Finite Group Databasebeta

← Group #13146565

Character table — Group #13146565

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222244499991212121212121212181818182424242436363636363636363636363636363636363636363636367272727272727272
order12223666412122222336666666666121212124444444444444121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111-1-11-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ511111111-1-1-11111111111111111-1-1-1-111-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1
χ611111111-1-1-11111111111111111-1-1-1-111-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111
χ711111111-1-1-11111111111111111-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1
χ811111111-1-1-11111111111111111-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ922222222222-2-2-2-222222222-2-2-2-2222200-20000000000-2-20000000000000000
χ1022222222-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20020000000000220000000000000000
χ1122-2-222-2-200022-2-2222-2-22-2-222-2-200002-20000000000000000000002-2000000
χ1222-2-222-2-200022-2-2222-2-22-2-222-2-20000-22000000000000000000000-22000000
χ1322-2-222-2-2000-2-222222-2-22-2-2-2-22200000002i−2i000000000000000000002i−2i0000
χ1422-2-222-2-2000-2-222222-2-22-2-2-2-2220000000−2i2i00000000000000000000−2i2i0000
χ152-22-22-2-220002-22-222-2-22-22-22-22-2000000000002i−2i000000000000000000002i−2i
χ162-22-22-2-220002-22-222-2-22-22-22-22-200000000000−2i2i00000000000000000000−2i2i
χ172-22-22-2-22000-22-2222-2-22-22-2-22-220000000002i−2i000000000000000000002i−2i00
χ182-22-22-2-22000-22-2222-2-22-22-2-22-22000000000−2i2i00000000000000000000−2i2i00
χ192-2-222-22-20002-2-2222-22-2-2-222-2-220000000000000002i−2i0000002i2i−2i−2i00000000
χ202-2-222-22-20002-2-2222-22-2-2-222-2-22000000000000000−2i2i000000−2i−2i2i2i00000000
χ212-2-222-22-2000-222-222-22-2-2-22-222-200000000000002i−2i00002i2i−2i−2i000000000000
χ222-2-222-22-2000-222-222-22-2-2-22-222-20000000000000−2i2i0000−2i−2i2i2i000000000000
χ234444444444400001-21-21-2-21000011-2-2000002222000000000000000000-1-1-1-1
χ244444444444400001-21-21-2-21000011-2-200000-2-2-2-20000000000000000001111
χ25444444444440000-21-21-211-20000-2-21122022000000000000000000-1-1-1-10000
χ26444444444440000-21-21-211-20000-2-211-2-20-2-200000000000000000011110000
χ2744444444-4-4-400001-21-21-2-210000-1-1220000022-2-2000000000000000000-1-111
χ2844444444-4-4-400001-21-21-2-210000-1-12200000-2-22200000000000000000011-1-1
χ2944444444-4-4-40000-21-21-211-2000022-1-1220-2-2000000000000000000-1-1110000
χ3044444444-4-4-40000-21-21-211-2000022-1-1-2-202200000000000000000011-1-10000
χ3144-4-444-4-40000000-21-2-121-120000003i−3i2-202i−2i000000000000000000-11−ii0000
χ3244-4-444-4-40000000-21-2-121-120000003i−3i-220−2i2i0000000000000000001-1i−i0000
χ3344-4-444-4-40000000-21-2-121-12000000−3i3i2-20−2i2i000000000000000000-11i−i0000
χ3444-4-444-4-40000000-21-2-121-12000000−3i3i-2202i−2i0000000000000000001-1−ii0000
χ354-44-44-4-4400000001-2-1212-2-100003-300000002i−2i2i−2i000000000000000000−ii−ii
χ364-44-44-4-4400000001-2-1212-2-100003-30000000−2i2i−2i2i000000000000000000i−ii−i
χ374-44-44-4-4400000001-2-1212-2-10000-3300000002i−2i−2i2i000000000000000000−iii−i
χ384-44-44-4-4400000001-2-1212-2-10000-330000000−2i2i2i−2i000000000000000000i−i−ii
χ396666-3-3-3-36-3-3222200000000-1-1-1-100000020000000000-1-13−33−33−33−300000000
χ406666-3-3-3-36-3-3222200000000-1-1-1-100000020000000000-1-1−33−33−33−3300000000
χ416666-3-3-3-36-3-3-2-2-2-2000000001111000000-2000000222211-1-1-1-1-1-1-1-100000000
χ426666-3-3-3-36-3-3-2-2-2-2000000001111000000-2000000-2-2-2-2111111111100000000
χ436666-3-3-3-3-633222200000000-1-1-1-1000000-20000000000113−33−3−33−3300000000
χ446666-3-3-3-3-633222200000000-1-1-1-1000000-2000000000011−33−333−33−300000000
χ456666-3-3-3-3-633-2-2-2-2000000001111000000200000022-2-2-1-1-1-1-1-1111100000000
χ466666-3-3-3-3-633-2-2-2-20000000011110000002000000-2-222-1-11111-1-1-1-100000000
χ476-6-66-33-33033−332-2-2200000000-111-100000000000002i−2i003−3−i−iii−i3i3i3−i300000000
χ486-6-66-33-33033−332-2-2200000000-111-10000000000000−2i2i003−3ii−i−ii3−i3−i3i300000000
χ496-6-66-33-33033−33-222-2000000001-1-110000000000000002i−2i−33i3−i3−i3i3−i−iii00000000
χ506-6-66-33-33033−33-222-2000000001-1-11000000000000000−2i2i−33−i3i3i3−i3ii−i−i00000000
χ516-6-66-33-330−33332-2-2200000000-111-100000000000002i−2i00−33−i−iiii3−i3−i3i300000000
χ526-6-66-33-330−33332-2-2200000000-111-10000000000000−2i2i00−33ii−i−i−i3i3i3−i300000000
χ536-6-66-33-330−3333-222-2000000001-1-110000000000000002i−2i3−3−i3i3i3−i3−i−iii00000000
χ546-6-66-33-330−3333-222-2000000001-1-11000000000000000−2i2i3−3i3−i3−i3i3ii−i−i00000000
χ5588-8-888-8-800000002-424-2-44-2000000000000000000000000000000000000000
χ568-88-88-8-880000000-424-2-4-224000000000000000000000000000000000000000
χ578-8-888-88-800000002-4-2-4-2442000000000000000000000000000000000000000
χ588-8-888-88-80000000-42424-2-2-4000000000000000000000000000000000000000
χ591212-12-12-6-66600044-4-400000000-2-22200000000000000000000000000000000000
χ601212-12-12-6-666000-4-4440000000022-2-200000000000000000000000000000000000
χ6112-1212-12-666-60004-44-400000000-22-2200000000000000000000000000000000000
χ6212-1212-12-666-6000-44-44000000002-22-200000000000000000000000000000000000

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