Small Residuated Lattices of order 6.2.53

list:=[
[# 1
[ 1, 1, 3, 4, 4, 6 ],
[ 1, 2, 3, 4, 5, 6 ],
[ 3, 3, 3, 6, 6, 6 ],
[ 4, 4, 6, 4, 4, 6 ],
[ 4, 5, 6, 4, 5, 6 ],
[ 6, 6, 6, 6, 6, 6 ]
]
];