Finite Group Databasebeta

← Group #285136

Character table — Group #285136

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444444444888888888888888881616161616161616161616161616163232
order12222244444444444888888884444488888888888822224888888888848
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111-1-1111-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-111111-1-111-1-1-1-111-1-1-1111-111-1111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1111-1-1-11-1-1-111-1-11-1
χ611111111111111111-1-1-1-11111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11111-1-111-11
χ711111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-111-11
χ811111111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111-1-11-1-1-11-1-1-111111-1-11-1
χ91111111111111-1-11111111111-1-1-1111111-1-1111111-11-1-1-1-1-1-11-1-11111-1-1
χ101111111111111-1-11111111111-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-111-1-1-1-111
χ111111111111111-1-1111111-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-11-1-111-1-1-1-1-1-111
χ121111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1111-1-11-1111111-1-1
χ131111111111111-1-111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-11111-1-1-11
χ141111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111-111111-11-1-1-1-1111-1
χ151111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-11-1-1-1111-111-1-1111-1
χ161111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-11111-1-111-1-1-11
χ172222222-2-2-2-22222-2-22i2i−2i−2i0000-2-2200002i−2i00000000000002i−2i0000000000
χ182222222-2-2-2-22222-2-2−2i−2i2i2i0000-2-220000−2i2i0000000000000−2i2i0000000000
χ192222222-2-2-2-222-2-2-2-22i2i−2i−2i000022-200002i−2i0000000000000−2i2i0000000000
χ202222222-2-2-2-222-2-2-2-2−2i−2i2i2i000022-20000−2i2i00000000000002i−2i0000000000
χ21222222-22222-2-200-2-2222200000002200-2-2000022000-2000000-200000000
χ22222222-22222-2-200-2-222220000000-2-200-2-20000-2-20002000000200000000
χ23222222-22222-2-200-2-2-2-2-2-200000002200220000-2-2000-2000000200000000
χ24222222-22222-2-200-2-2-2-2-2-20000000-2-200220000220002000000-200000000
χ25222222-2-2-2-2-2-2-200222i2i−2i−2i00000000000−2i2i00000000002-2000002i−2i000000
χ26222222-2-2-2-2-2-2-200222i2i−2i−2i00000000000−2i2i0000000000-2200000−2i2i000000
χ27222222-2-2-2-2-2-2-20022−2i−2i2i2i000000000002i−2i00000000002-200000−2i2i000000
χ28222222-2-2-2-2-2-2-20022−2i−2i2i2i000000000002i−2i0000000000-22000002i−2i000000
χ292222-2-2222-2-22-2222-2000022222-2-2000000220000-2-20000000-2000000000
χ302222-2-2222-2-22-2222-20000-2-2-2-22-2-2000000-2-200002200000002000000000
χ312222-2-2222-2-22-2-2-22-200002222-222000000-2-20000-2-200000002000000000
χ322222-2-2222-2-22-2-2-22-20000-2-2-2-2-222000000220000220000000-2000000000
χ332222-2-22-2-2222-222-2200000000-22-200220000-2-20000-20002000000000000
χ342222-2-22-2-2222-222-2200000000-22-200-2-200002200002000-2000000000000
χ352222-2-22-2-2222-2-2-2-22000000002-2200220000-2-200002000-2000000000000
χ362222-2-22-2-2222-2-2-2-22000000002-2200-2-20000220000-20002000000000000
χ3722-2-22-202-22-20000002-22-2i2i2−i2−i20002i−2ii2−i20000i2−i22i−2ii2−i2000000000002−22−200
χ3822-2-22-202-22-20000002-22-2i2i2−i2−i2000−2i2ii2−i20000i2−i2−2i2ii2−i200000000000−22−2200
χ3922-2-22-202-22-20000002-22-2−i2−i2i2i20002i−2i−i2i20000−i2i22i−2i−i2i200000000000−22−2200
χ4022-2-22-202-22-20000002-22-2−i2−i2i2i2000−2i2i−i2i20000−i2i2−2i2i−i2i2000000000002−22−200
χ4122-2-22-202-22-2000000-22-22i2i2−i2−i20002i−2i−i2i20000−i2i2−2i2ii2−i2000000000002−2−2200
χ4222-2-22-202-22-2000000-22-22i2i2−i2−i2000−2i2i−i2i20000−i2i22i−2ii2−i200000000000−222−200
χ4322-2-22-202-22-2000000-22-22−i2−i2i2i20002i−2ii2−i20000i2−i2−2i2i−i2i200000000000−222−200
χ4422-2-22-202-22-2000000-22-22−i2−i2i2i2000−2i2ii2−i20000i2−i22i−2i−i2i2000000000002−2−2200
χ454444-4-4-444-4-4-4400-44000000000000000000000000000000000000000000
χ464444-4-4-4-4-444-44004-4000000000000000000000000000000000000000000
χ4744-4-44-40-44-440000004i−4i−4i4i00000000000000000000000000000000000000
χ4844-4-44-40-44-44000000−4i4i4i−4i00000000000000000000000000000000000000
χ4944-4-4-4404-4-4400000000002i22i2−2i2−2i2000000000000000−2i22i200000000000000000
χ5044-4-4-4404-4-440000000000−2i2−2i22i22i20000000000000002i2−2i200000000000000000
χ5144-4-4-440-444-400000000000000000002i2−2i20000−2i22i2000000000000000000000
χ5244-4-4-440-444-40000000000000000000−2i22i200002i2−2i2000000000000000000000
χ534-4-4400-40000404-400000022−2222−2200000000022−2200000000000000000000000
χ544-4-4400-40000404-4000000−2222−2222000000000−222200000000000000000000000
χ554-4-4400-4000040-4400000022−2222−22000000000−222200000000000000000000000
χ564-4-4400-4000040-44000000−2222−222200000000022−2200000000000000000000000
χ578-88-8000000000000000004i−4i−4i4i0000000000000000000000000000000000
χ588-88-800000000000000000−4i4i4i−4i0000000000000000000000000000000000
χ598-8-880080000-800000000000000000000000000000000000000000000000

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