Finite Group Databasebeta

← Group #13171959

Character table — Group #13171959

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order122222333666666666333666666666666666666644444412121212366666666666444121212121212121212121212121212121212121212121212121222666612121212121212121212224446612121212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-1-1-1111111111111-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-111-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111-1-111-1-11111111111111111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-11-11-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-111-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-11-1-1111111-1-11
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
χ91111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1111111111-1-111111-1-1-1-1111-1-1-1-1-11-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111111-111-1-111-1-1-1-1-111-1-111-1-111-11-1
χ101111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1111111111-1-111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-111111-1-1-1-11-11
χ111111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-111-111-1-11111-1-111-1-1-1-111-1-1-1-111111111111-111-1-111-1-1-111-1-1-1-1-1-111-1-11-11
χ121111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-1111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-1111-111-111-1-11111-11-1
χ131111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-1111111111-1-1-1-1111-1-1-1-1-11-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-11-111-111-1-111-1-1-111
χ141111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-1111111111-1-1-1-1111-1-1-1-1-1-11-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1111111-11-1-111-1-111-111-1-1-1-1-1-111111-1-1
χ151111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111-1-1-1-11-1-1-1-1111-1-1-1-111-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-11111-1-111-1-111111-1-1111-1-1
χ161111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111-1-1-1-11-1-1-1-1111-1-1-1-11-11-1-11111-1-111-1-111-1-111-1-1-1-11111111111-11-1-111-1-111-1-1-111-1-111-1-1-1-1-111
χ1722222222-1-1222-1-12222-1-12222-1-122-1-12222-1-1-1-122200220000-1-1-1-1-1-1-1-1-1-1-1-1022-1-1-1-100-1-1-1-1222200000000000022-1-1-1-122-1-1-1-1-1-1-1-120000-1-1000000000
χ1822222222-1-1222-1-12222-1-12222-1-122-1-12222-1-1-1-122200220000-1-1-1-1-1-1-1-1-1-1-1-10-2-2-1-1-1-10011112222000000000000-2-21111-2-2-1-1-1-11111-2000011000000000
χ1922222222-1-1222-1-12222-1-12222-1-122-1-12222-1-1-1-12-2-200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1022111100-1-1-1-1-2-2-2-2000000000000-2-21111221111-1-1-1-1-2000011000000000
χ2022222222-1-1222-1-12222-1-12222-1-122-1-12222-1-1-1-12-2-200-2-20000-1-1-1-1-1-1-1-1-1-1-1-10-2-21111001111-2-2-2-200000000000022-1-1-1-1-2-21111111120000-1-1000000000
χ212222222-122-1-122222-1-12-122-1-122-1-12-1-1-1-1-122-1-1-10022002222-122-1-1-1-1-1-1-1-1-122200002222220000-1-1-1-1-1-1-1-1-1-1-1-1000000-1-10000-1-1-1-10202000000000-1-10
χ222222222-122-1-122222-1-12-122-1-122-1-12-1-1-1-1-122-1-1-10022002222-122-1-1-1-1-1-1-1-1-12-2-2000022-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-100000011000011110-20-2000000000110
χ232222222-122-1-122222-1-12-122-1-122-1-12-1-1-1-1-122-1-1-100-2-200-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2220000-2-222220000111111111111000000-1-10000-1-1-1-10-20-2000000000110
χ242222222-122-1-122222-1-12-122-1-122-1-12-1-1-1-1-122-1-1-100-2-200-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2-2-20000-2-2-2-2-2-2000011111111111100000011000011110202000000000-1-10
χ25222222-122222-122-1-12-1-12-1-12222-1-1-12-1-1-1-1-1-122-1222222-1-1-1-1-1-1-122-1-1-1-1-1-1-12002222-1-10000-1-1-1-12222-1-1-1-1-1-1-1-100000000-1-1-1-100000020200-1-1-1-100000
χ26222222-122222-122-1-12-1-12-1-12222-1-1-12-1-1-1-1-1-122-122-2-2221111-1-1-122-1-1-1-1-1-1-1-2002222110000-1-1-1-1-2-2-2-21111111100000000-1-1-1-1000000-20-200111100000
χ27222222-122222-122-1-12-1-12-1-12222-1-1-12-1-1-1-1-1-122-1-2-222-2-2-1-1-1-1-1-1-122-1-1-1-1-1-1-1200-2-2-2-2-1-1000011112222-1-1-1-1-1-1-1-1000000001111000000-20-200111100000
χ28222222-122222-122-1-12-1-12-1-12222-1-1-12-1-1-1-1-1-122-1-2-2-2-2-2-21111-1-1-122-1-1-1-1-1-1-1-200-2-2-2-21100001111-2-2-2-21111111100000000111100000020200-1-1-1-100000
χ292222-2-222-1-1222-1-12222-1-1-2-2-2-21122-1-1-2-2-2-2-1-1-1-122200-2-20000-11111-1-1-1111102-2-1-11100-1-11122-2-200000000000022-1-1-1-12-2-1-111-1-111-2000011000000000
χ302222-2-222-1-1222-1-12222-1-1-2-2-2-21122-1-1-2-2-2-2-1-1-1-122200-2-20000-11111-1-1-111110-22-1-1110011-1-122-2-2000000000000-2-21111-22-1-11111-1-120000-1-1000000000
χ312222-2-222-1-1222-1-12222-1-1-2-2-2-21122-1-1-2-2-2-2-1-1-1-12-2-200220000-11111-1-1-1111102-211-1-100-1-111-2-222000000000000-2-211112-211-1-1-1-11120000-1-1000000000
χ322222-2-222-1-1222-1-12222-1-1-2-2-2-21122-1-1-2-2-2-2-1-1-1-12-2-200220000-11111-1-1-111110-2211-1-10011-1-1-2-22200000000000022-1-1-1-1-2211-1-111-1-1-2000011000000000
χ332222-2-22-122-1-122222-1-12-1-2-211-2-2-1-12-1111122-1-1-10022002222-1-2-211-1-1-11111-22-20000-2-222-2-20000-1-111-1-1-1-11111000000-110000-1-1110-2020000000001-10
χ342222-2-22-122-1-122222-1-12-1-2-211-2-2-1-12-1111122-1-1-10022002222-1-2-211-1-1-11111-2-220000-2-2-2-2220000-1-111-1-1-1-111110000001-1000011-1-1020-2000000000-110
χ352222-2-22-122-1-122222-1-12-1-2-211-2-2-1-12-1111122-1-1-100-2-200-2-2-2-2-1-2-211-1-1-1111122-200002222-2-2000011-1-11111-1-1-1-1000000-110000-1-111020-2000000000-110
χ362222-2-22-122-1-122222-1-12-1-2-211-2-2-1-12-1111122-1-1-100-2-200-2-2-2-2-1-2-211-1-1-111112-22000022-2-222000011-1-11111-1-1-1-10000001-1000011-1-10-2020000000001-10
χ372222-2-2-122222-122-1-12-1-1211-2-2-2-2-1-1-121111-1-122-12222-2-2-1-1-1-1-111-2-2-1-1-11111-20022-2-2110000-1-11122-2-2-1-1-1-1111100000000-1-111000000-20200-1-11100000
χ382222-2-2-122222-122-1-12-1-1211-2-2-2-2-1-1-121111-1-122-122-2-2-2-21111-111-2-2-1-1-1111120022-2-2-1-10000-1-111-2-2221111-1-1-1-100000000-1-11100000020-20011-1-100000
χ392222-2-2-122222-122-1-12-1-1211-2-2-2-2-1-1-121111-1-122-1-2-22222-1-1-1-1-111-2-2-1-1-11111-200-2-22211000011-1-122-2-2-1-1-1-111110000000011-1-100000020-20011-1-100000
χ402222-2-2-122222-122-1-12-1-1211-2-2-2-2-1-1-121111-1-122-1-2-2-2-2221111-111-2-2-1-1-11111200-2-222-1-1000011-1-1-2-2221111-1-1-1-10000000011-1-1000000-20200-1-11100000
χ4122-2-200222-22-2-22-22-2-22220000002-2-2-200002-22-2-2002i−2i002i2i−2i−2i200002-2-20000000000000000000002i−2i002i2i−2i−2i00002-222-2-20000000000000000000002i−2i000
χ4222-2-200222-22-2-22-22-2-22220000002-2-2-200002-22-2-2002i−2i002i2i−2i−2i200002-2-20000000000000000000002i−2i002i2i−2i−2i0000-22-2-222000000000000000000000−2i2i000
χ4322-2-200222-22-2-22-22-2-22220000002-2-2-200002-22-2-200−2i2i00−2i−2i2i2i200002-2-2000000000000000000000−2i2i00−2i−2i2i2i00002-222-2-2000000000000000000000−2i2i000
χ4422-2-200222-22-2-22-22-2-22220000002-2-2-200002-22-2-200−2i2i00−2i−2i2i2i200002-2-2000000000000000000000−2i2i00−2i−2i2i2i0000-22-2-2220000000000000000000002i−2i000
χ452-22-22-22222-2-22-2-2-2-222222-22-22-2-2-22222-2-2-2-2-2-222i−2i002i−2i000022-22-2-22-222-2-20002i−2i2i−2i0000002i−2i2i−2i000000000000000000002i−2i2i−2i00000000000000000000
χ462-22-22-22222-2-22-2-2-2-222222-22-22-2-2-22222-2-2-2-2-2-22−2i2i00−2i2i000022-22-2-22-222-2-2000−2i2i−2i2i000000−2i2i−2i2i00000000000000000000−2i2i−2i2i00000000000000000000
χ472-22-22-222-1-1-2-2211-2-222-1-12-22-2-11-2-2-1-122-2-2111122i−2i002i−2i0000-1-11-111-11-1-111000−ii−ii003−33−32i−2i2i−2i00000000000000−i3i3−i3i300−ii−ii3−33−300000−i3i3000000000
χ482-22-22-222-1-1-2-2211-2-222-1-12-22-2-11-2-2-1-122-2-2111122i−2i002i−2i0000-1-11-111-11-1-111000−ii−ii00−33−332i−2i2i−2i00000000000000i3−i3i3−i300−ii−ii−33−3300000i3−i3000000000
χ492-22-22-222-1-1-2-2211-2-222-1-12-22-2-11-2-2-1-122-2-211112−2i2i00−2i2i0000-1-11-111-11-1-111000i−ii−i003−33−3−2i2i−2i2i00000000000000i3−i3i3−i300i−ii−i3−33−300000i3−i3000000000
χ502-22-22-222-1-1-2-2211-2-222-1-12-22-2-11-2-2-1-122-2-211112−2i2i00−2i2i0000-1-11-111-11-1-111000i−ii−i00−33−33−2i2i−2i2i00000000000000−i3i3−i3i300i−ii−i−33−3300000−i3i3000000000
χ512-22-22-2-1222-2-2-1-2-2112-1-12-112-22-211-12-1-11111-2-2-12i−2i002i−2i−i3i3−i3i3-1-112-21-11-1-1110002i−2i2i−2i−i3i30000−ii−ii0000−i3i3−i3i3−i3−i3i3i300000000−ii−ii000000000003−33−300000
χ522-22-22-2-1222-2-2-1-2-2112-1-12-112-22-211-12-1-11111-2-2-12i−2i002i−2ii3−i3i3−i3-1-112-21-11-1-1110002i−2i2i−2ii3−i30000−ii−ii0000i3−i3i3−i3i3i3−i3−i300000000−ii−ii00000000000−33−3300000
χ532-22-22-2-1222-2-2-1-2-2112-1-12-112-22-211-12-1-11111-2-2-1−2i2i00−2i2i−i3i3−i3i3-1-112-21-11-1-111000−2i2i−2i2i−i3i30000i−ii−i0000−i3i3−i3i3−i3−i3i3i300000000i−ii−i00000000000−33−3300000
χ542-22-22-2-1222-2-2-1-2-2112-1-12-112-22-211-12-1-11111-2-2-1−2i2i00−2i2ii3−i3i3−i3-1-112-21-11-1-111000−2i2i−2i2ii3−i30000i−ii−i0000i3−i3i3−i3i3i3−i3−i300000000i−ii−i000000000003−33−300000
χ552-22-2-222222-2-22-2-2-2-22222-22-22-22-2-222-2-222-2-2-2-222i−2i00−2i2i00002-22-22-22-2-2-2220002i−2i−2i2i0000002i−2i−2i2i000000000000000000002i−2i−2i2i00000000000000000000
χ562-22-2-222222-2-22-2-2-2-22222-22-22-22-2-222-2-222-2-2-2-22−2i2i002i−2i00002-22-22-22-2-2-222000−2i2i2i−2i000000−2i2i2i−2i00000000000000000000−2i2i2i−2i00000000000000000000
χ572-22-2-2222-1-1-2-2211-2-222-1-1-22-221-1-2-2-1-1-2-222111122i−2i00−2i2i0000-11-11-11-1111-1-1000−iii−i003−3−332i−2i−2i2i00000000000000−i3i3−i3i300−iii−i3−3−3300000i3−i3000000000
χ582-22-2-2222-1-1-2-2211-2-222-1-1-22-221-1-2-2-1-1-2-222111122i−2i00−2i2i0000-11-11-11-1111-1-1000−iii−i00−333−32i−2i−2i2i00000000000000i3−i3i3−i300−iii−i−333−300000−i3i3000000000
χ592-22-2-2222-1-1-2-2211-2-222-1-1-22-221-1-2-2-1-1-2-22211112−2i2i002i−2i0000-11-11-11-1111-1-1000i−i−ii003−3−33−2i2i2i−2i00000000000000i3−i3i3−i300i−i−ii3−3−3300000−i3i3000000000
χ602-22-2-2222-1-1-2-2211-2-222-1-1-22-221-1-2-2-1-1-2-22211112−2i2i002i−2i0000-11-11-11-1111-1-1000i−i−ii00−333−3−2i2i2i−2i00000000000000−i3i3−i3i300i−i−ii−333−300000i3−i3000000000
χ612-22-2-22-1222-2-2-1-2-2112-1-121-1-22-2211-1211-1-111-2-2-12i−2i00−2i2i−i3i3−i3i3-11-1-221-1111-1-10002i−2i−2i2ii3−i30000−iii−i0000−i3i3−i3i3i3i3−i3−i300000000−iii−i000000000003−3−3300000
χ622-22-2-22-1222-2-2-1-2-2112-1-121-1-22-2211-1211-1-111-2-2-12i−2i00−2i2ii3−i3i3−i3-11-1-221-1111-1-10002i−2i−2i2i−i3i30000−iii−i0000i3−i3i3−i3−i3−i3i3i300000000−iii−i00000000000−333−300000
χ632-22-2-22-1222-2-2-1-2-2112-1-121-1-22-2211-1211-1-111-2-2-1−2i2i002i−2i−i3i3−i3i3-11-1-221-1111-1-1000−2i2i2i−2ii3−i30000i−i−ii0000−i3i3−i3i3i3i3−i3−i300000000i−i−ii00000000000−333−300000
χ642-22-2-22-1222-2-2-1-2-2112-1-121-1-22-2211-1211-1-111-2-2-1−2i2i002i−2ii3−i3i3−i3-11-1-221-1111-1-1000−2i2i2i−2i−i3i30000i−i−ii0000i3−i3i3−i3−i3−i3i3i300000000i−i−ii000000000003−3−3300000
χ654444444-2-2-2-2-24-2-244-2-2-2144-2-2-2-2-2-2-21-2-2-2-2-2-211-200000000001-2-2111111111044000000-2-2-2-20000000000000000000000-2-2000011110000000000000000
χ664444444-2-2-2-2-24-2-244-2-2-2144-2-2-2-2-2-2-21-2-2-2-2-2-211-200000000001-2-21111111110-4-400000022220000000000000000000000220000-1-1-1-10000000000000000
χ67444444-24-2-244-2-2-2-2-24-21-2-2-244-2-2-2-21-2-2-2-2-211-2-2-24400440000111-2-21111111000-2-2-2-2000000-2-2-2-200000000000000000000111100000000000000000000
χ68444444-24-2-244-2-2-2-2-24-21-2-2-244-2-2-2-21-2-2-2-2-211-2-2-2-4-400-4-40000111-2-211111110002222000000222200000000000000000000-1-1-1-100000000000000000000
χ69444444-2-244-2-2-244-2-2-21-2-2-2-2-2-24411-2-21111-2-2-2-21004400-2-2-2-21-2-2-2-211111114000000-2-200000000-2-2-2-21111111100000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).