Finite Group Databasebeta

← Group #511134

Character table — Group #511134

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1122222222244444888888888888888881616161616161616161616161632323232
order12222444488448882244488881616161616161616888888888161616164444
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1
χ51111111111111111-1-1-1-11-1-1111111-1-1-1-11111-111-1-111-1-11-1-1-1
χ61111111111111111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111
χ71111111111111111-1-1-1-11-1-111-1-1-1-111111111-1-1-111-1-111-11-1-1
χ81111111111111111-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1111-111
χ911111111111-1-11111-11-1-111-1-11111111111-1-1-111-1-1-1-1-1-1-111-1
χ1011111111111-1-11111-11-1-111-1-111111111-1-111-1-1-111-1-1-1-11-1-11
χ1111111111111-1-11111-11-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111-11-1
χ1211111111111-1-11111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-11-11
χ1311111111111-1-1111-11-11-1-1-1-1-11111-1-1-1-111-1-111111-1-111-1-1-11
χ1411111111111-1-1111-11-11-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-111111-1
χ1511111111111-1-1111-11-11-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-111-1-111-11
χ1611111111111-1-1111-11-11-1-1-1-1-1-1-1-1-11111-1-1111111111-1-1-1-11-1
χ17222222222-2-222-2-2-222222-2-2-2-2000000000000-2000000000000
χ18222222222-2-222-2-2-2-2-2-2-2222-2-20000000000002000000000000
χ19222222222-2-2-2-2-2-2-22-22-2-2-2-2220000000000002000000000000
χ20222222222-2-2-2-2-2-2-2-22-22-22222000000000000-2000000000000
χ21222-2-22-22-22200-22-2000000000000022-2-2002i−2i0002i−2i00000000
χ22222-2-22-22-22200-22-2000000000000022-2-200−2i2i000−2i2i00000000
χ23222-2-22-22-22200-22-20000000000000-2-222002i−2i000−2i2i00000000
χ24222-2-22-22-22200-22-20000000000000-2-22200−2i2i0002i−2i00000000
χ2522-22-2-222-22200-2-2200000000022-2-200002i−2i0002i−2i0000000000
χ2622-22-2-222-22200-2-2200000000022-2-20000−2i2i000−2i2i0000000000
χ2722-22-2-222-22200-2-22000000000-2-22200002i−2i000−2i2i0000000000
χ2822-22-2-222-22200-2-22000000000-2-2220000−2i2i0002i−2i0000000000
χ2922-2-2222-2-2002200022-2-2-20000i2−i2i2−i2i2−i2i2−i2000000000i2−i2i2−i20000
χ3022-2-2222-2-2002200022-2-2-20000−i2i2−i2i2−i2i2−i2i2000000000−i2i2−i2i20000
χ3122-2-2222-2-20022000-2-222-20000i2−i2i2−i2−i2i2−i2i2000000000i2−i2−i2i20000
χ3222-2-2222-2-20022000-2-222-20000−i2i2−i2i2i2−i2i2−i2000000000−i2i2i2−i20000
χ3322-2-2222-2-200-2-20002-2-2220000i2−i2i2−i2i2−i2i2−i2000000000−i2i2−i2i20000
χ3422-2-2222-2-200-2-20002-2-2220000−i2i2−i2i2−i2i2−i2i2000000000i2−i2i2−i20000
χ3522-2-2222-2-200-2-2000-222-220000i2−i2i2−i2−i2i2−i2i2000000000−i2i2i2−i20000
χ3622-2-2222-2-200-2-2000-222-220000−i2i2−i2i2i2−i2i2−i2000000000i2−i2−i2i20000
χ3744444-4-4-4-40000000000004i−4i000000000000000000000000000
χ3844444-4-4-4-4000000000000−4i4i000000000000000000000000000
χ39444-4-44-44-4-4-4004-440000000000000000000000000000000000
χ40444-4-4-44-4400000000000000002i2−2i2−2i22i2000000000000000000000
χ41444-4-4-44-440000000000000000−2i22i22i2−2i2000000000000000000000
χ4244-44-44-4-44000000000000000000002i2−2i2−2i22i200000000000000000
χ4344-44-44-4-4400000000000000000000−2i22i22i2−2i200000000000000000
χ4444-44-4-444-4-4-40044-40000000000000000000000000000000000
χ4544-4-44-4-44444004-4-40000000000000000000000000000000000
χ4644-4-44-4-444-4-400-4440000000000000000000000000000000000
χ478-800000004i2−4i24-400000000002i2−2i20000000000000000000000000
χ488-800000004i2−4i2-440000000000−2i22i20000000000000000000000000
χ498-80000000−4i24i24-40000000000−2i22i20000000000000000000000000
χ508-80000000−4i24i2-4400000000002i2−2i20000000000000000000000000

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