Finite Group Databasebeta

← Group #246369

Character table — Group #246369

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111224444448888888888881616161616161616161616161616161632323232
order12222222444422224444444422444444444488884488
χ111111111111111111111111111111111111111111111
χ21111111111111111111111111-1111-1-11-1111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1111-1-111-11-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-111-1-111-1-1-11-111-1-111-1-1-111-1-11-11-1
χ611111111111111-1-111-1-111-1-1-1-1-111111-1-1-1-1-1-111-11-11
χ711111111111111-1-111-1-1-1-111-11-1-1-1-1-1-1111111-1-1-11-11
χ811111111111111-1-111-1-1-1-111-1-1-1-1-111-1-1111-1-1111-11-1
χ9111111111111-1-111-1-11111-1-1-11-11-111-1111-1-1-1-1-111-1-1
χ10111111111111-1-111-1-11111-1-1-1-1-11-1-1-1-1-111-11111-1-111
χ11111111111111-1-111-1-111-1-111-11-1-111111-1-11-1-1-1-1-1-111
χ12111111111111-1-111-1-111-1-111-1-1-1-11-1-11-1-1-11111111-1-1
χ13111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11-1-1111-1-11
χ14111111111111-1-1-1-1-1-1-1-111111-111-111-1-1-1-1111-1-1-111-1
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-11111-1-1-111-111-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-111-111-1-11-1-11
χ1722222222-2-2-2-2002-2002-22200000-2000002-2000000000
χ1822222222-2-2-2-2002-2002-2-2-200000200000-22000000000
χ1922222222-2-2-2-200-2200-222200000-200000-22000000000
χ2022222222-2-2-2-200-2200-22-2-2000002000002-2000000000
χ21222222-2-22-2-22222-2-2-2-22000020-200000000000000000
χ22222222-2-22-2-2222-22-2-22-20000-20200000000000000000
χ23222222-2-22-2-22-2-22-222-220000-20200000000000000000
χ24222222-2-22-2-22-2-2-22222-2000020-200000000000000000
χ25222222-2-2-222-2002200-2-200220000-2002000-200000000
χ26222222-2-2-222-2002200-2-200-2-20000200-2000200000000
χ27222222-2-2-222-200-2-2002200220000200-2000-200000000
χ28222222-2-2-222-200-2-2002200-2-20000-2002000200000000
χ292222-2-22-2-22-222-2002-2000000000002-200000002-20000
χ302222-2-22-2-22-222-2002-200000000000-220000000-220000
χ312222-2-22-2-22-22-2200-22000000000002-20000000-220000
χ322222-2-22-2-22-22-2200-2200000000000-2200000002-20000
χ332222-2-2-22-2-2222-200-2200000002000000-20002-2000000
χ342222-2-2-22-2-2222-200-220000000-20000002000-22000000
χ352222-2-2-22-2-222-22002-200000002000000-2000-22000000
χ362222-2-2-22-2-222-22002-20000000-200000020002-2000000
χ374444-4-44-44-44-400000000000000000000000000000000
χ384444-4-4-4444-4-400000000000000000000000000000000
χ3988-8-800000000000000004i−4i0000000000000000000000
χ4088-8-80000000000000000−4i4i0000000000000000000000
χ418-88-80000000000000000004i−4i00000000000000000000
χ428-88-8000000000000000000−4i4i00000000000000000000
χ438-8-888-800000000000000000000000000000000000000
χ448-8-88-8800000000000000000000000000000000000000

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