| 1 | D4×#1220 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C22×#6716 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#91800 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11756357 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×C5×#447 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11751259 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11751255 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11751254 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11751139 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11750881 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11750877 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11750863 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11750858 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11750839 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11750831 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10611756 | — | 3 | 1 | no | maximal, Hall |
| 17 | C22×C3×C5×D4 | C22 | 1 | 1 | yes | characteristic |
| 18 | C22×#1220 | — | 2 | 1 | no | — |
| 19 | C2×#6819 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C2×D4×D15 | C22 | 1 | 1 | yes | characteristic |
| 21 | C22×Dic30 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C2×C3×C5×D8 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×C3×C5×D8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C3×C5×#121 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #91842 | — | 2 | 1 | no | — |
| 26 | #91829 | C22 | 1 | 1 | yes | characteristic |
| 27 | #91828 | — | 2 | 1 | no | — |
| 28 | #91828 | — | 2 | 1 | no | — |
| 29 | #91827 | C22 | 1 | 1 | yes | characteristic |
| 30 | #91826 | — | 2 | 1 | no | — |
| 31 | #91825 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | D4×Dic15 | — | 2 | 1 | no | — |
| 33 | D4×Dic15 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×#6716 | — | 2 | 4 | no | — |
| 35 | C2×#6716 | C22 | 1 | 1 | yes | characteristic |
| 36 | C2×#6716 | C22 | 1 | 1 | yes | characteristic |
| 37 | C2×#6716 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | C2×#6716 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | C2×#6715 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #91819 | C22 | 1 | 1 | yes | characteristic |
| 41 | C4×#1220 | C22 | 1 | 1 | yes | characteristic |
| 42 | C22×C3⋊#168 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #91800 | — | 2 | 4 | no | — |
| 44 | C2×#6706 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C2×#6706 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | C2×#6705 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #91786 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #91776 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #91774 | — | 2 | 1 | no | — |
| 50 | #91767 | — | 2 | 1 | no | — |
| 51 | C3×C5×#102 | C22 | 1 | 1 | yes | characteristic |
| 52 | C3×C5×#102 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | C3×C5×C22⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #91116 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #91104 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #91100 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #91100 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #91099 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #91098 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #91093 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #91091 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | #80025 | — | 5 | 1 | no | maximal, Hall |
| 63 | D4×C22⋊D5 | — | 3 | 1 | no | — |
| 64 | C22×#687 | — | 3 | 1 | no | — |
| 65 | C2×#4057 | — | 3 | 1 | no | — |
| 66 | #65932 | — | 3 | 1 | no | — |
| 67 | C5×#447 | D3 | 1 | 1 | yes | characteristic, complemented |
| 68 | #65447 | — | 3 | 1 | no | — |
| 69 | #65443 | — | 3 | 1 | no | — |
| 70 | #65442 | — | 3 | 1 | no | — |
| 71 | #65327 | — | 3 | 1 | no | — |
| 72 | #65069 | — | 3 | 1 | no | — |
| 73 | #65065 | — | 3 | 1 | no | — |
| 74 | #65051 | — | 3 | 1 | no | — |
| 75 | #65046 | — | 3 | 1 | no | — |
| 76 | #65027 | — | 3 | 1 | no | — |
| 77 | #65019 | — | 3 | 1 | no | — |
| 78 | C24×C3×C5 | — | 2 | 1 | no | — |
| 79 | C23×D15 | — | 2 | 1 | no | — |
| 80 | C2×C3×C5×D4 | — | 2 | 2 | no | — |
| 81 | C2×C3×C5×D4 | — | 2 | 1 | no | — |
| 82 | C2×C3×C5×D4 | — | 2 | 1 | no | — |
| 83 | C2×C3×C5×D4 | — | 4 | 1 | no | — |
| 84 | C2×C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 87 | C22×C3×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 88 | C2×#1220 | — | 2 | 1 | no | — |
| 89 | C2×#1220 | — | 2 | 1 | no | — |
| 90 | C2×#1220 | — | 2 | 1 | no | — |
| 91 | C2×#1220 | — | 2 | 1 | no | — |
| 92 | C2×#1220 | — | 2 | 1 | no | — |
| 93 | C2×#1220 | — | 2 | 1 | no | — |
| 94 | C2×#1220 | — | 4 | 4 | no | — |
| 95 | C2×#1220 | D4 | 1 | 1 | yes | characteristic |
| 96 | C22×Dic15 | — | 2 | 1 | no | — |
| 97 | C22×Dic15 | — | 2 | 1 | no | — |
| 98 | C22×Dic15 | — | 2 | 1 | no | — |
| 99 | #6819 | — | 2 | 2 | no | — |
| 100 | #6819 | — | 4 | 1 | no | — |
| 101 | D4×D15 | — | 2 | 2 | no | — |
| 102 | D4×D15 | — | 4 | 1 | no | — |
| 103 | C2×D60 | C23 | 1 | 1 | yes | characteristic |
| 104 | C2×C4×D15 | C23 | 1 | 1 | yes | characteristic |
| 105 | C2×Dic30 | — | 2 | 2 | no | — |
| 106 | C2×Dic30 | — | 2 | 1 | no | — |
| 107 | C2×Dic30 | — | 4 | 1 | no | — |
| 108 | C2×Dic30 | C23 | 1 | 1 | yes | characteristic |
| 109 | C2×Dic30 | C23 | 1 | 1 | yes | characteristic |
| 110 | C3×C5×D8 | — | 2 | 2 | no | — |
| 111 | C3×C5×D8 | — | 4 | 1 | no | — |
| 112 | C2×C3×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 113 | C2×C3×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 114 | C3×C5×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 115 | C3×C5×C22⋊C4 | — | 2 | 1 | no | — |
| 116 | #6719 | — | 2 | 1 | no | — |
| 117 | #6719 | — | 2 | 1 | no | — |
| 118 | #6719 | — | 2 | 1 | no | — |
| 119 | #6719 | — | 2 | 1 | no | — |
| 120 | #6719 | D4 | 1 | 1 | yes | characteristic |
| 121 | #6716 | — | 2 | 2 | no | — |
| 122 | #6716 | — | 2 | 2 | no | — |
| 123 | #6716 | — | 2 | 2 | no | — |
| 124 | #6716 | D4 | 1 | 4 | yes | complemented |
| 125 | #6715 | — | 2 | 2 | no | — |
| 126 | #6714 | — | 2 | 1 | no | — |
| 127 | #6714 | — | 2 | 1 | no | — |
| 128 | #6714 | D4 | 1 | 1 | yes | characteristic |
| 129 | C4⋊Dic15 | — | 2 | 1 | no | — |
| 130 | C4⋊Dic15 | C23 | 1 | 1 | yes | characteristic |
| 131 | #6712 | — | 2 | 1 | no | — |
| 132 | #6712 | D4 | 1 | 1 | yes | characteristic |
| 133 | C4×Dic15 | — | 2 | 1 | no | — |
| 134 | C4×Dic15 | C23 | 1 | 1 | yes | characteristic |
| 135 | C2×C3⋊#168 | — | 2 | 2 | no | — |
| 136 | C2×C3⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 137 | C2×C3⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 138 | #6706 | — | 2 | 2 | no | — |
| 139 | #6706 | — | 4 | 1 | no | — |
| 140 | #6705 | — | 2 | 2 | no | — |
| 141 | D4×#67 | — | 5 | 1 | no | — |
| 142 | C22×#214 | — | 5 | 1 | no | — |
| 143 | C2×#911 | — | 5 | 1 | no | — |
| 144 | #5598 | — | 5 | 1 | no | — |
| 145 | C3×#447 | D5 | 1 | 1 | yes | characteristic, complemented |
| 146 | #5158 | — | 5 | 1 | no | — |
| 147 | #5154 | — | 5 | 1 | no | — |
| 148 | #5153 | — | 5 | 1 | no | — |
| 149 | #5038 | — | 5 | 1 | no | — |
| 150 | #4780 | — | 5 | 1 | no | — |
| 151 | #4776 | — | 5 | 1 | no | — |
| 152 | #4762 | — | 5 | 1 | no | — |
| 153 | #4757 | — | 5 | 1 | no | — |
| 154 | #4738 | — | 5 | 1 | no | — |
| 155 | #4730 | — | 5 | 1 | no | — |
| 156 | C22×C5×D4 | C2×D3 | 1 | 1 | yes | characteristic |
| 157 | C22×C22⋊D5 | — | 6 | 1 | no | — |
| 158 | C2×#711 | — | 3 | 1 | no | — |
| 159 | C2×D4×D5 | — | 3 | 1 | no | — |
| 160 | C22×Dic10 | — | 3 | 1 | no | — |
| 161 | C2×C5×D8 | C2×D3 | 1 | 1 | yes | characteristic |
| 162 | C2×C5×D8 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 163 | C5×#121 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 164 | #4099 | — | 6 | 1 | no | — |
| 165 | #4086 | — | 3 | 1 | no | — |
| 166 | #4085 | — | 6 | 1 | no | — |
| 167 | #4085 | — | 6 | 1 | no | — |
| 168 | #4084 | — | 3 | 1 | no | — |
| 169 | #4083 | — | 6 | 1 | no | — |
| 170 | #4082 | — | 3 | 1 | no | — |
| 171 | D4×Dic5 | — | 3 | 1 | no | — |
| 172 | D4×Dic5 | — | 6 | 1 | no | — |
| 173 | C2×#687 | — | 3 | 1 | no | — |
| 174 | C2×#687 | — | 3 | 1 | no | — |
| 175 | C2×#687 | — | 3 | 1 | no | — |
| 176 | C2×#687 | — | 3 | 1 | no | — |
| 177 | C2×#687 | — | 6 | 4 | no | — |
| 178 | C2×#686 | — | 3 | 1 | no | — |
| 179 | #4076 | — | 3 | 1 | no | — |
| 180 | C4×C22⋊D5 | — | 3 | 1 | no | — |
| 181 | C22×#168 | — | 3 | 1 | no | — |
| 182 | #4057 | — | 6 | 4 | no | — |
| 183 | C2×#677 | — | 3 | 1 | no | — |
| 184 | C2×#677 | — | 3 | 1 | no | — |
| 185 | C2×#676 | — | 3 | 1 | no | — |
| 186 | #4043 | — | 3 | 1 | no | — |
| 187 | #4033 | — | 3 | 1 | no | — |
| 188 | #4031 | — | 6 | 1 | no | — |
| 189 | #4024 | — | 6 | 1 | no | — |
| 190 | C5×#102 | C2×D3 | 1 | 1 | yes | characteristic |
| 191 | C5×#102 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 192 | C5×C22⋊C8 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 193 | #3964 | — | 3 | 1 | no | — |
| 194 | #3952 | — | 3 | 1 | no | — |
| 195 | #3948 | — | 3 | 1 | no | — |
| 196 | #3948 | — | 3 | 1 | no | — |
| 197 | #3947 | — | 3 | 1 | no | — |
| 198 | #3946 | — | 3 | 1 | no | — |
| 199 | #3941 | — | 3 | 1 | no | — |
| 200 | #3939 | — | 3 | 1 | no | — |
| 201 | #3265 | — | 15 | 1 | no | Sylow |
| 202 | C23×C3×C5 | — | 2 | 1 | no | — |
| 203 | C23×C3×C5 | — | 2 | 1 | no | — |
| 204 | C23×C3×C5 | — | 2 | 1 | no | — |
| 205 | C23×C3×C5 | — | 4 | 2 | no | — |
| 206 | C23×C3×C5 | — | 4 | 2 | no | — |
| 207 | C23×C3×C5 | — | 8 | 1 | no | — |
| 208 | C23×C3×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 209 | C22×D15 | — | 2 | 1 | no | — |
| 210 | C22×D15 | — | 4 | 2 | no | — |
| 211 | C22×D15 | — | 4 | 2 | no | — |
| 212 | C22×D15 | — | 8 | 1 | no | — |
| 213 | C22×D15 | C2×D4 | 1 | 1 | yes | characteristic |
| 214 | C3×C5×D4 | — | 2 | 1 | no | — |
| 215 | C3×C5×D4 | — | 2 | 1 | no | — |
| 216 | C3×C5×D4 | — | 2 | 1 | no | — |
| 217 | C3×C5×D4 | — | 2 | 1 | no | — |
| 218 | C3×C5×D4 | — | 2 | 1 | no | — |
| 219 | C3×C5×D4 | — | 4 | 2 | no | — |
| 220 | C3×C5×D4 | — | 4 | 2 | no | — |
| 221 | C3×C5×D4 | C2×D4 | 1 | 2 | yes | — |
| 222 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 223 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 224 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 225 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 226 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 227 | #1220 | — | 2 | 2 | no | — |
| 228 | #1220 | — | 4 | 2 | no | — |
| 229 | #1220 | — | 4 | 2 | no | — |
| 230 | #1220 | — | 4 | 2 | no | — |
| 231 | #1220 | — | 4 | 2 | no | — |
| 232 | #1220 | — | 4 | 2 | no | — |
| 233 | #1220 | — | 8 | 1 | no | — |
| 234 | C2×Dic15 | — | 2 | 1 | no | — |
| 235 | C2×Dic15 | — | 2 | 1 | no | — |
| 236 | C2×Dic15 | — | 2 | 1 | no | — |
| 237 | C2×Dic15 | — | 4 | 2 | no | — |
| 238 | C2×Dic15 | — | 4 | 2 | no | — |
| 239 | C2×Dic15 | — | 4 | 2 | no | — |
| 240 | C2×Dic15 | C2×D4 | 1 | 1 | yes | characteristic |
| 241 | C2×Dic15 | C2×D4 | 1 | 1 | yes | characteristic |
| 242 | C2×Dic15 | C2×D4 | 1 | 1 | yes | characteristic |
| 243 | D60 | — | 2 | 1 | no | — |
| 244 | D60 | — | 2 | 1 | no | — |
| 245 | C4×D15 | — | 2 | 1 | no | — |
| 246 | C4×D15 | — | 2 | 1 | no | — |
| 247 | Dic30 | — | 2 | 1 | no | — |
| 248 | Dic30 | — | 2 | 1 | no | — |
| 249 | Dic30 | — | 2 | 1 | no | — |
| 250 | Dic30 | — | 4 | 2 | no | — |
| 251 | Dic30 | C2×D4 | 1 | 2 | yes | complemented |
| 252 | C3×C5×C8 | — | 2 | 1 | no | — |
| 253 | C3×C5×C8 | — | 2 | 1 | no | — |
| 254 | C3⋊#168 | — | 2 | 1 | no | — |
| 255 | C3⋊#168 | C2×D4 | 1 | 2 | yes | complemented |
| 256 | C22×C3×D4 | C2×D5 | 1 | 1 | yes | characteristic |
| 257 | C22×#67 | — | 10 | 1 | no | — |
| 258 | C2×#237 | — | 5 | 1 | no | — |
| 259 | C2×D3×D4 | — | 5 | 1 | no | — |
| 260 | C22×Dic6 | — | 5 | 1 | no | — |
| 261 | C2×C3×D8 | C2×D5 | 1 | 1 | yes | characteristic |
| 262 | C2×C3×D8 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 263 | C3×#121 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 264 | #953 | — | 10 | 1 | no | — |
| 265 | #940 | — | 5 | 1 | no | — |
| 266 | #939 | — | 10 | 1 | no | — |
| 267 | #939 | — | 10 | 1 | no | — |
| 268 | #938 | — | 5 | 1 | no | — |
| 269 | #937 | — | 10 | 1 | no | — |
| 270 | #936 | — | 5 | 1 | no | — |
| 271 | D4×Dic3 | — | 5 | 1 | no | — |
| 272 | D4×Dic3 | — | 10 | 1 | no | — |
| 273 | C2×#214 | — | 5 | 1 | no | — |
| 274 | C2×#214 | — | 5 | 1 | no | — |
| 275 | C2×#214 | — | 5 | 1 | no | — |
| 276 | C2×#214 | — | 5 | 1 | no | — |
| 277 | C2×#214 | — | 10 | 4 | no | — |
| 278 | C2×#213 | — | 5 | 1 | no | — |
| 279 | #930 | — | 5 | 1 | no | — |
| 280 | C4×#67 | — | 5 | 1 | no | — |
| 281 | C22×C3⋊C8 | — | 5 | 1 | no | — |
| 282 | #911 | — | 10 | 4 | no | — |
| 283 | C2×#204 | — | 5 | 1 | no | — |
| 284 | C2×#204 | — | 5 | 1 | no | — |
| 285 | C2×ΓL(1,𝔽25) | — | 5 | 1 | no | — |
| 286 | #897 | — | 5 | 1 | no | — |
| 287 | #887 | — | 5 | 1 | no | — |
| 288 | #885 | — | 10 | 1 | no | — |
| 289 | #878 | — | 10 | 1 | no | — |
| 290 | C3×#102 | C2×D5 | 1 | 1 | yes | characteristic |
| 291 | C3×#102 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 292 | C3×C22⋊C8 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 293 | #832 | — | 5 | 1 | no | — |
| 294 | (C2×D3)⋊C8 | — | 5 | 1 | no | — |
| 295 | #816 | — | 5 | 1 | no | — |
| 296 | #816 | — | 5 | 1 | no | — |
| 297 | #815 | — | 5 | 1 | no | — |
| 298 | Dic3⋊C8 | — | 5 | 1 | no | — |
| 299 | #809 | — | 5 | 1 | no | — |
| 300 | #807 | — | 5 | 1 | no | — |
| 301 | C24×C5 | — | 2 | 1 | no | — |
| 302 | C23×D5 | — | 6 | 1 | no | — |
| 303 | C2×C5×D4 | — | 2 | 2 | no | — |
| 304 | C2×C5×D4 | — | 2 | 1 | no | — |
| 305 | C2×C5×D4 | — | 2 | 1 | no | — |
| 306 | C2×C5×D4 | — | 4 | 1 | no | — |
| 307 | C2×C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 308 | C2×C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 309 | C2×C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 310 | C22×C4×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 311 | C2×C22⋊D5 | — | 3 | 1 | no | — |
| 312 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 313 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 314 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 315 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 316 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 317 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 318 | C2×C22⋊D5 | — | 12 | 4 | no | — |
| 319 | C22×Dic5 | — | 6 | 1 | no | — |
| 320 | C22×Dic5 | — | 6 | 1 | no | — |
| 321 | C22×Dic5 | — | 6 | 1 | no | — |
| 322 | #711 | — | 6 | 2 | no | — |
| 323 | #711 | — | 12 | 1 | no | — |
| 324 | D4×D5 | — | 6 | 2 | no | — |
| 325 | D4×D5 | — | 12 | 1 | no | — |
| 326 | C2×D20 | — | 3 | 1 | no | — |
| 327 | C2×C4×D5 | — | 3 | 1 | no | — |
| 328 | C2×Dic10 | — | 3 | 1 | no | — |
| 329 | C2×Dic10 | — | 3 | 1 | no | — |
| 330 | C2×Dic10 | — | 6 | 2 | no | — |
| 331 | C2×Dic10 | — | 6 | 1 | no | — |
| 332 | C2×Dic10 | — | 12 | 1 | no | — |
| 333 | C5×D8 | — | 2 | 2 | no | — |
| 334 | C5×D8 | — | 4 | 1 | no | — |
| 335 | C2×C5×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 336 | C2×C5×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 337 | C5×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 338 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 339 | C22⋊Dic5 | — | 3 | 1 | no | — |
| 340 | C22⋊Dic5 | — | 6 | 1 | no | — |
| 341 | C22⋊Dic5 | — | 6 | 1 | no | — |
| 342 | C22⋊Dic5 | — | 6 | 1 | no | — |
| 343 | C22⋊Dic5 | — | 6 | 1 | no | — |
| 344 | #687 | — | 3 | 4 | no | — |
| 345 | #687 | — | 6 | 2 | no | — |
| 346 | #687 | — | 6 | 2 | no | — |
| 347 | #687 | — | 6 | 2 | no | — |
| 348 | #686 | — | 6 | 2 | no | — |
| 349 | #685 | — | 3 | 1 | no | — |
| 350 | #685 | — | 6 | 1 | no | — |
| 351 | #685 | — | 6 | 1 | no | — |
| 352 | C4⋊Dic5 | — | 3 | 1 | no | — |
| 353 | C4⋊Dic5 | — | 6 | 1 | no | — |
| 354 | #683 | — | 3 | 1 | no | — |
| 355 | #683 | — | 6 | 1 | no | — |
| 356 | C4×Dic5 | — | 3 | 1 | no | — |
| 357 | C4×Dic5 | — | 6 | 1 | no | — |
| 358 | C2×#168 | — | 3 | 1 | no | — |
| 359 | C2×#168 | — | 3 | 1 | no | — |
| 360 | C2×#168 | — | 6 | 2 | no | — |
| 361 | #677 | — | 6 | 2 | no | — |
| 362 | #677 | — | 12 | 1 | no | — |
| 363 | #676 | — | 6 | 2 | no | — |
| 364 | C2×AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 365 | C22×SD16 | — | 15 | 1 | no | — |
| 366 | #548 | — | 15 | 1 | no | — |
| 367 | D42 | — | 15 | 1 | no | — |
| 368 | #496 | — | 15 | 1 | no | — |
| 369 | #468 | — | 15 | 1 | no | — |
| 370 | #466 | — | 15 | 1 | no | — |
| 371 | #463 | — | 15 | 1 | no | — |
| 372 | #460 | — | 15 | 1 | no | — |
| 373 | #450 | — | 15 | 1 | no | — |
| 374 | #449 | — | 15 | 1 | no | — |
| 375 | #448 | — | 15 | 1 | no | — |
| 376 | #447 | D15 | 1 | 1 | yes | characteristic, complemented |
| 377 | #440 | — | 15 | 1 | no | — |
| 378 | #435 | — | 15 | 1 | no | — |
| 379 | C22×C3×C5 | — | 2 | 1 | no | — |
| 380 | C22×C3×C5 | — | 2 | 1 | no | — |
| 381 | C22×C3×C5 | — | 2 | 2 | no | — |
| 382 | C22×C3×C5 | — | 4 | 1 | no | — |
| 383 | C22×C3×C5 | — | 4 | 1 | no | — |
| 384 | C22×C3×C5 | — | 4 | 1 | no | — |
| 385 | C22×C3×C5 | — | 4 | 1 | no | — |
| 386 | C22×C3×C5 | — | 4 | 1 | no | — |
| 387 | C22×C3×C5 | — | 4 | 1 | no | — |
| 388 | C22×C3×C5 | — | 4 | 1 | no | — |
| 389 | C22×C3×C5 | — | 4 | 1 | no | — |
| 390 | C22×C3×C5 | — | 8 | 4 | no | — |
| 391 | C22×C3×C5 | AGL(1,ℤ/8) | 1 | 2 | yes | complemented |
| 392 | C22×C3×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 393 | C2×D15 | — | 2 | 1 | no | — |
| 394 | C2×D15 | — | 2 | 1 | no | — |
| 395 | C2×D15 | — | 2 | 1 | no | — |
| 396 | C2×D15 | — | 4 | 1 | no | — |
| 397 | C2×D15 | — | 4 | 1 | no | — |
| 398 | C2×D15 | — | 4 | 1 | no | — |
| 399 | C2×D15 | — | 8 | 4 | no | — |
| 400 | C3×C4×C5 | — | 2 | 1 | no | — |
| 401 | C3×C4×C5 | — | 4 | 1 | no | — |
| 402 | C3×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 403 | C3×C4×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 404 | Dic15 | — | 2 | 2 | no | — |
| 405 | Dic15 | — | 2 | 1 | no | — |
| 406 | Dic15 | — | 2 | 1 | no | — |
| 407 | Dic15 | — | 2 | 1 | no | — |
| 408 | Dic15 | — | 4 | 1 | no | — |
| 409 | Dic15 | — | 4 | 1 | no | — |
| 410 | C24×C3 | — | 2 | 1 | no | — |
| 411 | C23×D3 | — | 10 | 1 | no | — |
| 412 | C2×C3×D4 | — | 2 | 2 | no | — |
| 413 | C2×C3×D4 | — | 2 | 1 | no | — |
| 414 | C2×C3×D4 | — | 2 | 1 | no | — |
| 415 | C2×C3×D4 | — | 4 | 1 | no | — |
| 416 | C2×C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 417 | C2×C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 418 | C2×C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 419 | C22×C3×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 420 | C2×#67 | — | 5 | 1 | no | — |
| 421 | C2×#67 | — | 10 | 1 | no | — |
| 422 | C2×#67 | — | 10 | 1 | no | — |
| 423 | C2×#67 | — | 10 | 1 | no | — |
| 424 | C2×#67 | — | 10 | 1 | no | — |
| 425 | C2×#67 | — | 10 | 1 | no | — |
| 426 | C2×#67 | — | 10 | 1 | no | — |
| 427 | C2×#67 | — | 20 | 4 | no | — |
| 428 | C22×Dic3 | — | 10 | 1 | no | — |
| 429 | C22×Dic3 | — | 10 | 1 | no | — |
| 430 | C22×Dic3 | — | 10 | 1 | no | — |
| 431 | #237 | — | 10 | 2 | no | — |
| 432 | #237 | — | 20 | 1 | no | — |
| 433 | D3×D4 | — | 10 | 2 | no | — |
| 434 | D3×D4 | — | 20 | 1 | no | — |
| 435 | C2×D12 | — | 5 | 1 | no | — |
| 436 | C2×C4×D3 | — | 5 | 1 | no | — |
| 437 | C2×Dic6 | — | 5 | 1 | no | — |
| 438 | C2×Dic6 | — | 5 | 1 | no | — |
| 439 | C2×Dic6 | — | 10 | 2 | no | — |
| 440 | C2×Dic6 | — | 10 | 1 | no | — |
| 441 | C2×Dic6 | — | 20 | 1 | no | — |
| 442 | C3×D8 | — | 2 | 2 | no | — |
| 443 | C3×D8 | — | 4 | 1 | no | — |
| 444 | C2×C3×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 445 | C2×C3×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 446 | C3×C4⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 447 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 448 | #217 | — | 5 | 1 | no | — |
| 449 | #217 | — | 10 | 1 | no | — |
| 450 | #217 | — | 10 | 1 | no | — |
| 451 | #217 | — | 10 | 1 | no | — |
| 452 | #217 | — | 10 | 1 | no | — |
| 453 | #214 | — | 5 | 4 | no | — |
| 454 | #214 | — | 10 | 2 | no | — |
| 455 | #214 | — | 10 | 2 | no | — |
| 456 | #214 | — | 10 | 2 | no | — |
| 457 | #213 | — | 10 | 2 | no | — |
| 458 | (C2×D3)⋊C4 | — | 5 | 1 | no | — |
| 459 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 460 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 461 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 462 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 463 | Dic3⋊C4 | — | 5 | 1 | no | — |
| 464 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 465 | C4×Dic3 | — | 5 | 1 | no | — |
| 466 | C4×Dic3 | — | 10 | 1 | no | — |
| 467 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 468 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 469 | C2×C3⋊C8 | — | 10 | 2 | no | — |
| 470 | #204 | — | 10 | 2 | no | — |
| 471 | #204 | — | 20 | 1 | no | — |
| 472 | ΓL(1,𝔽25) | — | 10 | 2 | no | — |
| 473 | C23×C5 | — | 2 | 1 | no | — |
| 474 | C23×C5 | — | 2 | 1 | no | — |
| 475 | C23×C5 | — | 2 | 1 | no | — |
| 476 | C23×C5 | — | 4 | 2 | no | — |
| 477 | C23×C5 | — | 4 | 2 | no | — |
| 478 | C23×C5 | — | 8 | 1 | no | — |
| 479 | C23×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 480 | C22×D5 | — | 3 | 1 | no | — |
| 481 | C22×D5 | — | 6 | 1 | no | — |
| 482 | C22×D5 | — | 12 | 2 | no | — |
| 483 | C22×D5 | — | 12 | 2 | no | — |
| 484 | C22×D5 | — | 24 | 1 | no | — |
| 485 | C5×D4 | — | 2 | 1 | no | — |
| 486 | C5×D4 | — | 2 | 1 | no | — |
| 487 | C5×D4 | — | 2 | 1 | no | — |
| 488 | C5×D4 | — | 2 | 1 | no | — |
| 489 | C5×D4 | — | 2 | 1 | no | — |
| 490 | C5×D4 | — | 4 | 2 | no | — |
| 491 | C5×D4 | — | 4 | 2 | no | — |
| 492 | C5×D4 | D3×D4 | 1 | 2 | yes | — |
| 493 | C2×C4×C5 | — | 2 | 1 | no | — |
| 494 | C2×C4×C5 | — | 2 | 1 | no | — |
| 495 | C2×C4×C5 | — | 2 | 1 | no | — |
| 496 | C2×C4×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 497 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 498 | C22⋊D5 | — | 6 | 2 | no | — |
| 499 | C22⋊D5 | — | 12 | 2 | no | — |
| 500 | C22⋊D5 | — | 12 | 2 | no | — |
| 501 | C22⋊D5 | — | 12 | 2 | no | — |
| 502 | C22⋊D5 | — | 12 | 2 | no | — |
| 503 | C22⋊D5 | — | 12 | 2 | no | — |
| 504 | C22⋊D5 | — | 24 | 1 | no | — |
| 505 | C2×Dic5 | — | 3 | 1 | no | — |
| 506 | C2×Dic5 | — | 3 | 1 | no | — |
| 507 | C2×Dic5 | — | 3 | 1 | no | — |
| 508 | C2×Dic5 | — | 6 | 1 | no | — |
| 509 | C2×Dic5 | — | 6 | 1 | no | — |
| 510 | C2×Dic5 | — | 6 | 1 | no | — |
| 511 | C2×Dic5 | — | 12 | 2 | no | — |
| 512 | C2×Dic5 | — | 12 | 2 | no | — |
| 513 | C2×Dic5 | — | 12 | 2 | no | — |
| 514 | D20 | — | 6 | 1 | no | — |
| 515 | D20 | — | 6 | 1 | no | — |
| 516 | C4×D5 | — | 6 | 1 | no | — |
| 517 | C4×D5 | — | 6 | 1 | no | — |
| 518 | Dic10 | — | 3 | 2 | no | — |
| 519 | Dic10 | — | 6 | 1 | no | — |
| 520 | Dic10 | — | 6 | 1 | no | — |
| 521 | Dic10 | — | 6 | 1 | no | — |
| 522 | Dic10 | — | 12 | 2 | no | — |
| 523 | C5×C8 | — | 2 | 1 | no | — |
| 524 | C5×C8 | — | 2 | 1 | no | — |
| 525 | #168 | — | 3 | 2 | no | — |
| 526 | #168 | — | 6 | 1 | no | — |
| 527 | C2×#41 | — | 15 | 1 | no | — |
| 528 | C22×Q8 | — | 15 | 1 | no | — |
| 529 | C22×D4 | — | 15 | 1 | no | — |
| 530 | C22×D4 | — | 30 | 1 | no | — |
| 531 | C22×D4 | C2×D15 | 1 | 1 | yes | characteristic |
| 532 | AGL(1,ℤ/8) | — | 30 | 4 | no | — |
| 533 | C2×SD16 | — | 15 | 1 | no | — |
| 534 | C2×SD16 | — | 15 | 1 | no | — |
| 535 | C2×SD16 | — | 15 | 1 | no | — |
| 536 | C2×SD16 | — | 15 | 1 | no | — |
| 537 | C2×SD16 | — | 15 | 1 | no | — |
| 538 | C2×SD16 | — | 15 | 1 | no | — |
| 539 | C2×SD16 | — | 30 | 4 | no | — |
| 540 | C2×D8 | — | 15 | 1 | no | — |
| 541 | C2×D8 | C2×D15 | 1 | 1 | yes | characteristic |
| 542 | C2×D8 | C2×D15 | 1 | 1 | yes | characteristic, complemented |
| 543 | C2×M16 | — | 15 | 1 | no | — |
| 544 | C22×C8 | — | 15 | 1 | no | — |
| 545 | #127 | — | 15 | 1 | no | — |
| 546 | #124 | — | 15 | 1 | no | — |
| 547 | #124 | — | 30 | 1 | no | — |
| 548 | C22⋊Q8 | — | 15 | 1 | no | — |
| 549 | C22⋊Q8 | — | 30 | 1 | no | — |
| 550 | #121 | — | 15 | 1 | no | — |
| 551 | #121 | — | 15 | 1 | no | — |
| 552 | #121 | — | 30 | 1 | no | — |
| 553 | #121 | — | 30 | 1 | no | — |
| 554 | #121 | C2×D15 | 1 | 1 | yes | characteristic, complemented |
| 555 | #120 | — | 30 | 1 | no | — |
| 556 | #120 | — | 30 | 1 | no | — |
| 557 | C4×Q8 | — | 15 | 1 | no | — |
| 558 | C4×D4 | — | 15 | 1 | no | — |
| 559 | C4×D4 | — | 15 | 1 | no | — |
| 560 | C4×D4 | — | 30 | 1 | no | — |
| 561 | #107 | — | 15 | 1 | no | — |
| 562 | C4⋊C8 | — | 15 | 1 | no | — |
| 563 | #103 | — | 15 | 1 | no | — |
| 564 | #103 | — | 15 | 1 | no | — |
| 565 | #102 | — | 15 | 1 | no | — |
| 566 | #102 | — | 15 | 1 | no | — |
| 567 | #102 | C2×D15 | 1 | 1 | yes | characteristic |
| 568 | #102 | C2×D15 | 1 | 1 | yes | characteristic, complemented |
| 569 | C22⋊C8 | — | 15 | 1 | no | — |
| 570 | C22⋊C8 | C2×D15 | 1 | 1 | yes | characteristic, complemented |
| 571 | #97 | — | 15 | 1 | no | — |
| 572 | C2×C3×C5 | — | 2 | 2 | no | — |
| 573 | C2×C3×C5 | — | 4 | 2 | no | — |
| 574 | C2×C3×C5 | — | 8 | 1 | no | — |
| 575 | C2×C3×C5 | — | 8 | 1 | no | — |
| 576 | C2×C3×C5 | D42 | 1 | 1 | yes | characteristic |
| 577 | C2×C3×C5 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 578 | C2×C3×C5 | #577 | 1 | 1 | yes | characteristic |
| 579 | D15 | — | 4 | 1 | no | — |
| 580 | D15 | — | 8 | 1 | no | — |
| 581 | C23×C3 | — | 2 | 1 | no | — |
| 582 | C23×C3 | — | 2 | 1 | no | — |
| 583 | C23×C3 | — | 2 | 1 | no | — |
| 584 | C23×C3 | — | 4 | 2 | no | — |
| 585 | C23×C3 | — | 4 | 2 | no | — |
| 586 | C23×C3 | — | 8 | 1 | no | — |
| 587 | C23×C3 | D4×D5 | 1 | 1 | yes | characteristic |
| 588 | C22×D3 | — | 5 | 1 | no | — |
| 589 | C22×D3 | — | 10 | 1 | no | — |
| 590 | C22×D3 | — | 20 | 2 | no | — |
| 591 | C22×D3 | — | 20 | 2 | no | — |
| 592 | C22×D3 | — | 40 | 1 | no | — |
| 593 | C3×D4 | — | 2 | 1 | no | — |
| 594 | C3×D4 | — | 2 | 1 | no | — |
| 595 | C3×D4 | — | 2 | 1 | no | — |
| 596 | C3×D4 | — | 2 | 1 | no | — |
| 597 | C3×D4 | — | 2 | 1 | no | — |
| 598 | C3×D4 | — | 4 | 2 | no | — |
| 599 | C3×D4 | — | 4 | 2 | no | — |
| 600 | C3×D4 | D4×D5 | 1 | 2 | yes | — |
| 601 | C2×C3×C4 | — | 2 | 1 | no | — |
| 602 | C2×C3×C4 | — | 2 | 1 | no | — |
| 603 | C2×C3×C4 | — | 2 | 1 | no | — |
| 604 | C2×C3×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 605 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 606 | #67 | — | 10 | 2 | no | — |
| 607 | #67 | — | 20 | 2 | no | — |
| 608 | #67 | — | 20 | 2 | no | — |
| 609 | #67 | — | 20 | 2 | no | — |
| 610 | #67 | — | 20 | 2 | no | — |
| 611 | #67 | — | 20 | 2 | no | — |
| 612 | #67 | — | 40 | 1 | no | — |
| 613 | C2×Dic3 | — | 5 | 1 | no | — |
| 614 | C2×Dic3 | — | 5 | 1 | no | — |
| 615 | C2×Dic3 | — | 5 | 1 | no | — |
| 616 | C2×Dic3 | — | 10 | 1 | no | — |
| 617 | C2×Dic3 | — | 10 | 1 | no | — |
| 618 | C2×Dic3 | — | 10 | 1 | no | — |
| 619 | C2×Dic3 | — | 20 | 2 | no | — |
| 620 | C2×Dic3 | — | 20 | 2 | no | — |
| 621 | C2×Dic3 | — | 20 | 2 | no | — |
| 622 | D12 | — | 10 | 1 | no | — |
| 623 | D12 | — | 10 | 1 | no | — |
| 624 | C4×D3 | — | 10 | 1 | no | — |
| 625 | C4×D3 | — | 10 | 1 | no | — |
| 626 | Dic6 | — | 5 | 2 | no | — |
| 627 | Dic6 | — | 10 | 1 | no | — |
| 628 | Dic6 | — | 10 | 1 | no | — |
| 629 | Dic6 | — | 10 | 1 | no | — |
| 630 | Dic6 | — | 20 | 2 | no | — |
| 631 | C3×C8 | — | 2 | 1 | no | — |
| 632 | C3×C8 | — | 2 | 1 | no | — |
| 633 | C3⋊C8 | — | 5 | 2 | no | — |
| 634 | C3⋊C8 | — | 10 | 1 | no | — |
| 635 | C22×C5 | — | 2 | 1 | no | — |
| 636 | C22×C5 | — | 2 | 1 | no | — |
| 637 | C22×C5 | — | 2 | 2 | no | — |
| 638 | C22×C5 | — | 4 | 1 | no | — |
| 639 | C22×C5 | — | 4 | 1 | no | — |
| 640 | C22×C5 | — | 4 | 1 | no | — |
| 641 | C22×C5 | — | 4 | 1 | no | — |
| 642 | C22×C5 | — | 4 | 1 | no | — |
| 643 | C22×C5 | — | 4 | 1 | no | — |
| 644 | C22×C5 | — | 4 | 1 | no | — |
| 645 | C22×C5 | — | 4 | 1 | no | — |
| 646 | C22×C5 | — | 8 | 4 | no | — |
| 647 | C22×C5 | #911 | 1 | 2 | yes | complemented |
| 648 | C22×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 649 | C2×D5 | — | 6 | 1 | no | — |
| 650 | C2×D5 | — | 6 | 1 | no | — |
| 651 | C2×D5 | — | 6 | 1 | no | — |
| 652 | C2×D5 | — | 12 | 1 | no | — |
| 653 | C2×D5 | — | 12 | 1 | no | — |
| 654 | C2×D5 | — | 12 | 1 | no | — |
| 655 | C2×D5 | — | 24 | 4 | no | — |
| 656 | C4×C5 | — | 2 | 1 | no | — |
| 657 | C4×C5 | — | 4 | 1 | no | — |
| 658 | C4×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 659 | C4×C5 | #1004 | 1 | 1 | yes | characteristic |
| 660 | Dic5 | — | 6 | 1 | no | — |
| 661 | Dic5 | — | 6 | 1 | no | — |
| 662 | Dic5 | — | 6 | 2 | no | — |
| 663 | Dic5 | — | 6 | 1 | no | — |
| 664 | Dic5 | — | 12 | 1 | no | — |
| 665 | Dic5 | — | 12 | 1 | no | — |
| 666 | C24 | — | 2 | 1 | no | — |
| 667 | C24 | — | 30 | 1 | no | — |
| 668 | #41 | — | 30 | 2 | no | — |
| 669 | #41 | — | 60 | 1 | no | — |
| 670 | C2×Q8 | — | 15 | 1 | no | — |
| 671 | C2×Q8 | — | 15 | 1 | no | — |
| 672 | C2×Q8 | — | 30 | 2 | no | — |
| 673 | C2×Q8 | — | 30 | 1 | no | — |
| 674 | C2×Q8 | — | 60 | 1 | no | — |
| 675 | C2×D4 | — | 2 | 2 | no | — |
| 676 | C2×D4 | — | 2 | 1 | no | — |
| 677 | C2×D4 | — | 2 | 1 | no | — |
| 678 | C2×D4 | — | 4 | 1 | no | — |
| 679 | C2×D4 | — | 15 | 1 | no | — |
| 680 | C2×D4 | — | 15 | 1 | no | — |
| 681 | C2×D4 | — | 30 | 1 | no | — |
| 682 | C2×D4 | — | 30 | 1 | no | — |
| 683 | C2×D4 | — | 30 | 1 | no | — |
| 684 | C2×D4 | — | 30 | 2 | no | — |
| 685 | C2×D4 | — | 30 | 1 | no | — |
| 686 | C2×D4 | — | 30 | 1 | no | — |
| 687 | C2×D4 | — | 30 | 1 | no | — |
| 688 | C2×D4 | — | 60 | 1 | no | — |
| 689 | C2×D4 | — | 60 | 4 | no | — |
| 690 | C2×D4 | C22×D15 | 1 | 1 | yes | characteristic |
| 691 | C2×D4 | C22×D15 | 1 | 1 | yes | characteristic |
| 692 | C2×D4 | C22×D15 | 1 | 1 | yes | characteristic |
| 693 | C22×C4 | — | 15 | 1 | no | — |
| 694 | C22×C4 | — | 30 | 1 | no | — |
| 695 | C22×C4 | — | 30 | 1 | no | — |
| 696 | C22×C4 | — | 30 | 1 | no | — |
| 697 | C22×C4 | C22×D15 | 1 | 1 | yes | characteristic |
| 698 | SD16 | — | 15 | 4 | no | — |
| 699 | SD16 | — | 30 | 2 | no | — |
| 700 | SD16 | — | 30 | 2 | no | — |
| 701 | SD16 | — | 30 | 2 | no | — |
| 702 | SD16 | — | 30 | 2 | no | — |
| 703 | SD16 | — | 60 | 1 | no | — |
| 704 | D8 | — | 2 | 2 | no | — |
| 705 | D8 | — | 4 | 1 | no | — |
| 706 | D8 | — | 30 | 2 | no | — |
| 707 | M16 | — | 30 | 2 | no | — |
| 708 | C2×C8 | — | 15 | 1 | no | — |
| 709 | C2×C8 | — | 15 | 1 | no | — |
| 710 | C2×C8 | — | 30 | 2 | no | — |
| 711 | C2×C8 | C22×D15 | 1 | 1 | yes | characteristic |
| 712 | C2×C8 | C22×D15 | 1 | 1 | yes | characteristic |
| 713 | C4⋊C4 | — | 15 | 1 | no | — |
| 714 | C4⋊C4 | — | 15 | 1 | no | — |
| 715 | C4⋊C4 | — | 30 | 1 | no | — |
| 716 | C4⋊C4 | — | 30 | 1 | no | — |
| 717 | C4⋊C4 | C22×D15 | 1 | 1 | yes | characteristic |
| 718 | C22⋊C4 | — | 2 | 1 | no | — |
| 719 | C22⋊C4 | — | 15 | 1 | no | — |
| 720 | C22⋊C4 | — | 15 | 1 | no | — |
| 721 | C22⋊C4 | — | 30 | 1 | no | — |
| 722 | C22⋊C4 | — | 30 | 1 | no | — |
| 723 | C22⋊C4 | — | 30 | 1 | no | — |
| 724 | C22⋊C4 | — | 30 | 1 | no | — |
| 725 | C22⋊C4 | — | 30 | 1 | no | — |
| 726 | C22⋊C4 | — | 30 | 1 | no | — |
| 727 | C42 | — | 15 | 1 | no | — |
| 728 | C42 | — | 30 | 1 | no | — |
| 729 | C3×C5 | #3265 | 1 | 1 | yes | characteristic, complemented, Hall |
| 730 | C22×C3 | — | 2 | 1 | no | — |
| 731 | C22×C3 | — | 2 | 1 | no | — |
| 732 | C22×C3 | — | 2 | 2 | no | — |
| 733 | C22×C3 | — | 4 | 1 | no | — |
| 734 | C22×C3 | — | 4 | 1 | no | — |
| 735 | C22×C3 | — | 4 | 1 | no | — |
| 736 | C22×C3 | — | 4 | 1 | no | — |
| 737 | C22×C3 | — | 4 | 1 | no | — |
| 738 | C22×C3 | — | 4 | 1 | no | — |
| 739 | C22×C3 | — | 4 | 1 | no | — |
| 740 | C22×C3 | — | 4 | 1 | no | — |
| 741 | C22×C3 | — | 8 | 4 | no | — |
| 742 | C22×C3 | #4057 | 1 | 2 | yes | complemented |
| 743 | C22×C3 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 744 | C2×D3 | — | 10 | 1 | no | — |
| 745 | C2×D3 | — | 10 | 1 | no | — |
| 746 | C2×D3 | — | 10 | 1 | no | — |
| 747 | C2×D3 | — | 20 | 1 | no | — |
| 748 | C2×D3 | — | 20 | 1 | no | — |
| 749 | C2×D3 | — | 20 | 1 | no | — |
| 750 | C2×D3 | — | 40 | 4 | no | — |
| 751 | C3×C4 | — | 2 | 1 | no | — |
| 752 | C3×C4 | — | 4 | 1 | no | — |
| 753 | C3×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 754 | C3×C4 | #4144 | 1 | 1 | yes | characteristic |
| 755 | Dic3 | — | 10 | 1 | no | — |
| 756 | Dic3 | — | 10 | 1 | no | — |
| 757 | Dic3 | — | 10 | 2 | no | — |
| 758 | Dic3 | — | 10 | 1 | no | — |
| 759 | Dic3 | — | 20 | 1 | no | — |
| 760 | Dic3 | — | 20 | 1 | no | — |
| 761 | C2×C5 | — | 2 | 2 | no | — |
| 762 | C2×C5 | — | 4 | 2 | no | — |
| 763 | C2×C5 | — | 8 | 1 | no | — |
| 764 | C2×C5 | — | 8 | 1 | no | — |
| 765 | C2×C5 | #5590 | 1 | 1 | yes | characteristic |
| 766 | C2×C5 | C2×#911 | 1 | 1 | yes | characteristic |
| 767 | C2×C5 | #5775 | 1 | 1 | yes | characteristic |
| 768 | D5 | — | 12 | 1 | no | — |
| 769 | D5 | — | 24 | 1 | no | — |
| 770 | C23 | — | 2 | 1 | no | — |
| 771 | C23 | — | 2 | 1 | no | — |
| 772 | C23 | — | 2 | 1 | no | — |
| 773 | C23 | — | 4 | 2 | no | — |
| 774 | C23 | — | 4 | 2 | no | — |
| 775 | C23 | — | 8 | 1 | no | — |
| 776 | C23 | — | 15 | 1 | no | — |
| 777 | C23 | — | 30 | 1 | no | — |
| 778 | C23 | — | 60 | 2 | no | — |
| 779 | C23 | — | 60 | 2 | no | — |
| 780 | C23 | — | 120 | 1 | no | — |
| 781 | C23 | D4×D15 | 1 | 1 | yes | characteristic |
| 782 | Q8 | — | 15 | 2 | no | — |
| 783 | Q8 | — | 30 | 1 | no | — |
| 784 | Q8 | — | 30 | 1 | no | — |
| 785 | Q8 | — | 30 | 1 | no | — |
| 786 | Q8 | — | 60 | 2 | no | — |
| 787 | D4 | — | 2 | 1 | no | — |
| 788 | D4 | — | 2 | 1 | no | — |
| 789 | D4 | — | 2 | 1 | no | — |
| 790 | D4 | — | 2 | 1 | no | — |
| 791 | D4 | — | 2 | 1 | no | — |
| 792 | D4 | — | 4 | 2 | no | — |
| 793 | D4 | — | 4 | 2 | no | — |
| 794 | D4 | — | 30 | 2 | no | — |
| 795 | D4 | — | 30 | 1 | no | — |
| 796 | D4 | — | 30 | 1 | no | — |
| 797 | D4 | — | 60 | 2 | no | — |
| 798 | D4 | — | 60 | 2 | no | — |
| 799 | D4 | — | 60 | 2 | no | — |
| 800 | D4 | — | 60 | 2 | no | — |
| 801 | D4 | — | 60 | 2 | no | — |
| 802 | D4 | — | 120 | 1 | no | — |
| 803 | D4 | D4×D15 | 1 | 2 | yes | — |
| 804 | C2×C4 | — | 2 | 1 | no | — |
| 805 | C2×C4 | — | 2 | 1 | no | — |
| 806 | C2×C4 | — | 2 | 1 | no | — |
| 807 | C2×C4 | — | 15 | 1 | no | — |
| 808 | C2×C4 | — | 15 | 1 | no | — |
| 809 | C2×C4 | — | 15 | 1 | no | — |
| 810 | C2×C4 | — | 30 | 1 | no | — |
| 811 | C2×C4 | — | 30 | 1 | no | — |
| 812 | C2×C4 | — | 30 | 1 | no | — |
| 813 | C2×C4 | — | 30 | 1 | no | — |
| 814 | C2×C4 | — | 30 | 1 | no | — |
| 815 | C2×C4 | — | 60 | 2 | no | — |
| 816 | C2×C4 | — | 60 | 2 | no | — |
| 817 | C2×C4 | — | 60 | 2 | no | — |
| 818 | C2×C4 | D4×D15 | 1 | 1 | yes | characteristic |
| 819 | C2×C4 | C23×D15 | 1 | 1 | yes | characteristic |
| 820 | C8 | — | 2 | 1 | no | — |
| 821 | C8 | — | 2 | 1 | no | — |
| 822 | C8 | — | 15 | 2 | no | — |
| 823 | C8 | — | 30 | 1 | no | — |
| 824 | C2×C3 | — | 2 | 2 | no | — |
| 825 | C2×C3 | — | 4 | 2 | no | — |
| 826 | C2×C3 | — | 8 | 1 | no | — |
| 827 | C2×C3 | — | 8 | 1 | no | — |
| 828 | C2×C3 | #65924 | 1 | 1 | yes | characteristic |
| 829 | C2×C3 | C2×#4057 | 1 | 1 | yes | characteristic |
| 830 | C2×C3 | #66109 | 1 | 1 | yes | characteristic |
| 831 | D3 | — | 20 | 1 | no | — |
| 832 | D3 | — | 40 | 1 | no | — |
| 833 | C5 | #80025 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 834 | C22 | — | 2 | 1 | no | — |
| 835 | C22 | — | 2 | 1 | no | — |
| 836 | C22 | — | 2 | 2 | no | — |
| 837 | C22 | — | 4 | 1 | no | — |
| 838 | C22 | — | 4 | 1 | no | — |
| 839 | C22 | — | 4 | 1 | no | — |
| 840 | C22 | — | 4 | 1 | no | — |
| 841 | C22 | — | 4 | 1 | no | — |
| 842 | C22 | — | 4 | 1 | no | — |
| 843 | C22 | — | 4 | 1 | no | — |
| 844 | C22 | — | 4 | 1 | no | — |
| 845 | C22 | — | 8 | 4 | no | — |
| 846 | C22 | — | 30 | 1 | no | — |
| 847 | C22 | — | 30 | 1 | no | — |
| 848 | C22 | — | 30 | 1 | no | — |
| 849 | C22 | — | 60 | 1 | no | — |
| 850 | C22 | — | 60 | 1 | no | — |
| 851 | C22 | — | 60 | 1 | no | — |
| 852 | C22 | — | 120 | 4 | no | — |
| 853 | C22 | #91800 | 1 | 2 | yes | complemented |
| 854 | C22 | C2×D4×D15 | 1 | 1 | yes | characteristic |
| 855 | C4 | — | 2 | 1 | no | — |
| 856 | C4 | — | 4 | 1 | no | — |
| 857 | C4 | — | 30 | 1 | no | — |
| 858 | C4 | — | 30 | 2 | no | — |
| 859 | C4 | — | 30 | 1 | no | — |
| 860 | C4 | — | 30 | 1 | no | — |
| 861 | C4 | — | 60 | 1 | no | — |
| 862 | C4 | — | 60 | 1 | no | — |
| 863 | C4 | C2×D4×D15 | 1 | 1 | yes | characteristic |
| 864 | C4 | #92095 | 1 | 1 | yes | characteristic |
| 865 | C3 | #10611756 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 866 | C2 | — | 2 | 2 | no | — |
| 867 | C2 | — | 4 | 2 | no | — |
| 868 | C2 | — | 8 | 1 | no | — |
| 869 | C2 | — | 8 | 1 | no | — |
| 870 | C2 | — | 60 | 1 | no | — |
| 871 | C2 | — | 120 | 1 | no | — |
| 872 | C2 | #11756349 | 1 | 1 | yes | characteristic |
| 873 | C2 | C2×#91800 | 1 | 1 | yes | characteristic |
| 874 | C2 | #11756534 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta