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)
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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
10 = 2*5, a product of 2 primes, and 2 divides (5-1). So there are only two groups.
You can rotate an object by anything upto 360 degrees (excluding one of 0 deg and 360 deg). The order is the number of different values at which the object is the same as the original one.
According to Muktika Upanishad,total number of Upanishads count upto 108.
2 is the only even prime number