Finite Group Databasebeta

← Group #13172247

Character table — Group #13172247

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666233366666666666666666444444121212123666666666666444121212121212121212121212121212121212121212124444121212121212121212121212222466121212124466124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-11111-1-11111111111111111-1-111-1-11-11111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111-111-1-1-1-11111-1-1111111111111-1-1-1-111-11-1-1-1-11111-11-11-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-11-11
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-11-1-1-1-1-111-1-1-11-1-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-11-11-1-1-1-1-1-1111-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111111-1-1-11111-1-111-1-1-11
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
χ91111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-11111111-1-1-1-1-1111-1-1-1-1-11-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1111-1-111-1-11-11111-1-1-1-1-1-1-1111
χ101111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-11111111-1-1-1-1-1111-1-1-1-1-1-1111-1-111-1-11111-1-11111-1-1-1-111-1-1-11-1-111-1-1-1-11111-1-111-1-111111-1-1-1
χ111111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-111-1-11111-1-1-1-1-11-1-1111111-1-11-1
χ121111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1111-1-1-1-11-11-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-111-1-1-111-1-111-111-1-1-111-1-1-1-111-11
χ131111111111111111-1111-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-111-1-1-1-11111-1-111-1-1-1-11111-1-1111-1-1111-1-111-1-1-111-1-1-111-1-11111-1-1
χ141111111111111111-1111-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-1111-1-1111111-1-111-1-1-1-111111111-11-1-111-1-1-1-111-1-1-11-1-11111-1-1-1-111
χ151111111111111111-1111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-1-111-1-111-1-1-1-111-1-1-1-1111111-1-11-111-1-11111-1-111-1-111-1-111-1-11-1-11
χ161111111111111111-1111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-11-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-111-1-1111-11111-1-1-1-111-111-1
χ17222222-12222-1-1-12222-1-122-1-12-1-1-1-1-1-1-122-1-1-1222222-1-1-1-1-1222-1-1-1-1-1-1-1-1-120022-1-100-1-1-1-12222-1-1-1-1-1-1-1-100220020-1-1-1-100002000-1-1-1-100000000
χ18222222-12222-1-1-12222-1-122-1-12-1-1-1-1-1-1-122-1-1-12222-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-200-2-21100-1-1112222-1-1-1-1-1-1-1-100-2-200-2011110000-2000111100000000
χ19222222-12222-1-1-12222-1-122-1-12-1-1-1-1-1-1-122-1-1-1-2-2-2-2221111-1222-1-1-1-1-1-1-1-1-120022-1-10011-1-1-2-2-2-21111111100-2-20020-1-1-1-10000-2000111100000000
χ20222222-12222-1-1-12222-1-122-1-12-1-1-1-1-1-1-122-1-1-1-2-2-2-2-2-21111-1222-1-1-1-1-1-1-1-1-1-200-2-211001111-2-2-2-211111111002200-20111100002000-1-1-1-100000000
χ21222222-12222-1-1-122-22-1-1-2-2112-1-1-1111122-1-1-122-2-222-1-1-1-1-1-2-2-211-1-1-11111-20022110011-1-122-2-2-1-1-1-1111100-2-200-20-1-11100002000-1-11100000000
χ22222222-12222-1-1-122-22-1-1-2-2112-1-1-1111122-1-1-122-2-2-2-2-1-1-1-1-1-2-2-211-1-1-11111200-2-2-1-100111122-2-2-1-1-1-111110022002011-1-10000-200011-1-100000000
χ23222222-12222-1-1-122-22-1-1-2-2112-1-1-1111122-1-1-1-2-222221111-1-2-2-211-1-1-11111-200221100-1-1-1-1-2-2221111-1-1-1-1002200-20-1-1110000-200011-1-100000000
χ24222222-12222-1-1-122-22-1-1-2-2112-1-1-1111122-1-1-1-2-222-2-21111-1-2-2-211-1-1-11111200-2-2-1-100-1-111-2-2221111-1-1-1-100-2-2002011-1-100002000-1-11100000000
χ2522222-1222-1-12222-12-12-12222-122-12222-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-122-1-10022000000000000220022-1-1-1-1-1-1-1-1-1-100200000-1-1000-100
χ2622222-1222-1-12222-12-12-12222-122-12222-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-1-122110022000000000000-2-200-2-2-11-1-1-1-1111100-20000011000100
χ2722222-1222-1-12222-12-12-12222-122-12222-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-22211-2-2-1-100-2-2000000000000-2-200221-11111-1-1-1-100-20000011000100
χ2822222-1222-1-12222-12-12-12222-122-12222-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211-2-21100-2-20000000000002200-2-2111111111100200000-1-1000-100
χ2922222-1222-1-12222-1-2-12-1-2-2-2-2-122-1-2-2-2-2-1-1-1-120000220000-111111-1-1-11111-22-2-1-1-2-2110022000000000000-2-2002-21-1-1-111-1-1110020000011000-100
χ3022222-1222-1-12222-1-2-12-1-2-2-2-2-122-1-2-2-2-2-1-1-1-120000220000-111111-1-1-11111-2-22-1-1-2-2-1-100220000000000002200-2211-1-11111-1-100-200000-1-1000100
χ3122222-1222-1-12222-1-2-12-1-2-2-2-2-122-1-2-2-2-2-1-1-1-120000-2-20000-111111-1-1-1111122-211221100-2-200000000000022002-2-1-111-1-1-1-11100-200000-1-1000100
χ3222222-1222-1-12222-1-2-12-1-2-2-2-2-122-1-2-2-2-2-1-1-1-120000-2-20000-111111-1-1-111112-221122-1-100-2-2000000000000-2-200-22-1111-1-111-1-10020000011000-100
χ332222-122-1-122222-122-1-12-1-122-1-1-12-1-1-1-1-1-122-12222002222-12-1-122-1-1-1-1-1-1-10220000222200-1-1-1-1-1-1-1-1-1-1-1-10000-1-1020000-1-1-1-1020200000000-10-10
χ342222-122-1-122222-122-1-12-1-122-1-1-12-1-1-1-1-1-122-12222002222-12-1-122-1-1-1-1-1-1-10-2-20000-2-22200-1-1-1-1-1-1-1-1-1-1-1-10000110-2000011110-20-2000000001010
χ352222-122-1-122222-122-1-12-1-122-1-1-12-1-1-1-1-1-122-1-2-2-2-200-2-2-2-2-12-1-122-1-1-1-1-1-1-1022000022-2-2001111111111110000-1-1020000-1-1-1-10-20-2000000001010
χ362222-122-1-122222-122-1-12-1-122-1-1-12-1-1-1-1-1-122-1-2-2-2-200-2-2-2-2-12-1-122-1-1-1-1-1-1-10-2-20000-2-2-2-2001111111111110000110-200001111020200000000-10-10
χ372222-122-1-122222-12-2-1-1211-2-2-1-1-121111-1-122-122-2-2002222-1-211-2-2-1-1-1111102-20000-2-2-2-200-1-111-1-1-1-111110000-11020000-1-1110-2020000000010-10
χ382222-122-1-122222-12-2-1-1211-2-2-1-1-121111-1-122-122-2-2002222-1-211-2-2-1-1-111110-22000022-2-200-1-111-1-1-1-1111100001-10-2000011-1-1020-200000000-1010
χ392222-122-1-122222-12-2-1-1211-2-2-1-1-121111-1-122-1-2-22200-2-2-2-2-1-211-2-2-1-1-1111102-20000-2-2220011-1-11111-1-1-1-10000-11020000-1-111020-200000000-1010
χ402222-122-1-122222-12-2-1-1211-2-2-1-1-121111-1-122-1-2-22200-2-2-2-2-1-211-2-2-1-1-111110-22000022220011-1-11111-1-1-1-100001-10-2000011-1-10-2020000000010-10
χ4122-2-22222-2-2-22-2-2-2202220000-22-2-200002-22-2-22i−2i00002i2i−2i−2i2000002-2-2000000000000000002i−2i002i2i−2i−2i00002-200000000000000000000002-22i−2i0000
χ4222-2-22222-2-2-22-2-2-2202220000-22-2-200002-22-2-22i−2i00002i2i−2i−2i2000002-2-2000000000000000002i−2i002i2i−2i−2i0000-220000000000000000000000-22−2i2i0000
χ4322-2-22222-2-2-22-2-2-2202220000-22-2-200002-22-2-2−2i2i0000−2i−2i2i2i2000002-2-200000000000000000−2i2i00−2i−2i2i2i00002-200000000000000000000002-2−2i2i0000
χ4422-2-22222-2-2-22-2-2-2202220000-22-2-200002-22-2-2−2i2i0000−2i−2i2i2i2000002-2-200000000000000000−2i2i00−2i−2i2i2i0000-220000000000000000000000-222i−2i0000
χ452-22-2222-222-2-22-2-2-202220000-2-2220000-22-2-2-2002i−2i2i−2i0000200000-22-200000002i−2i00002i−2i2i−2i002i−2i00002i2i−2i−2i002-200002i−2i0000000000002-200000000
χ462-22-2222-222-2-22-2-2-202220000-2-2220000-22-2-2-2002i−2i−2i2i0000200000-22-20000000−2i2i00002i−2i−2i2i002i−2i00002i2i−2i−2i00-220000−2i2i000000000000-2200000000
χ472-22-2222-222-2-22-2-2-202220000-2-2220000-22-2-2-200−2i2i2i−2i0000200000-22-200000002i−2i0000−2i2i2i−2i00−2i2i0000−2i−2i2i2i00-2200002i−2i000000000000-2200000000
χ482-22-2222-222-2-22-2-2-202220000-2-2220000-22-2-2-200−2i2i−2i2i0000200000-22-20000000−2i2i0000−2i2i−2i2i00−2i2i0000−2i−2i2i2i002-20000−2i2i0000000000002-200000000
χ492-22-222-1-222-21-11-2-202-1-100−i3i3-21-1-1−i3−i3i3i3-22111002i−2i2i−2i3−33−3-1000−i3i31-11−i3−i3i3i30002i−2i3−300−ii−ii002i−2i3−33−3−i−iii002-20000−ii3−300000000−i3i3-1100000000
χ502-22-222-1-222-21-11-2-202-1-100−i3i3-21-1-1−i3−i3i3i3-22111002i−2i−2i2i3−33−3-1000−i3i31-11−i3−i3i3i3000−2i2i−3300−iii−i002i−2i3−33−3−i−iii00-220000i−i−3300000000i3−i31-100000000
χ512-22-222-1-222-21-11-2-202-1-100−i3i3-21-1-1−i3−i3i3i3-2211100−2i2i2i−2i−33−33-1000−i3i31-11−i3−i3i3i30002i−2i3−300i−i−ii00−2i2i−33−33ii−i−i00-220000−ii3−300000000i3−i31-100000000
χ522-22-222-1-222-21-11-2-202-1-100−i3i3-21-1-1−i3−i3i3i3-2211100−2i2i−2i2i−33−33-1000−i3i31-11−i3−i3i3i3000−2i2i−3300i−ii−i00−2i2i−33−33ii−i−i002-20000i−i−3300000000−i3i3-1100000000
χ532-22-222-1-222-21-11-2-202-1-100i3−i3-21-1-1i3i3−i3−i3-22111002i−2i2i−2i−33−33-1000i3−i31-11i3i3−i3−i30002i−2i−3300−ii−ii002i−2i−33−33−i−iii002-20000−ii−3300000000i3−i3-1100000000
χ542-22-222-1-222-21-11-2-202-1-100i3−i3-21-1-1i3i3−i3−i3-22111002i−2i−2i2i−33−33-1000i3−i31-11i3i3−i3−i3000−2i2i3−300−iii−i002i−2i−33−33−i−iii00-220000i−i3−300000000−i3i31-100000000
χ552-22-222-1-222-21-11-2-202-1-100i3−i3-21-1-1i3i3−i3−i3-2211100−2i2i2i−2i3−33−3-1000i3−i31-11i3i3−i3−i30002i−2i−3300i−i−ii00−2i2i3−33−3ii−i−i00-220000−ii−3300000000−i3i31-100000000
χ562-22-222-1-222-21-11-2-202-1-100i3−i3-21-1-1i3i3−i3−i3-2211100−2i2i−2i2i3−33−3-1000i3−i31-11i3i3−i3−i3000−2i2i3−300i−ii−i00−2i2i3−33−3ii−i−i002-20000i−i3−300000000i3−i3-1100000000
χ5744444-2-244-2-2-2-2-24-24-2-2144-2-2-2-2-21-2-2-2-2-2-211-200004400001-2-2-2111111111400-2-2-2-20000-2-2000000000000000000-20111100000000000000000000
χ5844444-2-244-2-2-2-2-24-24-2-2144-2-2-2-2-21-2-2-2-2-2-211-20000-4-400001-2-2-2111111111-400222200002200000000000000000020-1-1-1-100000000000000000000
χ5944444-2-244-2-2-2-2-24-2-4-2-21-4-422-2-2-212222-2-211-200004400001222-1-1111-1-1-1-1-400-2-2220000-2-20000000000000000002011-1-100000000000000000000
χ6044444-2-244-2-2-2-2-24-2-4-2-21-4-422-2-2-212222-2-211-20000-4-400001222-1-1111-1-1-1-140022-2-2000022000000000000000000-20-1-11100000000000000000000
χ614444-24-2-2-244-2-2-2-244-21-2-2-2-2-2-211-21111-2-2-2-21444400-2-2-2-214-2-2-2-21111111000000000-2-200-2-2-2-21111111100000000000000000000000000000000
χ624444-24-2-2-244-2-2-2-244-21-2-2-2-2-2-211-21111-2-2-2-21-4-4-4-400222214-2-2-2-2111111100000000022002222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ634444-24-2-2-244-2-2-2-24-4-21-22222-211-2-1-1-1-1-2-2-2-2144-4-400-2-2-2-21-42222111-1-1-1-10000000002200-2-2221111-1-1-1-100000000000000000000000000000000
χ644444-24-2-2-244-2-2-2-24-4-21-22222-211-2-1-1-1-1-2-2-2-21-4-4440022221-42222111-1-1-1-1000000000-2-20022-2-2-1-1-1-1111100000000000000000000000000000000
χ654444-2-24-2-2-2-2444-2-241-2-2-2-2441-2-2-2-2-2-2-211-2-2-200000000001-211-2-211111110440000-2-200000000000000000000-2-20-2000011110000000000000000
χ664444-2-24-2-2-2-2444-2-241-2-2-2-2441-2-2-2-2-2-2-211-2-2-200000000001-211-2-211111110-4-40000220000000000000000000022020000-1-1-1-10000000000000000
χ674444-2-24-2-2-2-2444-2-2-41-2-222-4-41-2-2-2222211-2-2-2000000000012-1-122111-1-1-1-104-400002200000000000000000000-220-2000011-1-10000000000000000
χ684444-2-24-2-2-2-2444-2-2-41-2-222-4-41-2-2-2222211-2-2-2000000000012-1-122111-1-1-1-10-440000-2-2000000000000000000002-2020000-1-1110000000000000000
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χ7044-4-444-24-4-4-4-222-4404-2-20000-4-22200004-4-222−4i4i00002i2i−2i−2i-200000-22200000000000000000−4i4i002i2i−2i−2i000000000000000000000000000000000000
χ7144-4-44-244-4224-4-4-4-20-24-2000024-420000-22-22-40000000000-200000-222000000000000000000000000000004-40000000000000000000000-22000000
χ7244-4-44-244-4224-4-4-4-20-24-2000024-420000-22-22-40000000000-200000-22200000000000000000000000000000-4400000000000000000000002-2000000
χ7344-4-4-244-22-4-44-4-4240-2-2400002-22-40000-224-424i−4i00004i4i−4i−4i-200000-22200000000000000000−2i2i00−2i−2i2i2i000000000000000000000000000000000000
χ7444-4-4-244-22-4-44-4-4240-2-2400002-22-40000-224-42−4i4i0000−4i−4i4i4i-200000-222000000000000000002i−2i002i2i−2i−2i000000000000000000000000000000000000
χ7544-4-4-24-2-22-4-4-222240-21-2000021-123-33-3-22-22-14i−4i0000−2i−2i2i2i1000001-1-13-33-30000000000000−2i2i00ii−i−i3i−3i3i−3i00000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).