Pauli(16)

Statistics

Order of group16
GAP identifier16,13
Presentation< a,x,y | a4, x2, y2, [a,x], [a,y], a2(xy)2 >
Orders of elements1 of 1, 1+3*2 of 2, 2*1+3*2 of 4
CentreC4
Derived subgroupC2
Automorphism groupS4×C2
Inner automorphism groupC2×C2
"Out" (quotient of above)D12
Schur multiplierC2×C2
 

Permutation Diagrams


1-transitive on 8
points, even.

1-transitive on 8
points, even.

Cayley Graphs


S2:{8,3}, type I






Index to regular maps