Finite Group Databasebeta

← Group #11787087

Character table — Group #11787087

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444444444448888888812121212121212121212121218181818242424242424242424242424242424242424363672727272
order1222222233666666666666666666666644444444444422224412121212121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1
χ6111111-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ91-11-11-11-1111111-1-111-1-1-1-1-1-11-1111-1-1-1i−ii−ii−ii−iii−i−i-1-111i−iii−i−iii−i−iii−i−iii−i−i1-11-11-1
χ101-11-11-11-1111111-1-111-1-1-1-1-1-11-1111-1-1-1i−ii−ii−ii−i−i−iii-1-111−iiii−i−iii−i−i−i−iii−i−iii1-1-11-11
χ111-11-11-11-1111111-1-111-1-1-1-1-1-11-1111-1-1-1−ii−ii−ii−iiii−i−i-1-111i−i−i−iii−i−iiiii−i−iii−i−i1-1-11-11
χ121-11-11-11-1111111-1-111-1-1-1-1-1-11-1111-1-1-1−ii−ii−ii−ii−i−iii-1-111−ii−i−iii−i−iii−i−iii−i−iii1-11-11-1
χ131-11-11-1-11111111-1-1-1-111-1-1-1-11-1-1-1-1111i−i−iii−i−iiii−i−i-1-111−iiii−i−i−i−iiiii−i−i−i−iii-111-1-11
χ141-11-11-1-11111111-1-1-1-111-1-1-1-11-1-1-1-1111i−i−iii−i−ii−i−iii-1-111i−iii−i−i−i−iii−i−iiiii−i−i-11-111-1
χ151-11-11-1-11111111-1-1-1-111-1-1-1-11-1-1-1-1111−iii−i−iii−iii−i−i-1-111−ii−i−iiiii−i−iii−i−i−i−iii-11-111-1
χ161-11-11-1-11111111-1-1-1-111-1-1-1-11-1-1-1-1111−iii−i−iii−i−i−iii-1-111i−i−i−iiiii−i−i−i−iiiii−i−i-111-1-11
χ1722222222222222222222222222222222000000000000-2-2-2-2000000000000000000-2-20000
χ18222222-2-222222222-2-2-2-2222222-2-2-2-2-2-2000000000000-2-2-2-2000000000000000000220000
χ192222-2-2002222-2-22-20000222-2-2-2000000002200-2-200002-22-20000002-22-200000000000000
χ202222-2-2002222-2-22-20000222-2-2-200000000-2-2002200002-22-2000000-22-2200000000000000
χ212222-2-2002222-2-22-20000222-2-2-20000002200-2-2000000-22-22002-22-2000000000000000000
χ222222-2-2002222-2-22-20000222-2-2-2000000-2-20022000000-22-2200-22-22000000000000000000
χ232-22-22-22-2222222-2-222-2-2-2-2-2-22-2222-2-2-200000000000022-2-2000000000000000000-220000
χ242-22-22-2-22222222-2-2-2-222-2-2-2-22-2-2-2-222200000000000022-2-20000000000000000002-20000
χ252-22-2-22002222-2-2-220000-2-2-22-22000000002i−2i00−2i2i0000-222-20000002i−2i−2i2i00000000000000
χ262-22-2-22002222-2-2-220000-2-2-22-2200000000−2i2i002i−2i0000-222-2000000−2i2i2i−2i00000000000000
χ272-22-2-22002222-2-2-220000-2-2-22-220000002i−2i00−2i2i0000002-2-22002i−2i−2i2i000000000000000000
χ282-22-2-22002222-2-2-220000-2-2-22-22000000−2i2i002i−2i0000002-2-2200−2i2i2i−2i000000000000000000
χ29444444441-21-21111-2-2-2-21-2-21-2-211-211-200000000222200002200000000-1-1-1-1-1-1-1-1000000
χ30444444441-21-21111-2-2-2-21-2-21-2-211-211-200000000-2-2-2-20000-2-20000000011111111000000
χ3144444444-21-21-2-2-2-21111-211-211-2-21-2-21222222220000000000-1-1-1-1-1-1-1-100000000000000
χ3244444444-21-21-2-2-2-21111-211-211-2-21-2-21-2-2-2-2-2-2-2-200000000001111111100000000000000
χ33444444-4-41-21-2111122221-2-21-2-2-1-12-1-120000000022220000-2-200000000-1-1-1-11111000000
χ34444444-4-41-21-2111122221-2-21-2-2-1-12-1-1200000000-2-2-2-2000022000000001111-1-1-1-1000000
χ35444444-4-4-21-21-2-2-2-2-1-1-1-1-211-21122-122-122-2-222-2-20000000000-1-1-1-1111100000000000000
χ36444444-4-4-21-21-2-2-2-2-1-1-1-1-211-21122-122-1-2-222-2-22200000000001111-1-1-1-100000000000000
χ374444-4-400-21-2122-223333-2112-1-100-300-322-2-2-2-2220000000000-11-111-11-100000000000000
χ384444-4-400-21-2122-223333-2112-1-100-300-3-2-22222-2-200000000001-11-1-11-1100000000000000
χ394444-4-400-21-2122-22-3-3-3-3-2112-1-10030032222-2-2-2-20000000000-11-11-11-1100000000000000
χ404444-4-400-21-2122-22-3-3-3-3-2112-1-1003003-2-2-2-2222200000000001-11-11-11-100000000000000
χ4144-4-400001-2-123-31-3−2i32i3−2i32i3-12-2300−i3i30−i3i30000000002i−2i2i−2i00000000000000i−ii−i3−33−3000000
χ4244-4-400001-2-123-31-3−2i32i3−2i32i3-12-2300−i3i30−i3i3000000000−2i2i−2i2i00000000000000−ii−ii−33−33000000
χ4344-4-400001-2-123-31-32i3−2i32i3−2i3-12-2300i3−i30i3−i30000000002i−2i2i−2i00000000000000i−ii−i−33−33000000
χ4444-4-400001-2-123-31-32i3−2i32i3−2i3-12-2300i3−i30i3−i3000000000−2i2i−2i2i00000000000000−ii−ii3−33−3000000
χ4544-4-4000044-4-400400000-4-44000000000000000002i−2i2i−2i00000000000000−2i2i−2i2i0000000000
χ4644-4-4000044-4-400400000-4-4400000000000000000−2i2i−2i2i000000000000002i−2i2i−2i0000000000
χ474-44-44-44-41-21-211-1-1-2-222-122-1-2211-2-1-12000000002i2i−2i−2i00002i−2i00000000−i−iii−i−iii000000
χ484-44-44-44-41-21-211-1-1-2-222-122-1-2211-2-1-1200000000−2i−2i2i2i0000−2i2i00000000ii−i−iii−i−i000000
χ494-44-44-44-4-21-21-2-22211-1-12-1-121-1-2-2122-12i−2i2i−2i2i−2i2i−2i0000000000−i−iii−i−iii00000000000000
χ504-44-44-44-4-21-21-2-22211-1-12-1-121-1-2-2122-1−2i2i−2i2i−2i2i−2i2i0000000000ii−i−iii−i−i00000000000000
χ514-44-44-4-441-21-211-1-122-2-2-122-1-22-1-1211-2000000002i2i−2i−2i0000−2i2i00000000−i−iiiii−i−i000000
χ524-44-44-4-441-21-211-1-122-2-2-122-1-22-1-1211-200000000−2i−2i2i2i00002i−2i00000000ii−i−i−i−iii000000
χ534-44-44-4-44-21-21-2-222-1-1112-1-121-122-1-2-212i−2i−2i2i2i−2i−2i2i0000000000−i−iiiii−i−i00000000000000
χ544-44-44-4-44-21-21-2-222-1-1112-1-121-122-1-2-21−2i2i2i−2i−2i2i2i−2i0000000000ii−i−i−i−iii00000000000000
χ554-44-4-4400-21-21222-233-3-32-1-1-2-1100-30032i−2i−2i2i−2i2i2i−2i0000000000−iii−ii−i−ii00000000000000
χ564-44-4-4400-21-21222-233-3-32-1-1-2-1100-3003−2i2i2i−2i2i−2i−2i2i0000000000i−i−ii−iii−i00000000000000
χ574-44-4-4400-21-21222-2-3-3332-1-1-2-1100300-32i−2i2i−2i−2i2i−2i2i0000000000−iii−i−iii−i00000000000000
χ584-44-4-4400-21-21222-2-3-3332-1-1-2-1100300-3−2i2i−2i2i2i−2i2i−2i0000000000i−i−iii−i−ii00000000000000
χ594-4-4400001-2-123-3-13−2i32i32i3−2i31-22-300−i3i30i3−i30000000002-2-22000000000000001-1-11−i3i3i3−i3000000
χ604-4-4400001-2-123-3-13−2i32i32i3−2i31-22-300−i3i30i3−i3000000000-222-200000000000000-111-1i3−i3−i3i3000000
χ614-4-4400001-2-123-3-132i3−2i3−2i32i31-22-300i3−i30−i3i30000000002-2-22000000000000001-1-11i3−i3−i3i3000000
χ624-4-4400001-2-123-3-132i3−2i3−2i32i31-22-300i3−i30−i3i3000000000-222-200000000000000-111-1−i3i3i3−i3000000
χ634-4-44000044-4-400-40000044-4000000000000000002-2-2200000000000000-222-20000000000
χ644-4-44000044-4-400-40000044-400000000000000000-222-2000000000000002-2-220000000000
χ658888-8-8002-42-4-2-22-200002-4-4-2440000000000000000000000000000000000000000000000
χ6688-8-800002-4-24-66260000-24-4-6000000000000000000000000000000000000000000000000
χ6788-8-80000-424-200-40−2i32i3−2i32i34-220002i3−2i302i3−2i300000000000000000000000000000000000000000
χ6888-8-80000-424-200-402i3−2i32i3−2i34-22000−2i32i30−2i32i300000000000000000000000000000000000000000
χ698-88-8-88002-42-4-2-2-220000-24424-40000000000000000000000000000000000000000000000
χ708-8-8800002-4-24-66-2-600002-446000000000000000000000000000000000000000000000000
χ718-8-880000-424-20040−2i32i32i3−2i3-42-20002i3−2i30−2i32i300000000000000000000000000000000000000000
χ728-8-880000-424-200402i3−2i3−2i32i3-42-2000−2i32i302i3−2i300000000000000000000000000000000000000000

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