Moufang loops of order 3.2^n

Number of Moufang loops of small orders

Exponent $n$	Value $2^{n}$	Value $3\cdot 2^{n}$	Number of groups of order $3\cdot 2^{n}$	Number of Moufang loops of order $3\cdot 2^{n}$ that are not groups	Total number of Moufang loops of order $3\cdot 2^{n}$	Reason/explanation/list
0	1	3	1	0	1	only cyclic group:Z3, see equivalence of definitions of group of prime order
1	2	6	2	0	2	cyclic group:Z6 and symmetric group:S3; see classification of groups of an order two times a prime or classification of groups of order a product of two distinct primes
2	4	12	5	1	6	See groups of order 12, Moufang loops of order 12
3	8	24	15	5	20	See groups of order 24, Moufang loops of order 24
4	16	48	52	51	103	See groups of order 48, Moufang loops of order 48