Finite Group Databasebeta

← Group #13146617

Character table — Group #13146617

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222244499991212121212121212181818182424242436363636363636363636363636363636363636363636367272727272727272
order12223666412122222336666666666121212124444444444444121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1
χ31111111111111111111111111111111-1-1111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111
χ41111111111111111111111111111111-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ511111111-1-1-11111111111111111-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
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
χ711111111-1-1-11111111111111111-1-1-1-1-1-111-111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1
χ811111111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ922222222222-2-2-2-222222222-2-2-2-222220000-200000000-2-20000000000000000
χ1022222222-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000200000000220000000000000000
χ1122-2-222-2-200022-2-2222-22-2-2-222-2-20000002-20000000000000000000002-20000
χ1222-2-222-2-200022-2-2222-22-2-2-222-2-2000000-22000000000000000000000-220000
χ1322-2-222-2-2000-2-222222-22-2-2-2-2-222000000000002i−2i000000000000000000002i−2i
χ1422-2-222-2-2000-2-222222-22-2-2-2-2-22200000000000−2i2i00000000000000000000−2i2i
χ152-22-22-22-20002-22-222-22-22-2-22-22-200002-20000000000000000000002-2000000
χ162-22-22-22-20002-22-222-22-22-2-22-22-20000-22000000000000000000000-22000000
χ172-22-22-22-2000-22-2222-22-22-2-2-22-220000000002i−2i000000000000000000002i−2i00
χ182-22-22-22-2000-22-2222-22-22-2-2-22-22000000000−2i2i00000000000000000000−2i2i00
χ192-2-222-2-220002-2-2222-2-2-2-2222-2-2200000000000002-2000022-2-2000000000000
χ202-2-222-2-220002-2-2222-2-2-2-2222-2-220000000000000-220000-2-222000000000000
χ212-2-222-2-22000-222-222-2-2-2-222-222-20000000000000002i−2i0000002i2i−2i−2i00000000
χ222-2-222-2-22000-222-222-2-2-2-222-222-2000000000000000−2i2i000000−2i−2i2i2i00000000
χ234444444444400001-21-2-211-2000011-2-222000220000000000000000-1-100-1-100
χ244444444444400001-21-2-211-2000011-2-2-2-2000-2-2000000000000000011001100
χ25444444444440000-21-211-2-210000-2-2110022000220000000000000000-1-100-1-1
χ26444444444440000-21-211-2-210000-2-21100-2-2000-2-20000000000000000110011
χ2744444444-4-4-400001-21-2-211-20000-1-12222000-2-20000000000000000-1-1001100
χ2844444444-4-4-400001-21-2-211-20000-1-122-2-20002200000000000000001100-1-100
χ2944444444-4-4-40000-21-211-2-21000022-1-10022000-2-20000000000000000-1-10011
χ3044444444-4-4-40000-21-211-2-21000022-1-100-2-20002200000000000000001100-1-1
χ3144-4-444-4-40000000-21-2-1122-10000003i−3i002-20002i−2i0000000000000000-1100−ii
χ3244-4-444-4-40000000-21-2-1122-10000003i−3i00-22000−2i2i00000000000000001-100i−i
χ3344-4-444-4-40000000-21-2-1122-1000000−3i3i002-2000−2i2i0000000000000000-1100i−i
χ3444-4-444-4-40000000-21-2-1122-1000000−3i3i00-220002i−2i00000000000000001-100−ii
χ354-44-44-44-400000001-2-1-221-1200003i−3i002-20002i−2i0000000000000000-1100−ii00
χ364-44-44-44-400000001-2-1-221-1200003i−3i00-22000−2i2i00000000000000001-100i−i00
χ374-44-44-44-400000001-2-1-221-120000−3i3i002-2000−2i2i0000000000000000-1100i−i00
χ384-44-44-44-400000001-2-1-221-120000−3i3i00-220002i−2i00000000000000001-100−ii00
χ396666-3-3-3-36-3-3222200000000-1-1-1-100000000200000000-1-13−33−33−33−300000000
χ406666-3-3-3-36-3-3222200000000-1-1-1-100000000200000000-1-1−33−33−33−3300000000
χ416666-3-3-3-36-3-3-2-2-2-200000000111100000000-20000222211-1-1-1-1-1-1-1-100000000
χ426666-3-3-3-36-3-3-2-2-2-200000000111100000000-20000-2-2-2-2111111111100000000
χ436666-3-3-3-3-633222200000000-1-1-1-100000000-200000000113−33−3−33−3300000000
χ446666-3-3-3-3-633222200000000-1-1-1-100000000-20000000011−33−333−33−300000000
χ456666-3-3-3-3-633-2-2-2-2000000001111000000002000022-2-2-1-1-1-1-1-1111100000000
χ466666-3-3-3-3-633-2-2-2-20000000011110000000020000-2-222-1-11111-1-1-1-100000000
χ476-6-66-333-30−3i33i32-2-2200000000-111-10000000000000002i−2i−i3i33−3−33−i−iii00000000
χ486-6-66-333-30−3i33i32-2-2200000000-111-1000000000000000−2i2i−i3i3−333−3ii−i−i00000000
χ496-6-66-333-30−3i33i3-222-2000000001-1-1100000000000002-200i3−i3-1-111−i3i3i3−i300000000
χ506-6-66-333-30−3i33i3-222-2000000001-1-110000000000000-2200i3−i311-1-1i3−i3−i3i300000000
χ516-6-66-333-303i3−3i32-2-2200000000-111-10000000000000002i−2ii3−i3−333−3−i−iii00000000
χ526-6-66-333-303i3−3i32-2-2200000000-111-1000000000000000−2i2ii3−i33−3−33ii−i−i00000000
χ536-6-66-333-303i3−3i3-222-2000000001-1-1100000000000002-200−i3i3-1-111i3−i3−i3i300000000
χ546-6-66-333-303i3−3i3-222-2000000001-1-110000000000000-2200−i3i311-1-1−i3i3i3−i300000000
χ5588-8-888-8-800000002-424-4-2-24000000000000000000000000000000000000000
χ568-88-88-88-80000000-4242-2-44-2000000000000000000000000000000000000000
χ578-8-888-8-8800000002-4-244-22-4000000000000000000000000000000000000000
χ588-8-888-8-880000000-424-2-24-42000000000000000000000000000000000000000
χ591212-12-12-6-66600044-4-400000000-2-22200000000000000000000000000000000000
χ601212-12-12-6-666000-4-4440000000022-2-200000000000000000000000000000000000
χ6112-1212-12-66-660004-44-400000000-22-2200000000000000000000000000000000000
χ6212-1212-12-66-66000-44-44000000002-22-200000000000000000000000000000000000

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