Finite Group Databasebeta

← Group #10594297

Character table — Group #10594297

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222244444444444444666666668888888812121212121212121212121212121212242436363636
order1222334466666623466666121212121212224412121212666121212121222444466661212121212126122444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-11-11-111-1-111-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-11111111111-11-11-1-111-1-111-1-111-1-1-1-1
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
χ511111111111111-11-1-1-1111-1-1111111111111-1-1-1-111-1-11-1-11-1-11111-1-111-1-1-1-1-111-1
χ611111111111111-11-1-1-1111-1-1111111111111-1-1-1-111-1-1-11-1-1-1111-1-1-1-1-1-1-1-1111-1-11
χ711111111111111-11-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1111-1-1-111111111-1-11-1-11
χ811111111111111-11-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-111-1-1-1-111-1-11111-111-1
χ9111111-1-111111111-111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-11-1-1-111111111-1-1-1-1-11-11-11
χ10111111-1-111111111-111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-11-111-111-1-11111-1-11-11-11-1
χ11111111-1-111111111-111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-11-11-1-11-1-111-1-1-1-111-111-11-1
χ12111111-1-111111111-111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111-1-11-11
χ13111111-1-1111111-111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111111-1-1-11111-1-1-1-1111-111-1-1
χ14111111-1-1111111-111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-111-1111-1-1-1-11111-11-1-111
χ15111111-1-1111111-111-1-111111-1-1-1-1-1-1111111-1-1-11-1-11111-1-11-1-1-11111-1-1-1-11-1-1-111
χ16111111-1-1111111-111-1-111111-1-1-1-1-1-1111111-1-1-11-1-111-1-1-1111-1-1-1-11111-1-1-1111-1-1
χ1722222-122-122-1-122-1222-1-1-122-1-12200000000-1-1-1-1-1-1-1-122020200-1-100-1-100-1-10000
χ1822222-122-122-1-122-1222-1-1-122-1-12200000000-1-1-1-1-1-1-1-1-2-20-20-20011001100110000
χ1922222-122-122-1-12-2-1-2-2-2-1-1-1-2-2-1-122000000001111-1-1112-2020-200-1-100-1-100110000
χ2022222-122-122-1-12-2-1-2-2-2-1-1-1-2-2-1-122000000001111-1-111-220-2020011001100-1-10000
χ2122222-1-2-2-122-1-122-1-222-1-1-1-2-211-2-200000000-1-1-1111112-20-20200-1-10011001-10000
χ2222222-1-2-2-122-1-122-1-222-1-1-1-2-211-2-200000000-1-1-111111-22020-2001100-1-100-110000
χ2322222-1-2-2-122-1-12-2-12-2-2-1-1-12211-2-200000000111-111-1-1220-20-200-1-1001100-110000
χ2422222-1-2-2-122-1-12-2-12-2-2-1-1-12211-2-200000000111-111-1-1-2-20202001100-1-1001-10000
χ252222-12222-1-122-12-12-1-1-1-1-1-1-122-1-12222-1-1-1-12-1-12-1-1-1-1002020-1-100-1-100-1-1000000
χ262222-12222-1-122-12-12-1-1-1-1-1-1-122-1-1-2-2-2-211112-1-12-1-1-1-100-20-201100110011000000
χ272222-12222-1-122-1-2-1-211-1-1-11122-1-12222-1-1-1-1-211-2-1-11100-20-20-1-100110011000000
χ282222-12222-1-122-1-2-1-211-1-1-11122-1-1-2-2-2-21111-211-2-1-1110020201100-1-100-1-1000000
χ292222-12-2-22-1-122-12-1-2-1-1-1-1-111-2-21122-2-211112-1-1-2111100-2020-1-100-1-10011000000
χ302222-12-2-22-1-122-12-1-2-1-1-1-1-111-2-211-2-222-1-1-1-12-1-1-211110020-2011001100-1-1000000
χ312222-12-2-22-1-122-1-2-1211-1-1-1-1-1-2-21122-2-21111-211211-1-10020-20-1-1001100-1-1000000
χ322222-12-2-22-1-122-1-2-1211-1-1-1-1-1-2-211-2-222-1-1-1-1-211211-1-100-20201100-1-10011000000
χ332-22-2222i−2i2-22-2-2-2020002-2-2002i−2i2i−2i2-22i−2i2i2i−2i−2i00002i−2i000000002-200000000000000
χ342-22-2222i−2i2-22-2-2-2020002-2-2002i−2i2i−2i-22−2i2i−2i−2i2i2i00002i−2i00000000-2200000000000000
χ352-22-222−2i2i2-22-2-2-2020002-2-200−2i2i−2i2i2-2−2i2i−2i−2i2i2i0000−2i2i000000002-200000000000000
χ362-22-222−2i2i2-22-2-2-2020002-2-200−2i2i−2i2i-222i−2i2i2i−2i−2i0000−2i2i00000000-2200000000000000
χ372-22-2-122i−2i21-1-2-210-10−i3i3-1113−32i−2i−ii2-22i−2i−i−iii0−i3i30−ii3−3000000-1100−i3i3003−3000000
χ382-22-2-122i−2i21-1-2-210-10−i3i3-1113−32i−2i−ii-22−2i2iii−i−i0−i3i30−ii3−30000001-100i3−i300−33000000
χ392-22-2-122i−2i21-1-2-210-10i3−i3-111−332i−2i−ii2-22i−2i−i−iii0i3−i30−ii−33000000-1100i3−i300−33000000
χ402-22-2-122i−2i21-1-2-210-10i3−i3-111−332i−2i−ii-22−2i2iii−i−i0i3−i30−ii−330000001-100−i3i3003−3000000
χ412-22-2-12−2i2i21-1-2-210-10−i3i3-111−33−2i2ii−i2-2−2i2iii−i−i0−i3i30i−i−33000000-1100−i3i300−33000000
χ422-22-2-12−2i2i21-1-2-210-10−i3i3-111−33−2i2ii−i-222i−2i−i−iii0−i3i30i−i−330000001-100i3−i3003−3000000
χ432-22-2-12−2i2i21-1-2-210-10i3−i3-1113−3−2i2ii−i2-2−2i2iii−i−i0i3−i30i−i3−3000000-1100i3−i3003−3000000
χ442-22-2-12−2i2i21-1-2-210-10i3−i3-1113−3−2i2ii−i-222i−2i−i−iii0i3−i30i−i3−30000001-100−i3i300−33000000
χ454444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-200000000-211-211110000000000000000000000
χ464444-2-244-2-2-2-2-2-2-41-42211122-2-2-2-2000000002-1-1211-1-10000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-241-4-2-211122222200000000-2112-1-1-1-10000000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-2-41422111-2-22222000000002-1-1-2-1-1110000000000000000000000
χ4944-4-44400-4-4-44-4404000-44-400000000000000000000000000000000000000000000
χ5044-4-44-2002-4-4-2240-20002-220000000000000000000000000000000000−2i32i300000000
χ5144-4-44-2002-4-4-2240-20002-2200000000000000000000000000000000002i3−2i300000000
χ5244-4-4-2400-4224-4-20-20002-220000000000−2i32i3−2i32i3000000000000000000000000000000
χ5344-4-4-2400-4224-4-20-20002-2200000000002i3−2i32i3−2i3000000000000000000000000000000
χ544-44-44-24i−4i-2-4422-40-2000-22200−2i2i4i−4i000000000000−2i2i000000000000000000000000
χ554-44-44-2−4i4i-2-4422-40-2000-222002i−2i−4i4i0000000000002i−2i000000000000000000000000
χ564-44-4-2-24i−4i-22-2222010−2i32i31-1-123−23−2i2i−2i2i000000000i3−i30i−i−330000000000000000000000
χ574-44-4-2-24i−4i-22-22220102i3−2i31-1-1−2323−2i2i−2i2i000000000−i3i30i−i3−30000000000000000000000
χ584-44-4-2-2−4i4i-22-2222010−2i32i31-1-1−23232i−2i2i−2i000000000i3−i30−ii3−30000000000000000000000
χ594-44-4-2-2−4i4i-22-22220102i3−2i31-1-123−232i−2i2i−2i000000000−i3i30−ii−330000000000000000000000
χ604-4-444400-44-4-44-404000-4-4400000000000000000000000000000000000000000000
χ614-4-444-20024-42-2-40-200022-2000000000000000000000000000000−2i32i3000000000000
χ624-4-444-20024-42-2-40-200022-20000000000000000000000000000002i3−2i3000000000000
χ634-4-44-2400-4-22-4420-200022-2000000000023−23−2323000000000000000000000000000000
χ644-4-44-2400-4-22-4420-200022-20000000000−232323−23000000000000000000000000000000
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).