(self)
return m
Return the order of the group: the number of permutations that
        can be generated from elements of the group.

        The number of permutations comprising the group is given by
        len(group); the length of each permutation in the group is
        given by group.size.

        Examples
        ========

        >>> from sympy.combinatorics.permutations import Permutation
        >>> from sympy.combinatorics.perm_groups import PermutationGroup

        >>> a = Permutation([1, 0, 2])
        >>> G = PermutationGroup([a])
        >>> G.degree
        3
        >>> len(G)
        1
        >>> G.order()
        2
        >>> list(G.generate())
        [Permutation(2), Permutation(2)(0, 1)]

        >>> a = Permutation([0, 2, 1])
        >>> b = Permutation([1, 0, 2])
        >>> G = PermutationGroup([a, b])
        >>> G.order()
        6

        See Also
        ========

        degree
Return the order of the group: the number of permutations that
        can be generated from elements of the group.
Return the order of the group : the number of permutations that can be generated from elements of the group .
def order(self):
        """Return the order of the group: the number of permutations that
        can be generated from elements of the group.

        The number of permutations comprising the group is given by
        len(group); the length of each permutation in the group is
        given by group.size.

        Examples
        ========

        >>> from sympy.combinatorics.permutations import Permutation
        >>> from sympy.combinatorics.perm_groups import PermutationGroup

        >>> a = Permutation([1, 0, 2])
        >>> G = PermutationGroup([a])
        >>> G.degree
        3
        >>> len(G)
        1
        >>> G.order()
        2
        >>> list(G.generate())
        [Permutation(2), Permutation(2)(0, 1)]

        >>> a = Permutation([0, 2, 1])
        >>> b = Permutation([1, 0, 2])
        >>> G = PermutationGroup([a, b])
        >>> G.order()
        6

        See Also
        ========

        degree
        """
        if self._order != None:
            return self._order
        if self._is_sym:
            n = self._degree
            self._order = factorial(n)
            return self._order
        if self._is_alt:
            n = self._degree
            self._order = factorial(n)/2
            return self._order

        basic_transversals = self.basic_transversals
        m = 1
        for x in basic_transversals:
            m *= len(x)
        self._order = m
        return m
def order ( self ) : if self . _order != None : return self . _order if self . _is_sym : n = self . _degree self . _order = factorial ( n ) return self . _order if self . _is_alt : n = self . _degree self . _order = factorial ( n ) / 2 return self . _order basic_transversals = self . basic_transversals m = 1 for x in basic_transversals : m *= len ( x ) self . _order = m return m