Finite Group Databasebeta

← Group #11784881

Character table — Group #11784881

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444444444448888888812121212121212121212121218181818242424242424242424242424242424242424363672727272
order122222223366666666666666666666662222444444444444446666121212121212121212121212228888
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
χ5111111-1-1111111111-1-1-1-1111-1-1-1-111-1-111-1-111-1-111111111-1-111-1-111-1-11111-1-1-1-1-1-111-1-1
χ6111111-1-1111111111-1-1-1-1111-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111
χ7111111-1-1111111111-1-1-1-1111-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111
χ8111111-1-1111111111-1-1-1-1111-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-111-1-1
χ91-1-111-11-111111-1-1-1-111-1-1-1-1111-1-11-11-11-11-11-11-1ii−i−i11-1-1i−i1-11-11-11-1ii−i−iii−i−i1-1i−ii−i
χ101-1-111-11-111111-1-1-1-111-1-1-1-1111-1-11-11-11-11-11-11-1−i−iii11-1-1−ii1-11-11-11-1−i−iii−i−iii1-1−ii−ii
χ111-1-111-11-111111-1-1-1-111-1-1-1-1111-1-11-11-1-11-11-11-11ii−i−i11-1-1i−i-11-11-11-11ii−i−iii−i−i1-1−ii−ii
χ121-1-111-11-111111-1-1-1-111-1-1-1-1111-1-11-11-1-11-11-11-11−i−iii11-1-1−ii-11-11-11-11−i−iii−i−iii1-1i−ii−i
χ131-1-111-1-1111111-1-1-1-1-1-111-1-11-1-1111-1-111-1-111-1-11ii−i−i11-1-1−ii1-1-111-1-11ii−i−i−i−iii-11i−i−ii
χ141-1-111-1-1111111-1-1-1-1-1-111-1-11-1-1111-1-111-1-111-1-11−i−iii11-1-1i−i1-1-111-1-11−i−iiiii−i−i-11−iii−i
χ151-1-111-1-1111111-1-1-1-1-1-111-1-11-1-1111-1-11-111-1-111-1ii−i−i11-1-1−ii-111-1-111-1ii−i−i−i−iii-11−iii−i
χ161-1-111-1-1111111-1-1-1-1-1-111-1-11-1-1111-1-11-111-1-111-1−i−iii11-1-1i−i-111-1-111-1−i−iiiii−i−i-11i−i−ii
χ1722222222222222222222222222222222000000000000-2-2-2-2000000000000000000-2-20000
χ18222222-2-2222222222-2-2-2-2222-2-2-2-222-2-2000000000000-2-2-2-2000000000000000000220000
χ192222-2-200222-2-22-22200002-220000-2-200002200-2-200002-22-200002200-2-200000000000000
χ202222-2-200222-2-22-22200002-220000-2-20000-2-2002200002-22-20000-2-2002200000000000000
χ212222-2-200222-2-22-22200002-220000-2-2002200-2-2000000-22-22002200-2-20000000000000000
χ222222-2-200222-2-22-22200002-220000-2-200-2-20022000000-22-2200-2-200220000000000000000
χ232-2-222-22-222222-2-2-2-222-2-2-2-2222-2-22-22-2000000000000-2-222000000000000000000-220000
χ242-2-222-2-2222222-2-2-2-2-2-222-2-22-2-2222-2-22000000000000-2-2220000000000000000002-20000
χ252-2-22-2200222-2-2-22-2-20000-2220000-2200002-200-2200002-2-2200002-200-2200000000000000
χ262-2-22-2200222-2-2-22-2-20000-2220000-220000-22002-200002-2-220000-22002-200000000000000
χ272-2-22-2200222-2-2-22-2-20000-2220000-22002-200-22000000-222-2002-200-220000000000000000
χ282-2-22-2200222-2-2-22-2-20000-2220000-2200-22002-2000000-222-200-22002-20000000000000000
χ29444444441-211111-2-2-2-2-2-211-21111-2-2-2-200000000222200002200000000-1-1-1-1-1-1-1-1000000
χ30444444441-211111-2-2-2-2-2-211-21111-2-2-2-200000000-2-2-2-20000-2-20000000011111111000000
χ3144444444-21-2-2-2-2-2111111-2-21-2-2-2-21111222222220000000000-1-1-1-1-1-1-1-100000000000000
χ3244444444-21-2-2-2-2-2111111-2-21-2-2-2-21111-2-2-2-2-2-2-2-200000000001111111100000000000000
χ33444444-4-41-211111-2-2222211-2-1-1-1-1-2-2220000000022220000-2-200000000-1-1-1-11111000000
χ34444444-4-41-211111-2-2222211-2-1-1-1-1-2-22200000000-2-2-2-2000022000000001111-1-1-1-1000000
χ35444444-4-4-21-2-2-2-2-211-1-1-1-1-2-21222211-1-122-2-222-2-20000000000-1-111-1-11100000000000000
χ36444444-4-4-21-2-2-2-2-211-1-1-1-1-2-21222211-1-1-2-222-2-222000000000011-1-111-1-100000000000000
χ374444-4-400-21-222-22113333-2210000-1-1-3-322-2-2-2-2220000000000-1-11111-1-100000000000000
χ384444-4-400-21-222-22113333-2210000-1-1-3-3-2-22222-2-2000000000011-1-1-1-11100000000000000
χ394444-4-400-21-222-2211-3-3-3-3-2210000-1-1332222-2-2-2-20000000000-1-1-1-1111100000000000000
χ404444-4-400-21-222-2211-3-3-3-3-2210000-1-133-2-2-2-2222200000000001111-1-1-1-100000000000000
χ4144-4-400001-2-13-31-32-2−2i32i3−2i32i3-132−i3i3−i3i30000000000002i−2i2i−2i00000000000000i−ii−i3−33−3000000
χ4244-4-400001-2-13-31-32-2−2i32i3−2i32i3-132−i3i3−i3i3000000000000−2i2i−2i2i00000000000000−ii−ii−33−33000000
χ4344-4-400001-2-13-31-32-22i3−2i32i3−2i3-132i3−i3i3−i30000000000002i−2i2i−2i00000000000000i−ii−i−33−33000000
χ4444-4-400001-2-13-31-32-22i3−2i32i3−2i3-132i3−i3i3−i3000000000000−2i2i−2i2i00000000000000−ii−ii3−33−3000000
χ4544-4-4000044-40040-440000-40-400000000000000002i−2i2i−2i00000000000000−2i2i−2i2i0000000000
χ4644-4-4000044-40040-440000-40-40000000000000000−2i2i−2i2i000000000000002i−2i2i−2i0000000000
χ474-44-400001-2-13-3-13-22−2i32i32i3−2i31-32−i3i3i3−i30000000000002-2-22000000000000001-1-11−i3i3i3−i3000000
χ484-44-400001-2-13-3-13-22−2i32i32i3−2i31-32−i3i3i3−i3000000000000-222-200000000000000-111-1i3−i3−i3i3000000
χ494-44-400001-2-13-3-13-222i3−2i3−2i32i31-32i3−i3−i3i30000000000002-2-22000000000000001-1-11i3−i3−i3i3000000
χ504-44-400001-2-13-3-13-222i3−2i3−2i32i31-32i3−i3−i3i3000000000000-222-200000000000000-111-1−i3i3i3−i3000000
χ514-44-4000044-400-404-4000040-400000000000000002-2-2200000000000000-222-20000000000
χ524-44-4000044-400-404-4000040-40000000000000000-222-2000000000000002-2-220000000000
χ534-4-444-44-41-2111-1-122-2-222-1-1-211-1-1-22-22000000002i2i−2i−2i00002i−2i00000000−i−iii−i−iii000000
χ544-4-444-44-41-2111-1-122-2-222-1-1-211-1-1-22-2200000000−2i−2i2i2i0000−2i2i00000000ii−i−iii−i−i000000
χ554-4-444-44-4-21-2-2-222-1-111-1-1221-2-2221-11-12-22-22-22-20000000000-11-11-11-1100000000000000
χ564-4-444-44-4-21-2-2-222-1-111-1-1221-2-2221-11-1-22-22-22-2200000000001-11-11-11-100000000000000
χ574-4-444-4-441-2111-1-12222-2-2-1-1-2-1-111-222-2000000002i2i−2i−2i0000−2i2i00000000−i−iiiii−i−i000000
χ584-4-444-4-441-2111-1-12222-2-2-1-1-2-1-111-222-200000000−2i−2i2i2i00002i−2i00000000ii−i−i−i−iii000000
χ594-4-444-4-44-21-2-2-222-1-1-1-11122122-2-21-1-112-2-222-2-220000000000-111-1-111-100000000000000
χ604-4-444-4-44-21-2-2-222-1-1-1-11122122-2-21-1-11-222-2-222-200000000001-1-111-1-1100000000000000
χ614-4-44-4400-21-2222-2-1-133-3-32-210000-11-332-2-22-222-20000000000-111-11-1-1100000000000000
χ624-4-44-4400-21-2222-2-1-133-3-32-210000-11-33-222-22-2-2200000000001-1-11-111-100000000000000
χ634-4-44-4400-21-2222-2-1-1-3-3332-210000-113-32-22-2-22-220000000000-11-111-11-100000000000000
χ644-4-44-4400-21-2222-2-1-1-3-3332-210000-113-3-22-222-22-200000000001-11-1-11-1100000000000000
χ658888-8-8002-42-2-22-2-4-400002-2-4000044000000000000000000000000000000000000000000
χ6688-8-800002-4-2-66264-40000-2-64000000000000000000000000000000000000000000000000
χ6788-8-80000-42400-40-22−2i32i3−2i32i340-22i3−2i32i3−2i300000000000000000000000000000000000000000000
χ6888-8-80000-42400-40-222i3−2i32i3−2i340-2−2i32i3−2i32i300000000000000000000000000000000000000000000
χ698-88-800002-4-2-66-2-6-440000264000000000000000000000000000000000000000000000000
χ708-88-80000-42400402-2−2i32i32i3−2i3-40-22i3−2i3−2i32i300000000000000000000000000000000000000000000
χ718-88-80000-42400402-22i3−2i3−2i32i3-40-2−2i32i32i3−2i300000000000000000000000000000000000000000000
χ728-8-88-88002-42-2-2-22440000-22-400004-4000000000000000000000000000000000000000000

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