Finite Group Databasebeta

← Group #10594194

Character table — Group #10594194

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222244444444444444666666668888888812121212121212121212121212121212242436363636
order1222334466666623466666121212121212224466666661212121212224444666612121212121212122444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-11111-111-1-1-1-1-1-11111-1-1-1-1
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
χ511111111111111-11-1-1-111111-1-11111111111-1-1-1-111-1-1-111-1-1-111-1-111-1-111-1-1-111-1
χ611111111111111-11-1-1-111111-1-11111111111-1-1-1-111-1-1-1-1-111-1-1-1-1-111-1-1-1-1111-1-11
χ711111111111111-11-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-111111-1-11111-1-11-1-11
χ811111111111111-11-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1111-1-111-1-111-1-111-111-1
χ9111111-1-111111111-111111-1-1-1-1-1-111-1-11111111-1-1-1-1-111-11-1-11111-1-1-1-1-1-1-11-11-11
χ10111111-1-111111111-111111-1-1-1-1-1-111-1-11111111-1-1-1-1-11-11-11-1-1-111-1-1-1-1111-11-11-1
χ11111111-1-111111111-111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-11-11-1111-1-11111-1-1-111-11-1
χ12111111-1-111111111-111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-11-111-1-1-1-11111111-1-11-11
χ13111111-1-1111111-111-1-1111-1-111-1-111-1-11111-1-1-11-1-111-11-1-11111-1-1-1-111-1-11-111-1-1
χ14111111-1-1111111-111-1-1111-1-111-1-111-1-11111-1-1-11-1-111-1-111-11-1-1-1-1-1-11111-11-1-111
χ15111111-1-1111111-111-1-1111-1-111-1-1-1-111-1-1-1-1-1-1-11-1-11111-1-11-1111111-1-1-1-11-1-1-111
χ16111111-1-1111111-111-1-1111-1-111-1-1-1-111-1-1-1-1-1-1-11-1-1111-111-1-1-1-11111-1-111-1111-1-1
χ1722222-122-122-1-122-12-1-1-1-1-1-1-1-1-1222222-1-1-1-12-1-12-1-1-1-120000200-1-1-1-1-1-100000000
χ1822222-122-122-1-122-12-1-1-1-1-1-1-1-1-122-2-2-2-211112-1-12-1-1-1-1-20000-20011111100000000
χ1922222-122-122-1-12-2-1-211-1-1-1-1-111222222-1-1-1-1-211-2-1-111-20000-20011-1-11100000000
χ2022222-122-122-1-12-2-1-211-1-1-1-1-11122-2-2-2-21111-211-2-1-11120000200-1-111-1-100000000
χ2122222-1-2-2-122-1-122-1-2-1-1-1-1-11111-2-222-2-2-1-1-1-12-1-1-2111120000-200-1-1111100000000
χ2222222-1-2-2-122-1-122-1-2-1-1-1-1-11111-2-2-2-22211112-1-1-21111-2000020011-1-1-1-100000000
χ2322222-1-2-2-122-1-12-2-1211-1-1-111-1-1-2-222-2-2-1-1-1-1-211211-1-1-200002001111-1-100000000
χ2422222-1-2-2-122-1-12-2-1211-1-1-111-1-1-2-2-2-2221111-211211-1-120000-200-1-1-1-11100000000
χ252222-12222-1-122-12-1222-1-1-12222-1-100000000-1-1-1-1-1-1-1-1022220-1-1000000-1-1-1-10000
χ262222-12222-1-122-12-1222-1-1-12222-1-100000000-1-1-1-1-1-1-1-10-2-2-2-201100000011110000
χ272222-12222-1-122-1-2-1-2-2-2-1-1-122-2-2-1-1000000001111-1-111022-2-20-1-1000000-1-1110000
χ282222-12222-1-122-1-2-1-2-2-2-1-1-122-2-2-1-1000000001111-1-1110-2-22201100000011-1-10000
χ292222-12-2-22-1-122-12-1-222-1-1-1-2-2-2-21100000000-1-1-11111102-22-20-1-1000000111-10000
χ302222-12-2-22-1-122-12-1-222-1-1-1-2-2-2-21100000000-1-1-1111110-22-22011000000-1-1-110000
χ312222-12-2-22-1-122-1-2-12-2-2-1-1-1-2-2221100000000111-111-1-102-2-220-1-100000011-110000
χ322222-12-2-22-1-122-1-2-12-2-2-1-1-1-2-2221100000000111-111-1-10-222-2011000000-1-11-10000
χ332-22-2222i−2i2-22-2-2-2020002-2-22i−2i002i−2i2-22i−2i22-2-200002i−2i0000000000002i−2i0000000000
χ342-22-2222i−2i2-22-2-2-2020002-2-22i−2i002i−2i-22−2i2i-2-22200002i−2i000000000000−2i2i0000000000
χ352-22-222−2i2i2-22-2-2-2020002-2-2−2i2i00−2i2i2-2−2i2i22-2-20000−2i2i000000000000−2i2i0000000000
χ362-22-222−2i2i2-22-2-2-2020002-2-2−2i2i00−2i2i-222i−2i-2-2220000−2i2i0000000000002i−2i0000000000
χ372-22-22-12i−2i-1-2211-20-10−i3i3-111−ii3−32i−2i2-22i−2i-1-1110−i3i30−ii3−300000000−i3i3−ii3−300000000
χ382-22-22-12i−2i-1-2211-20-10−i3i3-111−ii3−32i−2i-22−2i2i11-1-10−i3i30−ii3−300000000i3−i3i−i−3300000000
χ392-22-22-12i−2i-1-2211-20-10i3−i3-111−ii−332i−2i2-22i−2i-1-1110i3−i30−ii−3300000000i3−i3−ii−3300000000
χ402-22-22-12i−2i-1-2211-20-10i3−i3-111−ii−332i−2i-22−2i2i11-1-10i3−i30−ii−3300000000−i3i3i−i3−300000000
χ412-22-22-1−2i2i-1-2211-20-10−i3i3-111i−i−33−2i2i2-2−2i2i-1-1110−i3i30i−i−3300000000−i3i3i−i−3300000000
χ422-22-22-1−2i2i-1-2211-20-10−i3i3-111i−i−33−2i2i-222i−2i11-1-10−i3i30i−i−3300000000i3−i3−ii3−300000000
χ432-22-22-1−2i2i-1-2211-20-10i3−i3-111i−i3−3−2i2i2-2−2i2i-1-1110i3−i30i−i3−300000000i3−i3i−i3−300000000
χ442-22-22-1−2i2i-1-2211-20-10i3−i3-111i−i3−3−2i2i-222i−2i11-1-10i3−i30i−i3−300000000−i3i3−ii−3300000000
χ454444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-200000000-211-211110000000000000000000000
χ464444-2-244-2-2-2-2-2-2-41-422111-2-222-2-2000000002-1-1211-1-10000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-241-4-2-211122222200000000-2112-1-1-1-10000000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-2-4142211122-2-222000000002-1-1-2-1-1110000000000000000000000
χ4944-4-44400-4-4-44-4404000-44-400000000000000000000000000000000000000000000
χ5044-4-44-2002-4-4-2240-20002-220000000000−2i32i3−2i32i3000000000000000000000000000000
χ5144-4-44-2002-4-4-2240-20002-2200000000002i3−2i32i3−2i3000000000000000000000000000000
χ5244-4-4-2400-4224-4-20-20002-220000000000000000000000000000−2i32i300000000000000
χ5344-4-4-2400-4224-4-20-20002-2200000000000000000000000000002i3−2i300000000000000
χ544-44-4-244i−4i42-2-4-420-2000-2224i−4i00−2i2i000000000000−2i2i000000000000000000000000
χ554-44-4-24−4i4i42-2-4-420-2000-222−4i4i002i−2i0000000000002i−2i000000000000000000000000
χ564-44-4-2-24i−4i-22-2222010−2i32i31-1-1−2i2i23−23−2i2i000000000i3−i30i−i−330000000000000000000000
χ574-44-4-2-24i−4i-22-22220102i3−2i31-1-1−2i2i−2323−2i2i000000000−i3i30i−i3−30000000000000000000000
χ584-44-4-2-2−4i4i-22-2222010−2i32i31-1-12i−2i−23232i−2i000000000i3−i30−ii3−30000000000000000000000
χ594-44-4-2-2−4i4i-22-22220102i3−2i31-1-12i−2i23−232i−2i000000000−i3i30−ii−330000000000000000000000
χ604-4-444400-44-4-44-404000-4-4400000000000000000000000000000000000000000000
χ614-4-444-20024-42-2-40-200022-20000000000−2i32i32i3−2i3000000000000000000000000000000
χ624-4-444-20024-42-2-40-200022-200000000002i3−2i3−2i32i3000000000000000000000000000000
χ634-4-44-2400-4-22-4420-200022-200000000000000000000000000000000000023−23000000
χ644-4-44-2400-4-22-4420-200022-2000000000000000000000000000000000000−2323000000
χ6588-8-8-4-400444-44-402000-22-200000000000000000000000000000000000000000000
χ668-8-88-4-4004-444-4402000-2-2200000000000000000000000000000000000000000000

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