# Category:Subgroup structure of particular groups

From Groupprops

Extremely important and basic groups (importance rank 1):

Very important groups (importance rank 2):

Somewhat important groups (importance rank 3):

## 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.

### S

- Subgroup structure of alternating group:A4
- Subgroup structure of alternating group:A5
- Subgroup structure of alternating group:A6
- Subgroup structure of alternating group:A7
- Subgroup structure of alternating group:A8
- Subgroup structure of alternating group:A9
- Subgroup structure of binary octahedral group
- Subgroup structure of central product of D8 and Z4
- Subgroup structure of cyclic group:Z4
- Subgroup structure of cyclic group:Z8
- Subgroup structure of dihedral group:D16
- Subgroup structure of dihedral group:D8
- Subgroup structure of direct product of D8 and Z2
- Subgroup structure of direct product of Z4 and Z2
- Subgroup structure of elementary abelian group:E8
- Subgroup structure of general affine group:GA(2,3)
- Subgroup structure of general linear group:GL(2,3)
- Subgroup structure of generalized quaternion group:Q16
- Subgroup structure of Klein four-group
- Subgroup structure of M16
- Subgroup structure of Mathieu group:M10
- Subgroup structure of Mathieu group:M11
- Subgroup structure of Mathieu group:M12
- Subgroup structure of Mathieu group:M9
- Subgroup structure of nontrivial semidirect product of Z4 and Z4
- Subgroup structure of projective general linear group:PGL(2,9)
- Subgroup structure of projective special linear group:PSL(2,11)
- Subgroup structure of projective special linear group:PSL(2,13)
- Subgroup structure of projective special linear group:PSL(3,2)
- Subgroup structure of quaternion group
- Subgroup structure of semidihedral group:SD16
- Subgroup structure of special linear group:SL(2,3)
- Subgroup structure of special linear group:SL(2,5)
- Subgroup structure of special linear group:SL(2,7)
- Subgroup structure of special linear group:SL(2,9)
- Subgroup structure of special linear group:SL(2,R)
- Subgroup structure of symmetric group:S3
- Subgroup structure of symmetric group:S4
- Subgroup structure of symmetric group:S5
- Subgroup structure of symmetric group:S6
- Subgroup structure of symmetric group:S7
- Subgroup structure of symmetric group:S8