Finite Group Databasebeta

← Group #175611

Character table — Group #175611

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444422244444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-111-1-111-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-11-1-111-1-1-1-1-11111-111-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-11-1-111-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111
χ71111111111111111111-1-11-1-1-1-11-1-11111-1-1111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-11-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1
χ9111111111-1-1-1-111111-111-1-1-11-111-11-1111-1-1-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-111111-111-1-1-11-111-11-1-1-11-1-111-1-111-1-111-1-111
χ11111111111-1-1-1-111111-111-1-1-1-11-11-1-1111-111-1-111-1-1-1-111-1-111
χ12111111111-1-1-1-111111-111-1-1-1-11-11-1-11-1-1-11111-1-11111-1-111-1-1
χ13111111111-1-1-1-111111-1-1-1-1111-1-1-11-11111-11-1-1-1-11111-1-1-1-111
χ14111111111-1-1-1-111111-1-1-1-1111-1-1-11-11-1-11-111111-1-1-1-11111-1-1
χ15111111111-1-1-1-111111-1-1-1-111-111-111-111-11-1-1-1-1-111-1-11111-1-1
χ16111111111-1-1-1-111111-1-1-1-111-111-111-1-1-1-11-11111-1-111-1-1-1-111
χ172222222222222-2-2-22-2-200-20000200-2-20000200000000000000
χ182222222222222-2-2-22-2-200-20000-200220000-200000000000000
χ19222222222-2-2-2-2-2-2-22-220020000200-220000-200000000000000
χ20222222222-2-2-2-2-2-2-22-220020000-2002-20000200000000000000
χ2122222222-222-2-22-2-2-22200-2002-20000000-22000000000000000
χ2222222222-222-2-22-2-2-22200-200-2200000002-2000000000000000
χ2322222222-222-2-2-222-2-2-222222000-2-2000000000000000000000
χ2422222222-222-2-2-222-2-2-2-2-22-2-200022000000000000000000000
χ2522222222-2-2-2222-2-2-22-200200220000000-2-2000000000000000
χ2622222222-2-2-2222-2-2-22-200200-2-2000000022000000000000000
χ2722222222-2-2-222-222-2-2222-2-2-2000-22000000000000000000000
χ2822222222-2-2-222-222-2-22-2-2-2220002-2000000000000000000000
χ29444-4-44-4-4000004000-4000000000000000000000000000022−2200
χ30444-4-44-4-4000004000-40000000000000000000000000000−222200
χ31444-4-44-4-400000-400040000000000000000000000000000002i2−2i2
χ32444-4-44-4-400000-40004000000000000000000000000000000−2i22i2
χ3344-44-4-4-4440000000-4000000000000000000000002i2−2i200000000
χ3444-44-4-4-4440000000-400000000000000000000000−2i22i200000000
χ3544-44-4-4-44-40000000400000000000000000000022−220000000000
χ3644-44-4-4-44-400000004000000000000000000000−22220000000000
χ374-44-4-4-4440000004-40000004-400000000000000000000000000
χ384-44-4-4-4440000004-4000000-4400000000000000000000000000
χ394-44-4-4-444000000-440004-400000000000000000000000000000
χ404-44-4-4-444000000-44000-4400000000000000000000000000000
χ414-4-44-444-404i−4i000000000000000000002-20002i−2i000000000000
χ424-4-44-444-404i−4i00000000000000000000-22000−2i2i000000000000
χ434-4-44-444-40−4i4i000000000000000000002-2000−2i2i000000000000
χ444-4-44-444-40−4i4i00000000000000000000-220002i−2i000000000000
χ454-4-4-444-440004-4000000000000000000000000000002-22-20000
χ464-4-4-444-440004-400000000000000000000000000000-22-220000
χ474-4-4-444-44000-44000000000000000000000000000002-2-220000
χ484-4-4-444-44000-4400000000000000000000000000000-222-20000
χ4988-8-88-88-8000000000000000000000000000000000000000000
χ508-8888-8-8-8000000000000000000000000000000000000000000

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