Finite Group Databasebeta

← Group #10595121

Character table — Group #10595121

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222244444444444444666666668888888812121212121212121212121212121212242436363636
order1222334466666622366666661212121244441212121266666612124444441212121212121212121212122444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-111-111-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-11-1-11111-1-1-1-111-1-1-1-1
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
χ511111111111111-1-11-1-1-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-111-1-1
χ611111111111111-1-11-1-1-1-1111111111111111-1-1-1-1-1-111-111-1-1-111-1-1-1-1-1-1-1-111-1-111
χ711111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-111111111-1-1-1-111
χ811111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-111111111-1-1
χ9111111-1-11111111-1111-1-1111-1-1-1-111-1-1-1-1-1-11-111-1-1-1-111-11-1-11111-1-111-1-11-1-111-1
χ10111111-1-11111111-1111-1-1111-1-1-1-111-1-1-1-1-1-11-111-1-1-1-1-1-111-1111-1-11111-1-1-111-1-11
χ11111111-1-11111111-1111-1-1111-1-1-1-1-1-11111111-111-1-1-1-111-1-11-1-1-111-1-1-1-1111-11-1-11
χ12111111-1-11111111-1111-1-1111-1-1-1-1-1-11111111-111-1-1-1-1-1-11-111-1-1-1-111-1-111-11-111-1
χ13111111-1-1111111-111-1-111111-1-1-1-111-1-1-1-1-1-1-11-1-111-1-11-11-11-11111-1-1-1-111-11-11-11
χ14111111-1-1111111-111-1-111111-1-1-1-111-1-1-1-1-1-1-11-1-111-1-1-11-1-11111-1-111-1-1111-11-11-1
χ15111111-1-1111111-111-1-111111-1-1-1-1-1-1111111-11-1-111-1-11-111-1-1-1-111-1-111-1-1-111-11-1
χ16111111-1-1111111-111-1-111111-1-1-1-1-1-1111111-11-1-111-1-1-11-11-11-1-1-1-11111-1-11-1-11-11
χ1722222-12222-1-1-1222-12222-1-1-122-1-100000000-1-1-1-1-1-1-1-122200200-1-1-1-10000-1-10000
χ1822222-12222-1-1-1222-12222-1-1-122-1-100000000-1-1-1-1-1-1-1-1-2-2-200-20011110000110000
χ1922222-12222-1-1-12-2-2-1-2-2-2-2-1-1-122-1-100000000111111-1-12-2-200200-1-1-1-10000110000
χ2022222-12222-1-1-12-2-2-1-2-2-2-2-1-1-122-1-100000000111111-1-1-22200-20011110000-1-10000
χ2122222-1-2-222-1-1-122-2-122-2-2-1-1-1-2-21100000000-11-1-1111122-200-200-1-1110000-110000
χ2222222-1-2-222-1-1-122-2-122-2-2-1-1-1-2-21100000000-11-1-11111-2-220020011-1-100001-10000
χ2322222-1-2-222-1-1-12-22-1-2-222-1-1-1-2-211000000001-111-1-1112-2200-200-1-11100001-10000
χ2422222-1-2-222-1-1-12-22-1-2-222-1-1-1-2-211000000001-111-1-111-22-20020011-1-10000-110000
χ252222-1222-1-1222-122-1-1-1-1-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1000220-1-10000-1-1-1-1000000
χ262222-1222-1-1222-122-1-1-1-1-1-1-1-1-1-122-2-2-2-2111122-1-1-1-1-1-1000-2-201100001111000000
χ272222-1222-1-1222-1-2-2-11111-1-1-1-1-1222222-1-1-1-1-2-21111-1-1000-2-20-1-100001111000000
χ282222-1222-1-1222-1-2-2-11111-1-1-1-1-122-2-2-2-21111-2-21111-1-1000220110000-1-1-1-1000000
χ292222-12-2-2-1-1222-12-2-1-1-111-1-1-111-2-222-2-211112-2-1-111110002-20-1-10000-1-111000000
χ302222-12-2-2-1-1222-12-2-1-1-111-1-1-111-2-2-2-222-1-1-1-12-2-1-11111000-22011000011-1-1000000
χ312222-12-2-2-1-1222-1-22-111-1-1-1-1-111-2-222-2-21111-2211-1-111000-220-1-1000011-1-1000000
χ322222-12-2-2-1-1222-1-22-111-1-1-1-1-111-2-2-2-222-1-1-1-1-2211-1-1110002-20110000-1-111000000
χ332-22-2222-22-2-2-22-20020000-2-222-22-22i−2i2i−2i2i2i−2i−2i0000002-20000002i−2i00000000000000
χ342-22-2222-22-2-2-22-20020000-2-222-22-2−2i2i−2i2i−2i−2i2i2i0000002-2000000−2i2i00000000000000
χ352-22-222-222-2-2-22-20020000-2-22-22-222i−2i−2i2i−2i−2i2i2i000000-220000002i−2i00000000000000
χ362-22-222-222-2-2-22-20020000-2-22-22-22−2i2i2i−2i2i2i−2i−2i000000-22000000−2i2i00000000000000
χ372-22-2-122-2-11-2-22100-1−i3i3−i3i311-1-112-22i−2i2i−2i−i−iii00−i3i3−i3i3-11000000−ii00003−33−3000000
χ382-22-2-122-2-11-2-22100-1−i3i3−i3i311-1-112-2−2i2i−2i2iii−i−i00−i3i3−i3i3-11000000i−i0000−33−33000000
χ392-22-2-122-2-11-2-22100-1i3−i3i3−i311-1-112-22i−2i2i−2i−i−iii00i3−i3i3−i3-11000000−ii0000−33−33000000
χ402-22-2-122-2-11-2-22100-1i3−i3i3−i311-1-112-2−2i2i−2i2iii−i−i00i3−i3i3−i3-11000000i−i00003−33−3000000
χ412-22-2-12-22-11-2-22100-1−i3i3i3−i311-11-1-222i−2i−2i2iii−i−i00−i3i3i3−i31-1000000−ii00003−3−33000000
χ422-22-2-12-22-11-2-22100-1−i3i3i3−i311-11-1-22−2i2i2i−2i−i−iii00−i3i3i3−i31-1000000i−i0000−333−3000000
χ432-22-2-12-22-11-2-22100-1i3−i3−i3i311-11-1-222i−2i−2i2iii−i−i00i3−i3−i3i31-1000000−ii0000−333−3000000
χ442-22-2-12-22-11-2-22100-1i3−i3−i3i311-11-1-22−2i2i2i−2i−i−iii00i3−i3−i3i31-1000000i−i00003−3−33000000
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
χ4944-4-44400-444-4-4-400400004-4-4000000000000000000000000000000000000000000
χ5044-4-44-200-44-222-400-20000-22200000000000000000000000000000023−230000000000
χ5144-4-44-200-44-222-400-20000-222000000000000000000000000000000−23230000000000
χ5244-4-4-24002-24-4-4200-20000-2220000000023−2323−23000000000000000000000000000000
χ5344-4-4-24002-24-4-4200-20000-22200000000−2323−2323000000000000000000000000000000
χ544-44-44-24-44-422-2-400-2000022-24-4-2200000000000000-220000000000000000000000
χ554-44-44-2-444-422-2-400-2000022-2-442-2000000000000002-20000000000000000000000
χ564-44-4-2-24-4-2222-22001−2i32i3−2i32i3-1-11-22-220000000000i3−i3i3−i31-10000000000000000000000
χ574-44-4-2-24-4-2222-220012i3−2i32i3−2i3-1-11-22-220000000000−i3i3−i3i31-10000000000000000000000
χ584-44-4-2-2-44-2222-22001−2i32i32i3−2i3-1-112-22-20000000000i3−i3−i3i3-110000000000000000000000
χ594-44-4-2-2-44-2222-220012i3−2i3−2i32i3-1-112-22-20000000000−i3i3i3−i3-110000000000000000000000
χ604-4-444400-4-4-44-440040000-44-4000000000000000000000000000000000000000000
χ614-4-444-200-4-42-22400-200002-22000000000000000000000000000023−23000000000000
χ624-4-444-200-4-42-22400-200002-220000000000000000000000000000−2323000000000000
χ634-4-44-240022-44-4-200-200002-2200000000−2i32i32i3−2i3000000000000000000000000000000
χ644-4-44-240022-44-4-200-200002-22000000002i3−2i3−2i32i3000000000000000000000000000000
χ6588-8-8-4-4004-4-444400200002-2-2000000000000000000000000000000000000000000
χ668-8-88-4-400444-44-40020000-22-2000000000000000000000000000000000000000000

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