Finite Group Databasebeta

← Group #254213

Character table — Group #254213

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222224444444888888888888888888881616161616161616161616161616163232
order12222244444444444444444444444448888888822444444444888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-111
χ5111111111111111111111-1-1-1-11111-1-111111111-111-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-111-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1
χ91111111111111-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1111-1-1-1-1-1-11111-1-11-1
χ101111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111111-1-1-1-111-1-111-1-111-11
χ111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111111-1-111-1-1-11
χ121111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1111-1
χ131111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111-11
χ141111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-11111-1-1-1-111-1-11-1
χ151111111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1111-1
χ161111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-111-1-1-1-1111111-1-1-11
χ172222222222-2-2-22222-2-2-2-222-2-200002200000000-20000000000000000
χ182222222222-2-2-22222-2-2-2-2-2-2220000-2-20000000020000000000000000
χ192222222222-2-2-2-2-2-2-2-2-22222220000-2-200000000-20000000000000000
χ202222222222-2-2-2-2-2-2-2-2-222-2-2-2-20000220000000020000000000000000
χ21222222-2-2-2-222222-2-2-2-22-2000022-2-2000000000000000002-200000000
χ22222222-2-2-2-222222-2-2-2-22-20000-2-22200000000000000000-2200000000
χ23222222-2-2-2-2222-2-222-2-2-22000022-2-200000000000000000-2200000000
χ24222222-2-2-2-2222-2-222-2-2-220000-2-222000000000000000002-200000000
χ25222222-2-2-2-2-2-2-222-2-222-220000000000000000000002-200002-2000000
χ26222222-2-2-2-2-2-2-222-2-222-22000000000000000000000-220000-22000000
χ27222222-2-2-2-2-2-2-2-2-222222-20000000000000000000002-20000-22000000
χ28222222-2-2-2-2-2-2-2-2-222222-2000000000000000000000-2200002-2000000
χ292222-2-22-22-2-2-2200002-20000002i−2i2i−2i0000002i2i−2i−2i000002-20000000000
χ302222-2-22-22-2-2-2200002-20000002i−2i2i−2i000000−2i−2i2i2i00000-220000000000
χ312222-2-22-22-2-2-2200002-2000000−2i2i−2i2i0000002i2i−2i−2i00000-220000000000
χ322222-2-22-22-2-2-2200002-2000000−2i2i−2i2i000000−2i−2i2i2i000002-20000000000
χ332222-2-2-22-22-2-220000-220000002i−2i−2i2i002i2i−2i−2i000002-200000000000000
χ342222-2-2-22-22-2-220000-220000002i−2i−2i2i00−2i−2i2i2i00000-2200000000000000
χ352222-2-2-22-22-2-220000-22000000−2i2i2i−2i002i2i−2i−2i00000-2200000000000000
χ362222-2-2-22-22-2-220000-22000000−2i2i2i−2i00−2i−2i2i2i000002-200000000000000
χ3722-2-2-22-222-20002i−2i2i−2i00002i−2i0000002-2i2−i2i2−i22−22−2000000000002−2i2−i200
χ3822-2-2-22-222-20002i−2i2i−2i00002i−2i0000002-2−i2i2−i2i2−22−2200000000000−22−i2i200
χ3922-2-2-22-222-20002i−2i2i−2i0000−2i2i000000-22i2−i2i2−i22−22−200000000000−22−i2i200
χ4022-2-2-22-222-20002i−2i2i−2i0000−2i2i000000-22−i2i2−i2i2−22−22000000000002−2i2−i200
χ4122-2-2-22-222-2000−2i2i−2i2i00002i−2i000000-22i2−i2i2−i2−22−22000000000002−2−i2i200
χ4222-2-2-22-222-2000−2i2i−2i2i00002i−2i000000-22−i2i2−i2i22−22−200000000000−22i2−i200
χ4322-2-2-22-222-2000−2i2i−2i2i0000−2i2i0000002-2i2−i2i2−i2−22−2200000000000−22i2−i200
χ4422-2-2-22-222-2000−2i2i−2i2i0000−2i2i0000002-2−i2i2−i2i22−22−2000000000002−2−i2i200
χ454444-4-44-44-444-40000-440000000000000000000000000000000000000
χ464444-4-4-44-4444-400004-40000000000000000000000000000000000000
χ4744-4-44-444-4-400000000000000000000022−22−2222000000000000000000000
χ4844-4-44-444-4-4000000000000000000000−222222−22000000000000000000000
χ4944-4-44-4-4-44400000000000000000000000002i2−2i2−2i22i200000000000000000
χ5044-4-44-4-4-4440000000000000000000000000−2i22i22i2−2i200000000000000000
χ5144-4-4-444-4-440004i−4i−4i4i000000000000000000000000000000000000000
χ5244-4-4-444-4-44000−4i4i4i−4i000000000000000000000000000000000000000
χ538-88-800000000000000000004i−4i0000000000000000000000000000000
χ548-88-80000000000000000000−4i4i0000000000000000000000000000000
χ558-8-880000008i−8i00000000000000000000000000000000000000000000
χ568-8-88000000−8i8i00000000000000000000000000000000000000000000

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