Is there a Maple function that given a group gives its name?

How do I make my Maple use delta instead of d for differential equations?

example:

What Maple function answers the following:

Produce (a minimal set of) sets that generate, by union, every intersection of sets given.

Examples:
F({1, 2, 3}, {1, 4, 5}, {2, 3, 4});
{}, {1}, {4}, {5}, {2, 3};

F({1, 2, 3, 6}, {1, 4, 5, 6}, {2, 3, 4, 6});
{1}, {4}, {5}, {6}, {2, 3};

Correction:
Produce (a minimal set of) disjoint sets that generate, by union, every intersection of sets given.

Intersection and union here are n-ary operators and every combination of sets is considered for intersection.

Images posted on Maple Primes, if too large, are scaled down to match the post size. Is there a way to attach a scroll bar to allow full scale viewing instead?

Why does Maple not have texture fill for plotting. Even the old Pascal had it.