Finite Group Databasebeta

← Group #13172858

Character table — Group #13172858

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order12223336666666662333666666666666666662222446666366666666666624466666666666666121212121212121222446666121212121212121244446612121212441212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-111111111111111111-1-11111-1-111-1-1-1-1-111111-1-1-11-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-11111111111111111111-111111111111111-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111111111-1-1-1111-1-1-1-1-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111111-1-11-11-1-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1-111-11-1-1-1-1111111-1-1-11
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
χ91111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-11111111-1-1-1-1-1111-1-1-1-11-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1111-1-111-1-1-1-11-111
χ101111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-11111111-1-1-1-1-1111-1-1-1-1-11-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-11-111-1-11111-1-11111-1-111-11-1-1
χ111111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1111-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-11-1-111-1-1-1-11-111-1-111111-1-1-1
χ121111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111111-1-11-1-1-1-111-1-1-1111
χ131111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-11-1-11-1-1-1-11111-111-1
χ141111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-111-1-111-1-1-1-11111111111-1-11111-1-1-1-11-111-1-111-1-11-111-1-111-1-11-1-11
χ151111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-1111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-11-1-111-1-111-1-11111-1-1-1-1-11-11
χ161111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1111-1-111-1-1111-11-1
χ17222222-12-12-12222-12-1-122222-1-1-12222222-1-1-10000220000-1-1-1-1-1-1-1-1-1-1-1-1-122200000000000000-1-1-1-1222222002-1-1-12-1-1-1-1-1-1-10002-1-100000000-10
χ18222222-12-12-12222-12-1-122222-1-1-12222222-1-1-10000220000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2200000000000000-1-1112222-2-200-2111-2-1-1-1-1-111000-2110000000010
χ19222222-12-12-12222-12-1-122222-1-1-12222222-1-1-10000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-122-20000000000000011-1-1-2-2-2-2-2-2002-1-1-1211111-1-1000-2110000000010
χ20222222-12-12-12222-12-1-122222-1-1-12222222-1-1-10000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2000000000000001111-2-2-2-22200-2111-211111110002-1-100000000-10
χ21222222-12-12-12222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-10000220000-111111-1-1-111112-2-200000000000000-1-11122-2-2-2-2002-1-1-1-21-1-1111100021100000000-10
χ22222222-12-12-12222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-10000220000-111111-1-1-11111-22-200000000000000-1-1-1-122-2-22200-211121-1-111-1-1000-2-1-10000000010
χ23222222-12-12-12222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-10000-2-20000-111111-1-1-111112-22000000000000001111-2-22222002-1-1-1-2-111-1-111000-2-1-10000000010
χ24222222-12-12-12222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-10000-2-20000-111111-1-1-11111-2220000000000000011-1-1-2-222-2-200-21112-111-1-1-1-100021100000000-10
χ2522222-1222-12-1-122222-1-122-1-12-1-1-1-1-1-1-1-1-122-12222002222-1222-1-1-1-1-1-1-1-1-122022-1-1-1-1-1-1-1-1-1-1-1-1002200000000-12-1-1-100000-1-1202000000000-1-100
χ2622222-1222-12-1-122222-1-122-1-12-1-1-1-1-1-1-1-1-122-12222002222-1222-1-1-1-1-1-1-1-1-1-2-2022-1-1-1-1-1-1-1-1-1-1-1-100-2-2000000001-21110000011-20-20000000001100
χ2722222-1222-12-1-122222-1-122-1-12-1-1-1-1-1-1-1-1-122-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1220-2-2111111111111002200000000-12-1-1-100000-1-1-20-20000000001100
χ2822222-1222-12-1-122222-1-122-1-12-1-1-1-1-1-1-1-1-122-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-2-20-2-211111111111100-2-2000000001-21110000011202000000000-1-100
χ2922222-1222-12-1-1222-22-1-1-2-2112-1-1-1-1-1111122-122-2-2002222-1-2-2-211-1-1-111112-20-2-2-1-111-1-1-1-1111100-2-200000000-12-1-110000011-202000000000-1100
χ3022222-1222-12-1-1222-22-1-1-2-2112-1-1-1-1-1111122-122-2-2002222-1-2-2-211-1-1-11111-220-2-2-1-111-1-1-1-111110022000000001-211-100000-1-120-20000000001-100
χ3122222-1222-12-1-1222-22-1-1-2-2112-1-1-1-1-1111122-1-2-22200-2-2-2-2-1-2-2-211-1-1-111112-202211-1-11111-1-1-1-100-2-200000000-12-1-11000001120-20000000001-100
χ3222222-1222-12-1-1222-22-1-1-2-2112-1-1-1-1-1111122-1-2-22200-2-2-2-2-1-2-2-211-1-1-11111-2202211-1-11111-1-1-1-10022000000001-211-100000-1-1-202000000000-1100
χ332222-122-122222-1-122-12-1-1-122-122-1-1-1-1-1-1-1-1-12222222-1-1-1-1-12-1-122-1-1-1-1-1-1-1002-1-12222-1-1-1-1-1-1-1-12200-1-1-1-10022000002-1-1-1-100020000-1-1-1-1000000
χ342222-122-122222-1-122-12-1-1-122-122-1-1-1-1-1-1-1-1-122222-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-100-2-1-12222-1-1-1-1-1-1-1-1-2-200111100-2-200000-21111000-200001111000000
χ352222-122-122222-1-122-12-1-1-122-122-1-1-1-1-1-1-1-1-12-2-2-2-2221111-12-1-122-1-1-1-1-1-1-100211-2-2-2-2111111112200-1-1-1-100-2-2000002-1-1-1-1000-200001111000000
χ362222-122-122222-1-122-12-1-1-122-122-1-1-1-1-1-1-1-1-12-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-100-211-2-2-2-211111111-2-2001111002200000-2111100020000-1-1-1-1000000
χ372222-122-122222-1-12-2-12-111-2-2-122-1-1-11111-1-1222-2-222-1-1-1-1-1-211-2-2-1-1-1111100-21122-2-2-1-1-1-111112200-1-11100-2-200000-2-1-11100020000-1-111000000
χ382222-122-122222-1-12-2-12-111-2-2-122-1-1-11111-1-1222-2-2-2-2-1-1-1-1-1-211-2-2-1-1-111110021122-2-2-1-1-1-11111-2-20011-1-1002200000211-1-1000-2000011-1-1000000
χ392222-122-122222-1-12-2-12-111-2-2-122-1-1-11111-1-12-2-222221111-1-211-2-2-1-1-1111100-2-1-1-2-2221111-1-1-1-12200-1-111002200000-2-1-111000-2000011-1-1000000
χ402222-122-122222-1-12-2-12-111-2-2-122-1-1-11111-1-12-2-222-2-21111-1-211-2-2-1-1-11111002-1-1-2-2221111-1-1-1-1-2-20011-1-100-2-200000211-1-100020000-1-111000000
χ4122-2-222222-2-22-2-2-2-20222000022-22-2-20000-2-2-2002-22i−2i00002000002-2-200000002-2002-2000022-2-22i−2i002i−2i00002i−2i0000002i−2i0000000000002i−2i000000
χ4222-2-222222-2-22-2-2-2-20222000022-22-2-20000-2-2-2002-2−2i2i00002000002-2-200000002-2002-2000022-2-2−2i2i00−2i2i0000−2i2i000000−2i2i000000000000−2i2i000000
χ4322-2-222222-2-22-2-2-2-20222000022-22-2-20000-2-2-200-222i−2i00002000002-2-20000000-2200-220000-2-2222i−2i002i−2i0000−2i2i0000002i−2i000000000000−2i2i000000
χ4422-2-222222-2-22-2-2-2-20222000022-22-2-20000-2-2-200-22−2i2i00002000002-2-20000000-2200-220000-2-222−2i2i00−2i2i00002i−2i000000−2i2i0000000000002i−2i000000
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−i3i3i3000-11002-2−i3−i3i3i3-1-1112i−2i00−ii3−3002i−2i000000−ii3−3000000003−3−ii000000
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−i3i3i3000-11002-2−i3−i3i3i3-1-111−2i2i00i−i−3300−2i2i000000i−i−3300000000−33i−i000000
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−i3i3i30001-100-22i3i3−i3−i311-1-12i−2i00−ii3−300−2i2i000000−ii3−300000000−33i−i000000
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−i3i3i30001-100-22i3i3−i3−i311-1-1−2i2i00i−i−33002i−2i000000i−i−33000000003−3−ii000000
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−i3000-11002-2i3i3−i3−i3-1-1112i−2i00−ii−33002i−2i000000−ii−3300000000−33−ii000000
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−i3000-11002-2i3i3−i3−i3-1-111−2i2i00i−i3−300−2i2i000000i−i3−3000000003−3i−i000000
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−i30001-100-22−i3−i3i3i311-1-12i−2i00−ii−3300−2i2i000000−ii−33000000003−3i−i000000
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−i30001-100-22−i3−i3i3i311-1-1−2i2i00i−i3−3002i−2i000000i−i3−300000000−33−ii000000
χ532-2-22222-2-2-2-2-222-2202220000-2-22-22-200002-2-22-200002-22-2200000-22-20000000002-2002-22-20000000000002-20000000000000000002-200002-20000
χ542-2-22222-2-2-2-2-222-2202220000-2-22-22-200002-2-22-200002-22-2200000-22-20000000002-2002-22-2000000000000-22000000000000000000-220000-220000
χ552-2-22222-2-2-2-2-222-2202220000-2-22-22-200002-2-2-220000-22-22200000-22-2000000000-2200-22-220000000000002-20000000000000000002-20000-220000
χ562-2-22222-2-2-2-2-222-2202220000-2-22-22-200002-2-2-220000-22-22200000-22-2000000000-2200-22-22000000000000-22000000000000000000-2200002-20000
χ5744444-2-24-2-2-2-2-244-24-21-244-2-2-211-2-2-2-2-2-2-2-2-2100000000001-2-2-21111111114400000000000000000-2-200000000-2-211-200000110000000000000000
χ5844444-2-24-2-2-2-2-244-24-21-244-2-2-211-2-2-2-2-2-2-2-2-2100000000001-2-2-2111111111-4-400000000000000000220000000022-1-1200000-1-10000000000000000
χ5944444-2-24-2-2-2-2-244-2-4-21-2-4-422-211-2-2-22222-2-2100000000001222-1-1111-1-1-1-14-4000000000000000002200000000-2-211200000-1-10000000000000000
χ6044444-2-24-2-2-2-2-244-2-4-21-2-4-422-211-2-2-22222-2-2100000000001222-1-1111-1-1-1-1-4400000000000000000-2-20000000022-1-1-200000110000000000000000
χ614444-24-2-2-24-244-2-2-241-2-2-2-2441-2-2-2-2-2-2-2-2-211-200004400001-211-2-2111111100400000000000000-2-200-2-2-2-2000000000-21111000000000000000000
χ624444-24-2-2-24-244-2-2-241-2-2-2-2441-2-2-2-2-2-2-2-2-211-20000-4-400001-211-2-2111111100-400000000000000220022220000000002-1-1-1-1000000000000000000
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χ664444-2-24-24-24-2-2-2-244-2-21-2-2-2-2-2-2-21111111-2-2-2-4-4-4-400222214-2-2-2-21111111000222222-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ674444-2-24-24-24-2-2-2-24-4-2-212222-2-2-2111-1-1-1-1-2-2-244-4-400-2-2-2-21-42222111-1-1-1-100022-2-2221111-1-1-1-10000000000000000000000000000000000000000
χ684444-2-24-24-24-2-2-2-24-4-2-212222-2-2-2111-1-1-1-1-2-2-2-4-4440022221-42222111-1-1-1-1000-2-222-2-2-1-1-1-111110000000000000000000000000000000000000000
χ6944-4-444-24-2-424-4-4-420-2-240000-2-224-4-4000022200004i−4i0000-200000-222000000000000000000000−2i2i004i−4i000000000000−2i2i00000000000000000000
χ7044-4-444-24-2-424-4-4-420-2-240000-2-224-4-400002220000−4i4i0000-200000-2220000000000000000000002i−2i00−4i4i0000000000002i−2i00000000000000000000
χ7144-4-44-24442-4-22-4-4-404-2-200004-22-2220000-4-42004-4000000-200000-22200000004-400-220000-2-2220000000000000000000000000000000000000000
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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−i300000000000000000−2i2i00−2i2i23−230000000000i−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−i3000000000000000002i−2i002i−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−i3i3i300000000000000000−2i2i00−2i2i−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−i3i3i3000000000000000002i−2i002i−2i23−230000000000−ii−33000000000000000000
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Here i is the imaginary unit (i² = −1).