C7×C2×C2 is Abelian, and is a direct product of two smaller groups.


Order of group28
GAP identifier28,4
Presentation< k,r | k14, r2, [k,r] >
Orders of elements1 of 1, 3*1 of 2, 6*1 of 7, 18*1 of 14
Derived subgroup1
Automorphism groupD6×C6
Inner automorphism group1
"Out" (quotient of above)D6×C6
Schur multiplierC2

Permutation Diagrams

Not transitive.

Not transitive.

Cayley Graphs

the 14-hosohedron, type IIa

Regular maps with C7×C2×C2 symmetry

C7×C2×C2 is the rotational symmetry group of the regular map S6:{14,14}.

Index to regular maps