According to Abhinaya Darpana Samyukta Hasta Mudra is of 23 types.
Anjalishcha kapotashcha karkata svastikastatha Dolahasta pushpaputa utsanga shivalingakaha Katakavardhanashchaiva kartarisvastikastatha shakatam shankha chakrecha samputa pasha kilakau Matsya kurmo varahashcha garudo nagabandhakaha khatva bherundakaakhyashcha avahittastathaiva cha Chaturvimshati samkhyaakah samyutah kathitah karaah ll
Anjali – salutation, Kapota – pigeon, Karkata – crab, Svastika – crossed, Dolahastha – hanging hands
Pushpaputa – handful of flowers, Utsanga – embrace, Shivalinga – Lord Shiva, Katakaavardhana – bangles / bracelets, Kartaisvastika – crossed scissors, Shakata – cart, Shankha – conch, Chakra – discus
Samputa – covered box, Pasha – rope/cord, Kilaka – bond, Matsya – fish, Kurma – tortise, Varaha – boar
Garuda – eagle, Nagabandha – two snakes, Khatva – cot, Bherunda – mythical bird with two heads
For images of samyukta hasta mudras, please visit – https://www.pinterest.com/pin/363947213623508035/