Finite Group Databasebeta

← Group #332446

Character table — Group #332446

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888888888161616161616161616161616161616323232
order12222244444444224444448888888888224444888888888488
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-111-111-11-1-111-1-1-1-11-1-1
χ3111111111111111111-1-111-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-111-1
χ4111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-11-1-11-1-1-1-1-111111-11
χ51111111111111111-1-111111111111111-11-1-1-1-11-1-1-1-11111-1-1-1
χ61111111111111111-1-1111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111
χ71111111111111111-1-1-1-111-1-111111111-1-11111-1-1-111-1-1-1-1-1-11
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-11-1
χ911111111111111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-111-1-1-11-1
χ1011111111111111-1-11111-1-1-1-1-1-1-1-1111111-111-1-111-1-1-1-111-1-11
χ1111111111111111-1-111-1-1-1-1111111-1-1-1-11-1-1-1-1-11-1-111-1-111-111
χ1211111111111111-1-111-1-1-1-111-1-1-1-111111-11-1-111111111-1-1-1-1-1
χ1311111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1111111-1-11-11
χ1411111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-11-1-1-111-1-11111-1
χ1511111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1111-1-1
χ1611111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-11-1-1-1-111-1-1111
χ172222222222-2-2-2-2220022-2-2-2-2000000000-20000200000000000
χ182222222222-2-2-2-22200-2-2-2-22200000000020000-200000000000
χ192222222222-2-2-2-2-2-200222222000000000-20000-200000000000
χ202222222222-2-2-2-2-2-200-2-222-2-200000000020000200000000000
χ21222222-2-2-2-222-2-2002200000000002i2i−2i−2i-20000002i−2i000000000
χ22222222-2-2-2-222-2-200220000000000−2i−2i2i2i-2000000−2i2i000000000
χ23222222-2-2-2-222-2-200-2-200000000002i2i−2i−2i2000000−2i2i000000000
χ24222222-2-2-2-222-2-200-2-20000000000−2i−2i2i2i20000002i−2i000000000
χ252222-2-22-2-22-22-22000000000022-2-200000022-2-2000000000000
χ262222-2-22-2-22-22-22000000000022-2-2000000-2-222000000000000
χ272222-2-22-2-22-22-220000000000-2-2220000002-22-2000000000000
χ282222-2-22-2-22-22-220000000000-2-222000000-22-22000000000000
χ2922-2-22-2-22-22000000002i−2i2i−2i2-22−22−2i2−i2i2−i200000000000i2−i22−2000
χ3022-2-22-2-22-22000000002i−2i2i−2i2-2−22−22−i2i2−i2i200000000000−i2i2−22000
χ3122-2-22-2-22-22000000002i−2i−2i2i-222−22−2−i2i2−i2i200000000000i2−i2−22000
χ3222-2-22-2-22-22000000002i−2i−2i2i-22−22−22i2−i2i2−i200000000000−i2i22−2000
χ3322-2-22-2-22-2200000000−2i2i2i−2i-222−22−2i2−i2i2−i200000000000−i2i2−22000
χ3422-2-22-2-22-2200000000−2i2i2i−2i-22−22−22−i2i2−i2i200000000000i2−i22−2000
χ3522-2-22-2-22-2200000000−2i2i−2i2i2-22−22−2−i2i2−i2i200000000000−i2i22−2000
χ3622-2-22-2-22-2200000000−2i2i−2i2i2-2−22−22i2−i2i2−i200000000000i2−i2−22000
χ37444444-4-4-4-4-4-444000000000000000000000000000000000000
χ384444-4-44-4-444-44-4000000000000000000000000000000000000
χ394444-4-4-444-44-4-44000000000000000000000000000000000000
χ404444-4-4-444-4-444-4000000000000000000000000000000000000
χ4144-4-44-44-44-400000000000000000022−22−2222000000000000000000
χ4244-4-44-44-44-4000000000000000000−222222−22000000000000000000
χ4344-4-4-4444-4-400004-40000000000000000000000000000000000
χ4444-4-4-4444-4-40000-440000000000000000000000000000000000
χ4544-4-4-44-4-4440000000000000022−22−22220000000000000000000000
χ4644-4-4-44-4-44400000000000000−222222−220000000000000000000000
χ478-88-80000000000004i−4i00000000000000000000000000000000
χ488-88-8000000000000−4i4i00000000000000000000000000000000
χ498-8-88000000000000000000000000000000000000022−220000000
χ508-8-880000000000000000000000000000000000000−22220000000

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