Category:Subgroup structure of particular groups

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Extremely important and basic groups (importance rank 1):

 Specific information aboutFamily version
Subgroup structure of Klein four-groupKlein four-group
Subgroup structure of cyclic group:Z4Cyclic group:Z4
Subgroup structure of symmetric group:S3Symmetric group:S3

Very important groups (importance rank 2):

 Specific information aboutFamily version
Subgroup structure of alternating group:A4Alternating group:A4
Subgroup structure of alternating group:A5Alternating group:A5
Subgroup structure of alternating group:A6Alternating group:A6
Subgroup structure of dihedral group:D8Dihedral group:D8
Subgroup structure of direct product of Z4 and Z2Direct product of Z4 and Z2
Subgroup structure of projective special linear group:PSL(3,2)Projective special linear group:PSL(3,2)
Subgroup structure of quaternion groupQuaternion group
Subgroup structure of special linear group:SL(2,3)Special linear group:SL(2,3)
Subgroup structure of special linear group:SL(2,5)Special linear group:SL(2,5)
Subgroup structure of symmetric group:S4Symmetric group:S4
Subgroup structure of symmetric group:S5Symmetric group:S5
Subgroup structure of symmetric group:S6Symmetric group:S6

Somewhat important groups (importance rank 3):

 Specific information aboutFamily version
Subgroup structure of M16M16
Subgroup structure of Mathieu group:M10Mathieu group:M10
Subgroup structure of Mathieu group:M9Mathieu group:M9
Subgroup structure of alternating group:A7Alternating group:A7
Subgroup structure of alternating group:A8Alternating group:A8
Subgroup structure of binary octahedral groupBinary octahedral group
Subgroup structure of central product of D8 and Z4Central product of D8 and Z4
Subgroup structure of dihedral group:D16Dihedral group:D16
Subgroup structure of direct product of D8 and Z2Direct product of D8 and Z2
Subgroup structure of general linear group:GL(2,3)General linear group:GL(2,3)
Subgroup structure of generalized quaternion group:Q16Generalized quaternion group:Q16
Subgroup structure of nontrivial semidirect product of Z4 and Z4Nontrivial semidirect product of Z4 and Z4
Subgroup structure of projective general linear group:PGL(2,9)Projective general linear group:PGL(2,9)
Subgroup structure of projective special linear group:PSL(2,11)Projective special linear group:PSL(2,11)
Subgroup structure of semidihedral group:SD16Semidihedral group:SD16
Subgroup structure of special linear group:SL(2,7)Special linear group:SL(2,7)
Subgroup structure of special linear group:SL(2,9)Special linear group:SL(2,9)
Subgroup structure of symmetric group:S7Symmetric group:S7

Pages in category "Subgroup structure of particular groups"

The following 42 pages are in this category, out of 42 total. The count includes redirect pages that have been included in the category. Redirect pages are shown in italics.

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