| 1 | #84001 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #83812 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #78838 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #78655 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#1881 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72118 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72029 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #70406 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #70396 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #70294 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #70012 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #69036 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #69013 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #68939 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #68935 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #28180 | — | 3 | 1 | no | maximal, Sylow |
| 17 | C3×#575 | C22 | 1 | 1 | yes | characteristic |
| 18 | C3×#568 | C22 | 1 | 1 | yes | characteristic |
| 19 | #5828 | C22 | 1 | 1 | yes | characteristic |
| 20 | #5828 | C22 | 1 | 1 | yes | characteristic |
| 21 | #5822 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#950 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#948 | C22 | 1 | 1 | yes | characteristic |
| 24 | #5745 | C22 | 1 | 1 | yes | characteristic |
| 25 | C22×D3×C8 | C22 | 1 | 1 | yes | characteristic |
| 26 | #5524 | C22 | 1 | 1 | yes | characteristic |
| 27 | C3×#421 | C22 | 1 | 1 | yes | characteristic |
| 28 | C3×#416 | C22 | 1 | 1 | yes | characteristic |
| 29 | C3×#408 | C22 | 1 | 1 | yes | characteristic |
| 30 | #5237 | C22 | 1 | 1 | yes | characteristic |
| 31 | #5236 | C22 | 1 | 1 | yes | characteristic |
| 32 | #5236 | C22 | 1 | 1 | yes | characteristic |
| 33 | #5204 | — | 2 | 1 | no | — |
| 34 | #5203 | — | 2 | 1 | no | — |
| 35 | #5200 | — | 2 | 1 | no | — |
| 36 | #5199 | — | 2 | 1 | no | — |
| 37 | #5145 | — | 2 | 2 | no | — |
| 38 | #5144 | — | 2 | 2 | no | — |
| 39 | #5139 | C22 | 1 | 1 | yes | characteristic |
| 40 | #5132 | C22 | 1 | 1 | yes | characteristic |
| 41 | #5126 | C22 | 1 | 1 | yes | characteristic |
| 42 | #5126 | C22 | 1 | 1 | yes | characteristic |
| 43 | #5126 | C22 | 1 | 1 | yes | characteristic |
| 44 | C2×#822 | C22 | 1 | 1 | yes | characteristic |
| 45 | C2×#822 | C22 | 1 | 1 | yes | characteristic |
| 46 | #5122 | C22 | 1 | 1 | yes | characteristic |
| 47 | #5113 | C22 | 1 | 1 | yes | characteristic |
| 48 | #5102 | C22 | 1 | 1 | yes | characteristic |
| 49 | #4998 | C22 | 1 | 1 | yes | characteristic |
| 50 | #4813 | — | 2 | 1 | no | — |
| 51 | #4807 | — | 2 | 1 | no | — |
| 52 | #4778 | — | 2 | 1 | no | — |
| 53 | #4775 | — | 2 | 1 | no | — |
| 54 | #4728 | — | 2 | 2 | no | — |
| 55 | #67⋊C8 | — | 2 | 2 | no | — |
| 56 | C3×#344 | C22 | 1 | 1 | yes | characteristic |
| 57 | C3×#341 | C22 | 1 | 1 | yes | characteristic |
| 58 | #4557 | C22 | 1 | 1 | yes | characteristic |
| 59 | #4556 | C22 | 1 | 1 | yes | characteristic |
| 60 | #4556 | C22 | 1 | 1 | yes | characteristic |
| 61 | #4552 | C22 | 1 | 1 | yes | characteristic |
| 62 | #4533 | C22 | 1 | 1 | yes | characteristic |
| 63 | #4531 | C22 | 1 | 1 | yes | characteristic |
| 64 | #3067 | — | 3 | 1 | no | — |
| 65 | #3050 | — | 3 | 1 | no | — |
| 66 | #2957 | — | 3 | 1 | no | — |
| 67 | #2929 | — | 3 | 1 | no | — |
| 68 | #2080 | — | 3 | 1 | no | — |
| 69 | #2080 | — | 3 | 1 | no | — |
| 70 | #2010 | — | 3 | 1 | no | — |
| 71 | #2010 | — | 3 | 1 | no | — |
| 72 | #1891 | — | 3 | 1 | no | — |
| 73 | #1891 | — | 3 | 1 | no | — |
| 74 | #1881 | — | 3 | 1 | no | — |
| 75 | #1881 | D3 | 1 | 1 | yes | characteristic, complemented |
| 76 | #1833 | — | 3 | 1 | no | — |
| 77 | #1814 | — | 3 | 1 | no | — |
| 78 | #1810 | — | 3 | 1 | no | — |
| 79 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 80 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 81 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 82 | C22×C4×D3 | C23 | 1 | 1 | yes | characteristic |
| 83 | C3×#137 | — | 2 | 1 | no | — |
| 84 | C3×#137 | — | 2 | 1 | no | — |
| 85 | C3×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 86 | C3×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 87 | C3×#135 | — | 4 | 1 | no | — |
| 88 | C3×#131 | — | 2 | 2 | no | — |
| 89 | C3×#131 | — | 4 | 1 | no | — |
| 90 | C2×C3×M16 | — | 4 | 1 | no | — |
| 91 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 92 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 93 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 94 | C22×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 95 | C3×#117 | C23 | 1 | 1 | yes | characteristic |
| 96 | #951 | — | 2 | 1 | no | — |
| 97 | #950 | — | 2 | 1 | no | — |
| 98 | #950 | — | 2 | 1 | no | — |
| 99 | #950 | — | 2 | 1 | no | — |
| 100 | #950 | — | 2 | 1 | no | — |
| 101 | #950 | — | 4 | 1 | no | — |
| 102 | #949 | — | 2 | 1 | no | — |
| 103 | #948 | — | 2 | 1 | no | — |
| 104 | #948 | — | 2 | 1 | no | — |
| 105 | #948 | — | 2 | 1 | no | — |
| 106 | #948 | — | 2 | 1 | no | — |
| 107 | #946 | — | 2 | 1 | no | — |
| 108 | #946 | — | 2 | 1 | no | — |
| 109 | C2×#216 | D4 | 1 | 1 | yes | characteristic, complemented |
| 110 | #942 | — | 2 | 1 | no | — |
| 111 | C2×#215 | D4 | 1 | 1 | yes | characteristic, complemented |
| 112 | #938 | — | 2 | 1 | no | — |
| 113 | #938 | — | 2 | 1 | no | — |
| 114 | #937 | — | 2 | 1 | no | — |
| 115 | #937 | — | 2 | 1 | no | — |
| 116 | #935 | — | 2 | 1 | no | — |
| 117 | #935 | — | 2 | 1 | no | — |
| 118 | C2×#214 | D4 | 1 | 1 | yes | characteristic, complemented |
| 119 | #932 | — | 2 | 1 | no | — |
| 120 | C2×#213 | D4 | 1 | 1 | yes | characteristic, complemented |
| 121 | C4×#67 | — | 2 | 2 | no | — |
| 122 | C4×#67 | — | 4 | 1 | no | — |
| 123 | #926 | C23 | 1 | 1 | yes | characteristic |
| 124 | #926 | C23 | 1 | 1 | yes | characteristic |
| 125 | C2×#208 | — | 2 | 1 | no | — |
| 126 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 127 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 128 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 129 | C22×C3⋊C8 | — | 2 | 1 | no | — |
| 130 | C22×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 131 | #907 | — | 4 | 1 | no | — |
| 132 | D3×M16 | — | 4 | 1 | no | — |
| 133 | #901 | — | 2 | 2 | no | — |
| 134 | C2×D3×C8 | — | 2 | 1 | no | — |
| 135 | C2×D3×C8 | — | 2 | 1 | no | — |
| 136 | C2×D3×C8 | — | 2 | 1 | no | — |
| 137 | C2×D3×C8 | — | 2 | 1 | no | — |
| 138 | C2×D3×C8 | — | 2 | 1 | no | — |
| 139 | C2×D3×C8 | — | 2 | 1 | no | — |
| 140 | #897 | — | 2 | 1 | no | — |
| 141 | #895 | — | 2 | 1 | no | — |
| 142 | #886 | — | 2 | 1 | no | — |
| 143 | #882 | — | 2 | 1 | no | — |
| 144 | C4×D12 | — | 4 | 1 | no | — |
| 145 | C3×#104 | — | 4 | 1 | no | — |
| 146 | C3×#103 | — | 2 | 1 | no | — |
| 147 | C3×#102 | — | 2 | 1 | no | — |
| 148 | C3×C22⋊C8 | — | 2 | 2 | no | — |
| 149 | #837 | — | 2 | 2 | no | — |
| 150 | #837 | — | 4 | 1 | no | — |
| 151 | #836 | — | 2 | 1 | no | — |
| 152 | #833 | — | 2 | 1 | no | — |
| 153 | #825 | — | 2 | 2 | no | — |
| 154 | #824 | — | 2 | 1 | no | — |
| 155 | #823 | — | 2 | 1 | no | — |
| 156 | #822 | — | 2 | 1 | no | — |
| 157 | #822 | — | 2 | 1 | no | — |
| 158 | #822 | — | 2 | 1 | no | — |
| 159 | #822 | — | 2 | 1 | no | — |
| 160 | #821 | — | 2 | 1 | no | — |
| 161 | (C2×D3)⋊C8 | — | 2 | 2 | no | — |
| 162 | (C2×D3)⋊C8 | — | 4 | 1 | no | — |
| 163 | (C2×D3)⋊C8 | — | 4 | 1 | no | — |
| 164 | #816 | — | 2 | 1 | no | — |
| 165 | #815 | D4 | 1 | 2 | yes | complemented |
| 166 | Dic3⋊C8 | — | 2 | 2 | no | — |
| 167 | C8×Dic3 | D4 | 1 | 2 | yes | complemented |
| 168 | #808 | — | 2 | 1 | no | — |
| 169 | #807 | — | 2 | 1 | no | — |
| 170 | #575 | — | 3 | 1 | no | — |
| 171 | #575 | C2×D3 | 1 | 1 | yes | characteristic |
| 172 | C2×#135 | — | 3 | 1 | no | — |
| 173 | #568 | — | 3 | 1 | no | — |
| 174 | #568 | C2×D3 | 1 | 1 | yes | characteristic |
| 175 | C2×#131 | — | 3 | 1 | no | — |
| 176 | C23×C8 | — | 3 | 1 | no | — |
| 177 | #525 | — | 3 | 1 | no | — |
| 178 | #525 | — | 3 | 1 | no | — |
| 179 | #525 | — | 3 | 1 | no | — |
| 180 | #473 | — | 6 | 1 | no | — |
| 181 | #472 | — | 6 | 1 | no | — |
| 182 | #471 | — | 6 | 1 | no | — |
| 183 | #471 | — | 6 | 1 | no | — |
| 184 | #467 | — | 6 | 1 | no | — |
| 185 | #466 | — | 6 | 1 | no | — |
| 186 | #465 | — | 6 | 1 | no | — |
| 187 | #465 | — | 6 | 1 | no | — |
| 188 | #444 | — | 6 | 2 | no | — |
| 189 | #443 | — | 6 | 2 | no | — |
| 190 | #435 | — | 6 | 2 | no | — |
| 191 | C8×D4 | — | 6 | 2 | no | — |
| 192 | C2×#108 | — | 3 | 1 | no | — |
| 193 | C2×#108 | — | 3 | 1 | no | — |
| 194 | #427 | — | 3 | 1 | no | — |
| 195 | #424 | — | 3 | 1 | no | — |
| 196 | #421 | — | 3 | 1 | no | — |
| 197 | #421 | — | 3 | 1 | no | — |
| 198 | #421 | — | 3 | 1 | no | — |
| 199 | #421 | C2×D3 | 1 | 1 | yes | characteristic |
| 200 | #416 | — | 3 | 1 | no | — |
| 201 | #416 | C2×D3 | 1 | 1 | yes | characteristic |
| 202 | #413 | — | 3 | 1 | no | — |
| 203 | #413 | — | 3 | 1 | no | — |
| 204 | #408 | C2×D3 | 1 | 1 | yes | characteristic |
| 205 | #407 | — | 3 | 1 | no | — |
| 206 | #407 | — | 3 | 1 | no | — |
| 207 | #407 | — | 3 | 1 | no | — |
| 208 | #405 | — | 3 | 1 | no | — |
| 209 | #344 | — | 3 | 1 | no | — |
| 210 | #344 | — | 3 | 1 | no | — |
| 211 | #344 | — | 3 | 1 | no | — |
| 212 | #344 | C2×D3 | 1 | 1 | yes | characteristic |
| 213 | #341 | — | 3 | 1 | no | — |
| 214 | #341 | C2×D3 | 1 | 1 | yes | characteristic |
| 215 | H(3,ℤ/4) | — | 3 | 1 | no | — |
| 216 | H(3,ℤ/4) | — | 3 | 1 | no | — |
| 217 | C23×D3 | #41 | 1 | 1 | yes | characteristic |
| 218 | C3×#41 | — | 2 | 1 | no | — |
| 219 | C3×#41 | — | 2 | 1 | no | — |
| 220 | C3×#41 | — | 2 | 1 | no | — |
| 221 | C3×#41 | — | 2 | 1 | no | — |
| 222 | C3×#41 | — | 2 | 1 | no | — |
| 223 | C3×#41 | — | 2 | 1 | no | — |
| 224 | C3×#41 | — | 2 | 1 | no | — |
| 225 | C3×#41 | — | 2 | 1 | no | — |
| 226 | C2×C3×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 227 | C2×C3×Q8 | #41 | 1 | 1 | yes | characteristic |
| 228 | C2×C3×D4 | — | 2 | 1 | no | — |
| 229 | C2×C3×D4 | — | 2 | 1 | no | — |
| 230 | C2×C3×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 231 | C2×C3×D4 | #41 | 1 | 1 | yes | characteristic |
| 232 | C22×C3×C4 | — | 2 | 1 | no | — |
| 233 | C22×C3×C4 | — | 2 | 1 | no | — |
| 234 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 235 | C2×#67 | — | 2 | 2 | no | — |
| 236 | C2×#67 | — | 2 | 1 | no | — |
| 237 | C2×#67 | — | 4 | 1 | no | — |
| 238 | C22×Dic3 | #41 | 1 | 1 | yes | characteristic |
| 239 | #235 | — | 2 | 1 | no | — |
| 240 | #235 | — | 2 | 1 | no | — |
| 241 | #235 | — | 2 | 1 | no | — |
| 242 | #235 | — | 2 | 1 | no | — |
| 243 | C2×D12 | — | 4 | 1 | no | — |
| 244 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 245 | C2×C4×D3 | — | 2 | 1 | no | — |
| 246 | C2×C4×D3 | — | 2 | 1 | no | — |
| 247 | C2×C4×D3 | — | 2 | 1 | no | — |
| 248 | C2×C4×D3 | — | 2 | 1 | no | — |
| 249 | C2×C4×D3 | — | 2 | 1 | no | — |
| 250 | C2×C4×D3 | — | 2 | 1 | no | — |
| 251 | C2×C4×D3 | — | 2 | 1 | no | — |
| 252 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 253 | C3×Q16 | — | 4 | 1 | no | — |
| 254 | C3×SD16 | — | 4 | 1 | no | — |
| 255 | C3×SD16 | — | 4 | 1 | no | — |
| 256 | C3×D8 | — | 4 | 1 | no | — |
| 257 | C3×M16 | — | 2 | 1 | no | — |
| 258 | C3×M16 | — | 2 | 1 | no | — |
| 259 | C3×M16 | — | 2 | 1 | no | — |
| 260 | C3×M16 | — | 2 | 1 | no | — |
| 261 | C3×M16 | — | 2 | 1 | no | — |
| 262 | C3×M16 | — | 2 | 1 | no | — |
| 263 | C3×M16 | — | 4 | 2 | no | — |
| 264 | C2×C3×C8 | — | 2 | 1 | no | — |
| 265 | C2×C3×C8 | — | 2 | 1 | no | — |
| 266 | C2×C3×C8 | — | 2 | 1 | no | — |
| 267 | C2×C3×C8 | — | 2 | 1 | no | — |
| 268 | C2×C3×C8 | — | 2 | 1 | no | — |
| 269 | C2×C3×C8 | — | 4 | 2 | no | — |
| 270 | C2×C3×C8 | C2×D4 | 1 | 2 | yes | — |
| 271 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 272 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 273 | C3×C42 | — | 2 | 1 | no | — |
| 274 | #217 | — | 2 | 2 | no | — |
| 275 | #217 | — | 2 | 1 | no | — |
| 276 | #217 | — | 2 | 1 | no | — |
| 277 | #217 | — | 4 | 1 | no | — |
| 278 | #216 | — | 2 | 1 | no | — |
| 279 | #216 | — | 2 | 1 | no | — |
| 280 | #216 | — | 4 | 1 | no | — |
| 281 | #215 | — | 2 | 1 | no | — |
| 282 | #215 | — | 2 | 1 | no | — |
| 283 | #215 | — | 4 | 1 | no | — |
| 284 | #214 | — | 2 | 1 | no | — |
| 285 | #214 | — | 2 | 1 | no | — |
| 286 | #214 | — | 4 | 1 | no | — |
| 287 | #213 | — | 2 | 1 | no | — |
| 288 | #213 | — | 2 | 1 | no | — |
| 289 | #213 | — | 4 | 1 | no | — |
| 290 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 291 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 292 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 293 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 294 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 295 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 296 | C4⋊Dic3 | — | 4 | 1 | no | — |
| 297 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 298 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 299 | C4×Dic3 | — | 2 | 1 | no | — |
| 300 | C4×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 301 | #208 | — | 2 | 1 | no | — |
| 302 | #208 | — | 2 | 1 | no | — |
| 303 | #208 | — | 2 | 1 | no | — |
| 304 | #208 | — | 2 | 1 | no | — |
| 305 | #208 | — | 2 | 1 | no | — |
| 306 | #208 | — | 2 | 1 | no | — |
| 307 | #208 | — | 4 | 1 | no | — |
| 308 | #208 | — | 4 | 1 | no | — |
| 309 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 310 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 311 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 312 | C2×C3⋊C8 | — | 4 | 1 | no | — |
| 313 | C2×C3⋊C8 | — | 4 | 1 | no | — |
| 314 | C2×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 315 | C2×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 316 | C2×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 317 | C2×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 318 | C2×C3⋊C8 | #41 | 1 | 1 | yes | characteristic |
| 319 | C2×C3⋊C8 | #41 | 1 | 1 | yes | characteristic |
| 320 | ΓL(1,𝔽25) | — | 4 | 2 | no | — |
| 321 | D3×C8 | — | 4 | 2 | no | — |
| 322 | D3×C8 | — | 4 | 1 | no | — |
| 323 | D3×C8 | — | 4 | 1 | no | — |
| 324 | D3×C8 | — | 4 | 1 | no | — |
| 325 | D3×C8 | — | 4 | 1 | no | — |
| 326 | C2×#41 | — | 3 | 1 | no | — |
| 327 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 328 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 329 | C23×C4 | — | 3 | 1 | no | — |
| 330 | #137 | — | 2 | 1 | no | — |
| 331 | #137 | — | 2 | 1 | no | — |
| 332 | #137 | — | 6 | 1 | no | — |
| 333 | #137 | — | 6 | 1 | no | — |
| 334 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 335 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 336 | AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 337 | AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 338 | #135 | — | 4 | 1 | no | — |
| 339 | #135 | — | 6 | 1 | no | — |
| 340 | #135 | — | 6 | 1 | no | — |
| 341 | #135 | — | 6 | 1 | no | — |
| 342 | #135 | — | 6 | 1 | no | — |
| 343 | #135 | — | 12 | 1 | no | — |
| 344 | C2×Q16 | — | 3 | 1 | no | — |
| 345 | C2×SD16 | — | 3 | 1 | no | — |
| 346 | C2×SD16 | — | 3 | 1 | no | — |
| 347 | C2×D8 | — | 3 | 1 | no | — |
| 348 | #131 | — | 2 | 2 | no | — |
| 349 | #131 | — | 4 | 1 | no | — |
| 350 | #131 | — | 6 | 1 | no | — |
| 351 | #131 | — | 6 | 1 | no | — |
| 352 | #131 | — | 6 | 1 | no | — |
| 353 | #131 | — | 6 | 1 | no | — |
| 354 | #131 | — | 6 | 2 | no | — |
| 355 | #131 | — | 12 | 1 | no | — |
| 356 | C2×M16 | — | 3 | 1 | no | — |
| 357 | C2×M16 | — | 3 | 1 | no | — |
| 358 | C2×M16 | — | 3 | 1 | no | — |
| 359 | C2×M16 | — | 4 | 1 | no | — |
| 360 | C2×M16 | — | 6 | 1 | no | — |
| 361 | C2×M16 | — | 12 | 1 | no | — |
| 362 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 363 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 364 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 365 | C22×C8 | — | 3 | 1 | no | — |
| 366 | C22×C8 | — | 6 | 1 | no | — |
| 367 | C22×C8 | — | 6 | 1 | no | — |
| 368 | C22×C8 | — | 6 | 1 | no | — |
| 369 | C22×C8 | — | 6 | 1 | no | — |
| 370 | C22×C8 | — | 6 | 1 | no | — |
| 371 | C22×C8 | — | 6 | 1 | no | — |
| 372 | C22×C8 | — | 6 | 1 | no | — |
| 373 | C22×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 374 | #123 | — | 6 | 1 | no | — |
| 375 | #123 | — | 6 | 1 | no | — |
| 376 | #123 | — | 6 | 1 | no | — |
| 377 | C22⋊Q8 | — | 6 | 1 | no | — |
| 378 | C22⋊Q8 | — | 6 | 1 | no | — |
| 379 | C22⋊Q8 | — | 6 | 1 | no | — |
| 380 | #121 | — | 6 | 1 | no | — |
| 381 | #121 | — | 6 | 1 | no | — |
| 382 | #121 | — | 6 | 1 | no | — |
| 383 | #120 | — | 6 | 1 | no | — |
| 384 | #120 | — | 6 | 1 | no | — |
| 385 | #120 | — | 6 | 1 | no | — |
| 386 | C4×D4 | — | 6 | 2 | no | — |
| 387 | C4×D4 | — | 12 | 1 | no | — |
| 388 | C4×D4 | — | 12 | 1 | no | — |
| 389 | #117 | — | 3 | 1 | no | — |
| 390 | #117 | — | 3 | 1 | no | — |
| 391 | #117 | C22×D3 | 1 | 1 | yes | characteristic |
| 392 | #108 | — | 6 | 1 | no | — |
| 393 | #108 | — | 6 | 1 | no | — |
| 394 | #108 | — | 6 | 1 | no | — |
| 395 | #108 | — | 6 | 1 | no | — |
| 396 | #107 | — | 6 | 1 | no | — |
| 397 | #106 | — | 6 | 1 | no | — |
| 398 | C4⋊C8 | — | 6 | 2 | no | — |
| 399 | #104 | — | 4 | 1 | no | — |
| 400 | #104 | — | 6 | 2 | no | — |
| 401 | #104 | — | 6 | 2 | no | — |
| 402 | #104 | — | 12 | 1 | no | — |
| 403 | #103 | — | 2 | 1 | no | — |
| 404 | #103 | — | 6 | 1 | no | — |
| 405 | #102 | — | 2 | 1 | no | — |
| 406 | #102 | — | 6 | 1 | no | — |
| 407 | #101 | — | 6 | 1 | no | — |
| 408 | #101 | — | 6 | 1 | no | — |
| 409 | #100 | — | 6 | 1 | no | — |
| 410 | #100 | — | 6 | 1 | no | — |
| 411 | C22⋊C8 | — | 2 | 2 | no | — |
| 412 | C22⋊C8 | — | 6 | 2 | no | — |
| 413 | C22⋊C8 | — | 12 | 1 | no | — |
| 414 | C22⋊C8 | — | 12 | 1 | no | — |
| 415 | #97 | — | 3 | 2 | no | — |
| 416 | C4×C8 | — | 3 | 2 | no | — |
| 417 | C23×C3 | — | 2 | 1 | no | — |
| 418 | C23×C3 | — | 2 | 1 | no | — |
| 419 | C23×C3 | C2×#41 | 1 | 1 | yes | characteristic |
| 420 | C22×D3 | — | 2 | 1 | no | — |
| 421 | C22×D3 | — | 2 | 1 | no | — |
| 422 | C22×D3 | — | 2 | 1 | no | — |
| 423 | C22×D3 | — | 2 | 1 | no | — |
| 424 | C22×D3 | — | 4 | 2 | no | — |
| 425 | C3×Q8 | — | 2 | 1 | no | — |
| 426 | C3×Q8 | — | 2 | 1 | no | — |
| 427 | C3×Q8 | — | 2 | 1 | no | — |
| 428 | C3×Q8 | — | 2 | 1 | no | — |
| 429 | C3×D4 | — | 2 | 1 | no | — |
| 430 | C3×D4 | — | 2 | 1 | no | — |
| 431 | C3×D4 | — | 2 | 1 | no | — |
| 432 | C3×D4 | — | 2 | 1 | no | — |
| 433 | C3×D4 | — | 4 | 1 | no | — |
| 434 | C3×D4 | — | 4 | 1 | no | — |
| 435 | C3×D4 | — | 4 | 1 | no | — |
| 436 | C3×D4 | — | 4 | 1 | no | — |
| 437 | C2×C3×C4 | — | 2 | 1 | no | — |
| 438 | C2×C3×C4 | — | 2 | 1 | no | — |
| 439 | C2×C3×C4 | — | 4 | 1 | no | — |
| 440 | C2×C3×C4 | — | 4 | 1 | no | — |
| 441 | C2×C3×C4 | — | 4 | 1 | no | — |
| 442 | C2×C3×C4 | — | 4 | 1 | no | — |
| 443 | C2×C3×C4 | — | 4 | 1 | no | — |
| 444 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 445 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 446 | C2×C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 447 | C2×C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 448 | C2×C3×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 449 | C2×C3×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 450 | #67 | — | 4 | 4 | no | — |
| 451 | #67 | — | 4 | 1 | no | — |
| 452 | #67 | — | 4 | 1 | no | — |
| 453 | #67 | — | 8 | 2 | no | — |
| 454 | C2×Dic3 | — | 2 | 2 | no | — |
| 455 | C2×Dic3 | — | 2 | 1 | no | — |
| 456 | C2×Dic3 | — | 2 | 1 | no | — |
| 457 | C2×Dic3 | — | 2 | 1 | no | — |
| 458 | C2×Dic3 | — | 2 | 1 | no | — |
| 459 | C2×Dic3 | — | 4 | 1 | no | — |
| 460 | D12 | — | 2 | 1 | no | — |
| 461 | D12 | — | 2 | 1 | no | — |
| 462 | D12 | — | 8 | 2 | no | — |
| 463 | C4×D3 | — | 4 | 1 | no | — |
| 464 | C4×D3 | — | 4 | 1 | no | — |
| 465 | C4×D3 | — | 4 | 1 | no | — |
| 466 | C4×D3 | — | 4 | 1 | no | — |
| 467 | C4×D3 | — | 4 | 1 | no | — |
| 468 | C4×D3 | — | 4 | 1 | no | — |
| 469 | Dic6 | — | 2 | 1 | no | — |
| 470 | Dic6 | — | 2 | 1 | no | — |
| 471 | C3×C8 | — | 2 | 2 | no | — |
| 472 | C3×C8 | — | 4 | 1 | no | — |
| 473 | C3×C8 | — | 4 | 1 | no | — |
| 474 | C3×C8 | — | 4 | 1 | no | — |
| 475 | C3⋊C8 | — | 4 | 1 | no | — |
| 476 | C3⋊C8 | — | 4 | 1 | no | — |
| 477 | C3⋊C8 | — | 4 | 1 | no | — |
| 478 | C3⋊C8 | #121 | 1 | 1 | yes | characteristic |
| 479 | C3⋊C8 | #121 | 1 | 1 | yes | characteristic |
| 480 | C3⋊C8 | #121 | 1 | 1 | yes | characteristic |
| 481 | C3⋊C8 | #121 | 1 | 1 | yes | characteristic |
| 482 | C24 | — | 3 | 1 | no | — |
| 483 | #41 | — | 2 | 1 | no | — |
| 484 | #41 | — | 2 | 1 | no | — |
| 485 | #41 | — | 2 | 1 | no | — |
| 486 | #41 | — | 2 | 1 | no | — |
| 487 | #41 | — | 2 | 1 | no | — |
| 488 | #41 | — | 2 | 1 | no | — |
| 489 | #41 | — | 2 | 1 | no | — |
| 490 | #41 | — | 2 | 1 | no | — |
| 491 | #41 | — | 6 | 1 | no | — |
| 492 | #41 | — | 6 | 1 | no | — |
| 493 | #41 | — | 6 | 1 | no | — |
| 494 | #41 | — | 6 | 1 | no | — |
| 495 | C2×Q8 | — | 3 | 1 | no | — |
| 496 | C2×Q8 | #235 | 1 | 1 | yes | characteristic |
| 497 | C2×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 498 | C2×D4 | — | 2 | 1 | no | — |
| 499 | C2×D4 | — | 2 | 1 | no | — |
| 500 | C2×D4 | — | 3 | 1 | no | — |
| 501 | C2×D4 | — | 6 | 2 | no | — |
| 502 | C2×D4 | — | 6 | 1 | no | — |
| 503 | C2×D4 | — | 12 | 1 | no | — |
| 504 | C2×D4 | — | 12 | 1 | no | — |
| 505 | C2×D4 | #235 | 1 | 1 | yes | characteristic |
| 506 | C2×D4 | D3×D4 | 1 | 1 | yes | characteristic |
| 507 | C22×C4 | — | 2 | 1 | no | — |
| 508 | C22×C4 | — | 2 | 1 | no | — |
| 509 | C22×C4 | — | 3 | 1 | no | — |
| 510 | C22×C4 | — | 6 | 1 | no | — |
| 511 | C22×C4 | — | 6 | 1 | no | — |
| 512 | C22×C4 | — | 6 | 1 | no | — |
| 513 | C22×C4 | — | 6 | 1 | no | — |
| 514 | C22×C4 | — | 6 | 1 | no | — |
| 515 | C22×C4 | — | 6 | 1 | no | — |
| 516 | C22×C4 | — | 6 | 1 | no | — |
| 517 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 518 | Q16 | — | 4 | 1 | no | — |
| 519 | Q16 | — | 6 | 1 | no | — |
| 520 | Q16 | — | 6 | 1 | no | — |
| 521 | Q16 | — | 12 | 1 | no | — |
| 522 | SD16 | — | 4 | 1 | no | — |
| 523 | SD16 | — | 4 | 1 | no | — |
| 524 | SD16 | — | 6 | 1 | no | — |
| 525 | SD16 | — | 6 | 1 | no | — |
| 526 | SD16 | — | 6 | 1 | no | — |
| 527 | SD16 | — | 6 | 1 | no | — |
| 528 | SD16 | — | 12 | 1 | no | — |
| 529 | SD16 | — | 12 | 1 | no | — |
| 530 | D8 | — | 4 | 1 | no | — |
| 531 | D8 | — | 6 | 1 | no | — |
| 532 | D8 | — | 6 | 1 | no | — |
| 533 | D8 | — | 12 | 1 | no | — |
| 534 | M16 | — | 2 | 1 | no | — |
| 535 | M16 | — | 2 | 1 | no | — |
| 536 | M16 | — | 2 | 1 | no | — |
| 537 | M16 | — | 2 | 1 | no | — |
| 538 | M16 | — | 2 | 1 | no | — |
| 539 | M16 | — | 2 | 1 | no | — |
| 540 | M16 | — | 4 | 2 | no | — |
| 541 | M16 | — | 6 | 1 | no | — |
| 542 | M16 | — | 6 | 1 | no | — |
| 543 | M16 | — | 6 | 1 | no | — |
| 544 | M16 | — | 6 | 1 | no | — |
| 545 | M16 | — | 6 | 1 | no | — |
| 546 | M16 | — | 6 | 1 | no | — |
| 547 | M16 | — | 12 | 2 | no | — |
| 548 | M16 | — | 12 | 1 | no | — |
| 549 | M16 | — | 12 | 1 | no | — |
| 550 | C2×C8 | — | 2 | 1 | no | — |
| 551 | C2×C8 | — | 2 | 1 | no | — |
| 552 | C2×C8 | — | 2 | 1 | no | — |
| 553 | C2×C8 | — | 2 | 1 | no | — |
| 554 | C2×C8 | — | 2 | 1 | no | — |
| 555 | C2×C8 | — | 3 | 1 | no | — |
| 556 | C2×C8 | — | 3 | 1 | no | — |
| 557 | C2×C8 | — | 3 | 1 | no | — |
| 558 | C2×C8 | — | 3 | 1 | no | — |
| 559 | C2×C8 | — | 3 | 1 | no | — |
| 560 | C2×C8 | — | 3 | 1 | no | — |
| 561 | C2×C8 | — | 4 | 2 | no | — |
| 562 | C2×C8 | — | 6 | 1 | no | — |
| 563 | C2×C8 | — | 6 | 1 | no | — |
| 564 | C2×C8 | — | 6 | 1 | no | — |
| 565 | C2×C8 | — | 12 | 2 | no | — |
| 566 | C2×C8 | — | 12 | 1 | no | — |
| 567 | C2×C8 | — | 12 | 1 | no | — |
| 568 | C2×C8 | — | 12 | 1 | no | — |
| 569 | C2×C8 | — | 12 | 1 | no | — |
| 570 | C2×C8 | — | 12 | 1 | no | — |
| 571 | C2×C8 | — | 12 | 1 | no | — |
| 572 | C2×C8 | D3×D4 | 1 | 2 | yes | — |
| 573 | C4⋊C4 | — | 2 | 1 | no | — |
| 574 | C4⋊C4 | — | 6 | 2 | no | — |
| 575 | C4⋊C4 | — | 6 | 1 | no | — |
| 576 | C4⋊C4 | — | 6 | 1 | no | — |
| 577 | C4⋊C4 | — | 12 | 1 | no | — |
| 578 | C4⋊C4 | — | 12 | 1 | no | — |
| 579 | C22⋊C4 | — | 2 | 1 | no | — |
| 580 | C22⋊C4 | — | 6 | 2 | no | — |
| 581 | C22⋊C4 | — | 6 | 2 | no | — |
| 582 | C22⋊C4 | — | 6 | 1 | no | — |
| 583 | C22⋊C4 | — | 6 | 1 | no | — |
| 584 | C22⋊C4 | — | 12 | 1 | no | — |
| 585 | C22⋊C4 | — | 12 | 1 | no | — |
| 586 | C22⋊C4 | — | 12 | 1 | no | — |
| 587 | C22⋊C4 | — | 12 | 1 | no | — |
| 588 | C42 | — | 2 | 1 | no | — |
| 589 | C42 | — | 3 | 2 | no | — |
| 590 | C42 | — | 6 | 1 | no | — |
| 591 | C22×C3 | — | 4 | 1 | no | — |
| 592 | C22×C3 | — | 4 | 2 | no | — |
| 593 | C22×C3 | — | 4 | 1 | no | — |
| 594 | C22×C3 | — | 4 | 1 | no | — |
| 595 | C22×C3 | — | 8 | 1 | no | — |
| 596 | C22×C3 | #525 | 1 | 1 | yes | characteristic |
| 597 | C22×C3 | #546 | 1 | 1 | yes | characteristic |
| 598 | C22×C3 | #553 | 1 | 1 | yes | characteristic |
| 599 | C2×D3 | — | 2 | 2 | no | — |
| 600 | C2×D3 | — | 2 | 2 | no | — |
| 601 | C2×D3 | — | 2 | 2 | no | — |
| 602 | C2×D3 | — | 4 | 1 | no | — |
| 603 | C2×D3 | — | 4 | 1 | no | — |
| 604 | C2×D3 | — | 4 | 1 | no | — |
| 605 | C2×D3 | — | 4 | 1 | no | — |
| 606 | C2×D3 | — | 4 | 1 | no | — |
| 607 | C2×D3 | — | 8 | 1 | no | — |
| 608 | C3×C4 | — | 4 | 1 | no | — |
| 609 | C3×C4 | — | 4 | 1 | no | — |
| 610 | C3×C4 | — | 8 | 1 | no | — |
| 611 | C3×C4 | C2×#121 | 1 | 1 | yes | characteristic |
| 612 | C3×C4 | #535 | 1 | 1 | yes | characteristic |
| 613 | C3×C4 | #546 | 1 | 1 | yes | characteristic |
| 614 | C3×C4 | #553 | 1 | 1 | yes | characteristic |
| 615 | Dic3 | — | 4 | 2 | no | — |
| 616 | Dic3 | — | 4 | 1 | no | — |
| 617 | Dic3 | — | 4 | 1 | no | — |
| 618 | Dic3 | — | 8 | 1 | no | — |
| 619 | C23 | — | 2 | 1 | no | — |
| 620 | C23 | — | 2 | 1 | no | — |
| 621 | C23 | — | 6 | 1 | no | — |
| 622 | C23 | — | 6 | 1 | no | — |
| 623 | C23 | — | 6 | 1 | no | — |
| 624 | C23 | — | 6 | 1 | no | — |
| 625 | C23 | — | 12 | 2 | no | — |
| 626 | C23 | D3×#41 | 1 | 1 | yes | characteristic |
| 627 | Q8 | — | 2 | 1 | no | — |
| 628 | Q8 | — | 2 | 1 | no | — |
| 629 | Q8 | — | 2 | 1 | no | — |
| 630 | Q8 | — | 2 | 1 | no | — |
| 631 | Q8 | — | 6 | 1 | no | — |
| 632 | Q8 | — | 6 | 1 | no | — |
| 633 | D4 | — | 2 | 1 | no | — |
| 634 | D4 | — | 2 | 1 | no | — |
| 635 | D4 | — | 2 | 1 | no | — |
| 636 | D4 | — | 2 | 1 | no | — |
| 637 | D4 | — | 4 | 1 | no | — |
| 638 | D4 | — | 4 | 1 | no | — |
| 639 | D4 | — | 4 | 1 | no | — |
| 640 | D4 | — | 4 | 1 | no | — |
| 641 | D4 | — | 6 | 1 | no | — |
| 642 | D4 | — | 6 | 1 | no | — |
| 643 | D4 | — | 12 | 4 | no | — |
| 644 | D4 | — | 12 | 1 | no | — |
| 645 | D4 | — | 12 | 1 | no | — |
| 646 | D4 | — | 24 | 2 | no | — |
| 647 | D4 | — | 24 | 2 | no | — |
| 648 | C2×C4 | — | 2 | 1 | no | — |
| 649 | C2×C4 | — | 2 | 1 | no | — |
| 650 | C2×C4 | — | 4 | 1 | no | — |
| 651 | C2×C4 | — | 4 | 1 | no | — |
| 652 | C2×C4 | — | 4 | 1 | no | — |
| 653 | C2×C4 | — | 4 | 1 | no | — |
| 654 | C2×C4 | — | 4 | 1 | no | — |
| 655 | C2×C4 | — | 6 | 1 | no | — |
| 656 | C2×C4 | — | 6 | 2 | no | — |
| 657 | C2×C4 | — | 6 | 1 | no | — |
| 658 | C2×C4 | — | 6 | 1 | no | — |
| 659 | C2×C4 | — | 6 | 1 | no | — |
| 660 | C2×C4 | — | 12 | 1 | no | — |
| 661 | C2×C4 | — | 12 | 1 | no | — |
| 662 | C2×C4 | — | 12 | 1 | no | — |
| 663 | C2×C4 | — | 12 | 1 | no | — |
| 664 | C2×C4 | — | 12 | 1 | no | — |
| 665 | C2×C4 | — | 12 | 1 | no | — |
| 666 | C2×C4 | — | 12 | 1 | no | — |
| 667 | C2×C4 | C2×#235 | 1 | 1 | yes | characteristic |
| 668 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 669 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 670 | C2×C4 | #1004 | 1 | 1 | yes | characteristic |
| 671 | C2×C4 | #1004 | 1 | 1 | yes | characteristic |
| 672 | C2×C4 | D3×#41 | 1 | 1 | yes | characteristic |
| 673 | C8 | — | 2 | 2 | no | — |
| 674 | C8 | — | 3 | 1 | no | — |
| 675 | C8 | — | 3 | 1 | no | — |
| 676 | C8 | — | 3 | 1 | no | — |
| 677 | C8 | — | 3 | 1 | no | — |
| 678 | C8 | — | 4 | 1 | no | — |
| 679 | C8 | — | 4 | 1 | no | — |
| 680 | C8 | — | 4 | 1 | no | — |
| 681 | C8 | — | 12 | 1 | no | — |
| 682 | C8 | — | 12 | 1 | no | — |
| 683 | C8 | — | 12 | 1 | no | — |
| 684 | C2×C3 | — | 2 | 1 | no | — |
| 685 | C2×C3 | — | 2 | 1 | no | — |
| 686 | C2×C3 | — | 2 | 1 | no | — |
| 687 | C2×C3 | — | 8 | 1 | no | — |
| 688 | C2×C3 | — | 8 | 1 | no | — |
| 689 | C2×C3 | #2535 | 1 | 1 | yes | characteristic |
| 690 | D3 | — | 4 | 2 | no | — |
| 691 | D3 | — | 8 | 1 | no | — |
| 692 | C22 | — | 4 | 1 | no | — |
| 693 | C22 | — | 4 | 2 | no | — |
| 694 | C22 | — | 4 | 1 | no | — |
| 695 | C22 | — | 4 | 1 | no | — |
| 696 | C22 | — | 6 | 2 | no | — |
| 697 | C22 | — | 6 | 2 | no | — |
| 698 | C22 | — | 6 | 2 | no | — |
| 699 | C22 | — | 8 | 1 | no | — |
| 700 | C22 | — | 12 | 1 | no | — |
| 701 | C22 | — | 12 | 1 | no | — |
| 702 | C22 | — | 12 | 1 | no | — |
| 703 | C22 | — | 12 | 1 | no | — |
| 704 | C22 | — | 12 | 1 | no | — |
| 705 | C22 | — | 24 | 1 | no | — |
| 706 | C22 | #5547 | 1 | 1 | yes | characteristic |
| 707 | C22 | #5610 | 1 | 1 | yes | characteristic |
| 708 | C22 | #5661 | 1 | 1 | yes | characteristic |
| 709 | C4 | — | 4 | 1 | no | — |
| 710 | C4 | — | 4 | 1 | no | — |
| 711 | C4 | — | 8 | 1 | no | — |
| 712 | C4 | — | 12 | 2 | no | — |
| 713 | C4 | — | 12 | 1 | no | — |
| 714 | C4 | — | 12 | 1 | no | — |
| 715 | C4 | — | 24 | 1 | no | — |
| 716 | C4 | #5490 | 1 | 1 | yes | characteristic |
| 717 | C4 | #5540 | 1 | 1 | yes | characteristic |
| 718 | C4 | #5592 | 1 | 1 | yes | characteristic |
| 719 | C4 | D3×#121 | 1 | 1 | yes | characteristic |
| 720 | C3 | #28180 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 721 | C2 | — | 2 | 1 | no | — |
| 722 | C2 | — | 2 | 1 | no | — |
| 723 | C2 | — | 2 | 1 | no | — |
| 724 | C2 | — | 8 | 1 | no | — |
| 725 | C2 | — | 8 | 1 | no | — |
| 726 | C2 | — | 12 | 2 | no | — |
| 727 | C2 | — | 24 | 1 | no | — |
| 728 | C2 | #74751 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta