Finite Group Databasebeta

← Group #175567

Character table — Group #175567

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444424444422224444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-11-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111
χ71111111111111111111-1-11-1-1-1-111-111-111-1-111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-11-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-1-1-1
χ9111111111-1-1-1-111111-111-1-1-11-111-11-11-1-11-11-111-1-111-1-111-1-1
χ10111111111-1-1-1-111111-111-1-1-11-1-1-1-11-11111-11-1-1-111-1-111-1-111
χ11111111111-1-1-1-111111-111-1-1-1-1111-1-111-1-1-11-1111-1-1-1-111-1-111
χ12111111111-1-1-1-111111-111-1-1-1-11-1-1-1-11111-11-11-1-11111-1-111-1-1
χ13111111111-1-1-1-111111-1-1-1-1111-1111-11-1-1-11-1-11-1-11111-1-1-1-111
χ14111111111-1-1-1-111111-1-1-1-1111-1-1-11-11-1111-1-1111-1-1-1-11111-1-1
χ15111111111-1-1-1-111111-1-1-1-111-111111-1-1-1-1-111-1-1-111-1-11111-1-1
χ16111111111-1-1-1-111111-1-1-1-111-11-1-111-1-111-111-111-1-111-1-1-1-111
χ172222222222222-2-2-2-22-200-200000002200000-2-2000000000000
χ182222222222222-2-2-2-22-200-20000000-2-20000022000000000000
χ19222222222-2-2-2-2-2-2-2-22200200000002-200000-22000000000000
χ20222222222-2-2-2-2-2-2-2-2220020000000-22000002-2000000000000
χ2122222222-222-2-222-2-2-2222-2220000-200-2000000000000000000
χ2222222222-222-2-222-2-2-22-2-2-2-2-200002002000000000000000000
χ2322222222-222-2-2-2-222-2-2002002200000000-2-200000000000000
χ2422222222-222-2-2-2-222-2-200200-2-2000000002200000000000000
χ2522222222-2-2-22222-2-2-2-2222-2-20000200-2000000000000000000
χ2622222222-2-2-22222-2-2-2-2-2-22220000-2002000000000000000000
χ2722222222-2-2-222-2-222-2200-2002-200000000-2200000000000000
χ2822222222-2-2-222-2-222-2200-200-22000000002-200000000000000
χ2944-44-4-44-400000004-400000000000000000000000000000002i2−2i2
χ3044-44-4-44-400000004-40000000000000000000000000000000−2i22i2
χ3144-44-4-44-40000000-44000000000000000000000000000002i2−2i200
χ3244-44-4-44-40000000-4400000000000000000000000000000−2i22i200
χ3344-4-44-4-44400000000-4000000000000000000002i2−2i20000000000
χ3444-4-44-4-44400000000-400000000000000000000−2i22i20000000000
χ3544-4-44-4-44-4000000004000000000000000000000022−2200000000
χ3644-4-44-4-44-40000000040000000000000000000000−222200000000
χ374-44-4-4-4440004-4000000000000000000000000000002-22-20000
χ384-44-4-4-4440004-400000000000000000000000000000-22-220000
χ394-44-4-4-444000-44000000000000000000000000000002-2-220000
χ404-44-4-4-444000-4400000000000000000000000000000-222-20000
χ414-4-44-44-44000004-400000004-400000000000000000000000000
χ424-4-44-44-44000004-40000000-4400000000000000000000000000
χ434-4-44-44-4400000-4400004-400000000000000000000000000000
χ444-4-44-44-4400000-440000-4400000000000000000000000000000
χ454-4-4-4444-404-40000000000000002-200002-20000000000000000
χ464-4-4-4444-404-4000000000000000-220000-220000000000000000
χ474-4-4-4444-40-440000000000000002-20000-220000000000000000
χ484-4-4-4444-40-44000000000000000-2200002-20000000000000000
χ49888-8-88-8-8000000000000000000000000000000000000000000
χ508-8888-8-8-8000000000000000000000000000000000000000000

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