Finite Group Databasebeta

← Group #13146708

Character table — Group #13146708

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222244499991212121212121212181818182424242436363636363636363636363636363636363636363636367272727272727272
order12223666266222233666666666666662222244444444661212121212121212666612121212
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1
χ311111111111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ511111111-1-1-11111111111111111-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-1-11111111111111111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111
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
χ811111111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
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
χ1122-2-222-2-200022-2-22222-2-2-2-222-2-20000000000000002i−2i0000002i2i−2i−2i00000000
χ1222-2-222-2-200022-2-22222-2-2-2-222-2-2000000000000000−2i2i000000−2i−2i2i2i00000000
χ1322-2-222-2-2000-2-2222222-2-2-2-2-2-22200000000000002-2000022-2-2000000000000
χ1422-2-222-2-2000-2-2222222-2-2-2-2-2-2220000000000000-220000-2-222000000000000
χ152-22-22-22-20002-22-222-2-22-22-22-22-2000000000002-2000000000000000000002-2
χ162-22-22-22-20002-22-222-2-22-22-22-22-200000000000-2200000000000000000000-22
χ172-22-22-22-2000-22-2222-2-22-22-2-22-2200000002-2000000000000000000002-20000
χ182-22-22-22-2000-22-2222-2-22-22-2-22-220000000-2200000000000000000000-220000
χ192-2-222-2-220002-2-2222-2-2-22-222-2-22000002-2000000000000000000002-2000000
χ202-2-222-2-220002-2-2222-2-2-22-222-2-2200000-2200000000000000000000-22000000
χ212-2-222-2-22000-222-222-2-2-22-22-222-20000000002-2000000000000000000002-200
χ222-2-222-2-22000-222-222-2-2-22-22-222-2000000000-2200000000000000000000-2200
χ234444444444400001-21-21-2-21000011-2-202200220000000000000000-1-100-1-100
χ244444444444400001-21-21-2-21000011-2-20-2-200-2-2000000000000000011001100
χ25444444444440000-21-21-211-20000-2-2110002200220000000000000000-1-100-1-1
χ26444444444440000-21-21-211-20000-2-211000-2-200-2-20000000000000000110011
χ2744444444-4-4-400001-21-21-2-210000-1-12202200-2-20000000000000000-1-1001100
χ2844444444-4-4-400001-21-21-2-210000-1-1220-2-2002200000000000000001100-1-100
χ2944444444-4-4-40000-21-21-211-2000022-1-10002200-2-20000000000000000-1-10011
χ3044444444-4-4-40000-21-21-211-2000022-1-1000-2-2002200000000000000001100-1-1
χ314-44-44-44-40000000-212-1-2-1120000003-30002-2002-20000000000000000-1100-11
χ324-44-44-44-40000000-212-1-2-1120000003-3000-2200-2200000000000000001-1001-1
χ334-44-44-44-40000000-212-1-2-112000000-330002-200-220000000000000000-11001-1
χ344-44-44-44-40000000-212-1-2-112000000-33000-22002-200000000000000001-100-11
χ354-4-444-4-4400000001-2-12-1-22100003-30002-2002-20000000000000000-1100-1100
χ364-4-444-4-4400000001-2-12-1-22100003-3000-2200-2200000000000000001-1001-100
χ374-4-444-4-4400000001-2-12-1-2210000-330002-200-220000000000000000-11001-100
χ384-4-444-4-4400000001-2-12-1-2210000-33000-22002-200000000000000001-100-1100
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
χ4766-6-6-3-3330−3i33i322-2-200000000-1-11100000000000002-200−i3i3-1-111−i3i3i3−i300000000
χ4866-6-6-3-3330−3i33i322-2-200000000-1-1110000000000000-2200−i3i311-1-1i3−i3−i3i300000000
χ4966-6-6-3-3330−3i33i3-2-2220000000011-1-10000000000000002i−2ii3−i33−3−33−i−iii00000000
χ5066-6-6-3-3330−3i33i3-2-2220000000011-1-1000000000000000−2i2ii3−i3−333−3ii−i−i00000000
χ5166-6-6-3-33303i3−3i322-2-200000000-1-11100000000000002-200i3−i3-1-111i3−i3−i3i300000000
χ5266-6-6-3-33303i3−3i322-2-200000000-1-1110000000000000-2200i3−i311-1-1−i3i3i3−i300000000
χ5366-6-6-3-33303i3−3i3-2-2220000000011-1-10000000000000002i−2i−i3i3−333−3−i−iii00000000
χ5466-6-6-3-33303i3−3i3-2-2220000000011-1-1000000000000000−2i2i−i3i33−3−33ii−i−i00000000
χ5588-8-888-8-800000002-42-4-244-2000000000000000000000000000000000000000
χ5688-8-888-8-80000000-42-424-2-24000000000000000000000000000000000000000
χ578-88-88-88-800000002-4-2424-4-2000000000000000000000000000000000000000
χ588-8-888-8-880000000-424-242-2-4000000000000000000000000000000000000000
χ5912-1212-12-66-660004-44-400000000-22-2200000000000000000000000000000000000
χ6012-1212-12-66-66000-44-44000000002-22-200000000000000000000000000000000000
χ6112-12-1212-666-60004-4-4400000000-222-200000000000000000000000000000000000
χ6212-12-1212-666-6000-444-4000000002-2-2200000000000000000000000000000000000

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