Finite Group Databasebeta

← Group #13172234

Character table — Group #13172234

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666623336666666666666666644444412121212366666666666624466121212121212121212121212121212121212121244446661212121212121212124444121212121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-11111-1-1111111111111111111-1-1111-1-1-111-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111-111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1111-1-111111-11-1-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-111-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-11-11
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11-1-111-1-1-1-1-11-1-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-11-11-1-1-1-1-1-1-1111-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-11111-11-1-111-1-11111-1-1-11
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
χ91111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-11111111-1-1-1-1-1111-1-1-1-1-11-1-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-111111-1-111-1-11111-1-111-1-11-1
χ101111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-11111111-1-1-1-1-1111-1-1-1-1-1-11-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-111-111-1-111-111111-1-1-1-1-1-111-11
χ111111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1111-1-1-1-111-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1111-1-11-1-111-1-11-1-11-1-1-1-111-1-1-1111
χ121111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1111-1-1-1-11-1111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111-1-1-1-1-111-1-11-1-1-11111111-1-1-1
χ131111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1-111111-1-1-1-11-1-1-11111-1-11-1-11
χ141111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-11-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-1-111-111-1-1111-1-11-1-1-1-11111-111-1
χ151111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-11-1-111-1-1-111111-1-1-1-11111-1-1
χ161111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-1111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111111-1-1-1-1-11111-1-11111-1-1-1-1-1-111
χ17222222-122-12-122-1222-1-1222222-12222-1-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-100-1-10000000000000022-1-1-12-12-1-1-1-1-1-1000200-1-100000-100
χ18222222-122-12-122-1222-1-1222222-12222-1-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-222221100-1-100000000000000-2-2-1-1-1-21-2-1-11111000-2001100000100
χ19222222-122-12-122-1222-1-1222222-12222-1-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-222-2-2-2-2-1-1001100000000000000-2-21112-1211-1-1-1-1000-2001100000100
χ20222222-122-12-122-1222-1-1222222-12222-1-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-21100110000000000000022111-21-2111111000200-1-100000-100
χ21222222-122-12-122-12-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-120000220000-111111-1-1-11111-22-2-2-222-1-100-1-10000000000000022111-212-1-1-1-111000-200-1-100000100
χ22222222-122-12-122-12-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-120000220000-111111-1-1-11111-2-22-2-2221100-1-100000000000000-2-21112-1-2-1-111-1-10002001100000-100
χ23222222-122-12-122-12-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-120000-2-20000-111111-1-1-1111122-222-2-2-1-1001100000000000000-2-2-1-1-1-21211-1-1110002001100000-100
χ24222222-122-12-122-12-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-120000-2-20000-111111-1-1-111112-2222-2-21100110000000000000022-1-1-12-1-21111-1-1000-200-1-100000100
χ2522222-122-12-122-1222-12-122-1-1-1-12-1-1-1-1-1-122-1-1222222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1200-1-1-1-100-1-1222222-1-1-1-1-1-1-1-122002-1-1000-1-100000200-1-100-1-1000000
χ2622222-122-12-122-1222-12-122-1-1-1-12-1-1-1-1-1-122-1-12222-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-200111100-1-1-2-22222-1-1-1-1-1-1-1-1-2-200-2110001100000-200110011000000
χ2722222-122-12-122-1222-12-122-1-1-1-12-1-1-1-1-1-122-1-1-2-2-2-2221111-1222-1-1-1-1-1-1-1-1-1200-1-1-1-1001122-2-2-2-211111111-2-2002-1-1000-1-100000-200110011000000
χ2822222-122-12-122-1222-12-122-1-1-1-12-1-1-1-1-1-122-1-1-2-2-2-2-2-21111-1222-1-1-1-1-1-1-1-1-1-20011110011-2-2-2-2-2-2111111112200-2110001100000200-1-100-1-1000000
χ2922222-122-12-122-122-2-12-1-2-211-1-121111-1-122-1-122-2-222-1-1-1-1-1-2-2-211-1-1-11111-20011-1-100112222-2-2-1-1-1-11111-2-200-211000-1-100000200-1-10011000000
χ3022222-122-12-122-122-2-12-1-2-211-1-121111-1-122-1-122-2-2-2-2-1-1-1-1-1-2-2-211-1-1-11111200-1-1110011-2-222-2-2-1-1-1-1111122002-1-10001100000-2001100-1-1000000
χ3122222-122-12-122-122-2-12-1-2-211-1-121111-1-122-1-1-2-222221111-1-2-2-211-1-1-11111-20011-1-100-1-122-2-2221111-1-1-1-12200-211000-1-100000-2001100-1-1000000
χ3222222-122-12-122-122-2-12-1-2-211-1-121111-1-122-1-1-2-222-2-21111-1-2-2-211-1-1-11111200-1-11100-1-1-2-2-2-2221111-1-1-1-1-2-2002-1-10001100000200-1-10011000000
χ332222-122-12222-122-12-1-12-1-122-1-1-1-1-1-1-122-1-12-12222002222-12-1-122-1-1-1-1-1-1-10220000222200-1-1-1-1-1-1-1-1-1-1-1-10000000-12-100-1-1-1-1202000000000-10-10
χ342222-122-12222-122-12-1-12-1-122-1-1-1-1-1-1-122-1-12-12222002222-12-1-122-1-1-1-1-1-1-10-2-20000-2-22200-1-1-1-1-1-1-1-1-1-1-1-100000001-21001111-20-20000000001010
χ352222-122-12222-122-12-1-12-1-122-1-1-1-1-1-1-122-1-12-1-2-2-2-200-2-2-2-2-12-1-122-1-1-1-1-1-1-1022000022-2-2001111111111110000000-12-100-1-1-1-1-20-20000000001010
χ362222-122-12222-122-12-1-12-1-122-1-1-1-1-1-1-122-1-12-1-2-2-2-200-2-2-2-2-12-1-122-1-1-1-1-1-1-10-2-20000-2-2-2-20011111111111100000001-21001111202000000000-10-10
χ372222-122-12222-122-1-2-1-1211-2-2-1-1-1111122-1-12-122-2-2002222-1-211-2-2-1-1-1111102-2000022-2-200-1-111-1-1-1-1111100000001-2-100-1-11120-200000000010-10
χ382222-122-12222-122-1-2-1-1211-2-2-1-1-1111122-1-12-122-2-2002222-1-211-2-2-1-1-111110-220000-2-2-2-200-1-111-1-1-1-111110000000-1210011-1-1-202000000000-1010
χ392222-122-12222-122-1-2-1-1211-2-2-1-1-1111122-1-12-1-2-22200-2-2-2-2-1-211-2-2-1-1-1111102-2000022220011-1-11111-1-1-1-100000001-2-100-1-111-202000000000-1010
χ402222-122-12222-122-1-2-1-1211-2-2-1-1-1111122-1-12-1-2-22200-2-2-2-2-1-211-2-2-1-1-111110-220000-2-2220011-1-11111-1-1-1-10000000-1210011-1-120-200000000010-10
χ4122-2-2222-2-22-2-2-22-2202220000-2-2-200002-22-2-222-2000022-2-22000002-2-2000000000000000002-20022-2-20000002i−2i0000000000000000002i−2i002i−2i0000
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χ452-2-22222-22-2-2-22-22-2022200002-2-20000-2-2-222-2002i−2i2-20000200000-22-20000000002-2002i−2i2-2002i−2i00002i2i−2i−2i2i−2i000000002-20000000000002i−2i000000
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χ482-2-22222-22-2-2-22-22-2022200002-2-20000-2-2-222-200−2i2i-220000200000-22-2000000000-2200−2i2i-2200−2i2i0000−2i−2i2i2i2i−2i00000000-220000000000002i−2i000000
χ492-2-222-12-2-1-21-2212-20-12-100−i3i3-11-2−i3−i3i3i311-22-11002i−2i2-23−33−3-1000−i3i31-11−i3−i3i3i3000−i3i3-1100−ii2-2002i−2i3−33−3−i−iii2i−2i000−i3i3000-11000000003−300−ii000000
χ502-2-222-12-2-1-21-2212-20-12-100−i3i3-11-2−i3−i3i3i311-22-11002i−2i-223−33−3-1000−i3i31-11−i3−i3i3i3000i3−i31-100−ii-22002i−2i3−33−3−i−iii−2i2i000i3−i30001-100000000−3300i−i000000
χ512-2-222-12-2-1-21-2212-20-12-100−i3i3-11-2−i3−i3i3i311-22-1100−2i2i2-2−33−33-1000−i3i31-11−i3−i3i3i3000−i3i3-1100i−i2-200−2i2i−33−33ii−i−i−2i2i000−i3i3000-1100000000−3300i−i000000
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χ552-2-222-12-2-1-21-2212-20-12-100i3−i3-11-2i3i3−i3−i311-22-1100−2i2i2-23−33−3-1000i3−i31-11i3i3−i3−i3000i3−i3-1100i−i2-200−2i2i3−33−3ii−i−i−2i2i000i3−i3000-11000000003−300i−i000000
χ562-2-222-12-2-1-21-2212-20-12-100i3−i3-11-2i3i3−i3−i311-22-1100−2i2i-223−33−3-1000i3−i31-11i3i3−i3−i3000−i3i31-100i−i-2200−2i2i3−33−3ii−i−i2i−2i000−i3i30001-100000000−3300−ii000000
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χ1034-4-44-2-242-2-42-4-224201-2-200−2i32i31-12i3i3−i3−i3222-2-2-100−4i4i00−2323−23231000−2i32i3-11-1i3i3−i3−i30000000002i−2i00002i−2i3−33−3−i−iii00000000000000000000000000000000
χ1044-4-44-2-242-2-42-4-224201-2-2002i3−2i31-12−i3−i3i3i3222-2-2-1004i−4i00−2323−232310002i3−2i3-11-1−i3−i3i3i3000000000−2i2i0000−2i2i3−33−3ii−i−i00000000000000000000000000000000
χ1054-4-44-2-242-2-42-4-224201-2-2002i3−2i31-12−i3−i3i3i3222-2-2-100−4i4i0023−2323−2310002i3−2i3-11-1−i3−i3i3i30000000002i−2i00002i−2i−33−33−i−iii00000000000000000000000000000000
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χ10888-8-88-4-4-84-444-8-4480-4-42000044400002-2-44-2-400000000002000002-2-20000000000000000000000000000000000000000000000000000000000000
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χ11188-8-8-4-4-444-4444-44-402220000-2-2-2-66-662-22-2-220000000000-100000-1113-33-3000000000000000000000000000000000000000000000000000000000
χ1128-88-88-4-4844-4-4-844-80-4-4200004-4-40000-2244-240000000000200000-2-220000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-4-444-4-444440222−4i34i300-2222i3−2i3−2i32i3-22-2-2-2-20000000000-102i3−2i30011-1−i3i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4-444-4-4444402224i3−4i300-222−2i32i32i3−2i3-22-2-2-2-20000000000-10−2i32i30011-1i3−i3−i3i3000000000000000000000000000000000000000000000000000000000
χ1158-8-88-48-4484-84-4-8-440-42-40000-44-2000044-22-440000000000200000-22-20000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-44-4444-44-44022200−4i34i32-2-22i32i3−2i3−2i3-2-2-222-20000000000-10002i3−2i31-11−i3−i3i3i3000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-44-4444-44-440222004i3−4i32-2-2−2i3−2i32i32i3-2-2-222-20000000000-1000−2i32i31-11i3i3−i3−i3000000000000000000000000000000000000000000000000000000000

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