Finite Group Databasebeta

← Group #11714013

Character table — Group #11714013

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122223333444446666888888881212121212161616161616161616161616242424242424242448484848
order12224444222244444444436661212121244444121212121212121212121212888888884444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-11-1-1111111111111-1-11-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111-1-11-1-1111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-111111111-1-1-1-1-1111111-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-111-1-11-11-1
χ61111-1-111111111-1-1-1-1-1111111-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-111-1-111-11-11
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
χ10222222222222-2-22-2-22222-1-1-1-1-1-1-1-1-2-22-2-2-1-1-1-111111111000000000000
χ11222222-2-2222200-20022-2-22222222200-200-2-2-2-200000000000000000000
χ12222222-2-2222200-20022-2-2-1-1-1-1-1-1-1-100-2001111−i3−i3i3i3−i3−i3i3i3000000000000
χ13222222-2-2222200-20022-2-2-1-1-1-1-1-1-1-100-2001111i3i3−i3−i3i3i3−i3−i3000000000000
χ142222-2-222222222-2-2-2-2-222-1-1-1-1111122-2-2-2-1-111-1-1-1-11111000000000000
χ152222-2-2222222-2-2-222-2-222-1-1-1-11111-2-2-222-1-1111111-1-1-1-1000000000000
χ162222-2-2-2-2222200200-2-2-2-22222-2-2-2-200200-2-22200000000000000000000
χ172222-2-2-2-2222200200-2-2-2-2-1-1-1-111110020011-1-1−i3−i3i3i3i3i3−i3−i3000000000000
χ182222-2-2-2-2222200200-2-2-2-2-1-1-1-111110020011-1-1i3i3−i3−i3−i3−i3i3i3000000000000
χ1922-2-22-20022-2-2000002-20022-2-222-2-2000000000000000002−22−22−22−20000
χ2022-2-22-20022-2-2000002-20022-2-222-2-200000000000000000−22−22−22−220000
χ2122-2-2-220022-2-200000-220022-2-2-2-222000000000000000002−2−222−2−220000
χ2222-2-2-220022-2-200000-220022-2-2-2-22200000000000000000−222−2−222−20000
χ232-22-2002-22-22-22-2000002-22-22-200002-20002-2002-22-20000000000000000
χ242-22-2002-22-22-22-2000002-2-11-113−33−32-2000-113−3-11-113−33−3000000000000
χ252-22-2002-22-22-22-2000002-2-11-11−33−332-2000-11−33-11-11−33−33000000000000
χ262-22-2002-22-22-2-22000002-22-22-20000-220002-200-22-220000000000000000
χ272-22-2002-22-22-2-22000002-2-11-113−33−3-22000-113−31-11-1−33−33000000000000
χ282-22-2002-22-22-2-22000002-2-11-11−33−33-22000-11−331-11-13−33−3000000000000
χ292-22-200-222-22-20002i−2i00-222-22-200000002i−2i-220000002i−2i−2i2i000000000000
χ302-22-200-222-22-20002i−2i00-22-11-113−33−30002i−2i1-1−33−i3i3i3−i3−iii−i000000000000
χ312-22-200-222-22-20002i−2i00-22-11-11−33−330002i−2i1-13−3i3−i3−i3i3−iii−i000000000000
χ322-22-200-222-22-2000−2i2i00-222-22-20000000−2i2i-22000000−2i2i2i−2i000000000000
χ332-22-200-222-22-2000−2i2i00-22-11-113−33−3000−2i2i1-1−33i3−i3−i3i3i−i−ii000000000000
χ342-22-200-222-22-2000−2i2i00-22-11-11−33−33000−2i2i1-13−3−i3i3i3−i3i−i−ii000000000000
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
χ3733333333-1-1-1-1-3-33-3-3-1-1-1-10000000011-1110000000000001111-1-1-1-1-1-111
χ3833333333-1-1-1-1-3-33-3-3-1-1-1-10000000011-111000000000000-1-1-1-1111111-1-1
χ393333-3-333-1-1-1-133-3-3-311-1-100000000-1-111100000000000011-1-1-1-1111-1-11
χ403333-3-333-1-1-1-133-3-3-311-1-100000000-1-1111000000000000-1-11111-1-1-111-1
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
χ4344-4-44-40044-4-4000004-400-2-222-2-22200000000000000000000000000000
χ4444-4-4-440044-4-400000-4400-2-22222-2-200000000000000000000000000000
χ454-4-4400004-4-440000000004-4-44000000000000000000000000000000000
χ464-4-4400004-4-44000000000-222-223−23−232300000000000000000000000000000
χ474-4-4400004-4-44000000000-222-2−232323−2300000000000000000000000000000
χ48666666-6-6-2-2-2-200-600-2-2220000000000200000000000000000000000000
χ496666-6-6-6-6-2-2-2-20060022220000000000-200000000000000000000000000
χ5066-6-66-600-2-22200000-220000000000000000000000000002−22−2−22−220000
χ5166-6-66-600-2-22200000-22000000000000000000000000000−22−222−22−20000
χ5266-6-6-6600-2-222000002-20000000000000000000000000002−2−22−222−20000
χ5366-6-6-6600-2-222000002-2000000000000000000000000000−222−22−2−220000
χ546-66-6006-6-22-226-600000-2200000000-22000000000000000000000000000
χ556-66-6006-6-22-22-6600000-22000000002-2000000000000000000000000000
χ566-66-600-66-22-220006i−6i002-200000000000−2i2i000000000000000000000000
χ576-66-600-66-22-22000−6i6i002-2000000000002i−2i000000000000000000000000
χ5812-12-12120000-444-40000000000000000000000000000000000000000000000

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