Finite Group Databasebeta

← Group #72263490

Character table — Group #72263490

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size111122222222224444444444888888881616161616161616161616161616161616161616161616161616161616161616323232323232323232323232
order1222222222222222222244442222224422222244444444444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ511111111111111111111111111111111-1-11111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111
χ9111111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-11-1111111-1-11-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1
χ10111111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-11-111-1-111-1-11-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111
χ11111111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-11-1-1-11111-1-11-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1
χ12111111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-11-1-1-1-1-111-1-11-11111-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111
χ13111111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1-111111-1-111-11-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111
χ14111111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1-1111-1-1-1-111-11-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1
χ15111111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1-11-1-111-1-111-1111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111
χ16111111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1-11-1-1-1-1-1-111-111111-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1
χ1722222222222222222222-2-2-2-22-22-2-2-2-2-20022000000002200-2-2-2-2000000000000000000000000
χ1822222222222222222222-2-2-2-22-22-2-2-2-2-200-2-200000000-2-2002222000000000000000000000000
χ192222222222222222-2-2-2-22222-2-2-2-2-2-22200002200000000220000-2-2-2-200000000000000000000
χ202222222222222222-2-2-2-22222-2-2-2-2-2-2220000-2-200000000-2-20000222200000000000000000000
χ212222222222222222-2-2-2-2-2-2-2-2-22-2222-2-200000000000000000000000022-2-222-2-2000000000000
χ222222222222222222-2-2-2-2-2-2-2-2-22-2222-2-2000000000000000000000000-2-222-2-222000000000000
χ23222222-2-2-2-22222-2-222-2-222-2-2-222-2-22-2200000000000000000000000022-2-2-2-222000000000000
χ24222222-2-2-2-22222-2-222-2-222-2-2-222-2-22-22000000000000000000000000-2-22222-2-2000000000000
χ25222222-2-2-2-22222-2-222-2-2-2-222-2-2222-22-200002200000000-2-20000-2-22200000000000000000000
χ26222222-2-2-2-22222-2-222-2-2-2-222-2-2222-22-20000-2-20000000022000022-2-200000000000000000000
χ27222222-2-2-2-22222-2-2-2-22222-2-22-2-222-2-22002200000000-2-200-2-222000000000000000000000000
χ28222222-2-2-2-22222-2-2-2-22222-2-22-2-222-2-2200-2-200000000220022-2-2000000000000000000000000
χ292222-2-2222222-2-2-2-222222222-22-22-2-2-2-2220000-2-2-2-22200000000000000000000000000000000
χ302222-2-2222222-2-2-2-222222222-22-22-2-2-2-2-2-200002222-2-200000000000000000000000000000000
χ312222-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000002-22-200000000
χ322222-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000-22-2200000000
χ332222-2-2222222-2-2-2-2-2-2-2-222222-22-222-2-200000000000000000000000000000000000000002-22-2
χ342222-2-2222222-2-2-2-2-2-2-2-222222-22-222-2-20000000000000000000000000000000000000000-22-22
χ352222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2220000000000000000000000000000000000002i−2i2i−2i0000
χ362222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222000000000000000000000000000000000000−2i2i−2i2i0000
χ372222-2-2-2-2-2-222-2-22222-2-222-2-222-2-22-22-20000000000000000000000000000000000002i−2i−2i2i0000
χ382222-2-2-2-2-2-222-2-22222-2-222-2-222-2-22-22-2000000000000000000000000000000000000−2i2i2i−2i0000
χ392222-2-2-2-2-2-222-2-22222-2-2-2-2222-2-22-22-2200000000000000000000000000000000000000002-2-22
χ402222-2-2-2-2-2-222-2-22222-2-2-2-2222-2-22-22-220000000000000000000000000000000000000000-222-2
χ412222-2-2-2-2-2-222-2-222-2-22222-2-2-2-222-222-2000000000000000000000000000000002-2-2200000000
χ422222-2-2-2-2-2-222-2-222-2-22222-2-2-2-222-222-200000000000000000000000000000000-222-200000000
χ432222-2-2-2-2-2-222-2-222-2-222-2-222-222-22-2-222-20000-2-2222-200000000000000000000000000000000
χ442222-2-2-2-2-2-222-2-222-2-222-2-222-222-22-2-22-22000022-2-2-2200000000000000000000000000000000
χ4544444-444-4-4-4-44-44-400000000000000002200002-22-2-2-200000000000000000000000000000000
χ4644444-444-4-4-4-44-44-40000000000000000-2-20000-22-222200000000000000000000000000000000
χ4744444-4-4-444-4-44-4-4400000000000000002-200002-2-22-2200000000000000000000000000000000
χ4844444-4-4-444-4-44-4-440000000000000000-220000-222-22-200000000000000000000000000000000
χ494444-4444-4-4-4-4-44-440000000000000000220000-22-22-2-200000000000000000000000000000000
χ504444-4444-4-4-4-4-44-440000000000000000-2-200002-22-22200000000000000000000000000000000
χ514444-44-4-444-4-4-444-400000000000000002-20000-222-2-2200000000000000000000000000000000
χ524444-44-4-444-4-4-444-40000000000000000-2200002-2-222-200000000000000000000000000000000
χ534-4-44004-44-44-4000000004-44-400000000002-2000000002-2002-22-2000000000000000000000000
χ544-4-44004-44-44-4000000004-44-40000000000-2200000000-2200-22-22000000000000000000000000
χ554-4-44004-44-44-400000000-44-4400000000002-2000000002-200-22-22000000000000000000000000
χ564-4-44004-44-44-400000000-44-440000000000-2200000000-22002-22-2000000000000000000000000
χ574-4-44004-4-44-4400004-44-400000000000000002-2000000002-200002-22-200000000000000000000
χ584-4-44004-4-44-4400004-44-40000000000000000-2200000000-220000-22-2200000000000000000000
χ594-4-44004-4-44-440000-44-4400000000000000002-2000000002-20000-22-2200000000000000000000
χ604-4-44004-4-44-440000-44-440000000000000000-2200000000-2200002-22-200000000000000000000
χ614-4-4400-444-4-4400004-4-4400000000000000002-200000000-220000-222-200000000000000000000
χ624-4-4400-444-4-4400004-4-440000000000000000-22000000002-200002-2-2200000000000000000000
χ634-4-4400-444-4-440000-444-400000000000000002-200000000-2200002-2-2200000000000000000000
χ644-4-4400-444-4-440000-444-40000000000000000-22000000002-20000-222-200000000000000000000
χ654-4-4400-44-444-4000000004-4-4400000000002-200000000-2200-222-2000000000000000000000000
χ664-4-4400-44-444-4000000004-4-440000000000-22000000002-2002-2-22000000000000000000000000
χ674-4-4400-44-444-400000000-444-400000000002-200000000-22002-2-22000000000000000000000000
χ684-4-4400-44-444-400000000-444-40000000000-22000000002-200-222-2000000000000000000000000
χ6988-8-8080000000-80000000000000000000000000000000000000000000000004i−4i000000000000
χ7088-8-8080000000-8000000000000000000000000000000000000000000000000−4i4i000000000000
χ7188-8-80-800000008000000000000000000000000000000000000000000004-40000000000000000
χ7288-8-80-80000000800000000000000000000000000000000000000000000-440000000000000000
χ738-88-880000000-8000000000000000000000000000000000000000000000004i−4i00000000000000
χ748-88-880000000-800000000000000000000000000000000000000000000000−4i4i00000000000000
χ758-88-8-80000000800000000000000000000000000000000000000000004-4000000000000000000
χ768-88-8-8000000080000000000000000000000000000000000000000000-44000000000000000000

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