Q12×C2

Q12×C2 is the direct product of two smaller groups.

Statistics

Order of group24
GAP identifier24,7
Presentation< b,r,g | b6, r4, g2, brbr3, [b,g], [r,g] >
Orders of elements1 of 1, 1+2 of 2, 2 of 3, 4*3 of 4, 3*2 of 6
CentreC2×C2
Derived subgroupC3
Automorphism groupD8×D6
Inner automorphism groupD6
"Out" (quotient of above)D8
Schur multiplierC2
Sylow-2-subgroupC4×C2
 

Permutation Diagrams


Not transitive.

Not transitive.

Cayley Graphs



Index to regular maps

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