S4×C2
Also called full octahedral group.
S4×C2 is the direct product of two smaller groups.
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1-transitive on 6 points, odd. |
1-transitive on 6 points, odd. |
1-transitive on 6 points, odd. |
1-transitive on 6 points, odd. |
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S4×C2 is the rotational symmetry group of the regular maps N4:{4,6}6, N4:{4,6}3, N4:{6,4}3, rectification of C4:{6,4}3.
S4×C2 is the full symmetry group of the regular maps {3,6}(2,2), {6,3}(2,2), the octahedron, the cube, the cuboctahedron, octahemioctahedron.
Groups of order 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 27 28 30 48 60 120 168 336 360 720 
Index to regular maps