Finite Group Databasebeta

← Group #10591468

Character table — Group #10591468

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122222222224444444444444466666688888888121212121212121212121212121212242424363672
order12223344666666223666666612121212441212121266666612124448812121212121224242424266884
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-11111111-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111-1-11-1-1-1-11111111111111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-111-1
χ611111111111111-1-11-1-1-1-11111111111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11
χ711111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-111111111-1-1-1-1-11
χ811111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-111111-1
χ9222222-2-22222220020000222-2-2-2-2222222000000-2-2-20000-2-200000000000000
χ10222222-2-22222220020000222-2-2-2-2-2-2-2-2-2-2000000-2-2200002200000000000000
χ1122222-122-1-12-12222-12222-1-1-122-1-1000000-1-1-1-1-1-1-1-100022000000-1-1-1-12-1-1000
χ1222222-122-1-12-12222-12222-1-1-122-1-1000000-1-1-1-1-1-1-1-1000-2-20000001111-211000
χ1322222-122-1-12-122-2-2-1-2-2-2-2-1-1-122-1-1000000111111-1-100022000000-1-1-1-1-211000
χ1422222-122-1-12-122-2-2-1-2-2-2-2-1-1-122-1-1000000111111-1-1000-2-200000011112-1-1000
χ152222-122222-12-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-122200-1-1-1-1-1-10000000000
χ162222-122222-12-1-122-1-1-1-1-1-1-1-1-1-122-2-2111122-1-1-1-1-1-1-2-2-2001111110000000000
χ172222-122222-12-1-1-2-2-11111-1-1-1-1-12222-1-1-1-1-2-21111-1-12-2-200-1-111110000000000
χ182222-122222-12-1-1-2-2-11111-1-1-1-1-122-2-21111-2-21111-1-1-2220011-1-1-1-10000000000
χ192222-12-2-222-12-1-100-1−i3−i3i3i3-1-1-111-2-222-1-1-1-100−i3−i3i3i311-2000011−i3−i3i3i30000000000
χ202222-12-2-222-12-1-100-1−i3−i3i3i3-1-1-111-2-2-2-2111100−i3−i3i3i31120000-1-1i3i3−i3−i30000000000
χ212222-12-2-222-12-1-100-1i3i3−i3−i3-1-1-111-2-222-1-1-1-100i3i3−i3−i311-2000011i3i3−i3−i30000000000
χ222222-12-2-222-12-1-100-1i3i3−i3−i3-1-1-111-2-2-2-2111100i3i3−i3−i31120000-1-1−i3−i3i3i30000000000
χ2322-2-222002-2-2-22-200200002-2-200002i−2i2i2i−2i−2i000000000002−200000022−2−2000−i2i20
χ2422-2-222002-2-2-22-200200002-2-200002i−2i2i2i−2i−2i00000000000−22000000−2−222000i2−i20
χ2522-2-222002-2-2-22-200200002-2-20000−2i2i−2i−2i2i2i000000000002−200000022−2−2000i2−i20
χ2622-2-222002-2-2-22-200200002-2-20000−2i2i−2i−2i2i2i00000000000−22000000−2−222000−i2i20
χ272-2-22222-2-2-222-2-20020000-2-222-22-20000000000002-202i−2i00002i−2i2i−2i0000000000
χ282-2-22222-2-2-222-2-20020000-2-222-22-20000000000002-20−2i2i0000−2i2i−2i2i0000000000
χ292-2-2222-22-2-222-2-22-222-22-2-2-22-22-220000002-22-22-2-22000000000000000000000
χ302-2-2222-22-2-222-2-2-222-22-22-2-22-22-22000000-22-22-22-22000000000000000000000
χ312-2-222-1-22112-1-2-22-2-12-22-211-1-221-1000000-11-11-111-100000000000−i3i3−i3i30−i3i3000
χ322-2-222-1-22112-1-2-22-2-12-22-211-1-221-1000000-11-11-111-100000000000i3−i3i3−i30i3−i3000
χ332-2-222-1-22112-1-2-2-22-1-22-2211-1-221-10000001-11-11-11-100000000000−i3i3−i3i30i3−i3000
χ342-2-222-1-22112-1-2-2-22-1-22-2211-1-221-10000001-11-11-11-100000000000i3−i3i3−i30−i3i3000
χ352-2-22-122-2-2-2-121100-1−i3i3i3−i311-1-112-2003−33−300−i3i3i3−i3-1102i−2i003−3−ii−ii0000000000
χ362-2-22-122-2-2-2-121100-1−i3i3i3−i311-1-112-200−33−3300−i3i3i3−i3-110−2i2i00−33i−ii−i0000000000
χ372-2-22-122-2-2-2-121100-1i3−i3−i3i311-1-112-2003−33−300i3−i3−i3i3-110−2i2i003−3i−ii−i0000000000
χ382-2-22-122-2-2-2-121100-1i3−i3−i3i311-1-112-200−33−3300i3−i3−i3i3-1102i−2i00−33−ii−ii0000000000
χ392-2-22-12-22-2-2-12112-2-1-11-1111-11-1-22003−33−32-2-11-111-100000−333−3−330000000000
χ402-2-22-12-22-2-2-12112-2-1-11-1111-11-1-2200−33−332-2-11-111-1000003−3−333−30000000000
χ412-2-22-12-22-2-2-1211-22-11-11-111-11-1-22003−33−3-221-11-11-100000−33−333−30000000000
χ422-2-22-12-22-2-2-1211-22-11-11-111-11-1-2200−33−33-221-11-11-1000003−33−3−330000000000
χ4344444-2-4-4-2-24-24400-20000-2-2-2-4-42200000000000022000000000000000000000
χ444444-2-244-2-2-2-2-2-2441-2-2-2-2111-2-2-2-2000000-2-2111111000000000000000000000
χ454444-2-244-2-2-2-2-2-2-4-412222111-2-2-2-200000022-1-1-1-111000000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-2001−2i3−2i32i32i3111222200000000i3i3−i3−i3-1-1000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-20012i32i3−2i3−2i3111222200000000−i3−i3i3i3-1-1000000000000000000000
χ4844-4-44-200-22-424-400-20000-22200000000000000000000022−22000000−2−222000000
χ4944-4-44-200-22-424-400-20000-222000000000000000000000−222200000022−2−2000000
χ5044-4-4-24004-42-4-2200-20000-22200004i−4i−2i−2i2i2i00000000000000000000000000000
χ5144-4-4-24004-42-4-2200-20000-2220000−4i4i2i2i−2i−2i00000000000000000000000000000
χ524-44-44400-44-4-4-440040000-44-4000000000000000000000000000000000000000
χ534-44-44-2002-2-42-4400-200002-2200000000000000000000000000000i6−i6−i6i6000000
χ544-44-44-2002-2-42-4400-200002-2200000000000000000000000000000−i6i6i6−i6000000
χ554-44-4-2400-442-42-200-200002-22000000−2i32i32i3−2i300000000000000000000000000000
χ564-44-4-2400-442-42-200-200002-220000002i3−2i3−2i32i300000000000000000000000000000
χ574-4-444-24-4224-2-4-400-2000022-24-4-22000000000000-22000000000000000000000
χ584-4-44-2-24-422-2-222001−2i32i32i3−2i3-1-11-22-2200000000i3−i3−i3i31-1000000000000000000000
χ594-4-44-2-24-422-2-2220012i3−2i3−2i32i3-1-11-22-2200000000−i3i3i3−i31-1000000000000000000000
χ604-4-44-2-2-4422-2-2224-41-22-22-1-112-22-2000000-221-11-1-11000000000000000000000
χ614-4-44-2-2-4422-2-222-4412-22-2-1-112-22-20000002-2-11-11-11000000000000000000000
χ6288-8-8-4-400-4444-4400200002-2-2000000000000000000000000000000000000000
χ638-88-8-4-4004-4444-40020000-22-2000000000000000000000000000000000000000

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