Finite Group Databasebeta

← Group #72271430

Character table — Group #72271430

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113
size11111111222244444444444444444488888888888888888161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232646464646464
order12222222222244444444444444444422224444444444444444444444444444444444444444444222222444444444444888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1
χ911111111111111111-1-1-1-1111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11-11-1111-11-1-1-11-11-1111111-1-111-1-1-1-11-11-1
χ1011111111111111111-1-1-1-1111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-11-1111-11-11-1-1-11-111111-1-111-1-111-1-1-11-11
χ1111111111111111111-1-1-1-1111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111-1-11-1-11-1-11111-1-11-1-1-1-111-1-1-1-111111-1-11
χ1211111111111111111-1-1-1-1111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-111-111-111-1-1-1-1-1-1-11111-1-111-111-1
χ1311111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-111-1-1-1-11-11-1111-11-1-1-11-11-1-1-1-1-1-1-111-1-11111-11-11
χ1411111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111-1-111-1-1-11-1111-11-11-1-1-11-11-1-1-1-111-1-111-1-1111-11-1
χ1511111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111-1-11-1-11-1-11111-1-111111-1-11111-1-1-1-1-111-1
χ1611111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-111-1-1-1-111-111-111-1111111-1-1-1-111-1-11-1-11
χ17111111111111111-1-111-1-111111111111111111-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1111111-1-11-1-1-1-111-1111-11-1-1-1-1111-1-1111111-1-11-1-1-1-11
χ18111111111111111-1-111-1-111111111111111111-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111-1111-11-1-1-1-111-1111-111-1-1-1-1-1-1-1-1111-1111-1
χ19111111111111111-1-111-1-111111111111111111-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-11-1-11-1-1111-11-11-1-11-1-1-1111111-1-111-11-1-11-1
χ20111111111111111-1-111-1-111111111111111111-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1111-11-11-1-11-1-1111-11-1-111-1-1-1-111-1-1-1111-11
χ21111111111111111-1-111-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-1111111-1-11-1-1-1-111-1111-11-1-1-1-11-1-111-1-1-1-1-1-111-11111-1
χ22111111111111111-1-111-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111-1111-11-1-1-1-111-1111-1-1-111111111-1-1-11-1-1-11
χ23111111111111111-1-111-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1111111-1-111-11-1-11-1-1111-11-11-1-11-111-1-1-1-1-1-111-1-11-111-11
χ24111111111111111-1-111-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1111-11-11-1-11-1-1111-1111-1-11111-1-1111-1-1-11-1
χ25111111111111111-1-1-1-11111111111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-11111-11-11-1-11-11-111-11-11-1-111-1-111-1-11111-11-11-1-1
χ26111111111111111-1-1-1-11111111111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-111-1111-1-11-1-1-111-11111-1-1-1-111-1-1-1-1-111-111
χ27111111111111111-1-1-1-11111111111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-11-1-1111-111-1-1-11-1-1111-1-11111-1-1-1-1-1-11-1-1111
χ28111111111111111-1-1-1-11111111111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-11111111-11-1-1-1-11-11111-11-1-1-1-1-111-1-11111111-11-1-1-1
χ29111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-111-1-11111-11-11-1-11-11-111-11-11-1-1-1-111-1-111-1-1-1-11-11-111
χ30111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-111-1111-1-11-1-1-111-111-1-11111-1-111111-1-11-1-1
χ31111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-1-1111-111-1-1-11-1-111111-1-1-1-1111111-111-1-1-1
χ32111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-11111111-11-1-1-1-11-11111-11-1-1-111-1-111-1-1-1-1-1-1-11-1111
χ332222222222222-2-222222222-2-2-2-22-2-20000000022222-2-2-2-2000000-2-22-22-2000000222200000000-2-20000-2-20000220000000000000000000000
χ342222222222222-2-222222222-2-2-2-22-2-20000000022222-2-2-2-2000000-2-22-22-2000000-2-2-2-200000000220000220000-2-20000000000000000000000
χ352222222222222-2-222-2-2-2-222-2-2-2-22-2-2000000002-2-2222222000000-2-2-22-22000000222200000000220000-2-20000-2-20000000000000000000000
χ362222222222222-2-222-2-2-2-222-2-2-2-22-2-2000000002-2-2222222000000-2-2-22-22000000-2-2-2-200000000-2-20000220000220000000000000000000000
χ372222222222222-2-2-2-222-2-222-2-2-2-22-2-200000000-22-2-2-2-2-222000000222-2-2200000022-2-200000000-220000-2200002-20000000000000000000000
χ382222222222222-2-2-2-222-2-222-2-2-2-22-2-200000000-22-2-2-2-2-222000000222-2-22000000-2-222000000002-200002-20000-220000000000000000000000
χ392222222222222-2-2-2-2-2-22222-2-2-2-22-2-200000000-2-22-2-222-2-200000022-222-200000022-2-2000000002-20000-220000-220000000000000000000000
χ402222222222222-2-2-2-2-2-22222-2-2-2-22-2-200000000-2-22-2-222-2-200000022-222-2000000-2-22200000000-2200002-200002-20000000000000000000000
χ41222222222222-22-2222222-2-222-2-2-22-200000000222-2-222-2-20000002-2-2-2-2200000000002222000000-2-20000-2-200002200000000000000000000
χ42222222222222-22-2222222-2-222-2-2-22-200000000222-2-222-2-20000002-2-2-2-220000000000-2-2-2-2000000220000220000-2-200000000000000000000
χ43222222222222-22-222-2-2-2-2-2-222-2-2-22-2000000002-2-2-2-2-2-2220000002-2222-2000000000022-2-2000000-220000-2200002-200000000000000000000
χ44222222222222-22-222-2-2-2-2-2-222-2-2-22-2000000002-2-2-2-2-2-2220000002-2222-20000000000-2-2220000002-200002-20000-2200000000000000000000
χ45222222222222-22-2-2-222-2-2-2-222-2-2-22-200000000-22-2222222000000-22-2-22-200000000002222000000220000-2-20000-2-200000000000000000000
χ46222222222222-22-2-2-222-2-2-2-222-2-2-22-200000000-22-2222222000000-22-2-22-20000000000-2-2-2-2000000-2-200002200002200000000000000000000
χ47222222222222-22-2-2-2-2-222-2-222-2-2-22-200000000-2-2222-2-2-2-2000000-2222-22000000000022-2-20000002-20000-220000-2200000000000000000000
χ48222222222222-22-2-2-2-2-222-2-222-2-2-22-200000000-2-2222-2-2-2-2000000-2222-220000000000-2-222000000-2200002-200002-200000000000000000000
χ49222222222222-2-22222222-2-2-2-222-2-2200000000222-2-2-2-222000000-22-22-2-20000000000000022220000-2-20000-2-2000022000000000000000000
χ50222222222222-2-22222222-2-2-2-222-2-2200000000222-2-2-2-222000000-22-22-2-200000000000000-2-2-2-20000220000220000-2-2000000000000000000
χ51222222222222-2-2222-2-2-2-2-2-2-2-222-2-22000000002-2-2-2-222-2-2000000-222-2220000000000000022-2-20000-220000-2200002-2000000000000000000
χ52222222222222-2-2222-2-2-2-2-2-2-2-222-2-22000000002-2-2-2-222-2-2000000-222-22200000000000000-2-22200002-200002-20000-22000000000000000000
χ53222222222222-2-22-2-222-2-2-2-2-2-222-2-2200000000-22-222-2-2-2-20000002-2-22220000000000000022-2-200002-20000-220000-22000000000000000000
χ54222222222222-2-22-2-222-2-2-2-2-2-222-2-2200000000-22-222-2-2-2-20000002-2-222200000000000000-2-2220000-2200002-200002-2000000000000000000
χ55222222222222-2-22-2-2-2-222-2-2-2-222-2-2200000000-2-222222220000002-22-2-2-20000000000000022220000220000-2-20000-2-2000000000000000000
χ56222222222222-2-22-2-2-2-222-2-2-2-222-2-2200000000-2-222222220000002-22-2-2-200000000000000-2-2-2-20000-2-2000022000022000000000000000000
χ5744444444-4-4-4-40004444440000000002222-2-2-2-2-4-4-4000000222222000000-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ5844444444-4-4-4-4000444444000000000-2-2-2-22222-4-4-4000000-2-2-2-2-2-2000000222222000000000000000000000000000000000000000000000000
χ5944444444-4-4-4-400044-4-4-4-40000000002222-2-2-2-2-44400000022-2-2-2-2000000-2-22222000000000000000000000000000000000000000000000000
χ6044444444-4-4-4-400044-4-4-4-4000000000-2-2-2-22222-444000000-2-2222200000022-2-2-2-2000000000000000000000000000000000000000000000000
χ6144444444-4-4-4-4000-4-444-4-40000000002222-2-2-2-24-44000000-2-222-2-200000022-2-222000000000000000000000000000000000000000000000000
χ6244444444-4-4-4-4000-4-444-4-4000000000-2-2-2-222224-4400000022-2-222000000-2-222-2-2000000000000000000000000000000000000000000000000
χ6344444444-4-4-4-4000-4-4-4-4440000000002222-2-2-2-244-4000000-2-2-2-2220000002222-2-2000000000000000000000000000000000000000000000000
χ6444444444-4-4-4-4000-4-4-4-444000000000-2-2-2-2222244-40000002222-2-2000000-2-2-2-222000000000000000000000000000000000000000000000000
χ6544-444-4-4-4-44-4444-40000004-44-44-4-4-440000000000000000000000000000000000000000000000000000000000000000000000000004i−4i000000
χ6644-444-4-4-4-44-4444-40000004-44-44-4-4-44000000000000000000000000000000000000000000000000000000000000000000000000000−4i4i000000
χ6744-444-4-4-4-44-444-440000004-4-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000004i−4i0000000000
χ6844-444-4-4-4-44-444-440000004-4-44-44-44-400000000000000000000000000000000000000000000000000000000000000000000000−4i4i0000000000
χ6944-444-4-4-4-44-44-444000000-444-4-444-4-400000000000000000000000000000000000000000000000000000000000000000004i−4i00000000000000
χ7044-444-4-4-4-44-44-444000000-444-4-444-4-40000000000000000000000000000000000000000000000000000000000000000000−4i4i00000000000000
χ7144-444-4-4-4-44-44-4-4-4000000-44-444-444444-4-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ7244-444-4-4-4-44-44-4-4-4000000-44-444-4444-4-444-4-444000000000000000000000000000000000000000000000000000000000000000000000000000
χ734-444-44-4-4-4-44444-4000000-44-44-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000004i−4i00000000
χ744-444-44-4-4-4-44444-4000000-44-44-44-4-440000000000000000000000000000000000000000000000000000000000000000000000000−4i4i00000000
χ754-444-44-4-4-4-4444-44000000-444-44-4-44-40000000000000000000000000000000000000000000000000000000000000000000004i−4i000000000000
χ764-444-44-4-4-4-4444-44000000-444-44-4-44-4000000000000000000000000000000000000000000000000000000000000000000000−4i4i000000000000
χ774-444-44-4-4-4-444-4440000004-4-444-44-4-4000000000000000000000000000000000000000000000000000000000000000004i−4i0000000000000000
χ784-444-44-4-4-4-444-4440000004-4-444-44-4-400000000000000000000000000000000000000000000000000000000000000000−4i4i0000000000000000
χ794-444-44-4-4-4-444-4-4-40000004-44-4-444444-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ804-444-44-4-4-4-444-4-4-40000004-44-4-44444-44-44-44-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ814-4-44-4-4444-4-44444000000-4-4-4-4-4-44444-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ824-4-44-4-4444-4-44444000000-4-4-4-4-4-4444-444-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ834-4-44-4-4444-4-444-4-4000000-4-444444-4-4000000000000000004-400000000004-40000000000000000000000000000000000000000000000000000
χ844-4-44-4-4444-4-444-4-4000000-4-444444-4-400000000000000000-440000000000-440000000000000000000000000000000000000000000000000000
χ854-4-44-4-4444-4-44-44-400000044-4-444-44-400000000000000000004-400000000004-400000000000000000000000000000000000000000000000000
χ864-4-44-4-4444-4-44-44-400000044-4-444-44-40000000000000000000-440000000000-4400000000000000000000000000000000000000000000000000
χ874-4-44-4-4444-4-44-4-440000004444-4-4-4-440000000000000000000004-400000000004-4000000000000000000000000000000000000000000000000
χ884-4-44-4-4444-4-44-4-440000004444-4-4-4-44000000000000000000000-440000000000-44000000000000000000000000000000000000000000000000
χ894-4-44-4-444-444-40000000000000000002-2-22-222-20004-44-44-42-22-22-2000000-22-22-22000000000000000000000000000000000000000000000000
χ904-4-44-4-444-444-40000000000000000002-2-22-222-20004-4-44-442-2-22-22000000-222-22-2000000000000000000000000000000000000000000000000
χ914-4-44-4-444-444-40000000000000000002-2-22-222-2000-444-4-44-222-2-220000002-2-222-2000000000000000000000000000000000000000000000000
χ924-4-44-4-444-444-40000000000000000002-2-22-222-2000-44-444-4-22-222-20000002-22-2-22000000000000000000000000000000000000000000000000
χ934-4-44-4-444-444-4000000000000000000-222-22-2-220004-44-44-4-22-22-220000002-22-22-2000000000000000000000000000000000000000000000000
χ944-4-44-4-444-444-4000000000000000000-222-22-2-220004-4-44-44-222-22-20000002-2-22-22000000000000000000000000000000000000000000000000
χ954-4-44-4-444-444-4000000000000000000-222-22-2-22000-444-4-442-2-222-2000000-222-2-22000000000000000000000000000000000000000000000000
χ964-4-44-4-444-444-4000000000000000000-222-22-2-22000-44-444-42-22-2-22000000-22-222-2000000000000000000000000000000000000000000000000
χ9788-888-8-8-88-88-800000000000000000044-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-888-8-8-88-88-8000000000000000000-4-44444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-88-880000000000000000000000000000000000000000000000000000000004-4004-4004-400000000000000000000000000000000000000
χ10088-8-8-88-880000000000000000000000000000000000000000000000000000000004-400-4400-4400000000000000000000000000000000000000
χ10188-8-8-88-88000000000000000000000000000000000000000000000000000000000-44004-400-4400000000000000000000000000000000000000
χ10288-8-8-88-88000000000000000000000000000000000000000000000000000000000-4400-44004-400000000000000000000000000000000000000
χ1038-888-88-8-888-8-80000000000000000004-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-888-88-8-888-8-8000000000000000000-44-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-88-8-88000000000000000000000000000000000000000000000000000000000004-4004-4004-4000000000000000000000000000000000000
χ1068-88-88-8-88000000000000000000000000000000000000000000000000000000000004-400-4400-44000000000000000000000000000000000000
χ1078-88-88-8-8800000000000000000000000000000000000000000000000000000000000-44004-400-44000000000000000000000000000000000000
χ1088-88-88-8-8800000000000000000000000000000000000000000000000000000000000-4400-44004-4000000000000000000000000000000000000
χ1098-8-8-8888-800000008-88-88-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-8-8888-800000008-8-88-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-8-8888-80000000-888-8-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-8-8888-80000000-88-888-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ113161616-16-16-1616-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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