Finite Group Databasebeta

← Group #10594196

Character table — Group #10594196

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222244444444444444666666668888888812121212121212121212121212121212242436363636
order12223344666666234666661212121212122244666666612121212122244446612121212121212126122444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-11-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-11-1111-1-111-1-1-1-11111-1-1-1-1
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
χ511111111111111-11-1-1-11111111-1-111111111-1-1-1-111-1-1-11-11-1-1-1-1-1-111-1-1-1-111-111-1
χ611111111111111-11-1-1-11111111-1-111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-11-1-11
χ711111111111111-11-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1111-1-11
χ811111111111111-11-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1111111-1-11111-1-1-111-1
χ9111111-1-111111111-111111-1-1-1-1-1-111-1-11111111-1-1-1-1-111-1-11-111-1-1-1-1-1-1111-1-11-11
χ10111111-1-111111111-111111-1-1-1-1-1-111-1-11111111-1-1-1-1-11-1-11-111111-1-1-1-1-1-1-111-11-1
χ11111111-1-111111111-111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-111-11-1-1-1-1-11111111-11-11-1
χ12111111-1-111111111-111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-111-11-1-1111111-1-1-11-11-11
χ13111111-1-1111111-111-1-1111-1-1-1-11111-1-11111-1-1-11-1-111-111-1-11-1-111-1-111-1-11-111-1-1
χ14111111-1-1111111-111-1-1111-1-1-1-11111-1-11111-1-1-11-1-111-1-1111-1-1-1-1-1-1-11111-11-1-111
χ15111111-1-1111111-111-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-11-1-11111-1-1-11111111-1-1-1-11-1-1-111
χ16111111-1-1111111-111-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-11-1-1111-1-111-111-1-111-1-111-1111-1-1
χ1722222-122-122-1-122-12-1-1-1-1-122-1-1-1-12222-1-1-1-12-1-12-1-1-1-1202000-1-100-1-1-1-100000000
χ1822222-122-122-1-122-12-1-1-1-1-122-1-1-1-1-2-2-2-211112-1-12-1-1-1-1-20-20001100111100000000
χ1922222-122-122-1-12-2-1-211-1-1-122-1-1112222-1-1-1-1-211-2-1-111-20-20001100-1-11100000000
χ2022222-122-122-1-12-2-1-211-1-1-122-1-111-2-2-2-21111-211-2-1-111202000-1-10011-1-100000000
χ2122222-1-2-2-122-1-122-1-2-1-1-1-1-1-2-2111122-2-2-1-1-1-12-1-1-2111120-2000-1-100111100000000
χ2222222-1-2-2-122-1-122-1-2-1-1-1-1-1-2-21111-2-22211112-1-1-21111-2020001100-1-1-1-100000000
χ2322222-1-2-2-122-1-12-2-1211-1-1-1-2-211-1-122-2-2-1-1-1-1-211211-1-1-202000110011-1-100000000
χ2422222-1-2-2-122-1-12-2-1211-1-1-1-2-211-1-1-2-2221111-211211-1-120-2000-1-100-1-11100000000
χ252222-12222-1-122-12-1222-1-1-1-1-1222200000000-1-1-1-1-1-1-1-102022200-1-10000-1-1-1-10000
χ262222-12222-1-122-12-1222-1-1-1-1-1222200000000-1-1-1-1-1-1-1-10-20-2-2-20011000011110000
χ272222-12222-1-122-1-2-1-2-2-2-1-1-1-1-122-2-2000000001111-1-1110202-2-20011000011-1-10000
χ282222-12222-1-122-1-2-1-2-2-2-1-1-1-1-122-2-2000000001111-1-1110-20-22200-1-10000-1-1110000
χ292222-12-2-22-1-122-12-1-222-1-1-111-2-2-2-200000000-1-1-111111020-22-200110000-1-1-110000
χ302222-12-2-22-1-122-12-1-222-1-1-111-2-2-2-200000000-1-1-1111110-202-2200-1-10000111-10000
χ312222-12-2-22-1-122-1-2-12-2-2-1-1-111-2-22200000000111-111-1-1020-2-2200-1-1000011-110000
χ322222-12-2-22-1-122-1-2-12-2-2-1-1-111-2-22200000000111-111-1-10-2022-200110000-1-11-10000
χ332-22-2222i−2i2-22-2-2-2020002-2-22i−2i2i−2i002-22i−2i22-2-200002i−2i0000000000002i−2i0000000000
χ342-22-2222i−2i2-22-2-2-2020002-2-22i−2i2i−2i00-22−2i2i-2-22200002i−2i000000000000−2i2i0000000000
χ352-22-222−2i2i2-22-2-2-2020002-2-2−2i2i−2i2i002-2−2i2i22-2-20000−2i2i000000000000−2i2i0000000000
χ362-22-222−2i2i2-22-2-2-2020002-2-2−2i2i−2i2i00-222i−2i-2-2220000−2i2i0000000000002i−2i0000000000
χ372-22-22-12i−2i-1-2211-20-10−i3i3-1112i−2i−ii3−32-22i−2i-1-1110−i3i30−ii3−3000000−i3i300−ii3−300000000
χ382-22-22-12i−2i-1-2211-20-10−i3i3-1112i−2i−ii3−3-22−2i2i11-1-10−i3i30−ii3−3000000i3−i300i−i−3300000000
χ392-22-22-12i−2i-1-2211-20-10i3−i3-1112i−2i−ii−332-22i−2i-1-1110i3−i30−ii−33000000i3−i300−ii−3300000000
χ402-22-22-12i−2i-1-2211-20-10i3−i3-1112i−2i−ii−33-22−2i2i11-1-10i3−i30−ii−33000000−i3i300i−i3−300000000
χ412-22-22-1−2i2i-1-2211-20-10−i3i3-111−2i2ii−i−332-2−2i2i-1-1110−i3i30i−i−33000000−i3i300i−i−3300000000
χ422-22-22-1−2i2i-1-2211-20-10−i3i3-111−2i2ii−i−33-222i−2i11-1-10−i3i30i−i−33000000i3−i300−ii3−300000000
χ432-22-22-1−2i2i-1-2211-20-10i3−i3-111−2i2ii−i3−32-2−2i2i-1-1110i3−i30i−i3−3000000i3−i300i−i3−300000000
χ442-22-22-1−2i2i-1-2211-20-10i3−i3-111−2i2ii−i3−3-222i−2i11-1-10i3−i30i−i3−3000000−i3i300−ii−3300000000
χ454444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-200000000-211-211110000000000000000000000
χ464444-2-244-2-2-2-2-2-2-41-422111-2-2-2-222000000002-1-1211-1-10000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-241-4-2-211122222200000000-2112-1-1-1-10000000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-2-414221112222-2-2000000002-1-1-2-1-1110000000000000000000000
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
χ5244-4-4-2400-4224-4-20-20002-22000000000000000000000000000000000000−2i32i3000000
χ5344-4-4-2400-4224-4-20-20002-220000000000000000000000000000000000002i3−2i3000000
χ544-44-4-244i−4i42-2-4-420-2000-222−2i2i4i−4i00000000000000−2i2i000000000000000000000000
χ554-44-4-24−4i4i42-2-4-420-2000-2222i−2i−4i4i000000000000002i−2i000000000000000000000000
χ564-44-4-2-24i−4i-22-2222010−2i32i31-1-1−2i2i−2i2i23−23000000000i3−i30i−i−330000000000000000000000
χ574-44-4-2-24i−4i-22-22220102i3−2i31-1-1−2i2i−2i2i−2323000000000−i3i30i−i3−30000000000000000000000
χ584-44-4-2-2−4i4i-22-2222010−2i32i31-1-12i−2i2i−2i−2323000000000i3−i30−ii3−30000000000000000000000
χ594-44-4-2-2−4i4i-22-22220102i3−2i31-1-12i−2i2i−2i23−23000000000−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
χ634-4-44-2400-4-22-4420-200022-200000000000000000000000000000023−23000000000000
χ644-4-44-2400-4-22-4420-200022-2000000000000000000000000000000−2323000000000000
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).