Finite Group Databasebeta

← Group #175213

Character table — Group #175213

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222224444444444222244444222224444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1111-1-1-11111-1-111-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-1111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111
χ511111111111111111111-1-1111-1-111-111111-1-1-11-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1111-1-111-1-1-1-1-11-1-1-11-1-111111111-1-1-1-1
χ711111111111111111111-1-1-1-11-1-1-1-111111-11-1-1-1111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-11-1-1-111-1-1-1-111111111
χ911111111-1-111-1-1-1-111111111-1-1-1-1-1111-1-1111-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-111-1-1-1-111111111-1-1-1-1-11-1-111111-1-1-1-1-1-111-1-111-1-111
χ1111111111-1-111-1-1-1-1111111-1-1-1-1-111-111-1-1-1-11-1111-1-11111-1-1-1-111
χ1211111111-1-111-1-1-1-1111111-1-1-1-1-111-1-1-111-1-11-111111-1-1-1-11111-1-1
χ1311111111-1-111-1-1-1-11111-1-111-111-1-1-111-1-11-1-11-111-1-111-1-11111-1-1
χ1411111111-1-111-1-1-1-11111-1-111-111-1-1-1-1-1111-1-11-11111-1-111-1-1-1-111
χ1511111111-1-111-1-1-1-11111-1-1-1-1-11111111-1-1-11-111-1-111-1-1-1-111-1-111
χ1611111111-1-111-1-1-1-11111-1-1-1-1-111111-1-111-11-111-1-1-1-11111-1-111-1-1
χ1722222222222-2-2-2-2-2-2-22-20022200-2-200000-2000200000000000000
χ1822222222222-2-2-2-2-2-2-22-200-2-220022000002000-200000000000000
χ192222222222-2222-2-2-2-2-222200-2-2-2000000000-22000000000000000
χ202222222222-2222-2-2-2-2-22-2-200-2220000000002-2000000000000000
χ212222222222-2-2-2-22222-2-20000-20000200000-20002-2000000000000
χ222222222222-2-2-2-22222-2-20000-20000-2000002000-22000000000000
χ2322222222-2-22-22222-2-22-20022-2002200000-2000-200000000000000
χ2422222222-2-22-22222-2-22-200-2-2-200-2-2000002000200000000000000
χ2522222222-2-2-22-2-222-2-2-222200222000000000-2-2000000000000000
χ2622222222-2-2-22-2-222-2-2-22-2-2002-2-200000000022000000000000000
χ2722222222-2-2-2-222-2-222-2-2000020000200000-2000-22000000000000
χ2822222222-2-2-2-222-2-222-2-2000020000-20000020002-2000000000000
χ29444-44-4-4-400040000000-4000004i−4i00000000000000000000000000
χ30444-44-4-4-400040000000-400000−4i4i00000000000000000000000000
χ31444-44-4-4-4000-4000000044-40000000000000000000000000000000
χ32444-44-4-4-4000-400000004-440000000000000000000000000000000
χ3344-44-44-4-40040000000-4000000004i−4i000000000000000000000000
χ3444-44-44-4-40040000000-400000000−4i4i000000000000000000000000
χ3544-44-44-4-400-4000000040004-400000000000000000000000000000
χ3644-44-44-4-400-400000004000-4400000000000000000000000000000
χ3744-4-4-4-4440000004-400000000000000000000000002-22-200000000
χ3844-4-4-4-4440000004-40000000000000000000000000-22-2200000000
χ3944-4-4-4-444000000-4400000000000000000000000002-2-2200000000
χ4044-4-4-4-444000000-440000000000000000000000000-222-200000000
χ414-44-4-44-44000000004-4000000000000000000000000000000022−2200
χ424-44-4-44-44000000004-40000000000000000000000000000000−222200
χ434-44-4-44-4400000000-4400000000000000000000000000000000022−22
χ444-44-4-44-4400000000-44000000000000000000000000000000000−2222
χ454-4-444-4-4400004-400000000000000002-22-20000000000000000000
χ464-4-444-4-4400004-40000000000000000-22-220000000000000000000
χ474-4-444-4-440000-4400000000000000002-2-220000000000000000000
χ484-4-444-4-440000-440000000000000000-222-20000000000000000000
χ494-4-4-4444-44-4000000000000000000000000000000000002-22-20000
χ504-4-4-4444-44-400000000000000000000000000000000000-22-220000
χ514-4-4-4444-4-44000000000000000000000000000000000002-2-220000
χ524-4-4-4444-4-4400000000000000000000000000000000000-222-20000
χ538-888-8-88-8000000000000000000000000000000000000000000000

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