Broadly classified

Here is a list of the orders handled by the broad classifications.

• 2 : p group with p = 2
• 3 : p group with p = 3
• 4 : \(p^n\) group with p = 2 and n = 2
• 5 : p group with p = 5
• 6 : pq group with p = 2 and q = 3
• 7 : p group with p = 7
• 8 : \(p^n\) group with p = 2 and n = 3
• 9 : \(p^n\) group with p = 3 and n = 2
• 10 : pq group with p = 2 and q = 5
• 11 : p group with p = 11
• 12 : \(p^2q\) group with p = 2 and q = 3
• 13 : p group with p = 13
• 14 : pq group with p = 2 and q = 7
• 15 : pq group with p = 3 and q = 5
• 16 : \(p^n\) group with p = 2 and n = 4
• 17 : p group with p = 17
• 18 : \(p^2q\) group with p = 3 and q = 2
• 19 : p group with p = 19
• 20 : \(p^2q\) group with p = 2 and q = 5
• 21 : pq group with p = 3 and q = 7
• 22 : pq group with p = 2 and q = 11
• 23 : p group with p = 23
• 24 : \(2^n\cdot3\) group with n = 3
• 25 : \(p^n\) group with p = 5 and n = 2
• 26 : pq group with p = 2 and q = 13
• 27 : \(p^n\) group with p = 3 and n = 3
• 28 : \(p^2q\) group with p = 2 and q = 7
• 29 : p group with p = 29
• 30 : pqr group with p = 2 and q = 3 and r = 5
• 31 : p group with p = 31
• 32 : \(p^n\) group with p = 2 and n = 5
• 33 : pq group with p = 3 and q = 11
• 34 : pq group with p = 2 and q = 17
• 35 : pq group with p = 5 and q = 7
• 36 : \(3^n\cdot4\) group with n = 2
• 37 : p group with p = 37
• 38 : pq group with p = 2 and q = 19
• 39 : pq group with p = 3 and q = 13
• 41 : p group with p = 41
• 42 : pqr group with p = 2 and q = 3 and r = 7
• 43 : p group with p = 43
• 44 : \(p^2q\) group with p = 2 and q = 11
• 45 : \(p^2q\) group with p = 3 and q = 5
• 46 : pq group with p = 2 and q = 23
• 47 : p group with p = 47
• 48 : \(2^n\cdot3\) group with n = 4
• 49 : \(p^n\) group with p = 7 and n = 2
• 50 : \(p^2q\) group with p = 5 and q = 2
• 51 : pq group with p = 3 and q = 17
• 52 : \(p^2q\) group with p = 2 and q = 13
• 53 : p group with p = 53
• 54 : \(mp^n\) group with m = 2 and p = 3 and n = 3
• 55 : pq group with p = 5 and q = 11
• 57 : pq group with p = 3 and q = 19
• 58 : pq group with p = 2 and q = 29
• 59 : p group with p = 59
• 61 : p group with p = 61
• 62 : pq group with p = 2 and q = 31
• 63 : \(p^2q\) group with p = 3 and q = 7
• 64 : \(p^n\) group with p = 2 and n = 6
• 65 : pq group with p = 5 and q = 13
• 66 : pqr group with p = 2 and q = 3 and r = 11
• 67 : p group with p = 67
• 68 : \(p^2q\) group with p = 2 and q = 17
• 69 : pq group with p = 3 and q = 23
• 70 : pqr group with p = 2 and q = 5 and r = 7
• 71 : p group with p = 71
• 73 : p group with p = 73
• 74 : pq group with p = 2 and q = 37
• 75 : \(p^2q\) group with p = 5 and q = 3
• 76 : \(p^2q\) group with p = 2 and q = 19
• 77 : pq group with p = 7 and q = 11
• 78 : pqr group with p = 2 and q = 3 and r = 13
• 79 : p group with p = 79
• 81 : \(p^n\) group with p = 3 and n = 4
• 82 : pq group with p = 2 and q = 41
• 83 : p group with p = 83
• 85 : pq group with p = 5 and q = 17
• 86 : pq group with p = 2 and q = 43
• 87 : pq group with p = 3 and q = 29
• 88 : \(mp^n\) group with m = 8 and p = 11 and n = 1
• 89 : p group with p = 89
• 91 : pq group with p = 7 and q = 13
• 92 : \(p^2q\) group with p = 2 and q = 23
• 93 : pq group with p = 3 and q = 31
• 94 : pq group with p = 2 and q = 47
• 95 : pq group with p = 5 and q = 19
• 96 : \(2^n\cdot3\) group with n = 5
• 97 : p group with p = 97
• 98 : \(p^2q\) group with p = 7 and q = 2
• 99 : \(p^2q\) group with p = 3 and q = 11
• 100 : \(mp^n\) group with m = 4 and p = 5 and n = 2
• 101 : p group with p = 101
• 102 : pqr group with p = 2 and q = 3 and r = 17
• 103 : p group with p = 103
• 104 : \(mp^n\) group with m = 8 and p = 13 and n = 1
• 105 : pqr group with p = 3 and q = 5 and r = 7
• 106 : pq group with p = 2 and q = 53
• 107 : p group with p = 107
• 108 : \(3^n\cdot4\) group with n = 3
• 109 : p group with p = 109
• 110 : pqr group with p = 2 and q = 5 and r = 11
• 111 : pq group with p = 3 and q = 37
• 113 : p group with p = 113
• 114 : pqr group with p = 2 and q = 3 and r = 19
• 115 : pq group with p = 5 and q = 23
• 116 : \(p^2q\) group with p = 2 and q = 29
• 117 : \(p^2q\) group with p = 3 and q = 13
• 118 : pq group with p = 2 and q = 59
• 119 : pq group with p = 7 and q = 17
• 121 : \(p^n\) group with p = 11 and n = 2
• 122 : pq group with p = 2 and q = 61
• 123 : pq group with p = 3 and q = 41
• 124 : \(p^2q\) group with p = 2 and q = 31
• 125 : \(p^n\) group with p = 5 and n = 3
• 127 : p group with p = 127
• 128 : \(p^n\) group with p = 2 and n = 7
• 129 : pq group with p = 3 and q = 43
• 130 : pqr group with p = 2 and q = 5 and r = 13
• 131 : p group with p = 131
• 133 : pq group with p = 7 and q = 19
• 134 : pq group with p = 2 and q = 67
• 136 : \(mp^n\) group with m = 8 and p = 17 and n = 1
• 137 : p group with p = 137
• 138 : pqr group with p = 2 and q = 3 and r = 23
• 139 : p group with p = 139
• 141 : pq group with p = 3 and q = 47
• 142 : pq group with p = 2 and q = 71
• 143 : pq group with p = 11 and q = 13
• 145 : pq group with p = 5 and q = 29
• 146 : pq group with p = 2 and q = 73
• 147 : \(p^2q\) group with p = 7 and q = 3
• 148 : \(p^2q\) group with p = 2 and q = 37
• 149 : p group with p = 149
• 151 : p group with p = 151
• 152 : \(mp^n\) group with m = 8 and p = 19 and n = 1
• 153 : \(p^2q\) group with p = 3 and q = 17
• 154 : pqr group with p = 2 and q = 7 and r = 11
• 155 : pq group with p = 5 and q = 31
• 156 : \(mp^n\) group with m = 12 and p = 13 and n = 1
• 157 : p group with p = 157
• 158 : pq group with p = 2 and q = 79
• 159 : pq group with p = 3 and q = 53
• 161 : pq group with p = 7 and q = 23
• 162 : \(mp^n\) group with m = 2 and p = 3 and n = 4
• 163 : p group with p = 163
• 164 : \(p^2q\) group with p = 2 and q = 41
• 165 : pqr group with p = 3 and q = 5 and r = 11
• 166 : pq group with p = 2 and q = 83
• 167 : p group with p = 167
• 169 : \(p^n\) group with p = 13 and n = 2
• 170 : pqr group with p = 2 and q = 5 and r = 17
• 171 : \(p^2q\) group with p = 3 and q = 19
• 172 : \(p^2q\) group with p = 2 and q = 43
• 173 : p group with p = 173
• 174 : pqr group with p = 2 and q = 3 and r = 29
• 175 : \(p^2q\) group with p = 5 and q = 7
• 177 : pq group with p = 3 and q = 59
• 178 : pq group with p = 2 and q = 89
• 179 : p group with p = 179
• 181 : p group with p = 181
• 182 : pqr group with p = 2 and q = 7 and r = 13
• 183 : pq group with p = 3 and q = 61
• 184 : \(mp^n\) group with m = 8 and p = 23 and n = 1
• 185 : pq group with p = 5 and q = 37
• 186 : pqr group with p = 2 and q = 3 and r = 31
• 187 : pq group with p = 11 and q = 17
• 188 : \(p^2q\) group with p = 2 and q = 47
• 190 : pqr group with p = 2 and q = 5 and r = 19
• 191 : p group with p = 191
• 192 : \(2^n\cdot3\) group with n = 6
• 193 : p group with p = 193
• 194 : pq group with p = 2 and q = 97
• 195 : pqr group with p = 3 and q = 5 and r = 13
• 196 : \(mp^n\) group with m = 4 and p = 7 and n = 2
• 197 : p group with p = 197
• 199 : p group with p = 199