Finite Group Databasebeta

← Group #13171914

Character table — Group #13171914

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order12223336666666662333666666666666666664444444412121212121212123666666666666441212121212121212121212121212121212121212121212124444121212121212121212122244661212121212121212624
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111111111111111111111-11111-1-1111111-1-1-1-11111111111-1-11-11111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111111111-11-1-1-1-1111111-1-1111111111111-1-111-11-1-1-1-11111-1-11-1-1-1-1-11111-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111111
χ51111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-11-1-1-1-1-1-1-1-1111-1-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-11-1-1-1-1-11111-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-11-1-1-1-111111-1-1-11111-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ91111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-111111111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-11-1
χ101111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1111-1-1-1-111-11-1-1-1-111-1-111-1-11-11
χ111111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-1-1-1111111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1111-111-1-111-1-1-1-11-11
χ121111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1111-1-1111-1-1-1-11111-11-1
χ131111111111111111-1111-1-1-1-11111-1-1-1-111111-1-1111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111-1-11-1-1111-1-1-1-11111-1-11
χ141111111111111111-1111-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1111-1-1-1-111111-111-1-111-1-1-1-111-1
χ151111111111111111-1111-1-1-1-11111-1-1-1-111111-1-111-1-111-1-1-1-111111-1-1-1-1-1111-1-1-1-11-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111111-1-1-11111-1-1-11-1-1-1-111-1-111-1-111-1
χ161111111111111111-1111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1111-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-111-1-111-1-11111-1-111-1-11
χ17222222-122-12-1-122222-1-122-1-12-1-1-1-1-1-1-122-1-1-1222222002222-1-1-1-1-1222-1-1-1-1-1-1-1-1-12022-1-10022-1-1-1-10000-1-1-1-1-1-1-1-1220020-1-1-1-100002000-1-1-1-1000000000
χ18222222-122-12-1-122222-1-122-1-12-1-1-1-1-1-1-122-1-1-12222-2-2002222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-20-2-2110022-1-1110000-1-1-1-1-1-1-1-1-2-200-2011110000-20001111000000000
χ19222222-122-12-1-122222-1-122-1-12-1-1-1-1-1-1-122-1-1-1-2-2-2-22200-2-2-2-21111-1222-1-1-1-1-1-1-1-1-12022-1-100-2-211-1-1000011111111-2-20020-1-1-1-10000-20001111000000000
χ20222222-122-12-1-122222-1-122-1-12-1-1-1-1-1-1-122-1-1-1-2-2-2-2-2-200-2-2-2-21111-1222-1-1-1-1-1-1-1-1-1-20-2-21100-2-211110000111111112200-20111100002000-1-1-1-1000000000
χ21222222-122-12-1-1222-22-1-1-2-2112-1-1-1111122-1-1-122-2-2220022221111-1-2-2-211-1-1-11111-20221100-2-2-1-1-1-10000-1-1-1-111112200-20-1-1110000-200011-1-1000000000
χ22222222-122-12-1-1222-22-1-1-2-2112-1-1-1111122-1-1-122-2-2-2-20022221111-1-2-2-211-1-1-1111120-2-2-1-100-2-2-1-1110000-1-1-1-11111-2-2002011-1-100002000-1-111000000000
χ23222222-122-12-1-1222-22-1-1-2-2112-1-1-1111122-1-1-1-2-2222200-2-2-2-2-1-1-1-1-1-2-2-211-1-1-11111-202211002211-1-100001111-1-1-1-1-2-200-20-1-11100002000-1-111000000000
χ24222222-122-12-1-1222-22-1-1-2-2112-1-1-1111122-1-1-1-2-222-2-200-2-2-2-2-1-1-1-1-1-2-2-211-1-1-1111120-2-2-1-10022111100001111-1-1-1-122002011-1-10000-200011-1-1000000000
χ2522222-12-1-1222222-12-12-12222-122-12222-1-1-1-120000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-10000222222000000000000-1-1-1-1-1-1-1-1-1-1020200000000-1-1-100
χ2622222-12-1-1222222-12-12-12222-122-12222-1-1-1-12000022-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-1-12211000022-2-2-2-2000000000000-11-1-1-1-111110-20-20000000011100
χ2722222-12-1-1222222-12-12-12222-122-12222-1-1-1-120000-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2211-2-2-1-10000-2-222220000000000001-11111-1-1-1-10-20-20000000011100
χ2822222-12-1-1222222-12-12-12222-122-12222-1-1-1-120000-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2110000-2-2-2-2-2-20000000000001111111111020200000000-1-1-100
χ2922222-12-1-1222222-1-2-12-1-2-2-2-2-122-1-2-2-2-2-1-1-1-120000222200000000-111111-1-1-11111-2-2-1-1-2-2-1-100002222-2-200000000000011-1-111-1-1110-20200000000-1-1100
χ3022222-12-1-1222222-1-2-12-1-2-2-2-2-122-1-2-2-2-2-1-1-1-12000022-2-200000000-111111-1-1-11111-22-1-1-2-211000022-2-2220000000000001-1-1-11111-1-1020-20000000011-100
χ3122222-12-1-1222222-1-2-12-1-2-2-2-2-122-1-2-2-2-2-1-1-1-120000-2-22200000000-111111-1-1-111112-21122-1-10000-2-222-2-2000000000000-1111-1-1-1-111020-20000000011-100
χ3222222-12-1-1222222-1-2-12-1-2-2-2-2-122-1-2-2-2-2-1-1-1-120000-2-2-2-200000000-111111-1-1-11111221122110000-2-2-2-222000000000000-1-111-1-111-1-10-20200000000-1-1100
χ332222-122222-122-1-122-1-12-1-122-1-1-12-1-1-1-1-1-122-122220022-1-1-1-12222-12-1-122-1-1-1-1-1-1-102000022-1-12200-1-1-1-1-1-1-1-1-1-1-1-10022020000-1-1-1-100200000-1-1-1-100000
χ342222-122222-122-1-122-1-12-1-122-1-1-12-1-1-1-1-1-122-1222200-2-2-1-1-1-12222-12-1-122-1-1-1-1-1-1-10-20000-2-2-1-122001111-1-1-1-1-1-1-1-100-2-20-20000111100-200000111100000
χ352222-122222-122-1-122-1-12-1-122-1-1-12-1-1-1-1-1-122-1-2-2-2-200221111-2-2-2-2-12-1-122-1-1-1-1-1-1-10200002211-2-200-1-1-1-11111111100-2-2020000-1-1-1-100-200000111100000
χ362222-122222-122-1-122-1-12-1-122-1-1-12-1-1-1-1-1-122-1-2-2-2-200-2-21111-2-2-2-2-12-1-122-1-1-1-1-1-1-10-20000-2-211-2-20011111111111100220-20000111100200000-1-1-1-100000
χ372222-122222-122-1-12-2-1-1211-2-2-1-1-121111-1-122-122-2-20022-1-1-1-1-2-2-2-2-1-211-2-2-1-1-111110-2000022112200-1-111-1-1-1-1111100-2-20-20000-1-11100200000-1-11100000
χ382222-122222-122-1-12-2-1-1211-2-2-1-1-121111-1-122-122-2-200-2-2-1-1-1-1-2-2-2-2-1-211-2-2-1-1-11111020000-2-211220011-1-1-1-1-1-11111002202000011-1-100-20000011-1-100000
χ392222-122222-122-1-12-2-1-1211-2-2-1-1-121111-1-122-1-2-222002211112222-1-211-2-2-1-1-111110-2000022-1-1-2-200-1-1111111-1-1-1-100220-20000-1-11100-20000011-1-100000
χ402222-122222-122-1-12-2-1-1211-2-2-1-1-121111-1-122-1-2-22200-2-211112222-1-211-2-2-1-1-11111020000-2-2-1-1-2-20011-1-11111-1-1-1-100-2-202000011-1-100200000-1-11100000
χ4122-2-22222-2-222-2-2-2-2022200002-2-2-20000-2-22-22002-2002i−2i000022-2-22000002-2-200000000002i−2i2-200002i−2i00000022-2-2002i−2i0000002i−2i0000000000002i−2i00000
χ4222-2-22222-2-222-2-2-2-2022200002-2-2-20000-2-22-22002-200−2i2i000022-2-22000002-2-20000000000−2i2i2-20000−2i2i00000022-2-200−2i2i000000−2i2i000000000000−2i2i00000
χ4322-2-22222-2-222-2-2-2-2022200002-2-2-20000-2-22-2200-22002i−2i0000-2-2222000002-2-200000000002i−2i-2200002i−2i000000-2-22200−2i2i0000002i−2i000000000000−2i2i00000
χ4422-2-22222-2-222-2-2-2-2022200002-2-2-20000-2-22-2200-2200−2i2i0000-2-2222000002-2-20000000000−2i2i-220000−2i2i000000-2-222002i−2i000000−2i2i0000000000002i−2i00000
χ4522-2-2-1222-2-2-12-211-20-1-12−i3i300-111-2−i3−i3i3i3112-2-1002-2002i−2i−i3−i3i3i322-2-2-10−i3i300-111−i3−i3i3i30000002i−2i-110000−ii3−3−i3−i3i3i3-1-111002i−2i000000−ii3−3000000003−3−ii00000
χ4622-2-2-1222-2-2-12-211-20-1-12−i3i300-111-2−i3−i3i3i3112-2-1002-200−2i2i−i3−i3i3i322-2-2-10−i3i300-111−i3−i3i3i3000000−2i2i-110000i−i−33−i3−i3i3i3-1-11100−2i2i000000i−i−3300000000−33i−i00000
χ4722-2-2-1222-2-2-12-211-20-1-12−i3i300-111-2−i3−i3i3i3112-2-100-22002i−2ii3i3−i3−i3-2-222-10−i3i300-111−i3−i3i3i30000002i−2i1-10000−ii3−3i3i3−i3−i311-1-100−2i2i000000−ii3−300000000−33i−i00000
χ4822-2-2-1222-2-2-12-211-20-1-12−i3i300-111-2−i3−i3i3i3112-2-100-2200−2i2ii3i3−i3−i3-2-222-10−i3i300-111−i3−i3i3i3000000−2i2i1-10000i−i−33i3i3−i3−i311-1-1002i−2i000000i−i−33000000003−3−ii00000
χ4922-2-2-1222-2-2-12-211-20-1-12i3−i300-111-2i3i3−i3−i3112-2-1002-2002i−2ii3i3−i3−i322-2-2-10i3−i300-111i3i3−i3−i30000002i−2i-110000−ii−33i3i3−i3−i3-1-111002i−2i000000−ii−3300000000−33−ii00000
χ5022-2-2-1222-2-2-12-211-20-1-12i3−i300-111-2i3i3−i3−i3112-2-1002-200−2i2ii3i3−i3−i322-2-2-10i3−i300-111i3i3−i3−i3000000−2i2i-110000i−i3−3i3i3−i3−i3-1-11100−2i2i000000i−i3−3000000003−3i−i00000
χ5122-2-2-1222-2-2-12-211-20-1-12i3−i300-111-2i3i3−i3−i3112-2-100-22002i−2i−i3−i3i3i3-2-222-10i3−i300-111i3i3−i3−i30000002i−2i1-10000−ii−33−i3−i3i3i311-1-100−2i2i000000−ii−33000000003−3i−i00000
χ5222-2-2-1222-2-2-12-211-20-1-12i3−i300-111-2i3i3−i3−i3112-2-100-2200−2i2i−i3−i3i3i3-2-222-10i3−i300-111i3i3−i3−i3000000−2i2i1-10000i−i3−3−i3−i3i3i311-1-1002i−2i000000i−i3−300000000−33−ii00000
χ532-22-2222-22-2-2-222-2-202220000-22-2200002-2-2-2-22i−2i002i−2i002i−2i2i−2i0000200000-22-20000002i−2i0000002i−2i2i−2i00002i−2i2i−2i00002-200002i−2i0000000000002-2000000000
χ542-22-2222-22-2-2-222-2-202220000-22-2200002-2-2-2-22i−2i00−2i2i002i−2i2i−2i0000200000-22-2000000−2i2i0000002i−2i−2i2i00002i−2i2i−2i0000-220000−2i2i000000000000-22000000000
χ552-22-2222-22-2-2-222-2-202220000-22-2200002-2-2-2-2−2i2i002i−2i00−2i2i−2i2i0000200000-22-20000002i−2i000000−2i2i2i−2i0000−2i2i−2i2i0000-2200002i−2i000000000000-22000000000
χ562-22-2222-22-2-2-222-2-202220000-22-2200002-2-2-2-2−2i2i00−2i2i00−2i2i−2i2i0000200000-22-2000000−2i2i000000−2i2i−2i2i0000−2i2i−2i2i00002-20000−2i2i0000000000002-2000000000
χ572-22-222-1-221-21-12-2-202-1-100−i3i3-2-11-1−i3i3−i3i32-21112i−2i002i−2i002i−2i2i−2i3−33−3-1000−i3i31-11−i3i3−i3i3002i−2i3−30000−ii−ii0000−ii−ii3−33−32-20000−ii3−300000000−i3i3-11000000000
χ582-22-222-1-221-21-12-2-202-1-100−i3i3-2-11-1−i3i3−i3i32-21112i−2i00−2i2i002i−2i2i−2i3−33−3-1000−i3i31-11−i3i3−i3i300−2i2i−330000−iii−i0000−ii−ii3−33−3-220000i−i−3300000000i3−i31-1000000000
χ592-22-222-1-221-21-12-2-202-1-100−i3i3-2-11-1−i3i3−i3i32-2111−2i2i002i−2i00−2i2i−2i2i−33−33-1000−i3i31-11−i3i3−i3i3002i−2i3−30000i−i−ii0000i−ii−i−33−33-220000−ii3−300000000i3−i31-1000000000
χ602-22-222-1-221-21-12-2-202-1-100−i3i3-2-11-1−i3i3−i3i32-2111−2i2i00−2i2i00−2i2i−2i2i−33−33-1000−i3i31-11−i3i3−i3i300−2i2i−330000i−ii−i0000i−ii−i−33−332-20000i−i−3300000000−i3i3-11000000000
χ612-22-222-1-221-21-12-2-202-1-100i3−i3-2-11-1i3−i3i3−i32-21112i−2i002i−2i002i−2i2i−2i−33−33-1000i3−i31-11i3−i3i3−i3002i−2i−330000−ii−ii0000−ii−ii−33−332-20000−ii−3300000000i3−i3-11000000000
χ622-22-222-1-221-21-12-2-202-1-100i3−i3-2-11-1i3−i3i3−i32-21112i−2i00−2i2i002i−2i2i−2i−33−33-1000i3−i31-11i3−i3i3−i300−2i2i3−30000−iii−i0000−ii−ii−33−33-220000i−i3−300000000−i3i31-1000000000
χ632-22-222-1-221-21-12-2-202-1-100i3−i3-2-11-1i3−i3i3−i32-2111−2i2i002i−2i00−2i2i−2i2i3−33−3-1000i3−i31-11i3−i3i3−i3002i−2i−330000i−i−ii0000i−ii−i3−33−3-220000−ii−3300000000−i3i31-1000000000
χ642-22-222-1-221-21-12-2-202-1-100i3−i3-2-11-1i3−i3i3−i32-2111−2i2i00−2i2i00−2i2i−2i2i3−33−3-1000i3−i31-11i3−i3i3−i300−2i2i3−30000i−ii−i0000i−ii−i3−33−32-20000i−i3−300000000i3−i3-11000000000
χ6544444-2-2-2-2-24-2-244-24-2-2144-2-2-2-2-21-2-2-2-2-2-211-200004400000000001-2-2-211111111140-2-2-2-2000000-2-20000000000000000-201111000000000000000000000
χ6644444-2-2-2-2-24-2-244-24-2-2144-2-2-2-2-21-2-2-2-2-2-211-20000-4-400000000001-2-2-2111111111-40222200000022000000000000000020-1-1-1-1000000000000000000000
χ6744444-2-2-2-2-24-2-244-2-4-2-21-4-422-2-2-212222-2-211-200004400000000001222-1-1111-1-1-1-1-40-2-222000000-2-200000000000000002011-1-1000000000000000000000
χ6844444-2-2-2-2-24-2-244-2-4-2-21-4-422-2-2-212222-2-211-20000-4-400000000001222-1-1111-1-1-1-14022-2-2000000220000000000000000-20-1-111000000000000000000000
χ694444-24-244-2-2-2-2-2-244-21-2-2-2-2-2-211-21111-2-2-2-2144440000-2-2-2-2-2-2-2-214-2-2-2-2111111100000000-2-2-2-2000000111111110000000000000000000000000000000
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χ1238-8-88-4-4-444-44444-4-402220000-2-22-2-666-6-22-22-20000000000000000-10000011-13-3-33000000000000000000000000000000000000000000000000000000000

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