Finite Group Databasebeta

← Group #72304944

Character table — Group #72304944

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size11111111111111112222222244444444444444444444444488888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161632323232
order1222222222222222444444442222222222224444444444442222222244444444444444442222222244444444444488888888888888884444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11-11-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111-11-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11-11-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-11-11-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1
χ911111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-1-11-11-1
χ1011111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-11-11
χ1111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-11111-1-111-1-1-1-111-1-111-11-11
χ1211111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-11111-1-111-1-11-11-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-11111-111-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-11
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1-1-1111111-1-11111-1-1-1-11111-1-1-111-1
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111111-1-1111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-111-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11-1-1111-1-11111-1-11111-1-111-1-1-1-1111-1-11
χ17111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ18111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ19111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ20111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ21111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1111111-1-1-1-11111-1-11-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ22111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1111111-1-1-1-111-1-1111-11-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ23111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-111-1-1-11-1111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ24111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-111-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ25111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1111-11-1
χ26111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-111-1-111-1-111-1-111-1-1-11-11
χ27111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-11-11
χ28111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1111-11-1
χ29111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-111-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-1-11
χ30111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-111-111-1-1111111-1-1-1-11111-1-1-1-111-111-1
χ31111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-111-1-111-1-111111-1-11-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-111-1
χ32111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11-1-11-1-111111111-1-1-1-111-1-11111-1-11-1-11
χ332222222222222222-2-2-2-2-2-2-2-20000000022222222-2-2-2-2222200002222-2-20000-2-20000222200000000-2-2-2-20000000000000000000000000000
χ342222222222222222-2-2-2-2-2-2-2-20000000022222222-2-2-2-222220000-2-2-2-2-2-20000-2-20000-2-2-2-20000000022220000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2000000002222-2-2-2-22222-2-2-2-2000022-2-2-2-2000022000022-2-200000000-22-220000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2000000002222-2-2-2-22222-2-2-2-20000-2-222-2-20000220000-2-222000000002-22-20000000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-200000000-2-2-2-22222-2-2-2-2-2-2-2-200002222220000220000-2-2-2-20000000022-2-20000000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-200000000-2-2-2-22222-2-2-2-2-2-2-2-20000-2-2-2-2220000220000222200000000-2-2220000000000000000000000000000
χ392222222222222222-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-222222222000022-2-2220000-2-20000-2-222000000002-2-220000000000000000000000000000
χ402222222222222222-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2222222220000-2-222220000-2-2000022-2-200000000-222-20000000000000000000000000000
χ41222-2-2-2-222-2-2-2222-22-2-2-2222-22222-2-2-2-2000022-2-222-2-20000000000000022-2-200000000000000002-2000000002-200002-2002-2000000000000
χ42222-2-2-2-222-2-2-2222-22-2-2-2222-22222-2-2-2-2000022-2-222-2-20000000000000022-2-20000000000000000-2200000000-220000-2200-22000000000000
χ43222-2-2-2-222-2-2-2222-22-2-2-2222-22222-2-2-2-20000-2-222-2-22200000000000000-2-22200000000000000002-200000000-220000-22002-2000000000000
χ44222-2-2-2-222-2-2-2222-22-2-2-2222-22222-2-2-2-20000-2-222-2-22200000000000000-2-2220000000000000000-22000000002-200002-200-22000000000000
χ45222-2-2-2-222-2-2-2222-22-2-2-2222-2-2-2-2-22222000022-2-222-2-200000000000000-2-22200000000000000002-2000000002-20000-2200-22000000000000
χ46222-2-2-2-222-2-2-2222-22-2-2-2222-2-2-2-2-22222000022-2-222-2-200000000000000-2-2220000000000000000-2200000000-2200002-2002-2000000000000
χ47222-2-2-2-222-2-2-2222-22-2-2-2222-2-2-2-2-222220000-2-222-2-2220000000000000022-2-200000000000000002-200000000-2200002-200-22000000000000
χ48222-2-2-2-222-2-2-2222-22-2-2-2222-2-2-2-2-222220000-2-222-2-2220000000000000022-2-20000000000000000-22000000002-20000-22002-2000000000000
χ492-2-222-2-2-2-222-2222-2-22-2-222-2222-2-222-2-200002-22-22-22-2000000000000002-22-2000000000000002-20000000000002-22-2002-200000000000000
χ502-2-222-2-2-2-222-2222-2-22-2-222-2222-2-222-2-200002-22-22-22-2000000000000002-22-200000000000000-22000000000000-22-2200-2200000000000000
χ512-2-222-2-2-2-222-2222-2-22-2-222-2222-2-222-2-20000-22-22-22-2200000000000000-22-22000000000000002-2000000000000-222-200-2200000000000000
χ522-2-222-2-2-2-222-2222-2-22-2-222-2222-2-222-2-20000-22-22-22-2200000000000000-22-2200000000000000-220000000000002-2-22002-200000000000000
χ532-2-222-2-2-2-222-2222-2-22-2-222-22-2-222-2-22200002-22-22-22-200000000000000-22-22000000000000002-20000000000002-2-2200-2200000000000000
χ542-2-222-2-2-2-222-2222-2-22-2-222-22-2-222-2-22200002-22-22-22-200000000000000-22-2200000000000000-22000000000000-222-2002-200000000000000
χ552-2-222-2-2-2-222-2222-2-22-2-222-22-2-222-2-2220000-22-22-22-22000000000000002-22-2000000000000002-2000000000000-22-22002-200000000000000
χ562-2-222-2-2-2-222-2222-2-22-2-222-22-2-222-2-2220000-22-22-22-22000000000000002-22-200000000000000-220000000000002-22-200-2200000000000000
χ572-2-2-2-222-2-2-2-22222222-2-2-2-2220000000022-2-22-2-22-222-222-2-2000000002-200002-2000000002-22-2000000002-22-2000000000000000000000000
χ582-2-2-2-222-2-2-2-22222222-2-2-2-2220000000022-2-22-2-22-222-222-2-2000000002-200002-200000000-22-2200000000-22-22000000000000000000000000
χ592-2-2-2-222-2-2-2-22222222-2-2-2-2220000000022-2-2-222-22-2-22-2-222000000002-20000-22000000002-2-22000000002-2-22000000000000000000000000
χ602-2-2-2-222-2-2-2-22222222-2-2-2-2220000000022-2-2-222-22-2-22-2-222000000002-20000-2200000000-222-200000000-222-2000000000000000000000000
χ612-2-2-2-222-2-2-2-22222222-2-2-2-22200000000-2-2222-2-22-222-2-2-22200000000-220000-22000000002-22-200000000-22-22000000000000000000000000
χ622-2-2-2-222-2-2-2-22222222-2-2-2-22200000000-2-2222-2-22-222-2-2-22200000000-220000-2200000000-22-22000000002-22-2000000000000000000000000
χ632-2-2-2-222-2-2-2-22222222-2-2-2-22200000000-2-222-222-22-2-2222-2-200000000-2200002-2000000002-2-2200000000-222-2000000000000000000000000
χ642-2-2-2-222-2-2-2-22222222-2-2-2-22200000000-2-222-222-22-2-2222-2-200000000-2200002-200000000-222-2000000002-2-22000000000000000000000000
χ652-2-2-2-222-2-2-2-222222-2-22222-2-222-2-2-2-22222-2-22-2-222-2-2222-2-222-2-20000-222-2-22-2222-2-200000000000000000000000000000000000000000000
χ662-2-2-2-222-2-2-2-222222-2-22222-2-222-2-2-2-22222-2-2-222-2-222-2-2-22222-2-20000-22-222-22-2-2-22200000000000000000000000000000000000000000000
χ672-2-2-2-222-2-2-2-222222-2-22222-2-222-2-2-2-222-2-2222-2-222-2-22-2-222-2-22200002-22-2-222-2-2-22200000000000000000000000000000000000000000000
χ682-2-2-2-222-2-2-2-222222-2-22222-2-222-2-2-2-222-2-222-222-2-222-222-2-2-2-22200002-2-222-2-2222-2-200000000000000000000000000000000000000000000
χ692-2-2-2-222-2-2-2-222222-2-22222-2-2-2-22222-2-222-2-22-2-222-2-2222-2-2-2-2220000-22-222-2-22-2-22200000000000000000000000000000000000000000000
χ702-2-2-2-222-2-2-2-222222-2-22222-2-2-2-22222-2-222-2-2-222-2-222-2-2-222-2-2220000-222-2-222-222-2-200000000000000000000000000000000000000000000
χ712-2-2-2-222-2-2-2-222222-2-22222-2-2-2-22222-2-2-2-2222-2-222-2-22-2-22222-2-200002-2-222-22-222-2-200000000000000000000000000000000000000000000
χ722-2-2-2-222-2-2-2-222222-2-22222-2-2-2-22222-2-2-2-222-222-2-222-222-2-222-2-200002-22-2-22-22-2-22200000000000000000000000000000000000000000000
χ734444444-4-4-4-4-44-4-4-4444-44-4-4-44-44-44-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ744444444-4-4-4-4-44-4-4-4444-44-4-4-4-44-44-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ754444444-4-4-4-4-44-4-4-4-4-4-44-444400000000000000000000000000000000000000004i−4i4i−4i00000000000000000000000000000000000000000000
χ764444444-4-4-4-4-44-4-4-4-4-4-44-44440000000000000000000000000000000000000000−4i4i−4i4i00000000000000000000000000000000000000000000
χ77444-4-4-4-444-4-4-4444-4-4444-4-4-4400000000000044-4-4-4-44400000000000000000000000000000000000000000000000000000000000000000000
χ78444-4-4-4-444-4-4-4444-4-4444-4-4-44000000000000-4-44444-4-400000000000000000000000000000000000000000000000000000000000000000000
χ79444-4-4-4-4-4-44444-4-444-4-444-4-444-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ80444-4-4-4-4-4-44444-4-444-4-444-4-44-44-444-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ81444-4-4-4-4-4-44444-4-44-444-4-444-40000000000000000000000004-44-4000000000000000000000000000000000000000000000000000000000000
χ82444-4-4-4-4-4-44444-4-44-444-4-444-4000000000000000000000000-44-44000000000000000000000000000000000000000000000000000000000000
χ8344-44-44-44-44-4-4-44-4400000000000000000000000000004-44-40000004-40000000000004-4000000000000000000000000000000000000000000
χ8444-44-44-44-44-4-4-44-4400000000000000000000000000004-44-4000000-44000000000000-44000000000000000000000000000000000000000000
χ8544-44-44-44-44-4-4-44-440000000000000000000000000000-44-440000004-4000000000000-44000000000000000000000000000000000000000000
χ8644-44-44-44-44-4-4-44-440000000000000000000000000000-44-44000000-440000000000004-4000000000000000000000000000000000000000000
χ8744-4-44-44-444-4-4-4-44400000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000000022−2222−220000
χ8844-4-44-44-444-4-4-4-44400000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000000−2222−22220000
χ8944-4-44-44-444-4-4-4-4440000000000000000-44-440000000000000000000000000000000000000000000000000000000000000000000022−22−22220000
χ9044-4-44-44-444-4-4-4-4440000000000000000-44-4400000000000000000000000000000000000000000000000000000000000000000000−222222−220000
χ914-444-4-444-4-44-4-4-44400000000000000004-4-44000000000000000000000000000000000000000000000000000000000000000022−2222−2200000000
χ924-444-4-444-4-44-4-4-44400000000000000004-4-440000000000000000000000000000000000000000000000000000000000000000−2222−222200000000
χ934-444-4-444-4-44-4-4-4440000000000000000-444-4000000000000000000000000000000000000000000000000000000000000000022−22−222200000000
χ944-444-4-444-4-44-4-4-4440000000000000000-444-40000000000000000000000000000000000000000000000000000000000000000−222222−2200000000
χ954-44-444-4-44-44-4-44-4400000000000000000000000000004-4-4400004-400000000000000004-40000000000000000000000000000000000000000
χ964-44-444-4-44-44-4-44-4400000000000000000000000000004-4-440000-440000000000000000-440000000000000000000000000000000000000000
χ974-44-444-4-44-44-4-44-440000000000000000000000000000-444-400004-40000000000000000-440000000000000000000000000000000000000000
χ984-44-444-4-44-44-4-44-440000000000000000000000000000-444-40000-4400000000000000004-40000000000000000000000000000000000000000
χ994-4-444-4-444-4-444-4-444-44-4-44-440000000000000000000000004-4-44000000000000000000000000000000000000000000000000000000000000
χ1004-4-444-4-444-4-444-4-444-44-4-44-44000000000000000000000000-444-4000000000000000000000000000000000000000000000000000000000000
χ1014-4-444-4-444-4-444-4-44-44-444-44-44-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-444-4-444-4-444-4-44-44-444-44-4-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-444-4-4-4-444-4444-44-444-4-44-40000000000004-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-444-4-4-4-444-4444-44-444-4-44-4000000000000-44-444-44-400000000000000000000000000000000000000000000000000000000000000000000
χ1054-4-4-4-4444444-44-4-4-444-44-44-4-400000000000000000000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000
χ1064-4-4-4-4444444-44-4-4-444-44-44-4-40000000000000000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000
χ1074-4-4-4-4444444-44-4-4-4-4-44-44-4444-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1084-4-4-4-4444444-44-4-4-4-4-44-44-444-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-88-88-8-88-888-8-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-88-888-8-888-88-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-888-8-88-888-88-88-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-888-88-88-88-8-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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