Finite Group Databasebeta

← Group #13146634

Character table — Group #13146634

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222244499991212121212121212181818182424242436363636363636363636363636363636363636363636367272727272727272
order1222366641212222233666666666612121212222244444444412121212121212121212666612121212
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
χ1122-2-22-2-2200022-2-222-2-222-2-222-2-20000000000000002i−2i0000002i2i−2i−2i00000000
χ1222-2-22-2-2200022-2-222-2-222-2-222-2-2000000000000000−2i2i000000−2i−2i2i2i00000000
χ1322-2-22-2-22000-2-22222-2-222-2-2-2-22200000000000002-2000022-2-2000000000000
χ1422-2-22-2-22000-2-22222-2-222-2-2-2-2220000000000000-220000-2-222000000000000
χ152-22-222-2-20002-22-2222-2-2-22-22-22-2000000000002i−2i000000000000000000002i−2i
χ162-22-222-2-20002-22-2222-2-2-22-22-22-200000000000−2i2i00000000000000000000−2i2i
χ172-22-222-2-2000-22-22222-2-2-22-2-22-220000002-20000000000000000000002-20000
χ182-22-222-2-2000-22-22222-2-2-22-2-22-22000000-22000000000000000000000-220000
χ192-2-222-22-20002-2-2222-22-2-2-222-2-2200002-20000000000000000000002-2000000
χ202-2-222-22-20002-2-2222-22-2-2-222-2-220000-22000000000000000000000-22000000
χ212-2-222-22-2000-222-222-22-2-2-22-222-20000000002i−2i000000000000000000002i−2i00
χ222-2-222-22-2000-222-222-22-2-2-22-222-2000000000−2i2i00000000000000000000−2i2i00
χ234444444444400001-21-21-2-21000011-2-20022000220000000000000000-1-100-1-1
χ244444444444400001-21-21-2-21000011-2-200-2-2000-2-20000000000000000110011
χ25444444444440000-21-21-211-20000-2-21122000220000000000000000-1-100-1-100
χ26444444444440000-21-21-211-20000-2-211-2-2000-2-2000000000000000011001100
χ2744444444-4-4-400001-21-21-2-210000-1-1220022000-2-20000000000000000-1-10011
χ2844444444-4-4-400001-21-21-2-210000-1-12200-2-20002200000000000000001100-1-1
χ2944444444-4-4-40000-21-21-211-2000022-1-122000-2-20000000000000000-1-1001100
χ3044444444-4-4-40000-21-21-211-2000022-1-1-2-20002200000000000000001100-1-100
χ314-44-444-4-400000001-212-12-2-100003i−3i00002-20002i−2i0000000000000000-1100−ii
χ324-44-444-4-400000001-212-12-2-100003i−3i0000-22000−2i2i00000000000000001-100i−i
χ334-44-444-4-400000001-212-12-2-10000−3i3i00002-2000−2i2i0000000000000000-1100i−i
χ344-44-444-4-400000001-212-12-2-10000−3i3i0000-220002i−2i00000000000000001-100−ii
χ354-4-444-44-40000000-21212-1-1-20000003i−3i2-20002i−2i0000000000000000-1100−ii00
χ364-4-444-44-40000000-21212-1-1-20000003i−3i-22000−2i2i00000000000000001-100i−i00
χ374-4-444-44-40000000-21212-1-1-2000000−3i3i2-2000−2i2i0000000000000000-1100i−i00
χ384-4-444-44-40000000-21212-1-1-2000000−3i3i-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
χ4766-6-6-333-30−3i33i322-2-200000000-1-11100000000000002-200−i3i3-1-111−i3i3i3−i300000000
χ4866-6-6-333-30−3i33i322-2-200000000-1-1110000000000000-2200−i3i311-1-1i3−i3−i3i300000000
χ4966-6-6-333-30−3i33i3-2-2220000000011-1-10000000000000002i−2ii3−i33−3−33−i−iii00000000
χ5066-6-6-333-30−3i33i3-2-2220000000011-1-1000000000000000−2i2ii3−i3−333−3ii−i−i00000000
χ5166-6-6-333-303i3−3i322-2-200000000-1-11100000000000002-200i3−i3-1-111i3−i3−i3i300000000
χ5266-6-6-333-303i3−3i322-2-200000000-1-1110000000000000-2200i3−i311-1-1−i3i3i3−i300000000
χ5366-6-6-333-303i3−3i3-2-2220000000011-1-10000000000000002i−2i−i3i3−333−3−i−iii00000000
χ5466-6-6-333-303i3−3i3-2-2220000000011-1-1000000000000000−2i2i−i3i33−3−33ii−i−i00000000
χ5588-8-88-8-8800000002-4-242-44-2000000000000000000000000000000000000000
χ5688-8-88-8-880000000-424-2-42-24000000000000000000000000000000000000000
χ578-88-888-8-80000000-42-4-24-224000000000000000000000000000000000000000
χ588-8-888-88-800000002-4-2-4-2442000000000000000000000000000000000000000
χ5912-1212-12-6-6660004-44-400000000-22-2200000000000000000000000000000000000
χ6012-1212-12-6-666000-44-44000000002-22-200000000000000000000000000000000000
χ6112-12-1212-66-660004-4-4400000000-222-200000000000000000000000000000000000
χ6212-12-1212-66-66000-444-4000000002-2-2200000000000000000000000000000000000

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