Subdirectly Irreducible Nil Semigroups of order 5

list:=[
[# 1
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0 ],
[ 0, 0, 1, 0, 0 ]
],
[# 2
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0 ],
[ 0, 0, 1, 0, 1 ]
],
[# 3
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0 ],
[ 0, 0, 1, 0, 2 ]
],
[# 4
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 1 ],
[ 0, 0, 1, 1, 0 ]
],
[# 5
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 1 ],
[ 0, 0, 1, 1, 1 ]
],
[# 6
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 1 ],
[ 0, 0, 1, 1, 2 ]
],
[# 7
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 2 ],
[ 0, 0, 1, 2, 3 ]
],
[# 8
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 1 ],
[ 0, 0, 1, 0, 1 ],
[ 0, 0, 1, 1, 0 ]
],
[# 9
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 1 ],
[ 0, 0, 1, 0, 1 ],
[ 0, 0, 1, 1, 1 ]
],
[# 10
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 1 ],
[ 0, 0, 1, 1, 0 ],
[ 0, 0, 1, 0, 1 ]
],
[# 11
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 1 ]
],
[# 12
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 1 ],
[ 0, 0, 0, 1, 1 ],
[ 0, 0, 1, 1, 1 ]
]
];