Finite Group Databasebeta

← Group #508247

Character table — Group #508247

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111224444444488888881616161616161616161616161616323232323232
order12222244444444444444424444444444444888888
χ111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-1-11111-1-1-1-1-1-1
χ3111111111111111111111-11-1-1111-111-1-1-1-111-1-1-1-1
χ4111111111111111111111-11-1-1-1-11-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-11-1-1-111-111111-1-1-1-111-1-1
χ611111111111111111-1-1-1-11-1-1-1-1-1-11-1-111-1-111-1-111
χ711111111111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111
χ811111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ9111111111-1-1111-1-1-111-1-1111-11-1-1-11-11-11-11-11-11-1
χ10111111111-1-1111-1-1-111-1-1111-1-11-1-1-111-11-1-11-11-11
χ11111111111-1-1111-1-1-111-1-1-11-111-1-111-1-11-111-1-11-11
χ12111111111-1-1111-1-1-111-1-1-11-11-11-11-11-11-11-111-11-1
χ13111111111-1-1111-1-1-1-1-1111-1-111-11-11-11-1-11-111-1-11
χ14111111111-1-1111-1-1-1-1-1111-1-11-111-1-111-1-111-1-111-1
χ15111111111-1-1111-1-1-1-1-111-1-11-11-1111-1-111-1-11-111-1
χ16111111111-1-1111-1-1-1-1-111-1-11-1-1111-11-111-11-11-1-11
χ172222222-2-2222-2-22-2-20000002200000000-2-2000000
χ182222222-2-2222-2-22-2-2000000-2-20000000022000000
χ192222222-2-2-2-22-2-2-2220000002-200000000-22000000
χ202222222-2-2-2-22-2-2-222000000-22000000002-2000000
χ21222222-22-222-22-2-22-200002000000200-2-200000000
χ22222222-22-222-22-2-22-20000-2000000-2002200000000
χ23222222-22-2-2-2-22-22-2200002000000-200-2200000000
χ24222222-22-2-2-2-22-22-220000-20000002002-200000000
χ25222222-2-2222-2-22-2-2222220-20000-20000000000000
χ26222222-2-2222-2-22-2-22-2-2-2-202000020000000000000
χ27222222-2-22-2-2-2-2222-222-2-20-2000020000000000000
χ28222222-2-22-2-2-2-2222-2-2-222020000-20000000000000
χ294444-4-40004-4000000000000002200-2-20000000000
χ304444-4-40004-400000000000000-2-200220000000000
χ314444-4-4000-44000000000000002-200-220000000000
χ324444-4-4000-4400000000000000-22002-20000000000
χ3344-4-44-444-400-4-44000000000000000000000000000
χ3444-4-44-44-4400-44-4000000000000000000000000000
χ3544-4-44-4-444004-4-4000000000000000000000000000
χ3644-4-44-4-4-4-400444000000000000000000000000000
χ3788-8-8-8800000000000000000000000000000000000
χ388-88-800000000000004-40000000000000000000000
χ398-88-80000000000000-440000000000000000000000
χ408-8-880000000000000004i−4i00000000000000000000
χ418-8-88000000000000000−4i4i00000000000000000000

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