SELECT 
  gp.*, 
  p.company_id 
FROM 
  cscart_product_variation_group_products AS gp 
  LEFT JOIN cscart_products AS p ON gp.product_id = p.product_id 
WHERE 
  gp.group_id IN (12919)

Query time 0.00123

JSON explain

{
  "query_block": {
    "select_id": 1,
    "nested_loop": [
      {
        "table": {
          "table_name": "gp",
          "access_type": "ref",
          "possible_keys": ["idx_group_id"],
          "key": "idx_group_id",
          "key_length": "3",
          "used_key_parts": ["group_id"],
          "ref": ["const"],
          "rows": 8,
          "filtered": 100
        }
      },
      {
        "table": {
          "table_name": "p",
          "access_type": "eq_ref",
          "possible_keys": ["PRIMARY"],
          "key": "PRIMARY",
          "key_length": "3",
          "used_key_parts": ["product_id"],
          "ref": ["dev_db.gp.product_id"],
          "rows": 1,
          "filtered": 100
        }
      }
    ]
  }
}

Result

product_id parent_product_id group_id company_id
18795 3869 12919 358
18794 3869 12919 358
18793 3869 12919 358
18792 3869 12919 358
18791 3869 12919 358
18790 3869 12919 358
18789 3869 12919 358
18788 3869 12919 358
3869 0 12919 358