Endomorphism structure of elementary abelian group:E8
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Contents |
This article gives specific information, namely, endomorphism structure, about a particular group, namely: elementary abelian group:E8.
View endomorphism structure of particular groups | View other specific information about elementary abelian group:E8
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 ![]() ![]() |
512 | -- |
automorphism group | projective special linear group:PSL(3,2) (which is the same as ![]() |
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) |