Finite Group Databasebeta

← Group #13172862

Character table — Group #13172862

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666623336666666666666666622224466663666666666666444666666666666661212121212121212444412121212121212121212121222441212121212122266124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-11111111111111111-1-1111111-1-1-1-11-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111-1111111111111111-1-111-1-1-1-1-1-1-1-111-11-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-11
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111111111-11-1-1-1-1-1-111-1-11-1-1-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-11111-1-1-1-11-1-11-1-1-1-1-1-111-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-11-1-1-1-11111-1-11-11111-1-111-1-1-11
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
χ91111111111111111-1111-1-1-1-111111-1-1-1-1111111-1-11111111-1-1-1-1-1111-1-1-1-11-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1111-1-1-111-1-111-1-1-1-11111-1-11111-1-11-1
χ101111111111111111-1111-1-1-1-111111-1-1-1-1111111-1-11111111-1-1-1-1-1111-1-1-1-1-1-11-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-11-1111-1-1-1-111111-111-1-1-1-1-1-111-11
χ111111111111111111-1111-1-1-1-111111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1111-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-11-11-1-1-11111-1-1-11-11-1-111-1-1-1-11-111
χ121111111111111111-1111-1-1-1-111111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-1-1111-1-1-1-1-1111111-11-1-1
χ131111111111111111-1111-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-111-1-111-1-1-1-11111111111-1-111111-1-1-111-1-111-1-11-1-1-1-1-11111-1-1-11-11
χ141111111111111111-1111-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-1111-1-111-1-1-1-1111111-1-111-1-111-1-1-11-1111-1-1-1-111-11-11-1-111-1-1111-11-1
χ151111111111111111-1111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-111-1-111-1-1-1-11111-1-111-1-111-1-1-1-11-11-1-1-11111-1-1111-111-1-1-1-11111-1-1
χ161111111111111111-1111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1111-1-111-1-111-1-11111-1-111-1-1-1-111
χ17222222-1222-1-1-122222-1-122-1-12-1-1-1-1-1-1-1-122-1-12222002222-1222-1-1-1-1-1-1-1-1-120222-1-1-1-1-1-1-1-1-1-1-1-1002200000000-1-1020000-1-1-1-12002000000000-1-10
χ18222222-1222-1-1-122222-1-122-1-12-1-1-1-1-1-1-1-122-1-12222002222-1222-1-1-1-1-1-1-1-1-1-20-222-1-1-1-1-1-1-1-1-1-1-1-100-2-200000000110-200001111-200-2000000000110
χ19222222-1222-1-1-122222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1202-2-2111111111111002200000000-1-1020000-1-1-1-1-200-2000000000110
χ20222222-1222-1-1-122222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-20-2-2-211111111111100-2-200000000110-2000011112002000000000-1-10
χ21222222-1222-1-1-1222-22-1-1-2-2112-1-1-1-1111122-1-122-2-2002222-1-2-2-211-1-1-1111120-2-2-2-1-111-1-1-1-11111002200000000-110-20000-1-111-20020000000001-10
χ22222222-1222-1-1-1222-22-1-1-2-2112-1-1-1-1111122-1-122-2-2002222-1-2-2-211-1-1-11111-202-2-2-1-111-1-1-1-1111100-2-2000000001-102000011-1-1200-2000000000-110
χ23222222-1222-1-1-1222-22-1-1-2-2112-1-1-1-1111122-1-1-2-22200-2-2-2-2-1-2-2-211-1-1-1111120-22211-1-11111-1-1-1-1002200000000-110-20000-1-111200-2000000000-110
χ24222222-1222-1-1-1222-22-1-1-2-2112-1-1-1-1111122-1-1-2-22200-2-2-2-2-1-2-2-211-1-1-11111-2022211-1-11111-1-1-1-100-2-2000000001-102000011-1-1-20020000000001-10
χ2522222-122-1-122222-12-1-122222-1-12222222-1-1-1-10000220000-1-1-1-1-1-1-1-1-1-1-1-1-122200000000000000-1-1-1-12222002222-1-1-1-1-1-1-1-1-1-102000000-1-100-1000
χ2622222-122-1-122222-12-1-122222-1-12222222-1-1-1-10000220000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-200000000000000-1-111222200-2-2-2-2-11-1-1-1-111110-200000011001000
χ2722222-122-1-122222-12-1-122222-1-12222222-1-1-1-10000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-12-220000000000000011-1-1-2-2-2-200-2-2221-11111-1-1-1-10-200000011001000
χ2822222-122-1-122222-12-1-122222-1-12222222-1-1-1-10000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2000000000000001111-2-2-2-20022-2-2111111111102000000-1-100-1000
χ2922222-122-1-122222-1-2-1-12-2-2-2-2-1-1222-2-2-2-2-1-1-1-10000220000-111111-1-1-111112-2-200000000000000-1-1-1-122-2-200222-211-1-111-1-1110-2000000-1-1001000
χ3022222-122-1-122222-1-2-1-12-2-2-2-2-1-1222-2-2-2-2-1-1-1-10000220000-111111-1-1-11111-2-2200000000000000-1-11122-2-200-2-2-221-1-1-11111-1-1020000001100-1000
χ3122222-122-1-122222-1-2-1-12-2-2-2-2-1-1222-2-2-2-2-1-1-1-10000-2-20000-111111-1-1-1111122-20000000000000011-1-1-2-22200-2-22-2-1111-1-1-1-111020000001100-1000
χ3222222-122-1-122222-1-2-1-12-2-2-2-2-1-1222-2-2-2-2-1-1-1-10000-2-20000-111111-1-1-11111-222000000000000001111-2-2220022-22-1-111-1-111-1-10-2000000-1-1001000
χ332222-122-122222-1-122-12-1-1-122-12-1-1-1-1-1-1-1-1-122222222-1-1-1-1-12-1-122-1-1-1-1-1-1-1020-1-12222-1-1-1-1-1-1-1-12200-1-1-1-122000020-1-1-1-100000020-1-1-1-100000000
χ342222-122-122222-1-122-12-1-1-122-12-1-1-1-1-1-1-1-1-1222222-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-10-20-1-12222-1-1-1-1-1-1-1-1-2-2001111-2-20000-201111000000-20111100000000
χ352222-122-122222-1-122-12-1-1-122-12-1-1-1-1-1-1-1-1-122-2-2-2-2221111-12-1-122-1-1-1-1-1-1-102011-2-2-2-2111111112200-1-1-1-1-2-2000020-1-1-1-1000000-20111100000000
χ362222-122-122222-1-122-12-1-1-122-12-1-1-1-1-1-1-1-1-122-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-10-2011-2-2-2-211111111-2-2001111220000-20111100000020-1-1-1-100000000
χ372222-122-122222-1-12-2-12-111-2-2-12-1-1-11111-1-12222-2-222-1-1-1-1-1-211-2-2-1-1-111110-201122-2-2-1-1-1-111112200-1-111-2-20000-20-1-11100000020-1-11100000000
χ382222-122-122222-1-12-2-12-111-2-2-12-1-1-11111-1-12222-2-2-2-2-1-1-1-1-1-211-2-2-1-1-111110201122-2-2-1-1-1-11111-2-20011-1-12200002011-1-1000000-2011-1-100000000
χ392222-122-122222-1-12-2-12-111-2-2-12-1-1-11111-1-122-2-222221111-1-211-2-2-1-1-111110-20-1-1-2-2221111-1-1-1-12200-1-111220000-20-1-111000000-2011-1-100000000
χ402222-122-122222-1-12-2-12-111-2-2-12-1-1-11111-1-122-2-222-2-21111-1-211-2-2-1-1-11111020-1-1-2-2221111-1-1-1-1-2-20011-1-1-2-200002011-1-100000020-1-11100000000
χ4122-2-222222-22-2-2-2-2-2022200002-22-2-20000-2-22-2002-22i−2i00002000002-2-200000002-2002-2000022-2-22i−2i002i−2i002i−2i0000002i−2i0000000000002i−2i00000000
χ4222-2-222222-22-2-2-2-2-2022200002-22-2-20000-2-22-2002-2−2i2i00002000002-2-200000002-2002-2000022-2-2−2i2i00−2i2i00−2i2i000000−2i2i000000000000−2i2i00000000
χ4322-2-222222-22-2-2-2-2-2022200002-22-2-20000-2-22-200-222i−2i00002000002-2-20000000-2200-220000-2-2222i−2i002i−2i00−2i2i0000002i−2i000000000000−2i2i00000000
χ4422-2-222222-22-2-2-2-2-2022200002-22-2-20000-2-22-200-22−2i2i00002000002-2-20000000-2200-220000-2-222−2i2i00−2i2i002i−2i000000−2i2i0000000000002i−2i00000000
χ4522-2-2-122-12-22-2-211-20-12-1−i3i300-1-2-111−i3−i3i3i3112-2002-22i−2i−i3−i3i3i3-10−i3i300-111−i3−i3i3i3000-11002-2−i3−i3i3i3-1-1112i−2i00−ii3−32i−2i000000−ii3−3000000003−3−ii00000000
χ4622-2-2-122-12-22-2-211-20-12-1−i3i300-1-2-111−i3−i3i3i3112-2002-2−2i2i−i3−i3i3i3-10−i3i300-111−i3−i3i3i3000-11002-2−i3−i3i3i3-1-111−2i2i00i−i−33−2i2i000000i−i−3300000000−33i−i00000000
χ4722-2-2-122-12-22-2-211-20-12-1−i3i300-1-2-111−i3−i3i3i3112-200-222i−2ii3i3−i3−i3-10−i3i300-111−i3−i3i3i30001-100-22i3i3−i3−i311-1-12i−2i00−ii3−3−2i2i000000−ii3−300000000−33i−i00000000
χ4822-2-2-122-12-22-2-211-20-12-1−i3i300-1-2-111−i3−i3i3i3112-200-22−2i2ii3i3−i3−i3-10−i3i300-111−i3−i3i3i30001-100-22i3i3−i3−i311-1-1−2i2i00i−i−332i−2i000000i−i−33000000003−3−ii00000000
χ4922-2-2-122-12-22-2-211-20-12-1i3−i300-1-2-111i3i3−i3−i3112-2002-22i−2ii3i3−i3−i3-10i3−i300-111i3i3−i3−i3000-11002-2i3i3−i3−i3-1-1112i−2i00−ii−332i−2i000000−ii−3300000000−33−ii00000000
χ5022-2-2-122-12-22-2-211-20-12-1i3−i300-1-2-111i3i3−i3−i3112-2002-2−2i2ii3i3−i3−i3-10i3−i300-111i3i3−i3−i3000-11002-2i3i3−i3−i3-1-111−2i2i00i−i3−3−2i2i000000i−i3−3000000003−3i−i00000000
χ5122-2-2-122-12-22-2-211-20-12-1i3−i300-1-2-111i3i3−i3−i3112-200-222i−2i−i3−i3i3i3-10i3−i300-111i3i3−i3−i30001-100-22−i3−i3i3i311-1-12i−2i00−ii−33−2i2i000000−ii−33000000003−3i−i00000000
χ5222-2-2-122-12-22-2-211-20-12-1i3−i300-1-2-111i3i3−i3−i3112-200-22−2i2i−i3−i3i3i3-10i3−i300-111i3i3−i3−i30001-100-22−i3−i3i3i311-1-1−2i2i00i−i3−32i−2i000000i−i3−300000000−33−ii00000000
χ532-2-22222-2-2-2-22-22-2202220000-2-2-22-200002-2-222-200002-22-2200000-22-20000000002-2002-22-2000000000000002-2000000000000000000002-22-20000
χ542-2-22222-2-2-2-22-22-2202220000-2-2-22-200002-2-222-200002-22-2200000-22-20000000002-2002-22-200000000000000-2200000000000000000000-22-220000
χ552-2-22222-2-2-2-22-22-2202220000-2-2-22-200002-2-22-220000-22-22200000-22-2000000000-2200-22-22000000000000002-2000000000000000000002-2-220000
χ562-2-22222-2-2-2-22-22-2202220000-2-2-22-200002-2-22-220000-22-22200000-22-2000000000-2200-22-2200000000000000-2200000000000000000000-222-20000
χ5744444-2-24-2-2-2-2-244-24-21-244-2-2-21-2-2-2-2-2-2-2-2-21100000000001-2-2-21111111114040000000000000000-2-200000000-2-20-2000011110000000000000000
χ5844444-2-24-2-2-2-2-244-24-21-244-2-2-21-2-2-2-2-2-2-2-2-21100000000001-2-2-2111111111-40-40000000000000000220000000022020000-1-1-1-10000000000000000
χ5944444-2-24-2-2-2-2-244-2-4-21-2-4-422-21-2-2-22222-2-21100000000001222-1-1111-1-1-1-140-40000000000000000-2-200000000-2202000011-1-10000000000000000
χ6044444-2-24-2-2-2-2-244-2-4-21-2-4-422-21-2-2-22222-2-21100000000001222-1-1111-1-1-1-1-404000000000000000022000000002-20-20000-1-1110000000000000000
χ614444-24-2-244-2-2-2-2-244-2-21-2-2-2-2-2-21111111-2-2-2-2444400-2-2-2-214-2-2-2-21111111000-2-2-2-2-2-2111111110000000000000000000000000000000000000000
χ624444-24-2-244-2-2-2-2-244-2-21-2-2-2-2-2-21111111-2-2-2-2-4-4-4-400222214-2-2-2-21111111000222222-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ634444-24-2-244-2-2-2-2-24-4-2-212222-2-2111-1-1-1-1-2-2-2-244-4-400-2-2-2-21-42222111-1-1-1-100022-2-2221111-1-1-1-10000000000000000000000000000000000000000
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χ654444-2-24-2-2-2444-2-2-241-2-2-2-2441-2-2-2-2-2-2-2-211-2-200004400001-211-2-2111111104000000000000000-2-200-2-2-2-2000000-20111100000000000000000000
χ664444-2-24-2-2-2444-2-2-241-2-2-2-2441-2-2-2-2-2-2-2-211-2-20000-4-400001-211-2-211111110-40000000000000002200222200000020-1-1-1-100000000000000000000
χ674444-2-24-2-2-2444-2-2-2-41-2-222-4-41-2-2-2-2222211-2-2000044000012-1-122111-1-1-1-10-4000000000000000-2-200-2-2220000002011-1-100000000000000000000
χ684444-2-24-2-2-2444-2-2-2-41-2-222-4-41-2-2-2-2222211-2-20000-4-4000012-1-122111-1-1-1-104000000000000000220022-2-2000000-20-1-11100000000000000000000
χ6944-4-444-244-4-222-4-4-404-2-2000042-2220000-4-4-22004-4000000-200000-22200000004-400-220000-2-2220000000000000000000000000000000000000000
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χ7144-4-44-244-224-4-4-4-420-2-240000-224-4-4000022-2200004i−4i0000-200000-222000000000000000000000−2i2i004i−4i0000000000−2i2i0000000000000000000000
χ7244-4-44-244-224-4-4-4-420-2-240000-224-4-4000022-220000−4i4i0000-200000-2220000000000000000000002i−2i00−4i4i00000000002i−2i0000000000000000000000
χ7344-4-4-24-2-24-4-22222-40-2-21−2i32i300-221-1-1i3i3−i3−i322-22004-400−2i3−2i32i32i310−2i32i3001-1-1i3i3−i3−i3000-2200-22i3i3−i3−i311-1-10000000000000000000000000000000000000000
χ7444-4-4-24-2-24-4-22222-40-2-21−2i32i300-221-1-1i3i3−i3−i322-2200-44002i32i3−2i3−2i310−2i32i3001-1-1i3i3−i3−i30002-2002-2−i3−i3i3i3-1-1110000000000000000000000000000000000000000
χ7544-4-4-24-2-24-4-22222-40-2-212i3−2i300-221-1-1−i3−i3i3i322-22004-4002i32i3−2i3−2i3102i3−2i3001-1-1−i3−i3i3i3000-2200-22−i3−i3i3i311-1-10000000000000000000000000000000000000000
χ7644-4-4-24-2-24-4-22222-40-2-212i3−2i300-221-1-1−i3−i3i3i322-2200-4400−2i3−2i32i32i3102i3−2i3001-1-1−i3−i3i3i30002-2002-2i3i3−i3−i3-1-1110000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).