Finite Group Databasebeta

← Group #13146616

Character table — Group #13146616

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
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ511111111-1-1-11111111111111111-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ611111111-1-1-11111111111111111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111
χ711111111-1-1-11111111111111111-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1
χ811111111-1-1-11111111111111111-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ922222222222-2-2-2-222222222-2-2-2-22222-2000000000000-2-20000000000000000
χ1022222222-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22000000000000220000000000000000
χ1122-2-222-2-20002-22-22222-2-2-2-22-22-20000000000000002-200000022-2-200000000
χ1222-2-222-2-20002-22-22222-2-2-2-22-22-2000000000000000-22000000-2-22200000000
χ1322-2-222-2-2000-22-222222-2-2-2-2-22-2200000000000002-2000022-2-2000000000000
χ1422-2-222-2-2000-22-222222-2-2-2-2-22-220000000000000-220000-2-222000000000000
χ152-22-22-2-220002-2-2222-2-22-22-22-2-22000000000002i−2i000000000000000000002i−2i
χ162-22-22-2-220002-2-2222-2-22-22-22-2-2200000000000−2i2i00000000000000000000−2i2i
χ172-22-22-2-22000-222-222-2-22-22-2-222-20000000002i−2i000000000000000000002i−2i00
χ182-22-22-2-22000-222-222-2-22-22-2-222-2000000000−2i2i00000000000000000000−2i2i00
χ192-2-222-22-200022-2-222-2-2-22-2222-2-2000002i−2i00000000000000000000002i−2i0000
χ202-2-222-22-200022-2-222-2-2-22-2222-2-200000−2i2i0000000000000000000000−2i2i0000
χ212-2-222-22-2000-2-22222-2-2-22-22-2-22200000002-20000000000000000002-2000000
χ222-2-222-22-2000-2-22222-2-2-22-22-2-2220000000-22000000000000000000-22000000
χ234444444444400001-21-21-2-21000011-2-2000002222000000000000000000-1-1-1-1
χ244444444444400001-21-21-2-21000011-2-200000-2-2-2-20000000000000000001111
χ25444444444440000-21-21-211-20000-2-21102222000000000000000000-1-1-1-10000
χ26444444444440000-21-21-211-20000-2-2110-2-2-2-200000000000000000011110000
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
χ2944444444-4-4-40000-21-21-211-2000022-1-1022-2-200000000000000000011-1-10000
χ3044444444-4-4-40000-21-21-211-2000022-1-10-2-222000000000000000000-1-1110000
χ314-44-44-4-4400000001-2-1212-2-100003-300000002i−2i2i−2i000000000000000000−ii−ii
χ324-44-44-4-4400000001-2-1212-2-100003-30000000−2i2i−2i2i000000000000000000i−ii−i
χ334-44-44-4-4400000001-2-1212-2-10000-3300000002i−2i−2i2i000000000000000000−iii−i
χ344-44-44-4-4400000001-2-1212-2-10000-330000000−2i2i2i−2i000000000000000000i−i−ii
χ354-4-444-44-40000000-212-121-1-20000003i−3i02i−2i2-2000000000000000000-11−ii0000
χ364-4-444-44-40000000-212-121-1-20000003i−3i0−2i2i-220000000000000000001-1i−i0000
χ374-4-444-44-40000000-212-121-1-2000000−3i3i02i−2i-220000000000000000001-1−ii0000
χ384-4-444-44-40000000-212-121-1-2000000−3i3i0−2i2i2-2000000000000000000-11i−i0000
χ396666-3-3-3-36-3-3222200000000-1-1-1-100002000000000000-1-13−33−33−33−300000000
χ406666-3-3-3-36-3-3222200000000-1-1-1-100002000000000000-1-1−33−33−33−3300000000
χ416666-3-3-3-36-3-3-2-2-2-20000000011110000-200000000222211-1-1-1-1-1-1-1-100000000
χ426666-3-3-3-36-3-3-2-2-2-20000000011110000-200000000-2-2-2-2111111111100000000
χ436666-3-3-3-3-633222200000000-1-1-1-10000-2000000000000113−33−3−33−3300000000
χ446666-3-3-3-3-633222200000000-1-1-1-10000-200000000000011−33−333−33−300000000
χ456666-3-3-3-3-633-2-2-2-2000000001111000020000000022-2-2-1-1-1-1-1-1111100000000
χ466666-3-3-3-3-633-2-2-2-20000000011110000200000000-2-222-1-11111-1-1-1-100000000
χ4766-6-6-3-333033−332-22-200000000-11-1100000000000002-2003−3-1-1113−3−3300000000
χ4866-6-6-3-333033−332-22-200000000-11-110000000000000-22003−311-1-1−333−300000000
χ4966-6-6-3-333033−33-22-22000000001-11-10000000000000002-2−33−333−3-1-11100000000
χ5066-6-6-3-333033−33-22-22000000001-11-1000000000000000-22−333−3−3311-1-100000000
χ5166-6-6-3-3330−33332-22-200000000-11-1100000000000002-200−33-1-111−333−300000000
χ5266-6-6-3-3330−33332-22-200000000-11-110000000000000-2200−3311-1-13−3−3300000000
χ5366-6-6-3-3330−3333-22-22000000001-11-10000000000000002-23−33−3−33-1-11100000000
χ5466-6-6-3-3330−3333-22-22000000001-11-1000000000000000-223−3−333−311-1-100000000
χ5588-8-888-8-800000002-42-4-244-2000000000000000000000000000000000000000
χ5688-8-888-8-80000000-42-424-2-24000000000000000000000000000000000000000
χ578-88-88-8-880000000-424-2-4-224000000000000000000000000000000000000000
χ588-8-888-88-800000002-4-24-2-442000000000000000000000000000000000000000
χ5912-1212-12-666-60004-4-4400000000-222-200000000000000000000000000000000000
χ6012-1212-12-666-6000-444-4000000002-2-2200000000000000000000000000000000000
χ6112-12-1212-66-6600044-4-400000000-2-22200000000000000000000000000000000000
χ6212-12-1212-66-66000-4-4440000000022-2-200000000000000000000000000000000000

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