Finite Group Databasebeta

← Group #72255637

Character table — Group #72255637

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149
size11111111222222224444444444444444444444444444888888888888888888888888888888888888888888888888888161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323264646464
order12222222222222222222222222222222222222222222222222222222222222222222222444444444444444444444444222244444444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ7111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111111111-1-1-1-1
χ8111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ91111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1
χ101111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ121111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-111
χ131111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111
χ141111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ151111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ161111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1
χ1711111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-11-11-1
χ1811111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-11-11
χ1911111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-111-1-111-1-111-1-1111-11-1
χ2011111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1111-1-111-1-111-1-111-1-11111-1-111-1-1-11-11
χ2111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-11-11
χ2211111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-11-11-1
χ2311111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1111111-1-111-1-111-1-111-1-111-1-1-11-11
χ2411111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-11111-1111-1-111-1-11111-1-111-1-1-1-111-1-1111-11-1
χ2511111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11111-1-1-1-1111-1-11
χ2611111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1111111-1-111-1-1-1-111-1-11111-1-1-111-1
χ2711111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-1-11
χ2811111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111111111-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-111-1
χ2911111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-11111-1-1-1-11111-1-1-111-1
χ3011111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1111111-1-1-1-11111-1-111-1-1-1-1111-1-11
χ3111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1111111111-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-111-1
χ3211111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-11111111111-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-11-1-11
χ33222222222222222222-2-2222222-2-22222-2-2-2-2-2-2-2-222-2-2-2-2-222-2-20000000000000000222222-2-222-2-20000000000000000220000-2-2-2-2000022-2-200000000002-2000000000000000000000000
χ34222222222222222222-2-2222222-2-22222-2-2-2-2-2-2-2-222-2-2-2-2-222-2-20000000000000000-2-2-2-222-2-222-2-20000000000000000-2-2000022220000-2-2220000000000-22000000000000000000000000
χ35222222222222222222-2-2222222-2-2-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-22200000000000000002222-2-222-2-2220000000000000000220000-2-2-2-20000-2-2220000000000-22000000000000000000000000
χ36222222222222222222-2-2222222-2-2-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2220000000000000000-2-2-2-2-2-222-2-2220000000000000000-2-200002222000022-2-200000000002-2000000000000000000000000
χ372222222222222222-2-22222-2-2-2-22222222222-2-2-2-2-2-2222-2-2222200000000000000000000-2-2-2-2-2-2-2-20000000000000000000000000022-2-2000022-2-200002-200002-200000000000000000000
χ382222222222222222-2-22222-2-2-2-22222222222-2-2-2-2-2-2222-2-2222200000000000000000000-2-2-2-2-2-2-2-200000000000000000000000000-2-2220000-2-2220000-220000-2200000000000000000000
χ392222222222222222-2-22222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-200000000000000000000222222220000000000000000000000000022-2-2000022-2-20000-220000-2200000000000000000000
χ402222222222222222-2-22222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2000000000000000000002222222200000000000000000000000000-2-2220000-2-22200002-200002-200000000000000000000
χ412222222222222222-2-2-2-222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-22222-2-200000000000000000000-2-222-2-22200000000000000000022220000000000000000-2-22-200002-20000000000000000000000
χ422222222222222222-2-2-2-222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-22222-2-200000000000000000000-2-222-2-222000000000000000000-2-2-2-2000000000000000022-220000-220000000000000000000000
χ432222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-222-2-2220000000000000000000022-2-222-2-200000000000000000022220000000000000000-2-2-220000-220000000000000000000000
χ442222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-222-2-2220000000000000000000022-2-222-2-2000000000000000000-2-2-2-20000000000000000222-200002-20000000000000000000000
χ45222222222222-2-2-2-22-222-2-222-2-2220000000022-2-22-2-2-2-22-20000000000002222222200000000000000000000-2-2-2-2-2-2-2-200000000002i−2i2i−2i00002i−2i2i−2i000000000000000000002i−2i2i−2i00000000
χ46222222222222-2-2-2-22-222-2-222-2-2220000000022-2-22-2-2-2-22-20000000000002222222200000000000000000000-2-2-2-2-2-2-2-20000000000−2i2i−2i2i0000−2i2i−2i2i00000000000000000000−2i2i−2i2i00000000
χ47222222222222-2-2-2-22-222-2-222-2-2220000000022-2-22-2-2-2-22-2000000000000-2-2-2-2-2-2-2-2000000000000000000002222222200000000002i−2i2i−2i00002i−2i2i−2i00000000000000000000−2i2i−2i2i00000000
χ48222222222222-2-2-2-22-222-2-222-2-2220000000022-2-22-2-2-2-22-2000000000000-2-2-2-2-2-2-2-200000000000000000000222222220000000000−2i2i−2i2i0000−2i2i−2i2i000000000000000000002i−2i2i−2i00000000
χ49222222222222-2-2-2-2-2222-2-2-2-2222200000000-2-222-22-2-2-2-2200002222222200000000000000000000-2-2-2-2-2-2-2-20000000000000000002i−2i−2i2i00002i−2i−2i2i0000000000000000000000002i−2i2i−2i0000
χ50222222222222-2-2-2-2-2222-2-2-2-2222200000000-2-222-22-2-2-2-2200002222222200000000000000000000-2-2-2-2-2-2-2-2000000000000000000−2i2i2i−2i0000−2i2i2i−2i000000000000000000000000−2i2i−2i2i0000
χ51222222222222-2-2-2-2-2222-2-2-2-2222200000000-2-222-22-2-2-2-220000-2-2-2-2-2-2-2-200000000000000000000222222220000000000000000002i−2i−2i2i00002i−2i−2i2i000000000000000000000000−2i2i−2i2i0000
χ52222222222222-2-2-2-2-2222-2-2-2-2222200000000-2-222-22-2-2-2-220000-2-2-2-2-2-2-2-20000000000000000000022222222000000000000000000−2i2i2i−2i0000−2i2i2i−2i0000000000000000000000002i−2i2i−2i0000
χ5322222222-2-2-2-2222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2222-2-2220000000000000000222222-2-2-2-2220000000000000000-2-20000-2-222000022-2-20000000000-22000000000000000000000000
χ5422222222-2-2-2-2222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2222-2-2220000000000000000-2-2-2-222-2-2-2-222000000000000000022000022-2-20000-2-22200000000002-2000000000000000000000000
χ5522222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-222-2-222222-2-200000000000000002222-2-22222-2-20000000000000000-2-20000-2-2220000-2-22200000000002-2000000000000000000000000
χ5622222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-222-2-222222-2-20000000000000000-2-2-2-2-2-22222-2-2000000000000000022000022-2-2000022-2-20000000000-22000000000000000000000000
χ5722222222-2-2-2-22222-2-222-2-22222-2-222222222-2-2-2-2-2-222-222-2-2-2-200000000000000000000-2-2-2-222220000000000000000000000000022-2-20000-2-22200002-20000-2200000000000000000000
χ5822222222-2-2-2-22222-2-222-2-22222-2-222222222-2-2-2-2-2-222-222-2-2-2-200000000000000000000-2-2-2-2222200000000000000000000000000-2-222000022-2-20000-2200002-200000000000000000000
χ5922222222-2-2-2-22222-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2222222000000000000000000002222-2-2-2-20000000000000000000000000022-2-20000-2-2220000-2200002-200000000000000000000
χ6022222222-2-2-2-22222-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2222222000000000000000000002222-2-2-2-200000000000000000000000000-2-222000022-2-200002-20000-2200000000000000000000
χ6122222222-2-2-2-22222-2-2-2-2-2-22222222222-2-2-2-22222-2-2-2-22-2-2-2-22200000000000000000000-2-22222-2-200000000000000000022-2-20000000000000000-22-2200002-20000000000000000000000
χ6222222222-2-2-2-22222-2-2-2-2-2-22222222222-2-2-2-22222-2-2-2-22-2-2-2-22200000000000000000000-2-22222-2-2000000000000000000-2-22200000000000000002-22-20000-220000000000000000000000
χ6322222222-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-222222222-2-2-2-22-2-222-2-20000000000000000000022-2-2-2-22200000000000000000022-2-20000000000000000-222-20000-220000000000000000000000
χ6422222222-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-222222222-2-2-2-22-2-222-2-20000000000000000000022-2-2-2-222000000000000000000-2-22200000000000000002-2-2200002-20000000000000000000000
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Here i is the imaginary unit (i² = −1).