The Six Strand Braid was much more difficult. I drew a diagram, and then tried a first effort, but it was way too loose didn't have the woven effect that I wanted. Just like how the 5-strand braid needed 2 cables to be done in 1 row, the 6-strand needs that in two separate rows. In essence, there are three different rows of cabling as you face the front. (Nothing happens on the back rows anyway.) The first row, strand 1 goes front, and strand 4 goes back. The second row of cables, strand 2 goes back, and strand 5 goes front. In the third row, there's only one cable: strand 3 goes front. This is what I wrote out when I figured it out--maybe it will be helpful for some of you. (The cable strands are all 3 stitches each.)
step 1. 1F, 4B
step 2. 2B, 5F
Here's the actual pattern for what I did:
Cast on 32 (7 on each side, 18 for the 6 strands)
1. (k1, p1, k1, p1, k1, p1, k1), k18, rep ( )
2. (k1, p1, k1, p1, k1, p1, k1), p18, rep ( )
3. (k1, p1, k1, p1, k1 , p1, k1), Cable 3 front (using 6 stitches total), k3, Cable 3 back, k3, rep ( )
4. rep row 2
5. (k1, p1, k1, p1, k1, p1, k1), k3, cable 3 back, k3, cable 3 front, rep ( )
6. rep row 2
7. (k1, p1, k1 ,p1, k1, p1, k1) k6, cable 3 front, k6, rep ( )
rep rows 2-7 for pattern.
Incidentally, it will take 6 repetitions of the pattern for all the strands to be back in their starting positions.