Mix first 10 ingredients together, being careful to not overmix or break up the crab chunks.
Dust a sheet pan or piece of tinfoil with flour. Carefully form little patties with the mixture and drop them onto the sheet pan or foil to dust with flour. Don't overhandle as the mixture will be very soft and wet. If the mixture is too wet, add more crumbs, or some flour.
Meanwhile, melt butter into 2 tbs of the olive oil and heat a sauté pan to medium-high. Carefully drop cakes into pan with a spatula. Cook on one side until brown and crisp.
Turn carefully, cook on the other side until brown and crisp and the inside of the cakes are cooked, about 2-3 minutes per side.
Serve hot, topped with aioli and a few sliced green onions for garnish.
For the sauce:
Mash garlic into a fine paste with the side of a knife on a cutting board, using salt as an abrasive. Mix all ingredients together. Serve with the crab cakes.