EDIT: After some discussion with the team, we came up with something, I know it seems like we didn't use these ideas much, but we did and we agreed on "Hack It!" Sounds about right, or should we go with something else?
Having no prior knowledge of what the game looks like, Hack It! looks like an indie mini-game freeware I could see on say, Kongregate and the likes. It could definitely work.
If you are aiming at different platform of distribution, I would recommend a more subtle and polished name. Perhaps your in-game company's name?
On a sidenote: Hackmaze sounds like a nice reconciliation between your lore (hacking) and gameplay (mazes). (it is also a nice play on words with Amaze which is a subcounscious positive feedback for the user browsing through the game's names on any platform)
