Finite Group Databasebeta

← Group #272212

Character table — Group #272212

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444444444888888888888888881616161616161616161616161616163232
order12222244444422444444488884444444888888888844444888888888848
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111111-1-11111111111-1-1-1-1-1111-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-11111
χ511111111111111111-1-1111111111-11-1-111-1-1111111-1-11-1-111-1-1-11-1-111-1-1
χ611111111111111111-1-1111111-1-11-11-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-111-1-111
χ711111111111111111-1-111-1-1-1-1111-11-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111
χ811111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-111-1-1-1-1-1-1-1-1-11111111-11111-1-1
χ9111111111111-1-1-1-111111111111-11-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1
χ10111111111111-1-1-1-1111111111-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-11-1-111111-11
χ11111111111111-1-1-1-111111-1-1-1-111-11-111-1-1-1-1-1-11111-1-1111-1-1-111-1-1-111-11
χ12111111111111-1-1-1-111111-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-111-111111-1-11-1
χ13111111111111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-111-111-111-1-1-11
χ14111111111111-1-1-1-11-1-1111111-1-1-1-1-1-1-111-1-111-1-1-1-111-111-1-1-1111-1-1111-1
χ15111111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-111-1-11111111-1-1-1-11-1-1-111111-1
χ16111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-111111-1-11-1-1-1-1-11
χ172222222-22-2222222-200-2-2000022-20-200220000000000-20000000-2000000
χ182222222-22-2222222-200-2-20000-2-2-20-200-2-20000000000200000002000000
χ192222222-22-222-2-2-2-2-200-2-200002220200-2-20000000000-200000002000000
χ202222222-22-222-2-2-2-2-200-2-20000-2-22020022000000000020000000-2000000
χ21222222-22-22-2-20000222-2-2000000020-2-20000002i2i−2i−2i000000002i−2i0000000
χ22222222-22-22-2-20000222-2-2000000020-2-2000000−2i−2i2i2i00000000−2i2i0000000
χ23222222-22-22-2-200002-2-2-2-20000000-20220000002i2i−2i−2i00000000−2i2i0000000
χ24222222-22-22-2-200002-2-2-2-20000000-2022000000−2i−2i2i2i000000002i−2i0000000
χ252222-2-222-222-20000-222-222222000-202-20022-2-200000000000-2000000000
χ262222-2-222-222-20000-222-22-2-2-2-2000-202-200-2-222000000000002000000000
χ272222-2-222-222-20000-2-2-2-22222200020-2200-2-2-2-2000000000002000000000
χ282222-2-222-222-20000-2-2-2-22-2-2-2-200020-2200222200000000000-2000000000
χ292222-2-2-2222-2222-2-2-2222-20000002-2-2-2200000000002-2000000000000000
χ302222-2-2-2222-2222-2-2-2-2-22-200000022-22-20000000000-22000000000000000
χ312222-2-2-2222-22-2-222-2222-2000000-2-22-220000000000-22000000000000000
χ322222-2-2-2222-22-2-222-2-2-22-2000000-2222-200000000002-2000000000000000
χ332222-2-2-2-22-2-2222-2-2200-22000000-2020000000000000002-20000002-20000
χ342222-2-2-2-22-2-2222-2-2200-22000000-202000000000000000-22000000-220000
χ352222-2-2-2-22-2-22-2-222200-2200000020-20000000000000002-2000000-220000
χ362222-2-2-2-22-2-22-2-222200-2200000020-2000000000000000-220000002-20000
χ3722-2-22-22020-2-22-22-20000022−2−22-2000002-2002−22−22−2000002−20000002−200
χ3822-2-22-22020-2-22-22-20000022−2−2-2200000-22002−22−22−200000−22000000−2200
χ3922-2-22-22020-2-22-22-200000−2−2222-2000002-200−22−22−2200000−22000000−2200
χ4022-2-22-22020-2-22-22-200000−2−222-2200000-2200−22−22−22000002−20000002−200
χ4122-2-22-22020-2-2-22-220000022−2−22-200000-22002−2−22−22000002−2000000−2200
χ4222-2-22-22020-2-2-22-220000022−2−2-22000002-2002−2−22−2200000−220000002−200
χ4322-2-22-22020-2-2-22-2200000−2−2222-200000-2200−222−22−200000−220000002−200
χ4422-2-22-22020-2-2-22-2200000−2−222-22000002-200−222−22−2000002−2000000−2200
χ45444444-4-4-4-4-4-40000-4004400000000000000000000000000000000000000
χ464444-4-44-4-4-44-400004004-400000000000000000000000000000000000000
χ4744-4-44-4-40-4044000000000000000000000000002i2−2i2−2i22i200000000000000000
χ4844-4-44-4-40-404400000000000000000000000000−2i22i22i2−2i200000000000000000
χ4944-4-4-4440-40-440000000002222−22−2200000000000−2222000000000000000000000
χ5044-4-4-4440-40-44000000000−22−2222220000000000022−22000000000000000000000
χ5144-4-4-44-40404-44-4-440000000000000000000000000000000000000000000
χ5244-4-4-44-40404-4-444-40000000000000000000000000000000000000000000
χ534-44-400040-400000004-40022−2222−2200000000022−2200000000000000000000000
χ544-44-400040-400000004-400−2222−2222000000000−222200000000000000000000000
χ554-44-400040-40000000-440022−2222−22000000000−222200000000000000000000000
χ564-44-400040-40000000-4400−2222−222200000000022−2200000000000000000000000
χ578-88-8000-8080000000000000000000000000000000000000000000000000
χ588-8-88000000000000000004-4-440000000000000000000000000000000000
χ598-8-8800000000000000000-444-40000000000000000000000000000000000

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