Finite Group Databasebeta

← Group #143504

Character table — Group #143504

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122224444444444488888888816161616161616163232323232323232
order12224444244448888888161616161616161688881616161624444488
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-111
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-111-111-1-1
χ511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-111-11-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11-111
χ92222222222222-2-2-2-2-2-2-20000000022-2-2000000000000
χ102222222222222-2-2-2-2-2-2-200000000-2-222000000000000
χ1122222222-2-22-2-22222-2-2-22222-2-2-2-20000000000000000
χ1222222222-2-22-2-22222-2-2-2-2-2-2-222220000000000000000
χ1322222222-2-22-2-2-2-2-2-222200000000000022-2-200000000
χ1422222222-2-22-2-2-2-2-2-2222000000000000-2-22200000000
χ15222222-2-222-2-2-222-2-2-2-2200000000000000000000002i−2i
χ16222222-2-222-2-2-222-2-2-2-220000000000000000000000−2i2i
χ17222222-2-222-2-2-2-2-22222-2000000000000000000200-200
χ18222222-2-222-2-2-2-2-22222-2000000000000000000-200200
χ19222222-2-2-2-2-22222-2-222-20000000000000000200-20000
χ20222222-2-2-2-2-22222-2-222-20000000000000000-20020000
χ21222222-2-2-2-2-222-2-222-2-2200000000000000000200-2000
χ22222222-2-2-2-2-222-2-222-2-2200000000000000000-2002000
χ232222-2-2222-2-2-22000000022−2−222−2−2002-22−22−200000000
χ242222-2-2222-2-2-22000000022−2−222−2−200-22−22−2200000000
χ252222-2-2222-2-2-220000000−2−222−2−222002-2−22−2200000000
χ262222-2-2222-2-2-220000000−2−222−2−22200-222−22−200000000
χ272222-2-222-22-22-2000000022−2−2−2−2222-2002−2−2200000000
χ282222-2-222-22-22-2000000022−2−2−2−222-2200−222−200000000
χ292222-2-222-22-22-20000000−2−22222−2−22-200−222−200000000
χ302222-2-222-22-22-20000000−2−22222−2−2-22002−2−2200000000
χ314444-4-4-4-44-444-40000000000000000000000000000000
χ324444-4-4-4-4-444-440000000000000000000000000000000
χ3344-4-44-4000000000004-402-22-22-22-20000000000000000
χ3444-4-44-4000000000004-40-22-22-22-220000000000000000
χ3544-4-44-400000000000-4402-22-2-22-220000000000000000
χ3644-4-44-400000000000-440-22-222-22-20000000000000000
χ3744-4-4-4400000004-400000000022−22−22220000000000000000
χ3844-4-4-4400000004-4000000000−222222−220000000000000000
χ3944-4-4-440000000-440000022−22−222200000000000000000000
χ4044-4-4-440000000-4400000−222222−2200000000000000000000
χ418-88-8008i−8i000000000000000000000000000000000000
χ428-88-800−8i8i000000000000000000000000000000000000
χ438-8-880000000000042−42000000000000000000000000000
χ448-8-8800000000000−4242000000000000000000000000000

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