Finite Group Databasebeta

← Group #10595122

Character table — Group #10595122

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222224444444444444466666666666688888888121212121212121212121212121218182424363636
order12223344666666223666666612121212444444441212121266666612122444661212121212121212221212444
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-111-1-111-1-1-1-1-1-111-1-1-1
χ31111111111111111111111111111-1-1111111111111111111-1-1-11-1-111-1-11111-1-1-1-1-1-1-1
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
χ511111111111111-1-11-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1111111-1-1-1-1-111
χ611111111111111-1-11-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-111-1-11-1-1
χ711111111111111-1-11-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1111111111-1-1
χ811111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1111-1-111-1-1-1-1-1-1-1-111-111
χ9111111-1-11111111-1111-1-1111-1-1-1-11111-1-11111111-111-1-1-1-1-11-1-1-1-1-1-11111-1-1111-1-11-1
χ10111111-1-11111111-1111-1-1111-1-1-1-111-1-111-1-1-1-1-1-11-111-1-1-1-1-11-11-1-11111-1-111-1-11-11-11
χ11111111-1-11111111-1111-1-1111-1-1-1-1-1-111-1-11111111-111-1-1-1-11-11-111-1-1-1-111-1-1-1-1-111-11
χ12111111-1-11111111-1111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111-1-1-1-11-1111111-1-1-1-11111-11-11-1
χ13111111-1-1111111-111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1111111-1-1-1-1-1111-1
χ14111111-1-1111111-111-1-111111-1-1-1-111-1-111111111-11-1-111-1-1-1-11-1-1-1-1-111-1-11111-11-1-11
χ15111111-1-1111111-111-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-111-111111-1-111-1-1111-1-1-11
χ16111111-1-1111111-111-1-111111-1-1-1-1-1-1-1-111111111-11-1-111-1-111-1-111-1-1-1-1-1-111-1-11-111-1
χ1722222-122-122-1-1222-12222-1-1-122-1-1220000000000-1-1-1-1-1-1-1-12220-1-100-1-1000000-1-1000
χ1822222-122-122-1-1222-12222-1-1-122-1-1-2-20000000000-1-1-1-1-1-1-1-1-2-2-2011001100000011000
χ1922222-122-122-1-12-2-2-1-2-2-2-2-1-1-122-1-1220000000000111111-1-12-2-20-1-100-1-100000011000
χ2022222-122-122-1-12-2-2-1-2-2-2-2-1-1-122-1-1-2-20000000000111111-1-1-2220110011000000-1-1000
χ2122222-1-2-2-122-1-122-2-122-2-2-1-1-1-2-211220000000000-11-1-11111-22-201100-1-1000000-11000
χ2222222-1-2-2-122-1-122-2-122-2-2-1-1-1-2-211-2-20000000000-11-1-111112-220-1-100110000001-1000
χ2322222-1-2-2-122-1-12-22-1-2-222-1-1-1-2-2112200000000001-111-1-111-2-2201100-1-10000001-1000
χ2422222-1-2-2-122-1-12-22-1-2-222-1-1-1-2-211-2-200000000001-111-1-11122-20-1-10011000000-11000
χ252222-12222-1-122-122-1-1-1-1-1-1-1-1-1-12200222222-1-1-1-122-1-1-1-1-1-1000200-1-100-1-1-1-10000000
χ262222-12222-1-122-122-1-1-1-1-1-1-1-1-1-12200-2-2-2-2-2-2111122-1-1-1-1-1-1000-200110011110000000
χ272222-12222-1-122-1-2-2-11111-1-1-1-1-122002222-2-21111-2-21111-1-1000-2001100-1-1-1-10000000
χ282222-12222-1-122-1-2-2-11111-1-1-1-1-12200-2-2-2-222-1-1-1-1-2-21111-1-1000200-1-10011110000000
χ292222-12-2-22-1-122-12-2-1-1-111-1-1-111-2-20022-2-222-1-1-1-12-2-1-11111000-2001100-1-1110000000
χ302222-12-2-22-1-122-12-2-1-1-111-1-1-111-2-200-2-222-2-211112-2-1-11111000200-1-10011-1-10000000
χ312222-12-2-22-1-122-1-22-111-1-1-1-1-111-2-20022-2-2-2-21111-2211-1-111000200-1-100-1-1110000000
χ322222-12-2-22-1-122-1-22-111-1-1-1-1-111-2-200-2-22222-1-1-1-1-2211-1-111000-200110011-1-10000000
χ3322-2-2222-2-22-22-2-20020000-2-222-22-2002i−2i2i−2i0000000000002-200000000002i−2i2i−2i0000000
χ3422-2-2222-2-22-22-2-20020000-2-222-22-200−2i2i−2i2i0000000000002-20000000000−2i2i−2i2i0000000
χ3522-2-222-22-22-22-2-20020000-2-22-22-22002i−2i−2i2i000000000000-2200000000002i−2i−2i2i0000000
χ3622-2-222-22-22-22-2-20020000-2-22-22-2200−2i2i2i−2i000000000000-220000000000−2i2i2i−2i0000000
χ3722-2-2-122-2-2-112-2100-1−i3i3−i3i311-1-112-2002i−2i2i−2i0033−3−300−i3i3−i3i3-110000003−300−ii−ii0000000
χ3822-2-2-122-2-2-112-2100-1−i3i3−i3i311-1-112-200−2i2i−2i2i00−3−33300−i3i3−i3i3-11000000−3300i−ii−i0000000
χ3922-2-2-122-2-2-112-2100-1i3−i3i3−i311-1-112-2002i−2i2i−2i00−3−33300i3−i3i3−i3-11000000−3300−ii−ii0000000
χ4022-2-2-122-2-2-112-2100-1i3−i3i3−i311-1-112-200−2i2i−2i2i0033−3−300i3−i3i3−i3-110000003−300i−ii−i0000000
χ4122-2-2-12-22-2-112-2100-1−i3i3i3−i311-11-1-22002i−2i−2i2i0033−3−300−i3i3i3−i31-1000000−3300−iii−i0000000
χ4222-2-2-12-22-2-112-2100-1−i3i3i3−i311-11-1-2200−2i2i2i−2i00−3−33300−i3i3i3−i31-10000003−300i−i−ii0000000
χ4322-2-2-12-22-2-112-2100-1i3−i3−i3i311-11-1-22002i−2i−2i2i00−3−33300i3−i3−i3i31-10000003−300−iii−i0000000
χ4422-2-2-12-22-2-112-2100-1i3−i3−i3i311-11-1-2200−2i2i2i−2i0033−3−300i3−i3−i3i31-1000000−3300i−i−ii0000000
χ452-2-2222002-22-2-2-200200002-2-200002i−2i00002i−2i2i−2i2i−2i00000000000000002i−2i00002-200000
χ462-2-2222002-22-2-2-200200002-2-200002i−2i0000−2i2i−2i2i−2i2i00000000000000002i−2i0000-2200000
χ472-2-2222002-22-2-2-200200002-2-20000−2i2i00002i−2i2i−2i2i−2i0000000000000000−2i2i0000-2200000
χ482-2-2222002-22-2-2-200200002-2-20000−2i2i0000−2i2i−2i2i−2i2i0000000000000000−2i2i00002-200000
χ494444-2-244-2-2-2-2-2-2441-2-2-2-2111-2-2-2-2000000000000-2-2111111000000000000000000000
χ504444-2-244-2-2-2-2-2-2-4-412222111-2-2-2-200000000000022-1-1-1-111000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-24-41-2-2221112222000000000000-2211-1-1-1-1000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-2-44122-2-211122220000000000002-2-1-111-1-1000000000000000000000
χ5344-4-44-24-424-4-22-400-2000022-24-4-22000000000000000000-22000000000000000000000
χ5444-4-44-2-4424-4-22-400-2000022-2-442-20000000000000000002-2000000000000000000000
χ5544-4-4-2-24-42-22-222001−2i32i3−2i32i3-1-11-22-2200000000000000i3−i3i3−i31-1000000000000000000000
χ5644-4-4-2-24-42-22-2220012i3−2i32i3−2i3-1-11-22-2200000000000000−i3i3−i3i31-1000000000000000000000
χ5744-4-4-2-2-442-22-222001−2i32i32i3−2i3-1-112-22-200000000000000i3−i3−i3i3-11000000000000000000000
χ5844-4-4-2-2-442-22-2220012i3−2i3−2i32i3-1-112-22-200000000000000−i3i3i3−i3-11000000000000000000000
χ594-44-44400-4-4-4-4440040000-44-4000000000000000000000000000000000000000000000
χ604-44-44-2002-4-42-2400-200002-220000000000000000000000000000−2i32i3000000000000000
χ614-44-44-2002-4-42-2400-200002-2200000000000000000000000000002i3−2i3000000000000000
χ624-44-4-2400-422-44-200-200002-22000000000000−2i32i32i3−2i300000000000000000000000000000
χ634-44-4-2400-422-44-200-200002-220000000000002i3−2i3−2i32i300000000000000000000000000000
χ644-4-444-200-2-4422-400-20000-22200004i−4i00000000000000000000000000−2i2i00000000000
χ654-4-444-200-2-4422-400-20000-2220000−4i4i000000000000000000000000002i−2i00000000000
χ664-4-44-240042-2-4-4200-20000-22200000000004i−4i−2i2i−2i2i00000000000000000000000000000
χ674-4-44-240042-2-4-4200-20000-2220000000000−4i4i2i−2i2i−2i00000000000000000000000000000
χ688-88-8-4-4004444-4-40020000-22-2000000000000000000000000000000000000000000000
χ698-8-88-4-400-44-444400200002-2-2000000000000000000000000000000000000000000000

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