C2×C2×C2×C2

C2×C2×C2×C2 is Abelian, and is a direct product of two smaller groups.

Statistics

Order of group16
GAP identifier16,14
Presentation< p,q,r,s | p2, q2, r2, s2, [p,q], [q,r], [r,s], [s,p], [p,r], [q,s] >
Orders of elements1 of 1, 15*1 of 2
CentreC2×C2×C2×C2
Derived subgroup1
Automorphism groupPSL(4,2)
Inner automorphism groupC11
"Out" (quotient of above)PSL(4,2)
Schur multiplierC2×C2×C2×C2×C2×C2
 

Permutation Diagrams


Not transitive.

Not transitive.

Cayley Graphs



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

Index to regular maps

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