Finite Group Databasebeta

← Group #265641

Character table — Group #265641

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122224444888888881616161616161616161616161616161616161616161616161616
order12222222222244442244444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-11-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-11-1111-11-1-11-1-1-1-111-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-11-11-1-1-11-1-11-1-111-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-111-1-111-111-1-111-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1111111-1-1-1-1
χ91111111111111111-1-1-1-111111-1111-1-11-1-11-111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-111111-11-1-1-1-11-1-11-1-1-11111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-1-111-11-111-1111-1-1-1-1-1-111-1-111
χ121111111111111111-1-1-1-11111-1-1-1-1-1-11-111-11-1-1111111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1111111-1-11-1-11-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1111-1-11-1-11-1-111111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-11-111111-111-1-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-11-1-1-1111-111-11111-1-111-1-1-1-111
χ17222222222222-2-2-2-222-2-222-2-20-2000200000000000000000000
χ18222222222222-2-2-2-222-2-2-2-22202000-200000000000000000000
χ19222222222222-2-2-2-2-2-22222-2-202000-200000000000000000000
χ20222222222222-2-2-2-2-2-222-2-2220-2000200000000000000000000
χ2122222222-2-2-2-22-22-200002-22-2000000202-20-200000000000000
χ2222222222-2-2-2-22-22-200002-22-2000000-20-220200000000000000
χ2322222222-2-2-2-22-22-20000-22-2200000020-2-20200000000000000
χ2422222222-2-2-2-22-22-20000-22-22000000-20220-200000000000000
χ2522222222-2-2-2-2-22-2200002-2-2220-20000-2002000000000000000
χ2622222222-2-2-2-2-22-2200002-2-22-2020000200-2000000000000000
χ2722222222-2-2-2-2-22-220000-222-220-20000200-2000000000000000
χ2822222222-2-2-2-2-22-220000-222-2-2020000-2002000000000000000
χ29222-22-2-2-22-22-222-2-22-22-200000002-20000000002-20000000000
χ30222-22-2-2-22-22-222-2-22-22-20000000-22000000000-220000000000
χ31222-22-2-2-22-22-222-2-2-22-2200000002-2000000000-220000000000
χ32222-22-2-2-22-22-222-2-2-22-220000000-220000000002-20000000000
χ33222-22-2-2-22-22-2-2-2222-2-2200000000000000002i−2i002i−2i00000000
χ34222-22-2-2-22-22-2-2-2222-2-220000000000000000−2i2i00−2i2i00000000
χ35222-22-2-2-22-22-2-2-222-222-200000000000000002i−2i00−2i2i00000000
χ36222-22-2-2-22-22-2-2-222-222-20000000000000000−2i2i002i−2i00000000
χ37444-44-4-4-4-44-444-4-440000000000000000000000000000000000
χ38444-44-4-4-4-44-44-444-40000000000000000000000000000000000
χ3944-44-44-4-44-4-4400000000000000000000000000000000000022−22
χ4044-44-44-4-44-4-44000000000000000000000000000000000000−2222
χ4144-44-44-4-4-444-40000000000000000000000000000000022−220000
χ4244-44-44-4-4-444-400000000000000000000000000000000−22220000
χ4344-4-4-4-44444-4-400000000000000000000000000000000002i2−2i200
χ4444-4-4-4-44444-4-40000000000000000000000000000000000−2i22i200
χ4544-4-4-4-444-4-44400000000000000000000000000000022−22000000
χ4644-4-4-4-444-4-444000000000000000000000000000000−2222000000
χ478-888-8-88-8000000000000000000000000000000000000000000
χ488-88-8-88-88000000000000000000000000000000000000000000
χ498-8-888-8-88000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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