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The table below lists the 84 non-locomotive cards included with the Game of Trains. The abilities for cards 1 through 48 are in a simple periodic pattern, the card numbers displayed here on a green background. Cards 49 through 84 are not quite periodic, displayed mostly on blue with outliers on red.

abilitycard numberpicture
two spaces right  1 9 1725 3341  50 5859  68  77 gondola with minerals
protect  210 1826 3442  51  60  69  78 flatcar with covered cargo
two spaces left  311 1927 3543  52  61  70 7679 flatcar with pipes or logs
swap two, adjacent  412 2028 3644  53  62  71  80 passenger car
remove middle  513 2129 3745  54  63 6772  81 flatcar with car or truck
remove rightmost  614 2230 3846  55  64  73  82 tank car
remove leftmost  715 2331 3947  56  65  74  83 boxcar
swap two, one between  816 2432 4048 4957  66  75  84 flatcar with airplane

Not clear to the present author is why the factory chose an irregular distribution of abilities. The following alternative is periodic, and would entail minimal change to strategy or tactics.

abilitycard number
swap two, one between  1 9 1725 3341 4957 6573 81
two spaces right  210 1826 3442 5058 6674 82
remove middle  311 1927 3543 5159 6775 83
two spaces left  412 2028 3644 5260 6876 84
protect  513 2129 3745 5361 6977  
swap two, adjacent  614 2230 3846 5462 7078
remove rightmost  715 2331 3947 5563 7179
remove leftmost  816 2432 4048 5664 7280