C2

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

C2 is Abelian and simple.

Statistics
Order of group	2
GAP identifier	2,1
Presentation	< k \| k² >
Orders of elements	1 of 1, 1 of 2
Centre	C2
Derived subgroup	1
Automorphism group	1
Inner automorphism group	1
"Out" (quotient of above)	1
Schur multiplier	1

Permutation Diagrams

Sharply 1-transitive
on 2 points, odd.

Cayley Graphs

the 1-hosohedron, type I

Regular maps with C2 symmetry

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

Index to regular maps