Gapplet
Clearly,
A5 is a normal subgroup of S5.
But the group A5 does not have any normal subgroups other than
the trivial subgroup and the group itself.
To illustrate this, specify a subgroup H by a set of generators;
then an element g 
A5 is determined
such that gH 
Hg.
Input a sequence of permutations in A5, e.g., (1,2,3), (3,4,5). |
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Determine normality of this subgroup of A5.
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