| 1 | #11754497 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11754305 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11751215 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C5×C8×#67 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×C3×#3953 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11748512 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11748414 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11748161 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11748137 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11747970 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11747967 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11747922 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11747909 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11747784 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11747740 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10611172 | — | 3 | 1 | no | maximal, Hall |
| 17 | C22×C3×D20 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#6765 | C22 | 1 | 1 | yes | characteristic |
| 19 | C22×C3×C5×C8 | C22 | 1 | 1 | yes | characteristic |
| 20 | #91819 | C22 | 1 | 1 | yes | characteristic |
| 21 | #91813 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#6706 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C4×C5×#67 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×C5×D3×C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C2×C3×C4⋊Dic5 | C22 | 1 | 1 | yes | characteristic |
| 26 | #91566 | — | 2 | 1 | no | — |
| 27 | #91563 | — | 2 | 1 | no | — |
| 28 | #91552 | — | 2 | 1 | no | — |
| 29 | D5×#217 | — | 2 | 1 | no | — |
| 30 | #91460 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | #91456 | C22 | 1 | 1 | yes | characteristic |
| 32 | #91438 | — | 2 | 1 | no | — |
| 33 | #91428 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | Dic3×D20 | C22 | 1 | 1 | yes | characteristic |
| 35 | #91408 | — | 2 | 1 | no | — |
| 36 | #91407 | — | 2 | 1 | no | — |
| 37 | #91381 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | #91364 | C22 | 1 | 1 | yes | characteristic |
| 39 | #91345 | — | 2 | 1 | no | — |
| 40 | #91338 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | C2×#6653 | C22 | 1 | 1 | yes | characteristic |
| 42 | C2×#6653 | C22 | 1 | 1 | yes | characteristic |
| 43 | #91105 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #91101 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #91100 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | C5×#830 | C22 | 1 | 1 | yes | characteristic |
| 47 | C5×(C2×D3)⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | C5×Dic3⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C5×C8×Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | C3×#3953 | C22 | 1 | 1 | yes | characteristic |
| 51 | C3×#3953 | C22 | 1 | 1 | yes | characteristic |
| 52 | C3×#3953 | C22 | 1 | 1 | yes | characteristic |
| 53 | C3×#3953 | C22 | 1 | 1 | yes | characteristic |
| 54 | #90990 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #90990 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #90974 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #90974 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #90965 | C22 | 1 | 1 | yes | characteristic |
| 59 | #90965 | C22 | 1 | 1 | yes | characteristic |
| 60 | #78760 | — | 5 | 1 | no | maximal, Hall |
| 61 | #65899 | — | 3 | 1 | no | — |
| 62 | #65884 | — | 3 | 1 | no | — |
| 63 | C5×C8×D4 | — | 3 | 1 | no | — |
| 64 | #65404 | — | 3 | 1 | no | — |
| 65 | #65403 | — | 3 | 1 | no | — |
| 66 | #65402 | — | 3 | 1 | no | — |
| 67 | C2×#3953 | D3 | 1 | 1 | yes | characteristic, complemented |
| 68 | #65136 | — | 3 | 1 | no | — |
| 69 | #65133 | — | 3 | 1 | no | — |
| 70 | #65026 | — | 3 | 1 | no | — |
| 71 | #65023 | — | 3 | 1 | no | — |
| 72 | #65021 | — | 3 | 1 | no | — |
| 73 | #65011 | — | 3 | 1 | no | — |
| 74 | #64986 | — | 3 | 1 | no | — |
| 75 | C4×D40 | — | 3 | 1 | no | — |
| 76 | C23×C3×D5 | — | 2 | 1 | no | — |
| 77 | C22×C3×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 78 | C2×#1220 | — | 2 | 1 | no | — |
| 79 | C2×D60 | C23 | 1 | 1 | yes | characteristic |
| 80 | C2×Dic30 | C23 | 1 | 1 | yes | characteristic |
| 81 | C2×C5×#67 | D4 | 1 | 1 | yes | characteristic |
| 82 | C2×C4×C5×D3 | C23 | 1 | 1 | yes | characteristic |
| 83 | C22×C3×Dic5 | — | 2 | 1 | no | — |
| 84 | C2×C3×D20 | — | 2 | 2 | no | — |
| 85 | C2×C3×D20 | — | 2 | 1 | no | — |
| 86 | C2×C3×D20 | — | 4 | 1 | no | — |
| 87 | C2×C3×D20 | C23 | 1 | 1 | yes | characteristic |
| 88 | C2×C3×D20 | C23 | 1 | 1 | yes | characteristic |
| 89 | C2×#1203 | — | 2 | 1 | no | — |
| 90 | C2×#1201 | — | 2 | 1 | no | — |
| 91 | C2×#1201 | — | 2 | 1 | no | — |
| 92 | C2×#1200 | — | 2 | 1 | no | — |
| 93 | C2×D5×Dic3 | — | 2 | 1 | no | — |
| 94 | C2×D5×Dic3 | — | 2 | 1 | no | — |
| 95 | #6765 | — | 2 | 2 | no | — |
| 96 | #6765 | — | 4 | 1 | no | — |
| 97 | C2×C3×C5×C8 | — | 4 | 1 | no | — |
| 98 | C2×C3×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 99 | C2×C3×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 100 | #6719 | — | 2 | 1 | no | — |
| 101 | #6714 | — | 2 | 1 | no | — |
| 102 | C4⋊Dic15 | C23 | 1 | 1 | yes | characteristic |
| 103 | C4⋊Dic15 | C23 | 1 | 1 | yes | characteristic |
| 104 | #6712 | — | 2 | 1 | no | — |
| 105 | #6706 | — | 4 | 1 | no | — |
| 106 | C5×#217 | D4 | 1 | 1 | yes | characteristic |
| 107 | C5×(C2×D3)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 108 | C5×Dic3⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 109 | C4×C5×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 110 | C2×C5×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 111 | C2×C5×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 112 | C5×D3×C8 | — | 4 | 1 | no | — |
| 113 | C3×C4⋊Dic5 | — | 2 | 1 | no | — |
| 114 | C3×C4⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 115 | C3×C4⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 116 | #6669 | — | 2 | 1 | no | — |
| 117 | #6668 | — | 2 | 1 | no | — |
| 118 | #6667 | — | 2 | 1 | no | — |
| 119 | #6667 | — | 2 | 1 | no | — |
| 120 | (C2×D3)⋊Dic5 | — | 2 | 1 | no | — |
| 121 | #6665 | — | 2 | 1 | no | — |
| 122 | #6665 | — | 2 | 1 | no | — |
| 123 | #6665 | — | 2 | 1 | no | — |
| 124 | #6665 | — | 2 | 1 | no | — |
| 125 | Dic3×Dic5 | — | 2 | 1 | no | — |
| 126 | #6653 | — | 2 | 2 | no | — |
| 127 | #6653 | — | 4 | 1 | no | — |
| 128 | #5806 | — | 5 | 1 | no | — |
| 129 | #5514 | — | 5 | 1 | no | — |
| 130 | C2×C3×#102 | — | 5 | 1 | no | — |
| 131 | #5217 | — | 5 | 1 | no | — |
| 132 | #5114 | — | 5 | 1 | no | — |
| 133 | C8×#67 | D5 | 1 | 1 | yes | characteristic, complemented |
| 134 | #4970 | — | 5 | 1 | no | — |
| 135 | #4787 | — | 5 | 1 | no | — |
| 136 | #4781 | — | 5 | 1 | no | — |
| 137 | #4779 | — | 5 | 1 | no | — |
| 138 | #4775 | — | 5 | 1 | no | — |
| 139 | #4772 | — | 5 | 1 | no | — |
| 140 | #4768 | — | 5 | 1 | no | — |
| 141 | #4763 | — | 5 | 1 | no | — |
| 142 | #4756 | — | 5 | 1 | no | — |
| 143 | C2×#709 | — | 3 | 1 | no | — |
| 144 | C22×D20 | C2×D3 | 1 | 1 | yes | characteristic |
| 145 | C22×C5×C8 | — | 3 | 1 | no | — |
| 146 | C22×C5×C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 147 | C4×C5×D4 | — | 3 | 1 | no | — |
| 148 | #4085 | — | 6 | 1 | no | — |
| 149 | #4083 | — | 6 | 1 | no | — |
| 150 | #4076 | — | 3 | 1 | no | — |
| 151 | #4076 | — | 3 | 1 | no | — |
| 152 | #4076 | — | 3 | 1 | no | — |
| 153 | #4072 | — | 3 | 1 | no | — |
| 154 | C2×C4⋊Dic5 | C2×D3 | 1 | 1 | yes | characteristic |
| 155 | #4070 | — | 3 | 1 | no | — |
| 156 | C2×D40 | — | 3 | 1 | no | — |
| 157 | C2×D40 | — | 3 | 1 | no | — |
| 158 | C2×#677 | — | 3 | 1 | no | — |
| 159 | #4044 | — | 6 | 1 | no | — |
| 160 | #4040 | — | 6 | 1 | no | — |
| 161 | #4030 | — | 6 | 1 | no | — |
| 162 | #4029 | — | 6 | 1 | no | — |
| 163 | #4027 | — | 6 | 1 | no | — |
| 164 | D5×C22⋊C4 | — | 6 | 1 | no | — |
| 165 | #4021 | — | 3 | 1 | no | — |
| 166 | C4×D20 | — | 3 | 1 | no | — |
| 167 | C4×D20 | — | 3 | 1 | no | — |
| 168 | #4016 | — | 3 | 1 | no | — |
| 169 | C5×C4⋊C8 | — | 3 | 1 | no | — |
| 170 | C5×C22⋊C8 | — | 3 | 1 | no | — |
| 171 | C5×C22⋊C8 | — | 3 | 1 | no | — |
| 172 | C4×C5×C8 | — | 3 | 1 | no | — |
| 173 | #3953 | — | 3 | 1 | no | — |
| 174 | #3953 | — | 3 | 1 | no | — |
| 175 | #3953 | — | 3 | 1 | no | — |
| 176 | #3953 | C2×D3 | 1 | 1 | yes | characteristic |
| 177 | #3953 | C2×D3 | 1 | 1 | yes | characteristic |
| 178 | #3953 | C2×D3 | 1 | 1 | yes | characteristic |
| 179 | #3953 | C2×D3 | 1 | 1 | yes | characteristic |
| 180 | #3950 | — | 3 | 1 | no | — |
| 181 | #3950 | — | 3 | 1 | no | — |
| 182 | #3949 | — | 3 | 1 | no | — |
| 183 | #3948 | — | 3 | 1 | no | — |
| 184 | #3948 | — | 3 | 1 | no | — |
| 185 | #3948 | — | 3 | 1 | no | — |
| 186 | #3297 | — | 15 | 1 | no | Sylow |
| 187 | C23×C3×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 188 | C22×D15 | — | 2 | 1 | no | — |
| 189 | C22×C5×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | C22×C3×D5 | — | 2 | 1 | no | — |
| 191 | C22×C3×D5 | — | 2 | 1 | no | — |
| 192 | C22×C3×D5 | — | 4 | 2 | no | — |
| 193 | C22×C3×D5 | — | 4 | 2 | no | — |
| 194 | C22×C3×D5 | — | 8 | 1 | no | — |
| 195 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 196 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 197 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 198 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 199 | #1220 | — | 4 | 2 | no | — |
| 200 | C2×Dic15 | — | 2 | 1 | no | — |
| 201 | C2×Dic15 | — | 2 | 1 | no | — |
| 202 | C2×Dic15 | — | 2 | 1 | no | — |
| 203 | D60 | — | 2 | 1 | no | — |
| 204 | D60 | — | 2 | 1 | no | — |
| 205 | Dic30 | — | 2 | 1 | no | — |
| 206 | Dic30 | — | 2 | 1 | no | — |
| 207 | C5×#67 | — | 2 | 2 | no | — |
| 208 | C2×C5×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 209 | C2×C5×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 210 | C2×C5×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 211 | C4×C5×D3 | — | 2 | 1 | no | — |
| 212 | C4×C5×D3 | — | 2 | 1 | no | — |
| 213 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 214 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 215 | C2×C3×Dic5 | — | 8 | 1 | no | — |
| 216 | C3×D20 | — | 2 | 1 | no | — |
| 217 | C3×D20 | — | 2 | 1 | no | — |
| 218 | C3×D20 | — | 2 | 1 | no | — |
| 219 | C3×D20 | — | 4 | 2 | no | — |
| 220 | C3×D20 | #41 | 1 | 2 | yes | — |
| 221 | #1203 | — | 8 | 1 | no | — |
| 222 | #1201 | — | 4 | 2 | no | — |
| 223 | #1201 | — | 8 | 1 | no | — |
| 224 | #1200 | — | 8 | 1 | no | — |
| 225 | D5×Dic3 | — | 4 | 2 | no | — |
| 226 | D5×Dic3 | — | 8 | 1 | no | — |
| 227 | C3×C5×C8 | — | 2 | 1 | no | — |
| 228 | C3×C5×C8 | — | 2 | 1 | no | — |
| 229 | C5×C3⋊C8 | — | 2 | 1 | no | — |
| 230 | C5×C3⋊C8 | — | 2 | 1 | no | — |
| 231 | C22×C3×D4 | — | 5 | 1 | no | — |
| 232 | C2×#237 | — | 5 | 1 | no | — |
| 233 | C22×C3×C8 | C2×D5 | 1 | 1 | yes | characteristic |
| 234 | C2×C3×C4⋊C4 | — | 5 | 1 | no | — |
| 235 | #953 | — | 10 | 1 | no | — |
| 236 | C2×#217 | — | 10 | 1 | no | — |
| 237 | #939 | — | 10 | 1 | no | — |
| 238 | #938 | — | 5 | 1 | no | — |
| 239 | #936 | — | 5 | 1 | no | — |
| 240 | #935 | — | 10 | 1 | no | — |
| 241 | D4×Dic3 | — | 5 | 1 | no | — |
| 242 | C2×#213 | — | 5 | 1 | no | — |
| 243 | C2×#213 | — | 5 | 1 | no | — |
| 244 | #930 | — | 5 | 1 | no | — |
| 245 | #930 | — | 10 | 1 | no | — |
| 246 | C4×#67 | — | 10 | 1 | no | — |
| 247 | C4×#67 | C2×D5 | 1 | 1 | yes | characteristic |
| 248 | #924 | — | 5 | 1 | no | — |
| 249 | C2×#204 | — | 5 | 1 | no | — |
| 250 | C2×D3×C8 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 251 | #898 | — | 10 | 1 | no | — |
| 252 | #895 | — | 5 | 1 | no | — |
| 253 | #894 | — | 10 | 1 | no | — |
| 254 | #893 | — | 5 | 1 | no | — |
| 255 | #892 | — | 5 | 1 | no | — |
| 256 | #890 | — | 5 | 1 | no | — |
| 257 | C3×#102 | — | 5 | 1 | no | — |
| 258 | C3×#102 | — | 5 | 1 | no | — |
| 259 | C3×#102 | — | 5 | 1 | no | — |
| 260 | C3×#102 | — | 5 | 1 | no | — |
| 261 | #832 | — | 5 | 1 | no | — |
| 262 | #832 | — | 5 | 1 | no | — |
| 263 | #830 | C2×D5 | 1 | 1 | yes | characteristic |
| 264 | #821 | — | 5 | 1 | no | — |
| 265 | (C2×D3)⋊C8 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 266 | #817 | — | 5 | 1 | no | — |
| 267 | #816 | — | 5 | 1 | no | — |
| 268 | Dic3⋊C8 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 269 | C8×Dic3 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 270 | #810 | — | 5 | 1 | no | — |
| 271 | #810 | — | 5 | 1 | no | — |
| 272 | #807 | — | 5 | 1 | no | — |
| 273 | #807 | — | 5 | 1 | no | — |
| 274 | C23×D5 | — | 2 | 1 | no | — |
| 275 | C2×C5×D4 | — | 3 | 1 | no | — |
| 276 | C22×C4×C5 | — | 3 | 1 | no | — |
| 277 | C22×C4×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 278 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 279 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 280 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 281 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 282 | C22×Dic5 | — | 2 | 1 | no | — |
| 283 | #709 | — | 6 | 2 | no | — |
| 284 | #709 | — | 12 | 1 | no | — |
| 285 | C2×D20 | — | 2 | 2 | no | — |
| 286 | C2×D20 | — | 2 | 1 | no | — |
| 287 | C2×D20 | — | 3 | 1 | no | — |
| 288 | C2×D20 | — | 4 | 1 | no | — |
| 289 | C2×D20 | C22×D3 | 1 | 1 | yes | characteristic |
| 290 | C2×D20 | C22×D3 | 1 | 1 | yes | characteristic |
| 291 | C2×C4×D5 | — | 6 | 1 | no | — |
| 292 | C2×C4×D5 | — | 6 | 1 | no | — |
| 293 | C2×C4×D5 | — | 6 | 1 | no | — |
| 294 | C2×Dic10 | — | 3 | 1 | no | — |
| 295 | C2×C5×C8 | — | 3 | 1 | no | — |
| 296 | C2×C5×C8 | — | 3 | 1 | no | — |
| 297 | C2×C5×C8 | — | 4 | 1 | no | — |
| 298 | C2×C5×C8 | — | 12 | 1 | no | — |
| 299 | C2×C5×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 300 | C2×C5×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 301 | C5×C4⋊C4 | — | 3 | 1 | no | — |
| 302 | C5×C22⋊C4 | — | 3 | 1 | no | — |
| 303 | C5×C22⋊C4 | — | 3 | 1 | no | — |
| 304 | C42×C5 | — | 3 | 1 | no | — |
| 305 | C22⋊Dic5 | — | 6 | 1 | no | — |
| 306 | C22⋊Dic5 | — | 6 | 1 | no | — |
| 307 | #685 | — | 6 | 1 | no | — |
| 308 | #685 | — | 6 | 1 | no | — |
| 309 | #685 | — | 6 | 1 | no | — |
| 310 | #685 | — | 6 | 1 | no | — |
| 311 | #685 | — | 6 | 1 | no | — |
| 312 | #685 | — | 6 | 1 | no | — |
| 313 | #685 | — | 6 | 1 | no | — |
| 314 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 315 | C4⋊Dic5 | — | 3 | 1 | no | — |
| 316 | C4⋊Dic5 | — | 3 | 1 | no | — |
| 317 | C4⋊Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 318 | C4⋊Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 319 | #683 | — | 6 | 1 | no | — |
| 320 | #683 | — | 6 | 1 | no | — |
| 321 | #683 | — | 6 | 1 | no | — |
| 322 | C4×Dic5 | — | 6 | 1 | no | — |
| 323 | D40 | — | 6 | 2 | no | — |
| 324 | D40 | — | 12 | 1 | no | — |
| 325 | #677 | — | 12 | 1 | no | — |
| 326 | #553 | — | 15 | 1 | no | — |
| 327 | #546 | — | 15 | 1 | no | — |
| 328 | #488 | — | 15 | 1 | no | — |
| 329 | #484 | — | 15 | 1 | no | — |
| 330 | #482 | — | 15 | 1 | no | — |
| 331 | #478 | — | 15 | 1 | no | — |
| 332 | #466 | — | 15 | 1 | no | — |
| 333 | #465 | — | 15 | 1 | no | — |
| 334 | #463 | — | 15 | 1 | no | — |
| 335 | #449 | — | 15 | 1 | no | — |
| 336 | #447 | — | 15 | 1 | no | — |
| 337 | C4×D8 | — | 15 | 1 | no | — |
| 338 | C8×D4 | — | 3 | 1 | no | — |
| 339 | #416 | — | 15 | 1 | no | — |
| 340 | C2×#102 | — | 5 | 1 | no | — |
| 341 | C22×C3×C5 | — | 2 | 1 | no | — |
| 342 | C22×C3×C5 | — | 2 | 1 | no | — |
| 343 | C22×C3×C5 | #135 | 1 | 2 | yes | — |
| 344 | C22×C3×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 345 | C2×D15 | — | 4 | 1 | no | — |
| 346 | C2×D15 | — | 4 | 1 | no | — |
| 347 | C2×D15 | — | 4 | 1 | no | — |
| 348 | C2×C5×D3 | — | 2 | 1 | no | — |
| 349 | C2×C5×D3 | — | 2 | 1 | no | — |
| 350 | C2×C5×D3 | — | 2 | 1 | no | — |
| 351 | C2×C3×D5 | — | 2 | 2 | no | — |
| 352 | C2×C3×D5 | — | 4 | 1 | no | — |
| 353 | C2×C3×D5 | — | 4 | 1 | no | — |
| 354 | C2×C3×D5 | — | 4 | 1 | no | — |
| 355 | C2×C3×D5 | — | 4 | 1 | no | — |
| 356 | C2×C3×D5 | — | 4 | 1 | no | — |
| 357 | C2×C3×D5 | — | 8 | 4 | no | — |
| 358 | C3×C4×C5 | — | 2 | 1 | no | — |
| 359 | C3×C4×C5 | C2×#41 | 1 | 1 | yes | characteristic |
| 360 | C3×C4×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 361 | Dic15 | — | 4 | 1 | no | — |
| 362 | Dic15 | — | 4 | 1 | no | — |
| 363 | Dic15 | — | 4 | 1 | no | — |
| 364 | C3×Dic5 | — | 4 | 1 | no | — |
| 365 | C3×Dic5 | — | 4 | 1 | no | — |
| 366 | C5×Dic3 | — | 2 | 1 | no | — |
| 367 | C5×Dic3 | — | 2 | 1 | no | — |
| 368 | C5×Dic3 | — | 2 | 1 | no | — |
| 369 | C24×C3 | — | 10 | 1 | no | — |
| 370 | C2×C3×D4 | — | 5 | 1 | no | — |
| 371 | C2×C3×D4 | — | 5 | 1 | no | — |
| 372 | C2×C3×D4 | — | 10 | 2 | no | — |
| 373 | C2×C3×D4 | — | 10 | 1 | no | — |
| 374 | C2×C3×D4 | — | 20 | 1 | no | — |
| 375 | C22×C3×C4 | — | 10 | 1 | no | — |
| 376 | C22×C3×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 377 | C2×#67 | — | 10 | 1 | no | — |
| 378 | C2×#67 | — | 10 | 1 | no | — |
| 379 | C2×#67 | — | 10 | 1 | no | — |
| 380 | C2×#67 | D20 | 1 | 1 | yes | characteristic |
| 381 | C22×Dic3 | — | 10 | 1 | no | — |
| 382 | C22×Dic3 | — | 10 | 1 | no | — |
| 383 | #237 | — | 10 | 2 | no | — |
| 384 | #237 | — | 20 | 1 | no | — |
| 385 | C2×D12 | — | 5 | 1 | no | — |
| 386 | C2×D12 | — | 10 | 1 | no | — |
| 387 | C2×C4×D3 | — | 10 | 1 | no | — |
| 388 | C2×C4×D3 | C22×D5 | 1 | 1 | yes | characteristic |
| 389 | C2×Dic6 | — | 5 | 1 | no | — |
| 390 | C2×C3×C8 | — | 4 | 1 | no | — |
| 391 | C2×C3×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 392 | C2×C3×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 393 | C3×C4⋊C4 | — | 5 | 1 | no | — |
| 394 | C3×C4⋊C4 | — | 5 | 1 | no | — |
| 395 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 396 | #217 | — | 10 | 1 | no | — |
| 397 | #217 | — | 10 | 1 | no | — |
| 398 | #217 | — | 10 | 1 | no | — |
| 399 | #217 | — | 10 | 1 | no | — |
| 400 | #217 | — | 10 | 1 | no | — |
| 401 | #217 | D20 | 1 | 1 | yes | characteristic |
| 402 | #213 | — | 10 | 2 | no | — |
| 403 | #213 | — | 20 | 1 | no | — |
| 404 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 405 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 406 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 407 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 408 | (C2×D3)⋊C4 | D20 | 1 | 1 | yes | characteristic |
| 409 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 410 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 411 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 412 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 413 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 414 | Dic3⋊C4 | D20 | 1 | 1 | yes | characteristic |
| 415 | C4×Dic3 | — | 10 | 1 | no | — |
| 416 | C4×Dic3 | C22×D5 | 1 | 1 | yes | characteristic |
| 417 | C2×C3⋊C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 418 | C2×C3⋊C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 419 | #204 | — | 20 | 1 | no | — |
| 420 | D3×C8 | — | 4 | 1 | no | — |
| 421 | C23×C5 | — | 3 | 1 | no | — |
| 422 | C23×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 423 | C22×D5 | — | 2 | 1 | no | — |
| 424 | C22×D5 | — | 2 | 1 | no | — |
| 425 | C22×D5 | — | 4 | 2 | no | — |
| 426 | C22×D5 | — | 4 | 2 | no | — |
| 427 | C22×D5 | — | 6 | 1 | no | — |
| 428 | C22×D5 | — | 8 | 1 | no | — |
| 429 | C5×D4 | — | 6 | 2 | no | — |
| 430 | C2×C4×C5 | — | 2 | 1 | no | — |
| 431 | C2×C4×C5 | — | 2 | 1 | no | — |
| 432 | C2×C4×C5 | — | 3 | 1 | no | — |
| 433 | C2×C4×C5 | — | 3 | 1 | no | — |
| 434 | C2×C4×C5 | — | 3 | 1 | no | — |
| 435 | C2×C4×C5 | — | 6 | 1 | no | — |
| 436 | C2×C4×C5 | — | 6 | 1 | no | — |
| 437 | C2×C4×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 438 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 439 | C22⋊D5 | — | 12 | 2 | no | — |
| 440 | C22⋊D5 | — | 12 | 2 | no | — |
| 441 | C22⋊D5 | — | 24 | 1 | no | — |
| 442 | C22⋊D5 | — | 24 | 1 | no | — |
| 443 | C2×Dic5 | — | 2 | 1 | no | — |
| 444 | C2×Dic5 | — | 2 | 1 | no | — |
| 445 | C2×Dic5 | — | 6 | 1 | no | — |
| 446 | C2×Dic5 | — | 6 | 1 | no | — |
| 447 | C2×Dic5 | — | 6 | 1 | no | — |
| 448 | C2×Dic5 | — | 8 | 1 | no | — |
| 449 | D20 | — | 2 | 1 | no | — |
| 450 | D20 | — | 2 | 1 | no | — |
| 451 | D20 | — | 2 | 1 | no | — |
| 452 | D20 | — | 4 | 2 | no | — |
| 453 | D20 | — | 6 | 1 | no | — |
| 454 | D20 | — | 6 | 1 | no | — |
| 455 | D20 | #235 | 1 | 2 | yes | — |
| 456 | C4×D5 | — | 12 | 2 | no | — |
| 457 | C4×D5 | — | 24 | 1 | no | — |
| 458 | C4×D5 | — | 24 | 1 | no | — |
| 459 | Dic10 | — | 6 | 1 | no | — |
| 460 | Dic10 | — | 6 | 1 | no | — |
| 461 | C5×C8 | — | 2 | 1 | no | — |
| 462 | C5×C8 | — | 2 | 1 | no | — |
| 463 | C5×C8 | — | 6 | 1 | no | — |
| 464 | C5×C8 | — | 6 | 1 | no | — |
| 465 | C2×#41 | — | 15 | 1 | no | — |
| 466 | C22×D4 | — | 5 | 1 | no | — |
| 467 | C2×SD16 | — | 15 | 1 | no | — |
| 468 | C2×D8 | — | 15 | 1 | no | — |
| 469 | C2×D8 | — | 15 | 1 | no | — |
| 470 | C22×C8 | — | 3 | 1 | no | — |
| 471 | C22×C8 | D3×D5 | 1 | 1 | yes | characteristic |
| 472 | #126 | — | 30 | 1 | no | — |
| 473 | #125 | — | 15 | 1 | no | — |
| 474 | #124 | — | 15 | 1 | no | — |
| 475 | #123 | — | 30 | 1 | no | — |
| 476 | #123 | — | 30 | 1 | no | — |
| 477 | C22⋊Q8 | — | 15 | 1 | no | — |
| 478 | #121 | — | 15 | 1 | no | — |
| 479 | #121 | — | 15 | 1 | no | — |
| 480 | #121 | — | 15 | 1 | no | — |
| 481 | #121 | — | 30 | 1 | no | — |
| 482 | #121 | — | 30 | 1 | no | — |
| 483 | #120 | — | 30 | 1 | no | — |
| 484 | C4×D4 | — | 3 | 1 | no | — |
| 485 | C4×D4 | — | 15 | 1 | no | — |
| 486 | C4×D4 | — | 15 | 1 | no | — |
| 487 | C4×D4 | — | 30 | 1 | no | — |
| 488 | #117 | — | 15 | 1 | no | — |
| 489 | C2×C4⋊C4 | — | 5 | 1 | no | — |
| 490 | C2×C22⋊C4 | — | 30 | 1 | no | — |
| 491 | #107 | — | 15 | 1 | no | — |
| 492 | #107 | — | 15 | 1 | no | — |
| 493 | #106 | — | 15 | 1 | no | — |
| 494 | C4⋊C8 | — | 3 | 1 | no | — |
| 495 | #103 | — | 15 | 1 | no | — |
| 496 | #103 | — | 15 | 1 | no | — |
| 497 | #103 | — | 15 | 1 | no | — |
| 498 | #102 | — | 5 | 1 | no | — |
| 499 | #102 | — | 5 | 1 | no | — |
| 500 | #102 | — | 5 | 1 | no | — |
| 501 | #102 | — | 5 | 1 | no | — |
| 502 | #102 | — | 15 | 1 | no | — |
| 503 | #102 | — | 15 | 1 | no | — |
| 504 | #102 | — | 15 | 1 | no | — |
| 505 | C22⋊C8 | — | 3 | 1 | no | — |
| 506 | C22⋊C8 | — | 3 | 1 | no | — |
| 507 | C4×C8 | — | 3 | 1 | no | — |
| 508 | C2×C3×C5 | — | 2 | 2 | no | — |
| 509 | C2×C3×C5 | #546 | 1 | 1 | yes | characteristic |
| 510 | C2×C3×C5 | C2×#135 | 1 | 1 | yes | characteristic |
| 511 | C2×C3×C5 | #576 | 1 | 1 | yes | characteristic |
| 512 | D15 | — | 8 | 1 | no | — |
| 513 | C3×D5 | — | 4 | 2 | no | — |
| 514 | C3×D5 | — | 8 | 1 | no | — |
| 515 | C5×D3 | — | 4 | 1 | no | — |
| 516 | C23×C3 | — | 10 | 1 | no | — |
| 517 | C23×C3 | — | 10 | 1 | no | — |
| 518 | C23×C3 | — | 20 | 2 | no | — |
| 519 | C23×C3 | — | 20 | 2 | no | — |
| 520 | C23×C3 | — | 40 | 1 | no | — |
| 521 | C23×C3 | C2×D20 | 1 | 1 | yes | characteristic |
| 522 | C22×D3 | — | 10 | 1 | no | — |
| 523 | C22×D3 | C2×D20 | 1 | 1 | yes | characteristic |
| 524 | C3×D4 | — | 5 | 2 | no | — |
| 525 | C3×D4 | — | 10 | 1 | no | — |
| 526 | C3×D4 | — | 10 | 1 | no | — |
| 527 | C3×D4 | — | 10 | 1 | no | — |
| 528 | C3×D4 | — | 20 | 2 | no | — |
| 529 | C2×C3×C4 | — | 2 | 1 | no | — |
| 530 | C2×C3×C4 | — | 2 | 1 | no | — |
| 531 | C2×C3×C4 | — | 10 | 1 | no | — |
| 532 | C2×C3×C4 | — | 10 | 1 | no | — |
| 533 | C2×C3×C4 | — | 40 | 1 | no | — |
| 534 | C2×C3×C4 | C2×D20 | 1 | 1 | yes | characteristic |
| 535 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 536 | #67 | — | 2 | 2 | no | — |
| 537 | #67 | — | 20 | 2 | no | — |
| 538 | #67 | — | 20 | 2 | no | — |
| 539 | #67 | — | 40 | 1 | no | — |
| 540 | C2×Dic3 | — | 10 | 1 | no | — |
| 541 | C2×Dic3 | — | 10 | 1 | no | — |
| 542 | C2×Dic3 | — | 10 | 1 | no | — |
| 543 | C2×Dic3 | — | 20 | 2 | no | — |
| 544 | C2×Dic3 | — | 40 | 1 | no | — |
| 545 | C2×Dic3 | C2×D20 | 1 | 1 | yes | characteristic |
| 546 | C2×Dic3 | C2×D20 | 1 | 1 | yes | characteristic |
| 547 | C2×Dic3 | C2×D20 | 1 | 1 | yes | characteristic |
| 548 | D12 | — | 10 | 1 | no | — |
| 549 | D12 | — | 10 | 1 | no | — |
| 550 | D12 | — | 40 | 1 | no | — |
| 551 | C4×D3 | — | 2 | 1 | no | — |
| 552 | C4×D3 | — | 2 | 1 | no | — |
| 553 | C4×D3 | — | 40 | 1 | no | — |
| 554 | Dic6 | — | 10 | 1 | no | — |
| 555 | Dic6 | — | 10 | 1 | no | — |
| 556 | C3×C8 | — | 2 | 1 | no | — |
| 557 | C3×C8 | — | 2 | 1 | no | — |
| 558 | C3⋊C8 | — | 2 | 1 | no | — |
| 559 | C3⋊C8 | — | 2 | 1 | no | — |
| 560 | C22×C5 | — | 2 | 1 | no | — |
| 561 | C22×C5 | — | 2 | 1 | no | — |
| 562 | C22×C5 | — | 6 | 1 | no | — |
| 563 | C22×C5 | — | 6 | 1 | no | — |
| 564 | C22×C5 | — | 6 | 1 | no | — |
| 565 | C22×C5 | #916 | 1 | 2 | yes | — |
| 566 | C22×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 567 | C2×D5 | — | 2 | 2 | no | — |
| 568 | C2×D5 | — | 4 | 1 | no | — |
| 569 | C2×D5 | — | 4 | 1 | no | — |
| 570 | C2×D5 | — | 4 | 1 | no | — |
| 571 | C2×D5 | — | 4 | 1 | no | — |
| 572 | C2×D5 | — | 4 | 1 | no | — |
| 573 | C2×D5 | — | 8 | 4 | no | — |
| 574 | C2×D5 | — | 12 | 1 | no | — |
| 575 | C2×D5 | — | 12 | 1 | no | — |
| 576 | C2×D5 | — | 12 | 1 | no | — |
| 577 | C4×C5 | — | 2 | 1 | no | — |
| 578 | C4×C5 | — | 6 | 1 | no | — |
| 579 | C4×C5 | — | 6 | 1 | no | — |
| 580 | C4×C5 | — | 6 | 1 | no | — |
| 581 | C4×C5 | C2×#235 | 1 | 1 | yes | characteristic |
| 582 | C4×C5 | #1004 | 1 | 1 | yes | characteristic |
| 583 | Dic5 | — | 4 | 1 | no | — |
| 584 | Dic5 | — | 4 | 1 | no | — |
| 585 | Dic5 | — | 12 | 1 | no | — |
| 586 | Dic5 | — | 12 | 1 | no | — |
| 587 | Dic5 | — | 12 | 1 | no | — |
| 588 | C24 | — | 10 | 1 | no | — |
| 589 | #41 | — | 30 | 2 | no | — |
| 590 | #41 | — | 60 | 1 | no | — |
| 591 | C2×Q8 | — | 15 | 1 | no | — |
| 592 | C2×D4 | — | 3 | 1 | no | — |
| 593 | C2×D4 | — | 5 | 1 | no | — |
| 594 | C2×D4 | — | 5 | 1 | no | — |
| 595 | C2×D4 | — | 10 | 2 | no | — |
| 596 | C2×D4 | — | 10 | 1 | no | — |
| 597 | C2×D4 | — | 15 | 1 | no | — |
| 598 | C2×D4 | — | 20 | 1 | no | — |
| 599 | C2×D4 | — | 30 | 1 | no | — |
| 600 | C2×D4 | — | 30 | 1 | no | — |
| 601 | C2×D4 | — | 30 | 1 | no | — |
| 602 | C2×D4 | — | 30 | 1 | no | — |
| 603 | C22×C4 | — | 3 | 1 | no | — |
| 604 | C22×C4 | — | 10 | 1 | no | — |
| 605 | C22×C4 | — | 30 | 1 | no | — |
| 606 | C22×C4 | — | 30 | 1 | no | — |
| 607 | C22×C4 | — | 30 | 1 | no | — |
| 608 | C22×C4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 609 | SD16 | — | 60 | 1 | no | — |
| 610 | D8 | — | 30 | 2 | no | — |
| 611 | D8 | — | 60 | 1 | no | — |
| 612 | C2×C8 | — | 3 | 1 | no | — |
| 613 | C2×C8 | — | 3 | 1 | no | — |
| 614 | C2×C8 | — | 4 | 1 | no | — |
| 615 | C2×C8 | — | 12 | 1 | no | — |
| 616 | C2×C8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 617 | C2×C8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 618 | C4⋊C4 | — | 3 | 1 | no | — |
| 619 | C4⋊C4 | — | 5 | 1 | no | — |
| 620 | C4⋊C4 | — | 5 | 1 | no | — |
| 621 | C4⋊C4 | — | 10 | 1 | no | — |
| 622 | C4⋊C4 | — | 15 | 1 | no | — |
| 623 | C4⋊C4 | — | 15 | 1 | no | — |
| 624 | C4⋊C4 | — | 30 | 1 | no | — |
| 625 | C4⋊C4 | — | 30 | 1 | no | — |
| 626 | C4⋊C4 | — | 30 | 1 | no | — |
| 627 | C22⋊C4 | — | 3 | 1 | no | — |
| 628 | C22⋊C4 | — | 3 | 1 | no | — |
| 629 | C22⋊C4 | — | 30 | 1 | no | — |
| 630 | C22⋊C4 | — | 30 | 1 | no | — |
| 631 | C22⋊C4 | — | 30 | 1 | no | — |
| 632 | C22⋊C4 | — | 30 | 1 | no | — |
| 633 | C22⋊C4 | — | 30 | 1 | no | — |
| 634 | C22⋊C4 | — | 30 | 1 | no | — |
| 635 | C22⋊C4 | — | 30 | 1 | no | — |
| 636 | C22⋊C4 | — | 30 | 1 | no | — |
| 637 | C22⋊C4 | — | 30 | 1 | no | — |
| 638 | C42 | — | 3 | 1 | no | — |
| 639 | C42 | — | 30 | 1 | no | — |
| 640 | C3×C5 | #3297 | 1 | 1 | yes | characteristic, complemented, Hall |
| 641 | C22×C3 | — | 2 | 1 | no | — |
| 642 | C22×C3 | — | 2 | 1 | no | — |
| 643 | C22×C3 | — | 10 | 2 | no | — |
| 644 | C22×C3 | — | 20 | 1 | no | — |
| 645 | C22×C3 | — | 20 | 1 | no | — |
| 646 | C22×C3 | — | 20 | 1 | no | — |
| 647 | C22×C3 | — | 20 | 1 | no | — |
| 648 | C22×C3 | — | 20 | 1 | no | — |
| 649 | C22×C3 | — | 40 | 4 | no | — |
| 650 | C22×C3 | #4050 | 1 | 2 | yes | — |
| 651 | C22×C3 | C22×D20 | 1 | 1 | yes | characteristic |
| 652 | C2×D3 | — | 2 | 1 | no | — |
| 653 | C2×D3 | — | 2 | 1 | no | — |
| 654 | C2×D3 | — | 2 | 1 | no | — |
| 655 | C2×D3 | — | 20 | 1 | no | — |
| 656 | C2×D3 | — | 20 | 1 | no | — |
| 657 | C2×D3 | — | 20 | 1 | no | — |
| 658 | C3×C4 | — | 2 | 1 | no | — |
| 659 | C3×C4 | — | 20 | 1 | no | — |
| 660 | C3×C4 | — | 20 | 1 | no | — |
| 661 | C3×C4 | #4144 | 1 | 1 | yes | characteristic |
| 662 | C3×C4 | D5×#41 | 1 | 1 | yes | characteristic |
| 663 | Dic3 | — | 2 | 1 | no | — |
| 664 | Dic3 | — | 2 | 1 | no | — |
| 665 | Dic3 | — | 2 | 1 | no | — |
| 666 | Dic3 | — | 20 | 1 | no | — |
| 667 | Dic3 | — | 20 | 1 | no | — |
| 668 | Dic3 | — | 20 | 1 | no | — |
| 669 | C2×C5 | — | 2 | 2 | no | — |
| 670 | C2×C5 | — | 12 | 1 | no | — |
| 671 | C2×C5 | #5490 | 1 | 1 | yes | characteristic |
| 672 | C2×C5 | #5757 | 1 | 1 | yes | characteristic |
| 673 | C2×C5 | C2×#916 | 1 | 1 | yes | characteristic |
| 674 | D5 | — | 4 | 2 | no | — |
| 675 | D5 | — | 8 | 1 | no | — |
| 676 | D5 | — | 24 | 1 | no | — |
| 677 | C23 | — | 3 | 1 | no | — |
| 678 | C23 | — | 10 | 1 | no | — |
| 679 | C23 | — | 10 | 1 | no | — |
| 680 | C23 | — | 20 | 2 | no | — |
| 681 | C23 | — | 20 | 2 | no | — |
| 682 | C23 | — | 30 | 1 | no | — |
| 683 | C23 | — | 40 | 1 | no | — |
| 684 | C23 | D3×D20 | 1 | 1 | yes | characteristic |
| 685 | Q8 | — | 30 | 1 | no | — |
| 686 | Q8 | — | 30 | 1 | no | — |
| 687 | D4 | — | 5 | 2 | no | — |
| 688 | D4 | — | 6 | 2 | no | — |
| 689 | D4 | — | 10 | 1 | no | — |
| 690 | D4 | — | 10 | 1 | no | — |
| 691 | D4 | — | 10 | 1 | no | — |
| 692 | D4 | — | 20 | 2 | no | — |
| 693 | D4 | — | 30 | 1 | no | — |
| 694 | D4 | — | 30 | 1 | no | — |
| 695 | D4 | — | 60 | 2 | no | — |
| 696 | D4 | — | 60 | 2 | no | — |
| 697 | D4 | — | 120 | 1 | no | — |
| 698 | D4 | — | 120 | 1 | no | — |
| 699 | C2×C4 | — | 2 | 1 | no | — |
| 700 | C2×C4 | — | 2 | 1 | no | — |
| 701 | C2×C4 | — | 3 | 1 | no | — |
| 702 | C2×C4 | — | 3 | 1 | no | — |
| 703 | C2×C4 | — | 3 | 1 | no | — |
| 704 | C2×C4 | — | 6 | 1 | no | — |
| 705 | C2×C4 | — | 6 | 1 | no | — |
| 706 | C2×C4 | — | 10 | 1 | no | — |
| 707 | C2×C4 | — | 10 | 1 | no | — |
| 708 | C2×C4 | — | 30 | 1 | no | — |
| 709 | C2×C4 | — | 30 | 1 | no | — |
| 710 | C2×C4 | — | 30 | 1 | no | — |
| 711 | C2×C4 | — | 40 | 1 | no | — |
| 712 | C2×C4 | — | 60 | 2 | no | — |
| 713 | C2×C4 | — | 120 | 1 | no | — |
| 714 | C2×C4 | — | 120 | 1 | no | — |
| 715 | C2×C4 | D3×D20 | 1 | 1 | yes | characteristic |
| 716 | C2×C4 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 717 | C8 | — | 2 | 1 | no | — |
| 718 | C8 | — | 2 | 1 | no | — |
| 719 | C8 | — | 6 | 1 | no | — |
| 720 | C8 | — | 6 | 1 | no | — |
| 721 | C2×C3 | — | 2 | 2 | no | — |
| 722 | C2×C3 | — | 20 | 2 | no | — |
| 723 | C2×C3 | — | 40 | 1 | no | — |
| 724 | C2×C3 | #65888 | 1 | 1 | yes | characteristic |
| 725 | C2×C3 | C2×#4050 | 1 | 1 | yes | characteristic |
| 726 | C2×C3 | #66086 | 1 | 1 | yes | characteristic |
| 727 | D3 | — | 4 | 1 | no | — |
| 728 | D3 | — | 40 | 1 | no | — |
| 729 | C5 | #78760 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 730 | C22 | — | 2 | 1 | no | — |
| 731 | C22 | — | 2 | 1 | no | — |
| 732 | C22 | — | 6 | 1 | no | — |
| 733 | C22 | — | 6 | 1 | no | — |
| 734 | C22 | — | 6 | 1 | no | — |
| 735 | C22 | — | 10 | 2 | no | — |
| 736 | C22 | — | 20 | 1 | no | — |
| 737 | C22 | — | 20 | 1 | no | — |
| 738 | C22 | — | 20 | 1 | no | — |
| 739 | C22 | — | 20 | 1 | no | — |
| 740 | C22 | — | 20 | 1 | no | — |
| 741 | C22 | — | 40 | 4 | no | — |
| 742 | C22 | — | 60 | 1 | no | — |
| 743 | C22 | — | 60 | 1 | no | — |
| 744 | C22 | — | 60 | 1 | no | — |
| 745 | C22 | #91272 | 1 | 2 | yes | — |
| 746 | C22 | C2×D3×D20 | 1 | 1 | yes | characteristic |
| 747 | C4 | — | 2 | 1 | no | — |
| 748 | C4 | — | 6 | 1 | no | — |
| 749 | C4 | — | 6 | 1 | no | — |
| 750 | C4 | — | 6 | 1 | no | — |
| 751 | C4 | — | 20 | 1 | no | — |
| 752 | C4 | — | 20 | 1 | no | — |
| 753 | C4 | — | 60 | 1 | no | — |
| 754 | C4 | — | 60 | 1 | no | — |
| 755 | C4 | — | 60 | 1 | no | — |
| 756 | C4 | D5×#235 | 1 | 1 | yes | characteristic |
| 757 | C4 | #92049 | 1 | 1 | yes | characteristic |
| 758 | C3 | #10611172 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 759 | C2 | — | 2 | 2 | no | — |
| 760 | C2 | — | 12 | 1 | no | — |
| 761 | C2 | — | 20 | 2 | no | — |
| 762 | C2 | — | 40 | 1 | no | — |
| 763 | C2 | — | 120 | 1 | no | — |
| 764 | C2 | #11753971 | 1 | 1 | yes | characteristic |
| 765 | C2 | C2×#91272 | 1 | 1 | yes | characteristic |
| 766 | C2 | #11754659 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta