Finite Group Databasebeta

← Group #177725

Character table — Group #177725

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ61111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1
χ911111111111-1-1111-1-1-111-1-11-11-11-11-11-111-1-111-1-111-1-11-1
χ1011111111111-1-1111-1-1-111-1-11-11-11-11-11-1-1-111-1-111-1-111-11
χ1111111111111-1-1111-1-1-111-1-1-11-111-1-11-1111-1-111-1-1-1-111-11
χ1211111111111-1-1111-1-1-111-1-1-11-111-1-11-11-1-111-1-11111-1-11-1
χ1311111111111-1-1111-1-1-1-1-1111-1-11-111-1-1111-1-1-1-11111-1-1-11
χ1411111111111-1-1111-1-1-1-1-1111-1-11-111-1-11-1-11111-1-1-1-1111-1
χ1511111111111-1-1111-1-1-1-1-111-111-1-11-111-111-1-1-1-111-1-1111-1
χ1611111111111-1-1111-1-1-1-1-111-111-1-11-111-1-1-11111-1-111-1-1-11
χ17222222222-2-2222-2-22-2-2000000220000-2-200000000000000
χ18222222222-2-2222-2-22-2-2000000-2-200002200000000000000
χ19222222222-2-2-2-22-2-2-2220000002-20000-2200000000000000
χ20222222222-2-2-2-22-2-2-222000000-2200002-200000000000000
χ2122222222-22-222-22-2-22-20000220000-2-20000000000000000
χ2222222222-22-222-22-2-22-20000-2-20000220000000000000000
χ2322222222-22-2-2-2-22-22-2200002-20000-220000000000000000
χ2422222222-22-2-2-2-22-22-220000-2200002-20000000000000000
χ2522222222-2-2222-2-22-2-2222220000-2-2000000000000000000
χ2622222222-2-2222-2-22-2-22-2-2-2-2000022000000000000000000
χ2722222222-2-22-2-2-2-2222-222-2-20000-22000000000000000000
χ2822222222-2-22-2-2-2-2222-2-2-22200002-2000000000000000000
χ29444-4-44-4-40040000-4000004-4000000000000000000000000
χ30444-4-44-4-40040000-400000-44000000000000000000000000
χ31444-4-44-4-400-4000040004i−4i00000000000000000000000000
χ32444-4-44-4-400-400004000−4i4i00000000000000000000000000
χ3344-44-4-44-4040000-40000000000000000000022−220000000000
χ3444-44-4-44-4040000-400000000000000000000−22220000000000
χ3544-44-4-44-40-4000040000000000000000002i2−2i2000000000000
χ3644-44-4-44-40-400004000000000000000000−2i22i2000000000000
χ374-44-44-44-440000-40000000000000000000000022−2200000000
χ384-44-44-44-440000-400000000000000000000000−222200000000
χ394-44-44-44-4-40000400000000000000000000000002i2−2i2000000
χ404-44-44-44-4-4000040000000000000000000000000−2i22i2000000
χ414-4-4-4-44440004-400000000000000000000000000002-22-200
χ424-4-4-4-44440004-40000000000000000000000000000-22-2200
χ434-4-4-4-4444000-4400000000000000000000000000002-2-2200
χ444-4-4-4-4444000-440000000000000000000000000000-222-200
χ4588-8-88-8-88000000000000000000000000000000000000000
χ468-888-8-8-88000000000000000000000000000000000000000
χ478-8-8888-8-8000000000000000000000000000000000000000

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