Solution.cs

using System.Collections.Generic;

public class Comparer : IEqualityComparer<string>
{
    public bool Equals(string left, string right)
    {
        if (left.Length != right.Length) return false;

        var leftCount = new int[26];
        foreach (var ch in left)
        {
            ++leftCount[ch - 'a'];
        }

        var rightCount = new int[26];
        foreach (var ch in right)
        {
            var index = ch - 'a';
            if (++rightCount[index] > leftCount[index]) return false;
        }

        return true;
    }

    public int GetHashCode(string obj)
    {
        var hashCode = 0;
        for (int i = 0; i < obj.Length; ++i)
        {
            hashCode ^= 1 << (obj[i] - 'a');
        }
        return hashCode;
    }
}

public class Solution {
    public IList<IList<string>> GroupAnagrams(string[] strs) {
        var dict = new Dictionary<string, List<string>>(new Comparer());
        foreach (var str in strs)
        {
            List<string> list;
            if (!dict.TryGetValue(str, out list))
            {
                list = new List<string>();
                dict.Add(str, list);
            }
            list.Add(str);
        }
        foreach (var list in dict.Values)
        {
            list.Sort();
        }
        return new List<IList<string>>(dict.Values);
    }
}