Finite Group Databasebeta

← Group #11921672

Character table — Group #11921672

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11112266888888881212121212242422224412121616161616161616242424242448483333661818242424242424242436363636367272
order12224444366612121212488884436661212121236661212121212242424241212222244446666121212124888844
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1
χ31111-1-1111111-1-1-1-1-111-1-11-11111-1-1111111-1-1-1-1-111-1-11-11111-1-1111111-1-1-1-1-111-1-11-1
χ41111-1-1111111-1-1-1-1-1-1-111-111111-1-1111111-1-1-1-1-1-1-111-111111-1-1111111-1-1-1-1-1-1-111-11
χ522222222-1-1-1-1-1-1-1-1200000022222222-1-1-1-1-1-1-1-1200000022222222-1-1-1-1-1-1-1-12000000
χ62222-2-222-1-1-1-11111-20000002222-2-222-1-1-1-11111-20000002222-2-222-1-1-1-11111-2000000
χ722-2-2002-222-2-20000000000022-2-2002-222-2-20000000000022-2-2002-222-2-200000000000
χ822-2-2002-2-1-11133−3−3000000022-2-2002-2-1-11133−3−3000000022-2-2002-2-1-11133−3−30000000
χ922-2-2002-2-1-111−3−333000000022-2-2002-2-1-111−3−333000000022-2-2002-2-1-111−3−3330000000
χ102-2-222-200-111-11-11-10−i2i2−i2i2002-2-222-200-111-11-11-10−i2i2−i2i2002-2-222-200-111-11-11-10−i2i2−i2i200
χ112-2-222-200-111-11-11-10i2−i2i2−i2002-2-222-200-111-11-11-10i2−i2i2−i2002-2-222-200-111-11-11-10i2−i2i2−i200
χ122-2-22-2200-111-1-11-110−i2i2i2−i2002-2-22-2200-111-1-11-110−i2i2i2−i2002-2-22-2200-111-1-11-110−i2i2i2−i200
χ132-2-22-2200-111-1-11-110i2−i2−i2i2002-2-22-2200-111-1-11-110i2−i2−i2i2002-2-22-2200-111-1-11-110i2−i2−i2i200
χ14333333-1-100000000-11111-1-1333333-1-100000000-11111-1-1333333-1-100000000-11111-1-1
χ15333333-1-100000000-1-1-1-1-111333333-1-100000000-1-1-1-1-111333333-1-100000000-1-1-1-1-111
χ163333-3-3-1-100000000111-1-1-113333-3-3-1-100000000111-1-1-113333-3-3-1-100000000111-1-1-11
χ173333-3-3-1-1000000001-1-1111-13333-3-3-1-1000000001-1-1111-13333-3-3-1-1000000001-1-1111-1
χ184-44-400001-11-13−3−3300000004-44-400001-11-13−3−3300000004-44-400001-11-13−3−330000000
χ194-44-400001-11-1−333−300000004-44-400001-11-1−333−300000004-44-400001-11-1−333−30000000
χ204-44-40000-22-22000000000004-44-40000-22-22000000000004-44-40000-22-2200000000000
χ214-4-444-4001-1-11-11-1100000004-4-444-4001-1-11-11-1100000004-4-444-4001-1-11-11-110000000
χ224-4-44-44001-1-111-11-100000004-4-44-44001-1-111-11-100000004-4-44-44001-1-111-11-10000000
χ2366-6-600-2200000000000000066-6-600-2200000000000000066-6-600-22000000000000000
χ241111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2511111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ261111-1-1111111-1-1-1-1-111-1-11-11111-1-1111111-1-1-1-1-111-1-11-1-1-1-1-111-1-1-1-1-1-111111-1-111-11
χ271111-1-1111111-1-1-1-1-1-1-111-111111-1-1111111-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1-1-11111111-1-11-1
χ2822222222-1-1-1-1-1-1-1-1200000022222222-1-1-1-1-1-1-1-12000000-2-2-2-2-2-2-2-211111111-2000000
χ292222-2-222-1-1-1-11111-20000002222-2-222-1-1-1-11111-2000000-2-2-2-222-2-21111-1-1-1-12000000
χ3022-2-2002-222-2-20000000000022-2-2002-222-2-200000000000-2-22200-22-2-22200000000000
χ3122-2-2002-2-1-11133−3−3000000022-2-2002-2-1-11133−3−30000000-2-22200-2211-1-1−3−3330000000
χ3222-2-2002-2-1-111−3−333000000022-2-2002-2-1-111−3−3330000000-2-22200-2211-1-133−3−30000000
χ332-2-222-200-111-11-11-10−i2i2−i2i2002-2-222-200-111-11-11-10−i2i2−i2i200-222-2-22001-1-11-11-110i2−i2i2−i200
χ342-2-222-200-111-11-11-10i2−i2i2−i2002-2-222-200-111-11-11-10i2−i2i2−i200-222-2-22001-1-11-11-110−i2i2−i2i200
χ352-2-22-2200-111-1-11-110−i2i2i2−i2002-2-22-2200-111-1-11-110−i2i2i2−i200-222-22-2001-1-111-11-10i2−i2−i2i200
χ362-2-22-2200-111-1-11-110i2−i2−i2i2002-2-22-2200-111-1-11-110i2−i2−i2i200-222-22-2001-1-111-11-10−i2i2i2−i200
χ37333333-1-100000000-11111-1-1333333-1-100000000-11111-1-1-3-3-3-3-3-311000000001-1-1-1-111
χ38333333-1-100000000-1-1-1-1-111333333-1-100000000-1-1-1-1-111-3-3-3-3-3-3110000000011111-1-1
χ393333-3-3-1-100000000111-1-1-113333-3-3-1-100000000111-1-1-11-3-3-3-3331100000000-1-1-1111-1
χ403333-3-3-1-1000000001-1-1111-13333-3-3-1-1000000001-1-1111-1-3-3-3-3331100000000-111-1-1-11
χ414-44-400001-11-13−3−3300000004-44-400001-11-13−3−330000000-44-440000-11-11−333−30000000
χ424-44-400001-11-1−333−300000004-44-400001-11-1−333−30000000-44-440000-11-113−3−330000000
χ434-44-40000-22-22000000000004-44-40000-22-2200000000000-44-4400002-22-200000000000
χ444-4-444-4001-1-11-11-1100000004-4-444-4001-1-11-11-110000000-444-4-4400-111-11-11-10000000
χ454-4-44-44001-1-111-11-100000004-4-44-44001-1-111-11-10000000-444-44-400-111-1-11-110000000
χ4666-6-600-2200000000000000066-6-600-22000000000000000-6-666002-2000000000000000
χ4722222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000
χ4822222222222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111100000000000000000000000
χ492222-2-2222222-2-2-2-2-222-2-22-2-1-1-1-111-1-1-1-1-1-111111-1-111-1100000000000000000000000
χ502222-2-2222222-2-2-2-2-2-2-222-22-1-1-1-111-1-1-1-1-1-11111111-1-11-100000000000000000000000
χ5144444444-2-2-2-2-2-2-2-24000000-2-2-2-2-2-2-2-211111111-200000000000000000000000000000
χ524444-4-444-2-2-2-22222-4000000-2-2-2-222-2-21111-1-1-1-1200000000000000000000000000000
χ5344-4-4004-444-4-400000000000-2-22200-22-2-2220000000000000000000000000000000000
χ5444-4-4004-4-2-2222323−23−230000000-2-22200-2211-1-1−3−333000000000000000000000000000000
χ5544-4-4004-4-2-222−23−2323230000000-2-22200-2211-1-133−3−3000000000000000000000000000000
χ564-4-444-400-222-22-22-20−2i22i2−2i22i200-222-2-22001-1-11-11-110i2−i2i2−i20000000000000000000000000
χ574-4-444-400-222-22-22-202i2−2i22i2−2i200-222-2-22001-1-11-11-110−i2i2−i2i20000000000000000000000000
χ584-4-44-4400-222-2-22-220−2i22i22i2−2i200-222-22-2001-1-111-11-10i2−i2−i2i20000000000000000000000000
χ594-4-44-4400-222-2-22-2202i2−2i2−2i22i200-222-22-2001-1-111-11-10−i2i2i2−i20000000000000000000000000
χ60666666-2-200000000-22222-2-2-3-3-3-3-3-311000000001-1-1-1-11100000000000000000000000
χ61666666-2-200000000-2-2-2-2-222-3-3-3-3-3-3110000000011111-1-100000000000000000000000
χ626666-6-6-2-200000000222-2-2-22-3-3-3-3331100000000-1-1-1111-100000000000000000000000
χ636666-6-6-2-2000000002-2-2222-2-3-3-3-3331100000000-111-1-1-1100000000000000000000000
χ648-88-800002-22-223−23−23230000000-44-440000-11-11−333−3000000000000000000000000000000
χ658-88-800002-22-2−232323−230000000-44-440000-11-113−3−33000000000000000000000000000000
χ668-88-80000-44-4400000000000-44-4400002-22-20000000000000000000000000000000000
χ678-8-888-8002-2-22-22-220000000-444-4-4400-111-11-11-1000000000000000000000000000000
χ688-8-88-88002-2-222-22-20000000-444-44-400-111-1-11-11000000000000000000000000000000
χ691212-12-1200-44000000000000000-6-666002-200000000000000000000000000000000000000

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