Finite Group Databasebeta

← Group #175985

Character table — Group #175985

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444422444422224444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-111-1-1-1-11-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111
χ5111111111111111111-1-111-1-1-11111-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-111-1-1-111-1-1111-1-111-11-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-111111111
χ8111111111111111111-1-111-1-1-1-1-1-1-11-1-1-1-111-1111111111-1-1-1-1
χ91111111111-1-1-1-1111111-1-1-1-1-1111-11-1-11-11-11-111-1-111-1-111-1-1
χ101111111111-1-1-1-1111111-1-1-1-1-111-11-1-1-1-11-1111-1-11111-1-1-1-111
χ111111111111-1-1-1-1111111-1-1-1-1-1-1-11-11111-11-11-1-1-111-1-111-1-111
χ121111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-11-111111-1-1-1-11111-1-1
χ131111111111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-11-1111-1-1-1-111-1-111
χ141111111111-1-1-1-11111-1-1-1-111111-111-1-1-111-1-1-1-1-111-1-11111-1-1
χ151111111111-1-1-1-11111-1-1-1-1111-1-11-1-1111-1-11-11-1-11111-1-111-1-1
χ161111111111-1-1-1-11111-1-1-1-1111-1-1-11111-111-1-1-111-1-111-1-1-1-111
χ17222222222-222-2-2-2-22-2002-2000000020000-220-2000000000000
χ18222222222-222-2-2-2-22-2002-20000000-200002-202000000000000
χ19222222222-2-2-222-2-22-200-22000000020000-2-202000000000000
χ20222222222-2-2-222-2-22-200-220000000-20000220-2000000000000
χ2122222222-2222-2-2-2-2-2222-22-2-2200000000000-20000000000000
χ2222222222-2222-2-2-2-2-22-2-2-2222-20000000000020000000000000
χ2322222222-22-2-222-2-2-22222-222-200000000000-20000000000000
χ2422222222-22-2-222-2-2-22-2-22-2-2-220000000000020000000000000
χ2522222222-2-2222222-2-200-2-20000022000-2-20000000000000000
χ2622222222-2-2222222-2-200-2-200000-2-2000220000000000000000
χ2722222222-2-2-2-2-2-222-2-20022000002-2000-220000000000000000
χ2822222222-2-2-2-2-2-222-2-2002200000-220002-20000000000000000
χ29444-44-4-4-400004i−4i000000000002-20002i−2i000000000000000000
χ30444-44-4-4-400004i−4i00000000000-22000−2i2i000000000000000000
χ31444-44-4-4-40000−4i4i000000000002-2000−2i2i000000000000000000
χ32444-44-4-4-40000−4i4i00000000000-220002i−2i000000000000000000
χ3344-44-44-4-4004-400000000000000000000000000000000002i−2i2i−2i
χ3444-44-44-4-4004-40000000000000000000000000000000000−2i2i−2i2i
χ3544-44-44-4-400-4400000000000000000000000000000000002i−2i−2i2i
χ3644-44-44-4-400-440000000000000000000000000000000000−2i2i2i−2i
χ3744-4-4-4-44440000000-4000000000000000000000002i2−2i200000000
χ3844-4-4-4-44440000000-400000000000000000000000−2i22i200000000
χ3944-4-4-4-444-40000000400000000000000000000022−220000000000
χ4044-4-4-4-444-400000004000000000000000000000−22220000000000
χ414-44-4-444-4040000000-400004i−4i00000000000000000000000000
χ424-44-4-444-4040000000-40000−4i4i00000000000000000000000000
χ434-44-4-444-40-4000000044-4000000000000000000000000000000
χ444-44-4-444-40-400000004-44000000000000000000000000000000
χ454-4-4-444-440000004-4000000000000000000000000000022−220000
χ464-4-4-444-440000004-40000000000000000000000000000−22220000
χ474-4-4-444-44000000-440000000000000000000000000022−22000000
χ484-4-4-444-44000000-4400000000000000000000000000−2222000000
χ498-888-8-8-88000000000000000000000000000000000000000000
χ508-8-888-88-8000000000000000000000000000000000000000000

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