The small groups of order 243

All 67 groups of order 243 are listed.

Only 10 of the groups listed have been completely calculated.

To the incomplete calculations


The complete calculations

Small group number 1 of order 243 Cyclic group of order 243

Small group number 2 of order 243

Small group number 10 of order 243 Abelian group C27 x C9

Small group number 16 of order 243

Small group number 23 of order 243 Abelian group C81 x C3

Small group number 26 of order 243

Small group number 31 of order 243 Abelian group C9 x C9 x C3

Small group number 48 of order 243 Abelian group C27 x C3 x C3

Small group number 61 of order 243 Abelian group C9 x C3 x C3 x C3

Small group number 67 of order 243 Elementary abelian group of order 243


The incomplete calculations

Small group number 3 of order 243 **INCOMPLETE**

Small group number 4 of order 243 **INCOMPLETE**

Small group number 5 of order 243 **INCOMPLETE**

Small group number 6 of order 243 **INCOMPLETE**

Small group number 7 of order 243 **INCOMPLETE**

Small group number 8 of order 243 **INCOMPLETE**

Small group number 9 of order 243 **INCOMPLETE**

Small group number 11 of order 243 **INCOMPLETE**

Small group number 12 of order 243 **INCOMPLETE**

Small group number 13 of order 243 **INCOMPLETE**

Small group number 14 of order 243 **INCOMPLETE**

Small group number 15 of order 243 **INCOMPLETE**

Small group number 17 of order 243 **INCOMPLETE**

Small group number 18 of order 243 **INCOMPLETE**

Small group number 19 of order 243 **INCOMPLETE**

Small group number 20 of order 243 **INCOMPLETE**

Small group number 21 of order 243 **INCOMPLETE**

Small group number 22 of order 243 **INCOMPLETE**

Small group number 24 of order 243 **INCOMPLETE**

Small group number 25 of order 243 **INCOMPLETE**

Small group number 27 of order 243 **INCOMPLETE**

Small group number 28 of order 243 **INCOMPLETE**

Small group number 29 of order 243 **INCOMPLETE**

Small group number 30 of order 243 **INCOMPLETE**

Small group number 32 of order 243 Direct product 81gp3 x C_3 **INCOMPLETE**

Small group number 33 of order 243 Direct product 81gp4 x C_3 **INCOMPLETE**

Small group number 34 of order 243 **INCOMPLETE**

Small group number 35 of order 243 Direct product E27 x C_9 **INCOMPLETE**

Small group number 36 of order 243 Direct product M27 x C_9 **INCOMPLETE**

Small group number 37 of order 243 **INCOMPLETE**

Small group number 38 of order 243 **INCOMPLETE**

Small group number 39 of order 243 **INCOMPLETE**

Small group number 40 of order 243 **INCOMPLETE**

Small group number 41 of order 243 **INCOMPLETE**

Small group number 42 of order 243 **INCOMPLETE**

Small group number 43 of order 243 **INCOMPLETE**

Small group number 44 of order 243 **INCOMPLETE**

Small group number 45 of order 243 **INCOMPLETE**

Small group number 46 of order 243 **INCOMPLETE**

Small group number 47 of order 243 **INCOMPLETE**

Small group number 49 of order 243 Direct product 81gp6 x C_3 **INCOMPLETE**

Small group number 50 of order 243 **INCOMPLETE**

Small group number 51 of order 243 Direct product 81gp7 x C_3 **INCOMPLETE**

Small group number 52 of order 243 Direct product 81gp8 x C_3 **INCOMPLETE**

Small group number 53 of order 243 Direct product 81gp9 x C_3 **INCOMPLETE**

Small group number 54 of order 243 Direct product 81gp10 x C_3 **INCOMPLETE**

Small group number 55 of order 243 **INCOMPLETE**

Small group number 56 of order 243 **INCOMPLETE**

Small group number 57 of order 243 **INCOMPLETE**

Small group number 58 of order 243 **INCOMPLETE**

Small group number 59 of order 243 **INCOMPLETE**

Small group number 60 of order 243 **INCOMPLETE**

Small group number 62 of order 243 Direct product E27 x C_3 x C_3 **INCOMPLETE**

Small group number 63 of order 243 Direct product M27 x C_3 x C_3 **INCOMPLETE**

Small group number 64 of order 243 Direct product E27*C3 x C_3 **INCOMPLETE**

Small group number 65 of order 243 Extraspecial 3-group of order 243 and exponent 3 **INCOMPLETE**

Small group number 66 of order 243 Extraspecial 3-group of order 243 and exponent 9 **INCOMPLETE**


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