Finite Group Databasebeta

← Group #175504

Character table — Group #175504

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444444444444244444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111-1-11-1-1111-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-111-1-11-1-1-1-11-1-1-1-1-1-1-1-111111111
χ5111111111111111111111-1-11111-1-11-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-11111-1-11-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-1-11-11111-11-111-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-1-11-111-1-1-11-1-1-111111111-1-1-1-1
χ911111111-1-111-1-11-1-1111-11111-1-1-1-11-1-111111-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-111-1-11-1-1111-11111-1-1-1-11-1-111-1-11-1-111-1-111-1-111-1-111
χ1111111111-1-111-1-11-1-1111-111-1-111-1-1-11-1-1-111111-1-111-1-1-1-111-1-111
χ1211111111-1-111-1-11-1-1111-111-1-111-1-1-11-1-1-1-1-111111-1-11111-1-111-1-1
χ1311111111-1-111-1-11-1-1111-1-1-111-1-111111-1-111-11-1-1-1-1-11111-1-1-1-111
χ1411111111-1-111-1-11-1-1111-1-1-111-1-111111-1-1-1-1-11-11111-1-1-1-11111-1-1
χ1511111111-1-111-1-11-1-1111-1-1-1-1-11111-1-111111-1-11-1-1-1-111-1-11111-1-1
χ1611111111-1-111-1-11-1-1111-1-1-1-1-11111-1-1111-1-1-1-111111-1-111-1-1-1-111
χ1722222222222-222-2-2-22-2-2-2220000-2-20020000-20000000000000000
χ1822222222222-222-2-2-22-2-2-2-2-200002200-2000020000000000000000
χ192222222222-22-2-2-222-22-2-2000000000202-2000-2000000000000000
χ202222222222-22-2-2-222-22-2-2000000000-20-220002000000000000000
χ212222222222-2-2-2-22-2-2-2-2220022-2-200-200000000200000000000000
χ222222222222-2-2-2-22-2-2-2-22200-2-22200200000000-200000000000000
χ2322222222-2-22-2-2-2-2222-2-222200002200-20000-20000000000000000
χ2422222222-2-22-2-2-2-2222-2-22-2-20000-2-2002000020000000000000000
χ2522222222-2-2-2222-2-2-2-22-2200000000020-22000-2000000000000000
χ2622222222-2-2-2222-2-2-2-22-22000000000-202-20002000000000000000
χ2722222222-2-2-2-222222-2-22-200222200-200000000-200000000000000
χ2822222222-2-2-2-222222-2-22-200-2-2-2-200200000000200000000000000
χ29444-4-4-44-400000040000-4000004-400000000000000000000000000
χ30444-4-4-44-400000040000-400000-4400000000000000000000000000
χ31444-4-4-44-4000000-4000040004i−4i0000000000000000000000000000
χ32444-4-4-44-4000000-400004000−4i4i0000000000000000000000000000
χ3344-444-4-4-4004000000-40004-4000000000000000000000000000000
χ3444-444-4-4-4004000000-4000-44000000000000000000000000000000
χ3544-444-4-4-400-400000040000000004i−4i000000000000000000000000
χ3644-444-4-4-400-40000004000000000−4i4i000000000000000000000000
χ3744-4-4-44-4400000004-4000000000000000000000000000000002i−2i2i−2i
χ3844-4-4-44-4400000004-400000000000000000000000000000000−2i2i−2i2i
χ3944-4-4-44-440000000-44000000000000000000000000000000002i−2i−2i2i
χ4044-4-4-44-440000000-4400000000000000000000000000000000−2i2i2i−2i
χ414-444-44-4-40004000000-40000000000000000000000000022−22000000
χ424-444-44-4-40004000000-400000000000000000000000000−2222000000
χ434-444-44-4-4000-4000000400000000000000000000000000002i2−2i20000
χ444-444-44-4-4000-400000040000000000000000000000000000−2i22i20000
χ454-44-44-4-444i−4i00000000000000000000000000000002-22i−2i00000000
χ464-44-44-4-444i−4i0000000000000000000000000000000-22−2i2i00000000
χ474-44-44-4-44−4i4i00000000000000000000000000000002-2−2i2i00000000
χ484-44-44-4-44−4i4i0000000000000000000000000000000-222i−2i00000000
χ494-4-4-4444-400004i−4i000000000000000000002-20002i−2i000000000000
χ504-4-4-4444-400004i−4i00000000000000000000-22000−2i2i000000000000
χ514-4-4-4444-40000−4i4i000000000000000000002-2000−2i2i000000000000
χ524-4-4-4444-40000−4i4i00000000000000000000-220002i−2i000000000000
χ538-8-88-8-888000000000000000000000000000000000000000000000

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