there are 3 main large cartilages and 4 main small cartilages of the larynx,

all of these cartilages are made out of hyaline cartillage apart from the epiglottis cartillage which is made up of elastic cartillage

Large cartillage Small Cartillage
Epiglottis corniculate
Thyroid cunieform
Cricoid Triticeal
NA Arytenoid

the extrinsic muscles

The following muscles control the upwards movement of the larynx

Mylohyoid

Stylohyoid