The small groups of order 32

All 51 groups of order 32 are listed and completely calculated.


Small group number 1 of order 32 Cyclic group of order 32

Small group number 2 of order 32

Small group number 3 of order 32 Abelian group C8 x C4

Small group number 4 of order 32

Small group number 5 of order 32

Small group number 6 of order 32

Small group number 7 of order 32

Small group number 8 of order 32

Small group number 9 of order 32

Small group number 10 of order 32

Small group number 11 of order 32

Small group number 12 of order 32

Small group number 13 of order 32

Small group number 14 of order 32

Small group number 15 of order 32

Small group number 16 of order 32 Abelian group C16 x C2

Small group number 17 of order 32 Modular group of order 32

Small group number 18 of order 32 Dihedral group of order 32

Small group number 19 of order 32 Semidihedral group of order 32

Small group number 20 of order 32 Quaternion group of order 32

Small group number 21 of order 32 Abelian group C4 x C4 x C2

Small group number 22 of order 32 Direct product 16gp3 x C_2

Small group number 23 of order 32 Direct product 16gp4 x C_2

Small group number 24 of order 32

Small group number 25 of order 32 Direct product D8 x C_4

Small group number 26 of order 32 Direct product Q8 x C_4

Small group number 27 of order 32

Small group number 28 of order 32

Small group number 29 of order 32

Small group number 30 of order 32

Small group number 31 of order 32

Small group number 32 of order 32

Small group number 33 of order 32

Small group number 34 of order 32

Small group number 35 of order 32

Small group number 36 of order 32 Abelian group C8 x C2 x C2

Small group number 37 of order 32 Direct product Mod16 x C_2

Small group number 38 of order 32

Small group number 39 of order 32 Direct product D16 x C_2

Small group number 40 of order 32 Direct product SD16 x C_2

Small group number 41 of order 32 Direct product Q16 x C_2

Small group number 42 of order 32

Small group number 43 of order 32

Small group number 44 of order 32

Small group number 45 of order 32 Abelian group C4 x C2 x C2 x C2

Small group number 46 of order 32 Direct product D8 x V_4

Small group number 47 of order 32 Direct product Q8 x V_4

Small group number 48 of order 32 Direct product 16gp13 x C_2

Small group number 49 of order 32 Extraspecial 2-group of order 32 and type +

Small group number 50 of order 32 Extraspecial 2-group of order 32 and type -

Small group number 51 of order 32 Elementary abelian group of order 32


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