Finite Group Databasebeta

← Group #484454

Character table — Group #484454

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222244442244444444444444244444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-111111-1-11111-1-11-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111
χ511111111111111-1-1111111-1-111-1-1-11111-1-1-1111111-1-1-1-1-1-1-1-1
χ611111111111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ711111111111111-1-111-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111-1-111-1-1-1-1-1-111-111-1-1-1-111-1-1-111111111-1-1-1-1
χ9111111-1-1-1-1-1-11111-1-111-1-1-1-111-11-111-1-11-111-111-1-111-1-111-1-1
χ10111111-1-1-1-1-1-11111-1-111-1-1-1-111-11-1-1-1111-111-1-1-111-1-111-1-111
χ11111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111-1-1-111-11-1-11111-1-1-1-111
χ12111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1-111-111-1111-1-1-1-11111-1-1
χ13111111-1-1-1-1-1-111-1-1-1-111-1-111111-1111-1-1-11-11-111-1-1-1-111-1-111
χ14111111-1-1-1-1-1-111-1-1-1-111-1-111111-11-1-111-11-11-1-1-11111-1-111-1-1
χ15111111-1-1-1-1-1-111-1-1-1-1-1-111111111-111-1-11-1-1-11-1-111-1-11111-1-1
χ16111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1111-1-1-1111-1-111-1-1-1-111
χ172222222222222200-2-2222200-2-20000000000-2-2000000000000
χ182222222222222200-2-2-2-2-2-200-2-2000000000022000000000000
χ192222222222-2-2-2-2002-20000002-20220000-2-2000000000000000
χ202222222222-2-2-2-2002-20000002-20-2-2000022000000000000000
χ212222222222-2-2-2-222-220000-2-2-22200000000-200000000000000
χ222222222222-2-2-2-2-2-2-22000022-22-200000000200000000000000
χ23222222-2-2-2-222-2-200-220000002-202-20000-22000000000000000
χ24222222-2-2-2-222-2-200-220000002-20-2200002-2000000000000000
χ25222222-2-2-2-222-2-2222-2000022-22-200000000-200000000000000
χ26222222-2-2-2-222-2-2-2-22-20000-2-2-22200000000200000000000000
χ27222222-2-2-2-2-2-222002222-2-200-2-20000000000-22000000000000
χ28222222-2-2-2-2-2-2220022-2-22200-2-200000000002-2000000000000
χ2922-2-2-2222-2-22-2-2200002i−2i2i−2i00000000000000000000i2−i2i2−i22−22−2
χ3022-2-2-2222-2-22-2-2200002i−2i2i−2i00000000000000000000−i2i2−i2i2−22−22
χ3122-2-2-2222-2-22-2-220000−2i2i−2i2i00000000000000000000i2−i2i2−i2−22−22
χ3222-2-2-2222-2-22-2-220000−2i2i−2i2i00000000000000000000−i2i2−i2i22−22−2
χ3322-2-2-22-2-222-22-2200002i−2i−2i2i00000000000000000000i2−i2−i2i22−2−22
χ3422-2-2-22-2-222-22-2200002i−2i−2i2i00000000000000000000−i2i2i2−i2−222−2
χ3522-2-2-22-2-222-22-220000−2i2i2i−2i00000000000000000000i2−i2−i2i2−222−2
χ3622-2-2-22-2-222-22-220000−2i2i2i−2i00000000000000000000−i2i2i2−i22−2−22
χ374444-4-44-44-400000000000000000002-22-200000000000000000
χ384444-4-44-44-40000000000000000000-22-2200000000000000000
χ394444-4-4-44-4400000000000000000002-2-2200000000000000000
χ404444-4-4-44-440000000000000000000-222-200000000000000000
χ4144-4-44-44-4-4400000000000000000000000000002-22-200000000
χ4244-4-44-44-4-440000000000000000000000000000-22-2200000000
χ4344-4-44-4-444-400000000000000000000000000002-2-2200000000
χ4444-4-44-4-444-40000000000000000000000000000-222-200000000
χ4544-4-4-4444-4-4-444-4000000000000000000000000000000000000
χ4644-4-4-44-4-4444-44-4000000000000000000000000000000000000
χ478-88-80000000000000000004i−4i00000000000000000000000000
χ488-88-8000000000000000000−4i4i00000000000000000000000000
χ498-8-8800000000004i−4i0000000000000000000000000000000000
χ508-8-880000000000−4i4i0000000000000000000000000000000000

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