Finite Group Databasebeta

← Group #13171946

Character table — Group #13171946

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666623336666666666666666644444412121212366666666666644412121212121212121212121212121212121212121212444412121212121212121212121224446612121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-111111111-1-1111111111111-1-111-11-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111-11-1-1-1-111-1-111111111111111-1-1-1-11-111-1-1-1-11111-111-1-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-11-11
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-11-1-1-1-111-1-1-11-1-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-11-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-111-1-1-1-1-1-1-1111-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-111111-1-1-11111-1-111-1-1-11
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
χ91111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-11111111-1-1-1-1-1111-1-1-1-11-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-1111-1-1-1-1-1-1-1111
χ101111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-11111111-1-1-1-1-1111-1-1-1-1-1-11-1-111-1-1111111-1-11111-1-1-1-111-1-1-1-11-111-1-1-1-1111-11-111-1-111111-1-1-1
χ111111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1111-1-1-1-111-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-11-1-11111-1-1-11-1-1-1-1111111-1-11-1
χ121111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-111-1-1-111-1-111-1-111-1-111-1-1-1-111-11
χ131111111111111111-1111-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1111-1-1111-1-111-1-1-1-111-1-111-1-11111-1-1
χ141111111111111111-1111-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-11-1-111111111-1-111-1-1-1-111111111-1-11-111-1-1-1-111-11-1-1-1-11111-1-1-1-111
χ151111111111111111-1111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-11-1-11111-1-11-11-111-1-111-1-11-1-11
χ161111111111111111-1111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-111-1-1-111-1-11111-1111-1-1-1-111-111-1
χ17222222-12-12-1-1222222-1-122-1-12-1-1-1-1-1-1-122-1-1-1222222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1020-1-122-1-1-1-1002222-1-1-1-1-1-1-1-100220200-1-1-1-100002000-1-1-1-100000000
χ18222222-12-12-1-1222222-1-122-1-12-1-1-1-1-1-1-122-1-1-12222-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1-10-2011-2-2-1-111002222-1-1-1-1-1-1-1-100-2-20-20011110000-2000111100000000
χ19222222-12-12-1-1222222-1-122-1-12-1-1-1-1-1-1-122-1-1-1-2-2-2-2221111-1222-1-1-1-1-1-1-1-1-1020-1-12211-1-100-2-2-2-21111111100-2-20200-1-1-1-10000-2000111100000000
χ20222222-12-12-1-1222222-1-122-1-12-1-1-1-1-1-1-122-1-1-1-2-2-2-2-2-21111-1222-1-1-1-1-1-1-1-1-10-2011-2-2111100-2-2-2-21111111100220-200111100002000-1-1-1-100000000
χ21222222-12-12-1-12222-22-1-1-2-2112-1-1-1111122-1-1-122-2-222-1-1-1-1-1-2-2-211-1-1-111110-20112211-1-10022-2-2-1-1-1-1111100-2-20-200-1-11100002000-1-11100000000
χ22222222-12-12-1-12222-22-1-1-2-2112-1-1-1111122-1-1-122-2-2-2-2-1-1-1-1-1-2-2-211-1-1-11111020-1-1-2-211110022-2-2-1-1-1-111110022020011-1-10000-200011-1-100000000
χ23222222-12-12-1-12222-22-1-1-2-2112-1-1-1111122-1-1-1-2-222221111-1-2-2-211-1-1-111110-201122-1-1-1-100-2-2221111-1-1-1-100220-200-1-1110000-200011-1-100000000
χ24222222-12-12-1-12222-22-1-1-2-2112-1-1-1111122-1-1-1-2-222-2-21111-1-2-2-211-1-1-11111020-1-1-2-2-1-11100-2-2221111-1-1-1-100-2-2020011-1-100002000-1-11100000000
χ2522222-1222-1222-1-122-12-12222-122-12222-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-10022-1-10000000000002200-1-122-1-1-1-1-1-1-1-100020000-1-1000-100
χ2622222-1222-1222-1-122-12-12222-122-12222-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-222-1-1002211000000000000-2-2001-1-2-2-1-1-1-11111000-2000011000100
χ2722222-1222-1222-1-122-12-12222-122-12222-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-12-22-2-21100-2-2-1-1000000000000-2-200-11221111-1-1-1-1000-2000011000100
χ2822222-1222-1222-1-122-12-12222-122-12222-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-21100-2-211000000000000220011-2-21111111100020000-1-1000-100
χ2922222-1222-1222-1-12-2-12-1-2-2-2-2-122-1-2-2-2-2-1-1-1-120000220000-111111-1-1-111112-2-2-2-2-1-1002211000000000000-2-200-11-22-1-111-1-1110002000011000-100
χ3022222-1222-1222-1-12-2-12-1-2-2-2-2-122-1-2-2-2-2-1-1-1-120000220000-111111-1-1-11111-2-22-2-2-1-10022-1-10000000000002200112-2-1-11111-1-1000-20000-1-1000100
χ3122222-1222-1222-1-12-2-12-1-2-2-2-2-122-1-2-2-2-2-1-1-1-120000-2-20000-111111-1-1-1111122-2221100-2-2110000000000002200-1-1-2211-1-1-1-111000-20000-1-1000100
χ3222222-1222-1222-1-12-2-12-1-2-2-2-2-122-1-2-2-2-2-1-1-1-120000-2-20000-111111-1-1-11111-222221100-2-2-1-1000000000000-2-2001-12-211-1-111-1-10002000011000-100
χ332222-122-12222-122-12-1-12-1-122-1-1-12-1-1-1-1-1-122-12222002222-12-1-122-1-1-1-1-1-1-12020000220022-1-1-1-1-1-1-1-1-1-1-1-1000020-1-10000-1-1-1-1022000000000-10-10
χ342222-122-12222-122-12-1-12-1-122-1-1-12-1-1-1-1-1-122-12222002222-12-1-122-1-1-1-1-1-1-1-20-200002200-2-2-1-1-1-1-1-1-1-1-1-1-1-10000-2011000011110-2-20000000001010
χ352222-122-12222-122-12-1-12-1-122-1-1-12-1-1-1-1-1-122-1-2-2-2-200-2-2-2-2-12-1-122-1-1-1-1-1-1-12020000-2-20022111111111111000020-1-10000-1-1-1-10-2-20000000001010
χ362222-122-12222-122-12-1-12-1-122-1-1-12-1-1-1-1-1-122-1-2-2-2-200-2-2-2-2-12-1-122-1-1-1-1-1-1-1-20-20000-2-200-2-21111111111110000-201100001111022000000000-10-10
χ372222-122-12222-122-1-2-1-1211-2-2-1-1-121111-1-122-122-2-2002222-1-211-2-2-1-1-1111120-20000-2-200-2-2-1-111-1-1-1-111110000201-10000-1-11102-200000000010-10
χ382222-122-12222-122-1-2-1-1211-2-2-1-1-121111-1-122-122-2-2002222-1-211-2-2-1-1-11111-2020000-2-20022-1-111-1-1-1-111110000-20-11000011-1-10-22000000000-1010
χ392222-122-12222-122-1-2-1-1211-2-2-1-1-121111-1-122-1-2-22200-2-2-2-2-1-211-2-2-1-1-1111120-200002200-2-211-1-11111-1-1-1-10000201-10000-1-1110-22000000000-1010
χ402222-122-12222-122-1-2-1-1211-2-2-1-1-121111-1-122-1-2-22200-2-2-2-2-1-211-2-2-1-1-11111-202000022002211-1-11111-1-1-1-10000-20-11000011-1-102-200000000010-10
χ4122-2-2222-2-222-2-2-2-2202220000-2-2-2-200002-22-222-2000022-2-22000002-2-2000000000000000002-20022-2-200002i−2i00000000000000000000002i−2i2i−2i0000
χ4222-2-2222-2-222-2-2-2-2202220000-2-2-2-200002-22-222-2000022-2-22000002-2-2000000000000000002-20022-2-20000−2i2i0000000000000000000000−2i2i−2i2i0000
χ4322-2-2222-2-222-2-2-2-2202220000-2-2-2-200002-22-22-220000-2-2222000002-2-200000000000000000-2200-2-22200002i−2i00000000000000000000002i−2i−2i2i0000
χ4422-2-2222-2-222-2-2-2-2202220000-2-2-2-200002-22-22-220000-2-2222000002-2-200000000000000000-2200-2-2220000−2i2i0000000000000000000000−2i2i2i−2i0000
χ452-2-22222-2-2-2-2222-2-202220000-22-220000-22-2-2-2002i−2i2i−2i0000200000-22-20000000002i−2i2i−2i2i−2i00002i−2i00002i2i−2i−2i002-200002i−2i0000000000002-200000000
χ462-2-22222-2-2-2-2222-2-202220000-22-220000-22-2-2-2002i−2i−2i2i0000200000-22-2000000000−2i2i2i−2i−2i2i00002i−2i00002i2i−2i−2i00-220000−2i2i000000000000-2200000000
χ472-2-22222-2-2-2-2222-2-202220000-22-220000-22-2-2-200−2i2i2i−2i0000200000-22-20000000002i−2i−2i2i2i−2i0000−2i2i0000−2i−2i2i2i00-2200002i−2i000000000000-2200000000
χ482-2-22222-2-2-2-2222-2-202220000-22-220000-22-2-2-200−2i2i−2i2i0000200000-22-2000000000−2i2i−2i2i−2i2i0000−2i2i0000−2i−2i2i2i002-20000−2i2i0000000000002-200000000
χ492-2-2222-1-21-21-122-2-202-1-100−i3i3-2-11-1−i3−i3i3i3-22111002i−2i2i−2i3−33−3-1000−i3i31-11−i3−i3i3i30003−32i−2i−ii−ii00002i−2i3−33−3−i−iii002-20000−ii3−300000000−i3i3-1100000000
χ502-2-2222-1-21-21-122-2-202-1-100−i3i3-2-11-1−i3−i3i3i3-22111002i−2i−2i2i3−33−3-1000−i3i31-11−i3−i3i3i3000−33−2i2i−iii−i00002i−2i3−33−3−i−iii00-220000i−i−3300000000i3−i31-100000000
χ512-2-2222-1-21-21-122-2-202-1-100−i3i3-2-11-1−i3−i3i3i3-2211100−2i2i2i−2i−33−33-1000−i3i31-11−i3−i3i3i30003−32i−2ii−i−ii0000−2i2i−33−33ii−i−i00-220000−ii3−300000000i3−i31-100000000
χ522-2-2222-1-21-21-122-2-202-1-100−i3i3-2-11-1−i3−i3i3i3-2211100−2i2i−2i2i−33−33-1000−i3i31-11−i3−i3i3i3000−33−2i2ii−ii−i0000−2i2i−33−33ii−i−i002-20000i−i−3300000000−i3i3-1100000000
χ532-2-2222-1-21-21-122-2-202-1-100i3−i3-2-11-1i3i3−i3−i3-22111002i−2i2i−2i−33−33-1000i3−i31-11i3i3−i3−i3000−332i−2i−ii−ii00002i−2i−33−33−i−iii002-20000−ii−3300000000i3−i3-1100000000
χ542-2-2222-1-21-21-122-2-202-1-100i3−i3-2-11-1i3i3−i3−i3-22111002i−2i−2i2i−33−33-1000i3−i31-11i3i3−i3−i30003−3−2i2i−iii−i00002i−2i−33−33−i−iii00-220000i−i3−300000000−i3i31-100000000
χ552-2-2222-1-21-21-122-2-202-1-100i3−i3-2-11-1i3i3−i3−i3-2211100−2i2i2i−2i3−33−3-1000i3−i31-11i3i3−i3−i3000−332i−2ii−i−ii0000−2i2i3−33−3ii−i−i00-220000−ii−3300000000−i3i31-100000000
χ562-2-2222-1-21-21-122-2-202-1-100i3−i3-2-11-1i3i3−i3−i3-2211100−2i2i−2i2i3−33−3-1000i3−i31-11i3i3−i3−i30003−3−2i2ii−ii−i0000−2i2i3−33−3ii−i−i002-20000i−i3−300000000i3−i3-1100000000
χ5744444-2-24-2-2-2-24-2-244-2-2144-2-2-2-2-21-2-2-2-2-2-211-200004400001-2-2-2111111111040-2-2-2-200-2-20000000000000000000-200111100000000000000000000
χ5844444-2-24-2-2-2-24-2-244-2-2144-2-2-2-2-21-2-2-2-2-2-211-20000-4-400001-2-2-21111111110-40222200220000000000000000000200-1-1-1-100000000000000000000
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χ1034-4-44-24-222-42-2-24-420-21-200−2i32i321-1-2i3i3−i3−i32-222-100−4i4i00−2323−23231000−2i32i3-11-1i3i3−i3−i300000002i−2i0000002i−2i3−33−3−i−iii00000000000000000000000000000000
χ1044-4-44-24-222-42-2-24-420-21-2002i3−2i321-1-2−i3−i3i3i32-222-1004i−4i00−2323−232310002i3−2i3-11-1−i3−i3i3i30000000−2i2i000000−2i2i3−33−3ii−i−i00000000000000000000000000000000
χ1054-4-44-24-222-42-2-24-420-21-2002i3−2i321-1-2−i3−i3i3i32-222-100−4i4i0023−2323−2310002i3−2i3-11-1−i3−i3i3i300000002i−2i0000002i−2i−33−33−i−iii00000000000000000000000000000000
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χ1138-88-8-4-4-4-4-444444-440222−4i34i3002-22-22i3−2i3−2i32i3-2-2-22-20000000000-102i3−2i30011-1−i3i3i3−i3000000000000000000000000000000000000000000000000000000000
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χ1158-8-88-4-484-84-88-4-44402-4-40000-2-44-40000-224440000000000200000-22-20000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-44444-4-4-444022200−4i34i3-22-222i32i3−2i3−2i3-22-2-2-20000000000-10002i3−2i31-11−i3−i3i3i3000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-44444-4-4-4440222004i3−4i3-22-22−2i3−2i32i32i3-22-2-2-20000000000-1000−2i32i31-11i3i3−i3−i3000000000000000000000000000000000000000000000000000000000

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