| 1 | C3×#5688 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×C4×D3×Q8 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C32×#479 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#5063 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#5022 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×#4881 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | C3×#4875 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C3×#4861 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | C3×#4854 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C3×#4837 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | C3×#4829 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C3×#4802 | C2 | 1 | 1 | yes | maximal, characteristic |
| 13 | C3×#4802 | C2 | 1 | 1 | yes | maximal, characteristic |
| 14 | C3×#4793 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C3×#4791 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C3×#3078 | — | 3 | 1 | no | maximal |
| 17 | #81230 | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 18 | C2×C3×D3×Q8 | C22 | 1 | 1 | yes | characteristic |
| 19 | C32×#125 | C22 | 1 | 1 | yes | characteristic |
| 20 | C32×C4×Q8 | C22 | 1 | 1 | yes | characteristic |
| 21 | C3×Q8×Dic3 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×C3×ΓL(1,𝔽25) | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×C3×ΓL(1,𝔽25) | C22 | 1 | 1 | yes | characteristic |
| 24 | C3×#896 | — | 2 | 1 | no | — |
| 25 | C3×#896 | — | 2 | 1 | no | — |
| 26 | C3×#892 | C22 | 1 | 1 | yes | characteristic |
| 27 | C3×#892 | C22 | 1 | 1 | yes | characteristic |
| 28 | C3×D3×C4⋊C4 | — | 2 | 1 | no | — |
| 29 | C3×D3×C4⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 30 | C3×#888 | C22 | 1 | 1 | yes | characteristic |
| 31 | C3×#888 | C22 | 1 | 1 | yes | characteristic |
| 32 | C3×#887 | — | 2 | 1 | no | — |
| 33 | C3×#887 | — | 2 | 1 | no | — |
| 34 | C3×#887 | — | 2 | 1 | no | — |
| 35 | C3×#887 | C22 | 1 | 1 | yes | characteristic |
| 36 | C3×C42×D3 | — | 2 | 1 | no | — |
| 37 | C3×C42×D3 | C22 | 1 | 1 | yes | characteristic |
| 38 | C3×#870 | C22 | 1 | 1 | yes | characteristic |
| 39 | C3×C4×Dic6 | — | 2 | 1 | no | — |
| 40 | C3×C4×Dic6 | C22 | 1 | 1 | yes | characteristic |
| 41 | C32×#107 | C22 | 1 | 1 | yes | characteristic |
| 42 | C32×#106 | C22 | 1 | 1 | yes | characteristic |
| 43 | C32×C4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 44 | C32×#103 | C22 | 1 | 1 | yes | characteristic |
| 45 | C32×#103 | C22 | 1 | 1 | yes | characteristic |
| 46 | C3×#835 | C22 | 1 | 1 | yes | characteristic |
| 47 | C3×#835 | C22 | 1 | 1 | yes | characteristic |
| 48 | C3×#818 | C22 | 1 | 1 | yes | characteristic |
| 49 | C3×#817 | C22 | 1 | 1 | yes | characteristic |
| 50 | C3×#816 | C22 | 1 | 1 | yes | characteristic |
| 51 | C3×#816 | C22 | 1 | 1 | yes | characteristic |
| 52 | C3×Dic3⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 53 | C3×Dic3⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 54 | C3×#810 | C22 | 1 | 1 | yes | characteristic |
| 55 | C3×#810 | C22 | 1 | 1 | yes | characteristic |
| 56 | C3×#808 | C22 | 1 | 1 | yes | characteristic |
| 57 | C3×#808 | C22 | 1 | 1 | yes | characteristic |
| 58 | C3×#807 | C22 | 1 | 1 | yes | characteristic |
| 59 | C3×#807 | C22 | 1 | 1 | yes | characteristic |
| 60 | C3×C4⋊(C3⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 61 | C3×#533 | — | 3 | 1 | no | — |
| 62 | C2×C3×C4×Q8 | — | 3 | 1 | no | — |
| 63 | #5688 | C2×C3 | 1 | 1 | yes | characteristic |
| 64 | C4×D3×Q8 | C2×C3 | 1 | 1 | yes | characteristic |
| 65 | C3×#479 | — | 2 | 1 | no | — |
| 66 | C3×#479 | — | 3 | 1 | no | — |
| 67 | C3×#479 | — | 3 | 1 | no | — |
| 68 | C3×#479 | — | 3 | 1 | no | — |
| 69 | C3×#479 | D3 | 1 | 1 | yes | characteristic, complemented |
| 70 | C3×#479 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 71 | C3×#477 | — | 3 | 1 | no | — |
| 72 | C3×#477 | — | 3 | 1 | no | — |
| 73 | C3×#475 | — | 3 | 1 | no | — |
| 74 | C3×#475 | — | 3 | 1 | no | — |
| 75 | C3×#428 | — | 3 | 1 | no | — |
| 76 | C3×#428 | — | 3 | 1 | no | — |
| 77 | C3×#423 | — | 3 | 1 | no | — |
| 78 | C3×#419 | — | 3 | 1 | no | — |
| 79 | C3×#419 | — | 3 | 1 | no | — |
| 80 | #5063 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 81 | #5022 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 82 | #4881 | C2×C3 | 1 | 1 | yes | characteristic |
| 83 | #4875 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 84 | #4861 | C2×C3 | 1 | 1 | yes | characteristic |
| 85 | #4854 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 86 | #4837 | C2×C3 | 1 | 1 | yes | characteristic |
| 87 | #4829 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 88 | #4802 | C2×C3 | 1 | 1 | yes | characteristic |
| 89 | #4802 | C2×C3 | 1 | 1 | yes | characteristic |
| 90 | #4793 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 91 | #4791 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 92 | C2×C32×Q8 | C23 | 1 | 1 | yes | characteristic |
| 93 | C3×D3×Q8 | — | 2 | 2 | no | — |
| 94 | C3×D3×Q8 | Q8 | 1 | 4 | yes | complemented |
| 95 | C2×C3×C4×D3 | — | 2 | 1 | no | — |
| 96 | C2×C3×C4×D3 | — | 2 | 1 | no | — |
| 97 | C2×C3×C4×D3 | D4 | 1 | 1 | yes | characteristic |
| 98 | C2×C3×C4×D3 | D4 | 1 | 1 | yes | characteristic |
| 99 | C2×C3×C4×D3 | C23 | 1 | 1 | yes | characteristic |
| 100 | C2×C3×Dic6 | — | 2 | 1 | no | — |
| 101 | C2×C3×Dic6 | — | 2 | 1 | no | — |
| 102 | C2×C3×Dic6 | — | 2 | 1 | no | — |
| 103 | C2×C3×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 104 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 105 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 106 | C32×C4⋊C4 | — | 2 | 1 | no | — |
| 107 | C32×C4⋊C4 | — | 2 | 1 | no | — |
| 108 | C32×C4⋊C4 | — | 2 | 1 | no | — |
| 109 | C32×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 110 | C32×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 111 | C32×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 112 | C32×C42 | — | 2 | 1 | no | — |
| 113 | C32×C42 | C23 | 1 | 1 | yes | characteristic |
| 114 | C3×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 115 | C3×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 116 | C3×C4⋊Dic3 | — | 2 | 1 | no | — |
| 117 | C3×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 118 | C3×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 119 | C3×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 120 | C3×Dic3⋊C4 | — | 2 | 1 | no | — |
| 121 | C3×Dic3⋊C4 | — | 2 | 1 | no | — |
| 122 | C3×Dic3⋊C4 | — | 2 | 1 | no | — |
| 123 | C3×Dic3⋊C4 | — | 2 | 1 | no | — |
| 124 | C3×Dic3⋊C4 | — | 2 | 1 | no | — |
| 125 | C3×Dic3⋊C4 | — | 2 | 1 | no | — |
| 126 | C3×Dic3⋊C4 | — | 2 | 1 | no | — |
| 127 | C3×C4×Dic3 | — | 2 | 1 | no | — |
| 128 | C3×C4×Dic3 | — | 2 | 1 | no | — |
| 129 | C3×C4×Dic3 | — | 2 | 1 | no | — |
| 130 | C3×C4×Dic3 | — | 2 | 1 | no | — |
| 131 | C3×C4×Dic3 | — | 2 | 1 | no | — |
| 132 | C3×C4×Dic3 | D4 | 1 | 1 | yes | characteristic |
| 133 | C3×C4×Dic3 | D4 | 1 | 1 | yes | characteristic |
| 134 | C3×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 135 | C2×C3×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 136 | C2×C3×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 137 | C3×ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 138 | C3×ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 139 | #3078 | — | 3 | 1 | no | Sylow |
| 140 | C22×C3×Q8 | — | 3 | 1 | no | — |
| 141 | C2×D3×Q8 | C22×C3 | 1 | 1 | yes | characteristic |
| 142 | C2×C3×M16 | — | 3 | 1 | no | — |
| 143 | C2×C3×M16 | — | 3 | 1 | no | — |
| 144 | C3×C4⋊Q8 | — | 3 | 1 | no | — |
| 145 | C3×C4⋊Q8 | — | 3 | 1 | no | — |
| 146 | C3×#125 | — | 2 | 1 | no | — |
| 147 | C3×#125 | — | 3 | 1 | no | — |
| 148 | C3×#125 | C2×D3 | 1 | 1 | yes | characteristic |
| 149 | C3×#125 | C22×C3 | 1 | 1 | yes | characteristic |
| 150 | C3×C22⋊Q8 | — | 6 | 1 | no | — |
| 151 | C3×C22⋊Q8 | — | 6 | 1 | no | — |
| 152 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 153 | C3×C4×Q8 | — | 3 | 1 | no | — |
| 154 | C3×C4×Q8 | — | 3 | 1 | no | — |
| 155 | C3×C4×Q8 | — | 3 | 1 | no | — |
| 156 | C3×C4×Q8 | — | 6 | 1 | no | — |
| 157 | C3×C4×Q8 | — | 6 | 1 | no | — |
| 158 | C3×C4×Q8 | — | 6 | 1 | no | — |
| 159 | C3×C4×Q8 | — | 6 | 1 | no | — |
| 160 | C3×C4×Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 161 | C3×C4×Q8 | C22×C3 | 1 | 1 | yes | characteristic |
| 162 | C3×#117 | — | 3 | 1 | no | — |
| 163 | C3×#117 | — | 3 | 1 | no | — |
| 164 | C2×C3×C4⋊C4 | — | 3 | 1 | no | — |
| 165 | C2×C3×C4⋊C4 | — | 6 | 1 | no | — |
| 166 | C2×C3×C42 | — | 3 | 1 | no | — |
| 167 | C2×C3×C42 | — | 6 | 1 | no | — |
| 168 | Q8×Dic3 | C22×C3 | 1 | 1 | yes | characteristic |
| 169 | C2×ΓL(1,𝔽25) | C22×C3 | 1 | 1 | yes | characteristic |
| 170 | C2×ΓL(1,𝔽25) | C22×C3 | 1 | 1 | yes | characteristic |
| 171 | #896 | — | 2 | 1 | no | — |
| 172 | #896 | — | 2 | 1 | no | — |
| 173 | #892 | C22×C3 | 1 | 1 | yes | characteristic |
| 174 | #892 | C22×C3 | 1 | 1 | yes | characteristic |
| 175 | D3×C4⋊C4 | — | 2 | 1 | no | — |
| 176 | D3×C4⋊C4 | C22×C3 | 1 | 1 | yes | characteristic |
| 177 | #888 | C22×C3 | 1 | 1 | yes | characteristic |
| 178 | #888 | C22×C3 | 1 | 1 | yes | characteristic |
| 179 | #887 | — | 2 | 1 | no | — |
| 180 | #887 | — | 2 | 1 | no | — |
| 181 | #887 | — | 2 | 1 | no | — |
| 182 | #887 | C22×C3 | 1 | 1 | yes | characteristic |
| 183 | C42×D3 | — | 2 | 1 | no | — |
| 184 | C42×D3 | C22×C3 | 1 | 1 | yes | characteristic |
| 185 | #870 | C22×C3 | 1 | 1 | yes | characteristic |
| 186 | C4×Dic6 | — | 2 | 1 | no | — |
| 187 | C4×Dic6 | C22×C3 | 1 | 1 | yes | characteristic |
| 188 | C3×#107 | — | 2 | 1 | no | — |
| 189 | C3×#107 | — | 3 | 1 | no | — |
| 190 | C3×#107 | — | 3 | 1 | no | — |
| 191 | C3×#107 | — | 3 | 1 | no | — |
| 192 | C3×#107 | C2×D3 | 1 | 1 | yes | characteristic |
| 193 | C3×#107 | C22×C3 | 1 | 1 | yes | characteristic |
| 194 | C3×#106 | — | 2 | 1 | no | — |
| 195 | C3×#106 | — | 3 | 1 | no | — |
| 196 | C3×#106 | — | 3 | 1 | no | — |
| 197 | C3×#106 | — | 3 | 1 | no | — |
| 198 | C3×#106 | C2×D3 | 1 | 1 | yes | characteristic |
| 199 | C3×#106 | C22×C3 | 1 | 1 | yes | characteristic |
| 200 | C3×C4⋊C8 | — | 2 | 1 | no | — |
| 201 | C3×C4⋊C8 | — | 3 | 1 | no | — |
| 202 | C3×C4⋊C8 | — | 3 | 1 | no | — |
| 203 | C3×C4⋊C8 | — | 3 | 1 | no | — |
| 204 | C3×C4⋊C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 205 | C3×C4⋊C8 | C22×C3 | 1 | 1 | yes | characteristic |
| 206 | C3×#103 | — | 2 | 1 | no | — |
| 207 | C3×#103 | — | 2 | 1 | no | — |
| 208 | C3×#103 | — | 3 | 1 | no | — |
| 209 | C3×#103 | — | 3 | 1 | no | — |
| 210 | C3×#103 | — | 3 | 1 | no | — |
| 211 | C3×#103 | — | 3 | 1 | no | — |
| 212 | C3×#103 | — | 3 | 1 | no | — |
| 213 | C3×#103 | — | 3 | 1 | no | — |
| 214 | C3×#103 | C2×D3 | 1 | 1 | yes | characteristic |
| 215 | C3×#103 | C2×D3 | 1 | 1 | yes | characteristic |
| 216 | C3×#103 | C22×C3 | 1 | 1 | yes | characteristic |
| 217 | C3×#103 | C22×C3 | 1 | 1 | yes | characteristic |
| 218 | #835 | C22×C3 | 1 | 1 | yes | characteristic |
| 219 | #835 | C22×C3 | 1 | 1 | yes | characteristic |
| 220 | #818 | C22×C3 | 1 | 1 | yes | characteristic |
| 221 | #817 | C22×C3 | 1 | 1 | yes | characteristic |
| 222 | #816 | C22×C3 | 1 | 1 | yes | characteristic |
| 223 | #816 | C22×C3 | 1 | 1 | yes | characteristic |
| 224 | Dic3⋊C8 | C22×C3 | 1 | 1 | yes | characteristic |
| 225 | Dic3⋊C8 | C22×C3 | 1 | 1 | yes | characteristic |
| 226 | #810 | C22×C3 | 1 | 1 | yes | characteristic |
| 227 | #810 | C22×C3 | 1 | 1 | yes | characteristic |
| 228 | #808 | C22×C3 | 1 | 1 | yes | characteristic |
| 229 | #808 | C22×C3 | 1 | 1 | yes | characteristic |
| 230 | #807 | C22×C3 | 1 | 1 | yes | characteristic |
| 231 | #807 | C22×C3 | 1 | 1 | yes | characteristic |
| 232 | C4⋊(C3⋊C8) | C22×C3 | 1 | 1 | yes | characteristic |
| 233 | C22×C3×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 234 | C32×Q8 | — | 2 | 1 | no | — |
| 235 | C32×Q8 | C2×Q8 | 1 | 2 | yes | — |
| 236 | C2×C32×C4 | — | 2 | 1 | no | — |
| 237 | C2×C32×C4 | — | 2 | 1 | no | — |
| 238 | C2×C32×C4 | — | 2 | 1 | no | — |
| 239 | C2×C32×C4 | — | 2 | 1 | no | — |
| 240 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 241 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 242 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 243 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 244 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 245 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 246 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 247 | C2×C3×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 248 | C2×C3×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 249 | C2×C3×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 250 | C3×C4×D3 | — | 2 | 4 | no | — |
| 251 | C3×C4×D3 | — | 2 | 2 | no | — |
| 252 | C3×C4×D3 | — | 4 | 1 | no | — |
| 253 | C3×C4×D3 | — | 4 | 2 | no | — |
| 254 | C3×C4×D3 | C2×Q8 | 1 | 2 | yes | — |
| 255 | C3×C4×D3 | #41 | 1 | 2 | yes | — |
| 256 | C3×Dic6 | — | 2 | 1 | no | — |
| 257 | C3×Dic6 | — | 2 | 4 | no | — |
| 258 | C3×Dic6 | — | 4 | 2 | no | — |
| 259 | C3×Dic6 | — | 4 | 2 | no | — |
| 260 | C3×Dic6 | C2×Q8 | 1 | 2 | yes | — |
| 261 | C32×C8 | — | 2 | 1 | no | — |
| 262 | C32×C8 | — | 2 | 1 | no | — |
| 263 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 264 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 265 | #533 | — | 3 | 1 | no | — |
| 266 | C2×C4×Q8 | — | 3 | 1 | no | — |
| 267 | #479 | — | 3 | 1 | no | — |
| 268 | #479 | — | 3 | 1 | no | — |
| 269 | #479 | — | 3 | 1 | no | — |
| 270 | #479 | C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 271 | #477 | — | 3 | 1 | no | — |
| 272 | #477 | — | 3 | 1 | no | — |
| 273 | #475 | — | 3 | 1 | no | — |
| 274 | #475 | — | 3 | 1 | no | — |
| 275 | #428 | — | 3 | 1 | no | — |
| 276 | #428 | — | 3 | 1 | no | — |
| 277 | #423 | — | 3 | 1 | no | — |
| 278 | #419 | — | 3 | 1 | no | — |
| 279 | #419 | — | 3 | 1 | no | — |
| 280 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 281 | C2×C3×Q8 | — | 3 | 4 | no | — |
| 282 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 283 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 284 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 285 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 286 | C2×C3×Q8 | — | 6 | 2 | no | — |
| 287 | C2×C3×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 288 | C2×C3×Q8 | C23×C3 | 1 | 1 | yes | characteristic |
| 289 | C22×C3×C4 | — | 3 | 1 | no | — |
| 290 | C22×C3×C4 | — | 3 | 1 | no | — |
| 291 | C22×C3×C4 | — | 3 | 1 | no | — |
| 292 | C22×C3×C4 | — | 6 | 1 | no | — |
| 293 | C22×C3×C4 | — | 6 | 1 | no | — |
| 294 | D3×Q8 | — | 2 | 2 | no | — |
| 295 | D3×Q8 | C3×Q8 | 1 | 4 | yes | complemented |
| 296 | C2×C4×D3 | — | 2 | 1 | no | — |
| 297 | C2×C4×D3 | — | 2 | 1 | no | — |
| 298 | C2×C4×D3 | C3×D4 | 1 | 1 | yes | characteristic |
| 299 | C2×C4×D3 | C3×D4 | 1 | 1 | yes | characteristic |
| 300 | C2×C4×D3 | C23×C3 | 1 | 1 | yes | characteristic |
| 301 | C2×Dic6 | — | 2 | 1 | no | — |
| 302 | C2×Dic6 | — | 2 | 1 | no | — |
| 303 | C2×Dic6 | — | 2 | 1 | no | — |
| 304 | C2×Dic6 | C23×C3 | 1 | 1 | yes | characteristic |
| 305 | C3×M16 | — | 6 | 2 | no | — |
| 306 | C3×M16 | — | 6 | 2 | no | — |
| 307 | C2×C3×C8 | — | 2 | 1 | no | — |
| 308 | C2×C3×C8 | — | 2 | 1 | no | — |
| 309 | C2×C3×C8 | — | 3 | 1 | no | — |
| 310 | C2×C3×C8 | — | 3 | 1 | no | — |
| 311 | C2×C3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 312 | C2×C3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 313 | C2×C3×C8 | C23×C3 | 1 | 1 | yes | characteristic |
| 314 | C2×C3×C8 | C23×C3 | 1 | 1 | yes | characteristic |
| 315 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 316 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 317 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 318 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 319 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 320 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 321 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 322 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 323 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 324 | C3×C4⋊C4 | — | 3 | 1 | no | — |
| 325 | C3×C4⋊C4 | — | 3 | 1 | no | — |
| 326 | C3×C4⋊C4 | — | 3 | 1 | no | — |
| 327 | C3×C4⋊C4 | — | 4 | 1 | no | — |
| 328 | C3×C4⋊C4 | — | 4 | 1 | no | — |
| 329 | C3×C4⋊C4 | — | 4 | 1 | no | — |
| 330 | C3×C4⋊C4 | — | 6 | 1 | no | — |
| 331 | C3×C4⋊C4 | — | 6 | 1 | no | — |
| 332 | C3×C4⋊C4 | — | 6 | 1 | no | — |
| 333 | C3×C4⋊C4 | — | 6 | 1 | no | — |
| 334 | C3×C4⋊C4 | — | 6 | 1 | no | — |
| 335 | C3×C4⋊C4 | — | 6 | 1 | no | — |
| 336 | C3×C4⋊C4 | — | 6 | 1 | no | — |
| 337 | C3×C4⋊C4 | — | 6 | 1 | no | — |
| 338 | C3×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 339 | C3×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 340 | C3×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 341 | C3×C4⋊C4 | C23×C3 | 1 | 1 | yes | characteristic |
| 342 | C3×C4⋊C4 | C23×C3 | 1 | 1 | yes | characteristic |
| 343 | C3×C4⋊C4 | C23×C3 | 1 | 1 | yes | characteristic |
| 344 | C3×C22⋊C4 | — | 6 | 1 | no | — |
| 345 | C3×C22⋊C4 | — | 6 | 1 | no | — |
| 346 | C3×C42 | — | 2 | 1 | no | — |
| 347 | C3×C42 | — | 2 | 1 | no | — |
| 348 | C3×C42 | — | 2 | 1 | no | — |
| 349 | C3×C42 | — | 3 | 1 | no | — |
| 350 | C3×C42 | — | 3 | 1 | no | — |
| 351 | C3×C42 | — | 3 | 1 | no | — |
| 352 | C3×C42 | — | 4 | 1 | no | — |
| 353 | C3×C42 | — | 6 | 1 | no | — |
| 354 | C3×C42 | — | 6 | 1 | no | — |
| 355 | C3×C42 | — | 6 | 1 | no | — |
| 356 | C3×C42 | — | 6 | 1 | no | — |
| 357 | C3×C42 | — | 6 | 1 | no | — |
| 358 | C3×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 359 | C3×C42 | C23×C3 | 1 | 1 | yes | characteristic |
| 360 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 361 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 362 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 363 | C4⋊Dic3 | C23×C3 | 1 | 1 | yes | characteristic |
| 364 | C4⋊Dic3 | C23×C3 | 1 | 1 | yes | characteristic |
| 365 | C4⋊Dic3 | C23×C3 | 1 | 1 | yes | characteristic |
| 366 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 367 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 368 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 369 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 370 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 371 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 372 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 373 | C4×Dic3 | — | 2 | 1 | no | — |
| 374 | C4×Dic3 | — | 2 | 1 | no | — |
| 375 | C4×Dic3 | — | 2 | 1 | no | — |
| 376 | C4×Dic3 | — | 2 | 1 | no | — |
| 377 | C4×Dic3 | — | 2 | 1 | no | — |
| 378 | C4×Dic3 | C3×D4 | 1 | 1 | yes | characteristic |
| 379 | C4×Dic3 | C3×D4 | 1 | 1 | yes | characteristic |
| 380 | C4×Dic3 | C23×C3 | 1 | 1 | yes | characteristic |
| 381 | C2×C3⋊C8 | C23×C3 | 1 | 1 | yes | characteristic |
| 382 | C2×C3⋊C8 | C23×C3 | 1 | 1 | yes | characteristic |
| 383 | ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 384 | ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 385 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 386 | C2×C3×D3 | — | 2 | 1 | no | — |
| 387 | C2×C3×D3 | — | 2 | 1 | no | — |
| 388 | C2×C3×D3 | C22⋊Q8 | 1 | 2 | yes | — |
| 389 | C32×C4 | — | 2 | 2 | no | — |
| 390 | C32×C4 | — | 2 | 1 | no | — |
| 391 | C32×C4 | — | 2 | 1 | no | — |
| 392 | C32×C4 | — | 4 | 1 | no | — |
| 393 | C32×C4 | — | 4 | 1 | no | — |
| 394 | C32×C4 | — | 4 | 1 | no | — |
| 395 | C32×C4 | C22×Q8 | 1 | 1 | yes | characteristic |
| 396 | C32×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 397 | C3×Dic3 | — | 2 | 2 | no | — |
| 398 | C3×Dic3 | — | 2 | 1 | no | — |
| 399 | C3×Dic3 | — | 4 | 1 | no | — |
| 400 | C3×Dic3 | — | 4 | 1 | no | — |
| 401 | C3×Dic3 | — | 4 | 1 | no | — |
| 402 | C3×Dic3 | C22⋊Q8 | 1 | 2 | yes | — |
| 403 | C3×Dic3 | #137 | 1 | 2 | yes | — |
| 404 | C22×Q8 | — | 3 | 1 | no | — |
| 405 | C2×M16 | — | 3 | 1 | no | — |
| 406 | C2×M16 | — | 3 | 1 | no | — |
| 407 | C4⋊Q8 | — | 3 | 1 | no | — |
| 408 | C4⋊Q8 | — | 3 | 1 | no | — |
| 409 | #125 | — | 3 | 1 | no | — |
| 410 | #125 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 411 | C22⋊Q8 | — | 6 | 1 | no | — |
| 412 | C22⋊Q8 | — | 6 | 1 | no | — |
| 413 | C4×Q8 | — | 3 | 1 | no | — |
| 414 | C4×Q8 | — | 3 | 1 | no | — |
| 415 | C4×Q8 | — | 3 | 1 | no | — |
| 416 | C4×Q8 | — | 6 | 1 | no | — |
| 417 | C4×Q8 | — | 6 | 1 | no | — |
| 418 | C4×Q8 | — | 6 | 1 | no | — |
| 419 | C4×Q8 | — | 6 | 1 | no | — |
| 420 | C4×Q8 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 421 | #117 | — | 3 | 1 | no | — |
| 422 | #117 | — | 3 | 1 | no | — |
| 423 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 424 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 425 | C2×C42 | — | 3 | 1 | no | — |
| 426 | C2×C42 | — | 6 | 1 | no | — |
| 427 | #107 | — | 3 | 1 | no | — |
| 428 | #107 | — | 3 | 1 | no | — |
| 429 | #107 | — | 3 | 1 | no | — |
| 430 | #107 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 431 | #106 | — | 3 | 1 | no | — |
| 432 | #106 | — | 3 | 1 | no | — |
| 433 | #106 | — | 3 | 1 | no | — |
| 434 | #106 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 435 | C4⋊C8 | — | 3 | 1 | no | — |
| 436 | C4⋊C8 | — | 3 | 1 | no | — |
| 437 | C4⋊C8 | — | 3 | 1 | no | — |
| 438 | C4⋊C8 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 439 | #103 | — | 3 | 1 | no | — |
| 440 | #103 | — | 3 | 1 | no | — |
| 441 | #103 | — | 3 | 1 | no | — |
| 442 | #103 | — | 3 | 1 | no | — |
| 443 | #103 | — | 3 | 1 | no | — |
| 444 | #103 | — | 3 | 1 | no | — |
| 445 | #103 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 446 | #103 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 447 | C23×C3 | — | 3 | 1 | no | — |
| 448 | C22×D3 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 449 | C3×Q8 | — | 2 | 1 | no | — |
| 450 | C3×Q8 | — | 2 | 1 | no | — |
| 451 | C3×Q8 | — | 2 | 2 | no | — |
| 452 | C3×Q8 | — | 3 | 2 | no | — |
| 453 | C3×Q8 | — | 4 | 1 | no | — |
| 454 | C3×Q8 | — | 6 | 4 | no | — |
| 455 | C3×Q8 | — | 6 | 1 | no | — |
| 456 | C3×Q8 | — | 12 | 2 | no | — |
| 457 | C3×Q8 | — | 12 | 2 | no | — |
| 458 | C3×Q8 | D3×Q8 | 1 | 2 | yes | — |
| 459 | C3×Q8 | C2×C3×Q8 | 1 | 2 | yes | — |
| 460 | C2×C3×C4 | — | 2 | 1 | no | — |
| 461 | C2×C3×C4 | — | 2 | 1 | no | — |
| 462 | C2×C3×C4 | — | 2 | 1 | no | — |
| 463 | C2×C3×C4 | — | 2 | 1 | no | — |
| 464 | C2×C3×C4 | — | 2 | 1 | no | — |
| 465 | C2×C3×C4 | — | 2 | 1 | no | — |
| 466 | C2×C3×C4 | — | 2 | 1 | no | — |
| 467 | C2×C3×C4 | — | 2 | 1 | no | — |
| 468 | C2×C3×C4 | — | 2 | 1 | no | — |
| 469 | C2×C3×C4 | — | 2 | 1 | no | — |
| 470 | C2×C3×C4 | — | 2 | 1 | no | — |
| 471 | C2×C3×C4 | — | 3 | 1 | no | — |
| 472 | C2×C3×C4 | — | 3 | 1 | no | — |
| 473 | C2×C3×C4 | — | 3 | 2 | no | — |
| 474 | C2×C3×C4 | — | 3 | 2 | no | — |
| 475 | C2×C3×C4 | — | 3 | 1 | no | — |
| 476 | C2×C3×C4 | — | 4 | 1 | no | — |
| 477 | C2×C3×C4 | — | 4 | 1 | no | — |
| 478 | C2×C3×C4 | — | 4 | 1 | no | — |
| 479 | C2×C3×C4 | — | 4 | 1 | no | — |
| 480 | C2×C3×C4 | — | 6 | 2 | no | — |
| 481 | C2×C3×C4 | — | 6 | 4 | no | — |
| 482 | C2×C3×C4 | — | 6 | 1 | no | — |
| 483 | C2×C3×C4 | — | 6 | 1 | no | — |
| 484 | C2×C3×C4 | — | 6 | 1 | no | — |
| 485 | C2×C3×C4 | — | 6 | 1 | no | — |
| 486 | C2×C3×C4 | — | 12 | 1 | no | — |
| 487 | C2×C3×C4 | — | 12 | 2 | no | — |
| 488 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 489 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 490 | C2×C3×C4 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 491 | C2×C3×C4 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 492 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 493 | C2×C3×C4 | C24×C3 | 1 | 1 | yes | characteristic |
| 494 | C2×Dic3 | — | 2 | 1 | no | — |
| 495 | C2×Dic3 | — | 2 | 1 | no | — |
| 496 | C2×Dic3 | — | 2 | 1 | no | — |
| 497 | C2×Dic3 | — | 2 | 1 | no | — |
| 498 | C2×Dic3 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 499 | C2×Dic3 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 500 | C2×Dic3 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 501 | C4×D3 | — | 2 | 4 | no | — |
| 502 | C4×D3 | — | 2 | 2 | no | — |
| 503 | C4×D3 | — | 4 | 1 | no | — |
| 504 | C4×D3 | — | 4 | 2 | no | — |
| 505 | C4×D3 | C2×C3×Q8 | 1 | 2 | yes | — |
| 506 | C4×D3 | C3×#41 | 1 | 2 | yes | — |
| 507 | Dic6 | — | 2 | 1 | no | — |
| 508 | Dic6 | — | 2 | 4 | no | — |
| 509 | Dic6 | — | 4 | 2 | no | — |
| 510 | Dic6 | — | 4 | 2 | no | — |
| 511 | Dic6 | C2×C3×Q8 | 1 | 2 | yes | — |
| 512 | C3×C8 | — | 2 | 1 | no | — |
| 513 | C3×C8 | — | 2 | 1 | no | — |
| 514 | C3×C8 | — | 2 | 1 | no | — |
| 515 | C3×C8 | — | 2 | 1 | no | — |
| 516 | C3×C8 | — | 4 | 1 | no | — |
| 517 | C3×C8 | — | 4 | 1 | no | — |
| 518 | C3×C8 | — | 6 | 1 | no | — |
| 519 | C3×C8 | — | 6 | 1 | no | — |
| 520 | C3⋊C8 | — | 2 | 1 | no | — |
| 521 | C3⋊C8 | — | 2 | 1 | no | — |
| 522 | C2×C32 | C2×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 523 | C2×C32 | C2×#137 | 1 | 1 | yes | characteristic |
| 524 | C2×C32 | #575 | 1 | 1 | yes | characteristic |
| 525 | C3×D3 | — | 2 | 2 | no | — |
| 526 | C2×Q8 | — | 3 | 4 | no | — |
| 527 | C2×Q8 | — | 3 | 1 | no | — |
| 528 | C2×Q8 | — | 6 | 1 | no | — |
| 529 | C2×Q8 | — | 6 | 1 | no | — |
| 530 | C2×Q8 | — | 6 | 1 | no | — |
| 531 | C2×Q8 | — | 6 | 2 | no | — |
| 532 | C2×Q8 | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 533 | C22×C4 | — | 3 | 1 | no | — |
| 534 | C22×C4 | — | 3 | 1 | no | — |
| 535 | C22×C4 | — | 3 | 1 | no | — |
| 536 | C22×C4 | — | 6 | 1 | no | — |
| 537 | C22×C4 | — | 6 | 1 | no | — |
| 538 | M16 | — | 6 | 2 | no | — |
| 539 | M16 | — | 6 | 2 | no | — |
| 540 | C2×C8 | — | 3 | 1 | no | — |
| 541 | C2×C8 | — | 3 | 1 | no | — |
| 542 | C2×C8 | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 543 | C2×C8 | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 544 | C4⋊C4 | — | 2 | 1 | no | — |
| 545 | C4⋊C4 | — | 2 | 1 | no | — |
| 546 | C4⋊C4 | — | 2 | 1 | no | — |
| 547 | C4⋊C4 | — | 3 | 1 | no | — |
| 548 | C4⋊C4 | — | 3 | 1 | no | — |
| 549 | C4⋊C4 | — | 3 | 1 | no | — |
| 550 | C4⋊C4 | — | 6 | 1 | no | — |
| 551 | C4⋊C4 | — | 6 | 1 | no | — |
| 552 | C4⋊C4 | — | 6 | 1 | no | — |
| 553 | C4⋊C4 | — | 6 | 1 | no | — |
| 554 | C4⋊C4 | — | 6 | 1 | no | — |
| 555 | C4⋊C4 | — | 6 | 1 | no | — |
| 556 | C4⋊C4 | — | 6 | 1 | no | — |
| 557 | C4⋊C4 | — | 6 | 1 | no | — |
| 558 | C4⋊C4 | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 559 | C4⋊C4 | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 560 | C4⋊C4 | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 561 | C22⋊C4 | — | 6 | 1 | no | — |
| 562 | C22⋊C4 | — | 6 | 1 | no | — |
| 563 | C42 | — | 2 | 1 | no | — |
| 564 | C42 | — | 3 | 1 | no | — |
| 565 | C42 | — | 3 | 1 | no | — |
| 566 | C42 | — | 3 | 1 | no | — |
| 567 | C42 | — | 6 | 1 | no | — |
| 568 | C42 | — | 6 | 1 | no | — |
| 569 | C42 | — | 6 | 1 | no | — |
| 570 | C42 | — | 6 | 1 | no | — |
| 571 | C42 | — | 6 | 1 | no | — |
| 572 | C42 | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 573 | C22×C3 | — | 2 | 1 | no | — |
| 574 | C22×C3 | — | 3 | 2 | no | — |
| 575 | C22×C3 | — | 6 | 1 | no | — |
| 576 | C22×C3 | — | 6 | 1 | no | — |
| 577 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 578 | C22×C3 | C22×C3×D4 | 1 | 1 | yes | characteristic |
| 579 | C2×D3 | — | 2 | 1 | no | — |
| 580 | C2×D3 | — | 2 | 1 | no | — |
| 581 | C2×D3 | C3×C22⋊Q8 | 1 | 2 | yes | — |
| 582 | C3×C4 | — | 2 | 1 | no | — |
| 583 | C3×C4 | — | 2 | 1 | no | — |
| 584 | C3×C4 | — | 2 | 1 | no | — |
| 585 | C3×C4 | — | 2 | 1 | no | — |
| 586 | C3×C4 | — | 2 | 2 | no | — |
| 587 | C3×C4 | — | 2 | 2 | no | — |
| 588 | C3×C4 | — | 2 | 1 | no | — |
| 589 | C3×C4 | — | 2 | 1 | no | — |
| 590 | C3×C4 | — | 3 | 2 | no | — |
| 591 | C3×C4 | — | 3 | 2 | no | — |
| 592 | C3×C4 | — | 4 | 1 | no | — |
| 593 | C3×C4 | — | 4 | 1 | no | — |
| 594 | C3×C4 | — | 4 | 2 | no | — |
| 595 | C3×C4 | — | 4 | 1 | no | — |
| 596 | C3×C4 | — | 4 | 1 | no | — |
| 597 | C3×C4 | — | 4 | 1 | no | — |
| 598 | C3×C4 | — | 4 | 1 | no | — |
| 599 | C3×C4 | — | 4 | 1 | no | — |
| 600 | C3×C4 | — | 4 | 1 | no | — |
| 601 | C3×C4 | — | 6 | 1 | no | — |
| 602 | C3×C4 | — | 6 | 2 | no | — |
| 603 | C3×C4 | — | 8 | 1 | no | — |
| 604 | C3×C4 | — | 8 | 1 | no | — |
| 605 | C3×C4 | — | 8 | 1 | no | — |
| 606 | C3×C4 | — | 12 | 1 | no | — |
| 607 | C3×C4 | — | 12 | 1 | no | — |
| 608 | C3×C4 | — | 12 | 1 | no | — |
| 609 | C3×C4 | C2×D3×Q8 | 1 | 1 | yes | characteristic |
| 610 | C3×C4 | D3×#41 | 1 | 1 | yes | characteristic |
| 611 | C3×C4 | C22×C3×Q8 | 1 | 1 | yes | characteristic |
| 612 | C3×C4 | C2×C3×#41 | 1 | 1 | yes | characteristic |
| 613 | Dic3 | — | 2 | 1 | no | — |
| 614 | Dic3 | — | 2 | 2 | no | — |
| 615 | Dic3 | — | 4 | 1 | no | — |
| 616 | Dic3 | — | 4 | 1 | no | — |
| 617 | Dic3 | — | 4 | 1 | no | — |
| 618 | Dic3 | C3×C22⋊Q8 | 1 | 2 | yes | — |
| 619 | Dic3 | C3×#137 | 1 | 2 | yes | — |
| 620 | C32 | #3078 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 621 | C23 | — | 3 | 1 | no | — |
| 622 | Q8 | — | 2 | 1 | no | — |
| 623 | Q8 | — | 3 | 2 | no | — |
| 624 | Q8 | — | 6 | 4 | no | — |
| 625 | Q8 | — | 6 | 1 | no | — |
| 626 | Q8 | — | 12 | 2 | no | — |
| 627 | Q8 | — | 12 | 2 | no | — |
| 628 | Q8 | C3×D3×Q8 | 1 | 2 | yes | — |
| 629 | C2×C4 | — | 2 | 1 | no | — |
| 630 | C2×C4 | — | 2 | 1 | no | — |
| 631 | C2×C4 | — | 2 | 1 | no | — |
| 632 | C2×C4 | — | 2 | 1 | no | — |
| 633 | C2×C4 | — | 3 | 1 | no | — |
| 634 | C2×C4 | — | 3 | 1 | no | — |
| 635 | C2×C4 | — | 3 | 2 | no | — |
| 636 | C2×C4 | — | 3 | 2 | no | — |
| 637 | C2×C4 | — | 3 | 1 | no | — |
| 638 | C2×C4 | — | 6 | 2 | no | — |
| 639 | C2×C4 | — | 6 | 4 | no | — |
| 640 | C2×C4 | — | 6 | 1 | no | — |
| 641 | C2×C4 | — | 6 | 1 | no | — |
| 642 | C2×C4 | — | 6 | 1 | no | — |
| 643 | C2×C4 | — | 6 | 1 | no | — |
| 644 | C2×C4 | — | 12 | 1 | no | — |
| 645 | C2×C4 | — | 12 | 2 | no | — |
| 646 | C2×C4 | C3×D3×D4 | 1 | 1 | yes | characteristic |
| 647 | C2×C4 | C3×D3×D4 | 1 | 1 | yes | characteristic |
| 648 | C2×C4 | C23×C3×D3 | 1 | 1 | yes | characteristic |
| 649 | C8 | — | 2 | 1 | no | — |
| 650 | C8 | — | 2 | 1 | no | — |
| 651 | C8 | — | 6 | 1 | no | — |
| 652 | C8 | — | 6 | 1 | no | — |
| 653 | C2×C3 | — | 2 | 1 | no | — |
| 654 | C2×C3 | — | 2 | 1 | no | — |
| 655 | C2×C3 | — | 2 | 1 | no | — |
| 656 | C2×C3 | — | 6 | 2 | no | — |
| 657 | C2×C3 | D3×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 658 | C2×C3 | #5768 | 1 | 1 | yes | characteristic |
| 659 | C2×C3 | D3×#137 | 1 | 1 | yes | characteristic |
| 660 | C2×C3 | C2×C3×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 661 | C2×C3 | C2×C3×#137 | 1 | 1 | yes | characteristic |
| 662 | C2×C3 | C3×#575 | 1 | 1 | yes | characteristic |
| 663 | D3 | — | 2 | 2 | no | — |
| 664 | C22 | — | 3 | 2 | no | — |
| 665 | C22 | — | 6 | 1 | no | — |
| 666 | C22 | — | 6 | 1 | no | — |
| 667 | C22 | C2×C3×D3×D4 | 1 | 1 | yes | characteristic |
| 668 | C4 | — | 2 | 1 | no | — |
| 669 | C4 | — | 2 | 1 | no | — |
| 670 | C4 | — | 2 | 2 | no | — |
| 671 | C4 | — | 3 | 2 | no | — |
| 672 | C4 | — | 3 | 2 | no | — |
| 673 | C4 | — | 4 | 1 | no | — |
| 674 | C4 | — | 4 | 1 | no | — |
| 675 | C4 | — | 4 | 1 | no | — |
| 676 | C4 | — | 6 | 1 | no | — |
| 677 | C4 | — | 6 | 2 | no | — |
| 678 | C4 | — | 12 | 1 | no | — |
| 679 | C4 | — | 12 | 1 | no | — |
| 680 | C4 | — | 12 | 1 | no | — |
| 681 | C4 | C2×C3×D3×Q8 | 1 | 1 | yes | characteristic |
| 682 | C4 | C3×D3×#41 | 1 | 1 | yes | characteristic |
| 683 | C3 | — | 2 | 1 | no | — |
| 684 | C3 | #81230 | 1 | 1 | yes | characteristic, direct product factor |
| 685 | C3 | C3×#3078 | 1 | 1 | yes | characteristic, complemented |
| 686 | C2 | — | 6 | 2 | no | — |
| 687 | C2 | C3×D3×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 688 | C2 | C3×#5768 | 1 | 1 | yes | characteristic |
| 689 | C2 | C3×D3×#137 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta