C2

Also called  GL(2,2),   A12,   SL(2,2),   PSL(2,2),   S2.

C2 is Abelian and simple.

Statistics

Order of group2
GAP identifier2,1
Presentation< k | k2 >
Orders of elements1 of 1, 1 of 2
CentreC2
Derived subgroup1
Automorphism group1
Inner automorphism group1
"Out" (quotient of above)1
Schur multiplier1
 

Permutation Diagrams


Sharply 1-transitive
on 2 points, odd.

Cayley Graphs


the monodigon, type I


Regular maps with C2 symmetry

C2 is the rotational symmetry group of the regular maps the monodigon,   the dimonogon,   the 1-lucanicohedron.


Index to regular maps