(C2×C2) ⋊ C4

Statistics

Order of group16
GAP identifier16,3
Presentation< r,g,e | r2, g2, e4, [r,g], ere3g, ege3r >
Orders of elements1 of 1, 1+2*1+4*2 of 2, 2*2 of 4
CentreC2×C2
Derived subgroupC2
Automorphism groupa group of order 32
Inner automorphism groupC2×C2
"Out" (quotient of above)a group of order 8
Schur multiplierC2×C2
 

Permutation Diagrams


Not transitive.

Not transitive.

Not transitive.

Cayley Graphs



{4,4}(2,0), type II

{4,4}(2,0), type IIa

{4,4}(4,0), type I

Regular maps with (C2×C2) ⋊ C4 symmetry

(C2×C2) ⋊ C4 is the rotational symmetry group of the regular map {4,4}(2,0).


Index to regular maps

Orientable sphere | torus | 2 | 3 | 4 | 5 | 6
Non-orientable projective plane | 4 | 5 | 6 | 7