Finite Group Databasebeta

← Group #177894

Character table — Group #177894

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444422244422244444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-11-1-1-1-11-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-1-1-1111-1-1-111-1-1-11111-1-1-1-1-1-1-1-11111
χ61111111111111111111-1-1-1-1111-1-1-111-1-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111-1-1-1-11-1-11-11-1-11-111111-1-1-1-11111-1-1-1-1
χ81111111111111111111-1-1-1-11-1-11-11-1-11-11-1-1-1-11111-1-1-1-11111
χ911111111-1-11-1-111111-111-1-1-11-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-111111-111-1-1-11-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-11-1-111111-111-1-1-1-11-11-1-111-1111-1-111-1-1-1-111-1-111
χ1211111111-1-11-1-111111-111-1-1-1-11-11-1-111-11-1-111-1-11111-1-111-1-1
χ1311111111-1-11-1-111111-1-1-111-11-1-1-1-11-111111-1-1-1-111-1-11111-1-1
χ1411111111-1-11-1-111111-1-1-111-11-1-1-1-11-1111-1-11111-1-111-1-1-1-111
χ1511111111-1-11-1-111111-1-1-111-1-111-11-11-11-111-1-1-1-11111-1-1-1-111
χ1611111111-1-11-1-111111-1-1-111-1-111-11-11-11-1-1-11111-1-1-1-11111-1-1
χ1722222222222-2-2-2-2-2-22-20000222000-2-20000000000000000000
χ1822222222222-2-2-2-2-2-22-200002-2-2000220000000000000000000
χ192222222222-222-2-222-2-222-2-2-2000-20000200000000000000000
χ202222222222-222-2-222-2-2-2-222-200020000-200000000000000000
χ212222222222-2-2-222-2-2-220000-20020-200-2020000000000000000
χ222222222222-2-2-222-2-2-220000-200-2020020-20000000000000000
χ2322222222-2-2222-2-2-2-2220000-22-2000-220000000000000000000
χ2422222222-2-2222-2-2-2-2220000-2-220002-20000000000000000000
χ2522222222-2-2-22222-2-2-2-2000020020-20020-20000000000000000
χ2622222222-2-2-22222-2-2-2-20000200-20200-2020000000000000000
χ2722222222-2-2-2-2-2-2-222-2222222000-20000-200000000000000000
χ2822222222-2-2-2-2-2-2-222-22-2-2-2-2200020000200000000000000000
χ29444-4-4-44-40004i−4i00000000000000000000000002-22i−2i00000000
χ30444-4-4-44-40004i−4i0000000000000000000000000-22−2i2i00000000
χ31444-4-4-44-4000−4i4i00000000000000000000000002-2−2i2i00000000
χ32444-4-4-44-4000−4i4i0000000000000000000000000-222i−2i00000000
χ334-444-44-4-4000004-40000000000000000000000000000000002i2−2i2
χ344-444-44-4-4000004-4000000000000000000000000000000000−2i22i2
χ354-444-44-4-400000-4400000000000000000000000000000002i2−2i200
χ364-444-44-4-400000-440000000000000000000000000000000−2i22i200
χ374-44-44-4-44004000000-40000000000000000000000002i2−2i2000000
χ384-44-44-4-44004000000-4000000000000000000000000−2i22i2000000
χ394-44-44-4-4400-400000040000000000000000000000000022−220000
χ404-44-44-4-4400-4000000400000000000000000000000000−22220000
χ414-4-44-4-4444-40000000000000000000000002-22-2000000000000
χ424-4-44-4-4444-4000000000000000000000000-22-22000000000000
χ434-4-44-4-444-440000000000000000000000002-2-22000000000000
χ444-4-44-4-444-44000000000000000000000000-222-2000000000000
χ454-4-4-4444-400000004-400004-4000000000000000000000000000
χ464-4-4-4444-400000004-40000-44000000000000000000000000000
χ474-4-4-4444-40000000-44004-400000000000000000000000000000
χ484-4-4-4444-40000000-4400-4400000000000000000000000000000
χ4988-888-8-8-8000000000000000000000000000000000000000000
χ5088-8-8-88-88000000000000000000000000000000000000000000

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