Finite Group Databasebeta

← Group #11792027

Character table — Group #11792027

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11111111444444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order1222222222336666666666666666666666444444444444121212121212121212121212121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ511111111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ611111111-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ711111111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ811111111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ92222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ1022222222-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002200000000
χ112222-2-2-2-22-222222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000022−2−222−2−2
χ122222-2-2-2-22-222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000−2−222−2−222
χ132222-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000022−2−2−2−222
χ142222-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000−2−22222−2−2
χ1522-2-22-2-22002222-2-2-2-222-2-222-2-20000000022-2-20000000000000000000000000000002i−2i2i−2i
χ1622-2-22-2-22002222-2-2-2-222-2-222-2-20000000022-2-2000000000000000000000000000000−2i2i−2i2i
χ1722-2-22-2-22002222-2-2-2-222-2-222-2-200000000-2-222000000000000000000000000002-22-20000
χ1822-2-22-2-22002222-2-2-2-222-2-222-2-200000000-2-22200000000000000000000000000-22-220000
χ1922-2-2-222-2002222-2-2-2-2-2-222-2-2220000000000000000000000000000000000002i−2i2−2−22−i2i2i2−i2
χ2022-2-2-222-2002222-2-2-2-2-2-222-2-2220000000000000000000000000000000000002i−2i−222−2i2−i2−i2i2
χ2122-2-2-222-2002222-2-2-2-2-2-222-2-222000000000000000000000000000000000000−2i2i2−2−22i2−i2−i2i2
χ2222-2-2-222-2002222-2-2-2-2-2-222-2-222000000000000000000000000000000000000−2i2i−222−2−i2i2i2−i2
χ232-22-2-22-220022-2-222-2-2-2-22-2222-2000000002-22-200002-200000022-2-2000000000000000000
χ242-22-2-22-220022-2-222-2-2-2-22-2222-2000000002-22-20000-22000000-2-222000000000000000000
χ252-22-2-22-220022-2-222-2-2-2-22-2222-200000000-22-222-200000022-2-20000000000000000000000
χ262-22-2-22-220022-2-222-2-2-2-22-2222-200000000-22-22-22000000-2-2220000000000000000000000
χ272-2-22-2-2220022-2-2-2-222-2-2-2222-22000000002-2-22002-200000000000022-2-200000000000000
χ282-2-22-2-2220022-2-2-2-222-2-2-2222-22000000002-2-2200-22000000000000-2-22200000000000000
χ292-2-22-2-2220022-2-2-2-222-2-2-2222-2200000000-222-20000002-200000000000022-2-20000000000
χ302-2-22-2-2220022-2-2-2-222-2-2-2222-2200000000-222-2000000-22000000000000-2-2220000000000
χ3144444444441-21-21-21-21-21-21-2-2111-2-211-2-200000022002200000000-1-1-1-1-1-1-1-10000000000
χ3244444444441-21-21-21-21-21-21-2-2111-2-211-2-2000000-2-200-2-200000000111111110000000000
χ334444444444-21-21-21-21-21-21-211-2-2-211-2-211000022002200-1-1-1-1-1-1-1-1000000000000000000
χ344444444444-21-21-21-21-21-21-211-2-2-211-2-2110000-2-200-2-20011111111000000000000000000
χ3544444444-4-41-21-21-21-21-21-21-2-21-1-122-1-1220000002200-2-200000000-1-1-1-111110000000000
χ3644444444-4-41-21-21-21-21-21-21-2-21-1-122-1-122000000-2-20022000000001111-1-1-1-10000000000
χ3744444444-4-4-21-21-21-21-21-21-211-222-1-122-1-100002200-2-200-1-1-1-11111000000000000000000
χ3844444444-4-4-21-21-21-21-21-21-211-222-1-122-1-10000-2-20022001111-1-1-1-1000000000000000000
χ394444-4-4-4-44-41-21-21-21-2-12-12-122-111-2-2-1-122000000000000000000003−33−33−33−30000000000
χ404444-4-4-4-44-41-21-21-21-2-12-12-122-111-2-2-1-12200000000000000000000−33−33−33−330000000000
χ414444-4-4-4-44-4-21-21-21-212-12-12-1-12-2-21122-1-10000000000003−33−33−33−3000000000000000000
χ424444-4-4-4-44-4-21-21-21-212-12-12-1-12-2-21122-1-1000000000000−33−33−33−33000000000000000000
χ434444-4-4-4-4-441-21-21-21-2-12-12-122-1-1-12211-2-2000000000000000000003−33−3−33−330000000000
χ444444-4-4-4-4-441-21-21-21-2-12-12-122-1-1-12211-2-200000000000000000000−33−333−33−30000000000
χ454444-4-4-4-4-44-21-21-21-212-12-12-1-1222-1-1-2-2110000000000003−33−3−33−33000000000000000000
χ464444-4-4-4-4-44-21-21-21-212-12-12-1-1222-1-1-2-211000000000000−33−333−33−3000000000000000000
χ474-44-44-44-40044-4-444-4-444-44-4-4-440000000000000000000000000000000000000000000000
χ484-44-44-44-400-212-1-212-1-21212-1-1-2003-3003-30000000000003−3−333−3−33000000000000000000
χ494-44-44-44-400-212-1-212-1-21212-1-1-2003-3003-3000000000000−333−3−333−3000000000000000000
χ504-44-44-44-400-212-1-212-1-21212-1-1-200-3300-330000000000003−3−33−333−3000000000000000000
χ514-44-44-44-400-212-1-212-1-21212-1-1-200-3300-33000000000000−333−33−3−33000000000000000000
χ524-44-4-44-4400-212-1-212-12-1-2-1-2112003-300-3300002-2002-200-1-111-1-111000000000000000000
χ534-44-4-44-4400-212-1-212-12-1-2-1-2112003-300-330000-2200-220011-1-111-1-1000000000000000000
χ544-44-4-44-4400-212-1-212-12-1-2-1-211200-33003-300002-200-2200-1-11111-1-1000000000000000000
χ554-44-4-44-4400-212-1-212-12-1-2-1-211200-33003-30000-22002-20011-1-1-1-111000000000000000000
χ564-4-4444-4-4001-2-12-121-21-212-12-2-13-3003-300000000000000000000003−3−333−3−330000000000
χ574-4-4444-4-4001-2-12-121-21-212-12-2-13-3003-30000000000000000000000−333−3−333−30000000000
χ584-4-4444-4-4001-2-12-121-21-212-12-2-1-3300-3300000000000000000000003−3−33−333−30000000000
χ594-4-4444-4-4001-2-12-121-21-212-12-2-1-3300-330000000000000000000000−333−33−3−330000000000
χ604-4-4444-4-40044-4-4-4-444444-4-4-44-40000000000000000000000000000000000000000000000
χ614-4-44-4-444001-2-12-121-2-12-1-21-2213-300-33000000002-2002-200000000-1-111-1-1110000000000
χ624-4-44-4-444001-2-12-121-2-12-1-21-2213-300-3300000000-2200-220000000011-1-111-1-10000000000
χ634-4-44-4-444001-2-12-121-2-12-1-21-221-33003-3000000002-200-2200000000-1-11111-1-10000000000
χ644-4-44-4-444001-2-12-121-2-12-1-21-221-33003-300000000-22002-20000000011-1-1-1-1110000000000
χ6588-8-88-8-88002-42-4-24-242-4-242-44-20000000000000000000000000000000000000000000000
χ6688-8-88-8-8800-42-424-24-2-424-2-42-240000000000000000000000000000000000000000000000
χ6788-8-8-888-8002-42-4-24-24-242-4-24-420000000000000000000000000000000000000000000000
χ6888-8-8-888-800-42-424-24-24-2-424-22-40000000000000000000000000000000000000000000000
χ698-88-88-88-8002-4-242-4-242-4-2-4-24420000000000000000000000000000000000000000000000
χ708-88-8-88-88002-4-242-4-24-24242-4-4-20000000000000000000000000000000000000000000000
χ718-8-8888-8-800-424-24-2-42-42-4-24-2240000000000000000000000000000000000000000000000
χ728-8-88-8-88800-424-24-2-424-242-42-2-40000000000000000000000000000000000000000000000

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