Finite Group Databasebeta

← Group #11714012

Character table — Group #11714012

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122223333444446666888888881212121212161616161616161616161616242424242424242448484848
order1222444422222244444443666121212122244466661212121212121212888888884444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-11111111111111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ4111111111111-1-1-1-11111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-11111111-1-1-11-1-111111-1-1-1-111-1-1-1111111-1-1-1-1-1-111-1-111-1-11-11-1
χ611111-1-11111111-1-1-11-1-111111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-111-1-111-11-11
χ711111-1-111111-1-111-11-1-111111-1-1-1-1-1-111-1-1-1-1-111-1-1111111-1-111-1-1-11-11
χ811111-1-111111-1-111-11-1-111111-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-111-1-1111-11-1
χ9222222222222222222222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ10222222222222-2-2-2-222222-1-1-1-1-1-1-1-1-2-2-2-221111-1-1-1-11111000000000000
χ1122222-2-22222222-2-2-22-2-22-1-1-1-1111122-2-2-2-1-1-1-1-1-1111111000000000000
χ1222222-2-222222-2-222-22-2-22-1-1-1-11111-2-222-21111-1-111-1-1-1-1000000000000
χ132222-222-222220000-2-222-2222222220000-20000-2-2-2-20000000000000000
χ142222-222-222220000-2-222-2-1-1-1-1-1-1-1-10000-2−i3−i3i3i31111−i3−i3i3i3000000000000
χ152222-222-222220000-2-222-2-1-1-1-1-1-1-1-10000-2i3i3−i3−i31111i3i3−i3−i3000000000000
χ162222-2-2-2-2222200002-2-2-2-22222-2-2-2-2000020000-2-2220000000000000000
χ172222-2-2-2-2222200002-2-2-2-2-1-1-1-1111100002−i3−i3i3i311-1-1i3i3−i3−i3000000000000
χ182222-2-2-2-2222200002-2-2-2-2-1-1-1-1111100002i3i3−i3−i311-1-1−i3−i3i3i3000000000000
χ1922-2-2200-222-2-22-2000200-222-2-200002-20002-22-22-2000000000000000000
χ2022-2-2200-222-2-22-2000200-2-1-11133−3−32-2000-11-11-113−33−33−3000000000000
χ2122-2-2200-222-2-22-2000200-2-1-111−3−3332-2000-11-11-11−33−33−33000000000000
χ2222-2-2200-222-2-2-22000200-222-2-20000-22000-22-222-2000000000000000000
χ2322-2-2200-222-2-2-22000200-2-1-11133−3−3-220001-11-1-113−3−33−33000000000000
χ2422-2-2200-222-2-2-22000200-2-1-111−3−333-220001-11-1-11−333−33−3000000000000
χ2522-2-2-200222-2-2002i−2i0-200222-2-20000002i−2i00000-22002i−2i−2i2i000000000000
χ2622-2-2-200222-2-2002i−2i0-2002-1-11133−3−3002i−2i0−i3i3i3−i31-1−33−iii−i000000000000
χ2722-2-2-200222-2-2002i−2i0-2002-1-111−3−333002i−2i0i3−i3−i3i31-13−3−iii−i000000000000
χ2822-2-2-200222-2-200−2i2i0-200222-2-2000000−2i2i00000-2200−2i2i2i−2i000000000000
χ2922-2-2-200222-2-200−2i2i0-2002-1-11133−3−300−2i2i0i3−i3−i3i31-1−33i−i−ii000000000000
χ3022-2-2-200222-2-200−2i2i0-2002-1-111−3−33300−2i2i0−i3i3i3−i31-13−3i−i−ii000000000000
χ312-22-202-202-22-20000002-202-2-222-22-200000000000000000−i2i2−i2i2−i2i2−i2i20000
χ322-22-202-202-22-20000002-202-2-222-22-200000000000000000i2−i2i2−i2i2−i2i2−i20000
χ332-22-20-2202-22-2000000-2202-2-22-22-2200000000000000000−i2i2i2−i2−i2i2i2−i20000
χ342-22-20-2202-22-2000000-2202-2-22-22-2200000000000000000i2−i2−i2i2i2−i2−i2i20000
χ3533333333-1-1-1-133333-1-1-1-100000000-1-1-1-1-10000000000001111-1-1-1-111-1-1
χ3633333333-1-1-1-133333-1-1-1-100000000-1-1-1-1-1000000000000-1-1-1-11111-1-111
χ3733333333-1-1-1-1-3-3-3-33-1-1-1-1000000001111-10000000000001111-1-1-1-1-1-111
χ3833333333-1-1-1-1-3-3-3-33-1-1-1-1000000001111-1000000000000-1-1-1-1111111-1-1
χ3933333-3-33-1-1-1-133-3-3-3-111-100000000-1-111100000000000011-1-1-1-1111-1-11
χ4033333-3-33-1-1-1-133-3-3-3-111-100000000-1-1111000000000000-1-11111-1-1-111-1
χ4133333-3-33-1-1-1-1-3-333-3-111-10000000011-1-1100000000000011-1-1-1-111-111-1
χ4233333-3-33-1-1-1-1-3-333-3-111-10000000011-1-11000000000000-1-11111-1-11-1-11
χ434-44-404-404-44-40000004-40-222-2-22-2200000000000000000000000000000
χ444-44-40-4404-44-4000000-440-222-22-22-200000000000000000000000000000
χ454-4-4400004-4-440000000004-44-4000000000000000000000000000000000
χ464-4-4400004-4-44000000000-22-2223−23−232300000000000000000000000000000
χ474-4-4400004-4-44000000000-22-22−232323−2300000000000000000000000000000
χ486666-666-6-2-2-2-20000-62-2-220000000000002000000000000000000000000
χ496666-6-6-6-6-2-2-2-2000062222000000000000-2000000000000000000000000
χ5066-6-6600-6-2-2226-6000-200200000000-22000000000000000000000000000
χ5166-6-6600-6-2-222-66000-2002000000002-2000000000000000000000000000
χ5266-6-6-6006-2-222006i−6i0200-20000000000−2i2i0000000000000000000000000
χ5366-6-6-6006-2-22200−6i6i0200-200000000002i−2i0000000000000000000000000
χ546-66-606-60-22-22000000-2200000000000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ556-66-606-60-22-22000000-2200000000000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ566-66-60-660-22-220000002-200000000000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ576-66-60-660-22-220000002-200000000000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ5812-12-12120000-444-40000000000000000000000000000000000000000000000

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