Finite Group Databasebeta

← Group #13172897

Character table — Group #13172897

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order12222233366666666633366666666666666666664444441212121236666666666624466121212121212121212121212121212121212121212121212441212121266612121212121212224446612121212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-11-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11-11-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-11-1-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-111-11-11-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-11-1-11111-1-111-1-11
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
χ91111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11111111-1-1-1-1111-1-1-1-11-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-111-11-1-11111-1-11-11
χ101111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11111111-1-1-1-1111-1-1-1-1-11-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1111-1-111-1-111-1-1-111-1-111-11-1
χ111111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-11111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111-111-1-1-1-11-1-11111-1-11111-11-1
χ121111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-111-1-1111111-1-111-1-111-1-1-1-1-1-11111111111-1-1-1111-1-11111-1-1-111-1-1-1-1-1-11-11
χ131111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111111111-1-1-1-1111-1-1-1-11-1-111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1111111111-1-1-111-1-111-1-1-111-1-1-1-1111-1-1
χ141111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111111111-1-1-1-1111-1-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-11111-1-111-1-1-111
χ151111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-1111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111-1-1-111-1-1-1-111-1-1-111-1-1-1-1-111
χ161111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-111-11-1-11111111-1-1
χ1722222222-1-1222-122-122-1-12222-1-12-1-1-1-1-1-1-1-122-1-10000222222-122-1-1-1-1-1-1-1-1-122222000022-1-1-1-1002200-1-1-1-1-1-1-1-1000000-1-1-1-10000-1-10202000000000-1-10
χ1822222222-1-1222-122-122-1-12222-1-12-1-1-1-1-1-1-1-122-1-10000222222-122-1-1-1-1-1-1-1-1-1-2-22-2-20000-2-2-1-1-1-1002200-1-1-1-1-1-1-1-100000011110000110-20-2000000000110
χ1922222222-1-1222-122-122-1-12222-1-12-1-1-1-1-1-1-1-122-1-10000-2-2-2-2-2-2-122-1-1-1-1-1-1-1-1-122-222000022111100-2-20011111111000000-1-1-1-10000-1-10-20-2000000000110
χ2022222222-1-1222-122-122-1-12222-1-12-1-1-1-1-1-1-1-122-1-10000-2-2-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2-2-2-2-20000-2-2111100-2-2001111111100000011110000110202000000000-1-10
χ212222222-12222-12-1-122-1-1222-1-122-1-1-1-1-1-1-122-1-12-1222222-1-1-1-1-1-1-122-1-1-1-1-1-1-10020022-1-1002222-1-1-1-122-1-1-1-1-1-1-1-10000000000-1-1-1-10020200-1-1-1-10000000
χ222222222-12222-12-1-122-1-1222-1-122-1-1-1-1-1-1-122-1-12-12222-2-21111-1-1-122-1-1-1-1-1-1-100-20022-1-100-2-2-2-2-1-11122111111110000000000-1-1-1-100-20-20011110000000
χ232222222-12222-12-1-122-1-1222-1-122-1-1-1-1-1-1-122-1-12-1-2-2-2-222-1-1-1-1-1-1-122-1-1-1-1-1-1-100200-2-21100222211-1-1-2-2-1-1-1-1-1-1-1-10000000000111100-20-20011110000000
χ242222222-12222-12-1-122-1-1222-1-122-1-1-1-1-1-1-122-1-12-1-2-2-2-2-2-21111-1-1-122-1-1-1-1-1-1-100-200-2-21100-2-2-2-21111-2-211111111000000000011110020200-1-1-1-10000000
χ25222222-1222-1-122222-1-12-1-1-12222-1222222-1-1-1-1-122222000000-1-1-1-1-1-1-1-1-1-1-1-1220-1-1-1-122-1-100002200-1-10000000022-1-1-1-12-1-12-1-1-1-1-1-1000020000-1-100000
χ26222222-1222-1-122222-1-12-1-1-12222-1222222-1-1-1-1-122222000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2011-1-1221100002200-1-100000000-2-21111-211-2-1-1-1-1110000-200001100000
χ27222222-1222-1-122222-1-12-1-1-12222-1222222-1-1-1-1-12-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1220-1-111-2-2-1-10000-2-2001100000000-2-211112-1-121111-1-10000-200001100000
χ28222222-1222-1-122222-1-12-1-1-12222-1222222-1-1-1-1-12-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-2-201111-2-2110000-2-200110000000022-1-1-1-1-211-2111111000020000-1-100000
χ292222-2-222-1-1222-122-122-1-1-2-2-2-2112-1-11111-1-122-1-10000222222-1-2-211-1-1-111112-2-2220000-2-2-1-11100-2-200-1-1-1-11111000000-1-1-11000011020-2000000000-110
χ302222-2-222-1-1222-122-122-1-1-2-2-2-2112-1-11111-1-122-1-10000222222-1-2-211-1-1-11111-22-2-2-2000022-1-11100-2-200-1-1-1-11111000000111-10000-1-10-2020000000001-10
χ312222-2-222-1-1222-122-122-1-1-2-2-2-2112-1-11111-1-122-1-10000-2-2-2-2-2-2-1-2-211-1-1-111112-22220000-2-211-1-10022001111-1-1-1-1000000-1-1-110000110-2020000000001-10
χ322222-2-222-1-1222-122-122-1-1-2-2-2-2112-1-11111-1-122-1-10000-2-2-2-2-2-2-1-2-211-1-1-11111-222-2-200002211-1-10022001111-1-1-1-1000000111-10000-1-1020-2000000000-110
χ332222-2-22-12222-12-1-122-1-12-2-211-2-2-1-1-1111122-1-12-122-2-222-1-1-1-1-111-2-2-1-1-1111100-20022-1-10022-2-21111-2-2-1-1-1-111110000000000-1-11100-2020011-1-10000000
χ342222-2-22-12222-12-1-122-1-12-2-211-2-2-1-1-1111122-1-12-122-2-2-2-21111-111-2-2-1-1-111110020022-1-100-2-22211-1-1-2-21111-1-1-1-10000000000-1-1110020-200-1-1110000000
χ352222-2-22-12222-12-1-122-1-12-2-211-2-2-1-1-1111122-1-12-1-2-22222-1-1-1-1-111-2-2-1-1-1111100-200-2-2110022-2-2-1-11122-1-1-1-11111000000000011-1-10020-200-1-1110000000
χ362222-2-22-12222-12-1-122-1-12-2-211-2-2-1-1-1111122-1-12-1-2-222-2-21111-111-2-2-1-1-1111100200-2-21100-2-222-1-1-1-1221111-1-1-1-1000000000011-1-100-2020011-1-10000000
χ372222-2-2-1222-1-122222-1-12-111-2-2-2-2-122-2-2-2-2-1-1-1-1-1222-2-2000000-11111-1-1-111112-20-1-1-1-122110000-2-2001100000000-2-211112-1-1-2-1-11111000020000-1-100000
χ382222-2-2-1222-1-122222-1-12-111-2-2-2-2-122-2-2-2-2-1-1-1-1-1222-2-2000000-11111-1-1-11111-22011-1-122-1-10000-2-200110000000022-1-1-1-1-2112-1-111-1-10000-200001100000
χ392222-2-2-1222-1-122222-1-12-111-2-2-2-2-122-2-2-2-2-1-1-1-1-12-2-222000000-11111-1-1-111112-20-1-111-2-21100002200-1-10000000022-1-1-1-12-1-1-211-1-1110000-200001100000
χ402222-2-2-1222-1-122222-1-12-111-2-2-2-2-122-2-2-2-2-1-1-1-1-12-2-222000000-11111-1-1-11111-2201111-2-2-1-100002200-1-100000000-2-21111-211211-1-1-1-1000020000-1-100000
χ412-22-22-2222-22-2-2-22-22-22222-22-22-222-222-2-2-2-2-2-22-22i−2i2i−2i00000022-22-22-2-222-2-2000002i−2i2i−2i0000002i−2i002i−2i0000000000000000002i−2i2i−2i000000000000000000
χ422-22-22-2222-22-2-2-22-22-22222-22-22-222-222-2-2-2-2-2-22-2−2i2i−2i2i00000022-22-22-2-222-2-200000−2i2i−2i2i000000−2i2i00−2i2i000000000000000000−2i2i−2i2i000000000000000000
χ432-22-22-22-12-22-21-2-112-2-1-122-2-112-2-1-11-1-111-2-211212i−2i2i−2i0033−3−3-1-112-2-111-1-111000002i−2i−ii000000−ii3−32i−2i33−3−333−3−30000000000−ii−ii0000000−i3i3−i3i30000000
χ442-22-22-22-12-22-21-2-112-2-1-122-2-112-2-1-11-1-111-2-211212i−2i2i−2i00−3−333-1-112-2-111-1-111000002i−2i−ii000000−ii−332i−2i−3−333−3−3330000000000−ii−ii0000000i3−i3i3−i30000000
χ452-22-22-22-12-22-21-2-112-2-1-122-2-112-2-1-11-1-111-2-21121−2i2i−2i2i0033−3−3-1-112-2-111-1-11100000−2i2ii−i000000i−i3−3−2i2i33−3−333−3−30000000000i−ii−i0000000i3−i3i3−i30000000
χ462-22-22-22-12-22-21-2-112-2-1-122-2-112-2-1-11-1-111-2-21121−2i2i−2i2i00−3−333-1-112-2-111-1-11100000−2i2ii−i000000i−i−33−2i2i−3−333−3−3330000000000i−ii−i0000000−i3i3−i3i30000000
χ472-22-22-2-122-2-11-2-22-221-12-1-112-22-2-12-222-2-21111-1-22i−2i2i−2i000000-1-11-11-111-1-111000−i3i3−ii2i−2i−i3i300002i−2i00−ii000000000033−3−30−i3i30−ii−ii−i3i30000000003−300000
χ482-22-22-2-122-2-11-2-22-221-12-1-112-22-2-12-222-2-21111-1-22i−2i2i−2i000000-1-11-11-111-1-111000i3−i3−ii2i−2ii3−i300002i−2i00−ii0000000000−3−3330i3−i30−ii−iii3−i3000000000−3300000
χ492-22-22-2-122-2-11-2-22-221-12-1-112-22-2-12-222-2-21111-1-2−2i2i−2i2i000000-1-11-11-111-1-111000−i3i3i−i−2i2i−i3i30000−2i2i00i−i0000000000−3−3330−i3i30i−ii−i−i3i3000000000−3300000
χ502-22-22-2-122-2-11-2-22-221-12-1-112-22-2-12-222-2-21111-1-2−2i2i−2i2i000000-1-11-11-111-1-111000i3−i3i−i−2i2ii3−i30000−2i2i00i−i000000000033−3−30i3−i30i−ii−ii3−i30000000003−300000
χ512-22-2-22222-22-2-2-22-22-2222-22-22-2222-2-2-222-2-2-2-22-22i−2i−2i2i0000002-22-222-2-2-2-222000002i−2i2i−2i000000−2i2i00−2i2i0000000000000000002i−2i−2i2i000000000000000000
χ522-22-2-22222-22-2-2-22-22-2222-22-22-2222-2-2-222-2-2-2-22-2−2i2i2i−2i0000002-22-222-2-2-2-22200000−2i2i−2i2i0000002i−2i002i−2i000000000000000000−2i2i2i−2i000000000000000000
χ532-22-2-222-12-22-21-2-112-2-1-12-221-1-22-1-1111-1-1-2-211212i−2i−2i2i0033−3−3-11-1-22-11111-1-1000002i−2i−ii000000i−i−33−2i2i33−3−3−3−3330000000000−iii−i0000000i3−i3−i3i30000000
χ542-22-2-222-12-22-21-2-112-2-1-12-221-1-22-1-1111-1-1-2-211212i−2i−2i2i00−3−333-11-1-22-11111-1-1000002i−2i−ii000000i−i3−3−2i2i−3−33333−3−30000000000−iii−i0000000−i3i3i3−i30000000
χ552-22-2-222-12-22-21-2-112-2-1-12-221-1-22-1-1111-1-1-2-21121−2i2i2i−2i0033−3−3-11-1-22-11111-1-100000−2i2ii−i000000−ii−332i−2i33−3−3−3−3330000000000i−i−ii0000000−i3i3i3−i30000000
χ562-22-2-222-12-22-21-2-112-2-1-12-221-1-22-1-1111-1-1-2-21121−2i2i2i−2i00−3−333-11-1-22-11111-1-100000−2i2ii−i000000−ii3−32i−2i−3−33333−3−30000000000i−i−ii0000000i3−i3−i3i30000000
χ572-22-2-22-122-2-11-2-22-221-12-11-1-22-22-12-2-2-2221111-1-22i−2i−2i2i000000-11-11-1-11111-1-1000−i3i3−ii2i−2ii3−i30000−2i2i00i−i0000000000−3−3330−i3i30−iii−ii3−i30000000003−300000
χ582-22-2-22-122-2-11-2-22-221-12-11-1-22-22-12-2-2-2221111-1-22i−2i−2i2i000000-11-11-1-11111-1-1000i3−i3−ii2i−2i−i3i30000−2i2i00i−i000000000033−3−30i3−i30−iii−i−i3i3000000000−3300000
χ592-22-2-22-122-2-11-2-22-221-12-11-1-22-22-12-2-2-2221111-1-2−2i2i2i−2i000000-11-11-1-11111-1-1000−i3i3i−i−2i2ii3−i300002i−2i00−ii000000000033−3−30−i3i30i−i−iii3−i3000000000−3300000
χ602-22-2-22-122-2-11-2-22-221-12-11-1-22-22-12-2-2-2221111-1-2−2i2i2i−2i000000-11-11-1-11111-1-1000i3−i3i−i−2i2i−i3i300002i−2i00−ii0000000000−3−3330i3−i30i−i−ii−i3i30000000003−300000
χ612-2-2200222-2-2-2-22-22-22222000000-2-2-200002-22-2-2200002-22-22-220000-22-20000000000000002-2000000002-22-200002-22-22-20000000000000000000002-2000
χ622-2-2200222-2-2-2-22-22-22222000000-2-2-200002-22-2-2200002-22-22-220000-22-20000000000000002-2000000002-22-20000-22-22-22000000000000000000000-22000
χ632-2-2200222-2-2-2-22-22-22222000000-2-2-200002-22-2-220000-22-22-2220000-22-2000000000000000-2200000000-22-2200002-22-22-2000000000000000000000-22000
χ642-2-2200222-2-2-2-22-22-22222000000-2-2-200002-22-2-220000-22-22-2220000-22-2000000000000000-2200000000-22-220000-22-22-220000000000000000000002-2000
χ654444444-2-2-244-2-2-2-2-24-21-244-2-2-2-2-2111111-2-2-2-2-21000044-2-2-2-21-2-2-2-2111111100400000000-2-2-2-200-2-2001111111100000000000000000000000000000000
χ664444444-2-2-244-2-2-2-2-24-21-244-2-2-2-2-2111111-2-2-2-2-210000-4-422221-2-2-2-2111111100-4000000002222002200-1-1-1-1-1-1-1-100000000000000000000000000000000
χ67444444-24-2-2-2-24-244-2-2-2-21-2-244-2-2-2-2-2-2-2-2-211-2-21-200000000001-2-2111111111440-2-20000-2-2000000000000000000000000-211-20000110000000000000000
χ68444444-24-2-2-2-24-244-2-2-2-21-2-244-2-2-2-2-2-2-2-2-211-2-21-200000000001-2-2111111111-4-40220000220000000000000000000000002-1-120000-1-10000000000000000
χ69444444-2-244-2-2-24-2-24-21-2-2-2-2-2-2441-2-2-2-2-2-2-2-211-2-24444000000111-2-2111111100000-2-2-2-2000000-2-200-2-20000000000000000001111000000000000000000
χ70444444-2-244-2-2-24-2-24-21-2-2-2-2-2-2441-2-2-2-2-2-2-2-211-2-2-4-4-4-4000000111-2-21111111000002222000000220022000000000000000000-1-1-1-1000000000000000000
χ714444-4-44-2-2-244-2-2-2-2-24-21-2-4-42222-211-1-1-1-1-2-2-2-2-21000044-2-2-2-212222111-1-1-1-100-400000000-2-2220022001111-1-1-1-100000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).