Finite Group Databasebeta

← Group #254539

Character table — Group #254539

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11112222444448888888888161616161616161616161616161616161632323232
order12222244224442244444444222444444444488884488
χ111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-1-1-11-1111-111-111-1-1-1-1-1-111-1-1
χ611111111111111111-1-1-1-1-1-11-1-1-11-1-1-1-111-1-11111-1-111
χ711111111111111111-1-1-1-1-1-1-1111-1111-1-1-111-1-1-1-1-1-111
χ811111111111111111-1-1-1-1-1-1-11-1-1-11-1-1-1-1-111111111-1-1
χ91111111111111-1-1-1-11111-1-11-11-11-11-1-1-1-11111-1-11-11-1
χ101111111111111-1-1-1-11111-1-11-1-111-1-11-1-1-111-1-111-11-11
χ111111111111111-1-1-1-11111-1-1-111-1-111-1-111-1-111-1-1-11-11
χ121111111111111-1-1-1-11111-1-1-11-11-11-11-111-1-1-1-1111-11-1
χ131111111111111-1-1-1-1-1-1-1-111111-1111-11-1-1-1-1-1-1111-1-11
χ141111111111111-1-1-1-1-1-1-1-11111-1111-111-1-1-1-111-1-1-111-1
χ151111111111111-1-1-1-1-1-1-1-111-1-11-1-1-11-111111-1-111-111-1
χ161111111111111-1-1-1-1-1-1-1-111-1-1-11-1-1-111111111-1-11-1-11
χ1722222222-2-22-2-22-22-222-2-22200000000-2000000000000
χ1822222222-2-22-2-22-22-2-2-222-2-2000000002000000000000
χ1922222222-2-22-2-2-22-2222-2-2-2-2000000002000000000000
χ2022222222-2-22-2-2-22-22-2-2222200000000-2000000000000
χ21222222-2-222-2-2-22-2-220000002000-200002-20000000000
χ22222222-2-222-2-2-22-2-22000000-200020000-220000000000
χ23222222-2-222-2-2-2-222-20000002000-20000-220000000000
χ24222222-2-222-2-2-2-222-2000000-2000200002-20000000000
χ25222222-2-2-2-2-22222-2-200000002000-2000002-200000000
χ26222222-2-2-2-2-22222-2-20000000-2000200000-2200000000
χ27222222-2-2-2-2-222-2-22200000002000-200000-2200000000
χ28222222-2-2-2-2-222-2-2220000000-20002000002-200000000
χ292222-2-2-2-22-222-200002i−2i2i−2i000002000-200000002i−2i0000
χ302222-2-2-2-22-222-200002i−2i2i−2i00000-200020000000−2i2i0000
χ312222-2-2-2-22-222-20000−2i2i−2i2i000002000-20000000−2i2i0000
χ322222-2-2-2-22-222-20000−2i2i−2i2i00000-2000200000002i−2i0000
χ332222-2-2-2-2-222-2200002i−2i−2i2i00002000-20000002i−2i000000
χ342222-2-2-2-2-222-2200002i−2i−2i2i0000-20002000000−2i2i000000
χ352222-2-2-2-2-222-220000−2i2i2i−2i00002000-2000000−2i2i000000
χ362222-2-2-2-2-222-220000−2i2i2i−2i0000-200020000002i−2i000000
χ374444-4-4444-4-4-440000000000000000000000000000000
χ384444-4-444-44-44-40000000000000000000000000000000
χ3988-8-8008i−8i000000000000000000000000000000000000
χ4088-8-800−8i8i000000000000000000000000000000000000
χ418-88-8000000000000000004-4000000000000000000000
χ428-88-800000000000000000-44000000000000000000000
χ438-8-888-800000000000000000000000000000000000000
χ448-8-88-8800000000000000000000000000000000000000

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