Finite Group Databasebeta

← Group #143021

Character table — Group #143021

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size11112222444448888161616161616161616161616161616161616161632323232
order12222244224442444224444448888888888884488
χ111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-11111-1-1-1-1-11-1-1
χ31111111111111111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1
χ41111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111
χ511111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1111
χ711111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111
χ811111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ92222222222-2-22-2-22-2002200000000000000000-200
χ102222222222-2-22-2-22-200-2-200000000000000000200
χ1122222222-2-2222-22-2-200000022000000000000-2000
χ1222222222-2-2222-22-2-2000000-2-20000000000002000
χ1322222222-2-2-2-222-2-220000000022-2-2000000000000
χ1422222222-2-2-2-222-2-2200000000-2-222000000000000
χ15222222-2-22222-22-2-2-200000000000000000000002i−2i
χ16222222-2-22222-22-2-2-20000000000000000000000−2i2i
χ17222222-2-222-2-2-2-22-22000000000000000022-2-20000
χ18222222-2-222-2-2-2-22-220000000000000000-2-2220000
χ19222222-2-2-2-222-2-2-22200000000000022-2-200000000
χ20222222-2-2-2-222-2-2-222000000000000-2-22200000000
χ21222222-2-2-2-2-2-2-2222-22-2002-2000000000000000000
χ22222222-2-2-2-2-2-2-2222-2-2200-22000000000000000000
χ234444-4-4440000-400002200-2-2000000000000000000
χ244444-4-4440000-40000-2-20022000000000000000000
χ254444-4-4-4-40000400002-200-22000000000000000000
χ264444-4-4-4-4000040000-22002-2000000000000000000
χ274-44-4004-4000000000002-2002i−2i2i−2i00000000000000
χ284-44-4004-4000000000002-200−2i2i−2i2i00000000000000
χ294-44-4004-400000000000-22002i−2i−2i2i00000000000000
χ304-44-4004-400000000000-2200−2i2i2i−2i00000000000000
χ314-4-444-400004-400000000000000000002i2−2i200000000
χ324-4-444-400004-40000000000000000000−2i22i200000000
χ334-4-444-40000-44000000000000000002i2−2i20000000000
χ344-4-444-40000-4400000000000000000−2i22i20000000000
χ354-4-44-44004-4000000000000000000000000022−220000
χ364-4-44-44004-40000000000000000000000000−22220000
χ374-4-44-4400-440000000000000000000000022−22000000
χ384-4-44-4400-4400000000000000000000000−2222000000
χ3988-8-80000000000000000000000022−22000000000000
χ4088-8-800000000000000000000000−2222000000000000
χ418-88-800-88000000000000000000000000000000000

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