111100000000
χ2722222-122-12222-1-122-1-1222-1-1-1-1-1-1-1-1-122-1-12-1-2-22222-1-1-1-1-12-1-122-1-1-1-1-1-1-10-200011112222-1-1-2-2-1-1-1-1-1-1-1-1-2-200000-20011110000-20111100000000
χ2822222-122-12222-1-122-1-1222-1-1-1-1-1-1-1-1-122-1-12-1-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-10-20001111-2-2-2-211-2-2111111112200000-2001111000020-1-1-1-100000000
χ2922222-122-12222-1-12-2-1-12-2-211-1-1-1111122-1-12-12222-2-2-1-1-1-1-1-211-2-2-1-1-111110-2000-1-11122-2-21122-1-1-1-11111-2-200000-200-1-11100002011-1-100000000
χ3022222-122-12222-1-12-2-1-12-2-211-1-1-1111122-1-12-122-2-2221111-1-211-2-2-1-1-111110-2000-1-111-2-222-1-1221111-1-1-1-12200000-200-1-1110000-20-1-11100000000
χ3122222-122-12222-1-12-2-1-12-2-211-1-1-1111122-1-12-1-2-222-2-2-1-1-1-1-1-211-2-2-1-1-111110200011-1-122-2-211-2-2-1-1-1-11111220000020011-1-10000-20-1-11100000000
χ3222222-122-12222-1-12-2-1-12-2-211-1-1-1111122-1-12-1-2-2-2-2221111-1-211-2-2-1-1-111110200011-1-1-2-222-1-1-2-21111-1-1-1-1-2-20000020011-1-100002011-1-100000000
χ332222-122222-1-1-12222-12-1-1-122-1-12-1-1-1-1-1-122-1-10022222222-1222-1-1-1-1-1-1-1-1-1202220000-1-1-1-12200-1-1-1-1-1-1-1-10000-1-1-102-10000-1-10202000000000-1-10
χ342222-122222-1-1-12222-12-1-1-122-1-12-1-1-1-1-1-122-1-10022222222-1222-1-1-1-1-1-1-1-1-1-20-2-2-20000-1-1-1-12200-1-1-1-1-1-1-1-100001110-210000110-20-2000000000110
χ352222-122222-1-1-12222-12-1-1-122-1-12-1-1-1-1-1-122-1-100-2-2-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-12022200001111-2-200111111110000-1-1-102-10000-1-10-20-2000000000110
χ362222-122222-1-1-12222-12-1-1-122-1-12-1-1-1-1-1-122-1-100-2-2-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-20-2-2-200001111-2-2001111111100001110-210000110202000000000-1-10
χ372222-122222-1-1-1222-2-12-111-2-2-1-121111-1-122-1-10022-2-22222-1-2-2-211-1-1-1111120-2220000-1-111-2-200-1-1-1-111110000-1-1-10-210000110-202000000000-110
χ382222-122222-1-1-1222-2-12-111-2-2-1-121111-1-122-1-10022-2-22222-1-2-2-211-1-1-11111-202-2-20000-1-111-2-200-1-1-1-11111000011102-10000-1-1020-20000000001-10
χ392222-122222-1-1-1222-2-12-111-2-2-1-121111-1-122-1-100-2-222-2-2-2-2-1-2-2-211-1-1-1111120-222000011-1-122001111-1-1-1-10000-1-1-10-21000011020-20000000001-10
χ402222-122222-1-1-1222-2-12-111-2-2-1-121111-1-122-1-100-2-222-2-2-2-2-1-2-2-211-1-1-11111-202-2-2000011-1-122001111-1-1-1-1000011102-10000-1-10-202000000000-110
χ4122-2-2222-22-22-2-2-2-22022200002-2-200002-22-2-2-2002i−2i002i2i−2i−2i2000002-2-200000000000002i−2i0000002i2i−2i−2i0000002-2000000000000000000002-22i−2i0000
χ4222-2-2222-22-22-2-2-2-22022200002-2-200002-22-2-2-2002i−2i002i2i−2i−2i2000002-2-200000000000002i−2i0000002i2i−2i−2i000000-2200000000000000000000-22−2i2i0000
χ4322-2-2222-22-22-2-2-2-22022200002-2-200002-22-2-2-200−2i2i00−2i−2i2i2i2000002-2-20000000000000−2i2i000000−2i−2i2i2i0000002-2000000000000000000002-2−2i2i0000
χ4422-2-2222-22-22-2-2-2-22022200002-2-200002-22-2-2-200−2i2i00−2i−2i2i2i2000002-2-20000000000000−2i2i000000−2i−2i2i2i000000-2200000000000000000000-222i−2i0000
χ452-2-222222-2-2-22-22-2-202220000-2220000-22-2-2-2-22i−2i002i−2i0000200000-22-20000000002i−2i00002i−2i2i−2i2i−2i00002i2i−2i−2i2-2000000002i−2i000000002-20000000000
χ462-2-222222-2-2-22-22-2-202220000-2220000-22-2-2-2-22i−2i00−2i2i0000200000-22-20000000002i−2i0000−2i2i−2i2i2i−2i0000−2i−2i2i2i-22000000002i−2i00000000-220000000000
χ472-2-222222-2-2-22-22-2-202220000-2220000-22-2-2-2-2−2i2i002i−2i0000200000-22-2000000000−2i2i00002i−2i2i−2i−2i2i00002i2i−2i−2i-2200000000−2i2i00000000-220000000000
χ482-2-222222-2-2-22-22-2-202220000-2220000-22-2-2-2-2−2i2i00−2i2i0000200000-22-2000000000−2i2i0000−2i2i−2i2i−2i2i0000−2i−2i2i2i2-200000000−2i2i000000002-20000000000
χ492-2-222-1221-2-22-2-11-20-1-1200−i3i31-1-1−i3−i3i3i3-2211-212i−2i002i−2i3−33−3-10−i3i3001-11−i3−i3i3i300000−ii3−3002i−2i−ii2i−2i3−33−3−i−iii2-200000000−ii3−3000000-11−i3i300000000
χ502-2-222-1221-2-22-2-11-20-1-1200−i3i31-1-1−i3−i3i3i3-2211-212i−2i00−2i2i−33−33-10−i3i3001-11−i3−i3i3i300000−ii3−300−2i2ii−i2i−2i−33−33ii−i−i-2200000000−ii3−30000001-1i3−i300000000
χ512-2-222-1221-2-22-2-11-20-1-1200−i3i31-1-1−i3−i3i3i3-2211-21−2i2i002i−2i3−33−3-10−i3i3001-11−i3−i3i3i300000i−i−33002i−2i−ii−2i2i3−33−3−i−iii-2200000000i−i−330000001-1i3−i300000000
χ522-2-222-1221-2-22-2-11-20-1-1200−i3i31-1-1−i3−i3i3i3-2211-21−2i2i00−2i2i−33−33-10−i3i3001-11−i3−i3i3i300000i−i−3300−2i2ii−i−2i2i−33−33ii−i−i2-200000000i−i−33000000-11−i3i300000000
χ532-2-222-1221-2-22-2-11-20-1-1200i3−i31-1-1i3i3−i3−i3-2211-212i−2i002i−2i−33−33-10i3−i3001-11i3i3−i3−i300000−ii−33002i−2i−ii2i−2i−33−33−i−iii2-200000000−ii−33000000-11i3−i300000000
χ542-2-222-1221-2-22-2-11-20-1-1200i3−i31-1-1i3i3−i3−i3-2211-212i−2i00−2i2i3−33−3-10i3−i3001-11i3i3−i3−i300000−ii−3300−2i2ii−i2i−2i3−33−3ii−i−i-2200000000−ii−330000001-1−i3i300000000
χ552-2-222-1221-2-22-2-11-20-1-1200i3−i31-1-1i3i3−i3−i3-2211-21−2i2i002i−2i−33−33-10i3−i3001-11i3i3−i3−i300000i−i3−3002i−2i−ii−2i2i−33−33−i−iii-2200000000i−i3−30000001-1−i3i300000000
χ562-2-222-1221-2-22-2-11-20-1-1200i3−i31-1-1i3i3−i3−i3-2211-21−2i2i00−2i2i3−33−3-10i3−i3001-11i3i3−i3−i300000i−i3−300−2i2ii−i−2i2i3−33−3ii−i−i2-200000000i−i3−3000000-11i3−i300000000
χ5744444-2-2-2-2-2444-2-2-24-21-244-2-2-2-21-2-2-2-2-2-211-2-244000000001-211-2-2111111104000-2-2-2-2000000-2-2000000000000000-2001111000000000000000000
χ5844444-2-2-2-2-2444-2-2-24-21-244-2-2-2-21-2-2-2-2-2-211-2-2-4-4000000001-211-2-211111110-4000222200000022000000000000000200-1-1-1-1000000000000000000
χ5944444-2-2-2-2-2444-2-2-2-4-21-2-4-422-2-212222-2-211-2-2440000000012-1-122111-1-1-1-10-4000-2-222000000-2-200000000000000020011-1-1000000000000000000
χ6044444-2-2-2-2-2444-2-2-2-4-21-2-4-422-2-212222-2-211-2-2-4-40000000012-1-122111-1-1-1-10400022-2-200000022000000000000000-200-1-111000000000000000000
χ614444-24-2-24-2-2-2-244-24-2-21-2-244-2-2-2-2-2-2-211-2-21-200000000001-2-2-2111111111404-2-2000000000000000000000000-2110-2-20000110000000000000000
χ624444-24-2-24-2-2-2-244-24-2-21-2-244-2-2-2-2-2-2-211-2-21-200000000001-2-2-2111111111-40-4220000000000000000000000002-1-10220000-1-10000000000000000
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χ654444-2-244-24-2-2-2-2-2441-2-2-2-2-2-211-21111-2-2-2-2-21004444-2-2-2-214-2-2-2-21111111000000000-2-2-2-2-2-2001111111100000000000000000000000000000000
χ664444-2-244-24-2-2-2-2-2441-2-2-2-2-2-211-21111-2-2-2-2-2100-4-4-4-4222214-2-2-2-2111111100000000022222200-1-1-1-1-1-1-1-100000000000000000000000000000000
χ674444-2-244-24-2-2-2-2-24-41-2-2222211-2-1-1-1-1-2-2-2-2-210044-4-4-2-2-2-21-42222111-1-1-1-1000000000-2-22222001111-1-1-1-100000000000000000000000000000000
χ684444-2-244-24-2-2-2-2-24-41-2-2222211-2-1-1-1-1-2-2-2-2-2100-4-44422221-42222111-1-1-1-100000000022-2-2-2-200-1-1-1-1111100000000000000000000000000000000
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χ7244-4-44-24-4-2-44-4-42240-2-240000-22200004-4-22-4200−4i4i002i2i−2i−2i-200000-2220000000000000−4i4i0000002i2i−2i−2i000000000000000000000000000000000000
χ7344-4-4-244-44-4-222-4-440-24-20000-22-40000-224-422004i−4i004i4i−4i−4i-200000-2220000000000000−2i2i000000−2i−2i2i2i000000000000000000000000000000000000
χ7444-4-4-244-44-4-222-4-440-24-20000-22-40000-224-42200−4i4i00−4i−4i4i4i-200000-22200000000000002i−2i0000002i2i−2i−2i000000000000000000000000000000000000
χ7544-4-4-2-24-4-2-4-22222401-2-200001-123-33-3-22-222-1004i−4i00−2i−2i2i2i1000001-1-13-33-3000000000−2i2i000000ii−i−i3i−3i3i−3i00000000000000000000000000000000
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χ7744-4-4-2-24-4-2-4-22222401-2-200001-12-33-33-22-222-1004i−4i00−2i−2i2i2i1000001-1-1-33-33000000000−2i2i000000ii−i−i−3i3i−3i3i00000000000000000000000000000000
χ7844-4-4-2-24-4-2-4-22222401-2-200001-12-33-33-22-222-100−4i4i002i2i−2i−2i1000001-1-1-33-330000000002i−2i000000−i−iii3i−3i3i−3i00000000000000000000000000000000
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χ1054-4-44-2-2442-42-22-22-401-2-2002i3−2i3-11-2−i3−i3i3i32-2222-10000−4i4i23−2323−23102i3−2i300-11-1−i3−i3i3i3000000000002i−2i2i−2i00−33−33−i−iii00000000000000000000000000000000
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χ1138-88-8-4-4-444-444-44-440222−4i34i300-2-2-22i3−2i3−2i32i3-2-2-22220000000000-10002i3−2i311-1−i3i3i3−i3000000000000000000000000000000000000000000000000000000000
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χ1178-8-88-4-4-4-4444-44-4440222004i3−4i3-222−2i3−2i32i32i3-22-2-2-2-20000000000-10−2i32i3001-11i3i3−i3−i3000000000000000000000000000000000000000000000000000000000

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