Finite Group Databasebeta

← Group #273827

Character table — Group #273827

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444888888888888888888888888881616161616161616161616163232
order12222244444422444442244444488888888888888888822444888888848
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-11-1-1-1-1
χ31111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-11-1-111111111111-1-111-1-11111-1-1-11-11-1-1-1-111-1-1
χ61111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111-1-1-111
χ71111111111111111111-1-11-1-11-1-111111111-1-1-1-111-1-1-1-1-1-11-11-1-1-1-11-1-111
χ81111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-11-1111111-1-1
χ9111111111111-1-1-1-111111-111-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-11-1-1-1111-1
χ10111111111111-1-1-1-111111-111-111-1-1-1-11111-1-1-1-1-1-11111-1-1111-1-111-1-1-1-11
χ11111111111111-1-1-1-111111-111-1-1-11111-1-1-1-11111111111-1-1-1-1-111-1-11-1-1-11
χ12111111111111-1-1-1-111111-111-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1111111-1
χ13111111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-11-1-1-111111-11
χ14111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1111111-1-111111111-11-1-11-1-11-1-11-1
χ15111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111-111-111-1-1-11-1
χ16111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1111-1-1-111-11
χ172222222-22-2222222-2-2-200-200-222000000000022000000000-20-200000000
χ182222222-22-2222222-2-2-200-200-2-2-20000000000-2-200000000020200000000
χ192222222-22-222-2-2-2-2-2-2-2002002220000000000-2-2000000000-20200000000
χ202222222-22-222-2-2-2-2-2-2-2002002-2-200000000002200000000020-200000000
χ21222222-2-2-2-2-2-200002-222-202-200000002i2i−2i−2i000000000000000002i−2i00000
χ22222222-2-2-2-2-2-200002-222-202-20000000−2i−2i2i2i00000000000000000−2i2i00000
χ23222222-2-2-2-2-2-200002-22-220-2200000002i2i−2i−2i00000000000000000−2i2i00000
χ24222222-2-2-2-2-2-200002-22-220-220000000−2i−2i2i2i000000000000000002i−2i00000
χ252222-2-222-222-20000-2-22220-2-200022-2-20000-2-20000000000000020000000
χ262222-2-222-222-20000-2-22220-2-2000-2-22200002200000000000000-20000000
χ272222-2-222-222-20000-2-22-2-202200022-2-200002200000000000000-20000000
χ282222-2-222-222-20000-2-22-2-2022000-2-2220000-2-20000000000000020000000
χ292222-2-2-2222-2222-2-22-2-200200-20000000000000022000000-2020000-20000
χ302222-2-2-2222-2222-2-22-2-200200-200000000000000-2-200000020-2000020000
χ312222-2-2-2222-22-2-2222-2-200-2002000000000000002200000020-20000-20000
χ322222-2-2-2222-22-2-2222-2-200-200200000000000000-2-2000000-202000020000
χ332222-2-2-2-22-2-2222-2-2-2222-2-2-222000000000000000000002-2000000000000
χ342222-2-2-2-22-2-2222-2-2-222-22-22-2200000000000000000000-22000000000000
χ352222-2-2-2-22-2-22-2-222-2222-22-22-200000000000000000000-22000000000000
χ362222-2-2-2-22-2-22-2-222-222-2222-2-2000000000000000000002-2000000000000
χ372-22-22-2-20202-22-22-20000000002i−2i2−22−22−22−2002i−2i00i2i2−i2−i20000000000i2−i200
χ382-22-22-2-20202-22-22-20000000002i−2i−22−22−22−22002i−2i00−i2−i2i2i20000000000−i2i200
χ392-22-22-2-20202-22-22-2000000000−2i2i2−22−22−22−200−2i2i00−i2−i2i2i20000000000−i2i200
χ402-22-22-2-20202-22-22-2000000000−2i2i−22−22−22−2200−2i2i00i2i2−i2−i20000000000i2−i200
χ412-22-22-2-20202-2-22-220000000002i−2i2−22−2−22−2200−2i2i00−i2−i2i2i20000000000i2−i200
χ422-22-22-2-20202-2-22-220000000002i−2i−22−222−22−200−2i2i00i2i2−i2−i20000000000−i2i200
χ432-22-22-2-20202-2-22-22000000000−2i2i2−22−2−22−22002i−2i00i2i2−i2−i20000000000−i2i200
χ442-22-22-2-20202-2-22-22000000000−2i2i−22−222−22−2002i−2i00−i2−i2i2i20000000000i2−i200
χ45444444-44-44-4-40000-44-40000000000000000000000000000000000000000
χ464444-4-44-4-4-44-4000044-40000000000000000000000000000000000000000
χ4744-4-4000-404000000000000000000000000022−22002i2−2i22i−2i2i−2i00000000000000
χ4844-4-4000-404000000000000000000000000022−2200−2i22i2−2i2i−2i2i00000000000000
χ4944-4-4000-4040000000000000000000000000−2222002i2−2i2−2i2i−2i2i00000000000000
χ5044-4-4000-4040000000000000000000000000−222200−2i22i22i−2i2i−2i00000000000000
χ514-44-44-440-40-4400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ524-44-44-440-40-440000000000000000000−2i22i22i2−2i2000000000000000000000000
χ534-44-4-444040-4-44-4-440000000000000000000000000000000000000000000
χ544-44-4-444040-4-4-444-40000000000000000000000000000000000000000000
χ554-44-4-44-40-404400000000000000022−22−22220000000000000000000000000000
χ564-44-4-44-40-4044000000000000000−222222−220000000000000000000000000000
χ5788-8-800080-80000000000000000000000000000000000000000000000000
χ588-8-88000000000000000000000000000000000000022−22−222200000000000000
χ598-8-880000000000000000000000000000000000000−222222−2200000000000000

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