10以内的群数是指由不超过10个自然数（包括0）组成的数的集合。这些集合可以是任意组合，但总数不能超过10个。例如：
空集：{}
单个元素的集合：{0}, {1}, {2}, {3}, {4}, {5}, {6}, {7}, {8}, {9}
两个元素的集合：{0, 1}, {0, 2}, {0, 3}, {0, 4}, {0, 5}, {0, 6}, {0, 7}, {0, 8}, {0, 9}, {1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 8}, {1, 9}, {2, 3}, {2, 4}, {2, 5}, {2, 6}, {2, 7}, {2, 8}, {2, 9}, {3, 4}, {3, 5}, {3, 6}, {3, 7}, {3, 8}, {3, 9}, {4, 5}, {4, 6}, {4, 7}, {4, 8}, {4, 9}, {5, 6}, {5, 7}, {5, 8}, {5, 9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}
三个元素的集合：{0, 1, 2}, {0, 1, 3}, {0, 1, 4}, {0, 1, 5}, {0, 1, 6}, {0, 1, 7}, {0, 1, 8}, {0, 1, 9}, {0, 2, 3}, {0, 2, 4}, {0, 2, 5}, {0, 2, 6}, {0, 2, 7}, {0, 2, 8}, {0, 2, 9}, {0, 3, 4}, {0, 3, 5}, {0, 3, 6}, {0, 3, 7}, {0, 3, 8}, {0, 3, 9}, {0, 4, 5}, {0, 4, 6}, {0, 4, 7}, {0, 4, 8}, {0, 4, 9}, {0, 5, 6}, {0, 5, 7}, {0, 5, 8}, {0, 5, 9}, {0, 6, 7}, {0, 6, 8}, {0, 6, 9}, {0, 7, 8}, {0, 7, 9}, {0, 8, 9}, {1, 2, 3}, {1, 2, 4}, {1, 2, 5}, {1, 2, 6}, {1, 2, 7}, {1, 2, 8}, {1, 2, 9}, {1, 3, 4}, {1, 3, 5}, {1, 3, 6}, {1, 3, 7}, {1, 3, 8}, {1, 3, 9}, {1, 4, 5}, {1, 4, 6}, {1, 4, 7}, {1, 4, 8}, {1, 4, 9}, {1, 5, 6}, {1, 5, 7}, {1, 5, 8}, {1, 5, 9}, {1, 6, 7}, {1, 6, 8}, {1, 6, 9}, {1, 7, 8}, {1, 7, 9}, {1, 8, 9}, {2, 3, 4}, {2, 3, 5}, {2, 3, 6}, {2, 3, 7}, {2, 3, 8}, {2, 3, 9}, {2, 4, 5}, {2, 4,