Sitting on a Division Bench of Apex Court, Justice Katju held as follows,

From Para 11,

11. In this connection we would like to state that if a person has a grievance that the police station is not registering his FIR under Section 154 Cr.P.C., then he can approach the Superintendent of Police under Section 154(3) Cr.P.C. by an application in writing. Even if that does not yield any satisfactory result in the sense that either the FIR is still not registered, or that even after registering it no proper investigation is held, it is open to the aggrieved person to file an application under Section 156 (3) Cr.P.C. before the learned Magistrate concerned. If such an application under Section 156 (3) is filed before the Magistrate, the Magistrate can direct the FIR to be registered and also can direct a proper investigation to be made, in a case where, according to the aggrieved person, no proper investigation was made. The Magistrate can also under the same provision monitor the investigation to ensure a proper investigation.

And then from para 17 and 18,

17. In our opinion Section 156(3) Cr.P.C. is wide enough to include all such powers in a Magistrate which are necessary for ensuring a proper investigation, and it includes the power to order registration of an F.I.R. and of ordering a proper investigation if the Magistrate is satisfied that a proper investigation has not been done, or is not being done by the police. Section 156(3) Cr.P.C., though briefly worded, in our opinion, is very wide and it will include all such incidental powers as are necessary for ensuring a proper investigation.
18. It is well-settled that when a power is given to an authority to do something it includes such incidental or implied powers which would ensure the proper doing of that thing. In other words, when any power is expressly granted by the statute, there is impliedly included in the grant, even without
special mention, every power and every control the denial of which would render the grant itself ineffective. Thus where an Act confers jurisdiction it impliedly also grants the power of doing all such acts or employ such means as are essentially necessary to its execution.

Then from para 24-28,

24. In view of the above-mentioned legal position, we are of the view that although Section 156(3) is very-briefly worded, there is an implied power in the Magistrate under Section 156(3) Cr.P.C. to order registration of a criminal offence and /or to direct the officer in charge of the concerned police station to hold a proper investigation and take all such necessary steps that may be necessary for ensuring a proper investigation including monitoring the same. Even though these powers have not been expressly mentioned in Section 156(3) Cr.P.C., we are of the opinion that they are implied in the above provision.
25. We have elaborated on the above matter because we often find that when someone has a grievance that his FIR has not been registered at the police station and/or a proper investigation is not being done by the police, he rushes to the High Court to file a writ petition or a petition under Section 482 Cr.P.C. We are of the opinion that the High Court should not encourage this practice and should ordinarily refuse to interfere in such matters, and relegate the petitioner to his alternating remedy, firstly under Section 154(3) and Section 36 Cr.P.C. before the concerned police officers, and if that is of no avail, by approaching the concerned Magistrate under Section 156(3).
26. If a person has a grievance that his FIR has not been registered by the police station his first remedy is to approach the Superintendent of Police under Section 154(3) Cr.P.C. or other police officer referred to in Section 36 Cr.P.C. If despite approaching the Superintendent of Police or the officer referred to in Section 36 his grievance still persists, then he can approach a Magistrate under Section 156(3) Cr.P.C. instead of rushing to the High Court by way of a writ petition or a petition under Section 482 Cr.P.C. Moreover he has a further remedy of filing a criminal complaint under Section 200 Cr.P.C. Why then should writ petitions or Section 482 petitions be entertained when there are so many alternative remedies?
27. As we have already observed above, the Magistrate has very wide powers to direct registration of an FIR and to ensure a proper investigation,
and for this purpose he can monitor the investigation to ensure that the investigation is done properly (though he cannot investigate himself). The
High Court should discourage the practice of filing a writ petition or petition under Section 482 Cr.P.C. simply because a person has a grievance that his FIR has not been registered by the police, or after being registered, proper investigation has not been done by the police. For this grievance, the remedy lies under Sections 36 and 154(3) before the concerned police officers, and if that is of no avail, under Section 156(3) Cr.P.C. before the Magistrate or by filing a criminal complaint under Section 200 Cr.P.C. and not by filing a writ petition or a petition under Section 482 Cr.P.C.
28. It is true that alternative remedy is not an absolute bar to a writ petition, but it is equally well settled that if there is an alternative remedy the High Court should not ordinarily interfere.

And finally from para 30 and 31,

30. It may be further mentioned that in view of Section 36 Cr.P.C. if a person is aggrieved that a proper investigation has not been made by the officer-in-charge of the concerned police station, such aggrieved person can approach the Superintendent of Police or other police officer superior in rank to the officer-in-charge of the police station and such superior officer can, if he so wishes, do the investigation vide CBI vs. State of Rajasthan and another 2001 (3) SCC 333 (vide para 11), R.P. Kapur vs. S.P. Singh AIR 1961 SC 1117 etc. Also, the State Government is competent to direct the Inspector General, Vigilance to take over the investigation of a cognizable offence registered at a police station vide State of Bihar vs. A.C. Saldanna (supra).
31. No doubt the Magistrate cannot order investigation by the CBI vide CBI vs. State of Rajasthan and another (Supra), but this Court or the High Court has power under Article 136 or Article 226 to order investigation by the CBI. That, however should be done only in some rare and exceptional case, otherwise, the CBI would be flooded with a large number of cases and would find it impossible to properly investigate all of them.

Citations : [2007 AIOL 1247], [2007 JT 13 466], [2008 SCC 2 409], [2008 AIR SC 309], [2007 CRIMES SC 4 338], [2008 SUPREME 8 226], [2007 SCR 12 1100], [2008 SCC CRI 1 440], [2007 SCALE 13 693], [2008 AIR SC 907], [2008 AIC SC 62 236], [2008 KERLT 1 724], [2008 AIR SCW 309], [2008 GUJ LR 2 1666]

Other Sources :

https://indiankanoon.org/doc/1836621/

https://www.casemine.com/judgement/in/5609ae45e4b01497114135cc