State Lagrange’s theorem. What are the possible orders of subgroups of a group of order 12?
Lagrange’s theorem states that for a finite group \( G \) with order \( |G| \) and a subgroup \( H \) of \( G \), ______ ___ __________ _______ _________.
_______ _______ ____ ______ __________ ___ _________.
__________ ________ _____ ___ ______ _______ __________ _______.
_________ ___ __________ ______ _______.
_____ ________ ______ __________ _____.
________ _______ ______ _______ __________ ________ ________ ___.
_____ ___ ___ _______ ____ _______ _______ ________ ____.
__________ _______ ___ ____ ______ ___ _____ ___ _______ _____.
_________ ___ ______ __________ ___.
_________ ________ ________ ______ _________.
________ ____ __________ _______ ____ _______ _____ _________ ____ _________ ________ _________.
________ ________ ______ _______ _________ ______.
______ _________ _______ ____ _________ _________ ______ ______.
______ __________ _______ __________ ________ ____ _______.
_________ _______ _________ ____ ________ __________ _______ ____ _____.
__________ __________ ________ ___ __________ _______ ________ _____ __________ _________ _________ __________.
_____ _________ ____ ___ _____ _________ ___ ______ _________.
__________ __________ _________.
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