Finite Group Databasebeta

← Group #178079

Character table — Group #178079

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222224444444444444424444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-1-11-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-11-111-111-1-11-1-111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-11-1-1-1-111-1-11-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1111-1-1-11-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-11-1-1-1-1-11-1-111-1-111111111-1-1-1-1
χ911111111-1-1111-1-1111-1-111-1-11111-1-1-1111-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-1111-1-1111-1-111-1-111-1-1-1-1-1111-1-111-1-111-1-111-1-111
χ1111111111-1-1111-1-1111-1-111-1-1-1-111-111-11-111-1-111-1-1-1-111-1-111
χ1211111111-1-1111-1-1111-1-111-1-1-1-1-1-1-111-11-11111-1-11111-1-111-1-1
χ1311111111-1-1111-1-1111-1-1-1-1111-1111-1-1-1-1111-1-1-1-11111-1-1-1-111
χ1411111111-1-1111-1-1111-1-1-1-1111-1-1-11-1-1-1-11111111-1-1-1-11111-1-1
χ1511111111-1-1111-1-1111-1-1-1-111-11111111-1-1-1-1-1-1-1-111-1-11111-1-1
χ1611111111-1-1111-1-1111-1-1-1-111-11-1-11111-1-1-1-11111-1-111-1-1-1-111
χ1722222222222-2-2-2-22-2-22-200000200000-2002-200000000000000
χ1822222222222-2-2-2-22-2-22-200000-200000200-2200000000000000
χ192222222222-22-2-2-2-22-2-220000200002-200-20000000000000000
χ202222222222-22-2-2-2-22-2-220000-20000-220020000000000000000
χ212222222222-2-2222-2-22-2-222-2-200002000-200000000000000000
χ222222222222-2-2222-2-22-2-2-2-2220000-2000200000000000000000
χ2322222222-2-22-2-2222-2-2-2200000200000-200-2200000000000000
χ2422222222-2-22-2-2222-2-2-2200000-2000002002-200000000000000
χ2522222222-2-2-22-222-22-22-2000020000-2200-20000000000000000
χ2622222222-2-2-22-222-22-22-20000-200002-20020000000000000000
χ2722222222-2-2-2-22-2-2-2-222222220000-2000-200000000000000000
χ2822222222-2-2-2-22-2-2-2-2222-2-2-2-200002000200000000000000000
χ29444-4-4-44-40040000-4000000000000000000000000000022−220000
χ30444-4-4-44-40040000-40000000000000000000000000000−22220000
χ31444-4-4-44-400-400004000000000000000000000000002i2−2i2000000
χ32444-4-4-44-400-40000400000000000000000000000000−2i22i2000000
χ3344-444-4-4-400040000-40000000000000000000000000000022−2200
χ3444-444-4-4-400040000-400000000000000000000000000000−222200
χ3544-444-4-4-4000-40000400000000000000000000000000000002i2−2i2
χ3644-444-4-4-4000-4000040000000000000000000000000000000−2i22i2
χ3744-4-4-44-444-400000000000000000000000000002i−2i2i−2i00000000
χ3844-4-4-44-444-40000000000000000000000000000−2i2i−2i2i00000000
χ3944-4-4-44-44-4400000000000000000000000000002i−2i−2i2i00000000
χ4044-4-4-44-44-440000000000000000000000000000−2i2i2i−2i00000000
χ414-44-44-4-44000004-4000000000002i−2i000000002i−2i000000000000
χ424-44-44-4-44000004-400000000000−2i2i00000000−2i2i000000000000
χ434-44-44-4-4400000-44000000000002i−2i00000000−2i2i000000000000
χ444-44-44-4-4400000-4400000000000−2i2i000000002i−2i000000000000
χ454-4-44-4-444000040000-4004i−4i0000000000000000000000000000
χ464-4-44-4-444000040000-400−4i4i0000000000000000000000000000
χ474-4-44-4-4440000-40000400004-400000000000000000000000000
χ484-4-44-4-4440000-4000040000-4400000000000000000000000000
χ498-888-88-8-8000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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