Finite Group Databasebeta

← Group #72339573

Character table — Group #72339573

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103
size111122222222222244444444444448888888888888888888888888888888888888888888888888888881616161616161616323232323232323232323232
order1222222222224444222444444888822222244444444444444444488888888888888888888888888888822222244444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111
χ511111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-11-1-1-1-1111-1-1-1
χ611111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1111
χ711111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-1111
χ811111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1111111-1-1-1
χ91111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11-1-11-1-111-1
χ101111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-111-1-11
χ111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-111-1-1-111-1-11
χ121111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-1-1111-1-111-1
χ131111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1111-1-1-1-11
χ141111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-11-1-1-11111-1
χ151111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-11111-1
χ161111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-11
χ171111-1-1111111-1-111-1-1-1111-1-1-111-1-11-11-11-111-1-111-1-111-1-11-11-11-111-1-111-1-111-1-1111-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11-1-11-11-11
χ181111-1-1111111-1-111-1-1-1111-1-1-111-1-11-11-11-111-1-111-1-111-1-11-11-11-111-1-111-1-111-1-1111-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-111-11-11-1
χ191111-1-1111111-1-111-1-1-1111-1-1-111-1-11-1-11-1111-1-1-1-111-1-1111-1-11-1111-1-1-1-111-1-111111-1-1-111-1-1-1-111-1-11111-1-111-1-11-11-11-11-11-11-1
χ201111-1-1111111-1-111-1-1-1111-1-1-111-1-11-1-11-1111-1-1-1-111-1-1111-1-11-1111-1-1-1-111-1-111111-1-1-111-1-1-1-111-1-111-1-111-1-111-11-11-11-11-11-11
χ211111-1-1111111-1-111-1-1-1111-1-1-111-1-1-111-1-11-1-11111-1-1-1-111-111-1-11-1-11111-1-1-1-111111-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1111-11-11-1-11-1
χ221111-1-1111111-1-111-1-1-1111-1-1-111-1-1-111-1-11-1-11111-1-1-1-111-111-1-11-1-11111-1-1-1-111111-1-1-1-1-11111-1-1-1-111-1-111-1-1111-1-1-11-11-111-11
χ231111-1-1111111-1-111-1-1-1111-1-1-111-1-1-11-111-1-1-111-1-11111-1-1-11-111-1-1-111-1-11111-1-1111-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-11-111-111-11
χ241111-1-1111111-1-111-1-1-1111-1-1-111-1-1-11-111-1-1-111-1-11111-1-1-11-111-1-1-111-1-11111-1-1111-1-1-1-1-111-1-11111-1-1-1-111-1-111111-11-1-11-1-11-1
χ251111-1-1111111-1-111-1-1-1111-1-1-1-1-1111-11-11-111-1-111-1-111-1-11-11-11-1-1-111-1-111-1-111-1-1-1111-1-111-1-111-1-11111-1-1-1-111111-1-11-1-111-1-1
χ261111-1-1111111-1-111-1-1-1111-1-1-1-1-1111-11-11-111-1-111-1-111-1-11-11-11-1-1-111-1-111-1-111-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-1-111-111-1-111
χ271111-1-1111111-1-111-1-1-1111-1-1-1-1-1111-1-11-1111-1-1-1-111-1-1111-1-11-11-1-11111-1-111-1-1-1-1-1111-1-11111-1-111-1-111-1-1-1-1111-1-1-1-1111-1-111
χ281111-1-1111111-1-111-1-1-1111-1-1-1-1-1111-1-11-1111-1-1-1-111-1-1111-1-11-11-1-11111-1-111-1-1-1-1-1111-1-11111-1-111-1-1-1-11111-1-1-11111-1-1-111-1-1
χ291111-1-1111111-1-111-1-1-1111-1-1-1-1-111-111-1-11-1-11111-1-1-1-111-111-1-1111-1-1-1-11111-1-1-1-1-111111-1-1-1-11111-1-111-1-1-1-111-11-111-1-1-11-111
χ301111-1-1111111-1-111-1-1-1111-1-1-1-1-111-111-1-11-1-11111-1-1-1-111-111-1-1111-1-1-1-11111-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-11-11-1-1111-11-1-1
χ311111-1-1111111-1-111-1-1-1111-1-1-1-1-111-11-111-1-1-111-1-11111-1-1-11-111-111-1-111-1-1-1-111-1-1-111111-1-111-1-1-1-11111-1-1-1-111-1-1111-111-11-1-1
χ321111-1-1111111-1-111-1-1-1111-1-1-1-1-111-11-111-1-1-111-1-11111-1-1-11-111-111-1-111-1-1-1-111-1-1-111111-1-111-1-1-1-111-1-11111-1-111-1-1-11-1-11-111
χ33222222222222-2-2-2-2222-2-2-2-2-2-200002-22-2-2-22-22-22-22-22-22-2-22-222200000000000000000000000000000000000000000000000000
χ34222222222222-2-2-2-2222-2-2-2-2-2-200002-2-22222-22-2-22-22-22-22-222-2-2-200000000000000000000000000000000000000000000000000
χ35222222222222-2-2-2-2222-2-2-2-2-2-20000-222-222-22-222-22-2-22-222-2-22-2-200000000000000000000000000000000000000000000000000
χ36222222222222-2-2-2-2222-2-2-2-2-2-20000-22-22-2-2-22-22-22-222-22-22-22-22200000000000000000000000000000000000000000000000000
χ372222222-2-22-2-222222-2-22-2-22-2-2222200002200000000-2-2-2-200002200000000-2-2-2-22-2-22-2-200000000222200000000000000000000
χ382222222-2-22-2-222222-2-22-2-22-2-222220000-2-20000000022220000-2-20000000022222-2-22-2-200000000-2-2-2-200000000000000000000
χ392222222-2-22-2-222222-2-22-2-22-2-2-2-2-2-200002200000000-2-2-2-2000022000000002222-222-22200000000-2-2-2-200000000000000000000
χ402222222-2-22-2-222222-2-22-2-22-2-2-2-2-2-20000-2-20000000022220000-2-200000000-2-2-2-2-222-22200000000222200000000000000000000
χ412222222-2-22-2-2-2-2-2-22-2-2-222-2220000000022000000002-22-20000-2-22i−2i2i−2i2i−2i2i−2i00000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ422222222-2-22-2-2-2-2-2-22-2-2-222-2220000000022000000002-22-20000-2-2−2i2i−2i2i−2i2i−2i2i0000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ432222222-2-22-2-2-2-2-2-22-2-2-222-22200000000-2-200000000-22-220000222i−2i2i−2i−2i2i−2i2i00000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ442222222-2-22-2-2-2-2-2-22-2-2-222-22200000000-2-200000000-22-22000022−2i2i−2i2i2i−2i2i−2i0000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ45222222-22-2-22-22222-22-2-22-2-22-222220022000000-2-2-2-200000022000000-2-2-2-20000-22-2-22-200002222000000000000000000000000
χ46222222-22-2-22-22222-22-2-22-2-22-2222200-2-20000002222000000-2-200000022220000-22-2-22-20000-2-2-2-2000000000000000000000000
χ47222222-22-2-22-22222-22-2-22-2-22-2-2-2-2-20022000000-2-2-2-200000022000000222200002-222-220000-2-2-2-2000000000000000000000000
χ48222222-22-2-22-22222-22-2-22-2-22-2-2-2-2-200-2-20000002222000000-2-2000000-2-2-2-200002-222-2200002222000000000000000000000000
χ49222222-22-2-22-2-2-2-2-2-22-22-222-220000002-2000000-22-22000000-22002i−2i2i−2i00002i−2i2i−2i000000−2i2i−2i2i00002i−2i2i−2i00000000000000000000
χ50222222-22-2-22-2-2-2-2-2-22-22-222-220000002-2000000-22-22000000-2200−2i2i−2i2i0000−2i2i−2i2i0000002i−2i2i−2i0000−2i2i−2i2i00000000000000000000
χ51222222-22-2-22-2-2-2-2-2-22-22-222-22000000-220000002-22-20000002-2002i−2i2i−2i0000−2i2i−2i2i000000−2i2i−2i2i0000−2i2i−2i2i00000000000000000000
χ52222222-22-2-22-2-2-2-2-2-22-22-222-22000000-220000002-22-20000002-200−2i2i−2i2i00002i−2i2i−2i0000002i−2i2i−2i00002i−2i2i−2i00000000000000000000
χ53222222-2-22-2-222222-2-22-2-22-2-222222220000-2-2-2-200000000220000-2-2-2-200000000-2-22-2-2222220000000000000000000000000000
χ54222222-2-22-2-222222-2-22-2-22-2-222222-2-20000222200000000-2-20000222200000000-2-22-2-22-2-2-2-20000000000000000000000000000
χ55222222-2-22-2-222222-2-22-2-22-2-22-2-2-2-2220000-2-2-2-20000000022000022220000000022-222-2-2-2-2-20000000000000000000000000000
χ56222222-2-22-2-222222-2-22-2-22-2-22-2-2-2-2-2-20000222200000000-2-20000-2-2-2-20000000022-222-222220000000000000000000000000000
χ57222222-2-22-2-22-2-2-2-2-2-2222-222-200002-20000-22-2200000000-22000000002i−2i2i−2i2i−2i2i−2i0000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ58222222-2-22-2-22-2-2-2-2-2-2222-222-200002-20000-22-2200000000-2200000000−2i2i−2i2i−2i2i−2i2i00000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ59222222-2-22-2-22-2-2-2-2-2-2222-222-20000-2200002-22-2000000002-2000000002i−2i2i−2i−2i2i−2i2i0000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ60222222-2-22-2-22-2-2-2-2-2-2222-222-20000-2200002-22-2000000002-200000000−2i2i−2i2i2i−2i2i−2i00000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ612222-2-222222222-2-2-2-2-2-2-2-222200002222-222-2-222-2-222-2-22-2-2-2-22-200000000000000000000000000000000000000000000000000
χ622222-2-222222222-2-2-2-2-2-2-2-2222000022-2-22-22-2-22-222-2-222-2-2-222-2200000000000000000000000000000000000000000000000000
χ632222-2-222222222-2-2-2-2-2-2-2-22220000-2-2222-2-222-22-2-22-222-222-2-2-2200000000000000000000000000000000000000000000000000
χ642222-2-222222222-2-2-2-2-2-2-2-22220000-2-2-2-2-22-222-2-222-22-2-2222222-200000000000000000000000000000000000000000000000000
χ652222-2-22-2-22-2-222-2-2-222-2222-2-2000000002-2000000002-2-220000-222i−2i−2i2i2i−2i−2i2i00000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ662222-2-22-2-22-2-222-2-2-222-2222-2-2000000002-2000000002-2-220000-22−2i2i2i−2i−2i2i2i−2i0000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ672222-2-22-2-22-2-222-2-2-222-2222-2-200000000-2200000000-222-200002-22i−2i−2i2i−2i2i2i−2i00000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ682222-2-22-2-22-2-222-2-2-222-2222-2-200000000-2200000000-222-200002-2−2i2i2i−2i2i−2i−2i2i0000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ692222-2-22-2-22-2-2-2-222-2222-2-2-22222-2-200002-200000000-2-22200002-200000000-2-2222-2-2-2220000000022-2-200000000000000000000
χ702222-2-22-2-22-2-2-2-222-2222-2-2-22222-2-20000-220000000022-2-20000-220000000022-2-22-2-2-22200000000-2-22200000000000000000000
χ712222-2-22-2-22-2-2-2-222-2222-2-2-222-2-22200002-200000000-2-22200002-20000000022-2-2-2222-2-200000000-2-22200000000000000000000
χ722222-2-22-2-22-2-2-2-222-2222-2-2-222-2-2220000-220000000022-2-20000-2200000000-2-222-2222-2-20000000022-2-200000000000000000000
χ732222-2-2-22-2-22-222-2-22-222-22-22-200000022000000-222-2000000-2-2002i−2i−2i2i00002i−2i−2i2i000000−2i2i2i−2i00002i−2i−2i2i00000000000000000000
χ742222-2-2-22-2-22-222-2-22-222-22-22-200000022000000-222-2000000-2-200−2i2i2i−2i0000−2i2i2i−2i0000002i−2i−2i2i0000−2i2i2i−2i00000000000000000000
χ752222-2-2-22-2-22-222-2-22-222-22-22-2000000-2-20000002-2-2200000022002i−2i−2i2i0000−2i2i2i−2i000000−2i2i2i−2i0000−2i2i2i−2i00000000000000000000
χ762222-2-2-22-2-22-222-2-22-222-22-22-2000000-2-20000002-2-220000002200−2i2i2i−2i00002i−2i−2i2i0000002i−2i−2i2i00002i−2i−2i2i00000000000000000000
χ772222-2-2-22-2-22-2-2-2222-22-22-22-2222-2-2002-2000000-2-2220000002-2000000-2-2220000-22-22-22000022-2-2000000000000000000000000
χ782222-2-2-22-2-22-2-2-2222-22-22-22-2222-2-200-2200000022-2-2000000-2200000022-2-20000-22-22-220000-2-222000000000000000000000000
χ792222-2-2-22-2-22-2-2-2222-22-22-22-22-2-222002-2000000-2-2220000002-200000022-2-200002-22-22-20000-2-222000000000000000000000000
χ802222-2-2-22-2-22-2-2-2222-22-22-22-22-2-22200-2200000022-2-2000000-22000000-2-22200002-22-22-2000022-2-2000000000000000000000000
χ812222-2-2-2-22-2-2222-2-222-222-2-2-220000220000-222-200000000-2-2000000002i−2i−2i2i2i−2i−2i2i0000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ822222-2-2-2-22-2-2222-2-222-222-2-2-220000220000-222-200000000-2-200000000−2i2i2i−2i−2i2i2i−2i00000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ832222-2-2-2-22-2-2222-2-222-222-2-2-220000-2-200002-2-220000000022000000002i−2i−2i2i−2i2i2i−2i0000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ842222-2-2-2-22-2-2222-2-222-222-2-2-220000-2-200002-2-22000000002200000000−2i2i2i−2i2i−2i−2i2i00000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ852222-2-2-2-22-2-22-2-22222-2-2-2222-222-2-22-20000-2-222000000002-20000-2-22200000000-2-2222-222-2-20000000000000000000000000000
χ862222-2-2-2-22-2-22-2-22222-2-2-2222-222-2-2-22000022-2-200000000-22000022-2-200000000-2-2222-2-2-2220000000000000000000000000000
χ872222-2-2-2-22-2-22-2-22222-2-2-2222-2-2-2222-20000-2-222000000002-2000022-2-20000000022-2-2-22-2-2220000000000000000000000000000
χ882222-2-2-2-22-2-22-2-22222-2-2-2222-2-2-222-22000022-2-200000000-220000-2-2220000000022-2-2-2222-2-20000000000000000000000000000
χ894-4-444-40000004-4-440000000004-44-40000000000000000000000000000000000000000000000000000002-22-22-22-2000000000000
χ904-4-444-40000004-4-440000000004-44-4000000000000000000000000000000000000000000000000000000-22-22-22-22000000000000
χ914-4-444-40000004-4-44000000000-44-440000000000000000000000000000000000000000000000000000002-22-2-22-22000000000000
χ924-4-444-40000004-4-44000000000-44-44000000000000000000000000000000000000000000000000000000-22-222-22-2000000000000
χ934-4-44-44000000-44-440000000004-4-440000000000000000000000000000000000000000000000000000002-2-222-2-22000000000000
χ944-4-44-44000000-44-440000000004-4-44000000000000000000000000000000000000000000000000000000-222-2-222-2000000000000
χ954-4-44-44000000-44-44000000000-444-40000000000000000000000000000000000000000000000000000002-2-22-222-2000000000000
χ964-4-44-44000000-44-44000000000-444-4000000000000000000000000000000000000000000000000000000-222-22-2-22000000000000
χ9788-8-800888-8-8-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8008-8-8-8880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-88-88-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-800-8-8888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-888-8000000-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-880000008-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10316-1616-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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