Finite Group Databasebeta

← Group #13172901

Character table — Group #13172901

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order12222233366666666633366666666666666666664444441212121236666666666644412121212121212121212121212121212121212121212121212122266661212121212121212121222444666612122212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-11-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-111-1-111-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-1-1-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-1-1-1111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-111-1-11111-1-11
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
χ91111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-11111111-1-11111111-1-1-1-1111-1-1-1-11-1-11111-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111111-111-1-111-1-1-1-111-1-1-1-1-111111-1-1
χ101111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-11111111-1-11111111-1-1-1-1111-1-1-1-1-1-111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-111-11-1-11111-1-1-111
χ111111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-111-1-111-1-1-1-111111111111-111-1-111-1-11-1-1-1111-1-1-1-1-1-1-111
χ121111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-11111-11-11111-1-1111-1-1
χ131111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-1111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-111-11-11111-1-1-1-11-11
χ141111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-1111111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1111111-11-1-111-1-1111-1-1-1111-1-1-1-111-11-1
χ151111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-111-1-1-1-1-1-11-1-1-1-1111-1-1-1-111-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-11111-1-1-111-11-1-1111111-11-1
χ161111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-111-1-1-1-111-1-1111111-1-111-1-1-1-11111111111-11-1-111-1-111-1-111-1-1-1-1-111-1-11-11
χ1722222222-12-12-1-122222-1-12222-1-122-1-12222-1-1-1-122222000000-1-1-1-1-1-1-1-1-1-1-1-120222-1-1-1-1-1-1-1-1220000000000000022-1-1-1-122-1-1-1-1-1-1-1-10200000-1-10000000
χ1822222222-12-12-1-122222-1-12222-1-122-1-12222-1-1-1-122222000000-1-1-1-1-1-1-1-1-1-1-1-1-20-222-1-1-1-111112200000000000000-2-21111-2-2-1-1-1-111110-200000110000000
χ1922222222-12-12-1-122222-1-12222-1-122-1-12222-1-1-1-12-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1202-2-21111-1-1-1-1-2-200000000000000-2-21111221111-1-1-1-10-200000110000000
χ2022222222-12-12-1-122222-1-12222-1-122-1-12222-1-1-1-12-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-20-2-2-211111111-2-20000000000000022-1-1-1-1-2-2111111110200000-1-10000000
χ212222222-1222-122-1-122-12-122-1-122-1-12-1-1-1-1-122-1-1-1222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1020-1-122220000-1-1-1-12222-1-1-1-1-1-1-1-100000000-1-1-1-1000020200-1-100-1-100000
χ222222222-1222-122-1-122-12-122-1-122-1-12-1-1-1-1-122-1-1-12222-2-21111-122-1-1-1-1-1-1-1-1-10-20-1-122220000-1-111-2-2-2-21111111100000000-1-1-1-10000-20-20011001100000
χ232222222-1222-122-1-122-12-122-1-122-1-12-1-1-1-1-122-1-1-1-2-2-2-222-1-1-1-1-122-1-1-1-1-1-1-1-1-102011-2-2-2-2000011-1-12222-1-1-1-1-1-1-1-10000000011110000-20-20011001100000
χ242222222-1222-122-1-122-12-122-1-122-1-12-1-1-1-1-122-1-1-1-2-2-2-2-2-21111-122-1-1-1-1-1-1-1-1-10-2011-2-2-2-200001111-2-2-2-211111111000000001111000020200-1-100-1-100000
χ25222222-122-1222222-1-1-1-12-1-12222-1-1-12-1-1-1-1-1-122-10000222222-1-1-122-1-1-1-1-1-1-122200000022220022-1-1-1-1-1-1-1-1-1-1-1-1000000-1-10000-1-1-1-10002200000000-1-10
χ26222222-122-1222222-1-1-1-12-1-12222-1-1-12-1-1-1-1-1-122-10000222222-1-1-122-1-1-1-1-1-1-1-22-2000000-2-2-2-20022-1-1-1-1-1-1-1-1-1-1-1-10000001100001111000-2-200000000110
χ27222222-122-1222222-1-1-1-12-1-12222-1-1-12-1-1-1-1-1-122-10000-2-2-2-2-2-2-1-1-122-1-1-1-1-1-1-12-22000000222200-2-2111111111111000000-1-10000-1-1-1-1000-2-200000000110
χ28222222-122-1222222-1-1-1-12-1-12222-1-1-12-1-1-1-1-1-122-10000-2-2-2-2-2-2-1-1-122-1-1-1-1-1-1-1-2-2-2000000-2-2-2-200-2-211111111111100000011000011110002200000000-1-10
χ292222-2-222-12-12-1-122222-1-1-2-2-2-21122-1-1-2-2-2-2-1-1-1-1222-2-2000000-11111-1-1-1111120-222-1-111-1-111-2-20000000000000022-1-1-1-12-2-1-111-1-1110-200000110000000
χ302222-2-222-12-12-1-122222-1-1-2-2-2-21122-1-1-2-2-2-2-1-1-1-1222-2-2000000-11111-1-1-11111-20222-1-11111-1-1-2-200000000000000-2-21111-22-1-11111-1-10200000-1-10000000
χ312222-2-222-12-12-1-122222-1-1-2-2-2-21122-1-1-2-2-2-2-1-1-1-12-2-222000000-11111-1-1-1111120-2-2-211-1-1-1-1112200000000000000-2-211112-211-1-1-1-1110200000-1-10000000
χ322222-2-222-12-12-1-122222-1-1-2-2-2-21122-1-1-2-2-2-2-1-1-1-12-2-222000000-11111-1-1-11111-202-2-211-1-111-1-1220000000000000022-1-1-1-1-2211-1-111-1-10-200000110000000
χ332222-2-22-1222-122-1-122-12-1-2-211-2-2-1-12-1111122-1-1-122-2-222-1-1-1-1-1-2-211-1-1-111110-20-1-122-2-20000111122-2-2-1-1-1-1111100000000-1-1110000-202001100-1-100000
χ342222-2-22-1222-122-1-122-12-1-2-211-2-2-1-12-1111122-1-1-122-2-2-2-21111-1-2-211-1-1-11111020-1-122-2-2000011-1-1-2-2221111-1-1-1-100000000-1-111000020-200-1-1001100000
χ352222-2-22-1222-122-1-122-12-1-2-211-2-2-1-12-1111122-1-1-1-2-22222-1-1-1-1-1-2-211-1-1-111110-2011-2-2220000-1-11122-2-2-1-1-1-111110000000011-1-1000020-200-1-1001100000
χ362222-2-22-1222-122-1-122-12-1-2-211-2-2-1-12-1111122-1-1-1-2-222-2-21111-1-2-211-1-1-1111102011-2-2220000-1-1-1-1-2-2221111-1-1-1-10000000011-1-10000-202001100-1-100000
χ372222-2-2-122-1222222-1-1-1-1211-2-2-2-2-1-1-121111-1-122-10000222222-111-2-2-1-1-111112-2-200000022-2-200-2-2-1-111-1-1-1-11111000000-110000-1-1110002-200000000-110
χ382222-2-2-122-1222222-1-1-1-1211-2-2-2-2-1-1-121111-1-122-10000222222-111-2-2-1-1-11111-2-22000000-2-22200-2-2-1-111-1-1-1-111110000001-1000011-1-1000-22000000001-10
χ392222-2-2-122-1222222-1-1-1-1211-2-2-2-2-1-1-121111-1-122-10000-2-2-2-2-2-2-111-2-2-1-1-1111122-200000022-2-2002211-1-11111-1-1-1-1000000-110000-1-111000-22000000001-10
χ402222-2-2-122-1222222-1-1-1-1211-2-2-2-2-1-1-121111-1-122-10000-2-2-2-2-2-2-111-2-2-1-1-11111-222000000-2-222002211-1-11111-1-1-1-10000001-1000011-1-10002-200000000-110
χ4122-2-22-222222-2-2-22-2-2-22222-22-22-22-22222-2-2-2-2-2-2-22i−2i2i−2i00000022-22-22-2-222-2-20002i−2i2i−2i2i−2i00002i−2i00000000000000000000002i−2i2i−2i00000000000000000000
χ4222-2-22-222222-2-2-22-2-2-22222-22-22-22-22222-2-2-2-2-2-2-2−2i2i−2i2i00000022-22-22-2-222-2-2000−2i2i−2i2i−2i2i0000−2i2i0000000000000000000000−2i2i−2i2i00000000000000000000
χ4322-2-22-222-12-1-2112-2-2-22-1-12-22-2-112-2-1-122-2-21111-22i−2i2i−2i000000-1-11-11-111-1-1110002i−2i−ii−ii3−33−32i−2i0000000000000000−i3−i3i3i300−ii−ii3−33−30000000−i3i30000000
χ4422-2-22-222-12-1-2112-2-2-22-1-12-22-2-112-2-1-122-2-21111-22i−2i2i−2i000000-1-11-11-111-1-1110002i−2i−ii−ii−33−332i−2i0000000000000000i3i3−i3−i300−ii−ii−33−330000000i3−i30000000
χ4522-2-22-222-12-1-2112-2-2-22-1-12-22-2-112-2-1-122-2-21111-2−2i2i−2i2i000000-1-11-11-111-1-111000−2i2ii−ii−i3−33−3−2i2i0000000000000000i3i3−i3−i300i−ii−i3−33−30000000i3−i30000000
χ4622-2-22-222-12-1-2112-2-2-22-1-12-22-2-112-2-1-122-2-21111-2−2i2i−2i2i000000-1-11-11-111-1-111000−2i2ii−ii−i−33−33−2i2i0000000000000000−i3−i3i3i300i−ii−i−33−330000000−i3i30000000
χ4722-2-22-22-12221-2-2-11-2-2-12-12-2-112-2-112-1-1-111-2-21112i−2i2i−2i0033−3−3-12-2-11-111-1-111000−ii2i−2i2i−2i0000−ii3−3000033−3−333−3−300000000−ii−ii000000000−i3i300−i3i300000
χ4822-2-22-22-12221-2-2-11-2-2-12-12-2-112-2-112-1-1-111-2-21112i−2i2i−2i00−3−333-12-2-11-111-1-111000−ii2i−2i2i−2i0000−ii−330000−3−333−3−33300000000−ii−ii000000000i3−i300i3−i300000
χ4922-2-22-22-12221-2-2-11-2-2-12-12-2-112-2-112-1-1-111-2-2111−2i2i−2i2i0033−3−3-12-2-11-111-1-111000i−i−2i2i−2i2i0000i−i3−3000033−3−333−3−300000000i−ii−i000000000i3−i300i3−i300000
χ5022-2-22-22-12221-2-2-11-2-2-12-12-2-112-2-112-1-1-111-2-2111−2i2i−2i2i00−3−333-12-2-11-111-1-111000i−i−2i2i−2i2i0000i−i−330000−3−333−3−33300000000i−ii−i000000000−i3i300−i3i300000
χ5122-2-2-2222222-2-2-22-2-2-2222-22-22-222-222-2-222-2-2-2-2-22i−2i−2i2i0000002-22-222-2-2-2-2220002i−2i2i−2i−2i2i0000−2i2i00000000000000000000002i−2i−2i2i00000000000000000000
χ5222-2-2-2222222-2-2-22-2-2-2222-22-22-222-222-2-222-2-2-2-2-2−2i2i2i−2i0000002-22-222-2-2-2-222000−2i2i−2i2i2i−2i00002i−2i0000000000000000000000−2i2i2i−2i00000000000000000000
χ5322-2-2-2222-12-1-2112-2-2-22-1-1-22-221-12-2-1-1-2-2221111-22i−2i−2i2i000000-11-11-1-11111-1-10002i−2i−iii−i3−3−33−2i2i0000000000000000−i3−i3i3i300−iii−i3−3−330000000i3−i30000000
χ5422-2-2-2222-12-1-2112-2-2-22-1-1-22-221-12-2-1-1-2-2221111-22i−2i−2i2i000000-11-11-1-11111-1-10002i−2i−iii−i−333−3−2i2i0000000000000000i3i3−i3−i300−iii−i−333−30000000−i3i30000000
χ5522-2-2-2222-12-1-2112-2-2-22-1-1-22-221-12-2-1-1-2-2221111-2−2i2i2i−2i000000-11-11-1-11111-1-1000−2i2ii−i−ii3−3−332i−2i0000000000000000i3i3−i3−i300i−i−ii3−3−330000000−i3i30000000
χ5622-2-2-2222-12-1-2112-2-2-22-1-1-22-221-12-2-1-1-2-2221111-2−2i2i2i−2i000000-11-11-1-11111-1-1000−2i2ii−i−ii−333−32i−2i0000000000000000−i3−i3i3i300i−i−ii−333−30000000i3−i30000000
χ5722-2-2-222-12221-2-2-11-2-2-12-1-221-1-22-112-111-1-1-2-21112i−2i−2i2i0033−3−3-1-221-1-11111-1-1000−ii2i−2i−2i2i0000i−i−33000033−3−3−3−33300000000−iii−i000000000i3−i300−i3i300000
χ5822-2-2-222-12221-2-2-11-2-2-12-1-221-1-22-112-111-1-1-2-21112i−2i−2i2i00−3−333-1-221-1-11111-1-1000−ii2i−2i−2i2i0000i−i3−30000−3−33333−3−300000000−iii−i000000000−i3i300i3−i300000
χ5922-2-2-222-12221-2-2-11-2-2-12-1-221-1-22-112-111-1-1-2-2111−2i2i2i−2i0033−3−3-1-221-1-11111-1-1000i−i−2i2i2i−2i0000−ii−33000033−3−3−3−33300000000i−i−ii000000000−i3i300i3−i300000
χ6022-2-2-222-12221-2-2-11-2-2-12-1-221-1-22-112-111-1-1-2-2111−2i2i2i−2i00−3−333-1-221-1-11111-1-1000i−i−2i2i2i−2i0000−ii3−30000−3−33333−3−300000000i−i−ii000000000i3−i300−i3i300000
χ612-2-2200222-2-2-22-2-22-22222000000-2-2-2-200002-22-2200002-22-22-220000-22-20000000000000000000002-2002-22-200002-22-22-20000000000000000000002-2000
χ622-2-2200222-2-2-22-2-22-22222000000-2-2-2-200002-22-2200002-22-22-220000-22-20000000000000000000002-2002-22-20000-22-22-22000000000000000000000-22000
χ632-2-2200222-2-2-22-2-22-22222000000-2-2-2-200002-22-220000-22-22-2220000-22-2000000000000000000000-2200-22-2200002-22-22-2000000000000000000000-22000
χ642-2-2200222-2-2-22-2-22-22222000000-2-2-2-200002-22-220000-22-22-2220000-22-2000000000000000000000-2200-22-220000-22-22-220000000000000000000002-2000
χ654444444-2-24-2-2-2-2-2-244-2-2144-2-2-2-2-2-2-21-2-2-2-2-2-211-244440000001-2-2111111111000-2-2-2-2-2-20000-2-20000000000000000000000111100000000000000000000
χ664444444-2-24-2-2-2-2-2-244-2-2144-2-2-2-2-2-2-21-2-2-2-2-2-211-2-4-4-4-40000001-2-21111111110002222220000220000000000000000000000-1-1-1-100000000000000000000
χ67444444-24-2-2-24-2-244-2-2-21-2-2-244-2-2-2-21-2-2-2-2-211-2-2-20000000000111-2-21111111404000000-2-2-2-20000000000000000000000-2-2000011110000000000000000
χ68444444-24-2-2-24-2-244-2-2-21-2-2-244-2-2-2-21-2-2-2-2-211-2-2-20000000000111-2-21111111-40-400000022220000000000000000000000220000-1-1-1-10000000000000000
χ69444444-2-24-24-244-2-2-2-21-2-2-2-2-2-24411-2-21111-2-2-2-21000044-2-2-2-21-2-2-2-21111111040000000000000-2-2-2-2-2-21111111100000000000000000000000000000000
χ70444444-2-24-24-244-2-2-2-21-2-2-2-2-2-24411-2-21111-2-2-2-210000-4-422221-2-2-2-211111110-40000000000000222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ714444-4-44-2-24-2-2-2-2-2-244-2-21-4-42222-2-2-212222-2-211-244-4-4000000122-1-1111-1-1-1-1000-2-2-2-222000022000000000000000000000011-1-100000000000000000000
χ724444-4-44-2-24-2-2-2-2-2-244-2-21-4-42222-2-2-212222-2-211-2-4-444000000122-1-1111-1-1-1-10002222-2-20000-2-20000000000000000000000-1-11100000000000000000000
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Here i is the imaginary unit (i² = −1).