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| {{particular group}}
| | #redirect [[Direct product of S3 and Z6]] |
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| ==Definition==
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| This [[group]] is a [[direct product]] of the form <math>(Z_6 \times S_3)</math>. Explicitly, it is given by:
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| <math>\langle a,r,s \mid a^6 = r^3 = s^2 = e, ar = ra, as = sa, srs^{-1} = r^{-1} \rangle</math>
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| where <math>e</math> denotes the identity element.
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| ==Arithmetic functions==
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| {{compare and contrast arithmetic functions|order = 36}}
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| {| class="sortable" border="1"
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| ! Function !! Value !! Similar groups !! Explanation for function value
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| | {{arithmetic function value order|36}} ||
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| | {{arithmetic function value given order|exponent of a group|6|36}} ||
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| |}
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| ==GAP implementation==
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| {{GAP ID|36|12}}
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