Groups of order 1800

Statistics at a glance
The number 1800 has prime factors 2, 3 and 5. The prime factorization is as follows:

$$\! 1800 = 2^3 \cdot 3^2 \cdot 5^2 = 8 \cdot 9 \cdot 25$$

There are both solvable and non-solvable groups of this order.