Whether the virtue of penance is a species of justice?

Objections

Objection 1 : It would seem that the virtue of penance is not a species of justice. For justice is not a theological but a moral virtue, as was shown in the SS, Question [62], Article [3]. But penance seems to be a theological virtue, since God is its object, for it makes satisfaction to God, to Whom, moreover, it reconciles the sinner. Therefore it seems that penance is not a species of justice.
Objection 2 : Further, since justice is a moral virtue it observes the mean. Now penance does not observe the mean, but rather goes to the extreme, according to Jer. 6:26: "Make thee mourning as for an only son, a bitter lamentation." Therefore penance is not a species of justice.
Objection 3 : Further, there are two species of justice, as stated in Ethic. v, 4, viz. "distributive" and "commutative." But penance does not seem to be contained under either of them. Therefore it seems that penance is not a species of justice.
Objection 4 : Further, a gloss on Lk. 6:21, "Blessed are ye that weep now," says: "It is prudence that teaches us the unhappiness of earthly things and the happiness of heavenly things." But weeping is an act of penance. Therefore penance is a species of prudence rather than of justice.