Finite Group Databasebeta

← Group #10594412

Character table — Group #10594412

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222224444444444444466666666666688888888121212121212121212121212121218182424363636
order122233446666663446661212121212121212224444441212121212121212121212124444661212121212121212441212244
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111111111-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111111-1-1-111-1-1-1-111-1-111-1-1-1
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
χ5111111111111111-1-111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-11-1-1111111-1-111-1-1-1-111-1
χ6111111111111111-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-11-11-111-1-111-1-1-1-11111-1-11
χ7111111111111111-1-111111-1-1-1-111-1-111-1-1111111-1-1-1-111-1-1-11-11-1-111-1-1111111-1-1-1-11
χ8111111111111111-1-111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-11-111-1-1-1-1-1-111-1-1-1-11111-1
χ9111111-1-111111111-1111-1-111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-111111-1-111-1-1-1-11-1-111
χ10111111-1-111111111-1111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-111111-1-1-1-1111111-111-1-1
χ11111111-1-111111111-1111-1-111-1-1-1-1-1-111111111111-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1111-11-1-1
χ12111111-1-111111111-1111-1-111-1-1-1-1-1-11111-1-111111-1-1-1-1-111-111-1-1-1-1-111-1-111-1-1-11-111
χ13111111-1-11111111-11111-1-1-1-111-1-11111-1-1111111-1111-1-1-1-1-1-11-11111-1-1-1-1-1-111-11-11-1
χ14111111-1-11111111-11111-1-1-1-111-1-11111-1-1-1-11111-1111-1-1-1-111-1-111-1-1-1-1-1-111-1-11-11-11
χ15111111-1-11111111-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-1-111-11
χ16111111-1-11111111-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-111-11-1-1-1-1111111111-1-11-1
χ1722222-122-12-12-12-122-1-1-1-1-1-1-1-1-12222222200-1-1-1-122-1-1-1-1-1-10002-1-100-1-1-1-1000000000
χ1822222-122-12-12-12-122-1-1-1-1-1-1-1-1-122-2-2-2-2-2-200111122-1-1-1-1-1-1000-211001111000000000
χ1922222-122-12-12-12-1-2-2-1-1-1-1-111112222-2-222001111-2-211-1-111000-2-1-100-1-111000000000
χ2022222-122-12-12-12-1-2-2-1-1-1-1-1111122-2-222-2-200-1-1-1-1-2-211-1-1110002110011-1-1000000000
χ2122222-1-2-2-12-12-12-12-2-1-1-111-1-111-2-222-2-2-2-20011112-21111-1-10002-1-10011-1-1000000000
χ2222222-1-2-2-12-12-12-12-2-1-1-111-1-111-2-2-2-2222200-1-1-1-12-21111-1-1000-21100-1-111000000000
χ2322222-1-2-2-12-12-12-1-22-1-1-11111-1-1-2-22222-2-200-1-1-1-1-22-1-11111000-2-1-1001111000000000
χ2422222-1-2-2-12-12-12-1-22-1-1-11111-1-1-2-2-2-2-2-222001111-22-1-1111100021100-1-1-1-1000000000
χ252222-12222-12-12-1-122-1-1-1222222-1-1000000220000-1-1-1-1-1-1-1-1222000-1-10000-1-100-1-1000
χ262222-12222-12-12-1-122-1-1-1222222-1-1000000-2-20000-1-1-1-1-1-1-1-1-2-2-2000110000110011000
χ272222-12222-12-12-1-1-2-2-1-1-122-2-2-2-2-1-10000002200001111-1-111-22-2000-1-10000-1-10011000
χ282222-12222-12-12-1-1-2-2-1-1-122-2-2-2-2-1-1000000-2-200001111-1-1112-220001100001100-1-1000
χ292222-12-2-22-12-12-1-12-2-1-1-1-2-222-2-211000000220000-111111-1-12-2-2000-1-100001100-11000
χ302222-12-2-22-12-12-1-12-2-1-1-1-2-222-2-211000000-2-20000-111111-1-1-222000110000-1-1001-1000
χ312222-12-2-22-12-12-1-1-22-1-1-1-2-2-2-222110000002200001-1-1-11111-2-22000-1-1000011001-1000
χ322222-12-2-22-12-12-1-1-22-1-1-1-2-2-2-22211000000-2-200001-1-1-1111122-2000110000-1-100-11000
χ332-22-2222i−2i-2-22-2-22200-22-22i−2i00002i−2i2-2002i−2i00000000002i−2i0000002-2002i−2i00000000000
χ342-22-2222i−2i-2-22-2-22200-22-22i−2i00002i−2i-2200−2i2i00000000002i−2i000000-2200−2i2i00000000000
χ352-22-222−2i2i-2-22-2-22200-22-2−2i2i0000−2i2i2-200−2i2i0000000000−2i2i0000002-200−2i2i00000000000
χ362-22-222−2i2i-2-22-2-22200-22-2−2i2i0000−2i2i-22002i−2i0000000000−2i2i000000-22002i−2i00000000000
χ372-22-22-12i−2i1-2-1-212-1001-11−ii3−3−i3i32i−2i2-2002i−2i00−i3−i3i3i300−i3i3−ii3−30000-1100−ii3−3000000000
χ382-22-22-12i−2i1-2-1-212-1001-11−ii3−3−i3i32i−2i-2200−2i2i00i3i3−i3−i300−i3i3−ii3−300001-100i−i−33000000000
χ392-22-22-12i−2i1-2-1-212-1001-11−ii−33i3−i32i−2i2-2002i−2i00i3i3−i3−i300i3−i3−ii−330000-1100−ii−33000000000
χ402-22-22-12i−2i1-2-1-212-1001-11−ii−33i3−i32i−2i-2200−2i2i00−i3−i3i3i300i3−i3−ii−3300001-100i−i3−3000000000
χ412-22-22-1−2i2i1-2-1-212-1001-11i−i3−3i3−i3−2i2i2-200−2i2i00i3i3−i3−i300i3−i3i−i3−30000-1100i−i3−3000000000
χ422-22-22-1−2i2i1-2-1-212-1001-11i−i3−3i3−i3−2i2i-22002i−2i00−i3−i3i3i300i3−i3i−i3−300001-100−ii−33000000000
χ432-22-22-1−2i2i1-2-1-212-1001-11i−i−33−i3i3−2i2i2-200−2i2i00−i3−i3i3i300−i3i3i−i−330000-1100i−i−33000000000
χ442-22-22-1−2i2i1-2-1-212-1001-11i−i−33−i3i3−2i2i-22002i−2i00i3i3−i3−i300−i3i3i−i−3300001-100−ii3−3000000000
χ452-2-222200-22-2-22-22002-2-200000000002i−2i002-22i−2i2i−2i000000000000002-20000002i−2i00000
χ462-2-222200-22-2-22-22002-2-200000000002i−2i00-222i−2i2i−2i00000000000000-22000000−2i2i00000
χ472-2-222200-22-2-22-22002-2-20000000000−2i2i002-2−2i2i−2i2i000000000000002-2000000−2i2i00000
χ482-2-222200-22-2-22-22002-2-20000000000−2i2i00-22−2i2i−2i2i00000000000000-220000002i−2i00000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2000000000000-2-2111111000000000000000000000
χ504444-2-244-2-2-2-2-2-21-4-4111-2-22222-2-200000000000022-1-111-1-1000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-214-411122-2-22222000000000000-22-1-1-1-111000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-21-441112222-2-2220000000000002-211-1-1-1-1000000000000000000000
χ5344-4-444004-4-44-4-4400-4-440000000000000000000000000000000000000000000000000
χ5444-4-44-200-2-4242-4-20022-2000000000000000023−23−232300000000000000000000000000000
χ5544-4-44-200-2-4242-4-20022-20000000000000000−232323−2300000000000000000000000000000
χ5644-4-4-240042-4-2-42-20022-2000000000000000000000000000000000000000023−230000000
χ5744-4-4-240042-4-2-42-20022-20000000000000000000000000000000000000000−23230000000
χ584-44-4-244i−4i-4242-4-2-2002-224i−4i0000−2i2i0000000000000000−2i2i00000000000000000000000
χ594-44-4-24−4i4i-4242-4-2-2002-22−4i4i00002i−2i00000000000000002i−2i00000000000000000000000
χ604-44-4-2-24i−4i22-222-2100-11-1−2i2i23−23−2i32i3−2i2i00000000000000i3−i3i−i−33000000000000000000000
χ614-44-4-2-24i−4i22-222-2100-11-1−2i2i−23232i3−2i3−2i2i00000000000000−i3i3i−i3−3000000000000000000000
χ624-44-4-2-2−4i4i22-222-2100-11-12i−2i23−232i3−2i32i−2i00000000000000−i3i3−ii−33000000000000000000000
χ634-44-4-2-2−4i4i22-222-2100-11-12i−2i−2323−2i32i32i−2i00000000000000i3−i3−ii3−3000000000000000000000
χ644-4-444-200242-4-2-4-200-22200000000004i−4i0000−2i2i−2i2i00000000000000000000000000000
χ654-4-444-200242-4-2-4-200-2220000000000−4i4i00002i−2i2i−2i00000000000000000000000000000
χ664-4-44-2400-4-2-4242-200-222000000000000004-4000000000000000000-220000000000000
χ674-4-44-2400-4-2-4242-200-22200000000000000-440000000000000000002-20000000000000
χ6888-8-8-4-400-444-444200-2-220000000000000000000000000000000000000000000000000
χ698-8-88-4-4004-444-442002-2-20000000000000000000000000000000000000000000000000

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