Finite Group Databasebeta

← Group #10594298

Character table — Group #10594298

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222244444444444444666666668888888812121212121212121212121212121212242436363636
order122233446666662346666612121212121222441212121266612121212122444446612121212121212126122244
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-11-11-1-11111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-111-1-11111-1-1-1-1
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
χ511111111111111-11-1-1-111111-1-11111111111-1-1-1-111-1-11-1-1-11-111-1-1-1-1-1-1-1-1111-11-1
χ611111111111111-11-1-1-111111-1-11111111111-1-1-1-111-1-1-1-11-1-1111-1-111-1-111-1-1-11-11
χ711111111111111-11-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1-111-1-111-1-111-11-11
χ811111111111111-11-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-11-1-111111111-1-11-11-1
χ9111111-1-111111111-111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-111-1-1-111111-1-1-1-1111-11-1-11
χ10111111-1-111111111-111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-111-11-1111111-1-1-1-1-11-111-1
χ11111111-1-111111111-111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-11-1-11-11-1-1-1-1-1-111111-1-111-1
χ12111111-1-111111111-111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-111-1-11
χ13111111-1-1111111-111-1-1111-1-111-1-111-1-1-1-1-1-1-1-1-11-1-1111-111-1-111-1-11111-1-11-111-1-1
χ14111111-1-1111111-111-1-1111-1-111-1-111-1-1-1-1-1-1-1-1-11-1-111-1-1-111111-1-1-1-11111-11-1-111
χ15111111-1-1111111-111-1-1111-1-111-1-1-1-1111111-1-1-11-1-111111-1-1-1-1-11111-1-1-1-11-1-1-111
χ16111111-1-1111111-111-1-1111-1-111-1-1-1-1111111-1-1-11-1-111-11-1-111-1-111-1-1-1-111-1111-1-1
χ1722222-1222-12-12-12-1222-1-1-1-1-1222200000000-1-1-1-1-1-1-1-12020220000-1-100-1-1-1-10000
χ1822222-1222-12-12-12-1222-1-1-1-1-1222200000000-1-1-1-1-1-1-1-1-20-20-2-20000110011110000
χ1922222-1222-12-12-1-2-1-2-2-2-1-1-1-1-1-2-222000000001111-1-11120-202-20000110011-1-10000
χ2022222-1222-12-12-1-2-1-2-2-2-1-1-1-1-1-2-222000000001111-1-111-2020-220000-1-100-1-1110000
χ2122222-1-2-22-12-12-12-1-222-1-1-111-2-2-2-200000000-1-1-11111120-20-2200001100-1-1-110000
χ2222222-1-2-22-12-12-12-1-222-1-1-111-2-2-2-200000000-1-1-111111-20202-20000-1-100111-10000
χ2322222-1-2-22-12-12-1-2-12-2-2-1-1-11122-2-200000000111-111-1-12020-2-20000-1-10011-110000
χ2422222-1-2-22-12-12-1-2-12-2-2-1-1-11122-2-200000000111-111-1-1-20-202200001100-1-11-10000
χ252222-1222-12-12-122-12-1-1-1-1-122-1-1-1-12222-1-1-1-12-1-12-1-1-1-1020200-1-1-1-100-1-100000000
χ262222-1222-12-12-122-12-1-1-1-1-122-1-1-1-1-2-2-2-211112-1-12-1-1-1-10-20-2001111001100000000
χ272222-1222-12-12-12-2-1-211-1-1-12211-1-12222-1-1-1-1-211-2-1-1110-20-200-1-111001100000000
χ282222-1222-12-12-12-2-1-211-1-1-12211-1-1-2-2-2-21111-211-2-1-11102020011-1-100-1-100000000
χ292222-12-2-2-12-12-122-1-2-1-1-1-1-1-2-2111122-2-211112-1-1-21111020-200-1-1-1-1001100000000
χ302222-12-2-2-12-12-122-1-2-1-1-1-1-1-2-21111-2-222-1-1-1-12-1-1-211110-20200111100-1-100000000
χ312222-12-2-2-12-12-12-2-1211-1-1-1-2-2-1-11122-2-21111-211211-1-10-20200-1-11100-1-100000000
χ322222-12-2-2-12-12-12-2-1211-1-1-1-2-2-1-111-2-222-1-1-1-1-211211-1-1020-20011-1-1001100000000
χ3322-2-2222i−2i-2-222-2-2020002-2-22i−2i002i−2i2-22i−2i2i2i−2i−2i00002i−2i000000002-200000000000000
χ3422-2-2222i−2i-2-222-2-2020002-2-22i−2i002i−2i-22−2i2i−2i−2i2i2i00002i−2i00000000-2200000000000000
χ3522-2-222−2i2i-2-222-2-2020002-2-2−2i2i00−2i2i2-2−2i2i−2i−2i2i2i0000−2i2i000000002-200000000000000
χ3622-2-222−2i2i-2-222-2-2020002-2-2−2i2i00−2i2i-222i−2i2i2i−2i−2i0000−2i2i00000000-2200000000000000
χ3722-2-2-122i−2i1-2-121-20-10−i3i3-1112i−2i3−3−ii2-22i−2i−i−iii0−i3i30−ii3−3000000-11−i3i3003−300000000
χ3822-2-2-122i−2i1-2-121-20-10−i3i3-1112i−2i3−3−ii-22−2i2iii−i−i0−i3i30−ii3−30000001-1i3−i300−3300000000
χ3922-2-2-122i−2i1-2-121-20-10i3−i3-1112i−2i−33−ii2-22i−2i−i−iii0i3−i30−ii−33000000-11i3−i300−3300000000
χ4022-2-2-122i−2i1-2-121-20-10i3−i3-1112i−2i−33−ii-22−2i2iii−i−i0i3−i30−ii−330000001-1−i3i3003−300000000
χ4122-2-2-12−2i2i1-2-121-20-10−i3i3-111−2i2i−33i−i2-2−2i2iii−i−i0−i3i30i−i−33000000-11−i3i300−3300000000
χ4222-2-2-12−2i2i1-2-121-20-10−i3i3-111−2i2i−33i−i-222i−2i−i−iii0−i3i30i−i−330000001-1i3−i3003−300000000
χ4322-2-2-12−2i2i1-2-121-20-10i3−i3-111−2i2i3−3i−i2-2−2i2iii−i−i0i3−i30i−i3−3000000-11i3−i3003−300000000
χ4422-2-2-12−2i2i1-2-121-20-10i3−i3-111−2i2i3−3i−i-222i−2i−i−iii0i3−i30i−i3−30000001-1−i3i300−3300000000
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
χ4944-4-44-24i−4i-424-2-420-2000-222−2i2i004i−4i000000000000−2i2i000000000000000000000000
χ5044-4-44-2−4i4i-424-2-420-2000-2222i−2i00−4i4i0000000000002i−2i000000000000000000000000
χ5144-4-4-2-24i−4i22-2-222010−2i32i31-1-1−2i2i23−23−2i2i000000000i3−i30i−i−330000000000000000000000
χ5244-4-4-2-24i−4i22-2-2220102i3−2i31-1-1−2i2i−2323−2i2i000000000−i3i30i−i3−30000000000000000000000
χ5344-4-4-2-2−4i4i22-2-222010−2i32i31-1-12i−2i−23232i−2i000000000i3−i30−ii3−30000000000000000000000
χ5444-4-4-2-2−4i4i22-2-2220102i3−2i31-1-12i−2i23−232i−2i000000000−i3i30−ii−330000000000000000000000
χ554-44-44400-44-4-44-404000-44-400000000000000000000000000000000000000000000
χ564-44-44-200-4-2-42420-20002-220000000000000000000000000000000023−230000000000
χ574-44-44-200-4-2-42420-20002-2200000000000000000000000000000000−23230000000000
χ584-44-4-2400242-4-2-40-20002-220000000000−2i32i3−2i32i3000000000000000000000000000000
χ594-44-4-2400242-4-2-40-20002-2200000000002i3−2i32i3−2i3000000000000000000000000000000
χ604-4-4444004-4-4-4-4404000-4-4400000000000000000000000000000000000000000000
χ614-4-444-20042-42-4-20-200022-2000000000000000000000000000000000000−2i32i3000000
χ624-4-444-20042-42-4-20-200022-20000000000000000000000000000000000002i3−2i3000000
χ634-4-44-2400-2-42-4240-200022-2000000000023−23−2323000000000000000000000000000000
χ644-4-44-2400-2-42-4240-200022-20000000000−232323−23000000000000000000000000000000
χ658-88-8-4-4004-444-4402000-22-200000000000000000000000000000000000000000000
χ668-8-88-4-400-44444-402000-2-2200000000000000000000000000000000000000000000

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