Finite Group Databasebeta

← Group #177718

Character table — Group #177718

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-1-1-11-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-11-1-11-11-1-11-11111-1-1-1-11111-1-1
χ61111111111111111111-1-1-1-11-1-11-11-1-11-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-1-11-1-11-11-1-111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-11-1-11-11-1-11-1-1-1-111111111-1-1
χ911111111-1-1111111-1-1-111-1-11-1-1-11-1111-111-1-111-1-111-1-11-1
χ1011111111-1-1111111-1-1-111-1-11-1-1-11-1111-1-1-111-1-111-1-111-11
χ1111111111-1-1111111-1-1-111-1-1-11-11-11-11-1111-1-111-1-1-1-111-11
χ1211111111-1-1111111-1-1-111-1-1-11-11-11-11-11-1-111-1-11111-1-11-1
χ1311111111-1-1111111-1-1-1-1-111111-1-1-1-1-11111-1-1-1-11111-1-1-11
χ1411111111-1-1111111-1-1-1-1-111111-1-1-1-1-111-1-11111-1-1-1-1111-1
χ1511111111-1-1111111-1-1-1-1-111-1-111111-1-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1111111-1-1-1-1-111-1-111111-1-1-1-1-11111-1-111-1-1-11
χ1722222222222-2-22-2-22-2-200000200-20200-200000000000000
χ1822222222222-2-22-2-22-2-200000-20020-200200000000000000
χ192222222222-22-2-22-2-22-20000200-20200-2000000000000000
χ202222222222-22-2-22-2-22-20000-20020-2002000000000000000
χ212222222222-2-22-2-22-2-22222200-20000-20000000000000000
χ222222222222-2-22-2-22-2-22-2-2-2-2002000020000000000000000
χ2322222222-2-22-2-22-2-2-2220000020020-200-200000000000000
χ2422222222-2-22-2-22-2-2-22200000-200-20200200000000000000
χ2522222222-2-2-22-2-22-22-22000020020-200-2000000000000000
χ2622222222-2-2-22-2-22-22-220000-200-202002000000000000000
χ2722222222-2-2-2-22-2-2222-222-2-20020000-20000000000000000
χ2822222222-2-2-2-22-2-2222-2-2-22200-2000020000000000000000
χ29444-4-4-4-440000400-4000004-4000000000000000000000000
χ30444-4-4-4-440000400-400000-44000000000000000000000000
χ31444-4-4-4-440000-40040004i−4i00000000000000000000000000
χ32444-4-4-4-440000-4004000−4i4i00000000000000000000000000
χ3344-44-44-4-4000400-40000000000000000000022−220000000000
χ3444-44-44-4-4000400-400000000000000000000−22220000000000
χ3544-44-44-4-4000-40040000000000000000002i2−2i2000000000000
χ3644-44-44-4-4000-4004000000000000000000−2i22i2000000000000
χ374-444-4-44-400400-4000000000000000000000000022−22000000
χ384-444-4-44-400400-40000000000000000000000000−2222000000
χ394-444-4-44-400-4004000000000000000000000002i2−2i200000000
χ404-444-4-44-400-400400000000000000000000000−2i22i200000000
χ414-4-444-4-444-400000000000000000000000000000002i−2i2i−2i00
χ424-4-444-4-444-40000000000000000000000000000000−2i2i−2i2i00
χ434-4-444-4-44-4400000000000000000000000000000002i−2i−2i2i00
χ444-4-444-4-44-440000000000000000000000000000000−2i2i2i−2i00
χ4588-8-88-88-8000000000000000000000000000000000000000
χ468-88-888-8-8000000000000000000000000000000000000000
χ478-8-8-8-8888000000000000000000000000000000000000000

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