| 1 | #11755268 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11755209 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #11751286 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | C5×#5182 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×Q16×Dic5 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11749329 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11749314 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #11749265 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11749232 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #11749190 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | #11749187 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11747985 | C2 | 1 | 1 | yes | maximal, characteristic |
| 13 | #11747887 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11747794 | C2 | 1 | 1 | yes | maximal, characteristic |
| 15 | #11747564 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10612194 | — | 3 | 1 | no | maximal, Hall |
| 17 | C2×C3×C5×Q16 | C22 | 1 | 1 | yes | characteristic |
| 18 | #91836 | C22 | 1 | 1 | yes | characteristic |
| 19 | Q8×Dic15 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#6717 | C22 | 1 | 1 | yes | characteristic |
| 21 | C5×Q8×Dic3 | C22 | 1 | 1 | yes | characteristic |
| 22 | C5×#944 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×C5×#216 | C22 | 1 | 1 | yes | characteristic |
| 24 | C3×Q8×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 25 | C3×Q8×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 26 | #91469 | — | 2 | 1 | no | — |
| 27 | #91469 | C22 | 1 | 1 | yes | characteristic |
| 28 | C4×#1204 | — | 2 | 1 | no | — |
| 29 | C4×#1204 | C22 | 1 | 1 | yes | characteristic |
| 30 | #91429 | — | 2 | 1 | no | — |
| 31 | #91428 | C22 | 1 | 1 | yes | characteristic |
| 32 | #91402 | — | 2 | 1 | no | — |
| 33 | #91388 | — | 2 | 1 | no | — |
| 34 | #91388 | C22 | 1 | 1 | yes | characteristic |
| 35 | #91387 | — | 2 | 1 | no | — |
| 36 | #91384 | — | 2 | 1 | no | — |
| 37 | #91384 | C22 | 1 | 1 | yes | characteristic |
| 38 | #91375 | C22 | 1 | 1 | yes | characteristic |
| 39 | #91345 | — | 2 | 1 | no | — |
| 40 | #91344 | C22 | 1 | 1 | yes | characteristic |
| 41 | #91119 | C22 | 1 | 1 | yes | characteristic |
| 42 | #91105 | C22 | 1 | 1 | yes | characteristic |
| 43 | #91098 | C22 | 1 | 1 | yes | characteristic |
| 44 | C5×#835 | C22 | 1 | 1 | yes | characteristic |
| 45 | C5×#816 | C22 | 1 | 1 | yes | characteristic |
| 46 | C5×Dic3⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 47 | C3×#3967 | C22 | 1 | 1 | yes | characteristic |
| 48 | C3×#3967 | C22 | 1 | 1 | yes | characteristic |
| 49 | C3×#3950 | C22 | 1 | 1 | yes | characteristic |
| 50 | C3×C8×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 51 | #90990 | C22 | 1 | 1 | yes | characteristic |
| 52 | #90986 | C22 | 1 | 1 | yes | characteristic |
| 53 | #90982 | C22 | 1 | 1 | yes | characteristic |
| 54 | #90973 | C22 | 1 | 1 | yes | characteristic |
| 55 | #90972 | C22 | 1 | 1 | yes | characteristic |
| 56 | #90969 | C22 | 1 | 1 | yes | characteristic |
| 57 | #90968 | C22 | 1 | 1 | yes | characteristic |
| 58 | #90951 | C22 | 1 | 1 | yes | characteristic |
| 59 | Dic3×#168 | C22 | 1 | 1 | yes | characteristic |
| 60 | #79700 | — | 5 | 1 | no | maximal, Hall |
| 61 | #66066 | — | 3 | 1 | no | — |
| 62 | #65904 | — | 3 | 1 | no | — |
| 63 | C5×#462 | — | 3 | 1 | no | — |
| 64 | #65474 | — | 3 | 1 | no | — |
| 65 | #65474 | — | 3 | 1 | no | — |
| 66 | Q16×Dic5 | — | 3 | 1 | no | — |
| 67 | Q16×Dic5 | D3 | 1 | 1 | yes | characteristic, complemented |
| 68 | #65370 | — | 3 | 1 | no | — |
| 69 | C4×#688 | — | 3 | 1 | no | — |
| 70 | #65135 | — | 3 | 1 | no | — |
| 71 | #65119 | — | 3 | 1 | no | — |
| 72 | #65089 | — | 3 | 1 | no | — |
| 73 | #65089 | — | 3 | 1 | no | — |
| 74 | #65085 | — | 3 | 1 | no | — |
| 75 | #65085 | — | 3 | 1 | no | — |
| 76 | C2×C3×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 77 | C2×C3×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 78 | C2×D60 | C23 | 1 | 1 | yes | characteristic |
| 79 | C2×C5×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 80 | C2×#1204 | — | 2 | 1 | no | — |
| 81 | C2×#1204 | D4 | 1 | 1 | yes | characteristic |
| 82 | C2×#1200 | — | 2 | 1 | no | — |
| 83 | C3×C5×Q16 | — | 2 | 2 | no | — |
| 84 | C2×C3×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 85 | #6717 | — | 2 | 2 | no | — |
| 86 | #6714 | — | 2 | 1 | no | — |
| 87 | #6714 | — | 2 | 1 | no | — |
| 88 | C4⋊Dic15 | — | 2 | 1 | no | — |
| 89 | C4⋊Dic15 | C23 | 1 | 1 | yes | characteristic |
| 90 | C4×Dic15 | — | 2 | 1 | no | — |
| 91 | C4×Dic15 | C23 | 1 | 1 | yes | characteristic |
| 92 | C2×C3⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 93 | C5×#216 | — | 2 | 2 | no | — |
| 94 | C5×C4⋊Dic3 | — | 2 | 1 | no | — |
| 95 | C5×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 96 | C5×Dic3⋊C4 | — | 2 | 1 | no | — |
| 97 | C5×Dic3⋊C4 | — | 2 | 1 | no | — |
| 98 | C4×C5×Dic3 | — | 2 | 1 | no | — |
| 99 | C4×C5×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 100 | C2×C5×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 101 | C3×C4⋊Dic5 | — | 2 | 1 | no | — |
| 102 | C3×C4⋊Dic5 | — | 2 | 1 | no | — |
| 103 | C3×C4⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 104 | C3×C4⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 105 | C3×C4×Dic5 | — | 2 | 1 | no | — |
| 106 | C3×C4×Dic5 | — | 2 | 1 | no | — |
| 107 | C3×C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 108 | C2×C3×#168 | C23 | 1 | 1 | yes | characteristic |
| 109 | Dic3⋊Dic5 | — | 2 | 1 | no | — |
| 110 | Dic3⋊Dic5 | — | 2 | 1 | no | — |
| 111 | Dic3⋊Dic5 | — | 2 | 1 | no | — |
| 112 | Dic3⋊Dic5 | — | 2 | 1 | no | — |
| 113 | Dic3⋊Dic5 | D4 | 1 | 1 | yes | characteristic |
| 114 | #6669 | — | 2 | 1 | no | — |
| 115 | #6669 | D4 | 1 | 1 | yes | characteristic |
| 116 | #6668 | — | 2 | 1 | no | — |
| 117 | #6668 | D4 | 1 | 1 | yes | characteristic |
| 118 | #6667 | — | 2 | 1 | no | — |
| 119 | #6667 | — | 2 | 1 | no | — |
| 120 | #6667 | — | 2 | 1 | no | — |
| 121 | Dic3×Dic5 | — | 2 | 1 | no | — |
| 122 | #5569 | — | 5 | 1 | no | — |
| 123 | #5568 | — | 5 | 1 | no | — |
| 124 | C3×C4×Q16 | — | 5 | 1 | no | — |
| 125 | #5185 | — | 5 | 1 | no | — |
| 126 | #5182 | D5 | 1 | 1 | yes | characteristic, complemented |
| 127 | #5028 | — | 5 | 1 | no | — |
| 128 | #5022 | — | 5 | 1 | no | — |
| 129 | #4890 | — | 5 | 1 | no | — |
| 130 | #4877 | — | 5 | 1 | no | — |
| 131 | #4800 | — | 5 | 1 | no | — |
| 132 | #4792 | — | 5 | 1 | no | — |
| 133 | #4790 | — | 5 | 1 | no | — |
| 134 | #4788 | — | 5 | 1 | no | — |
| 135 | #4697 | — | 5 | 1 | no | — |
| 136 | C8×Dic6 | — | 5 | 1 | no | — |
| 137 | C2×C5×Q16 | — | 3 | 1 | no | — |
| 138 | C2×C5×Q16 | C2×D3 | 1 | 1 | yes | characteristic |
| 139 | C5×C4⋊Q8 | — | 3 | 1 | no | — |
| 140 | C4×C5×Q8 | — | 3 | 1 | no | — |
| 141 | #4093 | — | 3 | 1 | no | — |
| 142 | #4093 | — | 3 | 1 | no | — |
| 143 | Q8×Dic5 | — | 3 | 1 | no | — |
| 144 | Q8×Dic5 | — | 3 | 1 | no | — |
| 145 | Q8×Dic5 | C2×D3 | 1 | 1 | yes | characteristic |
| 146 | Q8×Dic5 | C2×D3 | 1 | 1 | yes | characteristic |
| 147 | C2×#688 | — | 3 | 1 | no | — |
| 148 | #4044 | — | 6 | 1 | no | — |
| 149 | #4044 | — | 6 | 1 | no | — |
| 150 | #4043 | — | 6 | 1 | no | — |
| 151 | #4038 | — | 6 | 1 | no | — |
| 152 | #4036 | — | 3 | 1 | no | — |
| 153 | #4036 | — | 3 | 1 | no | — |
| 154 | #4036 | — | 6 | 1 | no | — |
| 155 | #4036 | — | 6 | 1 | no | — |
| 156 | C4×D20 | — | 3 | 1 | no | — |
| 157 | #4015 | — | 3 | 1 | no | — |
| 158 | #4015 | — | 6 | 1 | no | — |
| 159 | C4×Dic10 | — | 3 | 1 | no | — |
| 160 | C4×Dic10 | — | 6 | 1 | no | — |
| 161 | C5×C4⋊C8 | — | 3 | 1 | no | — |
| 162 | C5×#103 | — | 3 | 1 | no | — |
| 163 | C5×#103 | — | 3 | 1 | no | — |
| 164 | #3967 | — | 3 | 1 | no | — |
| 165 | #3967 | — | 3 | 1 | no | — |
| 166 | #3967 | — | 3 | 1 | no | — |
| 167 | #3967 | C2×D3 | 1 | 1 | yes | characteristic |
| 168 | #3967 | C2×D3 | 1 | 1 | yes | characteristic |
| 169 | #3953 | — | 3 | 1 | no | — |
| 170 | #3953 | — | 3 | 1 | no | — |
| 171 | #3950 | — | 3 | 1 | no | — |
| 172 | #3950 | C2×D3 | 1 | 1 | yes | characteristic |
| 173 | #3946 | — | 3 | 1 | no | — |
| 174 | #3946 | — | 3 | 1 | no | — |
| 175 | C8×Dic5 | — | 3 | 1 | no | — |
| 176 | C8×Dic5 | C2×D3 | 1 | 1 | yes | characteristic |
| 177 | #3941 | — | 3 | 1 | no | — |
| 178 | #3940 | — | 3 | 1 | no | — |
| 179 | C4×#168 | — | 3 | 1 | no | — |
| 180 | #3364 | — | 15 | 1 | no | Sylow |
| 181 | C22×D15 | — | 2 | 1 | no | — |
| 182 | C3×C5×Q8 | — | 2 | 1 | no | — |
| 183 | C3×C5×Q8 | — | 2 | 1 | no | — |
| 184 | C3×C5×Q8 | — | 2 | 1 | no | — |
| 185 | C3×C5×Q8 | #41 | 1 | 2 | yes | — |
| 186 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 187 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 188 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 189 | C2×Dic15 | — | 2 | 1 | no | — |
| 190 | C2×Dic15 | C2×D4 | 1 | 1 | yes | characteristic |
| 191 | C2×Dic15 | C2×D4 | 1 | 1 | yes | characteristic |
| 192 | D60 | — | 2 | 1 | no | — |
| 193 | D60 | — | 2 | 1 | no | — |
| 194 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 195 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 196 | C2×C5×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 197 | C2×C5×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 198 | C5×Dic6 | — | 2 | 1 | no | — |
| 199 | C5×Dic6 | — | 2 | 1 | no | — |
| 200 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 201 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 202 | C2×C3×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 203 | C2×C3×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 204 | #1204 | — | 2 | 2 | no | — |
| 205 | #1204 | — | 4 | 2 | no | — |
| 206 | #1200 | — | 4 | 2 | no | — |
| 207 | C3×C5×C8 | — | 2 | 1 | no | — |
| 208 | C3⋊#168 | — | 2 | 1 | no | — |
| 209 | C3×#168 | — | 2 | 1 | no | — |
| 210 | C5×C3⋊C8 | — | 2 | 1 | no | — |
| 211 | C2×C3×Q16 | C2×D5 | 1 | 1 | yes | characteristic |
| 212 | C3×C4×Q8 | — | 5 | 1 | no | — |
| 213 | C3×C4×Q8 | — | 5 | 1 | no | — |
| 214 | #947 | — | 5 | 1 | no | — |
| 215 | Q8×Dic3 | — | 5 | 1 | no | — |
| 216 | Q8×Dic3 | C2×D5 | 1 | 1 | yes | characteristic |
| 217 | #944 | C2×D5 | 1 | 1 | yes | characteristic |
| 218 | C2×#216 | C2×D5 | 1 | 1 | yes | characteristic |
| 219 | C2×#215 | — | 5 | 1 | no | — |
| 220 | #898 | — | 10 | 1 | no | — |
| 221 | #896 | — | 10 | 1 | no | — |
| 222 | #893 | — | 5 | 1 | no | — |
| 223 | #890 | — | 5 | 1 | no | — |
| 224 | #890 | — | 10 | 1 | no | — |
| 225 | #888 | — | 5 | 1 | no | — |
| 226 | #888 | — | 10 | 1 | no | — |
| 227 | #887 | — | 5 | 1 | no | — |
| 228 | #876 | — | 10 | 1 | no | — |
| 229 | #875 | — | 5 | 1 | no | — |
| 230 | #872 | — | 10 | 1 | no | — |
| 231 | #870 | — | 5 | 1 | no | — |
| 232 | #870 | — | 10 | 1 | no | — |
| 233 | C4×Dic6 | — | 5 | 1 | no | — |
| 234 | C4×Dic6 | — | 10 | 1 | no | — |
| 235 | C3×#107 | — | 5 | 1 | no | — |
| 236 | C3×#103 | — | 5 | 1 | no | — |
| 237 | C3×#103 | — | 5 | 1 | no | — |
| 238 | C3×C4×C8 | — | 5 | 1 | no | — |
| 239 | #835 | — | 5 | 1 | no | — |
| 240 | #835 | C2×D5 | 1 | 1 | yes | characteristic |
| 241 | #821 | — | 5 | 1 | no | — |
| 242 | #821 | — | 5 | 1 | no | — |
| 243 | #816 | — | 5 | 1 | no | — |
| 244 | #816 | C2×D5 | 1 | 1 | yes | characteristic |
| 245 | Dic3⋊C8 | — | 5 | 1 | no | — |
| 246 | Dic3⋊C8 | C2×D5 | 1 | 1 | yes | characteristic |
| 247 | C8×Dic3 | — | 5 | 1 | no | — |
| 248 | C8×Dic3 | — | 5 | 1 | no | — |
| 249 | #810 | — | 5 | 1 | no | — |
| 250 | #809 | — | 5 | 1 | no | — |
| 251 | #808 | — | 5 | 1 | no | — |
| 252 | #807 | — | 5 | 1 | no | — |
| 253 | C4⋊(C3⋊C8) | — | 5 | 1 | no | — |
| 254 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 255 | C2×C5×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 256 | C2×C5×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 257 | C2×D20 | — | 3 | 1 | no | — |
| 258 | C2×C4×D5 | — | 6 | 1 | no | — |
| 259 | C2×Dic10 | — | 3 | 1 | no | — |
| 260 | C2×Dic10 | — | 6 | 1 | no | — |
| 261 | C5×Q16 | — | 2 | 2 | no | — |
| 262 | C5×Q16 | — | 6 | 2 | no | — |
| 263 | C2×C5×C8 | — | 3 | 1 | no | — |
| 264 | C2×C5×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 265 | C5×C4⋊C4 | — | 3 | 1 | no | — |
| 266 | C5×C4⋊C4 | — | 6 | 1 | no | — |
| 267 | C5×C4⋊C4 | — | 6 | 1 | no | — |
| 268 | C5×C4⋊C4 | — | 6 | 1 | no | — |
| 269 | C42×C5 | — | 3 | 1 | no | — |
| 270 | C42×C5 | — | 6 | 1 | no | — |
| 271 | #688 | — | 6 | 2 | no | — |
| 272 | #685 | — | 6 | 1 | no | — |
| 273 | #685 | — | 6 | 1 | no | — |
| 274 | #685 | — | 6 | 1 | no | — |
| 275 | #685 | — | 6 | 1 | no | — |
| 276 | #685 | — | 6 | 1 | no | — |
| 277 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 278 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 279 | C4⋊Dic5 | — | 3 | 1 | no | — |
| 280 | C4⋊Dic5 | — | 3 | 1 | no | — |
| 281 | C4⋊Dic5 | — | 6 | 1 | no | — |
| 282 | C4⋊Dic5 | — | 6 | 1 | no | — |
| 283 | C4⋊Dic5 | — | 6 | 1 | no | — |
| 284 | C4⋊Dic5 | — | 6 | 1 | no | — |
| 285 | C4⋊Dic5 | — | 6 | 1 | no | — |
| 286 | C4⋊Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 287 | C4⋊Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 288 | #683 | — | 3 | 1 | no | — |
| 289 | #683 | — | 3 | 1 | no | — |
| 290 | #683 | — | 6 | 1 | no | — |
| 291 | #683 | — | 6 | 1 | no | — |
| 292 | C4×Dic5 | — | 2 | 1 | no | — |
| 293 | C4×Dic5 | — | 2 | 1 | no | — |
| 294 | C4×Dic5 | — | 3 | 1 | no | — |
| 295 | C4×Dic5 | — | 6 | 1 | no | — |
| 296 | C4×Dic5 | — | 6 | 1 | no | — |
| 297 | C4×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 298 | C2×#168 | — | 3 | 1 | no | — |
| 299 | C2×#168 | C22×D3 | 1 | 1 | yes | characteristic |
| 300 | #557 | — | 15 | 1 | no | — |
| 301 | #556 | — | 15 | 1 | no | — |
| 302 | #488 | — | 15 | 1 | no | — |
| 303 | #488 | — | 15 | 1 | no | — |
| 304 | #487 | — | 15 | 1 | no | — |
| 305 | #479 | — | 15 | 1 | no | — |
| 306 | #479 | — | 15 | 1 | no | — |
| 307 | #474 | — | 15 | 1 | no | — |
| 308 | #464 | — | 15 | 1 | no | — |
| 309 | #464 | — | 15 | 1 | no | — |
| 310 | #462 | — | 3 | 1 | no | — |
| 311 | C8×Q8 | — | 15 | 1 | no | — |
| 312 | C4×Q16 | — | 5 | 1 | no | — |
| 313 | C4×Q16 | — | 15 | 1 | no | — |
| 314 | C4×SD16 | — | 15 | 1 | no | — |
| 315 | C22×C3×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 316 | C2×D15 | — | 4 | 1 | no | — |
| 317 | C2×D15 | — | 4 | 1 | no | — |
| 318 | C2×D15 | — | 4 | 1 | no | — |
| 319 | C3×C4×C5 | — | 2 | 2 | no | — |
| 320 | C3×C4×C5 | — | 4 | 1 | no | — |
| 321 | C3×C4×C5 | C2×#41 | 1 | 1 | yes | characteristic |
| 322 | C3×C4×C5 | 2−1+4 | 1 | 1 | yes | characteristic |
| 323 | Dic15 | — | 2 | 1 | no | — |
| 324 | Dic15 | — | 2 | 1 | no | — |
| 325 | Dic15 | — | 4 | 1 | no | — |
| 326 | C3×Dic5 | — | 2 | 1 | no | — |
| 327 | C3×Dic5 | — | 2 | 1 | no | — |
| 328 | C3×Dic5 | — | 4 | 1 | no | — |
| 329 | C3×Dic5 | — | 4 | 1 | no | — |
| 330 | C5×Dic3 | — | 2 | 1 | no | — |
| 331 | C5×Dic3 | — | 4 | 1 | no | — |
| 332 | C5×Dic3 | — | 4 | 1 | no | — |
| 333 | C5×Dic3 | #135 | 1 | 2 | yes | — |
| 334 | C2×C3×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 335 | C2×C3×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 336 | C2×D12 | — | 5 | 1 | no | — |
| 337 | C2×C4×D3 | — | 10 | 1 | no | — |
| 338 | C2×Dic6 | — | 5 | 1 | no | — |
| 339 | C2×Dic6 | — | 10 | 1 | no | — |
| 340 | C2×Dic6 | C22×D5 | 1 | 1 | yes | characteristic |
| 341 | C3×Q16 | — | 2 | 2 | no | — |
| 342 | C2×C3×C8 | — | 5 | 1 | no | — |
| 343 | C2×C3×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 344 | C3×C4⋊C4 | — | 5 | 1 | no | — |
| 345 | C3×C4⋊C4 | — | 5 | 1 | no | — |
| 346 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 347 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 348 | C3×C42 | — | 5 | 1 | no | — |
| 349 | C3×C42 | — | 10 | 1 | no | — |
| 350 | C3×C42 | — | 10 | 1 | no | — |
| 351 | #216 | — | 2 | 2 | no | — |
| 352 | #215 | — | 10 | 2 | no | — |
| 353 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 354 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 355 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 356 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 357 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 358 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 359 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 360 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 361 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 362 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 363 | C4⋊Dic3 | C22×D5 | 1 | 1 | yes | characteristic |
| 364 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 365 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 366 | Dic3⋊C4 | — | 5 | 1 | no | — |
| 367 | Dic3⋊C4 | — | 5 | 1 | no | — |
| 368 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 369 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 370 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 371 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 372 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 373 | C4×Dic3 | — | 2 | 1 | no | — |
| 374 | C4×Dic3 | — | 5 | 1 | no | — |
| 375 | C4×Dic3 | — | 10 | 1 | no | — |
| 376 | C4×Dic3 | — | 10 | 1 | no | — |
| 377 | C4×Dic3 | C22×D5 | 1 | 1 | yes | characteristic |
| 378 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 379 | C2×C3⋊C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 380 | C22×D5 | — | 6 | 1 | no | — |
| 381 | C5×Q8 | — | 2 | 1 | no | — |
| 382 | C5×Q8 | — | 2 | 1 | no | — |
| 383 | C5×Q8 | — | 2 | 1 | no | — |
| 384 | C5×Q8 | — | 6 | 1 | no | — |
| 385 | C5×Q8 | — | 6 | 1 | no | — |
| 386 | C5×Q8 | #235 | 1 | 2 | yes | — |
| 387 | C2×C4×C5 | — | 2 | 1 | no | — |
| 388 | C2×C4×C5 | — | 2 | 1 | no | — |
| 389 | C2×C4×C5 | — | 3 | 1 | no | — |
| 390 | C2×C4×C5 | — | 3 | 1 | no | — |
| 391 | C2×C4×C5 | — | 6 | 1 | no | — |
| 392 | C2×C4×C5 | — | 6 | 1 | no | — |
| 393 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 394 | C2×Dic5 | — | 2 | 1 | no | — |
| 395 | C2×Dic5 | — | 2 | 1 | no | — |
| 396 | C2×Dic5 | — | 3 | 1 | no | — |
| 397 | C2×Dic5 | — | 3 | 1 | no | — |
| 398 | C2×Dic5 | — | 6 | 1 | no | — |
| 399 | C2×Dic5 | D3×D4 | 1 | 1 | yes | characteristic |
| 400 | C2×Dic5 | D3×D4 | 1 | 1 | yes | characteristic |
| 401 | D20 | — | 6 | 1 | no | — |
| 402 | D20 | — | 6 | 1 | no | — |
| 403 | C4×D5 | — | 12 | 2 | no | — |
| 404 | Dic10 | — | 6 | 2 | no | — |
| 405 | Dic10 | — | 12 | 2 | no | — |
| 406 | C5×C8 | — | 2 | 1 | no | — |
| 407 | C5×C8 | — | 6 | 1 | no | — |
| 408 | #168 | — | 2 | 1 | no | — |
| 409 | #168 | — | 6 | 1 | no | — |
| 410 | C2×Q16 | — | 3 | 1 | no | — |
| 411 | C2×Q16 | D3×D5 | 1 | 1 | yes | characteristic |
| 412 | C2×SD16 | — | 15 | 1 | no | — |
| 413 | C4⋊Q8 | — | 3 | 1 | no | — |
| 414 | C4⋊Q8 | — | 15 | 1 | no | — |
| 415 | C4⋊Q8 | — | 30 | 1 | no | — |
| 416 | #126 | — | 30 | 1 | no | — |
| 417 | #126 | — | 30 | 1 | no | — |
| 418 | #125 | — | 15 | 1 | no | — |
| 419 | #125 | — | 15 | 1 | no | — |
| 420 | #125 | — | 30 | 1 | no | — |
| 421 | #125 | — | 30 | 1 | no | — |
| 422 | #124 | — | 15 | 1 | no | — |
| 423 | #124 | — | 15 | 1 | no | — |
| 424 | C22⋊Q8 | — | 30 | 1 | no | — |
| 425 | C4×Q8 | — | 3 | 1 | no | — |
| 426 | C4×Q8 | — | 5 | 1 | no | — |
| 427 | C4×Q8 | — | 5 | 1 | no | — |
| 428 | C4×Q8 | — | 15 | 1 | no | — |
| 429 | C4×Q8 | — | 15 | 1 | no | — |
| 430 | C4×Q8 | — | 15 | 1 | no | — |
| 431 | C4×Q8 | — | 30 | 1 | no | — |
| 432 | C4×D4 | — | 15 | 1 | no | — |
| 433 | #117 | — | 30 | 1 | no | — |
| 434 | #107 | — | 5 | 1 | no | — |
| 435 | #107 | — | 15 | 1 | no | — |
| 436 | #106 | — | 15 | 1 | no | — |
| 437 | C4⋊C8 | — | 3 | 1 | no | — |
| 438 | C4⋊C8 | — | 15 | 1 | no | — |
| 439 | C4⋊C8 | — | 15 | 1 | no | — |
| 440 | #103 | — | 3 | 1 | no | — |
| 441 | #103 | — | 3 | 1 | no | — |
| 442 | #103 | — | 5 | 1 | no | — |
| 443 | #103 | — | 5 | 1 | no | — |
| 444 | #103 | — | 15 | 1 | no | — |
| 445 | #103 | — | 15 | 1 | no | — |
| 446 | #103 | — | 15 | 1 | no | — |
| 447 | #102 | — | 15 | 1 | no | — |
| 448 | #102 | — | 15 | 1 | no | — |
| 449 | #102 | — | 15 | 1 | no | — |
| 450 | C4×C8 | — | 5 | 1 | no | — |
| 451 | C4×C8 | — | 15 | 1 | no | — |
| 452 | C4×C8 | — | 15 | 1 | no | — |
| 453 | C2×C3×C5 | #548 | 1 | 1 | yes | characteristic |
| 454 | C2×C3×C5 | C2×#135 | 1 | 1 | yes | characteristic |
| 455 | C2×C3×C5 | #578 | 1 | 1 | yes | characteristic |
| 456 | D15 | — | 8 | 1 | no | — |
| 457 | C22×D3 | — | 10 | 1 | no | — |
| 458 | C3×Q8 | — | 2 | 1 | no | — |
| 459 | C3×Q8 | — | 2 | 1 | no | — |
| 460 | C3×Q8 | — | 2 | 1 | no | — |
| 461 | C3×Q8 | #711 | 1 | 2 | yes | — |
| 462 | C2×C3×C4 | — | 2 | 1 | no | — |
| 463 | C2×C3×C4 | — | 2 | 1 | no | — |
| 464 | C2×C3×C4 | — | 5 | 1 | no | — |
| 465 | C2×C3×C4 | — | 5 | 1 | no | — |
| 466 | C2×C3×C4 | — | 10 | 1 | no | — |
| 467 | C2×C3×C4 | — | 10 | 1 | no | — |
| 468 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 469 | C2×Dic3 | — | 2 | 1 | no | — |
| 470 | C2×Dic3 | — | 2 | 1 | no | — |
| 471 | C2×Dic3 | — | 5 | 1 | no | — |
| 472 | C2×Dic3 | — | 5 | 1 | no | — |
| 473 | C2×Dic3 | — | 10 | 1 | no | — |
| 474 | C2×Dic3 | D4×D5 | 1 | 1 | yes | characteristic |
| 475 | C2×Dic3 | D4×D5 | 1 | 1 | yes | characteristic |
| 476 | D12 | — | 10 | 1 | no | — |
| 477 | D12 | — | 10 | 1 | no | — |
| 478 | C4×D3 | — | 20 | 2 | no | — |
| 479 | Dic6 | — | 2 | 1 | no | — |
| 480 | Dic6 | — | 2 | 1 | no | — |
| 481 | Dic6 | — | 10 | 2 | no | — |
| 482 | Dic6 | — | 20 | 2 | no | — |
| 483 | C3×C8 | — | 2 | 1 | no | — |
| 484 | C3×C8 | — | 10 | 1 | no | — |
| 485 | C3⋊C8 | — | 2 | 1 | no | — |
| 486 | C3⋊C8 | — | 10 | 1 | no | — |
| 487 | C22×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 488 | C2×D5 | — | 12 | 1 | no | — |
| 489 | C2×D5 | — | 12 | 1 | no | — |
| 490 | C2×D5 | — | 12 | 1 | no | — |
| 491 | C4×C5 | — | 2 | 2 | no | — |
| 492 | C4×C5 | — | 3 | 2 | no | — |
| 493 | C4×C5 | — | 4 | 1 | no | — |
| 494 | C4×C5 | — | 6 | 1 | no | — |
| 495 | C4×C5 | — | 12 | 1 | no | — |
| 496 | C4×C5 | — | 12 | 1 | no | — |
| 497 | C4×C5 | C2×#235 | 1 | 1 | yes | characteristic |
| 498 | C4×C5 | #1010 | 1 | 1 | yes | characteristic |
| 499 | Dic5 | — | 2 | 1 | no | — |
| 500 | Dic5 | — | 2 | 1 | no | — |
| 501 | Dic5 | — | 4 | 1 | no | — |
| 502 | Dic5 | — | 4 | 1 | no | — |
| 503 | Dic5 | — | 6 | 1 | no | — |
| 504 | Dic5 | — | 6 | 1 | no | — |
| 505 | Dic5 | — | 12 | 1 | no | — |
| 506 | C2×Q8 | — | 3 | 1 | no | — |
| 507 | C2×Q8 | — | 15 | 1 | no | — |
| 508 | C2×Q8 | — | 30 | 1 | no | — |
| 509 | C2×Q8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 510 | C2×Q8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 511 | C2×D4 | — | 15 | 1 | no | — |
| 512 | C22×C4 | — | 30 | 1 | no | — |
| 513 | Q16 | — | 2 | 2 | no | — |
| 514 | Q16 | — | 6 | 2 | no | — |
| 515 | SD16 | — | 30 | 2 | no | — |
| 516 | C2×C8 | — | 3 | 1 | no | — |
| 517 | C2×C8 | — | 5 | 1 | no | — |
| 518 | C2×C8 | — | 15 | 1 | no | — |
| 519 | C2×C8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 520 | C4⋊C4 | — | 3 | 1 | no | — |
| 521 | C4⋊C4 | — | 5 | 1 | no | — |
| 522 | C4⋊C4 | — | 5 | 1 | no | — |
| 523 | C4⋊C4 | — | 6 | 1 | no | — |
| 524 | C4⋊C4 | — | 6 | 1 | no | — |
| 525 | C4⋊C4 | — | 6 | 1 | no | — |
| 526 | C4⋊C4 | — | 10 | 1 | no | — |
| 527 | C4⋊C4 | — | 10 | 1 | no | — |
| 528 | C4⋊C4 | — | 15 | 1 | no | — |
| 529 | C4⋊C4 | — | 15 | 1 | no | — |
| 530 | C4⋊C4 | — | 15 | 1 | no | — |
| 531 | C4⋊C4 | — | 15 | 1 | no | — |
| 532 | C4⋊C4 | — | 30 | 1 | no | — |
| 533 | C4⋊C4 | — | 30 | 1 | no | — |
| 534 | C4⋊C4 | — | 30 | 1 | no | — |
| 535 | C4⋊C4 | — | 30 | 1 | no | — |
| 536 | C4⋊C4 | — | 30 | 1 | no | — |
| 537 | C4⋊C4 | — | 30 | 1 | no | — |
| 538 | C4⋊C4 | — | 30 | 1 | no | — |
| 539 | C22⋊C4 | — | 30 | 1 | no | — |
| 540 | C22⋊C4 | — | 30 | 1 | no | — |
| 541 | C22⋊C4 | — | 30 | 1 | no | — |
| 542 | C22⋊C4 | — | 30 | 1 | no | — |
| 543 | C22⋊C4 | — | 30 | 1 | no | — |
| 544 | C42 | — | 3 | 1 | no | — |
| 545 | C42 | — | 5 | 1 | no | — |
| 546 | C42 | — | 6 | 1 | no | — |
| 547 | C42 | — | 10 | 1 | no | — |
| 548 | C42 | — | 10 | 1 | no | — |
| 549 | C42 | — | 15 | 1 | no | — |
| 550 | C42 | — | 30 | 1 | no | — |
| 551 | C42 | — | 30 | 1 | no | — |
| 552 | C3×C5 | #3364 | 1 | 1 | yes | characteristic, complemented, Hall |
| 553 | C22×C3 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 554 | C2×D3 | — | 20 | 1 | no | — |
| 555 | C2×D3 | — | 20 | 1 | no | — |
| 556 | C2×D3 | — | 20 | 1 | no | — |
| 557 | C3×C4 | — | 2 | 2 | no | — |
| 558 | C3×C4 | — | 4 | 1 | no | — |
| 559 | C3×C4 | — | 10 | 1 | no | — |
| 560 | C3×C4 | — | 10 | 1 | no | — |
| 561 | C3×C4 | — | 20 | 1 | no | — |
| 562 | C3×C4 | — | 20 | 1 | no | — |
| 563 | C3×C4 | C2×#711 | 1 | 1 | yes | characteristic |
| 564 | C3×C4 | #4150 | 1 | 1 | yes | characteristic |
| 565 | Dic3 | — | 2 | 1 | no | — |
| 566 | Dic3 | — | 4 | 1 | no | — |
| 567 | Dic3 | — | 4 | 1 | no | — |
| 568 | Dic3 | — | 10 | 1 | no | — |
| 569 | Dic3 | — | 10 | 1 | no | — |
| 570 | Dic3 | — | 20 | 1 | no | — |
| 571 | Dic3 | #4065 | 1 | 2 | yes | — |
| 572 | C2×C5 | #5552 | 1 | 1 | yes | characteristic |
| 573 | C2×C5 | #5766 | 1 | 1 | yes | characteristic |
| 574 | C2×C5 | D3×#135 | 1 | 1 | yes | characteristic |
| 575 | D5 | — | 24 | 1 | no | — |
| 576 | C23 | — | 30 | 1 | no | — |
| 577 | Q8 | — | 2 | 1 | no | — |
| 578 | Q8 | — | 2 | 1 | no | — |
| 579 | Q8 | — | 2 | 1 | no | — |
| 580 | Q8 | — | 6 | 1 | no | — |
| 581 | Q8 | — | 6 | 1 | no | — |
| 582 | Q8 | — | 30 | 2 | no | — |
| 583 | Q8 | — | 60 | 2 | no | — |
| 584 | Q8 | #6782 | 1 | 2 | yes | — |
| 585 | D4 | — | 30 | 1 | no | — |
| 586 | D4 | — | 30 | 1 | no | — |
| 587 | C2×C4 | — | 2 | 1 | no | — |
| 588 | C2×C4 | — | 2 | 1 | no | — |
| 589 | C2×C4 | — | 3 | 1 | no | — |
| 590 | C2×C4 | — | 3 | 1 | no | — |
| 591 | C2×C4 | — | 5 | 1 | no | — |
| 592 | C2×C4 | — | 5 | 1 | no | — |
| 593 | C2×C4 | — | 6 | 1 | no | — |
| 594 | C2×C4 | — | 6 | 1 | no | — |
| 595 | C2×C4 | — | 10 | 1 | no | — |
| 596 | C2×C4 | — | 10 | 1 | no | — |
| 597 | C2×C4 | — | 15 | 1 | no | — |
| 598 | C2×C4 | — | 15 | 1 | no | — |
| 599 | C2×C4 | — | 30 | 1 | no | — |
| 600 | C2×C4 | — | 60 | 2 | no | — |
| 601 | C2×C4 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 602 | C8 | — | 2 | 1 | no | — |
| 603 | C8 | — | 6 | 1 | no | — |
| 604 | C8 | — | 10 | 1 | no | — |
| 605 | C8 | — | 30 | 1 | no | — |
| 606 | C2×C3 | #65932 | 1 | 1 | yes | characteristic |
| 607 | C2×C3 | C2×#4065 | 1 | 1 | yes | characteristic |
| 608 | C2×C3 | #66113 | 1 | 1 | yes | characteristic |
| 609 | D3 | — | 40 | 1 | no | — |
| 610 | C5 | #79700 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 611 | C22 | — | 60 | 1 | no | — |
| 612 | C22 | — | 60 | 1 | no | — |
| 613 | C22 | — | 60 | 1 | no | — |
| 614 | C22 | D3×D4×D5 | 1 | 1 | yes | characteristic |
| 615 | C4 | — | 2 | 2 | no | — |
| 616 | C4 | — | 3 | 2 | no | — |
| 617 | C4 | — | 4 | 1 | no | — |
| 618 | C4 | — | 6 | 1 | no | — |
| 619 | C4 | — | 10 | 1 | no | — |
| 620 | C4 | — | 10 | 1 | no | — |
| 621 | C4 | — | 12 | 1 | no | — |
| 622 | C4 | — | 12 | 1 | no | — |
| 623 | C4 | — | 20 | 1 | no | — |
| 624 | C4 | — | 20 | 1 | no | — |
| 625 | C4 | — | 30 | 1 | no | — |
| 626 | C4 | — | 30 | 1 | no | — |
| 627 | C4 | — | 60 | 1 | no | — |
| 628 | C4 | #92020 | 1 | 1 | yes | characteristic |
| 629 | C4 | C2×#6782 | 1 | 1 | yes | characteristic |
| 630 | C3 | #10612194 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 631 | C2 | — | 120 | 1 | no | — |
| 632 | C2 | D3×#4065 | 1 | 1 | yes | characteristic |
| 633 | C2 | #11754107 | 1 | 1 | yes | characteristic |
| 634 | C2 | #11754780 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta