Endomorphism structure of elementary abelian group:E8

This article gives specific information, namely, endomorphism structure, about a particular group, namely: elementary abelian group:E8.
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This article describes the structure of endomorphisms (and in particular automorphisms) of elementary abelian group:E8, which is the elementary abelian group of order 8, or equivalently, the direct product of three copies of cyclic group:Z2.

Summary of information

Construct	Value	Order	Second part of GAP ID (if applicable)
endomorphism ring	matrix ring $M(3,2)$: $3 \times 3$ matrices over field:F2	512	--
automorphism group	projective special linear group:PSL(3,2) (which is the same as $GL(3,2)$)	168	42
inner automorphism group	trivial group	1	1
outer automorphism group	projective special linear group:PSL(3,2)	168	42
extended automorphism group	projective special linear group:PSL(3,2)	168	42
quasiautomorphism group	projective special linear group:PSL(3,2)	168	42
1-automorphism group	symmetric group:S7	5040	-- (order too large)