var isOpera = !!window.opera || navigator.userAgent.indexOf('Opera') >= 0;
// Opera 8.0+ (UA detection to detect Blink/v8-powered Opera)
var isFirefox = typeof InstallTrigger !== 'undefined'; // Firefox 1.0+
var isSafari = Object.prototype.toString.call(window.HTMLElement).indexOf('Constructor') > 0;
// At least Safari 3+: "[object HTMLElementConstructor]"
var isChrome = !!window.chrome; // Chrome 1+
var isIE = /*@cc_on!@*/false;
you can more read
How to detect Safari, Chrome, IE, Firefox and Opera browser?