Show that a group of order $2^7 5^7$ cannot be simple
131306
Prove that a group of order $2^5 \cdot 7^5$ is not simple
102634
Order of the Rubik's cube group
95378
Known bounds for the number of groups of a given order.
157582
Inverse of $ab$ and its order in a group with relations $a^2=e=b^6$ and $ab=b^4a$
148774
show elements of order 15 in $S_8$ satisfy a relation
113413
How do I show that two groups are not isomorphic?
50940
Prove $1^{2007}+2^{2007}+\cdots+n^{2007}$ is not divisible by $n+2$
88344
Order of a group and subsequent subgroups
4402
Group of order $pqr$, $p < q < r$ primes
3439
Other proofs that subgroups of $A_5$ have order at most 12
68971
Elementary approach to proving that a group of order 9 is Abelian
59898
Elementary manipulation with elements of group
141188
Groups of order $56$
58673
Elements of order 5 in $S_7$, odd permutations of order 4 in $S_4$, and find a specific permutation in $S_7$
68201
Cyclic group of order $n$
12066
Group of order pq is not simple
111295
Prove that $a^7 + b^7 + c^7 \geq a^4b^3 + b^4c^3 + c^4a^3$