Finite Group Databasebeta

← Group #178198

Character table — Group #178198

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222224444444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111
χ5111111111111111111-1-111-1-11-1-11-11-11111-11-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-111-1-11-1-11-11-1-1-1-1-1-11-11111-1-1-1-11111
χ7111111111111111111-1-111-1-1-11-1-11-111111-1-11-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-111-1-1-11-1-11-11-1-1-1-1-1-1111111111-1-1-1-1
χ911111111-1-1111-1-111111-1-1-1-11-1-1-11-1111-1-111-111-1-111-1-111-1-1
χ1011111111-1-1111-1-111111-1-1-1-11-1-1-11-11-1-11111-1-1-111-1-111-1-111
χ1111111111-1-1111-1-111111-1-1-1-1-11-11-11-111-1-11-1111-1-1-1-111-1-111
χ1211111111-1-1111-1-111111-1-1-1-1-11-11-11-1-1-1111-11-1-11111-1-111-1-1
χ1311111111-1-1111-1-1111-1-1-1-111111-1-1-1-111-1-1-111-1-11111-1-1-1-111
χ1411111111-1-1111-1-1111-1-1-1-111111-1-1-1-1-1-111-11111-1-1-1-11111-1-1
χ1511111111-1-1111-1-1111-1-1-1-111-1-11111111-1-1-1-1-1-1-111-1-11111-1-1
χ1611111111-1-1111-1-1111-1-1-1-111-1-111111-1-111-1-1-111-1-111-1-1-1-111
χ1722222222222-2-2-2-22-2-2002-2000200-202000000-2000000000000
χ1822222222222-2-2-2-22-2-2002-2000-20020-20000002000000000000
χ192222222222-22-2-2-2-22-200-2200200-202000000-20000000000000
χ202222222222-22-2-2-2-22-200-2200-20020-200000020000000000000
χ212222222222-2-2222-2-2222-2-2-2-200200000000-200000000000000
χ222222222222-2-2222-2-22-2-2-2-22200-200000000200000000000000
χ2322222222-2-22-2-2222-2-200-2200020020-2000000-2000000000000
χ2422222222-2-22-2-2222-2-200-22000-200-2020000002000000000000
χ2522222222-2-2-22-222-22-2002-20020020-2000000-20000000000000
χ2622222222-2-2-22-222-22-2002-200-200-20200000020000000000000
χ2722222222-2-2-2-22-2-2-2-2222222200-200000000-200000000000000
χ2822222222-2-2-2-22-2-2-2-22-2-222-2-200200000000200000000000000
χ29444-4-4-4-44000040000-400004-400000000000000000000000000
χ30444-4-4-4-44000040000-40000-4400000000000000000000000000
χ31444-4-4-4-440000-4000044i−4i000000000000000000000000000000
χ32444-4-4-4-440000-400004−4i4i000000000000000000000000000000
χ3344-44-44-4-400040000-40000000000000000000000000000022−2200
χ3444-44-44-4-400040000-400000000000000000000000000000−222200
χ3544-44-44-4-4000-40000400000000000000000000000000000002i2−2i2
χ3644-44-44-4-4000-4000040000000000000000000000000000000−2i22i2
χ374-444-4-44-40040000-40000000000000000000000000022−22000000
χ384-444-4-44-40040000-400000000000000000000000000−2222000000
χ394-444-4-44-400-40000400000000000000000000000000002i2−2i20000
χ404-444-4-44-400-4000040000000000000000000000000000−2i22i20000
χ414-4-444-4-444-400000000000000000000000000002i−2i2i−2i00000000
χ424-4-444-4-444-40000000000000000000000000000−2i2i−2i2i00000000
χ434-4-444-4-44-4400000000000000000000000000002i−2i−2i2i00000000
χ444-4-444-4-44-440000000000000000000000000000−2i2i2i−2i00000000
χ454-4-4-4-4444000004-400000000000000002-22-2000000000000000
χ464-4-4-4-4444000004-40000000000000000-22-22000000000000000
χ474-4-4-4-444400000-4400000000000000002-2-22000000000000000
χ484-4-4-4-444400000-440000000000000000-222-2000000000000000
χ4988-8-88-88-8000000000000000000000000000000000000000000
χ508-88-888-8-8000000000000000000000000000000000000000000

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