Q8×C3

Q8×C3 is the direct product of two smaller groups.

Statistics

Order of group24
GAP identifier24,11
Presentation< r,b,g | r4, b4, g3, r2b2, [r,g], [b,g] >
Orders of elements1 of 1, 1 of 2, 2*1 of 3, 3*2 of 4, 2*1 of 6, 6*2 of 12
CentreC6
Derived subgroupC2
Automorphism groupS4×C2
Inner automorphism groupC2×C2
"Out" (quotient of above)D12
Schur multiplier1
Sylow-2-subgroupQ8
 

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