Finite Group Databasebeta

← Group #72316852

Character table — Group #72316852

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158
size11111111222222222222222244444444444444444444444444444488888888888888888888888888888888888888888888161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232
order12224444222244444444444422222222244444444444444444444422222222224444444444444444444444444444444444222222444444444488888888444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ911111111-1-11111-1-1-1-111-1-11111-1-1-1111111111-1-1-1-1-1-11111-1-1-1111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1
χ1011111111-1-11111-1-1-1-111-1-11111-1-1-1111111111-1-1-1-1-1-11111-1-1-1111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ1111111111-1-11111-1-1-1-111-1-11111-1-1-1111111111-1-1-1-1-1-11111-1-1-1111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111
χ1211111111-1-11111-1-1-1-111-1-11111-1-1-1111111111-1-1-1-1-1-11111-1-1-1111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1
χ1311111111-1-11111-1-1-1-111-1-11111-1-1-1111111111-1-1-1-1-1-11111-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111
χ1411111111-1-11111-1-1-1-111-1-11111-1-1-1111111111-1-1-1-1-1-11111-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1
χ1511111111-1-11111-1-1-1-111-1-11111-1-1-1111111111-1-1-1-1-1-11111-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ1611111111-1-11111-1-1-1-111-1-11111-1-1-1111111111-1-1-1-1-1-11111-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111
χ171111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111111111-1-1-1111-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-11-11-11-111-1-111-1-111-1-111-1-11-11-111-1-111-1-1
χ181111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111111111-1-1-1111-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1111-11-1-11-1111-1-111-1-1-1-111-1-111-11-11-1-111-1-111
χ191111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111111111-1-1-1111-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-11-111-11-1-1-111-1-11111-1-111-1-1-11-11-1-111-1-111
χ201111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111111111-1-1-1111-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11-11-11-1-111-1-111-1-111-1-1111-11-111-1-111-1-1
χ211111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111111111-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11-11-11-11-1-1-111-1-111-1-111-1-1111-11-1-1-111-1-111
χ221111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111111111-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-1111111-1-1-1-111-1-1-1-111-1-111-1-1111-11-1-11-11-1-111-1-11111-1-111-1-1-11-1111-1-111-1-1
χ231111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111111111-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-111-1-111-11-111-11-111-1-111-1-1-1-111-1-111-11-1111-1-111-1-1
χ241111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111111111-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11-11-1111-1-111-1-111-1-111-1-11-11-1-1-111-1-111
χ251111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1111111-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-1111-1-111-1-1111-1-1-1-11111-1-1-1-1111-1-1111-1-1-1-111
χ261111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1111111-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-11-1-11-111-111-1-1-1-111-1-11111-1-1-111-1-1-11111-1-1
χ271111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1111111-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-11111-1-1-111-11-1-11-1-11111-1-111-1-1-1-111-111-1-1-11111-1-1
χ281111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1111111-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-111-1-111-1-1-11111-1-1-1-11111-1-11-1-1111-1-1-1-111
χ291111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1111111-11-1-11111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-11111-1-111-1-111-1-111-1-111-1-111-1-1-1-1111-1-111-1-11-1-11111-1-1-1-11111-1-11-1-11-1-11111-1-1
χ301111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1111111-11-1-11111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-11111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-11-1-11-111-1-1-11111-1-111-1-1-1-111-111-111-1-1-1-111
χ311111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1111111-11-1-11111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-111-11-1-1111-1-1-1-111-1-11111-1-1-111-111-1-1-1-111
χ321111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1111111-11-1-11111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-111-1-111-111-1-1-1-11111-1-1-1-1111-1-11-1-11111-1-1
χ33222222222222222222222222222-2-2-2-2-2-2222222-2-22-2-2-2-2-2-22-2-2222-2200000000-2-2-2-22-22-200000000000000002-200000000000000000000000022222222000000000000000000000000-2-2-2-200000000
χ34222222222222222222222222222-2-2-2-2-2-2222222-2-22-2-2-2-2-2-22-2-2222-2200000000-2-2-2-22-22-200000000000000002-2000000000000000000000000-2-2-2-2-2-2-2-2000000000000000000000000222200000000
χ35222222222222222222222222-2-222222-2-2-2-22-2-22-2-22-2-222-2-22222-2-2-2-2000000002-22-2-22-220000000000000000-2-200000000222200000022220000000000-2-2-2-200000000000000000000000000000000
χ36222222222222222222222222-2-222222-2-2-2-22-2-22-2-22-2-222-2-22222-2-2-2-2000000002-22-2-22-220000000000000000-2-200000000-2-2-2-2000000-2-2-2-20000000000222200000000000000000000000000000000
χ37222222222222222222222222-2-22-2-2-2-222-2-22-2-2222222-2-2222-2-22-2-22-200000000-22-22-2-2-2-20000000000000000-22000000000000222222000022000000000000-2-2-2-20000000000000000000000000000
χ38222222222222222222222222-2-22-2-2-2-222-2-22-2-2222222-2-2222-2-22-2-22-200000000-22-22-2-2-2-20000000000000000-22000000000000-2-2-2-2-2-20000-2-200000000000022220000000000000000000000000000
χ39222222222222-2-2-2-2-2-22222-2-22222222-2-2-2-2-2-2-2-222-22222-2-2222-222-2200000000-22-22-2-2-2-200000000000000002-200000000000000000000000000000000000000002-22-22-22-200000000000000000000
χ40222222222222-2-2-2-2-2-22222-2-22222222-2-2-2-2-2-2-2-222-22222-2-2222-222-2200000000-22-22-2-2-2-200000000000000002-20000000000000000000000000000000000000000-22-22-22-2200000000000000000000
χ41222222222222-2-2-2-2-2-22222-2-2222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-22222000000002-22-2-22-220000000000000000220000000000000000000000000000000000000000000000002-22-22-22-2000000000000
χ42222222222222-2-2-2-2-2-22222-2-2222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-22222000000002-22-2-22-22000000000000000022000000000000000000000000000000000000000000000000-22-22-22-22000000000000
χ43222222222222-2-2-2-2-2-22222-2-2-2-2222222222-222-2-2-2-2-2-22222222-2-2-22-222-2-222-2-2-2-2-2-22-22-222-2-222-2-222-2-222-2-2-22-2-222-2-222000000000000000000000000000000000000000000000000000000000000
χ44222222222222-2-2-2-2-2-22222-2-2-2-2222222222-222-2-2-2-2-2-22222222-2-2-22-2-2-222-2-222-2-2-2-22-22-2-2-222-2-222-2-222-2-222-2222-2-222-2-2000000000000000000000000000000000000000000000000000000000000
χ45222222222222-2-2-2-2-2-22222-2-2-2-22-2-2-2-2-2-222-222-222-222-2-2-2-22-2-2-2-2-2-2-200000000222222220000000000000000-2-20000000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i
χ46222222222222-2-2-2-2-2-22222-2-2-2-22-2-2-2-2-2-222-222-222-222-2-2-2-22-2-2-2-2-2-2-200000000222222220000000000000000-2-2000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i
χ4722222222-2-22222-2-2-2-222-2-22222-222-2-2-2-222222-222-222-2-2-2-2-2222222-200000000-2-2-2-2-22-220000000000000000-220000000000000000000000002222-2-2-2-2000000000000000000000000-2-22200000000
χ4822222222-2-22222-2-2-2-222-2-22222-222-2-2-2-222222-222-222-2-2-2-2-2222222-200000000-2-2-2-2-22-220000000000000000-22000000000000000000000000-2-2-2-2222200000000000000000000000022-2-200000000
χ4922222222-2-22222-2-2-2-222-2-222-2-2-222-2-222-2-22-2-2-2-2-2-2-2-2-2-222-2222-2-2-2200000000-22-22222200000000000000002-200000000000022-2-2-2-2000022000000000000-2-2220000000000000000000000000000
χ5022222222-2-22222-2-2-2-222-2-222-2-2-222-2-222-2-22-2-2-2-2-2-2-2-2-2-222-2222-2-2-2200000000-22-22222200000000000000002-2000000000000-2-222220000-2-200000000000022-2-20000000000000000000000000000
χ5122222222-2-22222-2-2-2-222-2-222-2-2-2-2-222-2-2-2-22-2-2-222-22222-2-2-2-2-22-2-222000000002-22-22-22-20000000000000000220000000022-2-200000022-2-20000000000-2-22200000000000000000000000000000000
χ5222222222-2-22222-2-2-2-222-2-222-2-2-2-2-222-2-2-2-22-2-2-222-22222-2-2-2-2-22-2-222000000002-22-22-22-200000000000000002200000000-2-222000000-2-222000000000022-2-200000000000000000000000000000000
χ5322222222-2-222-2-2222222-2-2-2-222-222-2-222-2-2-2-2-2222222-2-222-222-222-2-2000000002-22-22-22-20000000000000000-2-20000000000000000000000000000000000000000000000002-22-2-22-22000000000000
χ5422222222-2-222-2-2222222-2-2-2-222-222-2-222-2-2-2-2-2222222-2-222-222-222-2-2000000002-22-22-22-20000000000000000-2-2000000000000000000000000000000000000000000000000-22-222-22-2000000000000
χ5522222222-2-222-2-2222222-2-2-2-222-2-2-222-2-2-2-2-2-2-22-2-22-2-222-2-2-2-2-2-2222-200000000-22-2222220000000000000000-2200000000000000000000000000000000000000002-22-2-22-2200000000000000000000
χ5622222222-2-222-2-2222222-2-2-2-222-2-2-222-2-2-2-2-2-2-22-2-22-2-222-2-2-2-2-2-2222-200000000-22-2222220000000000000000-220000000000000000000000000000000000000000-22-222-22-200000000000000000000
χ5722222222-2-222-2-2222222-2-2-2-2-2-2-222-2-2-2-222-2222-2-22-2-2-2-2-2-2-222-2-2-222000000002222-2-2-2-20000000000000000220000000000000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i
χ5822222222-2-222-2-2222222-2-2-2-2-2-2-222-2-2-2-222-2222-2-22-2-2-2-2-2-2-222-2-2-222000000002222-2-2-2-2000000000000000022000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i
χ5922222222-2-222-2-2222222-2-2-2-2-2-2-2-2-2222222-2222222222222-2-2-2-2-2-2-2222-2-2-2-222-2-2-2-2-22-2222-2-222-2-2-2-222-2-2222-2-2-22222-2-2000000000000000000000000000000000000000000000000000000000000
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χ1474-44-4−4i4i−4i4i4-400−4i4i4-4−4i4i00−4i4i4-400000000000000000000000000000000000000000000000000000000000000000000000000-22-222-22-2−2i2i2i−2i2i−2i−2i2i-222i−2i-222i−2i000000000000000000000000000000000000
χ1484-44-4−4i4i−4i4i4-400−4i4i4-4−4i4i00−4i4i4-400000000000000000000000000000000000000000000000000000000000000000000000000-22-22-22-222i−2i2i−2i2i−2i2i−2i2-2−2i2i2-2−2i2i000000000000000000000000000000000000
χ1494-44-4−4i4i−4i4i-4400−4i4i-444i−4i004i−4i4-4000000000000000000000000000000000000000000000000000000000000000000000000002-2-222-2-222i−2i−2i2i2i−2i−2i2i2-2−2i2i-222i−2i000000000000000000000000000000000000
χ1504-44-4−4i4i−4i4i-4400−4i4i-444i−4i004i−4i4-4000000000000000000000000000000000000000000000000000000000000000000000000002-2-22-222-2−2i2i−2i2i2i−2i2i−2i-222i−2i2-2−2i2i000000000000000000000000000000000000
χ1514-44-4−4i4i−4i4i-4400−4i4i-444i−4i004i−4i4-400000000000000000000000000000000000000000000000000000000000000000000000000-222-22-2-222i−2i2i−2i−2i2i−2i2i-222i−2i2-2−2i2i000000000000000000000000000000000000
χ1524-44-4−4i4i−4i4i-4400−4i4i-444i−4i004i−4i4-400000000000000000000000000000000000000000000000000000000000000000000000000-222-2-222-2−2i2i2i−2i−2i2i2i−2i2-2−2i2i-222i−2i000000000000000000000000000000000000
χ1538-88-88i−8i8i−8i8-800−8i8i-88−8i8i008i−8i-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1548-88-88i−8i8i−8i-8800−8i8i8-88i−8i00−8i8i-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1558-88-8−8i8i−8i8i8-8008i−8i-888i−8i00−8i8i-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1568-88-8−8i8i−8i8i-88008i−8i8-8−8i8i008i−8i-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15716-16-161616-16-1616000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15816-16-1616-161616-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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