Finite Group Databasebeta

← Group #175014

Character table — Group #175014

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444444444444244444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111-1-1-1-111111-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ9111111111-1-1-1-1-1-111111-111-1-111-1-111-111-11-11-1-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-1-1-111111-111-1-111-1-111-1-1-1-11-11-111-1-111-1-111-1-111
χ11111111111-1-1-1-1-1-111111-111-1-1-1-111-11-1111-11-11-1-111-1-1-1-111-1-111
χ12111111111-1-1-1-1-1-111111-111-1-1-1-111-11-1-1-11-11-1111-1-11111-1-111-1-1
χ13111111111-1-1-1-1-1-111111-1-1-11111-1-11-1111-1-11-11-1-1-1-11111-1-1-1-111
χ14111111111-1-1-1-1-1-111111-1-1-11111-1-11-11-1-1-1-11-111111-1-1-1-11111-1-1
χ15111111111-1-1-1-1-1-111111-1-1-111-1-111-1-111111-11-1-1-1-1-111-1-11111-1-1
χ16111111111-1-1-1-1-1-111111-1-1-111-1-111-1-11-1-111-11-11111-1-111-1-1-1-111
χ1722222222222-2-222-2-2-2-22-20000000000000022-2-200000000000000
χ1822222222222-2-222-2-2-2-22-200000000000000-2-22200000000000000
χ19222222222-2-222-2-2-2-2-2-222000000000000002-2-2200000000000000
χ20222222222-2-222-2-2-2-2-2-22200000000000000-222-200000000000000
χ2122222222-22222-2-2-2-222-2-222-2-200000-22000000000000000000000
χ2222222222-22222-2-2-2-222-2-2-2-222000002-2000000000000000000000
χ2322222222-222-2-2-2-222-2-2-22000022-2-2-200002000000000000000000
χ2422222222-222-2-2-2-222-2-2-220000-2-22220000-2000000000000000000
χ2522222222-2-2-2222222-2-2-2-200002222-20000-2000000000000000000
χ2622222222-2-2-2222222-2-2-2-20000-2-2-2-2200002000000000000000000
χ2722222222-2-2-2-2-222-2-222-22222200000-2-2000000000000000000000
χ2822222222-2-2-2-2-222-2-222-22-2-2-2-20000022000000000000000000000
χ29444-4-44-4-4000004-400000000000000000000000000000000002-22-2
χ30444-4-44-4-4000004-40000000000000000000000000000000000-22-22
χ31444-4-44-4-400000-4400000000000000000000000000000000002-2-22
χ32444-4-44-4-400000-440000000000000000000000000000000000-222-2
χ3344-44-4-44-440000000000-4000000000000000000000000022−22000000
χ3444-44-4-44-440000000000-40000000000000000000000000−2222000000
χ3544-44-4-44-4-4000000000040000000000000000000000000002i2−2i20000
χ3644-44-4-44-4-400000000004000000000000000000000000000−2i22i20000
χ3744-4-44-4-440004i−4i00000000000000000002i−2i000002-2000000000000
χ3844-4-44-4-440004i−4i0000000000000000000−2i2i00000-22000000000000
χ3944-4-44-4-44000−4i4i00000000000000000002i−2i00000-22000000000000
χ4044-4-44-4-44000−4i4i0000000000000000000−2i2i000002-2000000000000
χ414-444-4-4-4404-40000000000000000000000000000002i−2i2i−2i00000000
χ424-444-4-4-4404-4000000000000000000000000000000−2i2i−2i2i00000000
χ434-444-4-4-440-440000000000000000000000000000002i−2i−2i2i00000000
χ444-444-4-4-440-44000000000000000000000000000000−2i2i2i−2i00000000
χ454-4-4444-4-400000004-400000000004i−4i000000000000000000000000
χ464-4-4444-4-400000004-40000000000−4i4i000000000000000000000000
χ474-4-4444-4-40000000-44000000004i−4i00000000000000000000000000
χ484-4-4444-4-40000000-4400000000−4i4i00000000000000000000000000
χ494-4-4-4-44440000000004-400004-40000000000000000000000000000
χ504-4-4-4-44440000000004-40000-440000000000000000000000000000
χ514-4-4-4-4444000000000-44004-4000000000000000000000000000000
χ524-4-4-4-4444000000000-4400-44000000000000000000000000000000
χ538-88-88-88-8000000000000000000000000000000000000000000000

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