Sandbox

SELECT 
  f.feature_id, 
  f.purpose, 
  p.product_id, 
  p.parent_product_id, 
  g.id, 
  g.code 
FROM 
  cscart_product_variation_group_features AS f 
  INNER JOIN cscart_product_variation_groups AS g ON f.group_id = g.id 
  INNER JOIN cscart_product_variation_group_products AS p ON f.group_id = p.group_id 
WHERE 
  p.product_id IN (
    316, 317, 320, 328, 330, 331, 5, 148, 180, 
    18, 16, 4
  )

Query time 0.00054

Explain
id	select_type	table	type	possible_keys	key	key_len	ref	rows	Extra
1	SIMPLE	p	ALL	PRIMARY,idx_group_id				35	Using where
1	SIMPLE	f	ALL	idx_group_id				6	Using where; Using join buffer (flat, BNL join)
1	SIMPLE	g	eq_ref	PRIMARY	PRIMARY	3	cscart_dev_4_16.p.group_id	1