# Algebra group structures for groups of order 8

From Groupprops

## Contents |

This article gives specific information, namely, algebra group structures, about a family of groups, namely: groups of order 8.

View algebra group structures for group families | View algebra group structures for groups of a particular order |View other specific information about groups of order 8

Group | GAP ID second part | Hall-Senior number | Nilpotency class | Algebra group structures page |
---|---|---|---|---|

cyclic group:Z8 | 1 | 3 | 1 | Z8 is not an algebra group |

direct product of Z4 and Z2 | 2 | 2 | 1 | algebra group structures for direct product of Z4 and Z2 |

dihedral group:D8 | 3 | 4 | 2 | algebra group structures for dihedral group:D8 |

quaternion group | 4 | 5 | 2 | algebra group structures for quaternion group |

elementary abelian group:E8 | 5 | 1 | 1 | algebra group structures for elementary abelian group:E8 |