Finite Group Databasebeta

← Group #11714009

Character table — Group #11714009

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122223333444446666888888881212121212161616161616161616161616242424242424242448484848
order12224444222244444444436661212121244444121212121212121212121212888888884444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-111111-111-1-11-1-111111-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11-11-1
χ611111-1-111111-111-1-11-1-111111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-11-11
χ711111-1-111111-1-1-1111-1-111111-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-11-11
χ811111-1-111111-1-1-1111-1-111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111-11-1
χ9222222222222222222222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ102222222222222-2-2-2-22222-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-111111111000000000000
χ1122222-2-222222-222-2-22-2-22-1-1-1-11111-222-2-2-1-111-1-1-1-11111000000000000
χ1222222-2-222222-2-2-2222-2-22-1-1-1-11111-2-2-222-1-1111111-1-1-1-1000000000000
χ132222-222-22222-20000-222-222222222-20000-2-2-2-200000000000000000000
χ142222-222-22222-20000-222-2-1-1-1-1-1-1-1-1-200001111−i3−i3i3i3−i3−i3i3i3000000000000
χ152222-222-22222-20000-222-2-1-1-1-1-1-1-1-1-200001111i3i3−i3−i3i3i3−i3−i3000000000000
χ162222-2-2-2-2222220000-2-2-2-22222-2-2-2-220000-2-22200000000000000000000
χ172222-2-2-2-2222220000-2-2-2-2-1-1-1-111112000011-1-1−i3−i3i3i3i3i3−i3−i3000000000000
χ182222-2-2-2-2222220000-2-2-2-2-1-1-1-111112000011-1-1i3i3−i3−i3−i3−i3i3i3000000000000
χ1922-2-2200-222-2-20002-2200-22-22-200000002-22-20000002-22-2000000000000
χ2022-2-2200-222-2-20002-2200-2-11-1133−3−30002-2-113−33−33−3-11-11000000000000
χ2122-2-2200-222-2-20002-2200-2-11-11−3−3330002-2-11−33−33−33-11-11000000000000
χ2222-2-2200-222-2-2000-22200-22-22-20000000-222-2000000-22-22000000000000
χ2322-2-2200-222-2-2000-22200-2-11-1133−3−3000-22-113−3−33−331-11-1000000000000
χ2422-2-2200-222-2-2000-22200-2-11-11−3−333000-22-11−333−33−31-11-1000000000000
χ2522-2-2-200222-2-202i−2i00-20022-22-2000002i−2i00-22002i−2i−2i2i0000000000000000
χ2622-2-2-200222-2-202i−2i00-2002-11-1133−3−302i−2i001-1−33−iii−i−i3i3i3−i3000000000000
χ2722-2-2-200222-2-202i−2i00-2002-11-11−3−33302i−2i001-13−3−iii−ii3−i3−i3i3000000000000
χ2822-2-2-200222-2-20−2i2i00-20022-22-200000−2i2i00-2200−2i2i2i−2i0000000000000000
χ2922-2-2-200222-2-20−2i2i00-2002-11-1133−3−30−2i2i001-1−33i−i−iii3−i3−i3i3000000000000
χ3022-2-2-200222-2-20−2i2i00-2002-11-11−3−3330−2i2i001-13−3i−i−ii−i3i3i3−i3000000000000
χ312-2-2202-202-2-220000002-2022-2-22-22-200000000000000000−i2i2−i2i2−i2i2−i2i20000
χ322-2-2202-202-2-220000002-2022-2-22-22-200000000000000000i2−i2i2−i2i2−i2i2−i20000
χ332-2-220-2202-2-22000000-22022-2-2-22-2200000000000000000−i2i2i2−i2−i2i2i2−i20000
χ342-2-220-2202-2-22000000-22022-2-2-22-2200000000000000000i2−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
χ3733333333-1-1-1-13-3-3-3-3-1-1-1-100000000-111110000000000001111-1-1-1-1-1-111
χ3833333333-1-1-1-13-3-3-3-3-1-1-1-100000000-11111000000000000-1-1-1-1111111-1-1
χ3933333-3-33-1-1-1-1-333-3-3-111-1000000001-1-11100000000000011-1-1-1-1111-1-11
χ4033333-3-33-1-1-1-1-333-3-3-111-1000000001-1-111000000000000-1-11111-1-1-111-1
χ4133333-3-33-1-1-1-1-3-3-333-111-100000000111-1-100000000000011-1-1-1-111-111-1
χ4233333-3-33-1-1-1-1-3-3-333-111-100000000111-1-1000000000000-1-11111-1-11-1-11
χ434-44-400004-44-40000000004-4-44000000000000000000000000000000000
χ444-44-400004-44-4000000000-222-223−23−232300000000000000000000000000000
χ454-44-400004-44-4000000000-222-2−232323−2300000000000000000000000000000
χ464-4-4404-404-4-440000004-40-2-222-22-2200000000000000000000000000000
χ474-4-440-4404-4-44000000-440-2-2222-22-200000000000000000000000000000
χ486666-666-6-2-2-2-2-600002-2-220000000020000000000000000000000000000
χ496666-6-6-6-6-2-2-2-260000222200000000-20000000000000000000000000000
χ5066-6-6600-6-2-2220006-6-200200000000000-22000000000000000000000000
χ5166-6-6600-6-2-222000-66-2002000000000002-2000000000000000000000000
χ5266-6-6-6006-2-22206i−6i00200-2000000000−2i2i00000000000000000000000000
χ5366-6-6-6006-2-2220−6i6i00200-20000000002i−2i00000000000000000000000000
χ546-6-6606-60-222-2000000-2200000000000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ556-6-6606-60-222-2000000-2200000000000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ566-6-660-660-222-20000002-200000000000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ576-6-660-660-222-20000002-200000000000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ5812-1212-120000-44-440000000000000000000000000000000000000000000000

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