What is the order of $Aut(PSL(3,4))$?
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Gap computes in in a couple seconds, or find it in the Atlas http://brauer.maths.qmul.ac.uk/Atlas/v3/scripts/group2.php?id=184&subpage=1 The outer automorphism group is D12, the full automorphism group has order 12*20160. 

