Finite Group Databasebeta

← Group #11713967

Character table — Group #11713967

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122223333444446666888888881212121212161616161616161616161616242424242424242448484848
order12224444222244444444436661212121244444121212121212121212121212888888882244
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
χ51111-1-1111111-111-1-1-1-1111111-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11-11-1
χ61111-1-1111111-111-1-1-1-1111111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-11-11
χ71111-1-1111111-1-1-111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-11-11
χ81111-1-1111111-1-1-111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111-11-1
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
χ11222222-2-22222-2000022-2-222222222-20000-2-2-2-200000000000000000000
χ12222222-2-22222-2000022-2-2-1-1-1-1-1-1-1-1-200001111−i3−i3i3i3−i3−i3i3i3000000000000
χ13222222-2-22222-2000022-2-2-1-1-1-1-1-1-1-1-200001111i3i3−i3−i3i3i3−i3−i3000000000000
χ142222-2-2222222-222-2-2-2-222-1-1-1-11111-222-2-2-1-111-1-1-1-11111000000000000
χ152222-2-2222222-2-2-222-2-222-1-1-1-11111-2-2-222-1-1111111-1-1-1-1000000000000
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
χ1922-2-22-2002-2-22000002-20022-2-222-2-200000000000000000−i2i2−i2i2−i2i2−i2i20000
χ2022-2-22-2002-2-22000002-20022-2-222-2-200000000000000000i2−i2i2−i2i2−i2i2−i20000
χ2122-2-2-22002-2-2200000-220022-2-2-2-22200000000000000000−i2i2i2−i2−i2i2i2−i20000
χ2222-2-2-22002-2-2200000-220022-2-2-2-22200000000000000000i2−i2−i2i2i2−i2−i2i20000
χ232-22-2002-2-22-220002i−2i002-22-22-200000002i−2i2-20000002i−2i2i−2i000000000000
χ242-22-2002-2-22-220002i−2i002-2-11-113−33−30002i−2i-113−3−i3i3−i3i3−ii−ii000000000000
χ252-22-2002-2-22-220002i−2i002-2-11-11−33−330002i−2i-11−33i3−i3i3−i3−ii−ii000000000000
χ262-22-2002-2-22-22000−2i2i002-22-22-20000000−2i2i2-2000000−2i2i−2i2i000000000000
χ272-22-2002-2-22-22000−2i2i002-2-11-113−33−3000−2i2i-113−3i3−i3i3−i3i−ii−i000000000000
χ282-22-2002-2-22-22000−2i2i002-2-11-11−33−33000−2i2i-11−33−i3i3−i3i3i−ii−i000000000000
χ292-22-200-22-22-2202-20000-222-22-2000002-200-22002-2-220000000000000000
χ302-22-200-22-22-2202-20000-22-11-113−33−302-2001-1−33-111-13−3−33000000000000
χ312-22-200-22-22-2202-20000-22-11-11−33−3302-2001-13−3-111-1−333−3000000000000
χ322-22-200-22-22-220-220000-222-22-200000-2200-2200-222-20000000000000000
χ332-22-200-22-22-220-220000-22-11-113−33−30-22001-1−331-1-11−333−3000000000000
χ342-22-200-22-22-220-220000-22-11-11−33−330-22001-13−31-1-113−3−33000000000000
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
χ393333-3-333-1-1-1-1-333-3-311-1-1000000001-1-11100000000000011-1-1-1-1111-1-11
χ403333-3-333-1-1-1-1-333-3-311-1-1000000001-1-111000000000000-1-11111-1-1-111-1
χ413333-3-333-1-1-1-1-3-3-33311-1-100000000111-1-100000000000011-1-1-1-111-111-1
χ423333-3-333-1-1-1-1-3-3-33311-1-100000000111-1-1000000000000-1-11111-1-11-1-11
χ4344-4-44-4004-4-44000004-400-2-222-2-22200000000000000000000000000000
χ4444-4-4-44004-4-4400000-4400-2-22222-2-200000000000000000000000000000
χ454-4-440000-4-4440000000004-4-44000000000000000000000000000000000
χ464-4-440000-4-444000000000-222-223−23−232300000000000000000000000000000
χ474-4-440000-4-444000000000-222-2−232323−2300000000000000000000000000000
χ48666666-6-6-2-2-2-2-60000-2-2220000000020000000000000000000000000000
χ496666-6-6-6-6-2-2-2-260000222200000000-20000000000000000000000000000
χ5066-6-66-600-222-200000-22000000000000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ5166-6-66-600-222-200000-22000000000000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ5266-6-6-6600-222-2000002-2000000000000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ5366-6-6-6600-222-2000002-2000000000000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ546-66-6006-62-22-20006i−6i00-2200000000000−2i2i000000000000000000000000
χ556-66-6006-62-22-2000−6i6i00-22000000000002i−2i000000000000000000000000
χ566-66-600-662-22-206-600002-2000000000-2200000000000000000000000000
χ576-66-600-662-22-20-6600002-20000000002-200000000000000000000000000
χ5812-12-1212000044-4-40000000000000000000000000000000000000000000000

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