Finite Group Databasebeta

← Group #10594091

Character table — Group #10594091

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222244444444444444666666668888888812121212121212121212121212121212242436363636
order12223344666666234666661212121212122244121212126661212121212244444666612121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-11-1-11-111-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1111111111-111-11-1-111-1-1-1-11111-1-1-1-1
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
χ511111111111111-11-1-1-1111-1-1111111111111-1-1-1-111-1-11-11-1-1-11111-1-1-1-111-1-11-11-1
χ611111111111111-11-1-1-1111-1-1111111111111-1-1-1-111-1-1-1-1-11-1111-1-1-1-1-1-1-1-111-11-11
χ711111111111111-11-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-1-111111111-1-1-11-11
χ811111111111111-11-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1111-1-1-1-11111-1-1111-11-1
χ9111111-1-111111111-111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-11-1-111-1111111-1-1-1-1-11-111-1
χ10111111-1-111111111-111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-11-11111-1-111-1-1111-11-1-11
χ11111111-1-111111111-111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111-11-1-1-1-111-1-111-1-1-111-1-11
χ12111111-1-111111111-111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-111111-1-111-1
χ13111111-1-1111111-111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-11111-1-1-111111-1-111-1-11-1-1-111
χ14111111-1-1111111-111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1111-1-111-1-1-1-11111-1111-1-1
χ15111111-1-1111111-111-1-111111-1-1-1-1-1-1111111-1-1-11-1-1111-1-1-111-1-11111-1-1-1-11-111-1-1
χ16111111-1-1111111-111-1-111111-1-1-1-1-1-1111111-1-1-11-1-111-1-1111-1-1-1-1-111-1-111-11-1-111
χ1722222-1222-12-12-12-1222-1-1-12222-1-100000000-1-1-1-1-1-1-1-120220200-1-10000-1-1-1-10000
χ1822222-1222-12-12-12-1222-1-1-12222-1-100000000-1-1-1-1-1-1-1-1-20-2-20-20011000011110000
χ1922222-1222-12-12-1-2-1-2-2-2-1-1-1-2-222-1-1000000001111-1-111202-20-200-1-10000-1-1110000
χ2022222-1222-12-12-1-2-1-2-2-2-1-1-1-2-222-1-1000000001111-1-111-20-22020011000011-1-10000
χ2122222-1-2-22-12-12-12-1-222-1-1-1-2-2-2-21100000000-1-1-11111120-220-200-1-10000111-10000
χ2222222-1-2-22-12-12-12-1-222-1-1-1-2-2-2-21100000000-1-1-111111-202-20200110000-1-1-110000
χ2322222-1-2-22-12-12-1-2-12-2-2-1-1-122-2-21100000000111-111-1-120-2-20200-1-1000011-110000
χ2422222-1-2-22-12-12-1-2-12-2-2-1-1-122-2-21100000000111-111-1-1-20220-200110000-1-11-10000
χ252222-1222-12-12-122-12-1-1-1-1-1-1-1-1-1222222-1-1-1-12-1-12-1-1-1-1020020-1-100-1-1-1-100000000
χ262222-1222-12-12-122-12-1-1-1-1-1-1-1-1-122-2-2-2-211112-1-12-1-1-1-10-200-201100111100000000
χ272222-1222-12-12-12-2-1-211-1-1-111-1-1222222-1-1-1-1-211-2-1-1110-200-20-1-100111100000000
χ282222-1222-12-12-12-2-1-211-1-1-111-1-122-2-2-2-21111-211-2-1-1110200201100-1-1-1-100000000
χ292222-12-2-2-12-12-122-1-2-1-1-1-1-11111-2-222-2-211112-1-1-211110-20020-1-100-1-11100000000
χ302222-12-2-2-12-12-122-1-2-1-1-1-1-11111-2-2-2-222-1-1-1-12-1-1-211110200-20110011-1-100000000
χ312222-12-2-2-12-12-12-2-1211-1-1-1-1-111-2-222-2-21111-211211-1-10200-20-1-10011-1-100000000
χ322222-12-2-2-12-12-12-2-1211-1-1-1-1-111-2-2-2-222-1-1-1-1-211211-1-10-200201100-1-11100000000
χ332-2-22222i−2i-2-222-2-2020002-2-2002i−2i2i−2i2-22i−2i2i2i−2i−2i00002i−2i000000002-200000000000000
χ342-2-22222i−2i-2-222-2-2020002-2-2002i−2i2i−2i-22−2i2i−2i−2i2i2i00002i−2i00000000-2200000000000000
χ352-2-2222−2i2i-2-222-2-2020002-2-200−2i2i−2i2i2-2−2i2i−2i−2i2i2i0000−2i2i000000002-200000000000000
χ362-2-2222−2i2i-2-222-2-2020002-2-200−2i2i−2i2i-222i−2i2i2i−2i−2i0000−2i2i00000000-2200000000000000
χ372-2-22-122i−2i1-2-121-20-10−i3i3-1113−3−ii2i−2i2-22i−2i−i−iii0−i3i30−ii3−3000000-1100−i3i33−300000000
χ382-2-22-122i−2i1-2-121-20-10−i3i3-1113−3−ii2i−2i-22−2i2iii−i−i0−i3i30−ii3−30000001-100i3−i3−3300000000
χ392-2-22-122i−2i1-2-121-20-10i3−i3-111−33−ii2i−2i2-22i−2i−i−iii0i3−i30−ii−33000000-1100i3−i3−3300000000
χ402-2-22-122i−2i1-2-121-20-10i3−i3-111−33−ii2i−2i-22−2i2iii−i−i0i3−i30−ii−330000001-100−i3i33−300000000
χ412-2-22-12−2i2i1-2-121-20-10−i3i3-111−33i−i−2i2i2-2−2i2iii−i−i0−i3i30i−i−33000000-1100−i3i3−3300000000
χ422-2-22-12−2i2i1-2-121-20-10−i3i3-111−33i−i−2i2i-222i−2i−i−iii0−i3i30i−i−330000001-100i3−i33−300000000
χ432-2-22-12−2i2i1-2-121-20-10i3−i3-1113−3i−i−2i2i2-2−2i2iii−i−i0i3−i30i−i3−3000000-1100i3−i33−300000000
χ442-2-22-12−2i2i1-2-121-20-10i3−i3-1113−3i−i−2i2i-222i−2i−i−iii0i3−i30i−i3−30000001-100−i3i3−3300000000
χ454444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-200000000-211-211110000000000000000000000
χ464444-2-244-2-2-2-2-2-2-41-42211122-2-2-2-2000000002-1-1211-1-10000000000000000000000
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
χ4944-4-4440044-4-4-4-404000-44-400000000000000000000000000000000000000000000
χ5044-4-44-2004-2-42-420-20002-2200000000000000000000000000000000000023−23000000
χ5144-4-44-2004-2-42-420-20002-22000000000000000000000000000000000000−2323000000
χ5244-4-4-2400-242-42-40-20002-22000000000023−2323−23000000000000000000000000000000
χ5344-4-4-2400-242-42-40-20002-220000000000−2323−2323000000000000000000000000000000
χ544-44-44400-4-4-4-44404000-4-4400000000000000000000000000000000000000000000
χ554-44-44-200-42-424-20-200022-2000000000000000000000000000000−2i32i3000000000000
χ564-44-44-200-42-424-20-200022-20000000000000000000000000000002i3−2i3000000000000
χ574-44-4-24002-42-4-240-200022-20000000000−2i32i32i3−2i3000000000000000000000000000000
χ584-44-4-24002-42-4-240-200022-200000000002i3−2i3−2i32i3000000000000000000000000000000
χ594-4-444-24i−4i-424-2-420-2000-222004i−4i−2i2i000000000000−2i2i000000000000000000000000
χ604-4-444-2−4i4i-424-2-420-2000-22200−4i4i2i−2i0000000000002i−2i000000000000000000000000
χ614-4-44-2-24i−4i22-2-222010−2i32i31-1-123−23−2i2i−2i2i000000000i3−i30i−i−330000000000000000000000
χ624-4-44-2-24i−4i22-2-2220102i3−2i31-1-1−2323−2i2i−2i2i000000000−i3i30i−i3−30000000000000000000000
χ634-4-44-2-2−4i4i22-2-222010−2i32i31-1-1−23232i−2i2i−2i000000000i3−i30−ii3−30000000000000000000000
χ644-4-44-2-2−4i4i22-2-2220102i3−2i31-1-123−232i−2i2i−2i000000000−i3i30−ii−330000000000000000000000
χ6588-8-8-4-400-4-4444402000-22-200000000000000000000000000000000000000000000
χ668-88-8-4-4004444-4-402000-2-2200000000000000000000000000000000000000000000

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