# 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 : matrices over field:F2 | 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) |