Number of Modified Perfect Faro Shuffles to return Deck of Cards to Original Order/Examples/Deck of 6 Cards

Theorem
Let $D$ be a deck of $6$ cards.

Let $D$ be given a sequence of modified perfect faro shuffles.

Then after $3$ such shuffles, the cards of $D$ will be in the same order they started in.

Proof
From Number of Modified Perfect Faro Shuffles to return Deck of Cards to Original Order, the cards of $D$ will return to their original order after $n$ such shuffles, where:
 * $2^n \equiv 1 \pmod 7$

Inspecting $2^n$ for $n$ from $1$:

Hence the result.