[Mrs. Don-o]

I think it's one of those multiple-layer symbols, like a sheaf of wheat can symbolize the Eucharist, or it can symbolize the Gospel ("the sower soweth the seed, which is the word") etc. --- very common to have multiple meanings in Christian symbolism.

You'll find IHS on Greek icons, where it stands for the first 3 letter of Jesus' name in Greek, IHSOUS-- Iota Eta Sigma, which in our (Latin) lettering looks like IHS.

It's also reportedly carved in the wall in some of the catacombs under the city of Rome, where it's not certain if these were Latin-speaking or Greek-speaking Christians. If Latin, it is thought to mean Iesus Humanum Salvator (Jesus Savior of Mankind) or In Hoc Signum ("in this sign," i.e. the Cross.)

The Church has no problem with multi-meaning symbols. In fact, uses them all the time.

[massgopguy]

Wait until Notre Dame gets ordered to cover Touch Down Jesus.

[Romulus]

However, it does NOT mean “Ignatius High School”.