Finite Group Databasebeta

← Group #253463

Character table — Group #253463

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111224444448888888888881616161616161616161616161616161632323232
order12222222444422444444444424444444444444448888
χ111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-11111-1-111
χ511111111111111-1-1-1-1111111-1-11-111-1-1-11-1-111-1-11-11-1
χ611111111111111-1-1-1-1111111-1-1-111-11-1-11-1-1-1-111-11-11
χ711111111111111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-111-1-1111-1-11
χ811111111111111-1-1-1-1-1-1-1-1-1-111-111-11-1-1-11111-1-1-111-1
χ9111111111111-1-111111111-1-1-1-111-111-1-1-1111111-1-1-1-1
χ10111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ11111111111111-1-11111-1-1-1-1111111-111-1-11-1-1-1-1-1-1-1-111
χ12111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-1111111-1-1
χ13111111111111-1-1-1-1-1-11111-1-1111-1-11-111-1-1-111-1-1-11-11
χ14111111111111-1-1-1-1-1-11111-1-111-11-1-1111-1-1-1-1-1111-11-1
χ15111111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-11-111111-1-111-111-1
χ16111111111111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-111111111-1-11-1-11
χ1722222222-2-2-2-20022-2-222-2-20000000000002-200000000
χ1822222222-2-2-2-20022-2-2-2-222000000000000-2200000000
χ1922222222-2-2-2-200-2-22222-2-2000000000000-2200000000
χ2022222222-2-2-2-200-2-222-2-2220000000000002-200000000
χ21222222-2-222-2-2002-22-20000222-20000000-20000000000
χ22222222-2-222-2-2002-22-20000-2-2-22000000020000000000
χ23222222-2-222-2-200-22-22000022-220000000-20000000000
χ24222222-2-222-2-200-22-220000-2-22-2000000020000000000
χ25222222-2-2-2-222222-2-220000000000-2002-200000000000
χ26222222-2-2-2-22222-222-20000000000-200-2200000000000
χ27222222-2-2-2-222-2-22-2-220000000000200-2200000000000
χ28222222-2-2-2-222-2-2-222-200000000002002-200000000000
χ292222-2-22-22-22-20000002i−2i2i−2i00000200-200000002i−2i0000
χ302222-2-22-22-22-20000002i−2i2i−2i00000-20020000000−2i2i0000
χ312222-2-22-22-22-2000000−2i2i−2i2i00000200-20000000−2i2i0000
χ322222-2-22-22-22-2000000−2i2i−2i2i00000-200200000002i−2i0000
χ332222-2-22-2-22-220000002i−2i−2i2i0000200-20000002i−2i000000
χ342222-2-22-2-22-220000002i−2i−2i2i0000-2002000000−2i2i000000
χ352222-2-22-2-22-22000000−2i2i2i−2i0000200-2000000−2i2i000000
χ362222-2-22-2-22-22000000−2i2i2i−2i0000-20020000002i−2i000000
χ374444-4-4-444-4-4400000000000000000000000000000000
χ384444-4-4-44-444-400000000000000000000000000000000
χ3988-8-88-800000000000000000000000000000000000000
χ4088-8-8-8800000000000000000000000000000000000000
χ418-88-80000000000000000004i−4i00000000000000000000
χ428-88-8000000000000000000−4i4i00000000000000000000
χ438-8-88000000004-4000000000000000000000000000000
χ448-8-8800000000-44000000000000000000000000000000

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