Finite Group Databasebeta

← Group #10594584

Character table — Group #10594584

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222224444444444444466666666666688888888121212121212121212121212121218182424363636
order122233446666663446661212121212121212444444441212121212121212121212122444661212121212121212221212444
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-111-1-111-1-1-1
χ31111111111111111111111111111-1-11111111111111111111-1-1-111-1-11111-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ5111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-111111111-1-1-1-111-1
χ6111111111111111-1-111111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11
χ7111111111111111-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-11
χ8111111111111111-1-111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-11111-1
χ9111111-1-111111111-1111-1-111-1-1-1-11111-1-11111111-1-1-111-1-1-1-11-1-1-11111-1-1-1-1111-11-1-1
χ10111111-1-111111111-1111-1-111-1-1-1-111-1-111-1-1-1-1-1-11-1-1-111-1-11-11-11111-1-111-1-1-1-11-1-111
χ11111111-1-111111111-1111-1-111-1-1-1-1-1-111-1-11111111-1-1-111-1-1-11-11-1-1-1-111-1-111-1-1-11-111
χ12111111-1-111111111-1111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-111-1-111-1111-1-1-1-1111111-111-1-1
χ13111111-1-11111111-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-11111111-1-1-1-1-1-1-111-11
χ14111111-1-11111111-11111-1-1-1-111-1-111-1-111111111-11-1-1-1-111-1-1-11-1-111-1-111-1-111-11-11-1
χ15111111-1-11111111-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-111111-111-1-111-1-111111-1-11-1
χ16111111-1-11111111-11111-1-1-1-111-1-1-1-1-1-111111111-11-1-1-1-111-111-1-1-1-1-1-1-11111-1-11-11-11
χ1722222-1222-1-12-12-122-1-1-122-1-1-1-1-1-100222222-1-1-1-122-1-1-1-1-1-12000-1-100-1-1-1-1000000000
χ1822222-1222-1-12-12-122-1-1-122-1-1-1-1-1-100-2-2-2-2-2-2111122-1-1-1-1-1-1-200011001111000000000
χ1922222-1222-1-12-12-1-2-2-1-1-1221111-1-1002222-2-21111-2-2-1-11111-20001100-1-1-1-1000000000
χ2022222-1222-1-12-12-1-2-2-1-1-1221111-1-100-2-2-2-222-1-1-1-1-2-2-1-111112000-1-1001111000000000
χ2122222-1-2-22-1-12-12-12-2-1-1-1-2-2-1-111110022-2-222-1-1-1-12-211-1-111-20001100-1-111000000000
χ2222222-1-2-22-1-12-12-12-2-1-1-1-2-2-1-1111100-2-222-2-211112-211-1-1112000-1-10011-1-1000000000
χ2322222-1-2-22-1-12-12-1-22-1-1-1-2-211-1-1110022-2-2-2-21111-221111-1-12000-1-100-1-111000000000
χ2422222-1-2-22-1-12-12-1-22-1-1-1-2-211-1-11100-2-22222-1-1-1-1-221111-1-1-2000110011-1-1000000000
χ252222-1222-122-12-1-122-1-1-1-1-1222222220000000000-1-1-1-1-1-1-1-1022200-1-10000-1-100-1-1000
χ262222-1222-122-12-1-122-1-1-1-1-1222222-2-20000000000-1-1-1-1-1-1-1-10-2-2-200110000110011000
χ272222-1222-122-12-1-1-2-2-1-1-1-1-1-2-2-2-22222000000000011-1-1111102-2-200-1-10000-1-10011000
χ282222-1222-122-12-1-1-2-2-1-1-1-1-1-2-2-2-222-2-2000000000011-1-111110-222001100001100-1-1000
χ292222-12-2-2-122-12-1-12-2-1-1-11122-2-2-2-2220000000000-1111-1-1110-22-200-1-100001100-11000
χ302222-12-2-2-122-12-1-12-2-1-1-11122-2-2-2-2-2-20000000000-1111-1-11102-2200110000-1-1001-1000
χ312222-12-2-2-122-12-1-1-22-1-1-111-2-222-2-22200000000001-11111-1-10-2-2200-1-1000011001-1000
χ322222-12-2-2-122-12-1-1-22-1-1-111-2-222-2-2-2-200000000001-11111-1-1022-200110000-1-100-11000
χ332-22-22200-2-2-2-2222002-2-2000000002i−2i00002i−2i2i2i−2i−2i000000000000002i−2i0000002-200000
χ342-22-22200-2-2-2-2222002-2-2000000002i−2i0000−2i2i−2i−2i2i2i000000000000002i−2i000000-2200000
χ352-22-22200-2-2-2-2222002-2-200000000−2i2i00002i−2i2i2i−2i−2i00000000000000−2i2i000000-2200000
χ362-22-22200-2-2-2-2222002-2-200000000−2i2i0000−2i2i−2i−2i2i2i00000000000000−2i2i0000002-200000
χ372-2-22222-22-22-2-2-2200-22-22-200002-2002i−2i2i−2i000000002-20000000000002i−2i2i−2i000000000
χ382-2-22222-22-22-2-2-2200-22-22-200002-200−2i2i−2i2i000000002-2000000000000−2i2i−2i2i000000000
χ392-2-2222-222-22-2-2-2200-22-2-220000-22002i−2i−2i2i00000000-220000000000002i−2i−2i2i000000000
χ402-2-2222-222-22-2-2-2200-22-2-220000-2200−2i2i2i−2i00000000-22000000000000−2i2i2i−2i000000000
χ412-2-222-12-221-1-21-2-1001-112-23−33−3-11002i−2i2i−2i00−i3i3−i3i300-113−33−30000−i3i300−ii−ii000000000
χ422-2-222-12-221-1-21-2-1001-112-23−33−3-1100−2i2i−2i2i00i3−i3i3−i300-113−33−30000i3−i300i−ii−i000000000
χ432-2-222-12-221-1-21-2-1001-112-2−33−33-11002i−2i2i−2i00i3−i3i3−i300-11−33−330000i3−i300−ii−ii000000000
χ442-2-222-12-221-1-21-2-1001-112-2−33−33-1100−2i2i−2i2i00−i3i3−i3i300-11−33−330000−i3i300i−ii−i000000000
χ452-2-222-1-2221-1-21-2-1001-11-223−3−331-1002i−2i−2i2i00−i3i3−i3i3001-13−3−330000i3−i300−iii−i000000000
χ462-2-222-1-2221-1-21-2-1001-11-223−3−331-100−2i2i2i−2i00i3−i3i3−i3001-13−3−330000−i3i300i−i−ii000000000
χ472-2-222-1-2221-1-21-2-1001-11-22−333−31-1002i−2i−2i2i00i3−i3i3−i3001-1−333−30000−i3i300−iii−i000000000
χ482-2-222-1-2221-1-21-2-1001-11-22−333−31-100−2i2i2i−2i00−i3i3−i3i3001-1−333−30000i3−i300i−i−ii000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2000000000000-2-2111111000000000000000000000
χ504444-2-244-2-2-2-2-2-21-4-4111-2-22222-2-20000000000002211-1-1-1-1000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-214-411122-2-22222000000000000-22-1-111-1-1000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-21-441112222-2-2220000000000002-2-1-1-1-111000000000000000000000
χ5344-4-44400-44-44-4-4400-4-440000000000000000000000000000000000000000000000000
χ5444-4-44-200-4-2242-4-20022-2000000000000000023−23−232300000000000000000000000000000
χ5544-4-44-200-4-2242-4-20022-20000000000000000−232323−2300000000000000000000000000000
χ5644-4-4-240024-4-2-42-20022-2000000000000000000000000000000000000000023−230000000
χ5744-4-4-240024-4-2-42-20022-20000000000000000000000000000000000000000−23230000000
χ584-44-44-200-422-4-24-200-222000000000000004i−4i−2i−2i2i2i00000000000000000000000000000
χ594-44-44-200-422-4-24-200-22200000000000000−4i4i2i2i−2i−2i00000000000000000000000000000
χ604-44-4-24002-4-424-2-200-222000000004i−4i000000000000000000000000−2i2i0000000000000
χ614-44-4-24002-4-424-2-200-22200000000−4i4i0000000000000000000000002i−2i0000000000000
χ624-4-44-244-4-2-442-42-2002-22-2200004-400000000000000-220000000000000000000000000
χ634-4-44-24-44-2-442-42-2002-222-20000-44000000000000002-20000000000000000000000000
χ644-4-44-2-24-4-22-2222100-11-1-2223−2323−23-22000000000000001-1−33−33000000000000000000000
χ654-4-44-2-24-4-22-2222100-11-1-22−2323−2323-22000000000000001-13−33−3000000000000000000000
χ664-4-44-2-2-44-22-2222100-11-12-223−23−23232-200000000000000-11−333−3000000000000000000000
χ674-4-44-2-2-44-22-2222100-11-12-2−232323−232-200000000000000-113−3−33000000000000000000000
χ6888-8-8-4-4004-44-444200-2-220000000000000000000000000000000000000000000000000
χ698-88-8-4-4004444-4-42002-2-20000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).