A4×C4

A4×C4 is the direct product of two smaller groups.

Statistics

Order of group48
GAP identifier48,31
Presentation
Orders of elements
CentreC4
Derived subgroupC2×C2
Automorphism groupS4×C2
Inner automorphism groupA4
"Out" (quotient of above)C2×C2
Schur multiplierC2
Sylow-2-subgroupC4×C2×C2
 

Permutation Diagrams


Not transitive.

Cayley Graphs


S2:{8,3}, type IIa

Index to regular maps

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