Finite Group Databasebeta

← Group #175494

Character table — Group #175494

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444224444444244444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-11111-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1111-1-111-1-1-1111-1-1111-1-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1111-1-111-1-1-1-1-11-1-1-1-11-111111111-1-1-1-1
χ711111111111111111111-1-11-1-1-1-1-1-11-1-111-11111-11-1-1-1-11111-1-1-1-1
χ811111111111111111111-1-11-1-1-1-1-1-11-1-1-1-1-111-1-1-111111-1-1-1-11111
χ9111111111-1-1-1-1-1-11111111-111-1-1-1-111-111-11-1-1-11-111-1-111-1-111-1-1
χ10111111111-1-1-1-1-1-11111111-111-1-1-1-111-1-1-1-11-1111-1-1-111-1-111-1-111
χ11111111111-1-1-1-1-1-11111111-1-1-1-1-111-11-1111-11-1-1-1111-1-1-1-111-1-111
χ12111111111-1-1-1-1-1-11111111-1-1-1-1-111-11-1-1-11-1111-11-1-11111-1-111-1-1
χ13111111111-1-1-1-1-1-111111-1-1-11111-1-1-1-1111-1-11-1-111-1-111-1-11111-1-1
χ14111111111-1-1-1-1-1-111111-1-1-11111-1-1-1-11-1-1-1-11111111-1-111-1-1-1-111
χ15111111111-1-1-1-1-1-111111-1-1-1-1-111111-111111-1-1-1-1-1-1-11111-1-1-1-111
χ16111111111-1-1-1-1-1-111111-1-1-1-1-111111-11-1-111-111-1-111-1-1-1-11111-1-1
χ1722222222222-2-222-2-2-2-2200-222002200000-20000-20000000000000
χ1822222222222-2-222-2-2-2-2200-2-2-200-2-2000002000020000000000000
χ19222222222-2-222-2-2-2-2-2-220022200-2-20000020000-20000000000000
χ20222222222-2-222-2-2-2-2-2-22002-2-2002200000-2000020000000000000
χ2122222222-22222-2-2-2-222-222-200-2-2000-22000000000000000000000
χ2222222222-22222-2-2-2-222-2-2-2-200220002-2000000000000000000000
χ2322222222-222-2-2-2-222-2-2-2002000000200000-22000-2000000000000
χ2422222222-222-2-2-2-222-2-2-2002000000-2000002-20002000000000000
χ2522222222-2-2-2222222-2-2-200-2000000200000-2-20002000000000000
χ2622222222-2-2-2222222-2-2-200-2000000-20000022000-2000000000000
χ2722222222-2-2-2-2-222-2-222-22220022000-2-2000000000000000000000
χ2822222222-2-2-2-2-222-2-222-2-2-2200-2-200022000000000000000000000
χ29444-4-44-4-440000000000-40004-40000000000000000000000000000
χ30444-4-44-4-440000000000-4000-440000000000000000000000000000
χ31444-4-44-4-4-40000000000400000004i−4i000000000000000000000000
χ32444-4-44-4-4-4000000000040000000−4i4i000000000000000000000000
χ3344-4-44-4-4404i−4i0000000000000000000002-20002i−2i00000000000000
χ3444-4-44-4-4404i−4i000000000000000000000-22000−2i2i00000000000000
χ3544-4-44-4-440−4i4i0000000000000000000002-2000−2i2i00000000000000
χ3644-4-44-4-440−4i4i000000000000000000000-220002i−2i00000000000000
χ374-444-4-4-440004-400000000000000000000000000002i−2i2i−2i00000000
χ384-444-4-4-440004-40000000000000000000000000000−2i2i−2i2i00000000
χ394-444-4-4-44000-4400000000000000000000000000002i−2i−2i2i00000000
χ404-444-4-4-44000-440000000000000000000000000000−2i2i2i−2i00000000
χ414-44-44-44-400000004-400000000000000000000000000000000002i2−2i2
χ424-44-44-44-400000004-40000000000000000000000000000000000−2i22i2
χ434-44-44-44-40000000-44000000000000000000000000000000002i2−2i200
χ444-44-44-44-40000000-4400000000000000000000000000000000−2i22i200
χ454-4-4444-4-4000004i−4i0000000000000000000000000000002-22i−2i0000
χ464-4-4444-4-4000004i−4i000000000000000000000000000000-22−2i2i0000
χ474-4-4444-4-400000−4i4i0000000000000000000000000000002-2−2i2i0000
χ484-4-4444-4-400000−4i4i000000000000000000000000000000-222i−2i0000
χ494-4-4-4-44440000000004-40000004-400000000000000000000000000
χ504-4-4-4-44440000000004-4000000-4400000000000000000000000000
χ514-4-4-4-4444000000000-4404-40000000000000000000000000000000
χ524-4-4-4-4444000000000-440-440000000000000000000000000000000
χ5388-88-8-88-8000000000000000000000000000000000000000000000

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