query: There is no simple group of order 400
positive_passages.docid: 46986
positive_passages.text: No group of order 400 is simple
negative_passages.docid: 49162
negative_passages.text: Classify all groups with order $pq$, $p$ is not equal to $q$
negative_passages.docid: 101735
negative_passages.text: A finite $p$-group cannot be simple unless it has order $p$
negative_passages.docid: 95378
negative_passages.text: Known bounds for the number of groups of a given order.
negative_passages.docid: 90329
negative_passages.text: Prove there is no simple group of order $729$
negative_passages.docid: 75590
negative_passages.text: How many normal subgroups does a non-abelian group $G$ of order $ 21$
negative_passages.docid: 148904
negative_passages.text: Groups of order $p^3$
negative_passages.docid: 124224
negative_passages.text: How many groups of order $n$ with center {e} exist?
negative_passages.docid: 149030
negative_passages.text: Nonisomorphic groups of order 12.
negative_passages.docid: 102429
negative_passages.text: There are 2 groups of order 6 (up to isomorphism)
negative_passages.docid: 8746
negative_passages.text: Groups of order $pq$ without using Sylow theorems
negative_passages.docid: 133272
negative_passages.text: Number of normal subgroups of a non abelian group of order $21$... CSIR December $2013$
negative_passages.docid: 33152
negative_passages.text: Classifying groups of order 18
negative_passages.docid: 35226
negative_passages.text: No simple group of order $1,000,000$
negative_passages.docid: 53990
negative_passages.text: Group with more than one element and with no proper, nontrivial sub groups must have prime order.
negative_passages.docid: 12066
negative_passages.text: Group of order pq is not simple
negative_passages.docid: 10839
negative_passages.text: Problem in Cardinality and Order