4T2 |
First permutation group without an $n$-cycle |

4T3 |
First example of same degree siblings |

5T4 |
First non-solvable Galois group |

7T5 |
Group admitting arithmetically equivalent fields |

12T46 |
First elusive group |

12T47 |
Elusive group |

12T84 |
Elusive group |

17T7 |
No number field with this Galois group is known |