Finite Group Databasebeta

← Group #246404

Character table — Group #246404

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111224444448888888888881616161616161616161616161616161632323232
order12222222444444444444444422244444444488884488
χ111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11111-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-111-1-11-11111-1-1-1-1-111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-111-11111-1-111
χ511111111111111-1-1111111-1-11111-1-1-111-1-1-11111-1-1-1-1
χ611111111111111-1-1111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111-1-111-1-1-1-111-111-11-1111-1-11-1-1-1-1-1-111
χ811111111111111-1-111-1-1-1-111-1-1-1-11-11-1-1-1-11111111-1-1
χ9111111111111-1-111-1-11111-1-1-11-1-11111-1-1-1-111-1-11-11-1
χ10111111111111-1-111-1-11111-1-1-1-11-1111-11-1-1-1-1-111-11-11
χ11111111111111-1-111-1-1-1-1-1-11111-11-11-11-1-1-11-1-1111-1-11
χ12111111111111-1-111-1-1-1-1-1-1111-111-11-1-11-1-1111-1-1-111-1
χ13111111111111-1-1-1-1-1-1111111-11-1-1-1-1-11-111111-1-1-11-11
χ14111111111111-1-1-1-1-1-1111111-1-11-1-1-1-1-11111-1-1111-11-1
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-111-111-1-1-111-111-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-11-1111-111-1-11-1-11
χ1722222222-2-2-2-22-2222-200000000000-20002-2000000000
χ1822222222-2-2-2-22-2-2-22-2000000000002000-22000000000
χ1922222222-2-2-2-2-2222-2200000000000-2000-22000000000
χ2022222222-2-2-2-2-22-2-2-220000000000020002-2000000000
χ21222222-2-22-2-222-200-2222-2-200200-20000000000000000
χ22222222-2-22-2-222-200-22-2-22200-20020000000000000000
χ23222222-2-22-2-22-22002-222-2-200-20020000000000000000
χ24222222-2-22-2-22-22002-2-2-22200200-20000000000000000
χ25222222-2-2-222-22200-2-2000022000020-20000-200000000
χ26222222-2-2-222-22200-2-20000-2-20000-2020000200000000
χ27222222-2-2-222-2-2-200220000220000-2020000-200000000
χ28222222-2-2-222-2-2-200220000-2-2000020-20000200000000
χ292222-2-22-2-22-220000002-22-20000200000-2000002-20000
χ302222-2-22-2-22-220000002-22-20000-200000200000-220000
χ312222-2-22-2-22-22000000-22-220000200000-200000-220000
χ322222-2-22-2-22-22000000-22-220000-2000002000002-20000
χ332222-2-2-22-2-2220000002-2-22000200000-200002-2000000
χ342222-2-2-22-2-2220000002-2-22000-20000020000-22000000
χ352222-2-2-22-2-222000000-222-2000200000-20000-22000000
χ362222-2-2-22-2-222000000-222-2000-200000200002-2000000
χ374444-4-44-44-44-400000000000000000000000000000000
χ384444-4-4-4444-4-400000000000000000000000000000000
χ3988-8-800000000004-40000000000000000000000000000
χ4088-8-80000000000-440000000000000000000000000000
χ418-88-80000000000000000004i−4i00000000000000000000
χ428-88-8000000000000000000−4i4i00000000000000000000
χ438-8-888-800000000000000000000000000000000000000
χ448-8-88-8800000000000000000000000000000000000000

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