#Q152 If G is an infinite Group, then the no. of finite cyclic subgroup is

#Q153 Let G be any group such that o (G) = 15 then G is always

#Q154 Let G be a group with exactly eight elements of order 10. How many cyclic sub groups of order 10 does G have?

#Q155 Let G be any group of order 15 then G,

#Q156 Let S4 be the group of permutation over 4 elements. Then number of subgroups of order 6 are

#Q157 No. of elements in S9 commuting with the element σ=(135 79) is

#Q158 Let S_8 be the group of permutation. The no. of elements having cycle Decomposition as (12)(45)(3678) is

#Q159 Let S_n be permutation group of n symbols. Then Sn can be generated by

#Q160 No. of subgroups of order 6 in A(4 ) is

#Q161 Let H<S_n such that O(H)=31 then

#Q162 Let S4 be the group of all permutations on 4 symbols, with identity element “e”. Then the no. of element S in S_4 that satisfy equation x^2=x^(-1) is

#Q163 No. of elements in S4 which does not commute with elements (12) (34).

#Q164 Let S4 be group of permutation of 4 distinct symbols, then the direct sum Z4×S4 has an element of order.

#Q165 The No. of elements S4 which are not their own Inverse equals to

#Q166 What is the maximum order of an element in A10

#Q167 In S4 No. of subgroups of order 4

#Q168 Number of abelian subgroup of S5 of order 6 is