Finite Group Databasebeta

← Group #247822

Character table — Group #247822

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222244444444244444444444224444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-11111-1-11111-1-1-111-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-11111-1-11111-1-11-1-1111-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111-1-11111-1-111-1-1-1-11-1-1-1-11-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-111-1-1-1-111-1-1-11111-111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1
χ911111111111111-1-11111-1-111-1-11-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ1011111111111111-1-11111-1-111-1-1-11-1-1111-11-1-1-1-1-111-1-111-1-111
χ1111111111111111-1-111-1-1-1-111111-1-1-1-1-1-11-111111-1-1-1-111-1-111
χ1211111111111111-1-111-1-1-1-11111-11-1-1-1-1-1-11111-1-11111-1-111-1-1
χ1311111111111111-1-1-1-111-1-1-1-1-1-11-1111-1-11-1-111-1-11111-1-1-1-111
χ1411111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-1-11-11111-1-1-1-11111-1-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1111-111-1111-11-1-1-1-111-1-11111-1-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-111-1111-111-111-1-111-1-111-1-1-1-111
χ172222222222-2-2-2-22-222002-2-2-200002-200000000000000000000
χ182222222222-2-2-2-22-2-2-2002-2220000-2200000000000000000000
χ192222222222-2-2-2-2-222200-22-2-20000-2200000000000000000000
χ202222222222-2-2-2-2-22-2-200-222200002-200000000000000000000
χ21222222-2-2-2-222-2-22-20000-220000000002-20002-2000000000000
χ22222222-2-2-2-222-2-22-20000-22000000000-22000-22000000000000
χ23222222-2-2-2-222-2-2-2200002-20000000002-2000-22000000000000
χ24222222-2-2-2-222-2-2-2200002-2000000000-220002-2000000000000
χ25222222-2-2-2-2-2-222220022-2-200220000-20000-200000000000000
χ26222222-2-2-2-2-2-2222200-2-2-2-200-2-2000020000200000000000000
χ27222222-2-2-2-2-2-222-2-200222200-2-20000-20000200000000000000
χ28222222-2-2-2-2-2-222-2-200-2-2220022000020000-200000000000000
χ292222-2-2-2-2222-22-2002-200002-20002000000-2000002-200000000
χ302222-2-2-2-2222-22-2002-200002-2000-2000000200000-2200000000
χ312222-2-2-2-2222-22-200-220000-220002000000-200000-2200000000
χ322222-2-2-2-2222-22-200-220000-22000-20000002000002-200000000
χ332222-2-2-2-222-22-22002-20000-22002000000-200002-20000000000
χ342222-2-2-2-222-22-22002-20000-2200-200000020000-220000000000
χ352222-2-2-2-222-22-2200-2200002-2002000000-20000-220000000000
χ362222-2-2-2-222-22-2200-2200002-200-2000000200002-20000000000
χ374444-4-444-4-44-4-44000000000000000000000000000000000000
χ384444-4-444-4-4-444-4000000000000000000000000000000000000
χ394-44-44-44-44-40000000000000000000000000000000000002i2−2i200
χ404-44-44-44-44-4000000000000000000000000000000000000−2i22i200
χ414-44-44-4-44-44000000000000000000000000000000000000002i2−2i2
χ424-44-44-4-44-4400000000000000000000000000000000000000−2i22i2
χ434-44-4-444-4-4400000000000000000000000000000000002i2−2i20000
χ444-44-4-444-4-440000000000000000000000000000000000−2i22i20000
χ454-44-4-44-444-4000000000000000000000000000000002i2−2i2000000
χ464-44-4-44-444-400000000000000000000000000000000−2i22i2000000
χ4788-8-8000000000000000000004-4000000000000000000000000
χ4888-8-800000000000000000000-44000000000000000000000000
χ498-8-88000000000000004i−4i000000000000000000000000000000
χ508-8-8800000000000000−4i4i000000000000000000000000000000

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