Finite Group Databasebeta

← Group #175541

Character table — Group #175541

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444422244422444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-11-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-11-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111
χ71111111111111111111-1-11-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111
χ81111111111111111111-1-11-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ9111111111-1-1-1-111111-111-1-1-1111-11-11-1-1-11-11-111-1-111-1-111-1-1
χ10111111111-1-1-1-111111-111-1-1-1111-1-11-11-1-1-11-1111-1-1-1-111-1-111
χ11111111111-1-1-1-111111-111-1-1-1-1-11-11-11-1111-11-1-1-111-1-111-1-111
χ12111111111-1-1-1-111111-111-1-1-1-1-11-1-11-1111-11-11-1-11111-1-111-1-1
χ13111111111-1-1-1-111111-1-1-1-11111-111-1-11-1-11-1-11-1-11111-1-1-1-111
χ14111111111-1-1-1-111111-1-1-1-11111-11-111-1-1-1-111-1-1-111-1-11111-1-1
χ15111111111-1-1-1-111111-1-1-1-111-1-1-111-1-11111-1-1111-1-1-1-11111-1-1
χ16111111111-1-1-1-111111-1-1-1-111-1-1-11-111-111-111-111-1-111-1-1-1-111
χ172222222222222-2-2-2-22-200-200000000220000-2-2000000000000
χ182222222222222-2-2-2-22-200-200000000-2-2000022000000000000
χ19222222222-2-2-2-2-2-2-2-222002000000002-20000-22000000000000
χ20222222222-2-2-2-2-2-2-2-22200200000000-2200002-2000000000000
χ2122222222-222-2-222-2-2-2200-20000002-20000-2200000000000000
χ2222222222-222-2-222-2-2-2200-2000000-2200002-200000000000000
χ2322222222-222-2-2-2-222-2-2222-2-200-220000000000000000000000
χ2422222222-222-2-2-2-222-2-2-2-2222002-20000000000000000000000
χ2522222222-2-2-22222-2-2-2-2002000000220000-2-200000000000000
χ2622222222-2-2-22222-2-2-2-2002000000-2-200002200000000000000
χ2722222222-2-2-222-2-222-2222-22200-2-20000000000000000000000
χ2822222222-2-2-222-2-222-22-2-2-2-2-200220000000000000000000000
χ29444-44-4-4-4400000000-40000000000000000000022−220000000000
χ30444-44-4-4-4400000000-400000000000000000000−22220000000000
χ31444-44-4-4-4-400000000400000000000000000000002i2−2i200000000
χ32444-44-4-4-4-40000000040000000000000000000000−2i22i200000000
χ3344-4-4-444-4000004-40000000000000000000000000000000002i2−2i2
χ3444-4-4-444-4000004-4000000000000000000000000000000000−2i22i2
χ3544-4-4-444-400000-4400000000000000000000000000000002i2−2i200
χ3644-4-4-444-400000-440000000000000000000000000000000−2i22i200
χ374-44-4-4-4440004-4000000000002-20000002-20000000000000000
χ384-44-4-4-4440004-400000000000-22000000-220000000000000000
χ394-44-4-4-444000-44000000000002-2000000-220000000000000000
χ404-44-4-4-444000-4400000000000-220000002-20000000000000000
χ414-4-444-44-404-400000000000000000000000000000002i−2i2i−2i0000
χ424-4-444-44-404-40000000000000000000000000000000−2i2i−2i2i0000
χ434-4-444-44-40-4400000000000000000000000000000002i−2i−2i2i0000
χ444-4-444-44-40-440000000000000000000000000000000−2i2i2i−2i0000
χ454-4-4-444-4400000004-4000004-400000000000000000000000000
χ464-4-4-444-4400000004-400000-4400000000000000000000000000
χ474-4-4-444-440000000-44004-400000000000000000000000000000
χ484-4-4-444-440000000-4400-4400000000000000000000000000000
χ4988-88-8-8-88000000000000000000000000000000000000000000
χ508-888-88-8-8000000000000000000000000000000000000000000

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