Finite Group Databasebeta

← Group #13171920

Character table — Group #13171920

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order12222233366666666633366666666666666666662244446666366666666666224666666666666666612121212121212121212441212121266612121212121212444441212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11-11-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11-11-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11
χ51111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-11-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-11-1-11111-1-111-1-11
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
χ91111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-11111111-1-111111-1-1-1-1111-1-1-1-1-11-111-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-111-1-1111-1-111-1-11-11
χ101111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-11111111-1-111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1111-1-1111-1-11-111-1-1-1-111-11-1
χ111111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-111111-1-11111111-1-1-1-1111-1-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-111-1-1-111-1-1-1-111-1-1111-1-1
χ121111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-111111-1-11111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-1111-1-11111-1-1-111
χ131111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1111-1-1111111-11-1
χ141111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-11-1-111-1-111-1-1-1-11111111111-1-1-1-1111111-1-1-1111-1-111-111-1-1-1-111-1-1-1-11-11
χ151111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-1-1-11-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-11111-1-1-1-1-1-11111111111111-1-1-111-1-11-1-11-111-1-1-1-1-1-1-111
χ161111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-1-1-11-1-1-1-1111-1-1-1-11-11-1-111-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-1111111-1-1111-1-111111-1-1
χ1722222222-1222-1-1-12222-1-12222-1-12-1-1-1-1-1-1-1-1-122-12200002222-122-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-10022000000000000-1-1-1-10000-1-10202000000000-1-10
χ1822222222-1222-1-1-12222-1-12222-1-12-1-1-1-1-1-1-1-1-122-12200002222-122-1-1-1-1-1-1-1-1-12-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-100-2-200000000000011110000110-20-2000000000110
χ1922222222-1222-1-1-12222-1-12222-1-12-1-1-1-1-1-1-1-1-122-1-2-20000-2-2-2-2-122-1-1-1-1-1-1-1-1-1-22222-2-21111111111110022000000000000-1-1-1-10000-1-10-20-2000000000110
χ2022222222-1222-1-1-12222-1-12222-1-12-1-1-1-1-1-1-1-1-122-1-2-20000-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-211111111111100-2-200000000000011110000110202000000000-1-10
χ212222222-12-122222-1-12-12-122-1-122-122-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-122-1-1-1-1-1-1-120000-1-12222-1-1-1-1-1-1-1-12200-1-1-1-1220000000000-1-1-1-10020200-1-1-1-10000000
χ222222222-12-122222-1-12-12-122-1-122-122-1-1-1-1-1-1-1-1-1222-2-2-2-2-1-1-1-1-1-1-122-1-1-1-1-1-1-120000-1-12222-1-1-1-1-1-1-1-1-2-2001111-2-20000000000111100-20-20011110000000
χ232222222-12-122222-1-12-12-122-1-122-122-1-1-1-1-1-1-1-1-12-2-222221111-1-1-122-1-1-1-1-1-1-1-2000011-2-2-2-2111111112200-1-1-1-1220000000000-1-1-1-100-20-20011110000000
χ242222222-12-122222-1-12-12-122-1-122-122-1-1-1-1-1-1-1-1-12-2-2-2-2-2-21111-1-1-122-1-1-1-1-1-1-1-2000011-2-2-2-211111111-2-2001111-2-2000000000011110020200-1-1-1-10000000
χ25222222-1222-1-122222-1-1-12-1-12222-1-1-12222222-1-1-10022220000-1-1-1-1-1-1-1-1-1-1-1-1022-1-100000000000000-1-1-1-12222-1-122-1-1-1-12-1-12-1-1-1-1-1-1000020000-1-100000
χ26222222-1222-1-122222-1-1-12-1-12222-1-1-12222222-1-1-10022220000-1-1-1-1-1-1-1-1-1-1-1-10-2-21100000000000000-1-1112222-1-1-2-21111-211-2-1-1-1-1110000-200001100000
χ27222222-1222-1-122222-1-1-12-1-12222-1-1-12222222-1-1-100-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-1022-1-10000000000000011-1-1-2-2-2-211-2-211112-1-121111-1-10000-200001100000
χ28222222-1222-1-122222-1-1-12-1-12222-1-1-12222222-1-1-100-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-10-2-211000000000000001111-2-2-2-21122-1-1-1-1-211-2111111000020000-1-100000
χ292222-2-222-1222-1-1-12222-1-1-2-2-2-2112-1-1-1-1-1111122-12200002222-1-2-211-1-1-11111-22-222-2-2-1-111-1-1-1-1111100-2-2000000000000-1-1-11000011020-2000000000-110
χ302222-2-222-1222-1-1-12222-1-1-2-2-2-2112-1-1-1-1-1111122-12200002222-1-2-211-1-1-11111-2-22-2-2-2-2-1-111-1-1-1-111110022000000000000111-10000-1-10-2020000000001-10
χ312222-2-222-1222-1-1-12222-1-1-2-2-2-2112-1-1-1-1-1111122-1-2-20000-2-2-2-2-1-2-211-1-1-1111122-2222211-1-11111-1-1-1-100-2-2000000000000-1-1-110000110-2020000000001-10
χ322222-2-222-1222-1-1-12222-1-1-2-2-2-2112-1-1-1-1-1111122-1-2-20000-2-2-2-2-1-2-211-1-1-111112-22-2-22211-1-11111-1-1-1-10022000000000000111-10000-1-1020-2000000000-110
χ332222-2-22-12-122222-1-12-12-1-2-211-2-2-122-1-1-11111-1-122222-2-2-1-1-1-1-111-2-2-1-1-11111-200001122-2-2-1-1-1-111112200-1-111-2-20000000000-1-1110020-200-1-1110000000
χ342222-2-22-12-122222-1-12-12-1-2-211-2-2-122-1-1-11111-1-1222-2-222-1-1-1-1-111-2-2-1-1-11111-200001122-2-2-1-1-1-11111-2-20011-1-122000000000011-1-100-2020011-1-10000000
χ352222-2-22-12-122222-1-12-12-1-2-211-2-2-122-1-1-11111-1-12-2-222-2-21111-111-2-2-1-1-1111120000-1-1-2-2221111-1-1-1-12200-1-111-2-20000000000-1-11100-2020011-1-10000000
χ362222-2-22-12-122222-1-12-12-1-2-211-2-2-122-1-1-11111-1-12-2-2-2-2221111-111-2-2-1-1-1111120000-1-1-2-2221111-1-1-1-1-2-20011-1-122000000000011-1-10020-200-1-1110000000
χ372222-2-2-1222-1-122222-1-1-1211-2-2-2-2-1-1-1222-2-2-2-2-1-1-10022-2-20000-11111-1-1-1111102-2-1-100000000000000-1-11122-2-211-2-211112-1-1-2-1-11111000020000-1-100000
χ382222-2-2-1222-1-122222-1-1-1211-2-2-2-2-1-1-1222-2-2-2-2-1-1-10022-2-20000-11111-1-1-111110-221100000000000000-1-1-1-122-2-21122-1-1-1-1-2112-1-111-1-10000-200001100000
χ392222-2-2-1222-1-122222-1-1-1211-2-2-2-2-1-1-1222-2-2-2-2-1-1-100-2-2220000-11111-1-1-1111102-2-1-1000000000000001111-2-222-1-122-1-1-1-12-1-1-211-1-1110000-200001100000
χ402222-2-2-1222-1-122222-1-1-1211-2-2-2-2-1-1-1222-2-2-2-2-1-1-100-2-2220000-11111-1-1-111110-22110000000000000011-1-1-2-222-1-1-2-21111-211211-1-1-1-1000020000-1-100000
χ4122-2-200222-22-2-22-22-2-2222000000-22-22-2-200002-2-22-2000022-2-2200002-2-2000000000002-20022-2-2000000000000002i−2i2i2i−2i−2i0000000000000000000002i−2i000
χ4222-2-200222-22-2-22-22-2-2222000000-22-22-2-200002-2-22-2000022-2-2200002-2-2000000000002-20022-2-200000000000000−2i2i−2i−2i2i2i000000000000000000000−2i2i000
χ4322-2-200222-22-2-22-22-2-2222000000-22-22-2-200002-2-2-220000-2-222200002-2-200000000000-2200-2-222000000000000002i−2i2i2i−2i−2i000000000000000000000−2i2i000
χ4422-2-200222-22-2-22-22-2-2222000000-22-22-2-200002-2-2-220000-2-222200002-2-200000000000-2200-2-22200000000000000−2i2i−2i−2i2i2i0000000000000000000002i−2i000
χ452-2-222-22222-222-2-2-2-2-22222-22-22-22-2-2-22-222-2-2-2-22002i−2i2i−2i000022-22-2-22-222-2-200000000000000000002i−2i002i−2i2i−2i2i−2i00000000002i−2i2i−2i000000000000000000
χ462-2-222-22222-222-2-2-2-2-22222-22-22-22-2-2-22-222-2-2-2-2200−2i2i−2i2i000022-22-2-22-222-2-20000000000000000000−2i2i00−2i2i−2i2i−2i2i0000000000−2i2i−2i2i000000000000000000
χ472-2-222-22-12-1-222-2-211-2-12-12-2-112-2-1-2-21-11-1-111112002i−2i2i−2i−i3i3−i3i3-1-112-21-11-1-11100000−i3i30000−i3i3−i3i3−i3−i3i3i32i−2i00−ii−ii2i−2i0000000000−ii−ii00000003−33−30000000
χ482-2-222-22-12-1-222-2-211-2-12-12-2-112-2-1-2-21-11-1-111112002i−2i2i−2ii3−i3i3−i3-1-112-21-11-1-11100000i3−i30000i3−i3i3−i3i3i3−i3−i32i−2i00−ii−ii2i−2i0000000000−ii−ii0000000−33−330000000
χ492-2-222-22-12-1-222-2-211-2-12-12-2-112-2-1-2-21-11-1-11111200−2i2i−2i2i−i3i3−i3i3-1-112-21-11-1-11100000−i3i30000−i3i3−i3i3−i3−i3i3i3−2i2i00i−ii−i−2i2i0000000000i−ii−i0000000−33−330000000
χ502-2-222-22-12-1-222-2-211-2-12-12-2-112-2-1-2-21-11-1-11111200−2i2i−2i2ii3−i3i3−i3-1-112-21-11-1-11100000i3−i30000i3−i3i3−i3i3i3−i3−i3−2i2i00i−ii−i−2i2i0000000000i−ii−i00000003−33−30000000
χ512-2-222-2-12221-12-2-2-2-21-1-12-112-22-2-111-22-222-2-211-1002i−2i2i−2i0000-1-11-111-11-1-111000−i3i300000000000000−ii−i3i32i−2i2i−2i−ii003−33−30−i3i30−ii−ii−i3i30000000003−300000
χ522-2-222-2-12221-12-2-2-2-21-1-12-112-22-2-111-22-222-2-211-1002i−2i2i−2i0000-1-11-111-11-1-111000i3−i300000000000000−iii3−i32i−2i2i−2i−ii00−33−330i3−i30−ii−iii3−i3000000000−3300000
χ532-2-222-2-12221-12-2-2-2-21-1-12-112-22-2-111-22-222-2-211-100−2i2i−2i2i0000-1-11-111-11-1-111000−i3i300000000000000i−i−i3i3−2i2i−2i2ii−i00−33−330−i3i30i−ii−i−i3i3000000000−3300000
χ542-2-222-2-12221-12-2-2-2-21-1-12-112-22-2-111-22-222-2-211-100−2i2i−2i2i0000-1-11-111-11-1-111000i3−i300000000000000i−ii3−i3−2i2i−2i2ii−i003−33−30i3−i30i−ii−ii3−i30000000003−300000
χ552-2-22-222222-222-2-2-2-2-2222-22-22-222-2-2-22-2-2-222-2-22002i−2i−2i2i00002-22-22-22-2-2-22200000000000000000002i−2i002i−2i−2i2i−2i2i00000000002i−2i−2i2i000000000000000000
χ562-2-22-222222-222-2-2-2-2-2222-22-22-222-2-2-22-2-2-222-2-2200−2i2i2i−2i00002-22-22-22-2-2-2220000000000000000000−2i2i00−2i2i2i−2i2i−2i0000000000−2i2i2i−2i000000000000000000
χ572-2-22-222-12-1-222-2-211-2-12-1-221-1-22-1-2-21-1111-1-1112002i−2i−2i2i−i3i3−i3i3-11-1-221-1111-1-100000i3−i30000−i3i3−i3i3i3i3−i3−i32i−2i00−iii−i−2i2i0000000000−iii−i00000003−3−330000000
χ582-2-22-222-12-1-222-2-211-2-12-1-221-1-22-1-2-21-1111-1-1112002i−2i−2i2ii3−i3i3−i3-11-1-221-1111-1-100000−i3i30000i3−i3i3−i3−i3−i3i3i32i−2i00−iii−i−2i2i0000000000−iii−i0000000−333−30000000
χ592-2-22-222-12-1-222-2-211-2-12-1-221-1-22-1-2-21-1111-1-111200−2i2i2i−2i−i3i3−i3i3-11-1-221-1111-1-100000i3−i30000−i3i3−i3i3i3i3−i3−i3−2i2i00i−i−ii2i−2i0000000000i−i−ii0000000−333−30000000
χ602-2-22-222-12-1-222-2-211-2-12-1-221-1-22-1-2-21-1111-1-111200−2i2i2i−2ii3−i3i3−i3-11-1-221-1111-1-100000−i3i30000i3−i3i3−i3−i3−i3i3i3−2i2i00i−i−ii2i−2i0000000000i−i−ii00000003−3−330000000
χ612-2-22-22-12221-12-2-2-2-21-1-121-1-22-22-111-22-2-2-22211-1002i−2i−2i2i0000-11-11-11-1111-1-1000−i3i300000000000000−iii3−i32i−2i−2i2ii−i00−33−330−i3i30−iii−ii3−i30000000003−300000
χ622-2-22-22-12221-12-2-2-2-21-1-121-1-22-22-111-22-2-2-22211-1002i−2i−2i2i0000-11-11-11-1111-1-1000i3−i300000000000000−ii−i3i32i−2i−2i2ii−i003−33−30i3−i30−iii−i−i3i3000000000−3300000
χ632-2-22-22-12221-12-2-2-2-21-1-121-1-22-22-111-22-2-2-22211-100−2i2i2i−2i0000-11-11-11-1111-1-1000−i3i300000000000000i−ii3−i3−2i2i2i−2i−ii003−33−30−i3i30i−i−iii3−i3000000000−3300000
χ642-2-22-22-12221-12-2-2-2-21-1-121-1-22-22-111-22-2-2-22211-100−2i2i2i−2i0000-11-11-11-1111-1-1000i3−i300000000000000i−i−i3i3−2i2i2i−2i−ii00−33−330i3−i30i−i−ii−i3i30000000003−300000
χ654444444-2-2-244-2-2-2-2-24-2-2144-2-2-2-2-2-2-21111111-2-2-2440000-2-2-2-21-2-2-2-2111111140000-2-2-2-2-2-211111111000000000000000000000000000000000000000000
χ664444444-2-2-244-2-2-2-2-24-2-2144-2-2-2-2-2-2-21111111-2-2-2-4-4000022221-2-2-2-21111111-40000222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ67444444-24-24-2-2-2-2-244-2-21-2-2-244-2-2-211-2-2-2-2-2-2-2-2-2100000000001-2-2111111111044-2-20000000000000000-2-2000000000000-211-20000110000000000000000
χ68444444-24-24-2-2-2-2-244-2-21-2-2-244-2-2-211-2-2-2-2-2-2-2-2-2100000000001-2-21111111110-4-4220000000000000000220000000000002-1-120000-1-10000000000000000
χ69444444-2-24-2-2-2444-2-2-21-2-2-2-2-2-2441-2-2-2-2-2-2-2-2-211-20044440000111-2-211111110000000000000000000-2-200-2-2-2-2-2-200000000001111000000000000000000
χ70444444-2-24-2-2-2444-2-2-21-2-2-2-2-2-2441-2-2-2-2-2-2-2-2-211-200-4-4-4-40000111-2-21111111000000000000000000022002222220000000000-1-1-1-1000000000000000000
χ714444-4-44-2-2-244-2-2-2-2-24-2-21-4-42222-2-2-2111-1-1-1-1-2-2-2440000-2-2-2-212222111-1-1-1-1-4000022-2-2221111-1-1-1-1000000000000000000000000000000000000000000
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χ112888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-422222222222220000000000-12222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).