Finite Group Databasebeta

← Group #501154

Character table — Group #501154

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size112224444444444888888888816161616161616161616161616161616161616163232
order12244222444444422224488882244444488888888888848
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-111-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111
χ4111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-111111111-1-1
χ51111111111-1-1111111-1-1-111-1-1-111-11-11-11-1111111-1-1-1-1-1-1
χ61111111111-1-1111111-1-1-111-1-1-1-11-1-1-11-11-1-1-1-1-1-1-1111111
χ71111111111-1-1111111-1-1-1-1-111-11-111-1-11-1111-1-1-1-11111-1-1
χ81111111111-1-1111111-1-1-1-1-111-1-1-11-1-1-11-11-1-11111-1-1-1-111
χ911111111-1-111111-1-1-11111111-11-1-11-1-1-111-1-111-1-111-1-1-11
χ1011111111-1-111111-1-1-11111111-1-1-1-1-1-1-1-11111-1-111-1-1111-1
χ1111111111-1-111111-1-1-1111-1-1-1-1-11111-111-1-1-1-1-1-111-1-111-11
χ1211111111-1-111111-1-1-1111-1-1-1-1-1-111-1-111-1-11111-1-111-1-11-1
χ1311111111-1-1-1-1111-1-1-1-1-1-111-1-111-1111-111-1-1-111-1-1-1-1111-1
χ1411111111-1-1-1-1111-1-1-1-1-1-111-1-11-1-11-11-111-111-1-11111-1-1-11
χ1511111111-1-1-1-1111-1-1-1-1-1-1-1-111111-1111-1-11-1-1-1-11111-1-11-1
χ1611111111-1-1-1-1111-1-1-1-1-1-1-1-1111-11-1-111-1-111111-1-1-1-111-11
χ17222222-2-22200-22-22-2-20000022000-200020-2000000000000
χ18222222-2-22200-22-22-2-200000-2-20002000-202000000000000
χ19222222-2-2-2-200-22-2-22200000220002000-20-2000000000000
χ20222222-2-2-2-200-22-2-22200000-2-2000-2000202000000000000
χ2122222-22-22200-2-22-22-2000220000-200020-20000000000000
χ2222222-22-22200-2-22-22-2000-2-200002000-2020000000000000
χ2322222-22-2-2-200-2-222-220002200002000-20-20000000000000
χ2422222-22-2-2-200-2-222-22000-2-20000-20002020000000000000
χ2522222-2-2222222-2-2-2-22-2-220000-2000020000000000000000
χ2622222-2-2222-2-22-2-2-2-2222-2000020000-20000000000000000
χ2722222-2-22-2-2222-2-222-2-2-22000020000-20000000000000000
χ2822222-2-22-2-2-2-22-2-222-222-20000-2000020000000000000000
χ29222-2-222-200222-2-20002-2-200000000000000002i−2i002i−2i0000
χ30222-2-222-200222-2-20002-2-20000000000000000−2i2i00−2i2i0000
χ31222-2-222-200-2-22-2-2000-22200000000000000002i−2i00−2i2i0000
χ32222-2-222-200-2-22-2-2000-2220000000000000000−2i2i002i−2i0000
χ33222-2-2-2-2-20022222000-22-20000000000000000002-2002-200
χ34222-2-2-2-2-20022222000-22-2000000000000000000-2200-2200
χ35222-2-2-2-2-200-2-22220002-220000000000000000002-200-2200
χ36222-2-2-2-2-200-2-22220002-22000000000000000000-22002-200
χ37444-4-44-440000-4-4400000000000000000000000000000000
χ38444-4-4-4440000-44-400000000000000000000000000000000
χ3944-4-440004-40000000000000000200-2000002-20000000000
χ4044-4-440004-40000000000000000-200200000-220000000000
χ4144-4-44000-440000000000000000200-200000-220000000000
χ4244-4-44000-440000000000000000-2002000002-20000000000
χ4388-88-8000000000000000000000000000000000000000000
χ448-8000000004-40000000002i2−2i22i2−2i20000000000000000000000
χ458-8000000004-4000000000−2i22i2−2i22i20000000000000000000000
χ468-800000000-440000000002i2−2i2−2i22i20000000000000000000000
χ478-800000000-44000000000−2i22i22i2−2i20000000000000000000000

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