| 1 | C2×C3×D5×SD16 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11755225 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11754930 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | C2×#91274 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11751268 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C5×#5174 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11749403 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11749291 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11749229 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11749155 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11749045 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11749007 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11747943 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11747812 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11747701 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10612566 | — | 3 | 1 | no | maximal, Hall |
| 17 | C2×C3×Q8×D5 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×C3×D4×D5 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×D3×Dic10 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C2×#6765 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×C3×C5×SD16 | C22 | 1 | 1 | yes | characteristic |
| 22 | #91833 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C2×#6718 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | #91825 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#6716 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×Dic60 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C5×#946 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C5×#938 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×C5×ΓL(1,𝔽25) | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C2×C3×#688 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×C3×#687 | C22 | 1 | 1 | yes | characteristic |
| 32 | C3×D5×SD16 | — | 2 | 4 | no | — |
| 33 | C2×C3×#677 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×C3×C8×D5 | C22 | 1 | 1 | yes | characteristic |
| 35 | #91563 | — | 2 | 1 | no | — |
| 36 | #91549 | — | 2 | 1 | no | — |
| 37 | #91548 | — | 2 | 1 | no | — |
| 38 | D5×#217 | — | 2 | 1 | no | — |
| 39 | #91440 | — | 2 | 1 | no | — |
| 40 | C4×#1201 | C22 | 1 | 1 | yes | characteristic |
| 41 | #91434 | C22 | 1 | 1 | yes | characteristic |
| 42 | #91410 | — | 2 | 1 | no | — |
| 43 | #91360 | C22 | 1 | 1 | yes | characteristic |
| 44 | #91360 | C22 | 1 | 1 | yes | characteristic |
| 45 | #91349 | — | 2 | 1 | no | — |
| 46 | #91331 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #91327 | — | 2 | 1 | no | — |
| 48 | C2×#6662 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C2×#6657 | C22 | 1 | 1 | yes | characteristic |
| 50 | #91274 | — | 2 | 4 | no | — |
| 51 | #91099 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | C5×#835 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | C5×#832 | C22 | 1 | 1 | yes | characteristic |
| 54 | C5×#818 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #90983 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #90975 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #90975 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #90970 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #90964 | C22 | 1 | 1 | yes | characteristic |
| 60 | (C2×D3)⋊#168 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #90955 | C22 | 1 | 1 | yes | characteristic |
| 62 | #83866 | — | 5 | 1 | no | maximal, Hall |
| 63 | C2×D5×SD16 | D3 | 1 | 1 | yes | characteristic, complemented |
| 64 | C2×#4055 | — | 3 | 1 | no | — |
| 65 | #65966 | — | 3 | 1 | no | — |
| 66 | #65946 | — | 3 | 1 | no | — |
| 67 | C5×#468 | — | 3 | 1 | no | — |
| 68 | #65456 | — | 3 | 1 | no | — |
| 69 | #65416 | — | 3 | 1 | no | — |
| 70 | #65336 | — | 3 | 1 | no | — |
| 71 | #65329 | — | 3 | 1 | no | — |
| 72 | #65178 | — | 3 | 1 | no | — |
| 73 | #65176 | — | 3 | 1 | no | — |
| 74 | #65107 | — | 3 | 1 | no | — |
| 75 | #65097 | — | 3 | 1 | no | — |
| 76 | #65065 | — | 3 | 1 | no | — |
| 77 | #65056 | — | 3 | 1 | no | — |
| 78 | C23×C3×D5 | — | 2 | 1 | no | — |
| 79 | C2×C3×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 80 | C2×C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 81 | C2×Dic30 | C23 | 1 | 1 | yes | characteristic |
| 82 | C2×Dic30 | C23 | 1 | 1 | yes | characteristic |
| 83 | C2×C5×#67 | — | 2 | 1 | no | — |
| 84 | C2×C4×C5×D3 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×C3×C22⋊D5 | — | 2 | 1 | no | — |
| 86 | C3×Q8×D5 | — | 2 | 2 | no | — |
| 87 | C3×Q8×D5 | — | 4 | 1 | no | — |
| 88 | C3×D4×D5 | — | 2 | 2 | no | — |
| 89 | C3×D4×D5 | — | 4 | 1 | no | — |
| 90 | C2×C3×D20 | C23 | 1 | 1 | yes | characteristic |
| 91 | C2×C3×C4×D5 | — | 2 | 1 | no | — |
| 92 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 93 | C2×C3×Dic10 | — | 2 | 1 | no | — |
| 94 | C2×C3×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 95 | C2×#1204 | — | 2 | 1 | no | — |
| 96 | C2×#1201 | — | 2 | 1 | no | — |
| 97 | C2×#1201 | D4 | 1 | 1 | yes | characteristic |
| 98 | C2×D3×Dic5 | — | 2 | 1 | no | — |
| 99 | C2×D5×Dic3 | — | 2 | 1 | no | — |
| 100 | C2×D5×Dic3 | — | 2 | 1 | no | — |
| 101 | D3×Dic10 | — | 2 | 2 | no | — |
| 102 | D3×Dic10 | — | 4 | 1 | no | — |
| 103 | #6765 | — | 2 | 2 | no | — |
| 104 | #6765 | — | 4 | 1 | no | — |
| 105 | C3×C5×SD16 | — | 2 | 2 | no | — |
| 106 | C2×C3×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 107 | #6719 | — | 2 | 1 | no | — |
| 108 | #6719 | — | 2 | 1 | no | — |
| 109 | #6718 | — | 4 | 1 | no | — |
| 110 | #6716 | — | 4 | 1 | no | — |
| 111 | #6712 | — | 2 | 1 | no | — |
| 112 | #6712 | — | 2 | 1 | no | — |
| 113 | C4×Dic15 | C23 | 1 | 1 | yes | characteristic |
| 114 | C2×C3⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 115 | Dic60 | — | 2 | 2 | no | — |
| 116 | C5×#217 | — | 2 | 1 | no | — |
| 117 | C5×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 118 | C5×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 119 | C5×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 120 | C5×Dic3⋊C4 | — | 2 | 1 | no | — |
| 121 | C2×C5×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 122 | C5×ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 123 | C3×#688 | — | 2 | 2 | no | — |
| 124 | C3×#687 | — | 2 | 2 | no | — |
| 125 | C2×C3×#168 | C23 | 1 | 1 | yes | characteristic |
| 126 | C3×#677 | D4 | 1 | 4 | yes | complemented |
| 127 | C3×C8×D5 | — | 2 | 2 | no | — |
| 128 | Dic3⋊Dic5 | — | 2 | 1 | no | — |
| 129 | Dic3⋊Dic5 | — | 2 | 1 | no | — |
| 130 | #6669 | D4 | 1 | 1 | yes | characteristic |
| 131 | #6668 | — | 2 | 1 | no | — |
| 132 | (C2×D3)⋊Dic5 | D4 | 1 | 1 | yes | characteristic |
| 133 | #6665 | — | 2 | 1 | no | — |
| 134 | #6665 | — | 2 | 1 | no | — |
| 135 | #6665 | — | 2 | 1 | no | — |
| 136 | #6665 | D4 | 1 | 1 | yes | characteristic |
| 137 | Dic3×Dic5 | — | 2 | 1 | no | — |
| 138 | #6662 | — | 2 | 2 | no | — |
| 139 | #6657 | — | 2 | 2 | no | — |
| 140 | C22×C3×SD16 | — | 5 | 1 | no | — |
| 141 | Q8×#67 | — | 5 | 1 | no | — |
| 142 | #5806 | — | 5 | 1 | no | — |
| 143 | C2×#915 | — | 5 | 1 | no | — |
| 144 | #5228 | — | 5 | 1 | no | — |
| 145 | #5218 | — | 5 | 1 | no | — |
| 146 | #5174 | D5 | 1 | 1 | yes | characteristic, complemented |
| 147 | #5173 | — | 5 | 1 | no | — |
| 148 | #5170 | — | 5 | 1 | no | — |
| 149 | #5167 | — | 5 | 1 | no | — |
| 150 | #5166 | — | 5 | 1 | no | — |
| 151 | #5164 | — | 5 | 1 | no | — |
| 152 | #5162 | — | 5 | 1 | no | — |
| 153 | #5116 | — | 5 | 1 | no | — |
| 154 | #5111 | — | 5 | 1 | no | — |
| 155 | C2×Q8×D5 | C2×D3 | 1 | 1 | yes | characteristic |
| 156 | C2×D4×D5 | C2×D3 | 1 | 1 | yes | characteristic |
| 157 | C2×#709 | — | 3 | 1 | no | — |
| 158 | C22×Dic10 | — | 3 | 1 | no | — |
| 159 | C2×C5×SD16 | C2×D3 | 1 | 1 | yes | characteristic |
| 160 | C2×C5×M16 | — | 3 | 1 | no | — |
| 161 | C5×C22⋊Q8 | — | 3 | 1 | no | — |
| 162 | C5×#121 | — | 3 | 1 | no | — |
| 163 | #4090 | — | 3 | 1 | no | — |
| 164 | C2×#689 | — | 3 | 1 | no | — |
| 165 | C2×#688 | C2×D3 | 1 | 1 | yes | characteristic |
| 166 | #4084 | — | 6 | 1 | no | — |
| 167 | #4083 | — | 6 | 1 | no | — |
| 168 | #4082 | — | 3 | 1 | no | — |
| 169 | C2×#687 | — | 3 | 1 | no | — |
| 170 | C2×#687 | C2×D3 | 1 | 1 | yes | characteristic |
| 171 | C4×C22⋊D5 | — | 3 | 1 | no | — |
| 172 | D5×SD16 | — | 2 | 4 | no | — |
| 173 | #4055 | — | 6 | 4 | no | — |
| 174 | C2×Dic20 | — | 3 | 1 | no | — |
| 175 | C2×Dic20 | — | 3 | 1 | no | — |
| 176 | C2×#677 | — | 3 | 1 | no | — |
| 177 | C2×#677 | C2×D3 | 1 | 1 | yes | characteristic |
| 178 | C2×C8×D5 | C2×D3 | 1 | 1 | yes | characteristic |
| 179 | #4043 | — | 3 | 1 | no | — |
| 180 | #4043 | — | 3 | 1 | no | — |
| 181 | #4042 | — | 6 | 1 | no | — |
| 182 | #4039 | — | 3 | 1 | no | — |
| 183 | #4034 | — | 6 | 1 | no | — |
| 184 | #4033 | — | 3 | 1 | no | — |
| 185 | #4029 | — | 6 | 1 | no | — |
| 186 | #4027 | — | 6 | 1 | no | — |
| 187 | D5×C22⋊C4 | — | 6 | 1 | no | — |
| 188 | #4024 | — | 6 | 1 | no | — |
| 189 | C5×#107 | — | 3 | 1 | no | — |
| 190 | C5×#103 | — | 3 | 1 | no | — |
| 191 | C5×#102 | — | 3 | 1 | no | — |
| 192 | C22⋊#168 | — | 3 | 1 | no | — |
| 193 | #3952 | — | 3 | 1 | no | — |
| 194 | #3947 | — | 3 | 1 | no | — |
| 195 | #3946 | — | 3 | 1 | no | — |
| 196 | #3942 | — | 3 | 1 | no | — |
| 197 | #3942 | — | 3 | 1 | no | — |
| 198 | #3942 | — | 3 | 1 | no | — |
| 199 | #3941 | — | 3 | 1 | no | — |
| 200 | #3266 | — | 15 | 1 | no | Sylow |
| 201 | C23×C3×C5 | — | 2 | 1 | no | — |
| 202 | C22×C5×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 203 | C22×C3×D5 | — | 2 | 1 | no | — |
| 204 | C22×C3×D5 | — | 4 | 2 | no | — |
| 205 | C22×C3×D5 | — | 4 | 2 | no | — |
| 206 | C22×C3×D5 | — | 8 | 1 | no | — |
| 207 | C22×C3×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 208 | C3×C5×Q8 | — | 2 | 1 | no | — |
| 209 | C3×C5×Q8 | — | 2 | 1 | no | — |
| 210 | C3×C5×D4 | — | 2 | 1 | no | — |
| 211 | C3×C5×D4 | — | 2 | 1 | no | — |
| 212 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 213 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 214 | C2×Dic15 | — | 2 | 1 | no | — |
| 215 | C2×Dic15 | — | 2 | 1 | no | — |
| 216 | C2×Dic15 | C2×D4 | 1 | 1 | yes | characteristic |
| 217 | C2×Dic15 | C2×D4 | 1 | 1 | yes | characteristic |
| 218 | Dic30 | — | 2 | 1 | no | — |
| 219 | Dic30 | — | 2 | 1 | no | — |
| 220 | Dic30 | — | 2 | 1 | no | — |
| 221 | Dic30 | — | 2 | 1 | no | — |
| 222 | C5×#67 | — | 8 | 1 | no | — |
| 223 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 224 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 225 | C2×C5×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 226 | C4×C5×D3 | — | 2 | 1 | no | — |
| 227 | C4×C5×D3 | — | 2 | 1 | no | — |
| 228 | C3×C22⋊D5 | — | 4 | 2 | no | — |
| 229 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 230 | C2×C3×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 231 | C3×D20 | — | 2 | 1 | no | — |
| 232 | C3×D20 | C2×D4 | 1 | 2 | yes | — |
| 233 | C3×C4×D5 | — | 2 | 1 | no | — |
| 234 | C3×C4×D5 | — | 2 | 1 | no | — |
| 235 | C3×C4×D5 | — | 4 | 2 | no | — |
| 236 | C3×Dic10 | — | 2 | 1 | no | — |
| 237 | C3×Dic10 | — | 4 | 2 | no | — |
| 238 | C3×Dic10 | C2×D4 | 1 | 2 | yes | — |
| 239 | #1204 | — | 4 | 2 | no | — |
| 240 | #1201 | — | 2 | 2 | no | — |
| 241 | #1201 | — | 4 | 2 | no | — |
| 242 | D3×Dic5 | — | 4 | 2 | no | — |
| 243 | D5×Dic3 | — | 4 | 2 | no | — |
| 244 | D5×Dic3 | — | 8 | 1 | no | — |
| 245 | C3×C5×C8 | C2×D4 | 1 | 2 | yes | — |
| 246 | C3⋊#168 | — | 2 | 1 | no | — |
| 247 | C3×#168 | — | 2 | 1 | no | — |
| 248 | C5×C3⋊C8 | — | 2 | 1 | no | — |
| 249 | C22×C3×Q8 | — | 5 | 1 | no | — |
| 250 | C22×C3×D4 | — | 5 | 1 | no | — |
| 251 | C2×D3×Q8 | — | 5 | 1 | no | — |
| 252 | C2×#237 | — | 5 | 1 | no | — |
| 253 | C2×C3×SD16 | — | 5 | 1 | no | — |
| 254 | C2×C3×SD16 | — | 5 | 1 | no | — |
| 255 | C2×C3×SD16 | — | 5 | 1 | no | — |
| 256 | C2×C3×SD16 | — | 10 | 4 | no | — |
| 257 | C2×C3×SD16 | C2×D5 | 1 | 1 | yes | characteristic |
| 258 | C22×C3×C8 | — | 5 | 1 | no | — |
| 259 | #953 | — | 10 | 1 | no | — |
| 260 | C2×#217 | — | 10 | 1 | no | — |
| 261 | #946 | — | 10 | 1 | no | — |
| 262 | #946 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 263 | Q8×Dic3 | — | 5 | 1 | no | — |
| 264 | #944 | — | 5 | 1 | no | — |
| 265 | #944 | — | 10 | 1 | no | — |
| 266 | C2×#216 | — | 5 | 1 | no | — |
| 267 | C2×#216 | — | 5 | 1 | no | — |
| 268 | #939 | — | 10 | 1 | no | — |
| 269 | #938 | C2×D5 | 1 | 1 | yes | characteristic |
| 270 | #936 | — | 5 | 1 | no | — |
| 271 | #935 | — | 10 | 1 | no | — |
| 272 | D4×Dic3 | — | 5 | 1 | no | — |
| 273 | C2×#214 | — | 5 | 1 | no | — |
| 274 | C2×#214 | — | 5 | 1 | no | — |
| 275 | C4×#67 | — | 5 | 1 | no | — |
| 276 | C4×#67 | — | 10 | 1 | no | — |
| 277 | #924 | — | 5 | 1 | no | — |
| 278 | #924 | — | 5 | 1 | no | — |
| 279 | #924 | — | 10 | 1 | no | — |
| 280 | #915 | — | 10 | 4 | no | — |
| 281 | C2×Dic12 | — | 5 | 1 | no | — |
| 282 | C2×ΓL(1,𝔽25) | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 283 | #835 | — | 5 | 1 | no | — |
| 284 | #835 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 285 | #832 | — | 5 | 1 | no | — |
| 286 | #832 | C2×D5 | 1 | 1 | yes | characteristic |
| 287 | #830 | — | 5 | 1 | no | — |
| 288 | (C2×D3)⋊C8 | — | 5 | 1 | no | — |
| 289 | #818 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 290 | #816 | — | 5 | 1 | no | — |
| 291 | #816 | — | 5 | 1 | no | — |
| 292 | #815 | — | 5 | 1 | no | — |
| 293 | Dic3⋊C8 | — | 5 | 1 | no | — |
| 294 | C23×D5 | — | 2 | 1 | no | — |
| 295 | C2×C5×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 296 | C2×C5×D4 | — | 6 | 1 | no | — |
| 297 | C2×C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 298 | C22×C4×C5 | — | 3 | 1 | no | — |
| 299 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 300 | C2×C22⋊D5 | — | 3 | 1 | no | — |
| 301 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 302 | C22×Dic5 | — | 6 | 1 | no | — |
| 303 | Q8×D5 | — | 2 | 2 | no | — |
| 304 | Q8×D5 | — | 4 | 1 | no | — |
| 305 | D4×D5 | — | 2 | 2 | no | — |
| 306 | D4×D5 | — | 4 | 1 | no | — |
| 307 | #709 | — | 6 | 2 | no | — |
| 308 | #709 | — | 12 | 1 | no | — |
| 309 | C2×D20 | C22×D3 | 1 | 1 | yes | characteristic |
| 310 | C2×C4×D5 | — | 2 | 1 | no | — |
| 311 | C2×C4×D5 | — | 6 | 1 | no | — |
| 312 | C2×C4×D5 | — | 6 | 1 | no | — |
| 313 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 314 | C2×Dic10 | — | 2 | 1 | no | — |
| 315 | C2×Dic10 | — | 3 | 1 | no | — |
| 316 | C2×Dic10 | — | 3 | 1 | no | — |
| 317 | C2×Dic10 | — | 6 | 2 | no | — |
| 318 | C2×Dic10 | — | 6 | 1 | no | — |
| 319 | C2×Dic10 | — | 12 | 1 | no | — |
| 320 | C2×Dic10 | C22×D3 | 1 | 1 | yes | characteristic |
| 321 | C5×SD16 | — | 2 | 2 | no | — |
| 322 | C5×M16 | — | 6 | 2 | no | — |
| 323 | C2×C5×C8 | — | 3 | 1 | no | — |
| 324 | C2×C5×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 325 | C5×C4⋊C4 | — | 3 | 1 | no | — |
| 326 | C5×C4⋊C4 | — | 3 | 1 | no | — |
| 327 | C5×C4⋊C4 | — | 6 | 1 | no | — |
| 328 | C5×C22⋊C4 | — | 6 | 1 | no | — |
| 329 | C5×C22⋊C4 | — | 6 | 1 | no | — |
| 330 | C22⋊Dic5 | — | 3 | 1 | no | — |
| 331 | C22⋊Dic5 | — | 6 | 1 | no | — |
| 332 | C22⋊Dic5 | — | 6 | 1 | no | — |
| 333 | #689 | — | 12 | 1 | no | — |
| 334 | #688 | — | 2 | 2 | no | — |
| 335 | #687 | — | 2 | 2 | no | — |
| 336 | #687 | — | 12 | 1 | no | — |
| 337 | #685 | — | 3 | 1 | no | — |
| 338 | #685 | — | 6 | 1 | no | — |
| 339 | #685 | — | 6 | 1 | no | — |
| 340 | #685 | — | 6 | 1 | no | — |
| 341 | C4⋊Dic5 | — | 6 | 1 | no | — |
| 342 | C4⋊Dic5 | — | 6 | 1 | no | — |
| 343 | #683 | — | 3 | 1 | no | — |
| 344 | #683 | — | 6 | 1 | no | — |
| 345 | #683 | — | 6 | 1 | no | — |
| 346 | #683 | — | 6 | 1 | no | — |
| 347 | C4×Dic5 | — | 3 | 1 | no | — |
| 348 | C4×Dic5 | — | 6 | 1 | no | — |
| 349 | C2×#168 | — | 3 | 1 | no | — |
| 350 | C2×#168 | C22×D3 | 1 | 1 | yes | characteristic |
| 351 | Dic20 | — | 6 | 2 | no | — |
| 352 | Dic20 | — | 6 | 2 | no | — |
| 353 | #677 | — | 6 | 2 | no | — |
| 354 | #677 | #67 | 1 | 4 | yes | complemented |
| 355 | C8×D5 | — | 2 | 2 | no | — |
| 356 | C2×#137 | — | 15 | 1 | no | — |
| 357 | C22×SD16 | — | 5 | 1 | no | — |
| 358 | D4×Q8 | — | 15 | 1 | no | — |
| 359 | #546 | — | 15 | 1 | no | — |
| 360 | #497 | — | 15 | 1 | no | — |
| 361 | #468 | — | 3 | 1 | no | — |
| 362 | #467 | — | 15 | 1 | no | — |
| 363 | #464 | — | 15 | 1 | no | — |
| 364 | #461 | — | 15 | 1 | no | — |
| 365 | #452 | — | 15 | 1 | no | — |
| 366 | #451 | — | 15 | 1 | no | — |
| 367 | #450 | — | 15 | 1 | no | — |
| 368 | #448 | — | 15 | 1 | no | — |
| 369 | #440 | — | 15 | 1 | no | — |
| 370 | #435 | — | 15 | 1 | no | — |
| 371 | C22×C3×C5 | — | 4 | 1 | no | — |
| 372 | C22×C3×C5 | — | 4 | 1 | no | — |
| 373 | C22×C3×C5 | — | 4 | 1 | no | — |
| 374 | C22×C3×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 375 | C2×C5×D3 | — | 2 | 1 | no | — |
| 376 | C2×C5×D3 | — | 2 | 1 | no | — |
| 377 | C2×C5×D3 | — | 2 | 1 | no | — |
| 378 | C2×C3×D5 | — | 2 | 1 | no | — |
| 379 | C2×C3×D5 | — | 2 | 1 | no | — |
| 380 | C2×C3×D5 | — | 2 | 2 | no | — |
| 381 | C2×C3×D5 | — | 4 | 1 | no | — |
| 382 | C2×C3×D5 | — | 4 | 1 | no | — |
| 383 | C2×C3×D5 | — | 8 | 4 | no | — |
| 384 | C2×C3×D5 | #137 | 1 | 2 | yes | complemented |
| 385 | C3×C4×C5 | — | 4 | 1 | no | — |
| 386 | C3×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 387 | C3×C4×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 388 | Dic15 | — | 2 | 1 | no | — |
| 389 | Dic15 | — | 2 | 1 | no | — |
| 390 | Dic15 | — | 4 | 1 | no | — |
| 391 | Dic15 | — | 4 | 1 | no | — |
| 392 | C3×Dic5 | — | 2 | 2 | no | — |
| 393 | C3×Dic5 | — | 2 | 1 | no | — |
| 394 | C5×Dic3 | — | 2 | 1 | no | — |
| 395 | C5×Dic3 | — | 4 | 1 | no | — |
| 396 | C5×Dic3 | — | 4 | 1 | no | — |
| 397 | C24×C3 | — | 10 | 1 | no | — |
| 398 | C2×C3×Q8 | — | 5 | 1 | no | — |
| 399 | C2×C3×Q8 | — | 10 | 1 | no | — |
| 400 | C2×C3×Q8 | — | 10 | 2 | no | — |
| 401 | C2×C3×Q8 | — | 20 | 1 | no | — |
| 402 | C2×C3×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 403 | C2×C3×D4 | — | 5 | 1 | no | — |
| 404 | C2×C3×D4 | — | 10 | 1 | no | — |
| 405 | C2×C3×D4 | — | 10 | 2 | no | — |
| 406 | C2×C3×D4 | — | 20 | 1 | no | — |
| 407 | C2×C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 408 | C22×C3×C4 | — | 5 | 1 | no | — |
| 409 | C22×C3×C4 | — | 10 | 1 | no | — |
| 410 | C2×#67 | — | 2 | 1 | no | — |
| 411 | C2×#67 | — | 5 | 1 | no | — |
| 412 | C2×#67 | — | 10 | 1 | no | — |
| 413 | C22×Dic3 | — | 10 | 1 | no | — |
| 414 | C22×Dic3 | — | 10 | 1 | no | — |
| 415 | D3×Q8 | — | 10 | 2 | no | — |
| 416 | D3×Q8 | — | 20 | 1 | no | — |
| 417 | #237 | — | 10 | 2 | no | — |
| 418 | #237 | — | 20 | 1 | no | — |
| 419 | C2×C4×D3 | — | 10 | 1 | no | — |
| 420 | C2×C4×D3 | C22×D5 | 1 | 1 | yes | characteristic |
| 421 | C2×Dic6 | — | 5 | 1 | no | — |
| 422 | C2×Dic6 | — | 5 | 1 | no | — |
| 423 | C2×Dic6 | — | 10 | 1 | no | — |
| 424 | C3×SD16 | — | 2 | 2 | no | — |
| 425 | C3×SD16 | — | 5 | 4 | no | — |
| 426 | C3×SD16 | — | 10 | 2 | no | — |
| 427 | C3×SD16 | — | 10 | 2 | no | — |
| 428 | C2×C3×C8 | — | 5 | 1 | no | — |
| 429 | C2×C3×C8 | — | 10 | 2 | no | — |
| 430 | C2×C3×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 431 | #217 | — | 2 | 1 | no | — |
| 432 | #217 | — | 5 | 1 | no | — |
| 433 | #217 | — | 10 | 1 | no | — |
| 434 | #217 | — | 10 | 1 | no | — |
| 435 | #217 | — | 10 | 1 | no | — |
| 436 | #217 | — | 10 | 1 | no | — |
| 437 | #217 | — | 10 | 1 | no | — |
| 438 | #216 | — | 10 | 2 | no | — |
| 439 | #216 | — | 20 | 1 | no | — |
| 440 | #214 | — | 10 | 2 | no | — |
| 441 | #214 | — | 20 | 1 | no | — |
| 442 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 443 | (C2×D3)⋊C4 | — | 5 | 1 | no | — |
| 444 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 445 | C4⋊Dic3 | C22×D5 | 1 | 1 | yes | characteristic |
| 446 | C4⋊Dic3 | C22×D5 | 1 | 1 | yes | characteristic |
| 447 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 448 | Dic3⋊C4 | — | 5 | 1 | no | — |
| 449 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 450 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 451 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 452 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 453 | C4×Dic3 | — | 5 | 1 | no | — |
| 454 | C4×Dic3 | — | 10 | 1 | no | — |
| 455 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 456 | C2×C3⋊C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 457 | Dic12 | — | 10 | 2 | no | — |
| 458 | ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 459 | C23×C5 | — | 2 | 1 | no | — |
| 460 | C23×C5 | — | 3 | 1 | no | — |
| 461 | C22×D5 | — | 2 | 1 | no | — |
| 462 | C22×D5 | — | 4 | 2 | no | — |
| 463 | C22×D5 | — | 4 | 2 | no | — |
| 464 | C22×D5 | — | 8 | 1 | no | — |
| 465 | C22×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 466 | C5×Q8 | — | 2 | 1 | no | — |
| 467 | C5×Q8 | — | 2 | 1 | no | — |
| 468 | C5×D4 | — | 2 | 1 | no | — |
| 469 | C5×D4 | — | 2 | 1 | no | — |
| 470 | C5×D4 | — | 24 | 1 | no | — |
| 471 | C2×C4×C5 | — | 2 | 1 | no | — |
| 472 | C2×C4×C5 | — | 3 | 1 | no | — |
| 473 | C2×C4×C5 | — | 6 | 1 | no | — |
| 474 | C2×C4×C5 | — | 6 | 1 | no | — |
| 475 | C2×C4×C5 | — | 6 | 1 | no | — |
| 476 | C2×C4×C5 | — | 6 | 1 | no | — |
| 477 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 478 | C22⋊D5 | — | 4 | 2 | no | — |
| 479 | C22⋊D5 | — | 6 | 2 | no | — |
| 480 | C22⋊D5 | — | 12 | 2 | no | — |
| 481 | C2×Dic5 | — | 2 | 1 | no | — |
| 482 | C2×Dic5 | — | 3 | 1 | no | — |
| 483 | C2×Dic5 | — | 3 | 1 | no | — |
| 484 | C2×Dic5 | — | 6 | 1 | no | — |
| 485 | C2×Dic5 | — | 6 | 1 | no | — |
| 486 | C2×Dic5 | — | 12 | 2 | no | — |
| 487 | C2×Dic5 | D3×D4 | 1 | 1 | yes | characteristic |
| 488 | D20 | — | 2 | 1 | no | — |
| 489 | D20 | C2×#67 | 1 | 2 | yes | — |
| 490 | C4×D5 | — | 2 | 1 | no | — |
| 491 | C4×D5 | — | 2 | 1 | no | — |
| 492 | C4×D5 | — | 4 | 2 | no | — |
| 493 | C4×D5 | — | 12 | 2 | no | — |
| 494 | C4×D5 | — | 24 | 1 | no | — |
| 495 | Dic10 | — | 2 | 1 | no | — |
| 496 | Dic10 | — | 4 | 2 | no | — |
| 497 | Dic10 | — | 6 | 1 | no | — |
| 498 | Dic10 | — | 6 | 1 | no | — |
| 499 | Dic10 | — | 6 | 1 | no | — |
| 500 | Dic10 | — | 6 | 1 | no | — |
| 501 | Dic10 | — | 12 | 2 | no | — |
| 502 | Dic10 | C2×#67 | 1 | 2 | yes | — |
| 503 | C5×C8 | — | 6 | 1 | no | — |
| 504 | C5×C8 | C2×#67 | 1 | 2 | yes | — |
| 505 | #168 | — | 2 | 1 | no | — |
| 506 | #168 | — | 6 | 1 | no | — |
| 507 | C2×#41 | — | 15 | 1 | no | — |
| 508 | C22×Q8 | — | 5 | 1 | no | — |
| 509 | C22×Q8 | — | 15 | 1 | no | — |
| 510 | C22×D4 | — | 5 | 1 | no | — |
| 511 | #137 | — | 30 | 4 | no | — |
| 512 | C2×Q16 | — | 15 | 1 | no | — |
| 513 | C2×Q16 | — | 15 | 1 | no | — |
| 514 | C2×Q16 | — | 15 | 1 | no | — |
| 515 | C2×SD16 | — | 5 | 1 | no | — |
| 516 | C2×SD16 | — | 5 | 1 | no | — |
| 517 | C2×SD16 | — | 5 | 1 | no | — |
| 518 | C2×SD16 | — | 10 | 4 | no | — |
| 519 | C2×SD16 | — | 15 | 1 | no | — |
| 520 | C2×SD16 | — | 15 | 1 | no | — |
| 521 | C2×SD16 | D3×D5 | 1 | 1 | yes | characteristic |
| 522 | C2×M16 | — | 3 | 1 | no | — |
| 523 | C22×C8 | — | 5 | 1 | no | — |
| 524 | C4⋊Q8 | — | 15 | 1 | no | — |
| 525 | C4⋊Q8 | — | 30 | 1 | no | — |
| 526 | #124 | — | 15 | 1 | no | — |
| 527 | #123 | — | 30 | 1 | no | — |
| 528 | C22⋊Q8 | — | 3 | 1 | no | — |
| 529 | C22⋊Q8 | — | 15 | 1 | no | — |
| 530 | C22⋊Q8 | — | 15 | 1 | no | — |
| 531 | C22⋊Q8 | — | 30 | 1 | no | — |
| 532 | C22⋊Q8 | — | 30 | 1 | no | — |
| 533 | #121 | — | 3 | 1 | no | — |
| 534 | #121 | — | 30 | 1 | no | — |
| 535 | #120 | — | 30 | 1 | no | — |
| 536 | C4×Q8 | — | 15 | 1 | no | — |
| 537 | C4×D4 | — | 15 | 1 | no | — |
| 538 | C4×D4 | — | 15 | 1 | no | — |
| 539 | C4×D4 | — | 30 | 1 | no | — |
| 540 | C2×C22⋊C4 | — | 30 | 1 | no | — |
| 541 | #107 | — | 3 | 1 | no | — |
| 542 | C4⋊C8 | — | 15 | 1 | no | — |
| 543 | #103 | — | 3 | 1 | no | — |
| 544 | #103 | — | 15 | 1 | no | — |
| 545 | #103 | — | 15 | 1 | no | — |
| 546 | #103 | — | 15 | 1 | no | — |
| 547 | #102 | — | 3 | 1 | no | — |
| 548 | #102 | — | 15 | 1 | no | — |
| 549 | C22⋊C8 | — | 15 | 1 | no | — |
| 550 | C22⋊C8 | — | 15 | 1 | no | — |
| 551 | #97 | — | 15 | 1 | no | — |
| 552 | C2×C3×C5 | — | 8 | 1 | no | — |
| 553 | C2×C3×C5 | D42 | 1 | 1 | yes | characteristic |
| 554 | C2×C3×C5 | C2×#137 | 1 | 1 | yes | characteristic |
| 555 | C2×C3×C5 | #577 | 1 | 1 | yes | characteristic |
| 556 | C3×D5 | — | 2 | 2 | no | — |
| 557 | C3×D5 | — | 4 | 2 | no | — |
| 558 | C5×D3 | — | 4 | 1 | no | — |
| 559 | C23×C3 | — | 2 | 1 | no | — |
| 560 | C23×C3 | — | 5 | 1 | no | — |
| 561 | C23×C3 | — | 10 | 1 | no | — |
| 562 | C23×C3 | — | 20 | 2 | no | — |
| 563 | C23×C3 | — | 20 | 2 | no | — |
| 564 | C23×C3 | — | 40 | 1 | no | — |
| 565 | C22×D3 | D4×D5 | 1 | 1 | yes | characteristic |
| 566 | C3×Q8 | — | 2 | 1 | no | — |
| 567 | C3×Q8 | — | 2 | 1 | no | — |
| 568 | C3×Q8 | — | 5 | 2 | no | — |
| 569 | C3×Q8 | — | 10 | 1 | no | — |
| 570 | C3×Q8 | — | 20 | 2 | no | — |
| 571 | C3×D4 | — | 2 | 1 | no | — |
| 572 | C3×D4 | — | 2 | 1 | no | — |
| 573 | C3×D4 | — | 5 | 2 | no | — |
| 574 | C3×D4 | — | 10 | 1 | no | — |
| 575 | C3×D4 | — | 20 | 2 | no | — |
| 576 | C2×C3×C4 | — | 2 | 1 | no | — |
| 577 | C2×C3×C4 | — | 5 | 1 | no | — |
| 578 | C2×C3×C4 | — | 10 | 1 | no | — |
| 579 | C2×C3×C4 | — | 10 | 1 | no | — |
| 580 | C2×C3×C4 | — | 10 | 1 | no | — |
| 581 | C2×C3×C4 | — | 20 | 2 | no | — |
| 582 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 583 | #67 | — | 8 | 1 | no | — |
| 584 | #67 | — | 10 | 2 | no | — |
| 585 | #67 | — | 20 | 2 | no | — |
| 586 | C2×Dic3 | — | 2 | 1 | no | — |
| 587 | C2×Dic3 | — | 2 | 1 | no | — |
| 588 | C2×Dic3 | — | 5 | 1 | no | — |
| 589 | C2×Dic3 | — | 5 | 1 | no | — |
| 590 | C2×Dic3 | — | 10 | 1 | no | — |
| 591 | C2×Dic3 | — | 10 | 1 | no | — |
| 592 | C2×Dic3 | — | 20 | 2 | no | — |
| 593 | C2×Dic3 | — | 40 | 1 | no | — |
| 594 | C2×Dic3 | D4×D5 | 1 | 1 | yes | characteristic |
| 595 | C4×D3 | — | 2 | 1 | no | — |
| 596 | C4×D3 | — | 2 | 1 | no | — |
| 597 | C4×D3 | — | 20 | 2 | no | — |
| 598 | Dic6 | — | 10 | 1 | no | — |
| 599 | Dic6 | — | 10 | 1 | no | — |
| 600 | Dic6 | — | 10 | 1 | no | — |
| 601 | Dic6 | — | 10 | 1 | no | — |
| 602 | Dic6 | — | 20 | 2 | no | — |
| 603 | C3×C8 | — | 10 | 1 | no | — |
| 604 | C3×C8 | D4×D5 | 1 | 2 | yes | — |
| 605 | C3⋊C8 | — | 2 | 1 | no | — |
| 606 | C3⋊C8 | — | 10 | 1 | no | — |
| 607 | C22×C5 | — | 4 | 1 | no | — |
| 608 | C22×C5 | — | 4 | 1 | no | — |
| 609 | C22×C5 | — | 4 | 1 | no | — |
| 610 | C22×C5 | — | 6 | 1 | no | — |
| 611 | C22×C5 | — | 6 | 1 | no | — |
| 612 | C22×C5 | — | 6 | 1 | no | — |
| 613 | C22×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 614 | C2×D5 | — | 2 | 1 | no | — |
| 615 | C2×D5 | — | 2 | 1 | no | — |
| 616 | C2×D5 | — | 2 | 2 | no | — |
| 617 | C2×D5 | — | 4 | 1 | no | — |
| 618 | C2×D5 | — | 4 | 1 | no | — |
| 619 | C2×D5 | — | 8 | 4 | no | — |
| 620 | C2×D5 | #915 | 1 | 2 | yes | complemented |
| 621 | C4×C5 | — | 4 | 1 | no | — |
| 622 | C4×C5 | — | 6 | 1 | no | — |
| 623 | C4×C5 | — | 12 | 1 | no | — |
| 624 | C4×C5 | — | 12 | 1 | no | — |
| 625 | C4×C5 | #1004 | 1 | 1 | yes | characteristic |
| 626 | C4×C5 | C22×#67 | 1 | 1 | yes | characteristic |
| 627 | Dic5 | — | 2 | 2 | no | — |
| 628 | Dic5 | — | 2 | 1 | no | — |
| 629 | Dic5 | — | 6 | 1 | no | — |
| 630 | Dic5 | — | 6 | 1 | no | — |
| 631 | Dic5 | — | 12 | 1 | no | — |
| 632 | Dic5 | — | 12 | 1 | no | — |
| 633 | C24 | — | 10 | 1 | no | — |
| 634 | #41 | — | 30 | 2 | no | — |
| 635 | #41 | — | 60 | 1 | no | — |
| 636 | C2×Q8 | — | 5 | 1 | no | — |
| 637 | C2×Q8 | — | 10 | 1 | no | — |
| 638 | C2×Q8 | — | 10 | 2 | no | — |
| 639 | C2×Q8 | — | 15 | 1 | no | — |
| 640 | C2×Q8 | — | 15 | 1 | no | — |
| 641 | C2×Q8 | — | 20 | 1 | no | — |
| 642 | C2×Q8 | — | 30 | 1 | no | — |
| 643 | C2×Q8 | — | 30 | 2 | no | — |
| 644 | C2×Q8 | — | 60 | 1 | no | — |
| 645 | C2×Q8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 646 | C2×D4 | — | 5 | 1 | no | — |
| 647 | C2×D4 | — | 6 | 1 | no | — |
| 648 | C2×D4 | — | 10 | 1 | no | — |
| 649 | C2×D4 | — | 10 | 2 | no | — |
| 650 | C2×D4 | — | 15 | 1 | no | — |
| 651 | C2×D4 | — | 20 | 1 | no | — |
| 652 | C2×D4 | — | 30 | 1 | no | — |
| 653 | C2×D4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 654 | C22×C4 | — | 3 | 1 | no | — |
| 655 | C22×C4 | — | 5 | 1 | no | — |
| 656 | C22×C4 | — | 10 | 1 | no | — |
| 657 | C22×C4 | — | 30 | 1 | no | — |
| 658 | C22×C4 | — | 30 | 1 | no | — |
| 659 | C22×C4 | — | 30 | 1 | no | — |
| 660 | Q16 | — | 30 | 2 | no | — |
| 661 | Q16 | — | 30 | 2 | no | — |
| 662 | Q16 | — | 60 | 1 | no | — |
| 663 | SD16 | — | 2 | 2 | no | — |
| 664 | SD16 | — | 5 | 4 | no | — |
| 665 | SD16 | — | 10 | 2 | no | — |
| 666 | SD16 | — | 10 | 2 | no | — |
| 667 | SD16 | — | 30 | 2 | no | — |
| 668 | SD16 | — | 60 | 1 | no | — |
| 669 | M16 | — | 6 | 2 | no | — |
| 670 | C2×C8 | — | 3 | 1 | no | — |
| 671 | C2×C8 | — | 5 | 1 | no | — |
| 672 | C2×C8 | — | 10 | 2 | no | — |
| 673 | C2×C8 | — | 15 | 1 | no | — |
| 674 | C2×C8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 675 | C4⋊C4 | — | 3 | 1 | no | — |
| 676 | C4⋊C4 | — | 3 | 1 | no | — |
| 677 | C4⋊C4 | — | 6 | 1 | no | — |
| 678 | C4⋊C4 | — | 15 | 1 | no | — |
| 679 | C4⋊C4 | — | 30 | 1 | no | — |
| 680 | C4⋊C4 | — | 30 | 1 | no | — |
| 681 | C4⋊C4 | — | 30 | 1 | no | — |
| 682 | C4⋊C4 | — | 30 | 1 | no | — |
| 683 | C4⋊C4 | — | 30 | 1 | no | — |
| 684 | C22⋊C4 | — | 6 | 1 | no | — |
| 685 | C22⋊C4 | — | 6 | 1 | no | — |
| 686 | C22⋊C4 | — | 15 | 1 | no | — |
| 687 | C22⋊C4 | — | 15 | 1 | no | — |
| 688 | C22⋊C4 | — | 30 | 1 | no | — |
| 689 | C22⋊C4 | — | 30 | 1 | no | — |
| 690 | C22⋊C4 | — | 30 | 1 | no | — |
| 691 | C22⋊C4 | — | 30 | 1 | no | — |
| 692 | C22⋊C4 | — | 30 | 1 | no | — |
| 693 | C42 | — | 15 | 1 | no | — |
| 694 | C42 | — | 30 | 1 | no | — |
| 695 | C3×C5 | #3266 | 1 | 1 | yes | characteristic, complemented, Hall |
| 696 | C22×C3 | — | 4 | 1 | no | — |
| 697 | C22×C3 | — | 4 | 1 | no | — |
| 698 | C22×C3 | — | 4 | 1 | no | — |
| 699 | C22×C3 | — | 5 | 2 | no | — |
| 700 | C22×C3 | — | 10 | 1 | no | — |
| 701 | C22×C3 | — | 10 | 1 | no | — |
| 702 | C22×C3 | — | 10 | 2 | no | — |
| 703 | C22×C3 | — | 20 | 1 | no | — |
| 704 | C22×C3 | — | 20 | 1 | no | — |
| 705 | C22×C3 | — | 40 | 4 | no | — |
| 706 | C22×C3 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 707 | C2×D3 | — | 2 | 1 | no | — |
| 708 | C2×D3 | — | 2 | 1 | no | — |
| 709 | C2×D3 | — | 2 | 1 | no | — |
| 710 | C3×C4 | — | 4 | 1 | no | — |
| 711 | C3×C4 | — | 10 | 2 | no | — |
| 712 | C3×C4 | — | 10 | 1 | no | — |
| 713 | C3×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 714 | C3×C4 | #4149 | 1 | 1 | yes | characteristic |
| 715 | Dic3 | — | 2 | 1 | no | — |
| 716 | Dic3 | — | 4 | 1 | no | — |
| 717 | Dic3 | — | 4 | 1 | no | — |
| 718 | Dic3 | — | 10 | 1 | no | — |
| 719 | Dic3 | — | 10 | 1 | no | — |
| 720 | Dic3 | — | 20 | 1 | no | — |
| 721 | Dic3 | — | 20 | 1 | no | — |
| 722 | C2×C5 | — | 8 | 1 | no | — |
| 723 | C2×C5 | — | 12 | 1 | no | — |
| 724 | C2×C5 | C2×#915 | 1 | 1 | yes | characteristic |
| 725 | C2×C5 | #5762 | 1 | 1 | yes | characteristic |
| 726 | C2×C5 | D4×#67 | 1 | 1 | yes | characteristic |
| 727 | D5 | — | 2 | 2 | no | — |
| 728 | D5 | — | 4 | 2 | no | — |
| 729 | C23 | — | 2 | 1 | no | — |
| 730 | C23 | — | 3 | 1 | no | — |
| 731 | C23 | — | 5 | 1 | no | — |
| 732 | C23 | — | 10 | 1 | no | — |
| 733 | C23 | — | 20 | 2 | no | — |
| 734 | C23 | — | 20 | 2 | no | — |
| 735 | C23 | — | 40 | 1 | no | — |
| 736 | Q8 | — | 2 | 1 | no | — |
| 737 | Q8 | — | 2 | 1 | no | — |
| 738 | Q8 | — | 5 | 2 | no | — |
| 739 | Q8 | — | 10 | 1 | no | — |
| 740 | Q8 | — | 20 | 2 | no | — |
| 741 | Q8 | — | 30 | 1 | no | — |
| 742 | Q8 | — | 30 | 1 | no | — |
| 743 | Q8 | — | 30 | 1 | no | — |
| 744 | Q8 | — | 30 | 1 | no | — |
| 745 | Q8 | — | 60 | 2 | no | — |
| 746 | D4 | — | 2 | 1 | no | — |
| 747 | D4 | — | 2 | 1 | no | — |
| 748 | D4 | — | 5 | 2 | no | — |
| 749 | D4 | — | 10 | 1 | no | — |
| 750 | D4 | — | 20 | 2 | no | — |
| 751 | D4 | — | 24 | 1 | no | — |
| 752 | D4 | — | 30 | 2 | no | — |
| 753 | D4 | — | 60 | 2 | no | — |
| 754 | C2×C4 | — | 2 | 1 | no | — |
| 755 | C2×C4 | — | 3 | 1 | no | — |
| 756 | C2×C4 | — | 5 | 1 | no | — |
| 757 | C2×C4 | — | 6 | 1 | no | — |
| 758 | C2×C4 | — | 6 | 1 | no | — |
| 759 | C2×C4 | — | 6 | 1 | no | — |
| 760 | C2×C4 | — | 6 | 1 | no | — |
| 761 | C2×C4 | — | 10 | 1 | no | — |
| 762 | C2×C4 | — | 10 | 1 | no | — |
| 763 | C2×C4 | — | 10 | 1 | no | — |
| 764 | C2×C4 | — | 15 | 1 | no | — |
| 765 | C2×C4 | — | 15 | 1 | no | — |
| 766 | C2×C4 | — | 20 | 2 | no | — |
| 767 | C2×C4 | — | 30 | 1 | no | — |
| 768 | C2×C4 | — | 30 | 1 | no | — |
| 769 | C2×C4 | — | 60 | 2 | no | — |
| 770 | C2×C4 | — | 60 | 2 | no | — |
| 771 | C2×C4 | — | 120 | 1 | no | — |
| 772 | C2×C4 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 773 | C8 | — | 6 | 1 | no | — |
| 774 | C8 | — | 10 | 1 | no | — |
| 775 | C8 | — | 30 | 1 | no | — |
| 776 | C8 | D5×#67 | 1 | 2 | yes | — |
| 777 | C2×C3 | — | 8 | 1 | no | — |
| 778 | C2×C3 | — | 10 | 2 | no | — |
| 779 | C2×C3 | — | 20 | 2 | no | — |
| 780 | C2×C3 | #65943 | 1 | 1 | yes | characteristic |
| 781 | C2×C3 | #66109 | 1 | 1 | yes | characteristic |
| 782 | C2×C3 | D5×#137 | 1 | 1 | yes | characteristic |
| 783 | D3 | — | 4 | 1 | no | — |
| 784 | C5 | #83866 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 785 | C22 | — | 4 | 1 | no | — |
| 786 | C22 | — | 4 | 1 | no | — |
| 787 | C22 | — | 4 | 1 | no | — |
| 788 | C22 | — | 5 | 2 | no | — |
| 789 | C22 | — | 6 | 1 | no | — |
| 790 | C22 | — | 6 | 1 | no | — |
| 791 | C22 | — | 6 | 1 | no | — |
| 792 | C22 | — | 10 | 1 | no | — |
| 793 | C22 | — | 10 | 1 | no | — |
| 794 | C22 | — | 10 | 2 | no | — |
| 795 | C22 | — | 20 | 1 | no | — |
| 796 | C22 | — | 20 | 1 | no | — |
| 797 | C22 | — | 40 | 4 | no | — |
| 798 | C22 | D3×D4×D5 | 1 | 1 | yes | characteristic |
| 799 | C4 | — | 4 | 1 | no | — |
| 800 | C4 | — | 6 | 1 | no | — |
| 801 | C4 | — | 10 | 1 | no | — |
| 802 | C4 | — | 10 | 2 | no | — |
| 803 | C4 | — | 12 | 1 | no | — |
| 804 | C4 | — | 12 | 1 | no | — |
| 805 | C4 | — | 30 | 1 | no | — |
| 806 | C4 | — | 30 | 1 | no | — |
| 807 | C4 | — | 60 | 1 | no | — |
| 808 | C4 | — | 60 | 1 | no | — |
| 809 | C4 | #92026 | 1 | 1 | yes | characteristic |
| 810 | C4 | C2×D5×#67 | 1 | 1 | yes | characteristic |
| 811 | C3 | #10612566 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 812 | C2 | — | 8 | 1 | no | — |
| 813 | C2 | — | 10 | 2 | no | — |
| 814 | C2 | — | 12 | 1 | no | — |
| 815 | C2 | — | 20 | 2 | no | — |
| 816 | C2 | D5×#915 | 1 | 1 | yes | characteristic |
| 817 | C2 | #11754081 | 1 | 1 | yes | characteristic |
| 818 | C2 | #11755033 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta