Order of the product of two groups
5042
Order of a product of subgroups. Prove that $o(HK) = \frac{o(H)o(K)}{o(H \cap K)}$.
71245
$2 \times 2 $ Orthogonal Group
102971
Product of all elements of a finite group with an unique element of order 2
75127
Group $G$ of order $p^2$: $\;G\cong \mathbb Z_{p^2}$ or $G\cong \mathbb Z_p \times \mathbb Z_p$
103002
Group equals union of two subgroups
104513
Order of elements in $Z_n$
83654
Order of an element in a finite cyclic group
146278
Automorphism group of direct product of groups
5089
An element of a group has the same order as its inverse
62035
Order of automorphism group of cyclic group
78696
Galois group of the product of two fields being the product of Galois groups?
104080
Group with order $pq$ has subgroups of order $p$ and $q$
59211
Product of Finite Abelian Group
62255
Notation question: Subroup generated by two elements?
8483
A Particular Two-Variable System in a Group
933
How many groups exist with order $n$ (two isomorphic groups are treated as the same group)
55719
Order of general- and special linear groups over finite fields.