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File:Symmetric group S4; lattice of subgroups Hasse diagram; 11 different cycle graphs.svg

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Summary

Description
all 30 distinct subgroups

The Sloane's A000638(4) = 11 types of subgroups of the symmetric groups S4
(Subgroups with the same colored cycle graph are bundled together.)

Edge colors indicate the quotient of the connected groups' orders: red 2, green 3, blue 4

Subgroups of S4 (this file)
Subgroups of S4 specifically as the symmetry group of the tetrahedron Td
Subgroups of S4 specifically as the chiral octahedral group O or [4,3]+
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Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".

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Date/TimeThumbnailDimensionsUserComment
current17:46, 7 May 2017Thumbnail for version as of 17:46, 7 May 2017840 × 1,091 (125 KB)Watchducklayout
13:30, 16 November 2016Thumbnail for version as of 13:30, 16 November 2016843 × 1,087 (123 KB)Watchduckcolor forgotten edge
23:17, 30 October 2016Thumbnail for version as of 23:17, 30 October 2016843 × 1,087 (123 KB)Watchduck{{Information |Description ={{en|1=Like 100px, but with clusters of dots replaced by the colored cycle graph they have in common Edge colors indicate the quotient of t...

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