| Bingo | aims to be faster than selection sort if there are duplicates | n + m2 | nm | |
| Bitonic | method based on building a sorting network | nlog2n | nlog2n | nlog2n |
| Bubble | bad for sorted or reversed input | n2; n2 | n; 1 | 1 |
| Cocktail | little performance improvement over bubble sort | n2 | n | 1 |
| Comb | speeds up when data is nearly sorted | n2 | nlogn | 1 |
| Cycle | uses minimum amount of writes, good for memory with limited TBW | n2 | n2 | 1 |
| Gnome | simple and slow, works with one item at a time | n2 | n | 1 |
| Heap | independent of data distribution | nlogn | nlogn | 1 |
| Weak Heap | independent of data distribution, decreased number of comparisons | nlogn | nlogn | 1 |
| N-Heap | should be faster than default heap. N = 3 | nlogn | nlogn | 1 |
| Bottom-up Heap | upgraded version of heapsort with decreased number of comparisons | nlogn | nlogn | 1 |
| Insertion | simple, but less effective than quicksort, heapsort or merge sort | n2; n2 | n; 1 | 1 |
| Merge | independent of data distribution | nlogn | nlogn | n |
| Odd-even | presented to be effective on processors with local interconnections | n2 | n | 1 |
| Odd-even Batcher | more efficient version of odd-even sort | log2n | log2n | logn2 |
| Pancake | swaps data a lot and not so effective in practice | n3; 2n - 3 | n2 | n |
| Quick | bad for sorted or reversed input | n2 | nlogn | logn |
| Quick dual | enchanced version of quicksort | n2 | 2nlnn | logn |
| Ksort | quicksort variant, faster than heap at less than 7 million elements | n2 | nlog2n | logn |
| Selection | the least number of swaps among all the algorithms | n2; n | n2; 1 | 1 |
| Double selection | modified selection sort with more workload, but better efficiency | n2; n | n2; 1 | higher than Selection |
| Shellsort | it is optimization of insertion sort | n3/2 or nlogn2 | nlogn | 1 |
| Slow | it's slow, who would ever need it? | | | |
| Smooth | variant of heapsort, good for nearly sorted data | nlogn | n | 1 |
| Stooge | it's a bit faster than slow sort | n2.7095 | | n |