D6×C4 is the direct product of two smaller groups.


Order of group24
GAP identifier24,5
Presentation< k,r,g | k3, r2, g4, (kr)2, [k,g], [r,g] >
Orders of elements1 of 1, 1+2*3 of 2, 2 of 3, 2*1+2*3 of 4, 2 of 6, 2*2 of 12
Derived subgroupC3
Automorphism groupD6×C2×C2
Inner automorphism groupD6
"Out" (quotient of above)C2×C2
Schur multiplierC2

Permutation Diagrams

Not transitive.

Not transitive.

Cayley Graphs

Regular maps with D6×C4 symmetry

D6×C4 is the rotational symmetry group of the regular maps S3:{12,4},   S3:{4,12},   rectification of S3:{12,4}.

Index to regular maps