A computer mouse has a mouse button face with at least one mouse button for operation by a finger of a user and a thumb face opposite of the mouse button face for engagement by a thumb of that user. At least one sensor is provided for detecting a mode of operation by a user. In a first detected mode of operation, a displacement operation by a user causes a user interface display of a computer system to show a movement in a direction in a displayed image. In a second detected mode of operation, the same displacement operation by a user causes the user interface display to show a different movement in a different direction in the displayed image. Also described is a mouse with a touchpad surface area partially located between mouse buttons, partially overlapping the buttons and partially in flexible hinge areas of caps of the buttons.