Central product of D16 and Z4 | 32 (42) |

Central product of D8 and Q8 | 32 (50) |

Central product of D8 and Z4 | 16 (13) |

Central product of D8 and Z8 | 32 (38) |

Central product of UT(3,3) and Z9 | 81 (14) |

Dihedral group:D128 | 128 (161) |

Dihedral group:D16 | 16 (7) |

Dihedral group:D256 | 256 (539) |

Dihedral group:D32 | 32 (18) |

Dihedral group:D64 | 64 (52) |

Dihedral group:D8 | 8 (3) |

Direct product of Q16 and Z2 | 32 (41) |

Direct product of Q16 and Z4 | 64 (120) |

Direct product of Q8 and Z2 | 16 (12) |

Direct product of Q8 and Z4 | 32 (26) |

Direct product of Z16 and Z2 | 32 (16) |

Direct product of Z16 and Z4 | 64 (26) |

Direct product of Z27 and Z3 | 81 (5) |

Direct product of Z27 and Z9 | 243 (10) |

Direct product of Z32 and Z2 | 64 (50) |

Direct product of Z4 and Z2 | 8 (2) |

Direct product of Z4 and Z4 | 16 (2) |

Direct product of Z8 and Z2 | 16 (5) |

Direct product of Z8 and Z4 | 32 (3) |

Direct product of Z8 and Z8 | 64 (2) |

Direct product of Z81 and Z3 | 243 (23) |

Direct product of Z9 and Z3 | 27 (2) |

Direct product of Z9 and Z9 | 81 (2) |

Direct product of cyclic group of prime-cube order and cyclic group of prime order | |

Direct product of cyclic group of prime-square order and cyclic group of prime order | |

Direct product of cyclic group of prime-square order and cyclic group of prime-square order | |

Elementary abelian group of prime-square order | |

Elementary abelian group:E9 | 9 (2) |

Klein four-group | 4 (2) |

M16 | 16 (6) |

M27 | 27 (4) |

M32 | 32 (17) |

M64 | 64 (51) |

M81 | 81 (6) |

Nontrivial semidirect product of Z4 and Z4 | 16 (4) |

Nontrivial semidirect product of Z4 and Z8 | 32 (12) |

Nontrivial semidirect product of Z9 and Z9 | 81 (4) |

Semidihedral group:SD128 | 128 (162) |

Semidihedral group:SD16 | 16 (8) |

Semidihedral group:SD256 | 256 (540) |

Semidihedral group:SD32 | 32 (19) |

Semidihedral group:SD64 | 64 (53) |

Semidirect product of Z8 and Z4 of M-type | 32 (4) |

Semidirect product of Z8 and Z4 of dihedral type | 32 (14) |

Semidirect product of Z8 and Z4 of semidihedral type | 32 (13) |

Semidirect product of cyclic group of prime-square order and cyclic group of prime order | |

SmallGroup(243,19) | 243 (19) |

SmallGroup(243,20) | 243 (20) |

SmallGroup(32,10) | 32 (10) |

SmallGroup(32,15) | 32 (15) |

SmallGroup(32,32) | 32 (32) |

SmallGroup(32,35) | 32 (35) |

SmallGroup(32,44) | 32 (44) |

SmallGroup(32,8) | 32 (8) |

SmallGroup(81,8) | 81 (8) |

SmallGroup(81,9) | 81 (9) |

Sylow subgroup of holomorph of Z27 | 243 (22) |

Unitriangular matrix group:UT(3,3) | 27 (3) |

Unitriangular matrix group:UT(3,p) | |

Wreath product of Z4 and Z2 | 32 (11) |