Finite Group Databasebeta

← Group #13658

Character table — Group #13658

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34
size112222244444444488888888881616161616161616
order122448844888161616161616323232323232323222244488
χ11111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1
χ61111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111
χ71111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-111
χ81111111-1-1-1-111111-1-1-1-1-1-11111-1-11111-1-1
χ911-11-111i−ii−i-111-1-1i−i11-1-1ii−i−i1-11-1i−ii−i
χ1011-11-111i−ii−i-111-1-1i−i11-1-1ii−i−i-11-11−ii−ii
χ1111-11-111i−ii−i-111-1-1i−i-1-111−i−iii1-1-11i−i−ii
χ1211-11-111i−ii−i-111-1-1i−i-1-111−i−iii-111-1−iii−i
χ1311-11-111−ii−ii-111-1-1−ii11-1-1−i−iii1-11-1−ii−ii
χ1411-11-111−ii−ii-111-1-1−ii11-1-1−i−iii-11-11i−ii−i
χ1511-11-111−ii−ii-111-1-1−ii-1-111ii−i−i1-1-11−iii−i
χ1611-11-111−ii−ii-111-1-1−ii-1-111ii−i−i-111-1i−i−ii
χ17222222222222-2-2-2-2-2-20000000000000000
χ182222222-2-2-2-22-2-2-2-2220000000000000000
χ1922222-2-222-2-2-20000002−22−22−22−200000000
χ2022222-2-222-2-2-2000000−22−22−22−2200000000
χ2122222-2-2-2-222-20000002−22−2−22−2200000000
χ2222222-2-2-2-222-2000000−22−222−22−200000000
χ2322-22-2222i−2i2i−2i-2-2-222−2i2i0000000000000000
χ2422-22-222−2i2i−2i2i-2-2-2222i−2i0000000000000000
χ2522-22-2-2-22i−2i−2i2i20000002−2−22i2−i2−i2i200000000
χ2622-22-2-2-22i−2i−2i2i2000000−222−2−i2i2i2−i200000000
χ2722-22-2-2-2−2i2i2i−2i20000002−2−22−i2i2i2−i200000000
χ2822-22-2-2-2−2i2i2i−2i2000000−222−2i2−i2−i2i200000000
χ29444-4-4000000022−2222−22000000000000000000
χ30444-4-40000000−2222−2222000000000000000000
χ3144-4-44000000022−22−2222000000000000000000
χ3244-4-440000000−222222−22000000000000000000
χ338-800042−42000000000000000000000000000
χ348-8000−4242000000000000000000000000000

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