Finite Group Databasebeta

← Group #263151

Character table — Group #263151

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222224444488888881616161616161616161616161616161616161616161616161616
order12222244444444488244488822244444444488888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111111111
χ511111111111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ611111111111111111-1-1-1-111111-1-1-1-111-1-111-111-1-1-11111-1-1-1-1
χ711111111111111111-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1
χ811111111111111111-1-1-1-1111-1-1-1-111-1-11111-111-1-1-1-1-1-1-11111
χ9111111111111111-1-11111-1-1-111111-1-1-11-1-1-1-111-1-1-111-1-111-1-1
χ10111111111111111-1-11111-1-1-111-1-11-1-1-11-111-1-1-1-111-1-111-1-111
χ11111111111111111-1-11111-1-1-1-1-111-1111-11-1-1-111-1-1-1-1-111-1-111
χ12111111111111111-1-11111-1-1-1-1-1-1-1-1111-1111-1-1-1-11111-1-111-1-1
χ13111111111111111-1-1-1-1-1-1-1-1-11111-11-1-1-11111-1-11-1-1-1-11111-1-1
χ14111111111111111-1-1-1-1-1-1-1-1-111-1-1-11-1-1-11-1-111111111-1-1-1-111
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1111-1111-1111-1-11-1-111-1-1-1-111
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1111111-1-11111-1-1
χ172222222-2222-2-2-2-22222-2-2-2-22000000000000200-20000000000
χ182222222-2222-2-2-2-222-2-222-2-22000000000000-20020000000000
χ192222222-2222-2-2-2-2-2-222-2-222-2000000000000-20020000000000
χ202222222-2222-2-2-2-2-2-2-2-22222-2000000000000200-20000000000
χ212222-2-2222-2-22-2-22002-22-2000002-20000000002-200000000000
χ222222-2-2222-2-22-2-22002-22-200000-22000000000-2200000000000
χ232222-2-2222-2-22-2-2200-22-22000002-2000000000-2200000000000
χ242222-2-2222-2-22-2-2200-22-2200000-220000000002-200000000000
χ252222-2-22-22-2-2-222-2002-2-2200000000000002i−2i00002i−2i00000000
χ262222-2-22-22-2-2-222-2002-2-220000000000000−2i2i0000−2i2i00000000
χ272222-2-22-22-2-2-222-200-222-200000000000002i−2i0000−2i2i00000000
χ282222-2-22-22-2-2-222-200-222-20000000000000−2i2i00002i−2i00000000
χ292222-2-2-22-2222-22-22200002-2-200002200-2-20000000000000000
χ302222-2-2-22-2222-22-22200002-2-20000-2-200220000000000000000
χ312222-2-2-22-2222-22-2-2-20000-22200002-200-220000000000000000
χ322222-2-2-22-2222-22-2-2-20000-2220000-22002-20000000000000000
χ332222-2-2-2-2-222-22-22220000-22-22-200002-2000000000000000000
χ342222-2-2-2-2-222-22-22220000-22-2-220000-22000000000000000000
χ352222-2-2-2-2-222-22-22-2-200002-222-20000-22000000000000000000
χ362222-2-2-2-2-222-22-22-2-200002-22-2200002-2000000000000000000
χ37444444-44-4-4-444-4-400000000000000000000000000000000000
χ38444444-4-4-4-4-4-4-44400000000000000000000000000000000000
χ3944-4-44-440-44-40000000000000000000000000000000000022−2200
χ4044-4-44-440-44-400000000000000000000000000000000000−222200
χ4144-4-44-4-404-440000000000000000000000000000000002i2−2i20000
χ4244-4-44-4-404-44000000000000000000000000000000000−2i22i20000
χ4344-4-4-4440-4-4400000000000000000000000000000002i2−2i2000000
χ4444-4-4-4440-4-440000000000000000000000000000000−2i22i2000000
χ4544-4-4-44-4044-400000000000000000000000000000000000002i2−2i2
χ4644-4-4-44-4044-40000000000000000000000000000000000000−2i22i2
χ478-88-80008000-800000000000000000000000000000000000000
χ488-88-8000-8000800000000000000000000000000000000000000
χ498-8-880000000000042−42000000000000000000000000000000000
χ508-8-8800000000000−4242000000000000000000000000000000000

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