Finite Group Databasebeta

← Group #11715631

Character table — Group #11715631

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size11112266666612121224242424242424242424323232323232323248484848
order12224422444444444888888883666121212122288
χ11111111111111111111111111111111111111
χ211111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ31111-1-1-1-11111-1-111-111-1-111-1-11111-1-1-1-11-11-1
χ41111-1-1-1-11111-1-111-1-1-111-1-1111111-1-1-1-1-11-11
χ52222222222222222200000000-1-1-1-1-1-1-1-10000
χ62222-2-2-2-22222-2-222-200000000-1-1-1-111110000
χ722-2-22-22-2-202000000−i2i2−i2i2−i2i2−i2i2-111-111-1-10000
χ822-2-22-22-2-202000000i2−i2i2−i2i2−i2i2−i2-111-111-1-10000
χ922-2-2-22-22-202000000−i2i2i2−i2−i2i2i2−i2-111-1-1-1110000
χ1022-2-2-22-22-202000000i2−i2−i2i2i2−i2−i2i2-111-1-1-1110000
χ11333333333-13-1-1-1-1-1-11111111100000000-1-1-1-1
χ12333333333-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000001111
χ13333333-1-1-13-133-1-1-1-11111-1-1-1-10000000011-1-1
χ14333333-1-1-13-133-1-1-1-1-1-1-1-1111100000000-1-111
χ15333333-1-1-1-1-1-1-133-1-11111-1-1-1-100000000-1-111
χ16333333-1-1-1-1-1-1-133-1-1-1-1-1-111110000000011-1-1
χ173333-3-311-13-13-31-1-1111-1-1-1-111000000001-1-11
χ183333-3-311-13-13-31-1-11-1-11111-1-100000000-111-1
χ193333-3-311-1-1-1-11-33-1111-1-1-1-11100000000-111-1
χ203333-3-311-1-1-1-11-33-11-1-11111-1-1000000001-1-11
χ213333-3-3-3-33-13-111-1-1111-1-111-1-100000000-11-11
χ223333-3-3-3-33-13-111-1-11-1-111-1-111000000001-11-1
χ2344-4-44-44-4-404000000000000001-1-11-1-1110000
χ2444-4-4-44-44-404000000000000001-1-1111-1-10000
χ254-44-400000-404000000000000011-1-13−33−30000
χ264-44-400000-404000000000000011-1-1−33−330000
χ274-44-400000-4040000000000000-2-22200000000
χ28666666-2-2-2-2-2-2-2-2-22200000000000000000000
χ296666-6-622-2-2-2-222-22-200000000000000000000
χ3066-6-66-6-2220-2000000−i2i2−i2i2i2−i2i2−i2000000000000
χ3166-6-66-6-2220-2000000i2−i2i2−i2−i2i2−i2i2000000000000
χ3266-6-6-662-220-2000000−i2i2i2−i2i2−i2−i2i2000000000000
χ3366-6-6-662-220-2000000i2−i2−i2i2−i2i2i2−i2000000000000
χ348-8-880000000000000000000002-22-200000000
χ358-8-88000000000000000000000-11-113−3−330000
χ368-8-88000000000000000000000-11-11−333−30000
χ3712-1212-120000040-40000000000000000000000000

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