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Summary

Description
English: Hasse-Diagram of Sporadic Groups

All the Sporadic groups in their subquotient relationship.

   Y
  /   means: X is subquotient of Y,
 X    and there is no simple subquotient inbetween.

Generations of Happy Family:

 Mathieu groups (1st)       = red,
 Leech lattice groups (2nd) = green,
 other Monster subquotients = blue,
 Pariahs                    = white.

digraph G { M11 -> McL; M11 -> HS; M11 -> M12; M11 -> M23; M11 -> O’N; M12 -> Co3; M12 -> Suz; M12 -> HN; M12 -> M24; M12 -> Fi22; M22 -> Fi22; M22 -> McL; M22 -> HS; M22 -> M23; M23 -> Co3; M23 -> Co2; M23 -> M24; M23 -> Fi23; M24 -> Co1; M24 -> J4; M24 -> Fi24; J2 -> Suz; HS -> Co3; HS -> Co2; HS -> HN; McL -> Ly; McL -> Co3; McL -> Co2; He -> Fi24; Suz -> Co1; Co3 -> Co1; Co2 -> Co1; Co2 -> B; Co1 -> M; HN -> B; Th -> B; Fi22 -> Fi23; Fi23 -> B; Fi23 -> M; Fi24 -> M; B -> M; M; J1 -> O’N; J3; J4; Ly; O’N; Ru; rankdir=BT

}
Date
Source Own work based on: Finitesubgroups.svg by Nomen4Omen
Author Drschawrz
SVG development
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The SVG code is valid.
 
This diagram was created with Inkscape, and then manually edited
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This diagram uses embedded text.

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
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  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

Captions

Sporadic Simple Groups and their connections

Items portrayed in this file

depicts

1 September 2020

image/svg+xml

8,196 byte

560 pixel

670 pixel

161a520815e36d7c440e556bbb86f10afa66a6e0

File history

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Date/TimeThumbnailDimensionsUserComment
current18:51, 16 February 2024Thumbnail for version as of 18:51, 16 February 2024670 × 560 (8 KB)GlrxWorkaround librsvg text chunk bug // Editing SVG source code using c:User:Rillke/SVGedit.js
12:03, 19 April 2021Thumbnail for version as of 12:03, 19 April 2021670 × 560 (9 KB)Nomen4Omenalignment
11:53, 19 April 2021Thumbnail for version as of 11:53, 19 April 2021670 × 560 (9 KB)Nomen4Omenalignment
08:56, 19 April 2021Thumbnail for version as of 08:56, 19 April 2021670 × 560 (9 KB)Nomen4Omensee User talk:Nomen4Omen
18:36, 15 April 2021Thumbnail for version as of 18:36, 15 April 2021669 × 555 (106 KB)Nomen4Omentext not converted to path + a little bit less garbage
15:50, 25 November 2020Thumbnail for version as of 15:50, 25 November 2020289 × 241 (116 KB)Nomen4Omenscale
14:41, 3 September 2020Thumbnail for version as of 14:41, 3 September 2020680 × 560 (114 KB)Nomen4Omenwithout arrowheads
18:08, 1 September 2020Thumbnail for version as of 18:08, 1 September 2020700 × 600 (131 KB)Nomen4Omenadded arrow M11 -> O'N; removed arrow F23 -> M; reordered for fewer crossovers; group generations in colors.
09:42, 10 June 2020Thumbnail for version as of 09:42, 10 June 2020980 × 540 (44 KB)Hark01Corrections from en:User:Drschawrz's File:Finitesubgroups.svg: (1) symbols: T; (2) line from T -> Ru; T - Fi22; (3) Generations of Happy Family: Mathieu groups = parallelogram, Leech lattice groups = diamond, other Monster subgroups = box
18:06, 22 March 2017Thumbnail for version as of 18:06, 22 March 2017690 × 463 (68 KB)Nomen4Omenpaths
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