Finite Group Databasebeta

← Group #13172020

Character table — Group #13172020

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order122233366666666623336666666666666666622444444121212121212121236666666666662466666612121212121212121212121212121212121244446666612121212124444121212121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111111111-1111-1-11111-1-1-1-111111111111111-1-1-111-1-1111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1111-1-1-1-11-1-1-111-1-1-1-111-111
χ51111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-111-1-1-1-11111111111111111-1-1111-1-111-1-1-111-1-11-1-1-111-1-1-1-111-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-1-111-1-1-1111-1-1-1-111-1-1-111
χ71111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1111
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
χ91111111111111111-1111-1-1-1-111-1-1-1-11111111111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-1111111-1-11111-1-1-1-111-1-1-111-1-1-1-1-1111-11-1111111-1-1-1-1-11-1
χ101111111111111111-1111-1-1-1-111-1-1-1-111111111111-1-111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-11111-1-111-111-1-1-1-1-1111-1-11-1-1-1-1111111-1-11
χ111111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1111111-1-1-1-1-1-111-1-11111-1-1-1-1111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1111-11
χ121111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1111-1-1-1-11-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1111-1-111-1-111-1-111-1
χ131111111111111111-1111-1-1-1-111-1-1-1-11111111-1-11111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111-1-111-1-111-1-11-11
χ141111111111111111-1111-1-1-1-111-1-1-1-11111111-1-111-1-111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-111111-11-1-111-1-1-1-1-1-11111-1
χ151111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1111-1-111111-1-11-1-11-1-1-1-1111111-11-1
χ161111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1111-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-11-1-111111-1-11-11-1111111-1-1-1-1-1-11
χ17222222-1-12222-1-12222-1-12222222222-1-1-1-1-1-122222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-12222-1-10000000000000000-1-1-1-1-1-1-1-1-1-122000000-1-10000-100
χ18222222-1-12222-1-12222-1-12222222222-1-1-1-1-1-1222-2-2000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2222-2-2-1-122-2-21100000000000000001-1-111-1-1-111-2-2000000110000100
χ19222222-1-12222-1-12222-1-12222222222-1-1-1-1-1-12-2-222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-22211-2-222-1-10000000000000000-111-1-1111-1-1-2-2000000110000100
χ20222222-1-12222-1-12222-1-12222222222-1-1-1-1-1-12-2-2-2-2000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211-2-2-2-2110000000000000000111111111122000000-1-10000-100
χ21222222-1-12222-1-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-122222000000000000-111111-1-1-11111-2-222-2-2-1-1-2-222-1-100000000000000001-1-111111-1-12-2000000-1-10000100
χ22222222-1-12222-1-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1222-2-2000000000000-111111-1-1-111112-22222-1-1-2-2-2-2110000000000000000-1-1-1-1-111111-22000000110000-100
χ23222222-1-12222-1-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-12-2-222000000000000-111111-1-1-11111-22-2-2-2-2112222-1-1000000000000000011111-1-1-1-1-1-22000000110000-100
χ24222222-1-12222-1-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-12-2-2-2-2000000000000-111111-1-1-1111122-2-2221122-2-2110000000000000000-111-1-1-1-1-1112-2000000-1-10000100
χ2522222-1222-12-1222-12-12-122-1-1-1-1-1-1-1-122-1-12-1-100222222-1-1-1-12222-1222-1-1-1-1-1-1-1-1-12000-1-10000-1-12222-1-1-1-1-1-1-1-1-1-10022200-1-1000-1-1002000-1-10000-1-1000
χ2622222-1222-12-1222-12-12-122-1-1-1-1-1-1-1-122-1-12-1-10022-2-2-2-21111-2-2-2-2-1222-1-1-1-1-1-1-1-1-12000-1-10000-1-122-2-2111111111100-2-2200-1-1000-1-100-200011000011000
χ2722222-1222-12-1222-12-12-122-1-1-1-1-1-1-1-122-1-12-1-100-2-22222-1-1-1-12222-1222-1-1-1-1-1-1-1-1-1-200011000011-2-222-1-1-1-1-1-1-1-1-1-100-2-2-200110001100-200011000011000
χ2822222-1222-12-1222-12-12-122-1-1-1-1-1-1-1-122-1-12-1-100-2-2-2-2-2-21111-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-200011000011-2-2-2-211111111110022-2001100011002000-1-10000-1-1000
χ2922222-1222-12-1222-1-2-12-1-2-211-1-1111122-1-12-1-1002222-2-2-1-1-1-1-2-2-2-2-1-2-2-211-1-1-11111-2000110000-1-1222211-1-1-1-1111100-2-2-20011000-1-1002000-1-1000011000
χ3022222-1222-12-1222-1-2-12-1-2-211-1-1111122-1-12-1-10022-2-22211112222-1-2-2-211-1-1-11111-2000110000-1-122-2-2-1-11111-1-1-1-10022-20011000-1-100-2000110000-1-1000
χ3122222-1222-12-1222-1-2-12-1-2-211-1-1111122-1-12-1-100-2-222-2-2-1-1-1-1-2-2-2-2-1-2-2-211-1-1-111112000-1-1000011-2-22211-1-1-1-111110022200-1-10001100-2000110000-1-1000
χ3222222-1222-12-1222-1-2-12-1-2-211-1-1111122-1-12-1-100-2-2-2-22211112222-1-2-2-211-1-1-111112000-1-1000011-2-2-2-2-1-11111-1-1-1-100-2-2200-1-100011002000-1-1000011000
χ332222-1222-12-1222-122-1-12-1-122-1-1-1-1-1-1-1-122-12-1220022222222-1-1-1-1-12-1-122-1-1-1-1-1-1-102-1-10022-1-10000-1-122-1-1-1-1-1-1-1-122000-1-1002-1-1000002-1-10000-1-100000
χ342222-1222-12-1222-122-1-12-1-122-1-1-1-1-1-1-1-122-12-12200-2-2-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-102-1-10022-1-1000011-2-211111111-2-2000-1-1002-1-100000-21100001100000
χ352222-1222-12-1222-122-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-20022222222-1-1-1-1-12-1-122-1-1-1-1-1-1-10-21100-2-2110000-1-122-1-1-1-1-1-1-1-1-2-20001100-21100000-21100001100000
χ362222-1222-12-1222-122-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-200-2-2-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-10-21100-2-211000011-2-211111111220001100-211000002-1-10000-1-100000
χ372222-1222-12-1222-12-2-1-1211-2-2-1-11111-1-122-12-1220022-2-222221111-1-211-2-2-1-1-111110-2-1-10022110000-1-1-2-2-1-1-1-1111122000-1-100-21100000-2-1-100001100000
χ382222-1222-12-1222-12-2-1-1211-2-2-1-11111-1-122-12-12200-2-222-2-2-2-2-1-1-1-1-1-211-2-2-1-1-111110-2-1-1002211000011221111-1-1-1-1-2-2000-1-100-211000002110000-1-100000
χ392222-1222-12-1222-12-2-1-1211-2-2-1-11111-1-122-12-1-2-20022-2-222221111-1-211-2-2-1-1-11111021100-2-2-1-10000-1-1-2-2-1-1-1-11111-2-200011002-1-1000002110000-1-100000
χ402222-1222-12-1222-12-2-1-1211-2-2-1-11111-1-122-12-1-2-200-2-222-2-2-2-2-1-1-1-1-1-211-2-2-1-1-11111021100-2-2-1-1000011221111-1-1-1-12200011002-1-100000-2-1-100001100000
χ4122-2-2222-22-2-222-2-2-2022200002-20000-2-22-22-2-22-2002i−2i002i2i−2i−2i00002000002-2-20000002-2002-20000002i−2i002i2i−2i−2i00002i−2i0002-2000000000002i−2i00000000000
χ4222-2-2222-22-2-222-2-2-2022200002-20000-2-22-22-2-22-200−2i2i00−2i−2i2i2i00002000002-2-20000002-2002-2000000−2i2i00−2i−2i2i2i0000−2i2i0002-200000000000−2i2i00000000000
χ4322-2-2222-22-2-222-2-2-2022200002-20000-2-22-22-2-2-22002i−2i002i2i−2i−2i00002000002-2-2000000-2200-220000002i−2i002i2i−2i−2i0000−2i2i000-2200000000000−2i2i00000000000
χ4422-2-2222-22-2-222-2-2-2022200002-20000-2-22-22-2-2-2200−2i2i00−2i−2i2i2i00002000002-2-2000000-2200-22000000−2i2i00−2i−2i2i2i00002i−2i000-22000000000002i−2i00000000000
χ4522-2-2-122-2-1-2122-21-20-1-12−i3i300-11−i3−i3i3i3112-2-1-212-2002i−2i002i2i−2i−2i33−3−3-10−i3i300-111−i3−i3i3i300-11002-2−i3i30000−ii00−i−iii33−3−32i−2i000-11000−i3i3000000−ii00003−300000
χ4622-2-2-122-2-1-2122-21-20-1-12−i3i300-11−i3−i3i3i3112-2-1-212-200−2i2i00−2i−2i2i2i−3−333-10−i3i300-111−i3−i3i3i300-11002-2−i3i30000i−i00ii−i−i−3−333−2i2i000-11000−i3i3000000i−i0000−3300000
χ4722-2-2-122-2-1-2122-21-20-1-12−i3i300-11−i3−i3i3i3112-2-1-21-22002i−2i002i2i−2i−2i33−3−3-10−i3i300-111−i3−i3i3i3001-100-22i3−i30000−ii00−i−iii33−3−3−2i2i0001-1000i3−i3000000i−i0000−3300000
χ4822-2-2-122-2-1-2122-21-20-1-12−i3i300-11−i3−i3i3i3112-2-1-21-2200−2i2i00−2i−2i2i2i−3−333-10−i3i300-111−i3−i3i3i3001-100-22i3−i30000i−i00ii−i−i−3−3332i−2i0001-1000i3−i3000000−ii00003−300000
χ4922-2-2-122-2-1-2122-21-20-1-12i3−i300-11i3i3−i3−i3112-2-1-212-2002i−2i002i2i−2i−2i−3−333-10i3−i300-111i3i3−i3−i300-11002-2i3−i30000−ii00−i−iii−3−3332i−2i000-11000i3−i3000000−ii0000−3300000
χ5022-2-2-122-2-1-2122-21-20-1-12i3−i300-11i3i3−i3−i3112-2-1-212-200−2i2i00−2i−2i2i2i33−3−3-10i3−i300-111i3i3−i3−i300-11002-2i3−i30000i−i00ii−i−i33−3−3−2i2i000-11000i3−i3000000i−i00003−300000
χ5122-2-2-122-2-1-2122-21-20-1-12i3−i300-11i3i3−i3−i3112-2-1-21-22002i−2i002i2i−2i−2i−3−333-10i3−i300-111i3i3−i3−i3001-100-22−i3i30000−ii00−i−iii−3−333−2i2i0001-1000−i3i3000000i−i00003−300000
χ5222-2-2-122-2-1-2122-21-20-1-12i3−i300-11i3i3−i3−i3112-2-1-21-2200−2i2i00−2i−2i2i2i33−3−3-10i3−i300-111i3i3−i3−i3001-100-22−i3i30000i−i00ii−i−i33−3−32i−2i0001-1000−i3i3000000−ii0000−3300000
χ532-22-2222-2-222-2-22-2-202220000-2200002-2-2-2-22-2002-2002i−2i00002i−2i2i−2i200000-22-2000000000000002-22-2002i−2i00002i−2i2i−2i002i−2i000000002-20000000000002i−2i000
χ542-22-2222-2-222-2-22-2-202220000-2200002-2-2-2-22-2002-200−2i2i0000−2i2i−2i2i200000-22-2000000000000002-22-200−2i2i0000−2i2i−2i2i00−2i2i000000002-2000000000000−2i2i000
χ552-22-2222-2-222-2-22-2-202220000-2200002-2-2-2-22-200-22002i−2i00002i−2i2i−2i200000-22-200000000000000-22-22002i−2i00002i−2i2i−2i00−2i2i00000000-22000000000000−2i2i000
χ562-22-2222-2-222-2-22-2-202220000-2200002-2-2-2-22-200-2200−2i2i0000−2i2i−2i2i200000-22-200000000000000-22-2200−2i2i0000−2i2i−2i2i002i−2i00000000-220000000000002i−2i000
χ572-22-22-12-2-2-121-22-210-12-100−i3i31-1−i3i3−i3i32-211-2-11002-2002i−2i3−33−32i−2i2i−2i-1000−i3i31-11−i3i3−i3i30000−i3i30000-112-200−ii3−33−3−ii−ii002i−2i000−i3i3000-110000003−30000−ii000
χ582-22-22-12-2-2-121-22-210-12-100−i3i31-1−i3i3−i3i32-211-2-11002-200−2i2i−33−33−2i2i−2i2i-1000−i3i31-11−i3i3−i3i30000−i3i30000-112-200i−i−33−33i−ii−i00−2i2i000−i3i3000-11000000−330000i−i000
χ592-22-22-12-2-2-121-22-210-12-100−i3i31-1−i3i3−i3i32-211-2-1100-22002i−2i3−33−32i−2i2i−2i-1000−i3i31-11−i3i3−i3i30000i3−i300001-1-2200−ii3−33−3−ii−ii00−2i2i000i3−i30001-1000000−330000i−i000
χ602-22-22-12-2-2-121-22-210-12-100−i3i31-1−i3i3−i3i32-211-2-1100-2200−2i2i−33−33−2i2i−2i2i-1000−i3i31-11−i3i3−i3i30000i3−i300001-1-2200i−i−33−33i−ii−i002i−2i000i3−i30001-10000003−30000−ii000
χ612-22-22-12-2-2-121-22-210-12-100i3−i31-1i3−i3i3−i32-211-2-11002-2002i−2i−33−332i−2i2i−2i-1000i3−i31-11i3−i3i3−i30000i3−i30000-112-200−ii−33−33−ii−ii002i−2i000i3−i3000-11000000−330000−ii000
χ622-22-22-12-2-2-121-22-210-12-100i3−i31-1i3−i3i3−i32-211-2-11002-200−2i2i3−33−3−2i2i−2i2i-1000i3−i31-11i3−i3i3−i30000i3−i30000-112-200i−i3−33−3i−ii−i00−2i2i000i3−i3000-110000003−30000i−i000
χ632-22-22-12-2-2-121-22-210-12-100i3−i31-1i3−i3i3−i32-211-2-1100-22002i−2i−33−332i−2i2i−2i-1000i3−i31-11i3−i3i3−i30000−i3i300001-1-2200−ii−33−33−ii−ii00−2i2i000−i3i30001-10000003−30000i−i000
χ642-22-22-12-2-2-121-22-210-12-100i3−i31-1i3−i3i3−i32-211-2-1100-2200−2i2i3−33−3−2i2i−2i2i-1000i3−i31-11i3−i3i3−i30000−i3i300001-1-2200i−i3−33−3i−ii−i002i−2i000−i3i30001-1000000−330000−ii000
χ6544444-2-2-24-24-2-2-24-24-2-2144-2-2-2-2-2-2-2-2-2-211-21-200440000000000001-2-2-21111111114000-2-20000-2-2-2-20000000000000000-200110001100000000000000000
χ6644444-2-2-24-24-2-2-24-24-2-2144-2-2-2-2-2-2-2-2-2-211-21-200-4-40000000000001-2-2-2111111111-400022000022220000000000000000200-1-1000-1-100000000000000000
χ6744444-2-2-24-24-2-2-24-2-4-2-21-4-422-2-22222-2-211-21-200440000000000001222-1-1111-1-1-1-1-4000220000-2-2-2-20000000000000000200-1-10001100000000000000000
χ6844444-2-2-24-24-2-2-24-2-4-2-21-4-422-2-22222-2-211-21-200-4-40000000000001222-1-1111-1-1-1-14000-2-2000022220000000000000000-20011000-1-100000000000000000
χ694444-24-2-2-24-24-2-2-244-21-2-2-244-2-2-2-2-2-211-2-21-2-244000000000000001-211-2-2111111104-2-200-2-2-2-20000000000000000000001100-2110000000000000000000
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Here i is the imaginary unit (i² = −1).