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There are five groups of order 8: three of them are Abelian and the other two are not.
These are
1. C8, the group generated by a where a8 = 1
2. C4xC2, the group generated by a and b where a4 = b2 = 1
3. C2xC2xC2, the group generated by a, b and c where a2 = b2 = c2= 1
4. the dihedral group
5. the quaternion group
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What is the number of groups of order 8 upto isomorphisms?
There are 5 groups of order 8 up to isomorphism. 3 abelian ones (C8, C4xC2, C2xC2xC2) and 2 non-abelian ones (dihedral group D8 and quaternion group Q)
Which two numbers add upto 320 and their product is 24000?
The numbers are 120 and 200
How to determine the number of group of order 10 upto isomorphism?
10 = 2*5, a product of 2 primes, and 2 divides (5-1). So there are only two groups.
What are all of the prime numbers up to 60?
Prime numbers are those numbers which are only divisible by itself Likewise, 1,3,5,7,11,13,17,19,23,,29,31,37,41,43,47,51,53,57,59. These are the only prime numbers upto 60.
All even prime numbers upto 100?
2 is the only even prime number
