GATE 2022 MA – Question 27

Algebra · Groups · 1 mark · Numerical answer

How many subgroups does a cyclic group of order 12 have?

Show answer and explanation

Correct answer: 6 to 6

Explanation

A cyclic group has exactly one subgroup for each positive divisor of its order. The divisors are 1,2,3,4,6,12, so the count is **6**.

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