| 1 | C3×#66158 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×#65867 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×C5×#416 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#65528 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#65405 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×C8×C22⋊D5 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C3×#65285 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C3×#65103 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | C3×#65102 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C3×#65082 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C3×#65081 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C3×#65072 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | C3×#65061 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C3×#65048 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C3×#65047 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10610580 | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 17 | C2×C3×C5×#41 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×C3×#711 | C22 | 1 | 1 | yes | characteristic |
| 19 | C22×C3×C5×C8 | C22 | 1 | 1 | yes | characteristic |
| 20 | C3×C5×#117 | C22 | 1 | 1 | yes | characteristic |
| 21 | C3×#4092 | C22 | 1 | 1 | yes | characteristic |
| 22 | C3×#4090 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×C3×#689 | C22 | 1 | 1 | yes | characteristic |
| 24 | C3×#4085 | — | 2 | 1 | no | — |
| 25 | C3×#4081 | — | 2 | 1 | no | — |
| 26 | C3×D4×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×C3×#687 | C22 | 1 | 1 | yes | characteristic |
| 28 | C3×#4075 | — | 2 | 1 | no | — |
| 29 | C3×C4×C22⋊D5 | C22 | 1 | 1 | yes | characteristic |
| 30 | C3×#4070 | C22 | 1 | 1 | yes | characteristic |
| 31 | C3×#4070 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×C3×#683 | — | 2 | 1 | no | — |
| 33 | C2×C3×Dic20 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×C3×C8×D5 | C22 | 1 | 1 | yes | characteristic |
| 35 | C3×#4043 | C22 | 1 | 1 | yes | characteristic |
| 36 | C3×#4038 | C22 | 1 | 1 | yes | characteristic |
| 37 | C3×#4034 | C22 | 1 | 1 | yes | characteristic |
| 38 | C3×#4033 | C22 | 1 | 1 | yes | characteristic |
| 39 | C3×#4031 | — | 2 | 1 | no | — |
| 40 | C3×#4025 | — | 2 | 1 | no | — |
| 41 | C3×#4022 | — | 2 | 1 | no | — |
| 42 | C3×C4×Dic10 | — | 2 | 1 | no | — |
| 43 | C3×C5×#103 | C22 | 1 | 1 | yes | characteristic |
| 44 | C3×C5×#103 | C22 | 1 | 1 | yes | characteristic |
| 45 | C3×C5×#102 | C22 | 1 | 1 | yes | characteristic |
| 46 | C3×C5×#102 | C22 | 1 | 1 | yes | characteristic |
| 47 | C3×#3967 | C22 | 1 | 1 | yes | characteristic |
| 48 | C3×#3964 | C22 | 1 | 1 | yes | characteristic |
| 49 | C3×C22⋊#168 | C22 | 1 | 1 | yes | characteristic |
| 50 | C3×#3952 | C22 | 1 | 1 | yes | characteristic |
| 51 | C3×#3950 | C22 | 1 | 1 | yes | characteristic |
| 52 | C3×#3948 | C22 | 1 | 1 | yes | characteristic |
| 53 | C3×#3948 | C22 | 1 | 1 | yes | characteristic |
| 54 | C3×#3946 | C22 | 1 | 1 | yes | characteristic |
| 55 | C3×C8×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 56 | C3×#3942 | C22 | 1 | 1 | yes | characteristic |
| 57 | C3×#3942 | C22 | 1 | 1 | yes | characteristic |
| 58 | C3×#3940 | C22 | 1 | 1 | yes | characteristic |
| 59 | C3×#3939 | C22 | 1 | 1 | yes | characteristic |
| 60 | C3×#3302 | — | 5 | 1 | no | maximal, Hall |
| 61 | #66158 | C2×C3 | 1 | 1 | yes | characteristic |
| 62 | #65867 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 63 | C5×#416 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 64 | #65528 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 65 | #65405 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 66 | C8×C22⋊D5 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 67 | #65285 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 68 | #65103 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 69 | #65102 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 70 | #65082 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 71 | #65081 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 72 | #65072 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 73 | #65061 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 74 | #65048 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 75 | #65047 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 76 | C3×C5×#41 | — | 2 | 2 | no | — |
| 77 | C3×C5×#41 | — | 4 | 1 | no | — |
| 78 | C2×C3×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 79 | C2×C3×C5×D4 | — | 2 | 1 | no | — |
| 80 | C2×C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 81 | C22×C3×C4×C5 | — | 2 | 1 | no | — |
| 82 | C22×C3×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 83 | C2×C3×C22⋊D5 | — | 2 | 1 | no | — |
| 84 | C2×C3×C22⋊D5 | D4 | 1 | 1 | yes | characteristic |
| 85 | C22×C3×Dic5 | — | 2 | 1 | no | — |
| 86 | C22×C3×Dic5 | — | 2 | 1 | no | — |
| 87 | C3×#711 | — | 2 | 2 | no | — |
| 88 | C3×#711 | — | 4 | 1 | no | — |
| 89 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×C3×Dic10 | — | 2 | 1 | no | — |
| 91 | C2×C3×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 92 | C2×C3×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 93 | C2×C3×C5×C8 | — | 4 | 1 | no | — |
| 94 | C2×C3×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 95 | C2×C3×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 96 | C3×C5×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 97 | C3×C5×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 98 | C3×C5×C22⋊C4 | — | 2 | 1 | no | — |
| 99 | C3×C42×C5 | — | 2 | 1 | no | — |
| 100 | C3×C22⋊Dic5 | — | 2 | 1 | no | — |
| 101 | C3×C22⋊Dic5 | — | 2 | 1 | no | — |
| 102 | C3×C22⋊Dic5 | — | 2 | 1 | no | — |
| 103 | C3×C22⋊Dic5 | D4 | 1 | 1 | yes | characteristic |
| 104 | C3×#689 | — | 4 | 1 | no | — |
| 105 | C3×#687 | — | 2 | 2 | no | — |
| 106 | C3×#685 | — | 2 | 1 | no | — |
| 107 | C3×#685 | — | 2 | 1 | no | — |
| 108 | C3×#685 | — | 2 | 1 | no | — |
| 109 | C3×#685 | D4 | 1 | 1 | yes | characteristic |
| 110 | C3×C4⋊Dic5 | — | 2 | 1 | no | — |
| 111 | C3×C4⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 112 | C3×C4⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 113 | C3×#683 | — | 2 | 1 | no | — |
| 114 | C3×#683 | — | 2 | 1 | no | — |
| 115 | C3×#683 | — | 2 | 1 | no | — |
| 116 | C3×#683 | — | 2 | 1 | no | — |
| 117 | C3×#683 | — | 2 | 1 | no | — |
| 118 | C3×#683 | — | 2 | 1 | no | — |
| 119 | C3×#683 | — | 2 | 1 | no | — |
| 120 | C3×#683 | D4 | 1 | 1 | yes | characteristic |
| 121 | C3×C4×Dic5 | — | 2 | 1 | no | — |
| 122 | C3×C4×Dic5 | — | 2 | 1 | no | — |
| 123 | C3×C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 124 | C2×C3×#168 | C23 | 1 | 1 | yes | characteristic |
| 125 | C2×C3×#168 | C23 | 1 | 1 | yes | characteristic |
| 126 | C3×Dic20 | — | 4 | 1 | no | — |
| 127 | C3×C8×D5 | — | 4 | 1 | no | — |
| 128 | C3×#556 | — | 5 | 1 | no | — |
| 129 | C3×#547 | — | 5 | 1 | no | — |
| 130 | C3×#487 | — | 5 | 1 | no | — |
| 131 | C3×#485 | — | 5 | 1 | no | — |
| 132 | C3×#485 | — | 5 | 1 | no | — |
| 133 | C3×#474 | — | 5 | 1 | no | — |
| 134 | C3×#467 | — | 5 | 1 | no | — |
| 135 | C3×#467 | — | 5 | 1 | no | — |
| 136 | C3×#462 | — | 5 | 1 | no | — |
| 137 | C3×#452 | — | 5 | 1 | no | — |
| 138 | C3×#452 | — | 5 | 1 | no | — |
| 139 | C3×C4×SD16 | — | 5 | 1 | no | — |
| 140 | C3×C8×D4 | — | 5 | 1 | no | — |
| 141 | C3×#416 | — | 5 | 1 | no | — |
| 142 | C3×#416 | D5 | 1 | 1 | yes | characteristic, complemented |
| 143 | C2×C5×#41 | C22×C3 | 1 | 1 | yes | characteristic |
| 144 | C2×#711 | C22×C3 | 1 | 1 | yes | characteristic |
| 145 | C22×C5×C8 | C22×C3 | 1 | 1 | yes | characteristic |
| 146 | C5×#117 | C22×C3 | 1 | 1 | yes | characteristic |
| 147 | #4092 | C22×C3 | 1 | 1 | yes | characteristic |
| 148 | #4090 | C22×C3 | 1 | 1 | yes | characteristic |
| 149 | C2×#689 | C22×C3 | 1 | 1 | yes | characteristic |
| 150 | #4085 | — | 2 | 1 | no | — |
| 151 | #4081 | — | 2 | 1 | no | — |
| 152 | D4×Dic5 | C22×C3 | 1 | 1 | yes | characteristic |
| 153 | C2×#687 | C22×C3 | 1 | 1 | yes | characteristic |
| 154 | #4075 | — | 2 | 1 | no | — |
| 155 | C4×C22⋊D5 | C22×C3 | 1 | 1 | yes | characteristic |
| 156 | #4070 | C22×C3 | 1 | 1 | yes | characteristic |
| 157 | #4070 | C22×C3 | 1 | 1 | yes | characteristic |
| 158 | C2×#683 | — | 2 | 1 | no | — |
| 159 | C2×Dic20 | C22×C3 | 1 | 1 | yes | characteristic |
| 160 | C2×C8×D5 | C22×C3 | 1 | 1 | yes | characteristic |
| 161 | #4043 | C22×C3 | 1 | 1 | yes | characteristic |
| 162 | #4038 | C22×C3 | 1 | 1 | yes | characteristic |
| 163 | #4034 | C22×C3 | 1 | 1 | yes | characteristic |
| 164 | #4033 | C22×C3 | 1 | 1 | yes | characteristic |
| 165 | #4031 | — | 2 | 1 | no | — |
| 166 | #4025 | — | 2 | 1 | no | — |
| 167 | #4022 | — | 2 | 1 | no | — |
| 168 | C4×Dic10 | — | 2 | 1 | no | — |
| 169 | C5×#103 | C22×C3 | 1 | 1 | yes | characteristic |
| 170 | C5×#103 | C22×C3 | 1 | 1 | yes | characteristic |
| 171 | C5×#102 | C22×C3 | 1 | 1 | yes | characteristic |
| 172 | C5×#102 | C22×C3 | 1 | 1 | yes | characteristic |
| 173 | #3967 | C22×C3 | 1 | 1 | yes | characteristic |
| 174 | #3964 | C22×C3 | 1 | 1 | yes | characteristic |
| 175 | C22⋊#168 | C22×C3 | 1 | 1 | yes | characteristic |
| 176 | #3952 | C22×C3 | 1 | 1 | yes | characteristic |
| 177 | #3950 | C22×C3 | 1 | 1 | yes | characteristic |
| 178 | #3948 | C22×C3 | 1 | 1 | yes | characteristic |
| 179 | #3948 | C22×C3 | 1 | 1 | yes | characteristic |
| 180 | #3946 | C22×C3 | 1 | 1 | yes | characteristic |
| 181 | C8×Dic5 | C22×C3 | 1 | 1 | yes | characteristic |
| 182 | #3942 | C22×C3 | 1 | 1 | yes | characteristic |
| 183 | #3942 | C22×C3 | 1 | 1 | yes | characteristic |
| 184 | #3940 | C22×C3 | 1 | 1 | yes | characteristic |
| 185 | #3939 | C22×C3 | 1 | 1 | yes | characteristic |
| 186 | #3302 | — | 5 | 1 | no | Sylow |
| 187 | C23×C3×C5 | — | 2 | 1 | no | — |
| 188 | C23×C3×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 189 | C22×C3×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | C3×C5×Q8 | — | 2 | 1 | no | — |
| 191 | C3×C5×Q8 | — | 2 | 1 | no | — |
| 192 | C3×C5×D4 | — | 2 | 1 | no | — |
| 193 | C3×C5×D4 | — | 4 | 2 | no | — |
| 194 | C3×C5×D4 | #41 | 1 | 2 | yes | — |
| 195 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 196 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 197 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 198 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 199 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 200 | C2×C3×C4×C5 | — | 4 | 2 | no | — |
| 201 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 202 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 203 | C3×C22⋊D5 | — | 2 | 2 | no | — |
| 204 | C3×C22⋊D5 | — | 4 | 2 | no | — |
| 205 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 206 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 207 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 208 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 209 | C2×C3×Dic5 | — | 4 | 2 | no | — |
| 210 | C2×C3×Dic5 | — | 4 | 2 | no | — |
| 211 | C2×C3×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 212 | C2×C3×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 213 | C2×C3×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 214 | C3×C4×D5 | — | 2 | 1 | no | — |
| 215 | C3×C4×D5 | — | 2 | 1 | no | — |
| 216 | C3×Dic10 | — | 2 | 1 | no | — |
| 217 | C3×Dic10 | — | 2 | 1 | no | — |
| 218 | C3×Dic10 | — | 2 | 1 | no | — |
| 219 | C3×Dic10 | — | 2 | 1 | no | — |
| 220 | C3×Dic10 | — | 4 | 2 | no | — |
| 221 | C3×C5×C8 | — | 2 | 1 | no | — |
| 222 | C3×C5×C8 | — | 2 | 1 | no | — |
| 223 | C3×#168 | — | 2 | 1 | no | — |
| 224 | C3×#168 | — | 2 | 1 | no | — |
| 225 | C2×C3×#41 | — | 5 | 1 | no | — |
| 226 | C2×C3×#41 | C2×D5 | 1 | 1 | yes | characteristic |
| 227 | C2×C3×Q16 | — | 5 | 1 | no | — |
| 228 | C2×C3×Q16 | — | 5 | 1 | no | — |
| 229 | C2×C3×SD16 | — | 5 | 1 | no | — |
| 230 | C22×C3×C8 | — | 5 | 1 | no | — |
| 231 | C22×C3×C8 | C2×D5 | 1 | 1 | yes | characteristic |
| 232 | C3×C4⋊Q8 | — | 5 | 1 | no | — |
| 233 | C3×C4⋊Q8 | — | 5 | 1 | no | — |
| 234 | C3×#126 | — | 10 | 1 | no | — |
| 235 | C3×#126 | — | 10 | 1 | no | — |
| 236 | C3×#124 | — | 10 | 1 | no | — |
| 237 | C3×#123 | — | 10 | 1 | no | — |
| 238 | C3×#123 | — | 10 | 1 | no | — |
| 239 | C3×C22⋊Q8 | — | 5 | 1 | no | — |
| 240 | C3×C22⋊Q8 | — | 5 | 1 | no | — |
| 241 | C3×C22⋊Q8 | — | 5 | 1 | no | — |
| 242 | C3×C22⋊Q8 | — | 5 | 1 | no | — |
| 243 | C3×#121 | — | 10 | 1 | no | — |
| 244 | C3×C4×Q8 | — | 5 | 1 | no | — |
| 245 | C3×C4×Q8 | — | 10 | 1 | no | — |
| 246 | C3×C4×D4 | — | 5 | 1 | no | — |
| 247 | C3×C4×D4 | — | 5 | 1 | no | — |
| 248 | C3×#117 | — | 5 | 1 | no | — |
| 249 | C3×#117 | C2×D5 | 1 | 1 | yes | characteristic |
| 250 | C2×C3×C4⋊C4 | — | 10 | 1 | no | — |
| 251 | C3×#107 | — | 5 | 1 | no | — |
| 252 | C3×#107 | — | 5 | 1 | no | — |
| 253 | C3×#106 | — | 5 | 1 | no | — |
| 254 | C3×C4⋊C8 | — | 5 | 1 | no | — |
| 255 | C3×#103 | — | 5 | 1 | no | — |
| 256 | C3×#103 | — | 5 | 1 | no | — |
| 257 | C3×#103 | — | 5 | 1 | no | — |
| 258 | C3×#103 | — | 5 | 1 | no | — |
| 259 | C3×#103 | — | 5 | 1 | no | — |
| 260 | C3×#103 | C2×D5 | 1 | 1 | yes | characteristic |
| 261 | C3×#103 | C2×D5 | 1 | 1 | yes | characteristic |
| 262 | C3×#102 | — | 5 | 1 | no | — |
| 263 | C3×#102 | C2×D5 | 1 | 1 | yes | characteristic |
| 264 | C3×#102 | C2×D5 | 1 | 1 | yes | characteristic |
| 265 | C3×C22⋊C8 | — | 5 | 1 | no | — |
| 266 | C3×C22⋊C8 | — | 5 | 1 | no | — |
| 267 | C3×C4×C8 | — | 5 | 1 | no | — |
| 268 | C5×#41 | — | 2 | 2 | no | — |
| 269 | C5×#41 | — | 4 | 1 | no | — |
| 270 | C2×C5×Q8 | C23×C3 | 1 | 1 | yes | characteristic |
| 271 | C2×C5×D4 | — | 2 | 1 | no | — |
| 272 | C2×C5×D4 | C23×C3 | 1 | 1 | yes | characteristic |
| 273 | C22×C4×C5 | — | 2 | 1 | no | — |
| 274 | C22×C4×C5 | C23×C3 | 1 | 1 | yes | characteristic |
| 275 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 276 | C2×C22⋊D5 | C3×D4 | 1 | 1 | yes | characteristic |
| 277 | C22×Dic5 | — | 2 | 1 | no | — |
| 278 | C22×Dic5 | — | 2 | 1 | no | — |
| 279 | #711 | — | 2 | 2 | no | — |
| 280 | #711 | — | 4 | 1 | no | — |
| 281 | C2×C4×D5 | C23×C3 | 1 | 1 | yes | characteristic |
| 282 | C2×Dic10 | — | 2 | 1 | no | — |
| 283 | C2×Dic10 | C23×C3 | 1 | 1 | yes | characteristic |
| 284 | C2×Dic10 | C23×C3 | 1 | 1 | yes | characteristic |
| 285 | C2×C5×C8 | — | 4 | 1 | no | — |
| 286 | C2×C5×C8 | C23×C3 | 1 | 1 | yes | characteristic |
| 287 | C2×C5×C8 | C23×C3 | 1 | 1 | yes | characteristic |
| 288 | C5×C4⋊C4 | C23×C3 | 1 | 1 | yes | characteristic |
| 289 | C5×C4⋊C4 | C23×C3 | 1 | 1 | yes | characteristic |
| 290 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 291 | C42×C5 | — | 2 | 1 | no | — |
| 292 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 293 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 294 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 295 | C22⋊Dic5 | C3×D4 | 1 | 1 | yes | characteristic |
| 296 | #689 | — | 4 | 1 | no | — |
| 297 | #687 | — | 2 | 2 | no | — |
| 298 | #685 | — | 2 | 1 | no | — |
| 299 | #685 | — | 2 | 1 | no | — |
| 300 | #685 | — | 2 | 1 | no | — |
| 301 | #685 | C3×D4 | 1 | 1 | yes | characteristic |
| 302 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 303 | C4⋊Dic5 | C23×C3 | 1 | 1 | yes | characteristic |
| 304 | C4⋊Dic5 | C23×C3 | 1 | 1 | yes | characteristic |
| 305 | #683 | — | 2 | 1 | no | — |
| 306 | #683 | — | 2 | 1 | no | — |
| 307 | #683 | — | 2 | 1 | no | — |
| 308 | #683 | — | 2 | 1 | no | — |
| 309 | #683 | — | 2 | 1 | no | — |
| 310 | #683 | — | 2 | 1 | no | — |
| 311 | #683 | — | 2 | 1 | no | — |
| 312 | #683 | C3×D4 | 1 | 1 | yes | characteristic |
| 313 | C4×Dic5 | — | 2 | 1 | no | — |
| 314 | C4×Dic5 | — | 2 | 1 | no | — |
| 315 | C4×Dic5 | C23×C3 | 1 | 1 | yes | characteristic |
| 316 | C2×#168 | C23×C3 | 1 | 1 | yes | characteristic |
| 317 | C2×#168 | C23×C3 | 1 | 1 | yes | characteristic |
| 318 | Dic20 | — | 4 | 1 | no | — |
| 319 | C8×D5 | — | 4 | 1 | no | — |
| 320 | #556 | — | 5 | 1 | no | — |
| 321 | #547 | — | 5 | 1 | no | — |
| 322 | #487 | — | 5 | 1 | no | — |
| 323 | #485 | — | 5 | 1 | no | — |
| 324 | #485 | — | 5 | 1 | no | — |
| 325 | #474 | — | 5 | 1 | no | — |
| 326 | #467 | — | 5 | 1 | no | — |
| 327 | #467 | — | 5 | 1 | no | — |
| 328 | #462 | — | 5 | 1 | no | — |
| 329 | #452 | — | 5 | 1 | no | — |
| 330 | #452 | — | 5 | 1 | no | — |
| 331 | C4×SD16 | — | 5 | 1 | no | — |
| 332 | C8×D4 | — | 5 | 1 | no | — |
| 333 | #416 | — | 5 | 1 | no | — |
| 334 | #416 | C3×D5 | 1 | 1 | yes | characteristic, complemented |
| 335 | C22×C3×C5 | — | 2 | 2 | no | — |
| 336 | C22×C3×C5 | — | 2 | 1 | no | — |
| 337 | C22×C3×C5 | — | 2 | 1 | no | — |
| 338 | C22×C3×C5 | — | 2 | 1 | no | — |
| 339 | C22×C3×C5 | — | 4 | 1 | no | — |
| 340 | C22×C3×C5 | — | 4 | 1 | no | — |
| 341 | C22×C3×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 342 | C2×C3×D5 | — | 2 | 1 | no | — |
| 343 | C2×C3×D5 | — | 2 | 1 | no | — |
| 344 | C2×C3×D5 | — | 2 | 1 | no | — |
| 345 | C3×C4×C5 | — | 2 | 1 | no | — |
| 346 | C3×C4×C5 | — | 4 | 1 | no | — |
| 347 | C3×C4×C5 | — | 4 | 1 | no | — |
| 348 | C3×C4×C5 | — | 4 | 1 | no | — |
| 349 | C3×C4×C5 | C2×#41 | 1 | 1 | yes | characteristic |
| 350 | C3×C4×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 351 | C3×Dic5 | — | 2 | 1 | no | — |
| 352 | C3×Dic5 | — | 2 | 1 | no | — |
| 353 | C3×Dic5 | — | 4 | 1 | no | — |
| 354 | C3×Dic5 | — | 4 | 1 | no | — |
| 355 | C3×Dic5 | — | 4 | 1 | no | — |
| 356 | C3×Dic5 | — | 4 | 1 | no | — |
| 357 | C3×Dic5 | #135 | 1 | 2 | yes | — |
| 358 | C3×#41 | — | 2 | 2 | no | — |
| 359 | C3×#41 | — | 4 | 1 | no | — |
| 360 | C3×#41 | — | 10 | 2 | no | — |
| 361 | C3×#41 | — | 20 | 1 | no | — |
| 362 | C2×C3×Q8 | — | 5 | 1 | no | — |
| 363 | C2×C3×Q8 | — | 5 | 1 | no | — |
| 364 | C2×C3×Q8 | — | 10 | 1 | no | — |
| 365 | C2×C3×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 366 | C2×C3×D4 | — | 2 | 1 | no | — |
| 367 | C2×C3×D4 | — | 5 | 1 | no | — |
| 368 | C2×C3×D4 | — | 10 | 1 | no | — |
| 369 | C2×C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 370 | C22×C3×C4 | — | 2 | 1 | no | — |
| 371 | C22×C3×C4 | — | 5 | 1 | no | — |
| 372 | C22×C3×C4 | — | 10 | 1 | no | — |
| 373 | C22×C3×C4 | — | 10 | 1 | no | — |
| 374 | C22×C3×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 375 | C3×Q16 | — | 20 | 1 | no | — |
| 376 | C3×Q16 | — | 20 | 1 | no | — |
| 377 | C3×SD16 | — | 10 | 2 | no | — |
| 378 | C2×C3×C8 | — | 4 | 1 | no | — |
| 379 | C2×C3×C8 | — | 5 | 1 | no | — |
| 380 | C2×C3×C8 | — | 5 | 1 | no | — |
| 381 | C2×C3×C8 | — | 20 | 1 | no | — |
| 382 | C2×C3×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 383 | C2×C3×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 384 | C3×C4⋊C4 | — | 5 | 1 | no | — |
| 385 | C3×C4⋊C4 | — | 5 | 1 | no | — |
| 386 | C3×C4⋊C4 | — | 5 | 1 | no | — |
| 387 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 388 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 389 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 390 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 391 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 392 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 393 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 394 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 395 | C3×C4⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 396 | C3×C4⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 397 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 398 | C3×C22⋊C4 | — | 5 | 1 | no | — |
| 399 | C3×C22⋊C4 | — | 5 | 1 | no | — |
| 400 | C3×C22⋊C4 | — | 10 | 1 | no | — |
| 401 | C3×C22⋊C4 | — | 10 | 1 | no | — |
| 402 | C3×C22⋊C4 | — | 10 | 1 | no | — |
| 403 | C3×C22⋊C4 | — | 10 | 1 | no | — |
| 404 | C3×C22⋊C4 | — | 10 | 1 | no | — |
| 405 | C3×C22⋊C4 | — | 10 | 1 | no | — |
| 406 | C3×C42 | — | 2 | 1 | no | — |
| 407 | C3×C42 | — | 5 | 1 | no | — |
| 408 | C3×C42 | — | 10 | 1 | no | — |
| 409 | C3×C42 | — | 10 | 1 | no | — |
| 410 | C23×C5 | — | 2 | 1 | no | — |
| 411 | C23×C5 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 412 | C22×D5 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 413 | C5×Q8 | — | 2 | 1 | no | — |
| 414 | C5×Q8 | — | 2 | 1 | no | — |
| 415 | C5×D4 | — | 2 | 1 | no | — |
| 416 | C5×D4 | — | 4 | 2 | no | — |
| 417 | C5×D4 | C3×#41 | 1 | 2 | yes | — |
| 418 | C2×C4×C5 | — | 2 | 1 | no | — |
| 419 | C2×C4×C5 | — | 2 | 1 | no | — |
| 420 | C2×C4×C5 | — | 2 | 1 | no | — |
| 421 | C2×C4×C5 | — | 2 | 1 | no | — |
| 422 | C2×C4×C5 | — | 2 | 1 | no | — |
| 423 | C2×C4×C5 | — | 4 | 2 | no | — |
| 424 | C2×C4×C5 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 425 | C2×C4×C5 | C24×C3 | 1 | 1 | yes | characteristic |
| 426 | C22⋊D5 | — | 2 | 2 | no | — |
| 427 | C22⋊D5 | — | 4 | 2 | no | — |
| 428 | C2×Dic5 | — | 2 | 1 | no | — |
| 429 | C2×Dic5 | — | 2 | 1 | no | — |
| 430 | C2×Dic5 | — | 2 | 1 | no | — |
| 431 | C2×Dic5 | — | 2 | 1 | no | — |
| 432 | C2×Dic5 | — | 4 | 2 | no | — |
| 433 | C2×Dic5 | — | 4 | 2 | no | — |
| 434 | C2×Dic5 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 435 | C2×Dic5 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 436 | C2×Dic5 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 437 | C4×D5 | — | 2 | 1 | no | — |
| 438 | C4×D5 | — | 2 | 1 | no | — |
| 439 | Dic10 | — | 2 | 1 | no | — |
| 440 | Dic10 | — | 2 | 1 | no | — |
| 441 | Dic10 | — | 2 | 1 | no | — |
| 442 | Dic10 | — | 2 | 1 | no | — |
| 443 | Dic10 | — | 4 | 2 | no | — |
| 444 | C5×C8 | — | 2 | 1 | no | — |
| 445 | C5×C8 | — | 2 | 1 | no | — |
| 446 | #168 | — | 2 | 1 | no | — |
| 447 | #168 | — | 2 | 1 | no | — |
| 448 | C2×#41 | — | 5 | 1 | no | — |
| 449 | C2×#41 | C2×C3×D5 | 1 | 1 | yes | characteristic |
| 450 | C2×Q16 | — | 5 | 1 | no | — |
| 451 | C2×Q16 | — | 5 | 1 | no | — |
| 452 | C2×SD16 | — | 5 | 1 | no | — |
| 453 | C22×C8 | — | 5 | 1 | no | — |
| 454 | C22×C8 | C2×C3×D5 | 1 | 1 | yes | characteristic |
| 455 | C4⋊Q8 | — | 5 | 1 | no | — |
| 456 | C4⋊Q8 | — | 5 | 1 | no | — |
| 457 | #126 | — | 10 | 1 | no | — |
| 458 | #126 | — | 10 | 1 | no | — |
| 459 | #124 | — | 10 | 1 | no | — |
| 460 | #123 | — | 10 | 1 | no | — |
| 461 | #123 | — | 10 | 1 | no | — |
| 462 | C22⋊Q8 | — | 5 | 1 | no | — |
| 463 | C22⋊Q8 | — | 5 | 1 | no | — |
| 464 | C22⋊Q8 | — | 5 | 1 | no | — |
| 465 | C22⋊Q8 | — | 5 | 1 | no | — |
| 466 | #121 | — | 10 | 1 | no | — |
| 467 | C4×Q8 | — | 5 | 1 | no | — |
| 468 | C4×Q8 | — | 10 | 1 | no | — |
| 469 | C4×D4 | — | 5 | 1 | no | — |
| 470 | C4×D4 | — | 5 | 1 | no | — |
| 471 | #117 | — | 5 | 1 | no | — |
| 472 | #117 | C2×C3×D5 | 1 | 1 | yes | characteristic |
| 473 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 474 | #107 | — | 5 | 1 | no | — |
| 475 | #107 | — | 5 | 1 | no | — |
| 476 | #106 | — | 5 | 1 | no | — |
| 477 | C4⋊C8 | — | 5 | 1 | no | — |
| 478 | #103 | — | 5 | 1 | no | — |
| 479 | #103 | — | 5 | 1 | no | — |
| 480 | #103 | — | 5 | 1 | no | — |
| 481 | #103 | — | 5 | 1 | no | — |
| 482 | #103 | — | 5 | 1 | no | — |
| 483 | #103 | C2×C3×D5 | 1 | 1 | yes | characteristic |
| 484 | #103 | C2×C3×D5 | 1 | 1 | yes | characteristic |
| 485 | #102 | — | 5 | 1 | no | — |
| 486 | #102 | C2×C3×D5 | 1 | 1 | yes | characteristic |
| 487 | #102 | C2×C3×D5 | 1 | 1 | yes | characteristic |
| 488 | C22⋊C8 | — | 5 | 1 | no | — |
| 489 | C22⋊C8 | — | 5 | 1 | no | — |
| 490 | C4×C8 | — | 5 | 1 | no | — |
| 491 | C2×C3×C5 | — | 4 | 1 | no | — |
| 492 | C2×C3×C5 | — | 4 | 2 | no | — |
| 493 | C2×C3×C5 | #546 | 1 | 1 | yes | characteristic |
| 494 | C2×C3×C5 | C2×#135 | 1 | 1 | yes | characteristic |
| 495 | C2×C3×C5 | #578 | 1 | 1 | yes | characteristic |
| 496 | C3×D5 | — | 4 | 1 | no | — |
| 497 | C23×C3 | — | 2 | 1 | no | — |
| 498 | C23×C3 | — | 5 | 1 | no | — |
| 499 | C23×C3 | D4×D5 | 1 | 1 | yes | characteristic |
| 500 | C3×Q8 | — | 2 | 1 | no | — |
| 501 | C3×Q8 | — | 2 | 1 | no | — |
| 502 | C3×Q8 | — | 10 | 1 | no | — |
| 503 | C3×Q8 | — | 10 | 1 | no | — |
| 504 | C3×Q8 | — | 10 | 1 | no | — |
| 505 | C3×Q8 | — | 10 | 1 | no | — |
| 506 | C3×Q8 | — | 20 | 2 | no | — |
| 507 | C3×D4 | — | 2 | 1 | no | — |
| 508 | C3×D4 | — | 4 | 2 | no | — |
| 509 | C3×D4 | — | 10 | 2 | no | — |
| 510 | C3×D4 | — | 20 | 2 | no | — |
| 511 | C3×D4 | #709 | 1 | 2 | yes | — |
| 512 | C2×C3×C4 | — | 2 | 1 | no | — |
| 513 | C2×C3×C4 | — | 2 | 1 | no | — |
| 514 | C2×C3×C4 | — | 2 | 1 | no | — |
| 515 | C2×C3×C4 | — | 2 | 1 | no | — |
| 516 | C2×C3×C4 | — | 2 | 1 | no | — |
| 517 | C2×C3×C4 | — | 4 | 2 | no | — |
| 518 | C2×C3×C4 | — | 5 | 1 | no | — |
| 519 | C2×C3×C4 | — | 5 | 1 | no | — |
| 520 | C2×C3×C4 | — | 5 | 1 | no | — |
| 521 | C2×C3×C4 | — | 10 | 1 | no | — |
| 522 | C2×C3×C4 | — | 10 | 1 | no | — |
| 523 | C2×C3×C4 | — | 10 | 1 | no | — |
| 524 | C2×C3×C4 | — | 10 | 1 | no | — |
| 525 | C2×C3×C4 | — | 10 | 1 | no | — |
| 526 | C2×C3×C4 | — | 10 | 1 | no | — |
| 527 | C2×C3×C4 | — | 20 | 2 | no | — |
| 528 | C2×C3×C4 | — | 20 | 2 | no | — |
| 529 | C2×C3×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 530 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 531 | C3×C8 | — | 2 | 1 | no | — |
| 532 | C3×C8 | — | 2 | 1 | no | — |
| 533 | C3×C8 | — | 10 | 1 | no | — |
| 534 | C3×C8 | — | 10 | 1 | no | — |
| 535 | C22×C5 | — | 2 | 1 | no | — |
| 536 | C22×C5 | — | 2 | 1 | no | — |
| 537 | C22×C5 | — | 2 | 2 | no | — |
| 538 | C22×C5 | — | 2 | 1 | no | — |
| 539 | C22×C5 | — | 4 | 1 | no | — |
| 540 | C22×C5 | — | 4 | 1 | no | — |
| 541 | C22×C5 | C22×C3×D4 | 1 | 1 | yes | characteristic |
| 542 | C2×D5 | — | 2 | 1 | no | — |
| 543 | C2×D5 | — | 2 | 1 | no | — |
| 544 | C2×D5 | — | 2 | 1 | no | — |
| 545 | C4×C5 | — | 2 | 1 | no | — |
| 546 | C4×C5 | — | 4 | 1 | no | — |
| 547 | C4×C5 | — | 4 | 1 | no | — |
| 548 | C4×C5 | — | 4 | 1 | no | — |
| 549 | C4×C5 | C2×C3×#41 | 1 | 1 | yes | characteristic |
| 550 | C4×C5 | C3×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 551 | Dic5 | — | 2 | 1 | no | — |
| 552 | Dic5 | — | 2 | 1 | no | — |
| 553 | Dic5 | — | 4 | 1 | no | — |
| 554 | Dic5 | — | 4 | 1 | no | — |
| 555 | Dic5 | — | 4 | 1 | no | — |
| 556 | Dic5 | — | 4 | 1 | no | — |
| 557 | Dic5 | C3×#135 | 1 | 2 | yes | — |
| 558 | #41 | — | 2 | 2 | no | — |
| 559 | #41 | — | 4 | 1 | no | — |
| 560 | #41 | — | 10 | 2 | no | — |
| 561 | #41 | — | 20 | 1 | no | — |
| 562 | C2×Q8 | — | 5 | 1 | no | — |
| 563 | C2×Q8 | — | 5 | 1 | no | — |
| 564 | C2×Q8 | — | 10 | 1 | no | — |
| 565 | C2×Q8 | C22×C3×D5 | 1 | 1 | yes | characteristic |
| 566 | C2×D4 | — | 2 | 1 | no | — |
| 567 | C2×D4 | — | 5 | 1 | no | — |
| 568 | C2×D4 | — | 10 | 1 | no | — |
| 569 | C2×D4 | C22×C3×D5 | 1 | 1 | yes | characteristic |
| 570 | C22×C4 | — | 2 | 1 | no | — |
| 571 | C22×C4 | — | 5 | 1 | no | — |
| 572 | C22×C4 | — | 10 | 1 | no | — |
| 573 | C22×C4 | — | 10 | 1 | no | — |
| 574 | C22×C4 | C22×C3×D5 | 1 | 1 | yes | characteristic |
| 575 | Q16 | — | 20 | 1 | no | — |
| 576 | Q16 | — | 20 | 1 | no | — |
| 577 | SD16 | — | 10 | 2 | no | — |
| 578 | C2×C8 | — | 4 | 1 | no | — |
| 579 | C2×C8 | — | 5 | 1 | no | — |
| 580 | C2×C8 | — | 5 | 1 | no | — |
| 581 | C2×C8 | — | 20 | 1 | no | — |
| 582 | C2×C8 | C22×C3×D5 | 1 | 1 | yes | characteristic |
| 583 | C2×C8 | C22×C3×D5 | 1 | 1 | yes | characteristic |
| 584 | C4⋊C4 | — | 5 | 1 | no | — |
| 585 | C4⋊C4 | — | 5 | 1 | no | — |
| 586 | C4⋊C4 | — | 5 | 1 | no | — |
| 587 | C4⋊C4 | — | 10 | 1 | no | — |
| 588 | C4⋊C4 | — | 10 | 1 | no | — |
| 589 | C4⋊C4 | — | 10 | 1 | no | — |
| 590 | C4⋊C4 | — | 10 | 1 | no | — |
| 591 | C4⋊C4 | — | 10 | 1 | no | — |
| 592 | C4⋊C4 | — | 10 | 1 | no | — |
| 593 | C4⋊C4 | — | 10 | 1 | no | — |
| 594 | C4⋊C4 | — | 10 | 1 | no | — |
| 595 | C4⋊C4 | C22×C3×D5 | 1 | 1 | yes | characteristic |
| 596 | C4⋊C4 | C22×C3×D5 | 1 | 1 | yes | characteristic |
| 597 | C22⋊C4 | — | 2 | 1 | no | — |
| 598 | C22⋊C4 | — | 5 | 1 | no | — |
| 599 | C22⋊C4 | — | 5 | 1 | no | — |
| 600 | C22⋊C4 | — | 10 | 1 | no | — |
| 601 | C22⋊C4 | — | 10 | 1 | no | — |
| 602 | C22⋊C4 | — | 10 | 1 | no | — |
| 603 | C22⋊C4 | — | 10 | 1 | no | — |
| 604 | C22⋊C4 | — | 10 | 1 | no | — |
| 605 | C22⋊C4 | — | 10 | 1 | no | — |
| 606 | C42 | — | 2 | 1 | no | — |
| 607 | C42 | — | 5 | 1 | no | — |
| 608 | C42 | — | 10 | 1 | no | — |
| 609 | C42 | — | 10 | 1 | no | — |
| 610 | C3×C5 | #3302 | 1 | 1 | yes | characteristic, complemented, Hall |
| 611 | C22×C3 | — | 2 | 1 | no | — |
| 612 | C22×C3 | — | 2 | 2 | no | — |
| 613 | C22×C3 | — | 2 | 1 | no | — |
| 614 | C22×C3 | — | 2 | 1 | no | — |
| 615 | C22×C3 | — | 4 | 1 | no | — |
| 616 | C22×C3 | — | 4 | 1 | no | — |
| 617 | C22×C3 | — | 10 | 1 | no | — |
| 618 | C22×C3 | — | 10 | 1 | no | — |
| 619 | C22×C3 | — | 10 | 1 | no | — |
| 620 | C22×C3 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 621 | C3×C4 | — | 2 | 1 | no | — |
| 622 | C3×C4 | — | 4 | 1 | no | — |
| 623 | C3×C4 | — | 4 | 1 | no | — |
| 624 | C3×C4 | — | 4 | 1 | no | — |
| 625 | C3×C4 | — | 5 | 2 | no | — |
| 626 | C3×C4 | — | 10 | 1 | no | — |
| 627 | C3×C4 | — | 10 | 1 | no | — |
| 628 | C3×C4 | — | 20 | 1 | no | — |
| 629 | C3×C4 | — | 20 | 1 | no | — |
| 630 | C3×C4 | — | 20 | 1 | no | — |
| 631 | C3×C4 | — | 20 | 1 | no | — |
| 632 | C3×C4 | C2×#709 | 1 | 1 | yes | characteristic |
| 633 | C3×C4 | #4144 | 1 | 1 | yes | characteristic |
| 634 | C2×C5 | — | 4 | 1 | no | — |
| 635 | C2×C5 | — | 4 | 2 | no | — |
| 636 | C2×C5 | C3×#546 | 1 | 1 | yes | characteristic |
| 637 | C2×C5 | C2×C3×#135 | 1 | 1 | yes | characteristic |
| 638 | C2×C5 | C3×#578 | 1 | 1 | yes | characteristic |
| 639 | D5 | — | 4 | 1 | no | — |
| 640 | C23 | — | 2 | 1 | no | — |
| 641 | C23 | — | 5 | 1 | no | — |
| 642 | C23 | C3×D4×D5 | 1 | 1 | yes | characteristic |
| 643 | Q8 | — | 2 | 1 | no | — |
| 644 | Q8 | — | 2 | 1 | no | — |
| 645 | Q8 | — | 10 | 1 | no | — |
| 646 | Q8 | — | 10 | 1 | no | — |
| 647 | Q8 | — | 10 | 1 | no | — |
| 648 | Q8 | — | 10 | 1 | no | — |
| 649 | Q8 | — | 20 | 2 | no | — |
| 650 | D4 | — | 2 | 1 | no | — |
| 651 | D4 | — | 4 | 2 | no | — |
| 652 | D4 | — | 10 | 2 | no | — |
| 653 | D4 | — | 20 | 2 | no | — |
| 654 | D4 | C3×#709 | 1 | 2 | yes | — |
| 655 | C2×C4 | — | 2 | 1 | no | — |
| 656 | C2×C4 | — | 2 | 1 | no | — |
| 657 | C2×C4 | — | 2 | 1 | no | — |
| 658 | C2×C4 | — | 2 | 1 | no | — |
| 659 | C2×C4 | — | 2 | 1 | no | — |
| 660 | C2×C4 | — | 4 | 2 | no | — |
| 661 | C2×C4 | — | 5 | 1 | no | — |
| 662 | C2×C4 | — | 5 | 1 | no | — |
| 663 | C2×C4 | — | 5 | 1 | no | — |
| 664 | C2×C4 | — | 10 | 1 | no | — |
| 665 | C2×C4 | — | 10 | 1 | no | — |
| 666 | C2×C4 | — | 10 | 1 | no | — |
| 667 | C2×C4 | — | 10 | 1 | no | — |
| 668 | C2×C4 | — | 10 | 1 | no | — |
| 669 | C2×C4 | — | 10 | 1 | no | — |
| 670 | C2×C4 | — | 20 | 2 | no | — |
| 671 | C2×C4 | — | 20 | 2 | no | — |
| 672 | C2×C4 | C3×D4×D5 | 1 | 1 | yes | characteristic |
| 673 | C2×C4 | C23×C3×D5 | 1 | 1 | yes | characteristic |
| 674 | C8 | — | 2 | 1 | no | — |
| 675 | C8 | — | 2 | 1 | no | — |
| 676 | C8 | — | 10 | 1 | no | — |
| 677 | C8 | — | 10 | 1 | no | — |
| 678 | C2×C3 | — | 4 | 1 | no | — |
| 679 | C2×C3 | — | 4 | 2 | no | — |
| 680 | C2×C3 | — | 20 | 1 | no | — |
| 681 | C2×C3 | #65824 | 1 | 1 | yes | characteristic |
| 682 | C2×C3 | D5×#135 | 1 | 1 | yes | characteristic |
| 683 | C2×C3 | #66105 | 1 | 1 | yes | characteristic |
| 684 | C5 | C3×#3302 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 685 | C22 | — | 2 | 1 | no | — |
| 686 | C22 | — | 2 | 1 | no | — |
| 687 | C22 | — | 2 | 1 | no | — |
| 688 | C22 | — | 2 | 2 | no | — |
| 689 | C22 | — | 4 | 1 | no | — |
| 690 | C22 | — | 4 | 1 | no | — |
| 691 | C22 | — | 10 | 1 | no | — |
| 692 | C22 | — | 10 | 1 | no | — |
| 693 | C22 | — | 10 | 1 | no | — |
| 694 | C22 | C2×C3×D4×D5 | 1 | 1 | yes | characteristic |
| 695 | C4 | — | 2 | 1 | no | — |
| 696 | C4 | — | 4 | 1 | no | — |
| 697 | C4 | — | 4 | 1 | no | — |
| 698 | C4 | — | 4 | 1 | no | — |
| 699 | C4 | — | 5 | 2 | no | — |
| 700 | C4 | — | 10 | 1 | no | — |
| 701 | C4 | — | 10 | 1 | no | — |
| 702 | C4 | — | 20 | 1 | no | — |
| 703 | C4 | — | 20 | 1 | no | — |
| 704 | C4 | — | 20 | 1 | no | — |
| 705 | C4 | — | 20 | 1 | no | — |
| 706 | C4 | C2×C3×#709 | 1 | 1 | yes | characteristic |
| 707 | C4 | C3×#4144 | 1 | 1 | yes | characteristic |
| 708 | C3 | #10610580 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 709 | C2 | — | 4 | 1 | no | — |
| 710 | C2 | — | 4 | 2 | no | — |
| 711 | C2 | — | 20 | 1 | no | — |
| 712 | C2 | C3×#65824 | 1 | 1 | yes | characteristic |
| 713 | C2 | C3×D5×#135 | 1 | 1 | yes | characteristic |
| 714 | C2 | C3×#66105 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta