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GroupOrder

GroupOrder[group]
returns the number of elements of group.
MORE INFORMATION
  • For permutation groups, the order is computed by constructing a strong generating set representation of the group.
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Basic Examples   (1)
Order of a group generated by two permutations:
Order of a group generated by two permutations:
In[1]:=
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Out[1]=
Scope   (2)
Order of a group defined by generators:
Order of a named group:
Properties & Relations   (1)
The identity group has size 1, even if we describe it with no generators:
Neat Examples   (1)
Compare orders of randomly generated permutation groups of increasing support with the symmetric group:
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