D8×C3

D8×C3 is the direct product of two smaller groups.

Statistics

Order of group24
GAP identifier24,10
Presentation< k,r,g | k4, r2, g3, (kr)2, [k,g], [r,g] >
Orders of elements1 of 1, 1+2*2 of 2, 2*1 of 3, 2 of 4, 2*1+4*2 of 6, 2*2 of 12
CentreC6
Derived subgroupC2
Automorphism groupD8×C2
Inner automorphism groupC2×C2
"Out" (quotient of above)C4
Schur multiplierC2
Sylow-2-subgroupD8
 

Permutation Diagrams


Not transitive.

Cayley Graphs




Index to regular maps

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