The small groups of order 625

All 15 groups of order 625 are listed.

Only 14 of the groups listed have been completely calculated.

To the incomplete calculation

The complete calculations

Small group number 1 of order 625 Cyclic group of order 625

Small group number 2 of order 625 Abelian group C₂₅ x C₂₅

Small group number 3 of order 625

Small group number 4 of order 625

Small group number 5 of order 625 Abelian group C₁₂₅ x C₅

Small group number 6 of order 625

Small group number 8 of order 625

Small group number 9 of order 625

Small group number 10 of order 625

Small group number 11 of order 625 Abelian group C₂₅ x C₅ x C₅

Small group number 12 of order 625 Direct product E125 x C_5

Small group number 13 of order 625 Direct product M125 x C_5

Small group number 14 of order 625 Central product E125 * C_25

Small group number 15 of order 625 Elementary abelian group of order 625

The incomplete calculations

Small group number 7 of order 625 Sylow 5-subgroup of Co_1 **INCOMPLETE**