Finite Group Databasebeta

← Group #179180

Character table — Group #179180

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-111-1-11-1-1-111-1-11-11111-1-1-1-11111-1-1
χ611111111111111111-1-111-1-11-1-1-111-1-11-1-1-1-1-11111-1-1-1-111
χ711111111111111111-1-111-1-1-11-1-1-1-111-111111-1-1-1-1-1-1-1-111
χ811111111111111111-1-111-1-1-11-1-1-1-111-11-1-1-1-111111111-1-1
χ911111111111-1-1111-111-1-1-1-11-11-11-111-1-111-1-111-1-111-1-11-1
χ1011111111111-1-1111-111-1-1-1-11-11-11-111-1-1-1-111-1-111-1-111-11
χ1111111111111-1-1111-111-1-1-1-1-111-1-11-1-11111-1-111-1-1-1-111-11
χ1211111111111-1-1111-111-1-1-1-1-111-1-11-1-111-1-111-1-11111-1-11-1
χ1311111111111-1-1111-1-1-1-1-11111-111-1-1-1-1111-1-1-1-11111-1-1-11
χ1411111111111-1-1111-1-1-1-1-11111-111-1-1-1-11-1-11111-1-1-1-1111-1
χ1511111111111-1-1111-1-1-1-1-111-1-1-11-11111-111-1-1-1-111-1-1111-1
χ1611111111111-1-1111-1-1-1-1-111-1-1-11-11111-1-1-11111-1-111-1-1-11
χ17222222222-2-2222-2-2-2002-2000200002-20-200000000000000
χ18222222222-2-2222-2-2-2002-2000-20000-220200000000000000
χ19222222222-2-2-2-22-2-2200-2200020000-220-200000000000000
χ20222222222-2-2-2-22-2-2200-22000-200002-20200000000000000
χ2122222222-22-222-22-2222-2-2-2-200-2200000000000000000000
χ2222222222-22-222-22-22-2-2-2-222002-200000000000000000000
χ2322222222-22-2-2-2-22-2-222222200-2-200000000000000000000
χ2422222222-22-2-2-2-22-2-2-2-222-2-2002200000000000000000000
χ2522222222-2-2222-2-22-200-22002000-2200-2000000000000000
χ2622222222-2-2222-2-22-200-2200-20002-2002000000000000000
χ2722222222-2-22-2-2-2-222002-2002000-2-2002000000000000000
χ2822222222-2-22-2-2-2-222002-200-20002200-2000000000000000
χ29444-4-4-4-440004i−4i000000000000000000002-22i−2i0000000000
χ30444-4-4-4-440004i−4i00000000000000000000-22−2i2i0000000000
χ31444-4-4-4-44000−4i4i000000000000000000002-2−2i2i0000000000
χ32444-4-4-4-44000−4i4i00000000000000000000-222i−2i0000000000
χ3344-444-4-4-40040000-4000000000000000000000000022−220000
χ3444-444-4-4-40040000-40000000000000000000000000−22220000
χ3544-444-4-4-400-4000040000000000000000000000000002i2−2i200
χ3644-444-4-4-400-400004000000000000000000000000000−2i22i200
χ3744-4-4-444-4040000-4004-40000000000000000000000000000
χ3844-4-4-444-4040000-400-440000000000000000000000000000
χ3944-4-4-444-40-4000040000004i−4i000000000000000000000000
χ4044-4-4-444-40-400004000000−4i4i000000000000000000000000
χ414-444-44-4-440000-40000000000000000000000022−2200000000
χ424-444-44-4-440000-400000000000000000000000−222200000000
χ434-444-44-4-4-40000400000000000000000000000002i2−2i2000000
χ444-444-44-4-4-4000040000000000000000000000000−2i22i2000000
χ458-88-88-88-8000000000000000000000000000000000000000
χ468-8-88-8-888000000000000000000000000000000000000000
χ478-8-8-888-88000000000000000000000000000000000000000

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