| 1 | #72254957 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72245562 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #72245525 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#93759 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #72245453 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #72245424 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72244897 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #72224647 | — | 3 | 1 | no | maximal, Sylow |
| 9 | #10715798 | C4 | 1 | 1 | yes | characteristic |
| 10 | #10715756 | — | 2 | 1 | no | — |
| 11 | #10715755 | — | 2 | 1 | no | — |
| 12 | #10706949 | C22 | 1 | 1 | yes | characteristic |
| 13 | #10682871 | C4 | 1 | 1 | yes | characteristic |
| 14 | #10682855 | C22 | 1 | 1 | yes | characteristic |
| 15 | #10682652 | C4 | 1 | 1 | yes | characteristic |
| 16 | #10682651 | C4 | 1 | 1 | yes | characteristic |
| 17 | #10682634 | — | 2 | 1 | no | — |
| 18 | #10682633 | — | 2 | 1 | no | — |
| 19 | #10682520 | C22 | 1 | 1 | yes | characteristic |
| 20 | #10682517 | C22 | 1 | 1 | yes | characteristic |
| 21 | C3×#12047 | C22 | 1 | 1 | yes | characteristic |
| 22 | C3×#7456 | C22 | 1 | 1 | yes | characteristic |
| 23 | C3×#7053 | C22 | 1 | 1 | yes | characteristic |
| 24 | #151103 | — | 3 | 1 | no | — |
| 25 | #151103 | — | 3 | 1 | no | — |
| 26 | #151086 | — | 3 | 1 | no | — |
| 27 | #93878 | — | 3 | 1 | no | — |
| 28 | #93759 | — | 3 | 1 | no | — |
| 29 | #93759 | D3 | 1 | 1 | yes | characteristic, complemented |
| 30 | #93668 | — | 3 | 1 | no | — |
| 31 | C3×#2178 | C2×C4 | 1 | 1 | yes | characteristic |
| 32 | C3×#2170 | — | 2 | 1 | no | — |
| 33 | #71508 | C8 | 1 | 1 | yes | characteristic |
| 34 | #71451 | — | 4 | 1 | no | — |
| 35 | #69372 | — | 4 | 1 | no | — |
| 36 | #69067 | C2×C4 | 1 | 1 | yes | characteristic |
| 37 | #69056 | — | 2 | 1 | no | — |
| 38 | C3×#1422 | — | 2 | 1 | no | — |
| 39 | C3×#1373 | C2×C4 | 1 | 1 | yes | characteristic |
| 40 | C3×#1335 | — | 2 | 1 | no | — |
| 41 | C3×#1312 | — | 2 | 1 | no | — |
| 42 | C3×#1311 | C23 | 1 | 1 | yes | characteristic |
| 43 | #67829 | C8 | 1 | 1 | yes | characteristic |
| 44 | #67823 | — | 4 | 1 | no | — |
| 45 | #67603 | — | 4 | 1 | no | — |
| 46 | #67585 | C8 | 1 | 1 | yes | characteristic |
| 47 | #67581 | C8 | 1 | 1 | yes | characteristic |
| 48 | #67510 | — | 2 | 1 | no | — |
| 49 | #67508 | C2×C4 | 1 | 1 | yes | characteristic |
| 50 | #67508 | C2×C4 | 1 | 1 | yes | characteristic |
| 51 | #67508 | D4 | 1 | 1 | yes | characteristic |
| 52 | #67508 | D4 | 1 | 1 | yes | characteristic |
| 53 | #67502 | C2×C4 | 1 | 1 | yes | characteristic |
| 54 | #67441 | — | 2 | 1 | no | — |
| 55 | #13656 | — | 3 | 1 | no | — |
| 56 | #13648 | — | 6 | 1 | no | — |
| 57 | #13648 | — | 6 | 1 | no | — |
| 58 | #12047 | — | 3 | 1 | no | — |
| 59 | #12047 | C2×D3 | 1 | 1 | yes | characteristic |
| 60 | #7464 | — | 3 | 1 | no | — |
| 61 | #7456 | — | 3 | 1 | no | — |
| 62 | #7456 | C2×D3 | 1 | 1 | yes | characteristic |
| 63 | #7388 | — | 3 | 1 | no | — |
| 64 | #7388 | — | 3 | 1 | no | — |
| 65 | #7382 | — | 6 | 1 | no | — |
| 66 | #7382 | — | 6 | 1 | no | — |
| 67 | #7332 | — | 3 | 1 | no | — |
| 68 | #7330 | — | 3 | 1 | no | — |
| 69 | #7053 | C2×D3 | 1 | 1 | yes | characteristic |
| 70 | C3×#508 | C2×C8 | 1 | 1 | yes | characteristic |
| 71 | C3×#504 | — | 4 | 1 | no | — |
| 72 | C3×#443 | — | 2 | 1 | no | — |
| 73 | #4904 | C2×C8 | 1 | 1 | yes | characteristic |
| 74 | #4901 | — | 4 | 1 | no | — |
| 75 | #4700 | — | 2 | 1 | no | — |
| 76 | C3×M64 | — | 4 | 1 | no | — |
| 77 | C3×#368 | C2×C8 | 1 | 1 | yes | characteristic |
| 78 | C3×#364 | — | 2 | 1 | no | — |
| 79 | C3×#359 | — | 2 | 1 | no | — |
| 80 | C3×#350 | — | 4 | 1 | no | — |
| 81 | C3×C4×C16 | — | 4 | 1 | no | — |
| 82 | C3×C4×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 83 | C3×C4×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 84 | C3×C82 | #41 | 1 | 1 | yes | characteristic |
| 85 | #4522 | C16 | 1 | 1 | yes | characteristic, complemented |
| 86 | #4521 | C16 | 1 | 1 | yes | characteristic, complemented |
| 87 | #4520 | C16 | 1 | 1 | yes | characteristic, complemented |
| 88 | #4519 | C16 | 1 | 1 | yes | characteristic, complemented |
| 89 | #4510 | — | 2 | 1 | no | — |
| 90 | #4508 | — | 4 | 1 | no | — |
| 91 | #4506 | C2×C8 | 1 | 1 | yes | characteristic |
| 92 | #4499 | — | 4 | 1 | no | — |
| 93 | #4499 | — | 8 | 1 | no | — |
| 94 | C2×C3⋊C32 | — | 2 | 1 | no | — |
| 95 | C2×C3⋊C32 | — | 2 | 1 | no | — |
| 96 | C2×C3⋊C32 | — | 2 | 1 | no | — |
| 97 | C2×C3⋊C32 | — | 8 | 1 | no | — |
| 98 | C2×C3⋊C32 | C2×C8 | 1 | 1 | yes | characteristic |
| 99 | C2×C3⋊C32 | C2×C8 | 1 | 1 | yes | characteristic |
| 100 | #4463 | — | 2 | 1 | no | — |
| 101 | #4447 | — | 8 | 1 | no | — |
| 102 | D3×C32 | — | 8 | 1 | no | — |
| 103 | #2262 | — | 3 | 1 | no | — |
| 104 | #2258 | — | 12 | 1 | no | — |
| 105 | #2258 | — | 12 | 1 | no | — |
| 106 | #2178 | — | 3 | 1 | no | — |
| 107 | #2178 | C4×D3 | 1 | 1 | yes | characteristic |
| 108 | #2170 | — | 2 | 1 | no | — |
| 109 | #2170 | — | 6 | 1 | no | — |
| 110 | #1425 | — | 3 | 1 | no | — |
| 111 | #1422 | — | 2 | 1 | no | — |
| 112 | #1422 | — | 6 | 1 | no | — |
| 113 | #1417 | — | 3 | 1 | no | — |
| 114 | #1417 | — | 3 | 1 | no | — |
| 115 | #1401 | — | 12 | 1 | no | — |
| 116 | #1401 | — | 12 | 1 | no | — |
| 117 | #1397 | — | 3 | 1 | no | — |
| 118 | #1397 | — | 3 | 1 | no | — |
| 119 | #1397 | — | 3 | 1 | no | — |
| 120 | #1397 | — | 3 | 1 | no | — |
| 121 | #1373 | — | 3 | 1 | no | — |
| 122 | #1373 | C4×D3 | 1 | 1 | yes | characteristic |
| 123 | #1335 | — | 2 | 1 | no | — |
| 124 | #1335 | — | 6 | 1 | no | — |
| 125 | #1312 | — | 2 | 1 | no | — |
| 126 | #1311 | C22×D3 | 1 | 1 | yes | characteristic |
| 127 | C3×#135 | — | 2 | 1 | no | — |
| 128 | C3×#131 | — | 4 | 1 | no | — |
| 129 | #904 | — | 2 | 1 | no | — |
| 130 | #901 | — | 4 | 1 | no | — |
| 131 | C3×Q32 | C2×C16 | 1 | 1 | yes | characteristic |
| 132 | C3×SD32 | — | 2 | 1 | no | — |
| 133 | C3×D16 | C2×C16 | 1 | 1 | yes | characteristic |
| 134 | C3×M32 | — | 4 | 1 | no | — |
| 135 | C3×M32 | — | 8 | 1 | no | — |
| 136 | C2×C3×C16 | — | 8 | 1 | no | — |
| 137 | C2×C3×C16 | — | 8 | 1 | no | — |
| 138 | C2×C3×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 139 | C2×C3×C16 | #131 | 1 | 1 | yes | characteristic |
| 140 | C2×C3×C16 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 141 | C2×C3×C16 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 142 | C3×#108 | — | 2 | 1 | no | — |
| 143 | C3×#104 | — | 4 | 1 | no | — |
| 144 | C3×C4×C8 | — | 2 | 1 | no | — |
| 145 | C3×C4×C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 146 | #819 | — | 2 | 1 | no | — |
| 147 | #812 | — | 4 | 1 | no | — |
| 148 | #805 | — | 4 | 1 | no | — |
| 149 | Dic24 | C2×C16 | 1 | 1 | yes | characteristic |
| 150 | #800 | — | 2 | 1 | no | — |
| 151 | D48 | C2×C16 | 1 | 1 | yes | characteristic |
| 152 | #798 | — | 8 | 1 | no | — |
| 153 | D3×C16 | — | 8 | 1 | no | — |
| 154 | C3×C32 | — | 8 | 1 | no | — |
| 155 | C3⋊C32 | — | 2 | 1 | no | — |
| 156 | C3⋊C32 | — | 4 | 1 | no | — |
| 157 | C3⋊C32 | — | 4 | 1 | no | — |
| 158 | C3⋊C32 | — | 4 | 1 | no | — |
| 159 | C3⋊C32 | — | 8 | 1 | no | — |
| 160 | C3⋊C32 | C2×C16 | 1 | 1 | yes | characteristic |
| 161 | C3⋊C32 | C2×C16 | 1 | 1 | yes | characteristic |
| 162 | #508 | — | 3 | 1 | no | — |
| 163 | #508 | D3×C8 | 1 | 1 | yes | characteristic |
| 164 | #504 | — | 4 | 1 | no | — |
| 165 | #504 | — | 12 | 1 | no | — |
| 166 | #443 | — | 2 | 1 | no | — |
| 167 | #443 | — | 6 | 1 | no | — |
| 168 | Q64 | — | 3 | 1 | no | — |
| 169 | SD64 | — | 3 | 1 | no | — |
| 170 | SD64 | — | 3 | 1 | no | — |
| 171 | D32 | — | 3 | 1 | no | — |
| 172 | M64 | — | 4 | 1 | no | — |
| 173 | M64 | — | 12 | 1 | no | — |
| 174 | M64 | — | 24 | 1 | no | — |
| 175 | M64 | — | 24 | 1 | no | — |
| 176 | C2×C32 | — | 3 | 1 | no | — |
| 177 | C2×C32 | — | 3 | 1 | no | — |
| 178 | C2×C32 | — | 6 | 1 | no | — |
| 179 | C2×C32 | — | 6 | 1 | no | — |
| 180 | C2×C32 | — | 6 | 1 | no | — |
| 181 | C2×C32 | — | 24 | 1 | no | — |
| 182 | C2×C32 | — | 24 | 1 | no | — |
| 183 | #368 | — | 3 | 1 | no | — |
| 184 | #368 | D3×C8 | 1 | 1 | yes | characteristic |
| 185 | #364 | — | 2 | 1 | no | — |
| 186 | #364 | — | 6 | 1 | no | — |
| 187 | #359 | — | 2 | 1 | no | — |
| 188 | #359 | — | 6 | 1 | no | — |
| 189 | #350 | — | 4 | 1 | no | — |
| 190 | #350 | — | 12 | 1 | no | — |
| 191 | C4×C16 | — | 4 | 1 | no | — |
| 192 | C4×C16 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 193 | C4×C16 | D3×D4 | 1 | 1 | yes | characteristic |
| 194 | C82 | #237 | 1 | 1 | yes | characteristic |
| 195 | C3×#41 | — | 4 | 1 | no | — |
| 196 | #235 | — | 4 | 1 | no | — |
| 197 | C3×Q16 | — | 2 | 1 | no | — |
| 198 | C3×SD16 | — | 4 | 1 | no | — |
| 199 | C3×D8 | — | 2 | 1 | no | — |
| 200 | C3×M16 | — | 4 | 1 | no | — |
| 201 | C3×M16 | — | 8 | 1 | no | — |
| 202 | C2×C3×C8 | — | 4 | 1 | no | — |
| 203 | C2×C3×C8 | — | 8 | 1 | no | — |
| 204 | C2×C3×C8 | C8×D4 | 1 | 1 | yes | characteristic |
| 205 | C2×C3×C8 | #442 | 1 | 1 | yes | characteristic |
| 206 | C3×C42 | #444 | 1 | 1 | yes | characteristic |
| 207 | #208 | — | 4 | 1 | no | — |
| 208 | Dic12 | — | 2 | 1 | no | — |
| 209 | D24 | — | 2 | 1 | no | — |
| 210 | #204 | — | 4 | 1 | no | — |
| 211 | ΓL(1,𝔽25) | — | 8 | 1 | no | — |
| 212 | D3×C8 | — | 8 | 1 | no | — |
| 213 | C3×C16 | — | 2 | 1 | no | — |
| 214 | C3×C16 | — | 2 | 1 | no | — |
| 215 | C3×C16 | — | 2 | 1 | no | — |
| 216 | C3×C16 | — | 8 | 1 | no | — |
| 217 | C3×C16 | — | 16 | 1 | no | — |
| 218 | C3×C16 | C22×C16 | 1 | 1 | yes | characteristic |
| 219 | C3×C16 | #504 | 1 | 1 | yes | characteristic |
| 220 | C3⋊C16 | — | 8 | 1 | no | — |
| 221 | #135 | — | 2 | 1 | no | — |
| 222 | #135 | — | 6 | 1 | no | — |
| 223 | #131 | — | 4 | 1 | no | — |
| 224 | #131 | — | 12 | 1 | no | — |
| 225 | Q32 | — | 3 | 1 | no | — |
| 226 | Q32 | D3×C16 | 1 | 1 | yes | characteristic |
| 227 | SD32 | — | 2 | 1 | no | — |
| 228 | SD32 | — | 6 | 1 | no | — |
| 229 | D16 | — | 3 | 1 | no | — |
| 230 | D16 | D3×C16 | 1 | 1 | yes | characteristic |
| 231 | M32 | — | 4 | 1 | no | — |
| 232 | M32 | — | 8 | 1 | no | — |
| 233 | M32 | — | 12 | 1 | no | — |
| 234 | M32 | — | 24 | 1 | no | — |
| 235 | C2×C16 | — | 8 | 1 | no | — |
| 236 | C2×C16 | — | 8 | 1 | no | — |
| 237 | C2×C16 | — | 24 | 1 | no | — |
| 238 | C2×C16 | C2×D3×C8 | 1 | 1 | yes | characteristic |
| 239 | C2×C16 | #907 | 1 | 1 | yes | characteristic |
| 240 | C2×C16 | #911 | 1 | 1 | yes | characteristic |
| 241 | C2×C16 | #914 | 1 | 1 | yes | characteristic |
| 242 | #108 | — | 2 | 1 | no | — |
| 243 | #108 | — | 6 | 1 | no | — |
| 244 | #104 | — | 4 | 1 | no | — |
| 245 | #104 | — | 12 | 1 | no | — |
| 246 | C4×C8 | — | 2 | 1 | no | — |
| 247 | C4×C8 | #67⋊C4 | 1 | 1 | yes | characteristic |
| 248 | C32 | — | 3 | 1 | no | — |
| 249 | C32 | — | 3 | 1 | no | — |
| 250 | C32 | — | 6 | 1 | no | — |
| 251 | C32 | — | 8 | 1 | no | — |
| 252 | C32 | — | 12 | 1 | no | — |
| 253 | C32 | — | 12 | 1 | no | — |
| 254 | C32 | — | 12 | 1 | no | — |
| 255 | C32 | — | 24 | 1 | no | — |
| 256 | C3×Q8 | — | 4 | 1 | no | — |
| 257 | C3×D4 | — | 4 | 1 | no | — |
| 258 | C3×D4 | — | 8 | 1 | no | — |
| 259 | C2×C3×C4 | — | 2 | 1 | no | — |
| 260 | C2×C3×C4 | — | 8 | 1 | no | — |
| 261 | C2×C3×C4 | #1580 | 1 | 1 | yes | characteristic |
| 262 | #67 | — | 8 | 1 | no | — |
| 263 | D12 | — | 4 | 1 | no | — |
| 264 | C4×D3 | — | 8 | 1 | no | — |
| 265 | Dic6 | — | 4 | 1 | no | — |
| 266 | C3×C8 | — | 8 | 1 | no | — |
| 267 | C3×C8 | — | 8 | 1 | no | — |
| 268 | C3×C8 | D4×C16 | 1 | 1 | yes | characteristic |
| 269 | C3×C8 | #2171 | 1 | 1 | yes | characteristic |
| 270 | C3×C8 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 271 | C3×C8 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 272 | C3⋊C8 | — | 8 | 1 | no | — |
| 273 | #41 | — | 4 | 1 | no | — |
| 274 | #41 | — | 12 | 1 | no | — |
| 275 | Q16 | — | 2 | 1 | no | — |
| 276 | Q16 | — | 6 | 1 | no | — |
| 277 | SD16 | — | 4 | 1 | no | — |
| 278 | SD16 | — | 12 | 1 | no | — |
| 279 | D8 | — | 2 | 1 | no | — |
| 280 | D8 | — | 6 | 1 | no | — |
| 281 | M16 | — | 4 | 1 | no | — |
| 282 | M16 | — | 8 | 1 | no | — |
| 283 | M16 | — | 12 | 1 | no | — |
| 284 | M16 | — | 24 | 1 | no | — |
| 285 | C2×C8 | — | 4 | 1 | no | — |
| 286 | C2×C8 | — | 8 | 1 | no | — |
| 287 | C2×C8 | — | 24 | 1 | no | — |
| 288 | C2×C8 | #67⋊C8 | 1 | 1 | yes | characteristic |
| 289 | C2×C8 | #4785 | 1 | 1 | yes | characteristic |
| 290 | C42 | #4823 | 1 | 1 | yes | characteristic |
| 291 | C16 | — | 2 | 1 | no | — |
| 292 | C16 | — | 2 | 1 | no | — |
| 293 | C16 | — | 2 | 1 | no | — |
| 294 | C16 | — | 8 | 1 | no | — |
| 295 | C16 | — | 16 | 1 | no | — |
| 296 | C16 | — | 24 | 1 | no | — |
| 297 | C16 | C2×D3×C16 | 1 | 1 | yes | characteristic |
| 298 | C16 | #4907 | 1 | 1 | yes | characteristic |
| 299 | C22×C3 | — | 8 | 1 | no | — |
| 300 | C22×C3 | #12068 | 1 | 1 | yes | characteristic |
| 301 | C2×D3 | — | 8 | 1 | no | — |
| 302 | C3×C4 | — | 4 | 1 | no | — |
| 303 | C3×C4 | — | 8 | 1 | no | — |
| 304 | C3×C4 | #12062 | 1 | 1 | yes | characteristic |
| 305 | C3×C4 | #12067 | 1 | 1 | yes | characteristic |
| 306 | Dic3 | — | 8 | 1 | no | — |
| 307 | Q8 | — | 4 | 1 | no | — |
| 308 | Q8 | — | 12 | 1 | no | — |
| 309 | D4 | — | 4 | 1 | no | — |
| 310 | D4 | — | 8 | 1 | no | — |
| 311 | D4 | — | 12 | 1 | no | — |
| 312 | D4 | — | 24 | 1 | no | — |
| 313 | C2×C4 | — | 2 | 1 | no | — |
| 314 | C2×C4 | — | 8 | 1 | no | — |
| 315 | C2×C4 | — | 24 | 1 | no | — |
| 316 | C2×C4 | #68151 | 1 | 1 | yes | characteristic |
| 317 | C8 | — | 8 | 1 | no | — |
| 318 | C8 | — | 8 | 1 | no | — |
| 319 | C8 | — | 24 | 1 | no | — |
| 320 | C8 | #67⋊C16 | 1 | 1 | yes | characteristic |
| 321 | C8 | #69123 | 1 | 1 | yes | characteristic |
| 322 | C8 | #69249 | 1 | 1 | yes | characteristic |
| 323 | C8 | #69254 | 1 | 1 | yes | characteristic |
| 324 | C2×C3 | — | 2 | 1 | no | — |
| 325 | C2×C3 | — | 16 | 1 | no | — |
| 326 | C2×C3 | #122963 | 1 | 1 | yes | characteristic |
| 327 | D3 | — | 16 | 1 | no | — |
| 328 | C22 | — | 8 | 1 | no | — |
| 329 | C22 | — | 24 | 1 | no | — |
| 330 | C22 | #10707074 | 1 | 1 | yes | characteristic |
| 331 | C4 | — | 4 | 1 | no | — |
| 332 | C4 | — | 8 | 1 | no | — |
| 333 | C4 | — | 24 | 1 | no | — |
| 334 | C4 | #10707040 | 1 | 1 | yes | characteristic |
| 335 | C4 | #10707069 | 1 | 1 | yes | characteristic |
| 336 | C3 | #72224647 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 337 | C2 | — | 2 | 1 | no | — |
| 338 | C2 | — | 16 | 1 | no | — |
| 339 | C2 | — | 48 | 1 | no | — |
| 340 | C2 | #72245159 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta