Finite Group Databasebeta

← Group #11715634

Character table — Group #11715634

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size11112266666612121224242424242424242424323232323232323248484848
order12224422444444444888888883666121212124488
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
χ72-2-222-22-20-20200000−i2i2−i2i2−i2i2−i2i2-111-111-1-10000
χ82-2-222-22-20-20200000i2−i2i2−i2i2−i2i2−i2-111-111-1-10000
χ92-2-22-22-220-20200000−i2i2i2−i2−i2i2i2−i2-111-1-1-1110000
χ102-2-22-22-220-20200000i2−i2−i2i2i2−i2−i2i2-111-1-1-1110000
χ1133333333-13-13-1-1-1-1-11111111100000000-1-1-1-1
χ1233333333-13-13-1-1-1-1-1-1-1-1-1-1-1-1-1000000001111
χ13333333-1-13-13-13-1-1-1-11111-1-1-1-10000000011-1-1
χ14333333-1-13-13-13-1-1-1-1-1-1-1-1111100000000-1-111
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
χ173333-3-3113-13-1-31-1-1111-1-1-1-111000000001-1-11
χ183333-3-3113-13-1-31-1-11-1-11111-1-100000000-111-1
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
χ213333-3-3-3-3-13-1311-1-1111-1-111-1-100000000-11-11
χ223333-3-3-3-3-13-1311-1-11-1-111-1-111000000001-11-1
χ2344-4-4000040-40000000000000011-1-13−33−30000
χ2444-4-4000040-40000000000000011-1-1−33−330000
χ2544-4-4000040-400000000000000-2-22200000000
χ264-4-444-44-40-40400000000000001-1-11-1-1110000
χ274-4-44-44-440-40400000000000001-1-1111-1-10000
χ28666666-2-2-2-2-2-2-2-2-22200000000000000000000
χ296666-6-622-2-2-2-222-22-200000000000000000000
χ306-6-666-6-22020-200000−i2i2−i2i2i2−i2i2−i2000000000000
χ316-6-666-6-22020-200000i2−i2i2−i2−i2i2−i2i2000000000000
χ326-6-66-662-2020-200000−i2i2i2−i2i2−i2−i2i2000000000000
χ336-6-66-662-2020-200000i2−i2−i2i2−i2i2i2−i2000000000000
χ348-88-80000000000000000000002-22-200000000
χ358-88-8000000000000000000000-11-113−3−330000
χ368-88-8000000000000000000000-11-11−333−30000
χ371212-12-120000-40400000000000000000000000000

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