Shareholder requirements
Anyone can invest in a mutual fund. Mutual funds may require a minimum investment of $100, $1,000, or more, but as long as you have the money, you can buy shares.
Hedge funds only accept accredited investors. On top of that, hedge funds usually have very high minimum investments, like $1 million. This puts a significant limit on the number of people who can invest in a hedge fund.
Liquidity
Investors can sell their shares in a mutual fund on any day. While their sell order won't execute until the end of the trading day, they can sell or buy more any day the stock market is open.
Hedge funds limit their investors to buying and selling during certain periods every quarter, half-year, or sometimes longer. Additionally, new investors must lock up their funds for a certain length of time, typically one year.
Regulation
Mutual funds are registered with the SEC. As such, they're required to comply with all agency regulations, including regular financial reporting.
Hedge funds don't have to register with the SEC, and, therefore, there's a lot less transparency. However, the SEC can still sue nefarious hedge fund managers on its investors' behalf in the case of corruption or misleading investors, such as in a Ponzi scheme.
Trading strategies
Mutual funds are limited in the strategies they can use to invest. For the most part, mutual funds stick to buying stocks, bonds, and other securities.
Hedge funds can invest in just about anything, and, therefore, can employ a wide variety of strategies. Managers can use derivatives to hedge or leverage positions, buy more illiquid assets such as art or private real estate, sell short, and use debt. These strategies are often more volatile than those available to mutual funds.