User:Lériendil/Third-superparticulars and semiparticulars by prime subgroup: Difference between revisions
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== 2- and 3-prime subgroups (2.p and 2.3.p) == | == 2- and 3-prime subgroups (2.p and 2.3.p) == | ||
Note that the following | Note that the following lists are ''complete'' and the insertion of higher primes will add no new inclusions to them. | ||
=== 2-prime subgroups (2.p) === | |||
{| class="wikitable center-1 center-2 center-5 center-6" | {| class="wikitable center-1 center-2 center-5 center-6" | ||
|- | |- | ||
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| | | | ||
| | | | ||
|- | |||
| G5 | |||
| '''2.7''' | |||
| [[8/7]] | |||
| {{monzo| 3 -1 }} | |||
| | |||
| | |||
| | |||
| | |||
|} | |||
=== 3-prime subgroups (2.3.p) === | |||
{| class="wikitable center-1 center-2 center-5 center-6" | |||
|- | |||
! rowspan="2" | Third-particular | |||
! rowspan="2" | Subgroup | |||
! colspan="2" | Comma | |||
! rowspan="2" | Semiparticular | |||
! rowspan="2" | Subgroup | |||
! colspan="2" | Comma | |||
|- | |||
! Ratio | |||
! Smonzo | |||
! Ratio | |||
! Smonzo | |||
|- | |- | ||
| G7 = S4 | | G7 = S4 | ||
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| {{monzo| -4 4 -1 }} | | {{monzo| -4 4 -1 }} | ||
|- | |- | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| R5 = T7 | | R5 = T7 | ||
| [[2.3.7 subgroup|2.3.7]] | | [[2.3.7 subgroup|2.3.7]] |