Finite Group Databasebeta

← Group #13171921

Character table — Group #13171921

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order122222333666666666333666666666666666666622444466663666666666662446666666666666612121212121212121212121244121212121212121212121212121224444121212121212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-11
χ51111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-11-1-1-1-1-111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-111111-1-111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-111111111-1-111111-1-1-1-1111-1-1-1-1-11-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11-111-1-111-1-111-11-111-1-111-1-11-11
χ101111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-111111111-1-111111-1-1-1-1111-1-1-1-1-1-11-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1111111-1111-1-1-1-111-111-1-111-1-1-1-111-11-1
χ111111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-1111111-1-11111111-1-1-1-1111-1-1-1-1-11-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1111111111-1-1-11111-1-11-1-1-11-1-111-1-1111-1-1
χ121111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-1111111-1-11111111-1-1-1-1111-1-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-11-1-111-1-111-1-1111-1-11111-1-1-111
χ131111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-11-1-1-1-1111-1-1-1-111-111-1-111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1111-1-1111111-11-1
χ141111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-1111-1-111-1-1-1-1111111-1-1-1-11111-1-1111111-1111-1-1-1-1111-1-1-11-1-111-1-1-1-11-11
χ151111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-11-1-1-1-1111-1-1-1-111-111-1-111-1-1-1-11111-1-11111-1-1-1-1111111111-1-1-11111-1-1-111-1-111-1-1-1-1-1-1-111
χ161111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-11-1-1-1-1111-1-1-1-11-1111-1-111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-11-1-111-1-11111-11-111-1-111111-1-1
χ1722222222-12-1-122-12222-1-12222-1-12-1-1-1-1-1-1-1-122-1-12200002222-122-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000-1-10000-1-1-1-12020000000000-1-10
χ1822222222-12-1-122-12222-1-12222-1-12-1-1-1-1-1-1-1-122-1-12200002222-122-1-1-1-1-1-1-1-1-12-2-222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000001100001111-20-20000000000110
χ1922222222-12-1-122-12222-1-12222-1-12-1-1-1-1-1-1-1-122-1-1-2-20000-2-2-2-2-122-1-1-1-1-1-1-1-1-1-222-2-2111111111111000022220000000000-1-10000-1-1-1-1-20-20000000000110
χ2022222222-12-1-122-12222-1-12222-1-12-1-1-1-1-1-1-1-122-1-1-2-20000-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2-2-2-2-21111111111110000-2-2-2-2000000000011000011112020000000000-1-10
χ212222222-12-122222-1-12-12-122-1-122-12-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1200-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-100000000-1-1-1-1000002002-1-1-1-10000000
χ222222222-12-122222-1-12-12-122-1-122-12-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-122-1-1-1-1-1-1-1200-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000111100000000111100000-200-211110000000
χ232222222-12-122222-1-12-12-122-1-122-12-1-1-1-1-1-1-1-1-122-2-222221111-1-1-122-1-1-1-1-1-1-1-20011-2-2-2-21111111122220000-1-1-1-100000000-1-1-1-100000-200-211110000000
χ242222222-12-122222-1-12-12-122-1-122-12-1-1-1-1-1-1-1-1-122-2-2-2-2-2-21111-1-1-122-1-1-1-1-1-1-1-20011-2-2-2-211111111-2-2-2-200001111000000001111000002002-1-1-1-10000000
χ25222222-122222-1-1222-1-1-12-1-12222-1-12222222-1-1-1-10022220000-1-1-1-1-1-1-1-1-1-1-1-102200000000000000-1-1-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1-1-1000200000-1-100000
χ26222222-122222-1-1222-1-1-12-1-12222-1-12222222-1-1-1-10022220000-1-1-1-1-1-1-1-1-1-1-1-10-2-200000000000000-1-1-1-111112222-2-21111-2-2-1-1-1-11111000-2000001100000
χ27222222-122222-1-1222-1-1-12-1-12222-1-12222222-1-1-1-100-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-1022000000000000001111-1-1-1-1-2-2-2-2-2-21111221111-1-1-1-1000-2000001100000
χ28222222-122222-1-1222-1-1-12-1-12222-1-12222222-1-1-1-100-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-10-2-20000000000000011111111-2-2-2-222-1-1-1-1-2-211111111000200000-1-100000
χ292222-2-222-12-1-122-12222-1-1-2-2-2-2112-1-1-1-1111122-1-12200002222-1-2-211-1-1-11111-22-2-2-2-1-111-1-1-1-11111000022-2-20000000000-110000-1-11120-20000000000-110
χ302222-2-222-12-1-122-12222-1-1-2-2-2-2112-1-1-1-1111122-1-12200002222-1-2-211-1-1-11111-2-22-2-2-1-111-1-1-1-111110000-2-22200000000001-1000011-1-1-20200000000001-10
χ312222-2-222-12-1-122-12222-1-1-2-2-2-2112-1-1-1-1111122-1-1-2-20000-2-2-2-2-1-2-211-1-1-1111122-22211-1-11111-1-1-1-1000022-2-20000000000-110000-1-111-20200000000001-10
χ322222-2-222-12-1-122-12222-1-1-2-2-2-2112-1-1-1-1111122-1-1-2-20000-2-2-2-2-1-2-211-1-1-111112-222211-1-11111-1-1-1-10000-2-22200000000001-1000011-1-120-20000000000-110
χ332222-2-22-12-122222-1-12-12-1-2-211-2-2-12-1-1-11111-1-1222222-2-2-1-1-1-1-111-2-2-1-1-11111-2001122-2-2-1-1-1-1111122-2-20000-1-11100000000-1-11100000200-2-1-1110000000
χ342222-2-22-12-122222-1-12-12-1-2-211-2-2-12-1-1-11111-1-12222-2-222-1-1-1-1-111-2-2-1-1-11111-2001122-2-2-1-1-1-11111-2-222000011-1-10000000011-1-100000-200211-1-10000000
χ352222-2-22-12-122222-1-12-12-1-2-211-2-2-12-1-1-11111-1-122-2-222-2-21111-111-2-2-1-1-11111200-1-1-2-2221111-1-1-1-122-2-20000-1-11100000000-1-11100000-200211-1-10000000
χ362222-2-22-12-122222-1-12-12-1-2-211-2-2-12-1-1-11111-1-122-2-2-2-2221111-111-2-2-1-1-11111200-1-1-2-2221111-1-1-1-1-2-222000011-1-10000000011-1-100000200-2-1-1110000000
χ372222-2-2-122222-1-1222-1-1-1211-2-2-2-2-1-1222-2-2-2-2-1-1-1-10022-2-20000-11111-1-1-1111102-200000000000000-1-111-1-11122-2-2-2-211112-2-1-111-1-111000200000-1-100000
χ382222-2-2-122222-1-1222-1-1-1211-2-2-2-2-1-1222-2-2-2-2-1-1-1-10022-2-20000-11111-1-1-111110-2200000000000000-1-11111-1-122-2-222-1-1-1-1-22-1-11111-1-1000-2000001100000
χ392222-2-2-122222-1-1222-1-1-1211-2-2-2-2-1-1222-2-2-2-2-1-1-1-100-2-2220000-11111-1-1-1111102-20000000000000011-1-1-1-111-2-22222-1-1-1-12-211-1-1-1-111000-2000001100000
χ402222-2-2-122222-1-1222-1-1-1211-2-2-2-2-1-1222-2-2-2-2-1-1-1-100-2-2220000-11111-1-1-111110-220000000000000011-1-111-1-1-2-222-2-21111-2211-1-111-1-1000200000-1-100000
χ4122-2-200222-22-22-2-22-2-2222000000-2-22-2-200002-22-22-2000022-2-2200002-2-20000000002-20022-2-200000000000000002i−2i2i2i−2i−2i0000000000000000000002i−2i000
χ4222-2-200222-22-22-2-22-2-2222000000-2-22-2-200002-22-22-2000022-2-2200002-2-20000000002-20022-2-20000000000000000−2i2i−2i−2i2i2i000000000000000000000−2i2i000
χ4322-2-200222-22-22-2-22-2-2222000000-2-22-2-200002-22-2-220000-2-222200002-2-2000000000-2200-2-22200000000000000002i−2i2i2i−2i−2i000000000000000000000−2i2i000
χ4422-2-200222-22-22-2-22-2-2222000000-2-22-2-200002-22-2-220000-2-222200002-2-2000000000-2200-2-2220000000000000000−2i2i−2i−2i2i2i0000000000000000000002i−2i000
χ452-22-22-22222-2-2-2-22-2-222222-22-22-222-22-222-2-2-2-2-2-2002i−2i2i−2i000022-22-2-22-222-2-2000000000000000002i−2i2i−2i00002i−2i2i−2i000000002i−2i2i−2i00000000000000000000
χ462-22-22-22222-2-2-2-22-2-222222-22-22-222-22-222-2-2-2-2-2-200−2i2i−2i2i000022-22-2-22-222-2-200000000000000000−2i2i−2i2i0000−2i2i−2i2i00000000−2i2i−2i2i00000000000000000000
χ472-22-22-22-12-1-2-2-2-22112-12-12-2-112-2-121-11-1-11111-2-2002i−2i2i−2i−i3i3−i3i3-1-112-21-11-1-111000−i3i30000−i3i3−i3i3−i3−i3i3i32i−2i2i−2i0000−ii−ii00000000−ii−ii0000000003−33−30000000
χ482-22-22-22-12-1-2-2-2-22112-12-12-2-112-2-121-11-1-11111-2-2002i−2i2i−2ii3−i3i3−i3-1-112-21-11-1-111000i3−i30000i3−i3i3−i3i3i3−i3−i32i−2i2i−2i0000−ii−ii00000000−ii−ii000000000−33−330000000
χ492-22-22-22-12-1-2-2-2-22112-12-12-2-112-2-121-11-1-11111-2-200−2i2i−2i2i−i3i3−i3i3-1-112-21-11-1-111000−i3i30000−i3i3−i3i3−i3−i3i3i3−2i2i−2i2i0000i−ii−i00000000i−ii−i000000000−33−330000000
χ502-22-22-22-12-1-2-2-2-22112-12-12-2-112-2-121-11-1-11111-2-200−2i2i−2i2ii3−i3i3−i3-1-112-21-11-1-111000i3−i30000i3−i3i3−i3i3i3−i3−i3−2i2i−2i2i0000i−ii−i00000000i−ii−i0000000003−33−30000000
χ512-22-22-2-1222-2-2112-2-2-1-1-12-112-22-2-1-1-22-222-2-21111002i−2i2i−2i0000-1-11-111-11-1-11100000000000000000−ii−ii3−33−32i−2i2i−2i00−i3i3−i3i300−ii−ii3−33−3000000000−i3i300000
χ522-22-22-2-1222-2-2112-2-2-1-1-12-112-22-2-1-1-22-222-2-21111002i−2i2i−2i0000-1-11-111-11-1-11100000000000000000−ii−ii−33−332i−2i2i−2i00i3−i3i3−i300−ii−ii−33−33000000000i3−i300000
χ532-22-22-2-1222-2-2112-2-2-1-1-12-112-22-2-1-1-22-222-2-2111100−2i2i−2i2i0000-1-11-111-11-1-11100000000000000000i−ii−i3−33−3−2i2i−2i2i00i3−i3i3−i300i−ii−i3−33−3000000000i3−i300000
χ542-22-22-2-1222-2-2112-2-2-1-1-12-112-22-2-1-1-22-222-2-2111100−2i2i−2i2i0000-1-11-111-11-1-11100000000000000000i−ii−i−33−33−2i2i−2i2i00−i3i3−i3i300i−ii−i−33−33000000000−i3i300000
χ552-22-2-222222-2-2-2-22-2-22222-22-22-2222-22-2-2-222-2-2-2-2002i−2i−2i2i00002-22-22-22-2-2-222000000000000000002i−2i−2i2i00002i−2i−2i2i000000002i−2i−2i2i00000000000000000000
χ562-22-2-222222-2-2-2-22-2-22222-22-22-2222-22-2-2-222-2-2-2-200−2i2i2i−2i00002-22-22-22-2-2-22200000000000000000−2i2i2i−2i0000−2i2i2i−2i00000000−2i2i2i−2i00000000000000000000
χ572-22-2-222-12-1-2-2-2-22112-12-1-221-1-22-121-1111-1-111-2-2002i−2i−2i2i−i3i3−i3i3-11-1-221-1111-1-1000i3−i30000−i3i3−i3i3i3i3−i3−i32i−2i−2i2i0000−iii−i00000000−iii−i0000000003−3−330000000
χ582-22-2-222-12-1-2-2-2-22112-12-1-221-1-22-121-1111-1-111-2-2002i−2i−2i2ii3−i3i3−i3-11-1-221-1111-1-1000−i3i30000i3−i3i3−i3−i3−i3i3i32i−2i−2i2i0000−iii−i00000000−iii−i000000000−333−30000000
χ592-22-2-222-12-1-2-2-2-22112-12-1-221-1-22-121-1111-1-111-2-200−2i2i2i−2i−i3i3−i3i3-11-1-221-1111-1-1000i3−i30000−i3i3−i3i3i3i3−i3−i3−2i2i2i−2i0000i−i−ii00000000i−i−ii000000000−333−30000000
χ602-22-2-222-12-1-2-2-2-22112-12-1-221-1-22-121-1111-1-111-2-200−2i2i2i−2ii3−i3i3−i3-11-1-221-1111-1-1000−i3i30000i3−i3i3−i3−i3−i3i3i3−2i2i2i−2i0000i−i−ii00000000i−i−ii0000000003−3−330000000
χ612-22-2-22-1222-2-2112-2-2-1-1-121-1-22-22-1-1-22-2-2-2221111002i−2i−2i2i0000-11-11-11-1111-1-100000000000000000−iii−i3−3−332i−2i−2i2i00i3−i3i3−i300−iii−i3−3−33000000000−i3i300000
χ622-22-2-22-1222-2-2112-2-2-1-1-121-1-22-22-1-1-22-2-2-2221111002i−2i−2i2i0000-11-11-11-1111-1-100000000000000000−iii−i−333−32i−2i−2i2i00−i3i3−i3i300−iii−i−333−3000000000i3−i300000
χ632-22-2-22-1222-2-2112-2-2-1-1-121-1-22-22-1-1-22-2-2-222111100−2i2i2i−2i0000-11-11-11-1111-1-100000000000000000i−i−ii3−3−33−2i2i2i−2i00−i3i3−i3i300i−i−ii3−3−33000000000i3−i300000
χ642-22-2-22-1222-2-2112-2-2-1-1-121-1-22-22-1-1-22-2-2-222111100−2i2i2i−2i0000-11-11-11-1111-1-100000000000000000i−i−ii−333−3−2i2i2i−2i00i3−i3i3−i300i−i−ii−333−3000000000−i3i300000
χ654444444-2-2-2-2-244-2-2-24-2-2144-2-2-2-2-2-21111111-2-2-2-2440000-2-2-2-21-2-2-2-21111111400-2-2-2-2-2-21111111100000000000000000000000000000000000000000000
χ664444444-2-2-2-2-244-2-2-24-2-2144-2-2-2-2-2-21111111-2-2-2-2-4-4000022221-2-2-2-21111111-400222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000
χ67444444-24-24-2-2-2-2-244-2-21-2-2-244-2-2-21-2-2-2-2-2-2-2-2-21100000000001-2-2111111111044000000000000000000-2-2-2-20000000000-2-2000011110000000000000000
χ68444444-24-24-2-2-2-2-244-2-21-2-2-244-2-2-21-2-2-2-2-2-2-2-2-21100000000001-2-21111111110-4-400000000000000000022220000000000220000-1-1-1-10000000000000000
χ69444444-2-24-244-2-24-2-2-21-2-2-2-2-2-2441-2-2-2-2-2-2-2-211-2-20044440000111-2-2111111100000000000000000-2-2-2-20000-2-2-2-200000000111100000000000000000000
χ70444444-2-24-244-2-24-2-2-21-2-2-2-2-2-2441-2-2-2-2-2-2-2-211-2-200-4-4-4-40000111-2-211111110000000000000000022220000222200000000-1-1-1-100000000000000000000
χ714444-4-44-2-2-2-2-244-2-2-24-2-21-4-42222-2-2111-1-1-1-1-2-2-2-2440000-2-2-2-212222111-1-1-1-1-40022-2-2221111-1-1-1-100000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).