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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Shashi ranjan sinha Best Answer
If there exist a subgroup of order 6 in A4, then we have shown by the proof 1 that it would must contain all 3-cycles in that group, which is absurd because we have total 8 elements of order 3 in A4 and they can't be all contained in a subgroup of order 6.