The Cohomology of the Groups of Order 32

In total, there are 51 groups of order 32. The total computation time with the most recent version of our program was 1:32 min using Sage 3.2 on an AMD Athlon(tm) 64 Processor 3700+ (2.2 GHz).


Groups numbered according to the Small Groups library

1–51


1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50 51


Groups with a custom name

Dihedral group of order 32

Direct product 16gp13 x C_2

Direct product 16gp3 x C_2

Direct product 16gp4 x C_2

Direct product D16 x C_2

Direct product D8 x C_4

Direct product D8 x V_4

Direct product Mod16 x C_2

Direct product Q16 x C_2

Direct product Q8 x C_4

Direct product Q8 x V_4

Direct product SD16 x C_2

Extraspecial 2-group of order 32 and type +

Extraspecial 2-group of order 32 and type -

Modular group of order 32

Quaternion group of order 32

Semidihedral group of order 32




Simon A. King David J. Green
Fakultät für Mathematik und Informatik Fakultät für Mathematik und Informatik
Friedrich-Schiller-Universität Jena Friedrich-Schiller-Universität Jena
Ernst-Abbe-Platz 2 Ernst-Abbe-Platz 2
D-07743 Jena D-07743 Jena
Germany Germany

E-mail: simon dot king at uni hyphen jena dot de
Tel: +49 (0)3641 9-46184
Fax: +49 (0)3641 9-46162
Office: Zi. 3524, Ernst-Abbe-Platz 2
E-mail: david dot green at uni hyphen jena dot de
Tel: +49 3641 9-46166
Fax: +49 3641 9-46162
Office: Zi 3512, Ernst-Abbe-Platz 2



Last change: 25.08.2009