Finite Group Databasebeta

← Group #72318544

Character table — Group #72318544

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size11111111222222224444444444444444444444444488888888888888888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323264646464
order12222222222222222222222222222222222244444422222222222222222224444444444444444444444444222222222444444444444444444444444444444444444444444444444488884488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-11111111111111111111-1-111111-1-11-1-1-1-1111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1111111111111111-1-1-1-111-1-1-1-11111-1-11-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-111111111
χ511111111111111111111111111111-1-1111111-1-111111111111-1-1-111111111111111-1-1-11111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ611111111111111111111111111111-1-1111111-1-111111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1111111-1-1-1-1-111-1-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111
χ711111111111111111111111111111-1-1111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-1111111-111-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ811111111111111111111111111111-1-1111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-111-111-1111111-1-1111111-1-1-1-1
χ9111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ10111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-111-1-1-1-111111111-1-111
χ11111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111111111111-1-1-1-1111111111-1-1111111-1-1-1-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ12111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-11-1-11-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-111-1-1
χ13111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-11111111-1-1-1-1-1-1-111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111-1-11111-1-1-1-1111-1-11111111-1-111-1-1-1-1-1-111
χ14111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-11111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111-1-1-111-111-1-1111111-1-111111111111-1-11-1-1-1-1-1-111-1-1111111-1-1
χ15111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-111111111-1111111-1-11111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1
χ16111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111111111111-111-1-1-111-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ1711111111-1-1-1-11111111-1-11111111111111111-1-1111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-1-1111111111111-1-1-1-111111-1-1-1-111-1-11-1-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-111111-1-11-11-1-111-1-1-1-11111-1-11-11-1
χ1811111111-1-1-1-11111111-1-11111111111111111-1-1111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-11111-1-1111-111-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-11-1-11-1111-1-11111-1-1-1-111-11-11
χ1911111111-1-1-1-11111111-1-11111111111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11111-1-1-111111111-1-1-1-11111111-1-111-1-1-1-1111-1-1-1-1-111-1-1-1-1-111-1-111-1-1-1-1111111-11-1-111-1-1-1-111-1-111-1-111-11-11
χ2011111111-1-1-1-11111111-1-11111111111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-11111-1-111111-111-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-11-1-1111111-1-111-1-111-1-11-11-1
χ2111111111-1-1-1-11111111-1-111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-111-1-111-1-111-1111-1-1-1-1111-1-1-1-1-1-111-1-111-1-11111-111-11-11111-1-1-1-1-1-111-1-1-11-11
χ2211111111-1-1-1-11111111-1-111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-111-11-1-1-1-1-1111111-1-1111-11-1
χ2311111111-1-1-1-11111111-1-111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111-1-1-1-11111-1-1-1-1-1111111-1-1-1111-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111111-111-1-111-1-111-1-1-1-1-1-1111-11-1
χ2411111111-1-1-1-11111111-1-111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11-111-1-1-1-111-1-1111111-1-1-11-11
χ2511111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-111-1-111-1-11-1-1-1-1-111-111-1-111-1-1111111-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-1111-1-11
χ2611111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1111-111-1-1-11111-1-1-1-1111111-1-11111-1111-1-1-1-1-1-111-1-11111-1-1-111-1
χ2711111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-11111111-1-1-1-11111-1-11111-1-1-11111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-1-1111-1-1-1-1-111-111-1-11111-1-111-1-111-1-1-1-11-11-11-111-1-11111-1-111-1-1-111-1
χ2811111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-111-1-111111-111-1-1-11111-1-111-1-111-1-11111111-11-11-1-1-111-1-1-1-111-1-1111-1-11
χ2911111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-11111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-111-1-11111-1-111-1111-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1-1-111-1-111-1-11111-1-111-111-1
χ3011111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-111-1-1-1111111-1-1111111-1-11111-1-111111-1-1-11111-1-111-1-1-1-111-1-11-1-11
χ3111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-11111-1-111111111111-1-1-1-11111-1-1-1-1-11111-1-11111-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-11-11-1-1-1-111111111-1-11-1-11
χ3211111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1111111-1-11111-1-11111-1-1111111-11-11-111111-1-1-1-1-1-1-1-111-111-1
χ33222222222222222222-22222222222222-2-2-22-222-2-2-222-2-2222222200000000-2-200002220000-2-2-2-200000000-2220000000000-200-20000-22200000000-2-20000000000-200-2000000000000000000
χ34222222222222222222-22222222222-2-22-2-2-22-2-2-2-2-2-222-2-22222-2-2-200000000-2-20000-2-2-20000-2-2-2-2000000002-2-20000000000200200002-2-200000000-2-200000000002002000000000000000000
χ35222222222222222222-222-2-2-2-2-2-2-2-2222-2-2-22-222-2-2-222-2-2-2-2-2-222200000000-2-200002220000222200000000-2-2-20000000000-200-20000-2-2-2000000002200000000002002000000000000000000
χ36222222222222222222-222-2-2-2-2-2-2-2-2-2-22-2-2-22-2-2-2-2-2-222-2-2-2-2-2-2-2-2-200000000-2-20000-2-2-2000022220000000022200000000002002000022200000000220000000000-200-2000000000000000000
χ372222222222222222-2-22220000000022-2222-2-222-2-2-2-2-22200002-2-222222222-2-200002-2-200000000000000002000000002222-200-200002000000000000-2-2-2-20000000-2-20000000000000000000
χ382222222222222222-2-22220000000022-2222-2-222-2-2-2-2-22200002-2-2-2-2-2-2-2-2-2-2-2-200002-2-20000000000000000200000000-2-2-2-2-200-20000200000000000022220000000220000000000000000000
χ392222222222222222-2-222200000000-2-2-2222-2-2-2-2-2-2-2-2-2220000-22222222222-2-20000-2220000000000000000-200000000-2-2-2-220020000-2000000000000-2-2-2-20000000220000000000000000000
χ402222222222222222-2-222200000000-2-2-2222-2-2-2-2-2-2-2-2-2220000-222-2-2-2-2-2-2-2-2-2-20000-2220000000000000000-200000000222220020000-200000000000022220000000-2-20000000000000000000
χ412222222222222222-2-2-2220000000022-2-2-2-2-2222222-2-2-2-200002-2-2000000002200002-2-20000000022222222-200-2-2-2-200000020020000-200000022220000000000-2-20000000000000000000000
χ422222222222222222-2-2-2220000000022-2-2-2-2-2222222-2-2-2-200002-2-2000000002200002-2-200000000-2-2-2-2-2-2-2-2-200222200000020020000-2000000-2-2-2-20000000000220000000000000000000000
χ432222222222222222-2-2-22200000000-2-2-2-2-2-2-22-2-2222-2-2-2-20000-22200000000220000-2220000000022222222200-2-2-2-2000000-200-200002000000-2-2-2-20000000000220000000000000000000000
χ442222222222222222-2-2-22200000000-2-2-2-2-2-2-22-2-2222-2-2-2-20000-22200000000220000-22200000000-2-2-2-2-2-2-2-22002222000000-200-20000200000022220000000000-2-20000000000000000000000
χ4522222222-2-2-2-2222222-2-2-222222222222-2-2-22-2-2-2-2-2-2-2-222-2-2-2-222200000000220000-2-2-20000-2-2-2-200000000-2220000000000-200200002-2-200000000220000000000200-2000000000000000000
χ4622222222-2-2-2-2222222-2-2-222222222-2-22-2-2-22-222-2-2-2-2-222-2-2-2-2-2-2-2000000002200002220000-2-2-2-2000000002-2-20000000000200-20000-22200000000220000000000-2002000000000000000000
χ4722222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2222-2-2-22-2-2-2-2-2-2-2-222222222200000000220000-2-2-20000222200000000-2-2-20000000000-2002000022200000000-2-20000000000-2002000000000000000000
χ4822222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-22-2-2-22-222-2-2-2-2-2222222-2-2-20000000022000022200002222000000002220000000000200-20000-2-2-200000000-2-20000000000200-2000000000000000000
χ4922222222-2-2-2-22222-2-22-2-20000000022-2222-2-2-2-2-2-2-222-2-200002-2-22222-2-2-2-2220000-222000000000000000020000000022-2-2-20020000-2000000000000-2-2220000000-220000000000000000000
χ5022222222-2-2-2-22222-2-22-2-20000000022-2222-2-2-2-2-2-2-222-2-200002-2-2-2-2-2-22222220000-2220000000000000000200000000-2-222-20020000-200000000000022-2-200000002-20000000000000000000
χ5122222222-2-2-2-22222-2-22-2-200000000-2-2-2222-2-222-2-2-222-2-20000-2222222-2-2-2-22200002-2-20000000000000000-200000000-2-222200-200002000000000000-2-22200000002-20000000000000000000
χ5222222222-2-2-2-22222-2-22-2-200000000-2-2-2222-2-222-2-2-222-2-20000-222-2-2-2-222222200002-2-20000000000000000-20000000022-2-2200-20000200000000000022-2-20000000-220000000000000000000
χ5322222222-2-2-2-22222-2-2-2-2-20000000022-2-2-2-2-22-2-2222222200002-2-200000000-2-20000-222000000002222-2-2-2-2-200-2-222000000200-20000200000022-2-20000000000-220000000000000000000000
χ5422222222-2-2-2-22222-2-2-2-2-20000000022-2-2-2-2-22-2-2222222200002-2-200000000-2-20000-22200000000-2-2-2-22222-20022-2-2000000200-200002000000-2-22200000000002-20000000000000000000000
χ5522222222-2-2-2-22222-2-2-2-2-200000000-2-2-2-2-2-2-222222222220000-22200000000-2-200002-2-2000000002222-2-2-2-2200-2-222000000-20020000-2000000-2-22200000000002-20000000000000000000000
χ5622222222-2-2-2-22222-2-2-2-2-200000000-2-2-2-2-2-2-222222222220000-22200000000-2-200002-2-200000000-2-2-2-2222220022-2-2000000-20020000-200000022-2-20000000000-220000000000000000000000
χ5722-22-22-2-20000-22-222-22002222-2-2-2-20022-2-2-22002-2-200000000000000022-2-2002i2i−2i−2i0002i2i−2i−2i22-2-2000022-2-2000002-2000000000000000000000000000002-22i2i−2i−2i00000000002i−2i0000002i−2i0000
χ5822-22-22-2-20000-22-222-22002222-2-2-2-20022-2-2-22002-2-200000000000000022-2-200−2i−2i2i2i000−2i−2i2i2i22-2-2000022-2-2000002-2000000000000000000000000000002-2−2i−2i2i2i0000000000−2i2i000000−2i2i0000
χ5922-22-22-2-20000-22-222-22002222-2-2-2-20022-2-2-22002-2-2000000000000000-2-222002i2i−2i−2i0002i2i−2i−2i22-2-20000-2-22200000-2200000000000000000000000000000-222i2i−2i−2i0000000000−2i2i000000−2i2i0000
χ6022-22-22-2-20000-22-222-22002222-2-2-2-20022-2-2-22002-2-2000000000000000-2-22200−2i−2i2i2i000−2i−2i2i2i22-2-20000-2-22200000-2200000000000000000000000000000-22−2i−2i2i2i00000000002i−2i0000002i−2i0000
χ6122-22-22-2-20000-22-222-2200-2-2-2-222220022-2-2-22002-2-200000000000000022-2-2002i2i−2i−2i0002i2i−2i−2i-2-2220000-2-22200000-22000000000000000000000000000002-2−2i−2i2i2i00000000002i−2i000000−2i2i0000
χ6222-22-22-2-20000-22-222-2200-2-2-2-222220022-2-2-22002-2-200000000000000022-2-200−2i−2i2i2i000−2i−2i2i2i-2-2220000-2-22200000-22000000000000000000000000000002-22i2i−2i−2i0000000000−2i2i0000002i−2i0000
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Here i is the imaginary unit (i² = −1).