Finite Group Databasebeta

← Group #10594533

Character table — Group #10594533

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222224444444444444466666666666688888888121212121212121212121212121218182424363636
order12223344666666344666121212121212121222224444666612121212121212124444661212121212121212441212444
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111111111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-111-1-111-1-1-1
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
χ5111111111111111-1-1111-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-11-1
χ6111111111111111-1-1111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11-111-1-1-1-111-1-1-1-1-1-1111-11
χ7111111111111111-1-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-11-1-11111-1-11111-1-1-1-11-11
χ8111111111111111-1-1111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-11-1
χ9111111-1-111111111-1111-1-1-1-1-1-111111111-1-11111-11-1-1-1-111-1-1-1111-1-1-1-111-1-1111-11-1-1
χ10111111-1-111111111-1111-1-1-1-1-1-11111-1-111-1-11111-11-1-1-1-111-111-1-1-1-1-1-1-11111-1-1-11-111
χ11111111-1-111111111-1111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-11-1-1-1-1111-1-11111111-1-1-1-1-1-11-1-111
χ12111111-1-111111111-1111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11-1-1-1-111111-1-1-11111-1-11111-111-1-1
χ13111111-1-11111111-1111111-1-1-1-1-1-11111-1-11111111-111-1-1-1-1-1-11-11111-1-1-1-1-1-111-11-1-11
χ14111111-1-11111111-1111111-1-1-1-1-1-111-1-1-1-11111111-111-1-1-1-1-11-11-1-111-1-1-1-111-1-11-111-1
χ15111111-1-11111111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-11-11-111-1-11111-1-1-1-1-1111-1
χ16111111-1-11111111-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111-1-1-1-111-11-1-1-1-1111111111-1-1-11
χ1722222-1222-12-12-1-122-1-1-12222-1-122002200000000-1-1-1-1-1-1-1-10222-1-1000000-1-100-1-1000
χ1822222-1222-12-12-1-122-1-1-12222-1-12200-2-200000000-1-1-1-1-1-1-1-10-2-2-211000000110011000
χ1922222-1222-12-12-1-1-2-2-1-1-1-2-222-1-1-2-20022000000001111-1-11102-2-2-1-1000000-1-10011000
χ2022222-1222-12-12-1-1-2-2-1-1-1-2-222-1-1-2-200-2-2000000001111-1-1110-222110000001100-1-1000
χ2122222-1-2-22-12-12-1-12-2-1-1-1-2-2-2-211220022000000001-11111-1-10-2-22-1-10000001100-11000
χ2222222-1-2-22-12-12-1-12-2-1-1-1-2-2-2-2112200-2-2000000001-11111-1-1022-211000000-1-1001-1000
χ2322222-1-2-22-12-12-1-1-22-1-1-122-2-211-2-2002200000000-11-1-111110-22-2-1-100000011001-1000
χ2422222-1-2-22-12-12-1-1-22-1-1-122-2-211-2-200-2-200000000-11-1-1111102-2211000000-1-100-11000
χ252222-1222-12-12-12-122-1-1-1-1-1-1-122-1-122002222-1-1-1-122-1-1-1-1-1-1200000-1-1-1-1-1-1000000000
χ262222-1222-12-12-12-122-1-1-1-1-1-1-122-1-1-2-200-2-2-2-2111122-1-1-1-1-1-1-200000111111000000000
χ272222-1222-12-12-12-1-2-2-1-1-111-1-122112200-2-2-2-2-1-1-1-1-2-211-1-11120000011-1-111000000000
χ282222-1222-12-12-12-1-2-2-1-1-111-1-12211-2-20022221111-2-211-1-111-200000-1-111-1-1000000000
χ292222-12-2-2-12-12-12-12-2-1-1-11111-2-2-1-1220022-2-2-1-1-1-1-221111-1-1-2000001111-1-1000000000
χ302222-12-2-2-12-12-12-12-2-1-1-11111-2-2-1-1-2-200-2-2221111-221111-1-1200000-1-1-1-111000000000
χ312222-12-2-2-12-12-12-1-22-1-1-1-1-111-2-2112200-2-222-1-1-1-12-2-1-11111-200000-1-11111000000000
χ322222-12-2-2-12-12-12-1-22-1-1-1-1-111-2-211-2-20022-2-211112-2-1-1111120000011-1-1-1-1000000000
χ3322-2-2220022-2-2-2-22002-2-2000000002-22-2000022-2-20000000000002-2000000002-200000
χ3422-2-2220022-2-2-2-22002-2-2000000002-2-22000022-2-2000000000000-2200000000-2200000
χ3522-2-2220022-2-2-2-22002-2-200000000-222-20000-2-2220000000000002-200000000-2200000
χ3622-2-2220022-2-2-2-22002-2-200000000-22-220000-2-222000000000000-22000000002-200000
χ372-2-22222i−2i-2-222-2-2200-22-2002i−2i2i−2i0000002i−2i2-2000000002i−2i000000002-2002i−2i000000000
χ382-2-22222i−2i-2-222-2-2200-22-2002i−2i2i−2i000000−2i2i-22000000002i−2i00000000-2200−2i2i000000000
χ392-2-2222−2i2i-2-222-2-2200-22-200−2i2i−2i2i0000002i−2i-2200000000−2i2i00000000-22002i−2i000000000
χ402-2-2222−2i2i-2-222-2-2200-22-200−2i2i−2i2i000000−2i2i2-200000000−2i2i000000002-200−2i2i000000000
χ412-2-22-122i−2i1-2-121-2-1001-11−i3i3−ii2i−2i3−300002i−2i2-2−i3i3−i3i300−i3i3−ii3−3000000-113−3−ii000000000
χ422-2-22-122i−2i1-2-121-2-1001-11−i3i3−ii2i−2i3−30000−2i2i-22i3−i3i3−i300−i3i3−ii3−30000001-1−33i−i000000000
χ432-2-22-122i−2i1-2-121-2-1001-11i3−i3−ii2i−2i−3300002i−2i2-2i3−i3i3−i300i3−i3−ii−33000000-11−33−ii000000000
χ442-2-22-122i−2i1-2-121-2-1001-11i3−i3−ii2i−2i−330000−2i2i-22−i3i3−i3i300i3−i3−ii−330000001-13−3i−i000000000
χ452-2-22-12−2i2i1-2-121-2-1001-11−i3i3i−i−2i2i−3300002i−2i-22i3−i3i3−i300−i3i3i−i−330000001-13−3−ii000000000
χ462-2-22-12−2i2i1-2-121-2-1001-11−i3i3i−i−2i2i−330000−2i2i2-2−i3i3−i3i300−i3i3i−i−33000000-11−33i−i000000000
χ472-2-22-12−2i2i1-2-121-2-1001-11i3−i3i−i−2i2i3−300002i−2i-22−i3i3−i3i300i3−i3i−i3−30000001-1−33−ii000000000
χ482-2-22-12−2i2i1-2-121-2-1001-11i3−i3i−i−2i2i3−30000−2i2i2-2i3−i3i3−i300i3−i3i−i3−3000000-113−3i−i000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2000000000000-2-2111111000000000000000000000
χ504444-2-244-2-2-2-2-2-21-4-411122-2-2-2-22200000000000022-1-111-1-1000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-214-4111222222-2-20000000000002-2-1-1-1-111000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-21-44111-2-2222222000000000000-2211-1-1-1-1000000000000000000000
χ5344-4-44-2004-2-42-42-200-22200000000004-400000000000000000000-22000000000000000
χ5444-4-44-2004-2-42-42-200-2220000000000-44000000000000000000002-2000000000000000
χ5544-4-4-2400-242-42-4-200-222000000004-4000000-2-22200000000000000000000000000000
χ5644-4-4-2400-242-42-4-200-22200000000-4400000022-2-200000000000000000000000000000
χ574-44-44400-4-4-4-444400-4-440000000000000000000000000000000000000000000000000
χ584-44-44-200-42-424-2-20022-20000000000000000000000000000000000000000−2i32i30000000
χ594-44-44-200-42-424-2-20022-200000000000000000000000000000000000000002i3−2i30000000
χ604-44-4-24002-42-4-24-20022-20000000000000000−2i32i32i3−2i300000000000000000000000000000
χ614-44-4-24002-42-4-24-20022-200000000000000002i3−2i3−2i32i300000000000000000000000000000
χ624-4-444-24i−4i-424-2-42-2002-22004i−4i−2i2i000000000000000000−2i2i00000000000000000000000
χ634-4-444-2−4i4i-424-2-42-2002-2200−4i4i2i−2i0000000000000000002i−2i00000000000000000000000
χ644-4-44-2-24i−4i22-2-222100-11-1−2i32i3−2i2i−2i2i23−2300000000000000i3−i3i−i−33000000000000000000000
χ654-4-44-2-24i−4i22-2-222100-11-12i3−2i3−2i2i−2i2i−232300000000000000−i3i3i−i3−3000000000000000000000
χ664-4-44-2-2−4i4i22-2-222100-11-1−2i32i32i−2i2i−2i−232300000000000000i3−i3−ii3−3000000000000000000000
χ674-4-44-2-2−4i4i22-2-222100-11-12i3−2i32i−2i2i−2i23−2300000000000000−i3i3−ii−33000000000000000000000
χ6888-8-8-4-400-4-444442002-2-20000000000000000000000000000000000000000000000000
χ698-88-8-4-4004444-4-4200-2-220000000000000000000000000000000000000000000000000

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