Finite Group Databasebeta

← Group #10595124

Character table — Group #10595124

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222244444444444444666666668888888812121212121212121212121212121212242436363636
order12223344666666223666666612121212444412121212666666121224444466121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1-111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-11-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11-1-11
χ611111111111111-1-11-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111-111-1
χ711111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-111-1
χ811111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111111-1-11
χ9111111-1-11111111-1111-1-1111-1-1-1-111-1-1-1-1-1-11-111-1-1-1-11-11-11-11111-1-111-1-11-1-11-11
χ10111111-1-11111111-1111-1-1111-1-1-1-111-1-1-1-1-1-11-111-1-1-1-1-111-1-11-1-1111111-1-1-111-11-1
χ11111111-1-11111111-1111-1-1111-1-1-1-1-1-11111111-111-1-1-1-11-1-111-111-1-1-1-1-1-1111-11-11-1
χ12111111-1-11111111-1111-1-1111-1-1-1-1-1-11111111-111-1-1-1-1-11-11-11-1-1-1-111-1-111-11-11-11
χ13111111-1-1111111-111-1-111111-1-1-1-111-1-1-1-1-1-1-11-1-111-1-11-1-11-111111-1-1-1-111-11-1-111
χ14111111-1-1111111-111-1-111111-1-1-1-111-1-1-1-1-1-1-11-1-111-1-1-11-111-1-1-11111-1-1111-111-1-1
χ15111111-1-1111111-111-1-111111-1-1-1-1-1-1111111-11-1-111-1-11-11-1-1111-1-1-1-111-1-1-1111-1-1
χ16111111-1-1111111-111-1-111111-1-1-1-1-1-1111111-11-1-111-1-1-111-11-1-1-1-1-11111-1-11-1-1-111
χ1722222-122-122-1-1222-12222-1-1-122-1-100000000-1-1-1-1-1-1-1-1220022-1-100-1-10000-1-10000
χ1822222-122-122-1-1222-12222-1-1-122-1-100000000-1-1-1-1-1-1-1-1-2-200-2-21100110000110000
χ1922222-122-122-1-12-2-2-1-2-2-2-2-1-1-122-1-100000000111111-1-12200-2-2-1-100-1-10000110000
χ2022222-122-122-1-12-2-2-1-2-2-2-2-1-1-122-1-100000000111111-1-1-2-200221100110000-1-10000
χ2122222-1-2-2-122-1-122-2-122-2-2-1-1-1-2-21100000000-11-1-111112-2002-2-1-100110000-110000
χ2222222-1-2-2-122-1-122-2-122-2-2-1-1-1-2-21100000000-11-1-11111-2200-221100-1-100001-10000
χ2322222-1-2-2-122-1-12-22-1-2-222-1-1-1-2-211000000001-111-1-1112-200-22-1-1001100001-10000
χ2422222-1-2-2-122-1-12-22-1-2-222-1-1-1-2-211000000001-111-1-111-22002-21100-1-10000-110000
χ252222-12222-1-122-122-1-1-1-1-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-100220000-1-100-1-1-1-1000000
χ262222-12222-1-122-122-1-1-1-1-1-1-1-1-1-122-2-2-2-2111122-1-1-1-1-1-100-2-2000011001111000000
χ272222-12222-1-122-1-2-2-11111-1-1-1-1-1222222-1-1-1-1-2-21111-1-100-2-20000-1-1001111000000
χ282222-12222-1-122-1-2-2-11111-1-1-1-1-122-2-2-2-21111-2-21111-1-1002200001100-1-1-1-1000000
χ292222-12-2-22-1-122-12-2-1-1-111-1-1-111-2-222-2-211112-2-1-11111002-20000-1-100-1-111000000
χ302222-12-2-22-1-122-12-2-1-1-111-1-1-111-2-2-2-222-1-1-1-12-2-1-1111100-220000110011-1-1000000
χ312222-12-2-22-1-122-1-22-111-1-1-1-1-111-2-222-2-21111-2211-1-11100-220000-1-10011-1-1000000
χ322222-12-2-22-1-122-1-22-111-1-1-1-1-111-2-2-2-222-1-1-1-1-2211-1-111002-200001100-1-111000000
χ332-22-2222-2-22-22-2-20020000-2-222-22-22i−2i2i−2i2i2i−2i−2i0000002-2000000002i−2i000000000000
χ342-22-2222-2-22-22-2-20020000-2-222-22-2−2i2i−2i2i−2i−2i2i2i0000002-200000000−2i2i000000000000
χ352-22-222-22-22-22-2-20020000-2-22-22-222i−2i−2i2i−2i−2i2i2i000000-22000000002i−2i000000000000
χ362-22-222-22-22-22-2-20020000-2-22-22-22−2i2i2i−2i2i2i−2i−2i000000-2200000000−2i2i000000000000
χ372-22-2-122-2-2-112-2100-1−i3i3−i3i311-1-112-22i−2i2i−2i−i−iii00−i3i3−i3i3-1100000000−ii003−33−3000000
χ382-22-2-122-2-2-112-2100-1−i3i3−i3i311-1-112-2−2i2i−2i2iii−i−i00−i3i3−i3i3-1100000000i−i00−33−33000000
χ392-22-2-122-2-2-112-2100-1i3−i3i3−i311-1-112-22i−2i2i−2i−i−iii00i3−i3i3−i3-1100000000−ii00−33−33000000
χ402-22-2-122-2-2-112-2100-1i3−i3i3−i311-1-112-2−2i2i−2i2iii−i−i00i3−i3i3−i3-1100000000i−i003−33−3000000
χ412-22-2-12-22-2-112-2100-1−i3i3i3−i311-11-1-222i−2i−2i2iii−i−i00−i3i3i3−i31-100000000−ii003−3−33000000
χ422-22-2-12-22-2-112-2100-1−i3i3i3−i311-11-1-22−2i2i2i−2i−i−iii00−i3i3i3−i31-100000000i−i00−333−3000000
χ432-22-2-12-22-2-112-2100-1i3−i3−i3i311-11-1-222i−2i−2i2iii−i−i00i3−i3−i3i31-100000000−ii00−333−3000000
χ442-22-2-12-22-2-112-2100-1i3−i3−i3i311-11-1-22−2i2i2i−2i−i−iii00i3−i3−i3i31-100000000i−i003−3−33000000
χ454444-2-244-2-2-2-2-2-2441-2-2-2-2111-2-2-2-200000000-2-21111110000000000000000000000
χ464444-2-244-2-2-2-2-2-2-4-412222111-2-2-2-20000000022-1-1-1-1110000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-24-41-2-222111222200000000-2211-1-1-1-10000000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-2-44122-2-21112222000000002-2-1-111-1-10000000000000000000000
χ4944-4-444004-44-4-4-400400004-4-4000000000000000000000000000000000000000000
χ5044-4-44-200-2-4422-400-20000-22200000000000000000000000000000023−230000000000
χ5144-4-44-200-2-4422-400-20000-222000000000000000000000000000000−23230000000000
χ5244-4-4-240042-2-4-4200-20000-2220000000023−2323−23000000000000000000000000000000
χ5344-4-4-240042-2-4-4200-20000-22200000000−2323−2323000000000000000000000000000000
χ544-44-44-24-424-4-22-400-2000022-24-4-2200000000000000-220000000000000000000000
χ554-44-44-2-4424-4-22-400-2000022-2-442-2000000000000002-20000000000000000000000
χ564-44-4-2-24-42-22-222001−2i32i3−2i32i3-1-11-22-220000000000i3−i3i3−i31-10000000000000000000000
χ574-44-4-2-24-42-22-2220012i3−2i32i3−2i3-1-11-22-220000000000−i3i3−i3i31-10000000000000000000000
χ584-44-4-2-2-442-22-222001−2i32i32i3−2i3-1-112-22-20000000000i3−i3−i3i3-110000000000000000000000
χ594-44-4-2-2-442-22-2220012i3−2i3−2i32i3-1-112-22-20000000000−i3i3i3−i3-110000000000000000000000
χ604-4-444400-4-4-4-4440040000-44-4000000000000000000000000000000000000000000
χ614-4-444-2002-4-42-2400-200002-2200000000000000000000000000−2i32i300000000000000
χ624-4-444-2002-4-42-2400-200002-22000000000000000000000000002i3−2i300000000000000
χ634-4-44-2400-422-44-200-200002-2200000000−2i32i32i3−2i3000000000000000000000000000000
χ644-4-44-2400-422-44-200-200002-22000000002i3−2i3−2i32i3000000000000000000000000000000
χ6588-8-8-4-400-44-444400200002-2-2000000000000000000000000000000000000000000
χ668-8-88-4-4004444-4-40020000-22-2000000000000000000000000000000000000000000

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