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* 5.6.7/4.11/3.13/4.17/11.19/8.23/11.29/7.31/7 subgroup
* 5.6.7/4.11/3.13/4.17/11.19/8.23/11.29/7.31/7 subgroup


==== ''N''th-basis subgroups ====
==== ''N''th-prime subgroups ====
These are some [[Half-prime subgroup|''n''th-basis subgroups]]{{idiosyncratic}} which 26ed5 approximates well:
These are some [[Half-prime subgroup|''n''th-prime subgroups]]{{idiosyncratic}} which 26ed5 approximates well:


{| class="wikitable"
{| class="wikitable"
|+ ''N''th-basis subgroups
|+ ''N''th-prime subgroups
!Family
!Family
!Most distinctive related families
!Most distinctive related families
!Subgroup basis elements
!Subgroup basis elements
|-
!11th-prime
|
|14/11.15/11.16/11.17/11.18/11.23/11.28/11.55/11.66/11
|-
!14th-prime
|7th- & half-prime
|9/7.10/2.12/2.20/7.23/14.24/7.29/7.31/7.33/7
|-
|-
!16th-prime
!16th-prime
|8th-, quarter- & half-prime
|8th-, quarter- & half-prime
|7/4.9/4.10/2.12/2.13/4.17/16.19/8
|7/4.13/4.17/16.19/8
|-
|-
!18th-prime
!18th-prime
|9th- & 6th-prime
|9th- & 6th-prime
|10/2.12/2.11/3.13/9.19/9.23/18.25/6.31/9.35/9
|11/3.13/9.19/9.23/18.31/9
|-
|-
!30th-prime
!30th-prime
|15th- & 10th-prime
|15th- & 10th-prime
|10/2.11/3.12/2.16/15.17/15.21/10.22/5.23/15.25/6.28/15.38/15.41/30.34/15.47/10
|11/3.17/15.23/15.41/30.47/10
|-
|-
!60th-prime
!60th-prime
|15th-, 10th- & quarter-prime
|15th-, 10th- & quarter-prime
|7/4.9/4.10/2.11/3.12/2.13/4.16/15.17/15.21/10.22/5.23/15.25/6.28/15.29/20.38/15.41/30.43/15.47/10.49/30.61/20.69/20
|7/4.11/3.13/4.17/15.23/15.29/20.41/30.43/15.47/10.61/20
|-
|-
!68th-prime
!68th-prime
|17th- & quarter-prime
|17th- & quarter-prime
|7/4.9/4.10/2.12/2.13/4.18/17.28/17.41/34.43/17.63/34.67/34.75/17.80/17
|7/4.13/4.41/34.43/17.67/34
|-
|-
!88th-prime
!88th-prime
|11th- & eighth-prime
|11th- & eighth-prime
|7/4.9/4.10/2.12/2.13/4.14/11.15/11.16/11.17/11.18/11.19/8.23/11.25/22.28/11.47/44.53/44.63/22.67/22
|7/4.13/4.17/11.19/8.23/11.47/44.53/44.67/22
|-
|-
!90th-prime
!90th-prime
|15th-, 10th-, 9th- & 6th-prime
|15th-, 10th-, 9th- & 6th-prime
|10/2.11/3.12/2.13/9.16/15.17/15.19/9.21/10.22/5.23/15.23/18.25/6.28/15.31/9.35/9.38/15.41/30.43/15.47/19.49/30
|11/3.13/9.17/15.19/9.23/15.23/18.31/9.41/30.43/15.47/19.49/30
|-
|-
!112th-prime
!112th-prime
|16th- & 14th-prime
|16th- & 14th-prime
|7/4.9/4.9/7.10/2.12/2.13/4.17/16.19/8.20/7.23/14.24/7.29/7.31/7.33/7
|7/4.13/4.17/16.19/8.23/14.29/7.31/7.33/7
|-
!130th-prime
|13th- & 10th-prime
|6/5.10/2.12/2.21/10.22/5.24/13.27/10.29/13.35/13.39/10.47/10.54/13
|}
|}


==== ''N''th-basis subgroups ====
These are some [[Half-prime subgroup|''n''th-basis subgroups]]{{idiosyncratic}} which 26ed5 approximates well:


{| class="wikitable"
{| class="wikitable"
|+ ''N''th-prime subgroups
|+ ''N''th-basis subgroups
!Family
!Family
!Most distinctive related families
!Most distinctive related families
!Subgroup basis elements
!Subgroup basis elements
|-
!11th-prime
|
|14/11.15/11.16/11.17/11.18/11.23/11.28/11.55/11.66/11
|-
!14th-prime
|7th- & half-prime
|9/7.10/2.12/2.20/7.23/14.24/7.29/7.31/7.33/7
|-
|-
!16th-prime
!16th-prime
|8th-, quarter- & half-prime
|8th-, quarter- & half-prime
|7/4.13/4.17/16.19/8
|7/4.9/4.10/2.12/2.13/4.17/16.19/8
|-
|-
!18th-prime
!18th-prime
|9th- & 6th-prime
|9th- & 6th-prime
|11/3.13/9.19/9.23/18.31/9
|10/2.12/2.11/3.13/9.19/9.23/18.25/6.31/9.35/9
|-
|-
!30th-prime
!30th-prime
|15th- & 10th-prime
|15th- & 10th-prime
|11/3.17/15.23/15.41/30.47/10
|10/2.11/3.12/2.16/15.17/15.21/10.22/5.23/15.25/6.28/15.38/15.41/30.34/15.47/10
|-
|-
!60th-prime
!60th-prime
|15th-, 10th- & quarter-prime
|15th-, 10th- & quarter-prime
|7/4.11/3.13/4.17/15.23/15.29/20.41/30.43/15.47/10.61/20
|7/4.9/4.10/2.11/3.12/2.13/4.16/15.17/15.21/10.22/5.23/15.25/6.28/15.29/20.38/15.41/30.43/15.47/10.49/30.61/20.69/20
|-
|-
!68th-prime
!68th-prime
|17th- & quarter-prime
|17th- & quarter-prime
|7/4.13/4.41/34.43/17.67/34
|7/4.9/4.10/2.12/2.13/4.18/17.28/17.41/34.43/17.63/34.67/34.75/17.80/17
|-
|-
!88th-prime
!88th-prime
|11th- & eighth-prime
|11th- & eighth-prime
|7/4.13/4.17/11.19/8.23/11.47/44.53/44.67/22
|7/4.9/4.10/2.12/2.13/4.14/11.15/11.16/11.17/11.18/11.19/8.23/11.25/22.28/11.47/44.53/44.63/22.67/22
|-
|-
!90th-prime
!90th-prime
|15th-, 10th-, 9th- & 6th-prime
|15th-, 10th-, 9th- & 6th-prime
|11/3.13/9.17/15.19/9.23/15.23/18.31/9.41/30.43/15.47/19.49/30
|10/2.11/3.12/2.13/9.16/15.17/15.19/9.21/10.22/5.23/15.23/18.25/6.28/15.31/9.35/9.38/15.41/30.43/15.47/19.49/30
|-
|-
!112th-prime
!112th-prime
|16th- & 14th-prime
|16th- & 14th-prime
|7/4.13/4.17/16.19/8.23/14.29/7.31/7.33/7
|7/4.9/4.9/7.10/2.12/2.13/4.17/16.19/8.20/7.23/14.24/7.29/7.31/7.33/7
|-
!130th-prime
|13th- & 10th-prime
|6/5.10/2.12/2.21/10.22/5.24/13.27/10.29/13.35/13.39/10.47/10.54/13
|}
|}


Note that 5/1 = 10/2 = 55/11, & 6/1 = 12/2 = 66/11.
Note that 5/1 = 10/2 = 55/11, & 6/1 = 12/2 = 66/11.
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