Page 45 of the GAP 4.4.8 Tutorial (the pdf document's Section 5.1) has an 
example in which the result of Image(hom) is

Group([(),(),(),(4,5)(6,7), (4,6)(5,7), (2,3)(6,7), (2,4)(3,5), (1,2)(5,6)])

Why does the identity element appear thrice in the above list of generators?

Thankx.

Bruce

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