Finite Group Databasebeta

← Group #175390

Character table — Group #175390

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222224444444444224444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-11-1-11-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-1-1-1-11-1-11-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-11-1-111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-11-1-111111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-11-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111
χ911111111-1-11-1-11-1-1111111-1-1-111-1-11-11-11-11-111-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-11-1-1111111-1-1-111-1-11-11-11-11-1-1-111-1-111-1-111-1-111
χ1111111111-1-11-1-11-1-1111111-1-1-1-1-111-1-1-1111-1111-1-1-1-11111-1-1-1-111
χ1211111111-1-11-1-11-1-1111111-1-1-1-1-111-1-1-1111-11-1-11111-1-1-1-11111-1-1
χ1311111111-1-11-1-11-1-11111-1-1-11111-1-111-11-1-1-1111-1-1-1-111-1-11111-1-1
χ1411111111-1-11-1-11-1-11111-1-1-11111-1-111-11-1-1-11-1-11111-1-111-1-1-1-111
χ1511111111-1-11-1-11-1-11111-1-1-111-1-111-111-1-111-111-1-111-1-1-1-111-1-111
χ1611111111-1-11-1-11-1-11111-1-1-111-1-111-111-1-111-1-1-111-1-11111-1-111-1-1
χ172222222222222-2-2-2-2-22-200-20022-2-2-200002000000000000000000
χ182222222222222-2-2-2-2-22-200-200-2-22220000-2000000000000000000
χ192222222222-2-2-22-2-2-2-2-22222-2-200000200-20000000000000000000
χ202222222222-2-2-22-2-2-2-2-22-2-222200000-20020000000000000000000
χ212222222222-2-2-2-22222-2-200-2000000002200-2-20000000000000000
χ222222222222-2-2-2-22222-2-200-200000000-2-200220000000000000000
χ2322222222-2-22-2-2-222-2-22-2002002222-20000-2000000000000000000
χ2422222222-2-22-2-2-222-2-22-200200-2-2-2-2200002000000000000000000
χ2522222222-2-2-222222-2-2-2222-22200000-200-20000000000000000000
χ2622222222-2-2-222222-2-2-22-2-2-2-2-20000020020000000000000000000
χ2722222222-2-2-222-2-2-222-2-2002000000002-200-220000000000000000
χ2822222222-2-2-222-2-2-222-2-200200000000-22002-20000000000000000
χ29444-44-4-4-400000400000-44-40000000000000000000000000000000
χ30444-44-4-4-400000400000-4-440000000000000000000000000000000
χ31444-44-4-4-400000-40000040004i−4i0000000000000000000000000000
χ32444-44-4-4-400000-4000004000−4i4i0000000000000000000000000000
χ3344-44-44-4-40040000000-4000000004-4000000000000000000000000
χ3444-44-44-4-40040000000-400000000-44000000000000000000000000
χ3544-44-44-4-400-4000000040000004i−4i00000000000000000000000000
χ3644-44-44-4-400-400000004000000−4i4i00000000000000000000000000
χ3744-4-4-4-4440000004-400000000000000000000000002i−2i2i−2i00000000
χ3844-4-4-4-4440000004-40000000000000000000000000−2i2i−2i2i00000000
χ3944-4-4-4-444000000-4400000000000000000000000002i−2i−2i2i00000000
χ4044-4-4-4-444000000-440000000000000000000000000−2i2i2i−2i00000000
χ414-444-4-4-444-40000000000000000000000000000000000000002i−2i2i−2i
χ424-444-4-4-444-4000000000000000000000000000000000000000−2i2i−2i2i
χ434-444-4-4-44-440000000000000000000000000000000000000002i−2i−2i2i
χ444-444-4-4-44-44000000000000000000000000000000000000000−2i2i2i−2i
χ454-44-4-444-4000000004-40000000000000000000000000002i2−2i2000000
χ464-44-4-444-4000000004-4000000000000000000000000000−2i22i2000000
χ474-44-4-444-400000000-44000000000000000000000000000002i2−2i20000
χ484-44-4-444-400000000-4400000000000000000000000000000−2i22i20000
χ494-4-444-44-40004-40000000000000000000000002i−2i2i−2i000000000000
χ504-4-444-44-40004-4000000000000000000000000−2i2i−2i2i000000000000
χ514-4-444-44-4000-440000000000000000000000002i−2i−2i2i000000000000
χ524-4-444-44-4000-44000000000000000000000000−2i2i2i−2i000000000000
χ538-8-8-888-88000000000000000000000000000000000000000000000

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