Finite Group Databasebeta

← Group #13172850

Character table — Group #13172850

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order12223336666666662333666666666666666662222446666366666666666624466666666666666661212121212124444666121212121212121212244412121212121222612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-1111111-1-11111111111111111-1-1-1-1-1-11-11111-1-1-1-11-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111-11-11-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-1111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111111-1-11
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111111111111111-1-1-1-1-1-1-111-1-11-1-1-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11111-1-1-11-11-1-1-1-1-1-111-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-1-1-111-1-11-11111-1-111-1-1-11
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
χ91111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-11111111-1-1-1-1-1111-1-1-1-11-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111111-1-1-111-1-1-1-1-1-11111-1-11111-11-1-1
χ101111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-11111111-1-1-1-1-1111-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-111111-111-1-1-1-1-1-11-111
χ111111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1111-1-1-1-111-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1111-11-1-1-111-1-11-1-11-1-111-1-1-1-111-11
χ121111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1111-1-11111-11-1-1-1-1111111-1-11-1
χ131111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-111-1-11111-1-1-1-111111111-1-11111111-1-1-111-1-1-1-1-11-1-1-1-11111-1-1-1-111
χ141111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-1111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-11-1111-1-1111-1-11-1-111-1-11111-1-1
χ151111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111-11-1-1-111-1-1111-111-1-1-1-1111-11-1
χ161111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1111-1-11111-1-11111-1-111-1-1-11-11
χ17222222-12-12-12222-12-1-122222-1-1-12222222-1-1-10000220000-1-1-1-1-1-1-1-1-1-1-1-1-1222000000-1-10000000022-1-12200222-1-12-1-1-1-1-1-1-1-120000000-1-100-1000
χ18222222-12-12-12222-12-1-122222-1-1-12222222-1-1-10000220000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2000000110000000022-1-12200-2-2-211-2-11-1-1-1-111-2000000011001000
χ19222222-12-12-12222-12-1-122222-1-1-12222222-1-1-10000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-12-22000000-1-100000000-2-211-2-200-2-22-1-121-11111-1-1-2000000011001000
χ20222222-12-12-12222-12-1-122222-1-1-12222222-1-1-10000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20000001100000000-2-211-2-20022-211-21111111120000000-1-100-1000
χ21222222-12-12-12222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-10000220000-111111-1-1-111112-2-2000000-1-10000000022-1-1-2-200222-1-1-211-1-11111-20000000-1-1001000
χ22222222-12-12-12222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-10000220000-111111-1-1-11111-2-22000000110000000022-1-1-2-200-2-2-21121-1-1-111-1-1200000001100-1000
χ23222222-12-12-12222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-10000-2-20000-111111-1-1-1111122-2000000-1-100000000-2-2112200-2-22-1-1-2-1111-1-111200000001100-1000
χ24222222-12-12-12222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-10000-2-20000-111111-1-1-11111-2220000001100000000-2-211220022-2112-1-111-1-1-1-1-20000000-1-1001000
χ2522222-1222-12-1-122222-1-122-1-12-1-1-1-1-1-1-1-1-122-12222002222-1222-1-1-1-1-1-1-1-1-120222-1-1-1-122-1-1-1-1-1-1-1-10000000000-1-1-1-1020000-1-10202000000000-1-10
χ2622222-1222-12-1-122222-1-122-1-12-1-1-1-1-1-1-1-1-122-12222002222-1222-1-1-1-1-1-1-1-1-1-20-222-1-1-1-1-2-2-1-1-1-1-1-1-1-1000000000011110-20000110-20-2000000000110
χ2722222-1222-12-1-122222-1-122-1-12-1-1-1-1-1-1-1-1-122-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1202-2-2111122111111110000000000-1-1-1-1020000-1-10-20-2000000000110
χ2822222-1222-12-1-122222-1-122-1-12-1-1-1-1-1-1-1-1-122-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-20-2-2-21111-2-211111111000000000011110-20000110202000000000-1-10
χ2922222-1222-12-1-1222-22-1-1-2-2112-1-1-1-1-1111122-122-2-2002222-1-2-2-211-1-1-1111120-2-2-2-1-11122-1-1-1-111110000000000-1-1-110-20000110-202000000000-110
χ3022222-1222-12-1-1222-22-1-1-2-2112-1-1-1-1-1111122-122-2-2002222-1-2-2-211-1-1-11111-202-2-2-1-111-2-2-1-1-1-111110000000000111-1020000-1-1020-20000000001-10
χ3122222-1222-12-1-1222-22-1-1-2-2112-1-1-1-1-1111122-1-2-22200-2-2-2-2-1-2-2-211-1-1-1111120-22211-1-1221111-1-1-1-10000000000-1-1-110-2000011020-20000000001-10
χ3222222-1222-12-1-1222-22-1-1-2-2112-1-1-1-1-1111122-1-2-22200-2-2-2-2-1-2-2-211-1-1-11111-2022211-1-1-2-21111-1-1-1-10000000000111-1020000-1-10-202000000000-110
χ332222-122-122222-1-122-12-1-1-122-122-1-1-1-1-1-1-1-1-12222222-1-1-1-1-12-1-122-1-1-1-1-1-1-1020-1-1222200-1-1-1-1-1-1-1-1-1-122-1-12200000020-1-1-1-1000020-1-1-1-100000000
χ342222-122-122222-1-122-12-1-1-122-122-1-1-1-1-1-1-1-1-122222-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-10-20-1-1222200-1-1-1-1-1-1-1-111-2-211-2-2000000-2011110000-20111100000000
χ352222-122-122222-1-122-12-1-1-122-122-1-1-1-1-1-1-1-1-12-2-2-2-2221111-12-1-122-1-1-1-1-1-1-102011-2-2-2-20011111111-1-122-1-1-2-200000020-1-1-1-10000-20111100000000
χ362222-122-122222-1-122-12-1-1-122-122-1-1-1-1-1-1-1-1-12-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-10-2011-2-2-2-2001111111111-2-21122000000-201111000020-1-1-1-100000000
χ372222-122-122222-1-12-2-12-111-2-2-122-1-1-11111-1-1222-2-222-1-1-1-1-1-211-2-2-1-1-111110-201122-2-200-1-1-1-11111-1-12211-2-2000000-20-1-111000020-1-11100000000
χ382222-122-122222-1-12-2-12-111-2-2-122-1-1-11111-1-1222-2-2-2-2-1-1-1-1-1-211-2-2-1-1-111110201122-2-200-1-1-1-1111111-2-2-1-1220000002011-1-10000-2011-1-100000000
χ392222-122-122222-1-12-2-12-111-2-2-122-1-1-11111-1-12-2-222221111-1-211-2-2-1-1-111110-20-1-1-2-222001111-1-1-1-1-1-1221122000000-20-1-1110000-2011-1-100000000
χ402222-122-122222-1-12-2-12-111-2-2-122-1-1-11111-1-12-2-222-2-21111-1-211-2-2-1-1-11111020-1-1-2-222001111-1-1-1-111-2-2-1-1-2-20000002011-1-1000020-1-11100000000
χ4122-2-222222-2-22-2-2-2-20222000022-22-2-20000-2-2-2002-22i−2i00002000002-2-200000002-2002-200000022-2-22i−2i2i−2i002i−2i000000002i−2i00000000002i−2i00000000
χ4222-2-222222-2-22-2-2-2-20222000022-22-2-20000-2-2-2002-2−2i2i00002000002-2-200000002-2002-200000022-2-2−2i2i−2i2i00−2i2i00000000−2i2i0000000000−2i2i00000000
χ4322-2-222222-2-22-2-2-2-20222000022-22-2-20000-2-2-200-222i−2i00002000002-2-20000000-2200-22000000-2-2222i−2i2i−2i00−2i2i000000002i−2i0000000000−2i2i00000000
χ4422-2-222222-2-22-2-2-2-20222000022-22-2-20000-2-2-200-22−2i2i00002000002-2-20000000-2200-22000000-2-222−2i2i−2i2i002i−2i00000000−2i2i00000000002i−2i00000000
χ4522-2-2-122-12-2-22-211-20-12-1−i3i300-12-2-111−i3−i3i3i311-2002-22i−2i−i3−i3i3i3-10−i3i300-111−i3−i3i3i3000-11002-200−i3−i3i3i3-1-111−ii2i−2i3−32i−2i00000000−ii3−30000003−3−ii00000000
χ4622-2-2-122-12-2-22-211-20-12-1−i3i300-12-2-111−i3−i3i3i311-2002-2−2i2i−i3−i3i3i3-10−i3i300-111−i3−i3i3i3000-11002-200−i3−i3i3i3-1-111i−i−2i2i−33−2i2i00000000i−i−33000000−33i−i00000000
χ4722-2-2-122-12-2-22-211-20-12-1−i3i300-12-2-111−i3−i3i3i311-200-222i−2ii3i3−i3−i3-10−i3i300-111−i3−i3i3i30001-100-2200i3i3−i3−i311-1-1−ii2i−2i3−3−2i2i00000000−ii3−3000000−33i−i00000000
χ4822-2-2-122-12-2-22-211-20-12-1−i3i300-12-2-111−i3−i3i3i311-200-22−2i2ii3i3−i3−i3-10−i3i300-111−i3−i3i3i30001-100-2200i3i3−i3−i311-1-1i−i−2i2i−332i−2i00000000i−i−330000003−3−ii00000000
χ4922-2-2-122-12-2-22-211-20-12-1i3−i300-12-2-111i3i3−i3−i311-2002-22i−2ii3i3−i3−i3-10i3−i300-111i3i3−i3−i3000-11002-200i3i3−i3−i3-1-111−ii2i−2i−332i−2i00000000−ii−33000000−33−ii00000000
χ5022-2-2-122-12-2-22-211-20-12-1i3−i300-12-2-111i3i3−i3−i311-2002-2−2i2ii3i3−i3−i3-10i3−i300-111i3i3−i3−i3000-11002-200i3i3−i3−i3-1-111i−i−2i2i3−3−2i2i00000000i−i3−30000003−3i−i00000000
χ5122-2-2-122-12-2-22-211-20-12-1i3−i300-12-2-111i3i3−i3−i311-200-222i−2i−i3−i3i3i3-10i3−i300-111i3i3−i3−i30001-100-2200−i3−i3i3i311-1-1−ii2i−2i−33−2i2i00000000−ii−330000003−3i−i00000000
χ5222-2-2-122-12-2-22-211-20-12-1i3−i300-12-2-111i3i3−i3−i311-200-22−2i2i−i3−i3i3i3-10i3−i300-111i3i3−i3−i30001-100-2200−i3−i3i3i311-1-1i−i−2i2i3−32i−2i00000000i−i3−3000000−33−ii00000000
χ532-2-22222-2-2-2-2-222-2202220000-2-22-22-200002-2-22-200002-22-2200000-22-20000000002-200002-22-20000000000002-2000000000000000000002-22-20000
χ542-2-22222-2-2-2-2-222-2202220000-2-22-22-200002-2-22-200002-22-2200000-22-20000000002-200002-22-2000000000000-2200000000000000000000-22-220000
χ552-2-22222-2-2-2-2-222-2202220000-2-22-22-200002-2-2-220000-22-22200000-22-2000000000-220000-22-220000000000002-2000000000000000000002-2-220000
χ562-2-22222-2-2-2-2-222-2202220000-2-22-22-200002-2-2-220000-22-22200000-22-2000000000-220000-22-22000000000000-2200000000000000000000-222-20000
χ5744444-2-24-2-2-2-2-244-24-21-244-2-2-211-2-2-2-2-2-2-2-2-2100000000001-2-2-2111111111404000000-2-2000000000000000000-211-20-20000110000000000000000
χ5844444-2-24-2-2-2-2-244-24-21-244-2-2-211-2-2-2-2-2-2-2-2-2100000000001-2-2-2111111111-40-4000000220000000000000000002-1-12020000-1-10000000000000000
χ5944444-2-24-2-2-2-2-244-2-4-21-2-4-422-211-2-2-22222-2-2100000000001222-1-1111-1-1-1-140-4000000-2-2000000000000000000-2112020000-1-10000000000000000
χ6044444-2-24-2-2-2-2-244-2-4-21-2-4-422-211-2-2-22222-2-2100000000001222-1-1111-1-1-1-1-404000000220000000000000000002-1-1-20-20000110000000000000000
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χ624444-24-2-2-24-244-2-2-241-2-2-2-2441-2-2-2-2-2-2-2-2-211-20000-4-400001-211-2-211111110-4000000000000000002222220000000020-1-1-1-1000000000000000000
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χ654444-2-24-24-24-2-2-2-244-2-21-2-2-2-2-2-2-21111111-2-2-2444400-2-2-2-214-2-2-2-21111111000-2-2-2-2-2-2001111111100000000000000000000000000000000000000
χ664444-2-24-24-24-2-2-2-244-2-21-2-2-2-2-2-2-21111111-2-2-2-4-4-4-400222214-2-2-2-2111111100022222200-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ674444-2-24-24-24-2-2-2-24-4-2-212222-2-2-2111-1-1-1-1-2-2-244-4-400-2-2-2-21-42222111-1-1-1-100022-2-222001111-1-1-1-100000000000000000000000000000000000000
χ684444-2-24-24-24-2-2-2-24-4-2-212222-2-2-2111-1-1-1-1-2-2-2-4-4440022221-42222111-1-1-1-1000-2-222-2-200-1-1-1-1111100000000000000000000000000000000000000
χ6944-4-444-24-2-424-4-4-420-2-240000-2-224-4-4000022200004i−4i0000-200000-222000000000000000000000004i−4i−2i2i000000000000−2i2i00000000000000000000
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χ7144-4-44-24442-4-22-4-4-404-2-200004-22-2220000-4-42004-4000000-200000-22200000004-400-22000000-2-22200000000000000000000000000000000000000
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χ7344-4-4-24-2-2-2-424-422201-2-2−2i32i3001-22-222−2i3−2i32i32i3-1-1200004i−4i000010i3−i3001-1-1i3i3−i3−i30000000000000000000−2i2i−2i2i23−230000000000i−i−33000000000000000000
χ7444-4-4-24-2-2-2-424-422201-2-2−2i32i3001-22-222−2i3−2i32i32i3-1-120000−4i4i000010i3−i3001-1-1i3i3−i3−i300000000000000000002i−2i2i−2i−23230000000000−ii3−3000000000000000000
χ7544-4-4-24-2-2-2-424-422201-2-22i3−2i3001-22-2222i32i3−2i3−2i3-1-1200004i−4i000010−i3i3001-1-1−i3−i3i3i30000000000000000000−2i2i−2i2i−23230000000000i−i3−3000000000000000000
χ7644-4-4-24-2-2-2-424-422201-2-22i3−2i3001-22-2222i32i3−2i3−2i3-1-120000−4i4i000010−i3i3001-1-1−i3−i3i3i300000000000000000002i−2i2i−2i23−230000000000−ii−33000000000000000000
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Here i is the imaginary unit (i² = −1).