Finite Group Databasebeta

← Group #500583

Character table — Group #500583

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222224444444444444444888888161616161616161616161616161616161616161616161616
order1222224444444444448888888824888822224444444444441616161616161616
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111-1-111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ6111111111111-1-111-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ91111111111-1-111-1-11111-1-1-1-111-1-111-1-11-1111-11-11-1-1-111-1-111-1-111-1-1
χ101111111111-1-111-1-11111-1-1-1-111-1-111-1-11-1-1-11-11-11-111-1-111-1-111-1-111
χ111111111111-1-111-1-11111-1-1-1-111-1-111-1-1-1111-11-11-11-1-111-1-1-1-111-1-111
χ121111111111-1-111-1-11111-1-1-1-111-1-111-1-1-11-1-1-11-11-1111-1-11111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1111-1-11-11-1-1-1-11111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1-1-11-1-11-111111-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1111-111-11-1-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-11-1-1-111-11-11111-1-111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2000000000000000000000000
χ18222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ192222222222-2-222-2-222-2-22222-2-2-2-2-2-222000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2000000000000000000000000
χ21222222-2-2-2-22222-2-2-2-200000000-22000000000000000000002−22−22−22−2
χ22222222-2-2-2-22222-2-2-2-200000000-2200000000000000000000−22−22−22−22
χ23222222-2-2-2-222-2-2-2-222000000002-2000000000000000000002−22−2−22−22
χ24222222-2-2-2-222-2-2-2-222000000002-200000000000000000000−22−222−22−2
χ25222222-2-2-2-2-2-22222-2-2000000002-2000000000000000000002−2−222−2−22
χ26222222-2-2-2-2-2-22222-2-2000000002-200000000000000000000−222−2−222−2
χ27222222-2-2-2-2-2-2-2-2222200000000-22000000000000000000002−2−22−222−2
χ28222222-2-2-2-2-2-2-2-2222200000000-2200000000000000000000−222−22−2−22
χ292222-2-2-2-2222-2002-2002-222-2-22-200000000000022-2-200000000000000
χ302222-2-2-2-2222-2002-2002-222-2-22-2000000000000-2-22200000000000000
χ312222-2-2-2-2222-2002-200-22-2-222-220000002-200-22000000000000000000
χ322222-2-2-2-2222-2002-200-22-2-222-22000000-22002-2000000000000000000
χ332222-2-2-2-222-2200-22002-2-2-2222-20000000000002-2-2200000000000000
χ342222-2-2-2-222-2200-22002-2-2-2222-2000000000000-222-200000000000000
χ352222-2-2-2-222-2200-2200-2222-2-2-220000002200-2-2000000000000000000
χ362222-2-2-2-222-2200-2200-2222-2-2-22000000-2-20022000000000000000000
χ3722-2-22-22-22-2002i−2i002i−2i2-20000-22002i−2i00002-2000000002i−2i0000000000
χ3822-2-22-22-22-2002i−2i002i−2i2-20000-22002i−2i0000-2200000000−2i2i0000000000
χ3922-2-22-22-22-2002i−2i002i−2i-2200002-200−2i2i0000000000002i−2i002-200000000
χ4022-2-22-22-22-2002i−2i002i−2i-2200002-200−2i2i000000000000−2i2i00-2200000000
χ4122-2-22-22-22-200−2i2i00−2i2i2-20000-2200−2i2i00002-200000000−2i2i0000000000
χ4222-2-22-22-22-200−2i2i00−2i2i2-20000-2200−2i2i0000-22000000002i−2i0000000000
χ4322-2-22-22-22-200−2i2i00−2i2i-2200002-2002i−2i0000000000002i−2i00-2200000000
χ4422-2-22-22-22-200−2i2i00−2i2i-2200002-2002i−2i000000000000−2i2i002-200000000
χ454444-4-444-4-44-400-440000000000000000000000000000000000000000
χ464444-4-444-4-4-44004-40000000000000000000000000000000000000000
χ4744-4-44-4-44-44004i−4i00−4i4i00000000000000000000000000000000000000
χ4844-4-44-4-44-4400−4i4i004i−4i00000000000000000000000000000000000000
χ4944-4-4-444-4-44000000000000000000004i−4i000000000000000000000000
χ5044-4-4-444-4-4400000000000000000000−4i4i000000000000000000000000
χ5144-4-4-44-444-400000000440000-4-4000000000000000000000000000000
χ5244-4-4-44-444-400000000-4-4000044000000000000000000000000000000
χ538-88-80000000000000000004i2−4i200000000000000000000000000000000
χ548-88-8000000000000000000−4i24i200000000000000000000000000000000
χ558-8-88000000000000000042−420000000000000000000000000000000000
χ568-8-880000000000000000−42420000000000000000000000000000000000

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