Finite Group Databasebeta

← Group #10594970

Character table — Group #10594970

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222222222222224444444444444444444444444446666121212121212121212121212121218181818242424243636
order122233444466666612121212236666666666612121212121212121212121212124444444444121212121212121222441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111-1-11111111111-11-1-1-1-111-1-1-1-11-1-111-1-11111-1-1-1-111-1-11-11-11-11111-1-1-1-111111-11-1-1-1
χ611111111-1-11111111111-11-1-1-1-111-1-1-1-11-1-111-1-11111-1-1-1-111-1-11-1-11-111111-1-1-1-1-1-1-1-1-11-1111
χ711111111-1-11111111111-11-1-1-1-111-1-1-1-11-1-111-1-11111-1-1-1-1-1-111-111-11-1-1-1-1-11111-1-1-1-11-11-111
χ811111111-1-11111111111-11-1-1-1-111-1-1-1-11-1-111-1-11111-1-1-1-1-1-111-11-11-11-1-1-1-111111111-11-11-1-1
χ9111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-111-1-1-1-111111111-1-111-1-111-1-111-1-1-1-111-1-111-11
χ10111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-111-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-111-1-11-1
χ11111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111-1
χ12111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-11
χ13111111-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1111-1-1-1-111-1-111-111-11-1
χ14111111-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-111-111-1-1-1-11111-1-11-1-11-11
χ15111111-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-11-1-11111-1-111-1-1-111-1-11
χ16111111-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-11111-1-1-1-1111-1-111-1
χ1722222-122222-12-1-12-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-10000000000
χ1822222-122222-12-1-12-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-20000111111110000000000
χ1922222-122-2-22-12-1-12-1-1-1-1-2-1-2-211-1-11111-11122-2-2-1-1-1-1111122-2-22-20000-1-1-1-111110000000000
χ2022222-122-2-22-12-1-12-1-1-1-1-2-1-2-211-1-11111-11122-2-2-1-1-1-11111-2-222-2200001111-1-1-1-10000000000
χ2122222-1-2-2222-12-1-121111-2-1-2-211-1-11111-1-1-1-2-2221111-1-1-1-12222-2-20000-1-111-1-1110000000000
χ2222222-1-2-2222-12-1-121111-2-1-2-211-1-11111-1-1-1-2-2221111-1-1-1-1-2-2-2-222000011-1-111-1-10000000000
χ2322222-1-2-2-2-22-12-1-1211112-122-1-1-1-1-1-1-1-1-111-2-2-2-21111111122-2-2-220000-1-11111-1-10000000000
χ2422222-1-2-2-2-22-12-1-1211112-122-1-1-1-1-1-1-1-1-111-2-2-2-211111111-2-2222-2000011-1-1-1-1110000000000
χ252222-122222-12-122-122222-1-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000002222000000000000-1-1-1-100
χ262222-122222-12-122-122222-1-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2000000000000111100
χ272222-1222-2-2-12-122-12222-2-111-2-2-1-11111-1-2-2-1-111-1-1-1-111110000002-22-2000000000000-11-1100
χ282222-1222-2-2-12-122-12222-2-111-2-2-1-11111-1-2-2-1-111-1-1-1-11111000000-22-220000000000001-11-100
χ292222-12-2-222-12-122-1-2-2-2-2-2-111-2-2-1-11111-12211-1-11111-1-1-1-100000022-2-200000000000011-1-100
χ302222-12-2-222-12-122-1-2-2-2-2-2-111-2-2-1-11111-12211-1-11111-1-1-1-1000000-2-222000000000000-1-11100
χ312222-12-2-2-2-2-12-122-1-2-2-2-22-1-1-122-1-1-1-1-1-1-1-2-21111111111110000002-2-220000000000001-1-1100
χ322222-12-2-2-2-2-12-122-1-2-2-2-22-1-1-122-1-1-1-1-1-1-1-2-2111111111111000000-222-2000000000000-111-100
χ332-22-222002-2-22-2-2-220000020000-2-2000022-2002-2000022-2-22i−2i2i−2i0000002i−2i002i−2i000000000000
χ342-22-222002-2-22-2-2-220000020000-2-2000022-2002-2000022-2-2−2i2i−2i2i000000−2i2i00−2i2i000000000000
χ352-22-22200-22-22-2-2-220000020000-2-200002-2200-220000-2-2222i−2i−2i2i0000002i−2i00−2i2i000000000000
χ362-22-22200-22-22-2-2-220000020000-2-200002-2200-220000-2-222−2i2i2i−2i000000−2i2i002i−2i000000000000
χ372-22-22-1002-2-2-1-2112−i3−i3i3i30-100−i3i311−i3−i3i3i3-1-11002-2−i3−i3i3i3-1-1112i−2i2i−2i000000−ii3−3−ii3−30000000000
χ382-22-22-1002-2-2-1-2112−i3−i3i3i30-100−i3i311−i3−i3i3i3-1-11002-2−i3−i3i3i3-1-111−2i2i−2i2i000000i−i−33i−i−330000000000
χ392-22-22-1002-2-2-1-2112i3i3−i3−i30-100i3−i311i3i3−i3−i3-1-11002-2i3i3−i3−i3-1-1112i−2i2i−2i000000−ii−33−ii−330000000000
χ402-22-22-1002-2-2-1-2112i3i3−i3−i30-100i3−i311i3i3−i3−i3-1-11002-2i3i3−i3−i3-1-111−2i2i−2i2i000000i−i3−3i−i3−30000000000
χ412-22-22-100-22-2-1-2112−i3−i3i3i30-100i3−i311i3i3−i3−i3-11-100-22−i3−i3i3i311-1-12i−2i−2i2i000000−ii3−3i−i−330000000000
χ422-22-22-100-22-2-1-2112−i3−i3i3i30-100i3−i311i3i3−i3−i3-11-100-22−i3−i3i3i311-1-1−2i2i2i−2i000000i−i−33−ii3−30000000000
χ432-22-22-100-22-2-1-2112i3i3−i3−i30-100−i3i311−i3−i3i3i3-11-100-22i3i3−i3−i311-1-12i−2i−2i2i000000−ii−33i−i3−30000000000
χ442-22-22-100-22-2-1-2112i3i3−i3−i30-100−i3i311−i3−i3i3i3-11-100-22i3i3−i3−i311-1-1−2i2i2i−2i000000i−i3−3−ii−330000000000
χ452-2-22222i−2i00-2-222-2-22i−2i2i−2i0200002-20000-2002i−2i002i−2i2i−2i00000000000000000000002-22i−2i000000
χ462-2-22222i−2i00-2-222-2-22i−2i2i−2i0200002-20000-2002i−2i002i−2i2i−2i0000000000000000000000-22−2i2i000000
χ472-2-2222−2i2i00-2-222-2-2−2i2i−2i2i0200002-20000-200−2i2i00−2i2i−2i2i00000000000000000000002-2−2i2i000000
χ482-2-2222−2i2i00-2-222-2-2−2i2i−2i2i0200002-20000-200−2i2i00−2i2i−2i2i0000000000000000000000-222i−2i000000
χ494444-2-24444-2-2-2-2-2-2-2-2-2-241-2-2-2-21111111-2-2-2-2-2-2111111110000000000000000000000000000
χ504444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-41222211-1-1-1-1122-2-2221111-1-1-1-10000000000000000000000000000
χ514444-2-2-4-444-2-2-2-2-2-22222-41222211-1-1-1-11-2-222-2-2-1-1-1-111110000000000000000000000000000
χ524444-2-2-4-4-4-4-2-2-2-2-2-2222241-2-2-2-21111111222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ5344-4-44400004-4-4-44-40000040000-440000-4000000000000000000000000000000000000000000
χ5444-4-44-2000042-42-2-423−23−23230-200002-20000200000023−23−232300000000000000000000000000000000
χ5544-4-44-2000042-42-2-4−232323−230-200002-200002000000−232323−2300000000000000000000000000000000
χ5644-4-4-240000-2-42-44200000-2−2i32i3002-2−2i32i3−2i32i32000000000000000000000000000000000000000000
χ5744-4-4-240000-2-42-44200000-22i3−2i3002-22i3−2i32i3−2i32000000000000000000000000000000000000000000
χ5844-4-4-2-20000-2222-2223−23−232301−2i32i300-11i3−i3i3−i3-1000000−333−33i−3i3i−3i0000000000000000000000000000
χ5944-4-4-2-20000-2222-2223−23−2323012i3−2i300-11−i3i3−i3i3-1000000−333−3−3i3i−3i3i0000000000000000000000000000
χ6044-4-4-2-20000-2222-22−232323−2301−2i32i300-11i3−i3i3−i3-10000003−3−33−3i3i−3i3i0000000000000000000000000000
χ6144-4-4-2-20000-2222-22−232323−23012i3−2i300-11−i3i3−i3i3-10000003−3−333i−3i3i−3i0000000000000000000000000000
χ624-44-4-24004-4242-4-4-200000-20000220000-24-400-220000-2-2220000000000000000000000000000
χ634-44-4-2400-44242-4-4-200000-20000220000-2-44002-2000022-2-20000000000000000000000000000
χ644-44-4-2-2004-42-2222-2−2i3−2i32i32i30100−2i32i3-1-1i3i3−i3−i31-2200-22i3i3−i3−i311-1-10000000000000000000000000000
χ654-44-4-2-2004-42-2222-22i32i3−2i3−2i301002i3−2i3-1-1−i3−i3i3i31-2200-22−i3−i3i3i311-1-10000000000000000000000000000
χ664-44-4-2-200-442-2222-2−2i3−2i32i32i301002i3−2i3-1-1−i3−i3i3i312-2002-2i3i3−i3−i3-1-1110000000000000000000000000000
χ674-44-4-2-200-442-2222-22i32i3−2i3−2i30100−2i32i3-1-1i3i3−i3−i312-2002-2−i3−i3i3i3-1-1110000000000000000000000000000
χ684-4-444-24i−4i00-424-22-4−2i2i−2i2i0-20000-2200002004i−4i00−2i2i−2i2i00000000000000000000000000000000
χ694-4-444-2−4i4i00-424-22-42i−2i2i−2i0-20000-220000200−4i4i002i−2i2i−2i00000000000000000000000000000000
χ704-4-44-244i−4i002-4-24-424i−4i4i−4i0-20000-220000200−2i2i00−2i2i−2i2i00000000000000000000000000000000
χ714-4-44-24−4i4i002-4-24-42−4i4i−4i4i0-20000-2200002002i−2i002i−2i2i−2i00000000000000000000000000000000
χ724-4-44-2-24i−4i0022-2-222−2i2i−2i2i0100001-13-3-33-100−2i2i00i−ii−i−3i3i3i−3i0000000000000000000000000000
χ734-4-44-2-24i−4i0022-2-222−2i2i−2i2i0100001-1-333-3-100−2i2i00i−ii−i3i−3i−3i3i0000000000000000000000000000
χ744-4-44-2-2−4i4i0022-2-2222i−2i2i−2i0100001-13-3-33-1002i−2i00−ii−ii3i−3i−3i3i0000000000000000000000000000
χ754-4-44-2-2−4i4i0022-2-2222i−2i2i−2i0100001-1-333-3-1002i−2i00−ii−ii−3i3i3i−3i0000000000000000000000000000

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