C4×C2×C2

C4×C2×C2 is Abelian, and is a direct product of two smaller groups.

Statistics

Order of group16
GAP identifier16,10
Presentation< p,q,r | p4, q2, r2, [p,q], [q,r], [r,p] >
Orders of elements1 of 1, 1+6*1 of 2, 8*1 of 4
CentreC4×C2×C2
Derived subgroup1
Automorphism groupa group of order 192
Inner automorphism group1
"Out" (quotient of above)a group of order 192
Schur multiplierC2
 

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