한 관계자는 회사라는 큰 조직 속에서 사원들의 사고가 경직되고 있음을 느꼈고 이를 막기 위해 복장 자율화를 생각해 내게 되었다고 했다. => One associate said they felt the employees' way of thinking seemed to get rigid working in the large corporate organization, and so they came up with the idea of laissez-faire dressing as a countermeasure. * 회사라는 = 회사라고 하는 = which is (called) the corporation. [X-(이)라는 Y] makes a reference to an entity Y with another word X, either because the person or thing is actually called that ("아이비엠이라는 회사" = a company called IBM), or as a way of elaborating on Y by giving X as the prime example or the very thing ("삶이라는 여정" = a journey called life = life the journey), by simple word substitution The latter usage is a convenient literary device with a nice ring to it, so it's used widely. For example, - 인생이란 긴 여행에서 만난 사람들 = The people I met on this long journey called life. - 부부는 불임이라는 장애물을 만났다 = The couple encountered an obstacle in the form of infertility. - 경쟁이라는 이름의 괴물 = the monster in the name of "competition". Going back to your example, - [회사라는] 큰 조직 속에서 = in a large organization, [namely the company] => in the large organization of the company. - [회사는] 큰 조직 속에서 = UNGRAMMATICAL. Simple 는 can't function as a modifier like -라는.

회사는 would mean 'company is' so it's not suitable there. 회사라는 is more like 'thing called company' ex) James라는 사람이 = person called James. so meaning would be more like 'Inside the big organization called a company'.