Finite Group Databasebeta

← Group #72314847

Character table — Group #72314847

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1122222224444448888888888888881616161616161616161616161616161616161616161616161616323232323232323232323232323264646464646464646464646464646464
order12222222222222222222222222444422222244444444444444444444444444444444444444444444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1
χ911111111111111111111-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ1011111111111111111111-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111
χ1111111111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111111
χ1211111111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1
χ1311111111111111111111-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ1411111111111111111111-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1
χ1511111111111111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-1
χ1611111111111111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ1722222222222222222-2-2-200002-2-2-2-2-2002-2002-2000000000022-2-200000022-2-2000022-2-20000000000000000
χ1822222222222222222-2-2-200002-2-2-2-2-2002-2002-2000000000022-2-2000000-2-2220000-2-2220000000000000000
χ1922222222222222222-2-2-200002-2-2-2-2-200-2200-220000000000-2-22200000022-2-20000-2-2220000000000000000
χ2022222222222222222-2-2-200002-2-2-2-2-200-2200-220000000000-2-222000000-2-222000022-2-20000000000000000
χ2122222222222-2-222-2-222-20000-2-2-222-2002200220000000000-2-2-2-2000000000022-2-2000000002-20000000000
χ2222222222222-2-222-2-222-20000-2-2-222-2002200220000000000-2-2-2-20000000000-2-22200000000-220000000000
χ2322222222222-2-222-2-222-20000-2-2-222-200-2-200-2-200000000002222000000000022-2-200000000-220000000000
χ2422222222222-2-222-2-222-20000-2-2-222-200-2-200-2-2000000000022220000000000-2-222000000002-20000000000
χ2522222222222-2-222-2-2-2-220000-222-2-22002-2002-20022220000-2-2220000-2-2000000000000002-2000000000000
χ2622222222222-2-222-2-2-2-220000-222-2-22002-2002-200-2-2-2-20000-2-22200002200000000000000-22000000000000
χ2722222222222-2-222-2-2-2-220000-222-2-2200-2200-22002222000022-2-20000-2-200000000000000-22000000000000
χ2822222222222-2-222-2-2-2-220000-222-2-2200-2200-2200-2-2-2-2000022-2-2000022000000000000002-2000000000000
χ29222222222-2-222-2-22-22222222-22-2-2-2-222000000000000-2-2-2-2000000000000002i−2i2i−2i0000000000000000002i−2i
χ30222222222-2-222-2-22-22222222-22-2-2-2-222000000000000-2-2-2-200000000000000−2i2i−2i2i000000000000000000−2i2i
χ31222222222-2-222-2-22-2222-2-2-2-2-22-2-2-2-2-2-20000000000002222000000000000002i−2i2i−2i000000000000000000−2i2i
χ32222222222-2-222-2-22-2222-2-2-2-2-22-2-2-2-2-2-2000000000000222200000000000000−2i2i−2i2i0000000000000000002i−2i
χ33222222222-2-2-2-2-2-2-2222-200002-22-2-220000220022000000000000-2-2-2-20000002i−2i−2i2i00000000000000002i−2i00
χ34222222222-2-2-2-2-2-2-2222-200002-22-2-220000220022000000000000-2-2-2-2000000−2i2i2i−2i0000000000000000−2i2i00
χ35222222222-2-2-2-2-2-2-2222-200002-22-2-220000-2-200-2-200000000000022220000002i−2i−2i2i0000000000000000−2i2i00
χ36222222222-2-2-2-2-2-2-2222-200002-22-2-220000-2-200-2-20000000000002222000000−2i2i2i−2i00000000000000002i−2i00
χ37222-2-22-2-222222-2-2-222-2222-2-2-2-222-2-22-2000000002i2i−2i−2i22-2-2000000002i−2i0000000000000000002i−2i00000000
χ38222-2-22-2-222222-2-2-222-2222-2-2-2-222-2-22-200000000−2i−2i2i2i22-2-200000000−2i2i000000000000000000−2i2i00000000
χ39222-2-22-2-222222-2-2-222-22-2-222-2-222-2-2-22000000002i2i−2i−2i-2-222000000002i−2i000000000000000000−2i2i00000000
χ40222-2-22-2-222222-2-2-222-22-2-222-2-222-2-2-2200000000−2i−2i2i2i-2-22200000000−2i2i0000000000000000002i−2i00000000
χ41222-2-22-2-2222-2-2-2-22-2-22200002-22-22-200002-2002-22i2i−2i−2i0000000022-2-2−2i2i00000000000000000000002i−2i0000
χ42222-2-22-2-2222-2-2-2-22-2-22200002-22-22-200002-2002-2−2i−2i2i2i0000000022-2-22i−2i0000000000000000000000−2i2i0000
χ43222-2-22-2-2222-2-2-2-22-2-22200002-22-22-20000-2200-222i2i−2i−2i00000000-2-222−2i2i0000000000000000000000−2i2i0000
χ44222-2-22-2-2222-2-2-2-22-2-22200002-22-22-20000-2200-22−2i−2i2i2i00000000-2-2222i−2i00000000000000000000002i−2i0000
χ45222-2-22-2-22-2-22222-2-22-2222-2-22-2-2-2222-2000000000000-2-2220000000000000000002-22-2000000002-2000000
χ46222-2-22-2-22-2-22222-2-22-2222-2-22-2-2-2222-2000000000000-2-222000000000000000000-22-2200000000-22000000
χ47222-2-22-2-22-2-22222-2-22-22-2-2222-2-2-222-2200000000000022-2-20000000000000000002-22-200000000-22000000
χ48222-2-22-2-22-2-22222-2-22-22-2-2222-2-2-222-2200000000000022-2-2000000000000000000-22-22000000002-2000000
χ49222-2-22-2-22-2-22222-2-2-22-200002222-2-200002-2002-2000000000000-2-22200000000002-2-222-200000000000000
χ50222-2-22-2-22-2-22222-2-2-22-200002222-2-200002-2002-2000000000000-2-2220000000000-222-2-2200000000000000
χ51222-2-22-2-22-2-22222-2-2-22-200002222-2-20000-2200-2200000000000022-2-200000000002-2-22-2200000000000000
χ52222-2-22-2-22-2-22222-2-2-22-200002222-2-20000-2200-2200000000000022-2-20000000000-222-22-200000000000000
χ53444444444-4-444-4-44-4-4-4-40000-4-4444400000000000000000000000000000000000000000000000000000000
χ54444444444-4-4-4-4-4-4-44-4-44000044-444-400000000000000000000000000000000000000000000000000000000
χ55444-4-44-4-444444-4-4-44-44-40000-44-4-44400000000000000000000000000000000000000000000000000000000
χ56444-4-44-4-4444-4-4-4-44-44-4-4000044-44-4400000000000000000000000000000000000000000000000000000000
χ57444-4-44-4-44-4-4-4-444444-4-40000-444-44-400000000000000000000000000000000000000000000000000000000
χ58444-4-44-4-44-4-4-4-44444-4440000-4-4-44-4400000000000000000000000000000000000000000000000000000000
χ5944-44-4-44-444-4004-4000002222000000-2-204220-4-2-200002-22-200002-22-2000000000000000000000000000000
χ6044-44-4-44-444-4004-4000002222000000-2-20-4-2-2042200002-22-20000-22-22000000000000000000000000000000
χ6144-44-4-44-444-4004-400000-2-2-2-20000002204-2-20-4220000-22-220000-22-22000000000000000000000000000000
χ6244-44-4-44-444-4004-400000-2-2-2-2000000220-42204-2-20000-22-2200002-22-2000000000000000000000000000000
χ6344-44-4-44-44-4400-44000002222000000-2-24022-40-2-20000-22-220000-22-22000000000000000000000000000000
χ6444-44-4-44-44-4400-44000002222000000-2-2-40-2-240220000-22-2200002-22-2000000000000000000000000000000
χ6544-44-4-44-44-4400-4400000-2-2-2-20000002240-2-2-402200002-22-200002-22-2000000000000000000000000000000
χ6644-44-4-44-44-4400-4400000-2-2-2-200000022-402240-2-200002-22-20000-22-22000000000000000000000000000000
χ6744-4-44-4-4444-400-440000022-2-2000000-22002-200-2200002-2-224-4002-2-22000000000000000000000000000000
χ6844-4-44-4-4444-400-440000022-2-2000000-2200-22002-200002-2-22-4400-222-2000000000000000000000000000000
χ6944-4-44-4-4444-400-4400000-2-2220000002-2002-200-220000-222-2-44002-2-22000000000000000000000000000000
χ7044-4-44-4-4444-400-4400000-2-2220000002-200-22002-20000-222-24-400-222-2000000000000000000000000000000
χ7144-4-44-4-444-44004-40000022-2-2000000-22002-200-220000-222-2004-4-222-2000000000000000000000000000000
χ7244-4-44-4-444-44004-40000022-2-2000000-2200-22002-20000-222-200-442-2-22000000000000000000000000000000
χ7344-4-44-4-444-44004-400000-2-2220000002-2002-200-2200002-2-2200-44-222-2000000000000000000000000000000
χ7444-4-44-4-444-44004-400000-2-2220000002-200-22002-200002-2-22004-42-2-22000000000000000000000000000000
χ758888-8-8-88-800000000000000000000000000000000000000000000000004i−4i00000000000000000000000000
χ768888-8-8-88-80000000000000000000000000000000000000000000000000−4i4i00000000000000000000000000
χ77888-88-88-8-80000000000000000000000000000000000000000000000000004i−4i000000000000000000000000
χ78888-88-88-8-8000000000000000000000000000000000000000000000000000−4i4i000000000000000000000000
χ7988-8888-8-8-800000000000000000000000000000004i−4i4i−4i000000000000000000000000000000000000000000
χ8088-8888-8-8-80000000000000000000000000000000−4i4i−4i4i000000000000000000000000000000000000000000
χ8188-8-8-8888-800000000000000000000000000000004-4-44000000000000000000000000000000000000000000
χ8288-8-8-8888-80000000000000000000000000000000-444-4000000000000000000000000000000000000000000
χ8316-160000000008-80000000008-800000000000000000000000000000000000000000000000000000000000000
χ8416-160000000008-8000000000-8800000000000000000000000000000000000000000000000000000000000000
χ8516-16000000000-8800000008-80000000000000000000000000000000000000000000000000000000000000000
χ8616-16000000000-880000000-880000000000000000000000000000000000000000000000000000000000000000

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