You can also try install IIS with PowerShell:
# This script installs IIS and the features required to
#
# * Make sure you run this script from a Powershel Admin Prompt!
# * Make sure Powershell Execution Policy is bypassed to run these scripts:
# * YOU MAY HAVE TO RUN THIS COMMAND PRIOR TO RUNNING THIS SCRIPT!
Set-ExecutionPolicy Bypass -Scope Process
# To list all Windows Features: dism /online /Get-Features
# Get-WindowsOptionalFeature -Online
# LIST All IIS FEATURES:
# Get-WindowsOptionalFeature -Online | where FeatureName -like 'IIS-*'
Enable-WindowsOptionalFeature -Online -FeatureName IIS-WebServerRole
Enable-WindowsOptionalFeature -Online -FeatureName IIS-WebServer
Enable-WindowsOptionalFeature -Online -FeatureName IIS-CommonHttpFeatures
Enable-WindowsOptionalFeature -Online -FeatureName IIS-HttpErrors
Enable-WindowsOptionalFeature -Online -FeatureName IIS-HttpRedirect
Enable-WindowsOptionalFeature -Online -FeatureName IIS-ApplicationDevelopment
Enable-WindowsOptionalFeature -online -FeatureName NetFx4Extended-ASPNET45
Enable-WindowsOptionalFeature -Online -FeatureName IIS-NetFxExtensibility45
Enable-WindowsOptionalFeature -Online -FeatureName IIS-HealthAndDiagnostics
Enable-WindowsOptionalFeature -Online -FeatureName IIS-HttpLogging
Enable-WindowsOptionalFeature -Online -FeatureName IIS-LoggingLibraries
Enable-WindowsOptionalFeature -Online -FeatureName IIS-RequestMonitor
Enable-WindowsOptionalFeature -Online -FeatureName IIS-HttpTracing
Enable-WindowsOptionalFeature -Online -FeatureName IIS-Security
Enable-WindowsOptionalFeature -Online -FeatureName IIS-RequestFiltering
Enable-WindowsOptionalFeature -Online -FeatureName IIS-Performance
Enable-WindowsOptionalFeature -Online -FeatureName IIS-WebServerManagementTools
Enable-WindowsOptionalFeature -Online -FeatureName IIS-IIS6ManagementCompatibility
Enable-WindowsOptionalFeature -Online -FeatureName IIS-Metabase
Enable-WindowsOptionalFeature -Online -FeatureName IIS-ManagementConsole
Enable-WindowsOptionalFeature -Online -FeatureName IIS-BasicAuthentication
Enable-WindowsOptionalFeature -Online -FeatureName IIS-WindowsAuthentication
Enable-WindowsOptionalFeature -Online -FeatureName IIS-StaticContent
Enable-WindowsOptionalFeature -Online -FeatureName IIS-DefaultDocument
Enable-WindowsOptionalFeature -Online -FeatureName IIS-WebSockets
Enable-WindowsOptionalFeature -Online -FeatureName IIS-ApplicationInit
Enable-WindowsOptionalFeature -Online -FeatureName IIS-ISAPIExtensions
Enable-WindowsOptionalFeature -Online -FeatureName IIS-ISAPIFilter
Enable-WindowsOptionalFeature -Online -FeatureName IIS-HttpCompressionStatic
Enable-WindowsOptionalFeature -Online -FeatureName IIS-ASPNET45
About how to run powershell in C# you can refer to this link: adding-and-invoking-commands.
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