Q8

Also called  Dic8,   quaternion.

Statistics

Order of group8
GAP identifier8,4
Presentation< r,b | r4, b4, rbr3b, r2b2 >
Orders of elements1 of 1, 1 of 2, 3*2 of 4
CentreC2
Derived subgroupC2
Automorphism groupS4
Inner automorphism groupC2×C2
"Out" (quotient of above)D6
Schur multiplier1
 

Permutation Diagrams


1-transitive on 8
points, even.

Cayley Graphs


{4,4}(2,2), type I





Index to regular maps

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