Question: I know that the answer to the question "what was given as a sample?" is in "Quotient groups and subgroups together form a way of describing every group by its presentation: any group is the quotient of the free group over the generators of the group, quotiented by the subgroup of relations. The dihedral group D4, for example, can be generated by two elements r and f (for example, r = r1, the right rotation and f = fv the vertical (or any other) reflection), which means that every symmetry of the square is a finite composition of these two symmetries or their inverses. Together with the relations". Can you tell me what it is?
Answer: dihedral group D4

Question: I know that the answer to the question "what ethnicity is mentioned second?" is in "At the same time the Empire style in France was a more grandiose wave of neoclassicism in architecture and the decorative arts. Mainly based on Imperial Roman styles, it originated in, and took its name from, the rule of Napoleon I in the First French Empire, where it was intended to idealize Napoleon's leadership and the French state. The style corresponds to the more bourgeois Biedermeier style in the German-speaking lands, Federal style in the United States, the Regency style in Britain, and the Napoleonstil in Sweden. According to the art historian Hugh Honour "so far from being, as is sometimes supposed, the culmination of the Neo-classical movement, the Empire marks its rapid decline and transformation back once more into a mere antique revival, drained of all the high-minded ideas and force of conviction that had inspired its masterpieces".". Can you tell me what it is?
Answer: French

Question: I know that the answer to the question "What sort of very large thing is Uranus?" is in "Neptune is similar in composition to Uranus, and both have compositions that differ from those of the larger gas giants, Jupiter and Saturn. Like Jupiter and Saturn, Neptune's atmosphere is composed primarily of hydrogen and helium, along with traces of hydrocarbons and possibly nitrogen, but contains a higher proportion of "ices" such as water, ammonia, and methane. However, its interior, like that of Uranus, is primarily composed of ices and rock, and hence Uranus and Neptune are normally considered "ice giants" to emphasise this distinction. Traces of methane in the outermost regions in part account for the planet's blue appearance.". Can you tell me what it is?
Answer:
ice giants