Finite Group Databasebeta

← Group #487016

Character table — Group #487016

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111222244488888881616161616161616161616161616161616161632323232
order12222244444244444422244444444444488888888
χ111111111111111111111111111111111111111111
χ21111111111111111111111-1-111-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1111-1-111-1-11-1-11111-1-1-1-1
χ41111111111111111111-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-11111
χ511111111111111-1-111-11-1-1111-1111-1-11-1-1-1-1-111-1-1
χ611111111111111-1-111-11-1-1-1-11-1-1-11-1-11-11111-1-111
χ711111111111111-1-111-1-11-111-1111-11-1-11-1-1-1-1-1-111
χ811111111111111-1-111-1-11-1-1-1-11-1-1-11-1-11111111-1-1
χ9111111-1-1-111-1-1-11111-11111-1-1-11-11-1-1-1111-1-11-11-1
χ10111111-1-1-111-1-1-11111-1111-11-1-1-111-1-1-11-1-111-11-11
χ11111111-1-1-111-1-1-11111-1-1-111-1111-1-11-11-111-1-1-11-11
χ12111111-1-1-111-1-1-11111-1-1-11-1111-11-11-11-1-1-1111-11-1
χ13111111-1-1-111-1-1-1-1-11111-1-11-1-111-1111-1-1-1-1111-1-11
χ14111111-1-1-111-1-1-1-1-11111-1-1-11-11-11111-1-111-1-1-111-1
χ15111111-1-1-111-1-1-1-1-1111-11-11-11-11-1-1-1111-1-111-111-1
χ16111111-1-1-111-1-1-1-1-1111-11-1-111-1-11-1-111111-1-11-1-11
χ17222222222222-2-200-2-20200002000-200-2000000000
χ18222222222222-2-200-2-20-20000-20002002000000000
χ19222222222-2-2-22-2002-200200002000-200-200000000
χ20222222222-2-2-22-2002-200-20000-2000200200000000
χ21222222222-2-2-2-2222-22-200-20000000020000000000
χ22222222222-2-2-2-22-2-2-22200200000000-20000000000
χ23222222-2-2-222-22200-2-2020000-2000-2002000000000
χ24222222-2-2-222-22200-2-20-200002000200-2000000000
χ25222222-2-2-2-2-222-222-22200-200000000-20000000000
χ26222222-2-2-2-2-222-2-2-2-22-20020000000020000000000
χ27222222-2-2-2-2-22-22002-20020000-2000200-200000000
χ28222222-2-2-2-2-22-22002-200-200002000-200200000000
χ294444-4-444-400000000000002-200-220000000000000
χ304444-4-444-40000000000000-22002-20000000000000
χ314444-4-4-4-4400000000000002200-2-20000000000000
χ324444-4-4-4-440000000000000-2-200220000000000000
χ3344-4-4-440004-40000000000000000000000002i2−2i20000
χ3444-4-4-440004-4000000000000000000000000−2i22i20000
χ3544-4-4-44000-4400000000000000000000002i2−2i2000000
χ3644-4-4-44000-440000000000000000000000−2i22i2000000
χ3788-8-88-800000000000000000000000000000000000
χ388-88-8008i−8i000000000000000000000000000000000
χ398-88-800−8i8i000000000000000000000000000000000
χ408-8-8800000000004-40000000000000000000000000
χ418-8-880000000000-440000000000000000000000000

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