Finite Group Databasebeta

← Group #176063

Character table — Group #176063

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222224444444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111-1-11-1-11-1-1-11-11-11-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-11-1-11-1-1-11-11-11-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111-1-11-1-1-11-1-1-11-11-111111-1-1-1-11111-1-1-1-1
χ81111111111111111111-1-11-1-1-11-1-1-11-11-11-1-1-1-11111-1-1-1-11111
χ911111111-1-11-1-111111-111-1-1-1111-1-1-11-1-1111-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-111111-111-1-1-1111-1-1-11-1-11-1-111-1-111-1-111-1-111
χ1111111111-1-11-1-111111-111-1-1-1-1-11-111-111-111-1-1-1-111-1-11111-1-1
χ1211111111-1-11-1-111111-111-1-1-1-1-11-111-111-1-1-11111-1-111-1-1-1-111
χ1311111111-1-11-1-111111-1-1-1-1111-1-11-1111-1-111-1-111-1-1-1-111-1-111
χ1411111111-1-11-1-111111-1-1-1-1111-1-11-1111-1-1-1-111-1-11111-1-111-1-1
χ1511111111-1-11-1-111111-1-1-1-111-11-111-1-1-11111-1-1-1-11111-1-1-1-111
χ1611111111-1-11-1-111111-1-1-1-111-11-111-1-1-111-1-11111-1-1-1-11111-1-1
χ1722222222222-2-2-2-2-2-22-2222-2-200-220000000000000000000000
χ1822222222222-2-2-2-2-2-22-2-2-2222002-20000000000000000000000
χ192222222222-222-2-222-2-200-200200020-20-200000000000000000
χ202222222222-222-2-222-2-200-200-2000-2020200000000000000000
χ212222222222-2-2-222-2-2-2200-20002000-2020-20000000000000000
χ222222222222-2-2-222-2-2-2200-2000-200020-2020000000000000000
χ2322222222-2-2222-2-2-2-22222-22200-2-20000000000000000000000
χ2422222222-2-2222-2-2-2-222-2-2-2-2-200220000000000000000000000
χ2522222222-2-2-22222-2-2-2-2002000200020-20-20000000000000000
χ2622222222-2-2-22222-2-2-2-2002000-2000-202020000000000000000
χ2722222222-2-2-2-2-2-2-222-22002002000-20-20200000000000000000
χ2822222222-2-2-2-2-2-2-222-2200200-20002020-200000000000000000
χ29444-4-4-4-4400000004-400000000000000000000000000000002i2−2i2
χ30444-4-4-4-4400000004-40000000000000000000000000000000−2i22i2
χ31444-4-4-4-440000000-44000000000000000000000000000002i2−2i200
χ32444-4-4-4-440000000-4400000000000000000000000000000−2i22i200
χ3344-444-4-4-4000004-4000000000000000000000000022−2200000000
χ3444-444-4-4-4000004-40000000000000000000000000−222200000000
χ3544-444-4-4-400000-440000000000000000000000022−220000000000
χ3644-444-4-4-400000-4400000000000000000000000−22220000000000
χ374-444-44-4-44-4000000000000000000000000000000002-22-20000
χ384-444-44-4-44-400000000000000000000000000000000-22-220000
χ394-444-44-4-4-44000000000000000000000000000000002-2-220000
χ404-444-44-4-4-4400000000000000000000000000000000-222-20000
χ414-44-44-44-4004000000-400004-400000000000000000000000000
χ424-44-44-44-4004000000-40000-4400000000000000000000000000
χ434-44-44-44-400-4000000404i−4i00000000000000000000000000000
χ444-44-44-44-400-400000040−4i4i00000000000000000000000000000
χ454-4-44-4-4440004-40000000000000000000002-22-2000000000000
χ464-4-44-4-4440004-4000000000000000000000-22-22000000000000
χ474-4-44-4-444000-440000000000000000000002-2-22000000000000
χ484-4-44-4-444000-44000000000000000000000-222-2000000000000
χ4988-8-8-888-8000000000000000000000000000000000000000000
χ508-8-8-888-88000000000000000000000000000000000000000000

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