Finite Group Databasebeta

← Group #273689

Character table — Group #273689

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244448888888888888816161616161616161616161616161616161616161632
order12222244444444224444444444884444444488888888888882
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-111-1-11111-1-11-1-11111-1-111-1-1-1-1-1-1-1-11
χ4111111111111111111-1-111-1-1-1-111-1-11-1-1-1-1-11-1-1-1-111111111-1
χ51111111111111111-1-111111111-1-11-1-11-1111-1-1-1-1-1-1-1-1-11111-1
χ61111111111111111-1-1111111-1-1-1-11-1-11-1-1-1-1-1-1-1111111-1-1-1-11
χ71111111111111111-1-1-1-111-1-111-1-1-11-1-11111-111-1-11111-1-1-1-1-1
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-111111
χ911111111111111-1-11111-1-11111-1-1-111-111-1-1-1-1-1-1-111-1-111-1-11
χ1011111111111111-1-11111-1-111-1-1-1-1-111-11-111-1-1-111-1-111-1-111-1
χ1111111111111111-1-111-1-1-1-1-1-111-1-11-111-11-1-1-111-1-1-1-111-1-1111
χ1211111111111111-1-111-1-1-1-1-1-1-1-1-1-11-111-1-111-1111111-1-111-1-1-1
χ1311111111111111-1-1-1-111-1-1111111-1-1-1-1-11-1-111111-1-11111-1-1-1
χ1411111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-111111-1-111-1-1-1-1111
χ1511111111111111-1-1-1-1-1-1-1-1-1-1111111-1111-1-11-1-11111-1-1-1-111-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1111-1-1-1-1-1-11111-1-11
χ172222222222-2-2-2-2222200-2-200002200-200000-20000000000000
χ182222222222-2-2-2-222-2-200-2-20000-2-20020000020000000000000
χ192222222222-2-2-2-2-2-22200220000-2-200-20000020000000000000
χ202222222222-2-2-2-2-2-2-2-2002200002200200000-20000000000000
χ21222222-2-2-2-2-2-22200002-2002-2220000000-2000000000002-2000
χ22222222-2-2-2-2-2-22200002-2002-2-2-20000000200000000000-22000
χ23222222-2-2-2-2-2-2220000-2200-22220000000-200000000000-22000
χ24222222-2-2-2-2-2-2220000-2200-22-2-200000002000000000002-2000
χ252222-2-222-2-22-22-200002200-2-200000000002i−2i000000000002i−2i0
χ262222-2-222-2-22-22-200002200-2-20000000000−2i2i00000000000−2i2i0
χ272222-2-222-2-22-22-20000-2-2002200000000002i−2i00000000000−2i2i0
χ282222-2-222-2-22-22-20000-2-200220000000000−2i2i000000000002i−2i0
χ292222-2-2-2-2222-2-222-200002-20000000200-200002-200000000000
χ302222-2-2-2-2222-2-222-200002-20000000-20020000-2200000000000
χ312222-2-2-2-2222-2-22-220000-220000000200-20000-2200000000000
χ322222-2-2-2-2222-2-22-220000-220000000-200200002-200000000000
χ332222-2-2-2-222-222-22-2002-2-22-220000200-2000000000000000000
χ342222-2-2-2-222-222-22-200-22-222-20000-2002000000000000000000
χ352222-2-2-2-222-222-2-22002-22-2-220000-2002000000000000000000
χ362222-2-2-2-222-222-2-2200-222-22-20000200-2000000000000000000
χ37444444-4-4-4-444-4-4000000000000000000000000000000000000
χ384444-4-444-4-4-44-44000000000000000000000000000000000000
χ3944-4-44-44-44-400000000000000004-40000000000000000000000
χ4044-4-44-44-44-40000000000000000-440000000000000000000000
χ4144-4-44-4-44-440000000000000000000000000000000002i2−2i200000
χ4244-4-44-4-44-44000000000000000000000000000000000−2i22i200000
χ4344-4-4-444-4-4400000000000000000000000000000002i2−2i20000000
χ4444-4-4-444-4-440000000000000000000000000000000−2i22i20000000
χ4544-4-4-44-444-40000004-400000000000000000000000000000000
χ4644-4-4-44-444-4000000-4400000000000000000000000000000000
χ478-88-8000000000000000000004i−4i000000000000000000000000
χ488-88-800000000000000000000−4i4i000000000000000000000000
χ498-8-880000000000000000000000000000000000022−22000000000
χ508-8-8800000000000000000000000000000000000−2222000000000

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