Nilpotency class and order determine conjugacy class size statistics for groups up to prime-fourth order
This article gives a fact that is true for small groups of prime power order.More specifically, it is true for all groups of order where is at most equal to 4.
See more such facts| See more facts true for prime powers up to the same maximum power 4
Here is the complete list:
|(prime-base logarithm of order)||(nilpotency class)||number of conjugacy classes of size 1||number of conjugacy classes of size||number of conjugacy classes of size|
- Nilpotency class and order determine group up to commutator map-equivalence for up to prime-fourth order
Other similar facts
- Nilpotency class and order determine degrees of irreducible representations for groups up to prime-fourth order