Finite Group Databasebeta

← Group #72316164

Character table — Group #72316164

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size111122222222224444444444444444444444444444444444888888888888888888888888888888888888888888881616161616161616323232323232323232323232
order1222222222444422224444444444444444444444444444442222222222224444444444444444444444444444444422448888444444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ711111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ911111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ1011111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1
χ1111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111-1-1
χ1211111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111
χ1311111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1
χ1411111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1511111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111
χ1611111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1
χ171111111111-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-11-111-1-111-1-11-11-11-111-1-111-1-111-1-11-111-1-11111-1-1-1-111-1-111-1-11-11-11-11-11-11-1
χ181111111111-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-11-111-1-111-1-11-11-11-111-1-111-1-111-1-11-111-1-11111-1-1-1-1-1-111-1-111-11-11-11-11-11-11
χ191111111111-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-11-1-1-111-1-1111-11-11-1-1-111-1-111-1-1111-1-1-111-1-1-1-1111111-1-1-1-1111-11-11-1-11-11-11
χ201111111111-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-11-1-1-111-1-1111-11-11-1-1-111-1-111-1-1111-1-1-111-1-1-1-11111-1-11111-1-1-11-11-111-11-11-1
χ211111111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111111-11-1111-1-111-1-11-1-11-1111-1-111-1-1-1-1111-1-1-111-1-1-1-1111111-1-1-1-1111-1-11-111-11-1-11
χ221111111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111111-11-1111-1-111-1-11-1-11-1111-1-111-1-1-1-1111-1-1-111-1-1-1-11111-1-11111-1-1-111-11-1-11-111-1
χ231111111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111111-11-11-1-111-1-1111-1-11-11-1-111-1-11111-1-11-111-1-11111-1-1-1-111-1-111-1-11-1-11-11-11-111-1
χ241111111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111111-11-11-1-111-1-1111-1-11-11-1-111-1-11111-1-11-111-1-11111-1-1-1-1-1-111-1-111-111-11-11-11-1-11
χ251111111111-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1111-1-1-1-111-111-1-1111-1-1-1-11111-1-1-1111-1-1-1-1-1-1111111-1-1-1-111-111-1-111-1-111-1
χ261111111111-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1111-1-1-1-111-111-1-1111-1-1-1-11111-1-1-1111-1-1-1-1-1-11111-1-11111-1-11-1-111-1-111-1-11
χ271111111111-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11-1-11111-1-1-111-1-11-1-11111-1-1-1-111-11-1-1111111-1-1-1-111-1-111-1-1-111-1-11-111-1-11
χ281111111111-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11-1-11111-1-1-111-1-11-1-11111-1-1-1-111-11-1-1111111-1-1-1-1-1-111-1-1111-1-111-11-1-111-1
χ291111111111-1-111-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1111-111-111-1-1-1-111-11-111-111-1-1-1-111-1-111-11-1-1111111-1-1-1-111-1-111-1-1-11-111-11-1-11-11
χ301111111111-1-111-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1111-111-111-1-1-1-111-11-111-111-1-1-1-111-1-111-11-1-1111111-1-1-1-1-1-111-1-1111-11-1-11-111-11-1
χ311111111111-1-111-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1111-111-1-1-11111-1-1-11-111-1-1-11111-1-111-1-1-1111-1-1-1-1-1-1111111-1-1-1-111-11-111-1-111-11-1
χ321111111111-1-111-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1111-111-1-1-11111-1-1-11-111-1-1-11111-1-111-1-1-1111-1-1-1-1-1-11111-1-11111-1-11-11-1-111-1-11-11
χ33222222222222-2-222-2-2222-2-2-2-222-2-222-2-222-2-222-2-222-2-2-2-2-2-22-2200000000-22-22-22000000000000-2200000000000000000000000000000000
χ34222222222222-2-222-2-2222-2-2-2-222-2-2-2-222-2-222-2-222-2-222-2-2-22-22-200000000-222-22-2000000000000-2200000000000000000000000000000000
χ35222222222222-2-2-2-222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-222-2-2-2-222-2000000002-2-222-20000000000002-200000000000000000000000000000000
χ36222222222222-2-2-2-222222-2-2-2-2-2-222-2-22222-2-2-2-22222-2-2-2-2-22-2-22000000002-22-2-220000000000002-200000000000000000000000000000000
χ372222222222-2-2-2-22222-2-2-2222222222222222222222222-2-2-2-2-2-2-200000000-2-2-2-2-2-2000000000000-2-200000000000000000000000000000000
χ382222222222-2-2-2-22222-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-22222000000000000-2-200000000000000000000000000000000
χ392222222222-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2220000000022-2-2220000000000002200000000000000000000000000000000
χ402222222222-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-222-2-2000000002222-2-20000000000002200000000000000000000000000000000
χ41222222-2-2-2-2222200002-2-222-2-20000000022-2-20000-2-2222-2-200-222222000000002-2-2-2-2-20000000000000022-2-222-2-200000000000000000000
χ42222222-2-2-2-2222200002-2-222-2-20000000022-2-20000-2-2222-2-200-22-2-2-2-2000000002-2222200000000000000-2-222-2-22200000000000000000000
χ43222222-2-2-2-2222200002-2-222-2-200000000-2-222000022-2-22-2-2002-2222200000000-22-2-2-2-200000000000000-2-222-2-22200000000000000000000
χ44222222-2-2-2-2222200002-2-222-2-200000000-2-222000022-2-22-2-2002-2-2-2-2-200000000-2222220000000000000022-2-222-2-200000000000000000000
χ45222222-2-2-2-222-2-200002-2-2-2-2220000000022220000-2-2-2-2-222002200002-22-20000-2-200002-22-22-22-2002-22-20000000000000000000000000000
χ46222222-2-2-2-222-2-200002-2-2-2-2220000000022220000-2-2-2-2-22200220000-22-220000-2-20000-22-22-22-2200-22-220000000000000000000000000000
χ47222222-2-2-2-222-2-200002-2-2-2-22200000000-2-2-2-200002222-22200-2-200002-22-200002200002-22-2-22-2200-22-220000000000000000000000000000
χ48222222-2-2-2-222-2-200002-2-2-2-22200000000-2-2-2-200002222-22200-2-20000-22-220000220000-22-222-22-2002-22-20000000000000000000000000000
χ49222222-2-2-2-2-2-2220000-222-2-2220000000022220000-2-2-2-22-2-200-2-222-2-20000000022-2-2220000000000000022-2-2-2-22200000000000000000000
χ50222222-2-2-2-2-2-2220000-222-2-2220000000022220000-2-2-2-22-2-200-2-2-2-222000000002222-2-200000000000000-2-22222-2-200000000000000000000
χ51222222-2-2-2-2-2-2220000-222-2-22200000000-2-2-2-2000022222-2-2002222-2-200000000-2-2-2-22200000000000000-2-22222-2-200000000000000000000
χ52222222-2-2-2-2-2-2220000-222-2-22200000000-2-2-2-2000022222-2-20022-2-22200000000-2-222-2-20000000000000022-2-2-2-22200000000000000000000
χ53222222-2-2-2-2-2-2-2-20000-22222-2-20000000022-2-20000-2-222-222002-200002-2-220000-2200002-2-222-2-22002-2-220000000000000000000000000000
χ54222222-2-2-2-2-2-2-2-20000-22222-2-20000000022-2-20000-2-222-222002-20000-222-20000-220000-222-2-222-200-222-20000000000000000000000000000
χ55222222-2-2-2-2-2-2-2-20000-22222-2-200000000-2-222000022-2-2-22200-2200002-2-2200002-200002-2-22-222-200-222-20000000000000000000000000000
χ56222222-2-2-2-2-2-2-2-20000-22222-2-200000000-2-222000022-2-2-22200-220000-222-200002-20000-222-22-2-22002-2-220000000000000000000000000000
χ572222-2-222-2-222220000-22-22-22-2000022-2-20000-2-2220000-22-2-220000002222002-2000000-2-2-2-200000000002-22-22-22-200000000000000000000
χ582222-2-222-2-222220000-22-22-22-2000022-2-20000-2-2220000-22-2-22000000-2-2-2-2002-200000022220000000000-22-22-22-2200000000000000000000
χ592222-2-222-2-222220000-22-22-22-20000-2-222000022-2-20000-22-22-2000000222200-22000000-2-2-2-20000000000-22-22-22-2200000000000000000000
χ602222-2-222-2-222220000-22-22-22-20000-2-222000022-2-20000-22-22-2000000-2-2-2-200-22000000222200000000002-22-22-22-200000000000000000000
χ612222-2-222-2-222-2-20000-22-2-22-22000022220000-2-2-2-200002-2222002-22-2000000-2-2002-22-200002-22-200-22-220000000000000000000000000000
χ622222-2-222-2-222-2-20000-22-2-22-22000022220000-2-2-2-200002-222200-22-22000000-2-200-22-220000-22-22002-22-20000000000000000000000000000
χ632222-2-222-2-222-2-20000-22-2-22-220000-2-2-2-20000222200002-22-2-2002-22-200000022002-22-20000-22-22002-22-20000000000000000000000000000
χ642222-2-222-2-222-2-20000-22-2-22-220000-2-2-2-20000222200002-22-2-200-22-220000002200-22-2200002-22-200-22-220000000000000000000000000000
χ652222-2-222-2-2-2-22200002-22-22-22000022220000-2-2-2-20000-22-2-2-200000022-2-20022000000-2-22200000000002-22-2-22-2200000000000000000000
χ662222-2-222-2-2-2-22200002-22-22-22000022220000-2-2-2-20000-22-2-2-2000000-2-222002200000022-2-20000000000-22-222-22-200000000000000000000
χ672222-2-222-2-2-2-22200002-22-22-220000-2-2-2-2000022220000-22-22200000022-2-200-2-2000000-2-2220000000000-22-222-22-200000000000000000000
χ682222-2-222-2-2-2-22200002-22-22-220000-2-2-2-2000022220000-22-222000000-2-22200-2-200000022-2-200000000002-22-2-22-2200000000000000000000
χ692222-2-222-2-2-2-2-2-200002-222-22-2000022-2-20000-2-22200002-222-2002-2-22000000-22002-2-2200002-2-2200-222-20000000000000000000000000000
χ702222-2-222-2-2-2-2-2-200002-222-22-2000022-2-20000-2-22200002-222-200-222-2000000-2200-222-20000-222-2002-2-220000000000000000000000000000
χ712222-2-222-2-2-2-2-2-200002-222-22-20000-2-222000022-2-200002-22-22002-2-220000002-2002-2-220000-222-2002-2-220000000000000000000000000000
χ722222-2-222-2-2-2-2-2-200002-222-22-20000-2-222000022-2-200002-22-2200-222-20000002-200-222-200002-2-2200-222-20000000000000000000000000000
χ732222-2-2-2-222222222-2-2-2-222-2-22-2-2220000000000000000-2-22000000000000-2200000000000022222-2-2-2-2-2-222-2-222-200000000000000000000
χ742222-2-2-2-222222222-2-2-2-222-2-22-2-2220000000000000000-2-22000000000000-22000000000000-2-2-2-22-222222-2-222-2-2200000000000000000000
χ752222-2-2-2-2222222-2-222-2-222-2-2222-2-20000000000000000-2-220000000000002-20000000000002222-22-2-2-2-22-2-222-2-2200000000000000000000
χ762222-2-2-2-2222222-2-222-2-222-2-2222-2-20000000000000000-2-220000000000002-2000000000000-2-2-2-2-222222-222-2-222-200000000000000000000
χ772222-2-2-2-22222-2-22222-2-22-222-2-2-2-2-2000000000000000022-200002-22-2-22-22220000-22-222-22-20000-2-200000000000000000000000000000000
χ782222-2-2-2-22222-2-22222-2-22-222-2-2-2-2-2000000000000000022-20000-22-222-22-22200002-22-2-22-220000-2-200000000000000000000000000000000
χ792222-2-2-2-22222-2-2-2-2-2-2-2-22-222-22222000000000000000022-200002-22-22-22-2-2-20000-22-22-22-2200002200000000000000000000000000000000
χ802222-2-2-2-22222-2-2-2-2-2-2-2-22-222-22222000000000000000022-20000-22-22-22-22-2-200002-22-22-22-200002200000000000000000000000000000000
χ812222-2-2-2-222-2-222222222-2-222-2-2-2-2-20000000000000000-2-22000000000000-2-200000000000022-2-222-2-222-222-22-2-2200000000000000000000
χ822222-2-2-2-222-2-222222222-2-222-2-2-2-2-20000000000000000-2-22000000000000-2-2000000000000-2-2222222-2-22-2-22-222-200000000000000000000
χ832222-2-2-2-222-2-222-2-2-2-222-2-222-222220000000000000000-2-220000000000002200000000000022-2-2-2-2-2-2222-2-22-222-200000000000000000000
χ842222-2-2-2-222-2-222-2-2-2-222-2-222-222220000000000000000-2-2200000000000022000000000000-2-222-2-222-2-2-222-22-2-2200000000000000000000
χ852222-2-2-2-222-2-2-2-222-2-222-22-2-22-2-222000000000000000022-200002-2-22-222-22-20000-222-22-2-220000-2200000000000000000000000000000000
χ862222-2-2-2-222-2-2-2-222-2-222-22-2-22-2-222000000000000000022-20000-222-22-2-222-200002-2-22-222-20000-2200000000000000000000000000000000
χ872222-2-2-2-222-2-2-2-2-2-22222-22-2-2222-2-2000000000000000022-200002-2-222-2-22-220000-222-2-222-200002-200000000000000000000000000000000
χ882222-2-2-2-222-2-2-2-2-2-22222-22-2-2222-2-2000000000000000022-20000-222-2-222-2-2200002-2-222-2-2200002-200000000000000000000000000000000
χ8944-4-44-44-44-40000004-40000000004-4004i−4i4i−4i00004i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000
χ9044-4-44-44-44-40000004-40000000004-400−4i4i−4i4i0000−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000
χ9144-4-44-44-44-4000000-44000000000-44004i−4i−4i4i00004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000
χ9244-4-44-44-44-4000000-44000000000-4400−4i4i4i−4i0000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000
χ9344-4-44-4-44-4400004-40000000004-4004i−4i004i−4i004i−4i00−4i4i000000000000000000000000000000000000000000000000000000000000000000000
χ9444-4-44-4-44-4400004-40000000004-400−4i4i00−4i4i00−4i4i004i−4i000000000000000000000000000000000000000000000000000000000000000000000
χ9544-4-44-4-44-440000-44000000000-44004i−4i00−4i4i004i−4i004i−4i000000000000000000000000000000000000000000000000000000000000000000000
χ9644-4-44-4-44-440000-44000000000-4400−4i4i004i−4i00−4i4i00−4i4i000000000000000000000000000000000000000000000000000000000000000000000
χ9744-4-4-444-4-4400004-4000000000-4400004i−4i004i−4i00−4i4i004i−4i0000000000000000000000000000000000000000000000000000000000000000000
χ9844-4-4-444-4-4400004-4000000000-440000−4i4i00−4i4i004i−4i00−4i4i0000000000000000000000000000000000000000000000000000000000000000000
χ9944-4-4-444-4-440000-440000000004-400004i−4i00−4i4i00−4i4i00−4i4i0000000000000000000000000000000000000000000000000000000000000000000
χ10044-4-4-444-4-440000-440000000004-40000−4i4i004i−4i004i−4i004i−4i0000000000000000000000000000000000000000000000000000000000000000000
χ10144-4-4-44-444-40000004-4000000000-444i−4i0000−4i4i−4i4i00004i−4i0000000000000000000000000000000000000000000000000000000000000000000
χ10244-4-4-44-444-40000004-4000000000-44−4i4i00004i−4i4i−4i0000−4i4i0000000000000000000000000000000000000000000000000000000000000000000
χ10344-4-4-44-444-4000000-440000000004-44i−4i00004i−4i−4i4i0000−4i4i0000000000000000000000000000000000000000000000000000000000000000000
χ10444-4-4-44-444-4000000-440000000004-4−4i4i0000−4i4i4i−4i00004i−4i0000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-80000008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i22i2−2i2000000000000
χ1068-88-80000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i2−2i22i2000000000000
χ1078-88-8000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000
χ1088-88-8000000-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000
χ1098-8-88000000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000004i−4i0000000000000000
χ1108-8-88000000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000−4i4i0000000000000000
χ1118-8-8800000000-880000000000000000000000000000000000000000000000000000000000000000000000000000004-4000000000000000000
χ1128-8-8800000000-88000000000000000000000000000000000000000000000000000000000000000000000000000000-44000000000000000000

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