SELECT 
  category_id, 
  parent_id 
FROM 
  q_categories 
WHERE 
  parent_id IN(
    301, 551, 191, 413, 470, 439, 423, 418, 
    185, 382, 13, 192, 402, 383, 159, 6, 50, 
    427, 419, 193, 38, 77, 12, 454, 512, 415, 
    385, 168, 194, 278, 560, 548, 190, 184, 
    195, 555, 561, 207, 196, 248, 562, 360, 
    299, 401, 412, 167, 425, 199, 177, 438, 
    544, 200, 422, 201, 202, 552, 554, 204, 
    206, 386, 420, 424, 469, 513, 428, 429, 
    556
  )

Query time 0.00309

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "134.53"
    },
    "table": {
      "table_name": "q_categories",
      "access_type": "ALL",
      "possible_keys": [
        "parent"
      ],
      "rows_examined_per_scan": 598,
      "rows_produced_per_join": 238,
      "filtered": "39.97",
      "cost_info": {
        "read_cost": "86.73",
        "eval_cost": "47.80",
        "prefix_cost": "134.53",
        "data_read_per_join": "631K"
      },
      "used_columns": [
        "category_id",
        "parent_id"
      ],
      "attached_condition": "(`portal`.`q_categories`.`parent_id` in (301,551,191,413,470,439,423,418,185,382,13,192,402,383,159,6,50,427,419,193,38,77,12,454,512,415,385,168,194,278,560,548,190,184,195,555,561,207,196,248,562,360,299,401,412,167,425,199,177,438,544,200,422,201,202,552,554,204,206,386,420,424,469,513,428,429,556))"
    }
  }
}

Result

category_id parent_id
437 412
543 190
551 190
7 6
13 12
14 13
40 38
51 50
78 77
160 159
169 168
185 184
191 190
208 207
249 248
279 278
382 299
384 383
413 412
418 191
423 422
426 425
439 438
440 439
455 454
470 469
471 470
514 513
545 544
564 555
576 401
15 13
41 38
50 12
68 50
79 77
159 6
161 159
170 168
186 184
192 190
217 207
257 248
284 278
383 299
402 383
414 412
419 191
427 425
431 299
442 439
443 438
472 470
493 422
515 513
546 544
38 13
42 38
77 50
80 77
162 159
168 6
171 168
187 184
193 190
218 207
273 248
288 278
385 299
415 412
454 438
473 470
494 422
512 383
516 513
547 544
43 38
44 13
81 77
84 50
95 12
163 159
172 168
184 6
189 184
194 190
219 207
278 248
289 278
387 299
416 412
460 438
474 470
517 513
548 544
560 383
82 77
83 38
164 159
173 168
195 190
220 207
290 278
292 6
302 248
378 184
388 299
417 412
475 470
476 438
555 12
561 383
165 159
174 168
196 190
221 207
291 278
360 6
361 248
389 299
411 184
479 438
582 12
562 383
565 412
615 469
401 299
166 159
175 168
197 190
222 207
393 248
406 6
465 184
587 438
604 12
167 159
176 168
198 190
223 207
395 248
412 299
425 6
536 184
177 168
199 190
224 207
421 299
438 6
495 159
544 248
558 184
200 190
225 207
422 299
445 6
563 159
566 248
179 168
201 190
226 207
519 6
550 299
569 248
570 159
552 299
180 168
202 190
233 207
596 6
598 248
367 6
181 168
203 190
234 207
554 299
182 168
204 190
241 207
557 299
619 6
183 168
206 190
242 207
559 299
188 168
243 207
386 190
618 299
244 168
379 207
420 190
424 190
469 207
481 168
428 190
513 207
518 168
429 190
521 168
580 207
522 168
556 190
614 207
529 168
531 168