For an inorganic soil sample, the grain$-$size analysis produces the following results:

For this soil, $C_u($Uniformity coefficient$)$ and $C_c$ or $C_Z($Coef$.$ of gradation$)$ are found to be $3\mathrm{.}44$

and $1\mathrm{.}59,$ respectively. Classify this soil according to

a$)$ The AASHTO soil classification system. Find the Group Index.

b$)$ The unified soil classification system. Give group symbol and group name.