Finite Group Databasebeta

← Group #10594193

Character table — Group #10594193

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222224444444444444466666666666688888888121212121212121212121212121218182424363636
order1222334466666623466666121212121212222244446666666121212121224446666121212121212441212444
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111111111-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111-1-1-1-1111111111-11111-1-1-1-1-1-111-1-111-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111111-11-1-1-111111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-11-1-1-1111111-1-111-1-1-1-1-111
χ611111111111111-11-1-1-111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111-1-1
χ711111111111111-11-1-1-111111-1-111-1-111-1-1111111-1-1-1-111-1-111-1-111-1-1-1-1111111-1-11-1-1
χ811111111111111-11-1-1-111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1-1-1-111-1-1-1-111-111
χ9111111-1-111111111-111111-1-1-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-111111-1-11-1
χ10111111-1-111111111-111111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-111-11
χ11111111-1-111111111-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-11-11-1-1-1-1111111-1-11-11-11
χ12111111-1-111111111-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1111-111-1-11111-1-111-11-11-1
χ13111111-1-1111111-111-1-1111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-11-1-111-111-1-1-111-1-11111-1-1-1111-1
χ14111111-1-1111111-111-1-1111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-111111-1-111-1-1111-1-1-11
χ15111111-1-1111111-111-1-1111-1-111-1-1-1-11111111111-1-1-11-1-111-1-11-1-1-1-1-111-1-11111-11-1-11
χ16111111-1-1111111-111-1-1111-1-111-1-1-1-11111-1-11111-1-1-11-1-1111-1-1111-1-111-1-1-1-1-1-11-111-1
χ1722222-122-122-1-122-12-1-1-1-1-1-1-1-1-12222222200-1-1-1-12-1-12-1-1-1-1020000-1-1-1-1-1-1000000000
χ1822222-122-122-1-122-12-1-1-1-1-1-1-1-1-122-2-2-2-2-2-20011112-1-12-1-1-1-10-20000111111000000000
χ1922222-122-122-1-12-2-1-211-1-1-1-1-1112222-2-222001111-211-2-1-1110-20000-1-1-1-111000000000
χ2022222-122-122-1-12-2-1-211-1-1-1-1-11122-2-222-2-200-1-1-1-1-211-2-1-1110200001111-1-1000000000
χ2122222-1-2-2-122-1-122-1-2-1-1-1-1-11111-2-22222-2-200-1-1-1-12-1-1-211110-20000-1-11111000000000
χ2222222-1-2-2-122-1-122-1-2-1-1-1-1-11111-2-2-2-2-2-2220011112-1-1-2111102000011-1-1-1-1000000000
χ2322222-1-2-2-122-1-12-2-1211-1-1-111-1-1-2-222-2-2-2-2001111-211211-1-1020000-1-111-1-1000000000
χ2422222-1-2-2-122-1-12-2-1211-1-1-111-1-1-2-2-2-2222200-1-1-1-1-211211-1-10-2000011-1-111000000000
χ252222-12222-1-122-12-1222-1-1-12222-1-1000000220000-1-1-1-1-1-1-1-12022-1-1000000-1-100-1-1000
χ262222-12222-1-122-12-1222-1-1-12222-1-1000000-2-20000-1-1-1-1-1-1-1-1-20-2-211000000110011000
χ272222-12222-1-122-1-2-1-2-2-2-1-1-122-2-2-1-10000002200001111-1-11120-2-2-1-1000000-1-10011000
χ282222-12222-1-122-1-2-1-2-2-2-1-1-122-2-2-1-1000000-2-200001111-1-111-2022110000001100-1-1000
χ292222-12-2-22-1-122-12-1-222-1-1-1-2-2-2-211000000220000-1-1-111111-20-2211000000-1-100-11000
χ302222-12-2-22-1-122-12-1-222-1-1-1-2-2-2-211000000-2-20000-1-1-111111202-2-1-100000011001-1000
χ312222-12-2-22-1-122-1-2-12-2-2-1-1-1-2-22211000000220000111-111-1-1-202-211000000-1-1001-1000
χ322222-12-2-22-1-122-1-2-12-2-2-1-1-1-2-22211000000-2-20000111-111-1-120-22-1-10000001100-11000
χ3322-2-22200-22-22-2-202000-22-2000000002-2002i−2i22-2-2000000000000000000002i−2i2i−2i00000
χ3422-2-22200-22-22-2-202000-22-2000000002-200−2i2i22-2-200000000000000000000−2i2i−2i2i00000
χ3522-2-22200-22-22-2-202000-22-200000000-22002i−2i-2-222000000000000000000002i−2i−2i2i00000
χ3622-2-22200-22-22-2-202000-22-200000000-2200−2i2i-2-22200000000000000000000−2i2i2i−2i00000
χ372-2-22222i−2i2-22-2-2-2020002-2-22i−2i002i−2i2-2002i−2i00000000002i−2i000000002-22i−2i00000000000
χ382-2-22222i−2i2-22-2-2-2020002-2-22i−2i002i−2i-2200−2i2i00000000002i−2i00000000-22−2i2i00000000000
χ392-2-2222−2i2i2-22-2-2-2020002-2-2−2i2i00−2i2i2-200−2i2i0000000000−2i2i000000002-2−2i2i00000000000
χ402-2-2222−2i2i2-22-2-2-2020002-2-2−2i2i00−2i2i-22002i−2i0000000000−2i2i00000000-222i−2i00000000000
χ412-2-222-12i−2i-1-2211-20-10−i3i3-111−ii3−32i−2i2-2002i−2i00−i3i3−i3i30−i3i30−ii3−3000000-11−ii3−3000000000
χ422-2-222-12i−2i-1-2211-20-10−i3i3-111−ii3−32i−2i-2200−2i2i00i3−i3i3−i30−i3i30−ii3−30000001-1i−i−33000000000
χ432-2-222-12i−2i-1-2211-20-10i3−i3-111−ii−332i−2i2-2002i−2i00i3−i3i3−i30i3−i30−ii−33000000-11−ii−33000000000
χ442-2-222-12i−2i-1-2211-20-10i3−i3-111−ii−332i−2i-2200−2i2i00−i3i3−i3i30i3−i30−ii−330000001-1i−i3−3000000000
χ452-2-222-1−2i2i-1-2211-20-10−i3i3-111i−i−33−2i2i2-200−2i2i00−i3i3−i3i30−i3i30i−i−33000000-11i−i−33000000000
χ462-2-222-1−2i2i-1-2211-20-10−i3i3-111i−i−33−2i2i-22002i−2i00i3−i3i3−i30−i3i30i−i−330000001-1−ii3−3000000000
χ472-2-222-1−2i2i-1-2211-20-10i3−i3-111i−i3−3−2i2i2-200−2i2i00i3−i3i3−i30i3−i30i−i3−3000000-11i−i3−3000000000
χ482-2-222-1−2i2i-1-2211-20-10i3−i3-111i−i3−3−2i2i-22002i−2i00−i3i3−i3i30i3−i30i−i3−30000001-1−ii−33000000000
χ494444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-2000000000000-211-21111000000000000000000000
χ504444-2-244-2-2-2-2-2-2-41-422111-2-222-2-20000000000002-1-1211-1-1000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-241-4-2-2111222222000000000000-2112-1-1-1-1000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-2-4142211122-2-2220000000000002-1-1-2-1-111000000000000000000000
χ5344-4-44-20024-4-22-40-20002-22000000004-40000-2-22200000000000000000000000000000
χ5444-4-44-20024-4-22-40-20002-2200000000-44000022-2-200000000000000000000000000000
χ5544-4-4-2400-4-224-420-20002-220000000000004i−4i000000000000000000000000−2i2i0000000
χ5644-4-4-2400-4-224-420-20002-22000000000000−4i4i0000000000000000000000002i−2i0000000
χ574-44-44400-4-4-4-44404000-4-4400000000000000000000000000000000000000000000000
χ584-44-44-2002-4-42-240-200022-200000000000000−2i32i32i3−2i300000000000000000000000000000
χ594-44-44-2002-4-42-240-200022-2000000000000002i3−2i3−2i32i300000000000000000000000000000
χ604-44-4-2400-422-44-20-200022-2000000000000000000000000000000−2i32i3000000000000000
χ614-44-4-2400-422-44-20-200022-20000000000000000000000000000002i3−2i3000000000000000
χ624-4-44-244i−4i42-2-4-420-2000-2224i−4i00−2i2i0000000000000000−2i2i00000000000000000000000
χ634-4-44-24−4i4i42-2-4-420-2000-222−4i4i002i−2i00000000000000002i−2i00000000000000000000000
χ644-4-44-2-24i−4i-22-2222010−2i32i31-1-1−2i2i23−23−2i2i0000000000000i3−i30i−i−33000000000000000000000
χ654-4-44-2-24i−4i-22-22220102i3−2i31-1-1−2i2i−2323−2i2i0000000000000−i3i30i−i3−3000000000000000000000
χ664-4-44-2-2−4i4i-22-2222010−2i32i31-1-12i−2i−23232i−2i0000000000000i3−i30−ii3−3000000000000000000000
χ674-4-44-2-2−4i4i-22-22220102i3−2i31-1-12i−2i23−232i−2i0000000000000−i3i30−ii−33000000000000000000000
χ6888-8-8-4-4004-44-44402000-22-200000000000000000000000000000000000000000000000
χ698-88-8-4-4004444-4-402000-2-2200000000000000000000000000000000000000000000000

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