In a large bowl, beat the egg until scrambled. Add the mayonaise, red pepper, green onions, parsley, dill, bread crumbs, and cheese.
Gently stir in the crab meat until combined. With damp hands, form 2-inch patties using about 2 tablespoons of the mixture.
Heat the oil in a large skillet over medium-high heat. Once shimmering, add as many patties as the skillet will hold with about 1/2-inch space between each pattie. Cook until golden brown. Flip and continue cooking until golden brown.