Small BCK algebras of order 4.8

Help for the posets applet
list:=[
[# 1
[ 1, 2, 3, 4 ],
[ 1, 1, 3, 4 ],
[ 1, 1, 1, 4 ],
[ 1, 1, 1, 1 ]
],
[# 2
[ 1, 2, 3, 4 ],
[ 1, 1, 2, 4 ],
[ 1, 1, 1, 4 ],
[ 1, 1, 1, 1 ]
],
[# 3
[ 1, 2, 3, 4 ],
[ 1, 1, 3, 4 ],
[ 1, 1, 1, 3 ],
[ 1, 1, 1, 1 ]
],
[# 4
[ 1, 2, 3, 4 ],
[ 1, 1, 3, 3 ],
[ 1, 1, 1, 2 ],
[ 1, 1, 1, 1 ]
],
[# 5
[ 1, 2, 3, 4 ],
[ 1, 1, 2, 3 ],
[ 1, 1, 1, 2 ],
[ 1, 1, 1, 1 ]
],
[# 6
[ 1, 2, 3, 4 ],
[ 1, 1, 2, 2 ],
[ 1, 1, 1, 2 ],
[ 1, 1, 1, 1 ]
]
];

Computed by Peter Jipsen using GAP 3.4 (this list can be copied and read into GAP)