Finite Group Databasebeta

← Group #254366

Character table — Group #254366

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222244488888888888888161616161616161616161616161616161616163232
order12222222224444422244444444444224444444448888888844
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-111-111-1-1-11-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1
χ511111111111111111-1-1-111-1-1-111111-1-11-1-1-1-1-11111-1-111-1-11-1
χ611111111111111111-1-1-111-1-1-11111-11-1-11-1-1-1-111-1-111-1-111-11
χ711111111111111111-1-1-111-1-1-1-1-1-1-11-111-1111-1-1-1-1-111-1-1111-1
χ811111111111111111-1-1-111-1-1-1-1-1-1-1-111-11111-1-1-111-1-111-1-1-11
χ9111111111111111-1-1111-1-11-1-1111111-111-111-1-1-11111-1-1-1-1-1-1
χ10111111111111111-1-1111-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1111111
χ11111111111111111-1-1111-1-11-1-1-1-1-1-1111111-1-1-111-1-1-1-11111-1-1
χ12111111111111111-1-1111-1-11-1-1-1-1-1-1-1-11-1-11-1-1-1111111-1-1-1-111
χ13111111111111111-1-1-1-1-1-1-1-11111111-111-11-1-11-1-111-1-1-1-111-11
χ14111111111111111-1-1-1-1-1-1-1-1111111-111-111-1-11-1-1-1-11111-1-11-1
χ15111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-11-1-111111-1-11111-1-1-11
χ16111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11-11111111-1-1-1-1111-1
χ172222222222-2-2-2-2-2222-22-2-2-2-2-20000000000002000000000000
χ182222222222-2-2-2-2-222-22-2-2-2222000000000000-2000000000000
χ192222222222-2-2-2-2-2-2-22-2222-222000000000000-2000000000000
χ202222222222-2-2-2-2-2-2-2-22-2222-2-20000000000002000000000000
χ2122222-22-2-2-2-2-222-200000000002i2i−2i−2i0200-2000000002i−2i000000
χ2222222-22-2-2-2-2-222-200000000002i2i−2i−2i0-200200000000−2i2i000000
χ2322222-22-2-2-2-2-222-20000000000−2i−2i2i2i0200-200000000−2i2i000000
χ2422222-22-2-2-2-2-222-20000000000−2i−2i2i2i0-2002000000002i−2i000000
χ252222-22-22-2-2-2-22-2200000000002i−2i2i−2i200-200000002i−2i00000000
χ262222-22-22-2-2-2-22-2200000000002i−2i2i−2i-20020000000−2i2i00000000
χ272222-22-22-2-2-2-22-220000000000−2i2i−2i2i200-20000000−2i2i00000000
χ282222-22-22-2-2-2-22-220000000000−2i2i−2i2i-200200000002i−2i00000000
χ292222-2-2-2-222222-2-2002-2-2002002-2-220000002-20000000000000
χ302222-2-2-2-222222-2-2002-2-200200-222-2000000-220000000000000
χ312222-2-2-2-222222-2-200-22200-2002-2-22000000-220000000000000
χ322222-2-2-2-222222-2-200-22200-200-222-20000002-20000000000000
χ332222-2-2-2-222-2-2-2220022-200-200000000200-20002-20000000000
χ342222-2-2-2-222-2-2-2220022-200-200000000-2002000-220000000000
χ352222-2-2-2-222-2-2-22200-2-2200200000000200-2000-220000000000
χ362222-2-2-2-222-2-2-22200-2-2200200000000-20020002-20000000000
χ3744444-44-4-4-444-4-4400000000000000000000000000000000000
χ384444-44-44-4-444-44-400000000000000000000000000000000000
χ394-44-444-4-4-4400000000000004i−4i0000000000000000000000000
χ404-44-444-4-4-440000000000000−4i4i0000000000000000000000000
χ414-44-44-4-444-400000000000000000000000000000000002i2−2i20000
χ424-44-44-4-444-40000000000000000000000000000000000−2i22i20000
χ434-44-4-444-44-40000000000000000000000000000000000002i2−2i200
χ444-44-4-444-44-4000000000000000000000000000000000000−2i22i200
χ454-44-4-4-444-44000004-4000000000000000000000000000000000
χ464-44-4-4-444-4400000-44000000000000000000000000000000000
χ4788-8-80000008i−8i00000000000000000000000000000000000000
χ4888-8-8000000−8i8i00000000000000000000000000000000000000
χ498-8-8800000000000000004-40000000000000000000000000000
χ508-8-880000000000000000-440000000000000000000000000000

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