Show that there is no simple group G, |G|=300
95196
No simple group of order $300$
24181
Showing that $G$ is a group under an alternative operation.
31687
Classification of groups of order 30
51196
A group of order $p^2q^2$ is never simple
29717
Not sure how to go about this group theory proof
141265
Finding a normal and not normal subgroup of $S_3$
156319
Show that a group with $|G| = 33$ contains an element of order $3$
86542
Group of positive rationals under multiplication not isomorphic to group of rationals
98474
Show the existence of a certain subgroup of F2
89508
Existence of normal subgroups for a group of order $36$
18881
Number of elements of order $7$ in a group
129937
How to prove that $A_5$ has no subgroup of order 30?
104112
Number of finite simple groups of given order is at most $2$ - is a classification-free proof possible?
9612
Frattini subgroup $Φ ( G )$ is not trivial
142352
how to prove $G_1$ and $G_2$ aren't isomorphic?
116737
An element of a group $G$ is not conjugate to its inverse if $\lvert G\rvert$ is odd
16259
How many non isomorphic groups of order 30 are there?