Small Residuated Lattices of order 4.1.5 

list:=[
[# 1
[ 1, 2, 3, 4 ],
[ 2, 2, 4, 4 ],
[ 3, 4, 3, 4 ],
[ 4, 4, 4, 4 ]
]
];
Computed by Peter Jipsen using GAP 4.1 (this list can be copied and read into GAP)