| 1 | #83406 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #83399 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #79210 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#4824 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #78912 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | C2×#4755 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C3×#2038 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #70679 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #70360 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #70300 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #70109 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #69693 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #69677 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #68775 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #68747 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #24798 | — | 3 | 1 | no | maximal, Sylow |
| 17 | C3×#536 | C22 | 1 | 1 | yes | characteristic |
| 18 | #5825 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#950 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#948 | C22 | 1 | 1 | yes | characteristic |
| 21 | C22×#216 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#942 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#909 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#907 | C22 | 1 | 1 | yes | characteristic |
| 25 | #5523 | C22 | 1 | 1 | yes | characteristic |
| 26 | #5504 | C22 | 1 | 1 | yes | characteristic |
| 27 | C3×#428 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×C3×#104 | C22 | 1 | 1 | yes | characteristic |
| 29 | C3×#417 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×C3×#101 | C22 | 1 | 1 | yes | characteristic |
| 31 | C3×#391 | C22 | 1 | 1 | yes | characteristic |
| 32 | #5232 | C22 | 1 | 1 | yes | characteristic |
| 33 | #5225 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×#835 | C22 | 1 | 1 | yes | characteristic |
| 35 | C2×#824 | C22 | 1 | 1 | yes | characteristic |
| 36 | C2×#822 | C22 | 1 | 1 | yes | characteristic |
| 37 | C2×#822 | C22 | 1 | 1 | yes | characteristic |
| 38 | #5121 | C22 | 1 | 1 | yes | characteristic |
| 39 | #5119 | C22 | 1 | 1 | yes | characteristic |
| 40 | #5090 | — | 2 | 1 | no | — |
| 41 | #5083 | — | 2 | 1 | no | — |
| 42 | #5057 | — | 2 | 1 | no | — |
| 43 | #5054 | — | 2 | 1 | no | — |
| 44 | #5052 | — | 2 | 1 | no | — |
| 45 | #5052 | — | 2 | 1 | no | — |
| 46 | #5051 | — | 2 | 1 | no | — |
| 47 | #5051 | — | 2 | 1 | no | — |
| 48 | #5004 | C22 | 1 | 1 | yes | characteristic |
| 49 | #4999 | C22 | 1 | 1 | yes | characteristic |
| 50 | #4998 | C22 | 1 | 1 | yes | characteristic |
| 51 | C2×#810 | C22 | 1 | 1 | yes | characteristic |
| 52 | C2×#807 | C22 | 1 | 1 | yes | characteristic |
| 53 | #4929 | C22 | 1 | 1 | yes | characteristic |
| 54 | C2×#805 | C22 | 1 | 1 | yes | characteristic |
| 55 | C2×C4×C3⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 56 | #4881 | — | 2 | 1 | no | — |
| 57 | D3×#107 | — | 2 | 1 | no | — |
| 58 | #4861 | — | 2 | 1 | no | — |
| 59 | #4860 | — | 2 | 1 | no | — |
| 60 | #4824 | — | 2 | 4 | no | — |
| 61 | #4818 | — | 2 | 1 | no | — |
| 62 | #4795 | — | 2 | 1 | no | — |
| 63 | #4787 | — | 2 | 1 | no | — |
| 64 | #4767 | — | 2 | 1 | no | — |
| 65 | #4755 | — | 2 | 4 | no | — |
| 66 | C3×#339 | C22 | 1 | 1 | yes | characteristic |
| 67 | #4554 | C22 | 1 | 1 | yes | characteristic |
| 68 | #4530 | C22 | 1 | 1 | yes | characteristic |
| 69 | #4523 | C22 | 1 | 1 | yes | characteristic |
| 70 | C2×#473 | — | 3 | 1 | no | — |
| 71 | #3059 | — | 3 | 1 | no | — |
| 72 | #3046 | — | 3 | 1 | no | — |
| 73 | #3046 | — | 3 | 1 | no | — |
| 74 | C2×#443 | — | 3 | 1 | no | — |
| 75 | #2913 | — | 3 | 1 | no | — |
| 76 | #2064 | — | 3 | 1 | no | — |
| 77 | #2064 | — | 3 | 1 | no | — |
| 78 | #2038 | — | 3 | 1 | no | — |
| 79 | #2038 | D3 | 1 | 1 | yes | characteristic, complemented |
| 80 | #1969 | — | 3 | 1 | no | — |
| 81 | #1945 | — | 3 | 1 | no | — |
| 82 | #1882 | — | 3 | 1 | no | — |
| 83 | #1882 | — | 3 | 1 | no | — |
| 84 | #1816 | — | 3 | 1 | no | — |
| 85 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 86 | C22×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 88 | C22×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 89 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 91 | C3×C4⋊Q8 | — | 2 | 1 | no | — |
| 92 | C3×#124 | — | 2 | 1 | no | — |
| 93 | C3×#123 | — | 4 | 1 | no | — |
| 94 | C3×C22⋊Q8 | — | 2 | 1 | no | — |
| 95 | C3×C22⋊Q8 | — | 2 | 1 | no | — |
| 96 | C3×#117 | C23 | 1 | 1 | yes | characteristic |
| 97 | C2×C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 98 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 99 | #950 | — | 2 | 2 | no | — |
| 100 | #950 | — | 2 | 2 | no | — |
| 101 | #948 | — | 2 | 2 | no | — |
| 102 | #948 | — | 2 | 2 | no | — |
| 103 | #944 | — | 2 | 1 | no | — |
| 104 | C2×#216 | — | 2 | 1 | no | — |
| 105 | C2×#216 | — | 2 | 2 | no | — |
| 106 | C2×#216 | — | 2 | 1 | no | — |
| 107 | C2×#216 | — | 2 | 1 | no | — |
| 108 | C2×#216 | — | 2 | 2 | no | — |
| 109 | C2×#216 | D4 | 1 | 1 | yes | characteristic |
| 110 | #942 | — | 2 | 2 | no | — |
| 111 | #942 | — | 2 | 2 | no | — |
| 112 | C2×#215 | — | 2 | 1 | no | — |
| 113 | C2×#215 | D4 | 1 | 1 | yes | characteristic |
| 114 | #936 | — | 2 | 1 | no | — |
| 115 | #935 | — | 4 | 1 | no | — |
| 116 | C2×#214 | D4 | 1 | 1 | yes | characteristic |
| 117 | C2×#213 | D4 | 1 | 1 | yes | characteristic |
| 118 | C4×#67 | — | 4 | 1 | no | — |
| 119 | #926 | C23 | 1 | 1 | yes | characteristic |
| 120 | C2×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 121 | #924 | — | 2 | 1 | no | — |
| 122 | #924 | — | 2 | 1 | no | — |
| 123 | C2×#208 | — | 2 | 1 | no | — |
| 124 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 125 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 126 | C22×C3⋊C8 | — | 2 | 1 | no | — |
| 127 | C22×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 128 | C22×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 129 | #909 | — | 2 | 2 | no | — |
| 130 | #909 | — | 2 | 2 | no | — |
| 131 | #907 | — | 2 | 2 | no | — |
| 132 | #907 | D4 | 1 | 4 | yes | — |
| 133 | C2×Dic12 | — | 2 | 1 | no | — |
| 134 | C2×#204 | — | 2 | 1 | no | — |
| 135 | C2×ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 136 | C2×D3×C8 | — | 2 | 1 | no | — |
| 137 | #893 | — | 2 | 1 | no | — |
| 138 | #892 | — | 2 | 1 | no | — |
| 139 | #892 | — | 2 | 1 | no | — |
| 140 | D3×C4⋊C4 | — | 2 | 1 | no | — |
| 141 | D3×C4⋊C4 | — | 2 | 1 | no | — |
| 142 | #887 | — | 2 | 1 | no | — |
| 143 | #67⋊C4 | — | 4 | 1 | no | — |
| 144 | C4×D12 | — | 2 | 1 | no | — |
| 145 | C4×Dic6 | — | 2 | 1 | no | — |
| 146 | C3×#107 | — | 2 | 1 | no | — |
| 147 | C3×#106 | — | 2 | 1 | no | — |
| 148 | C3×#104 | — | 2 | 2 | no | — |
| 149 | C3×#103 | — | 2 | 1 | no | — |
| 150 | C3×#102 | — | 2 | 1 | no | — |
| 151 | C3×#101 | — | 2 | 2 | no | — |
| 152 | C3×#95 | — | 4 | 1 | no | — |
| 153 | #835 | — | 2 | 1 | no | — |
| 154 | #835 | — | 2 | 1 | no | — |
| 155 | #835 | — | 2 | 1 | no | — |
| 156 | #835 | — | 2 | 1 | no | — |
| 157 | #835 | — | 2 | 1 | no | — |
| 158 | #832 | — | 2 | 1 | no | — |
| 159 | C3⋊#95 | — | 4 | 1 | no | — |
| 160 | #824 | — | 2 | 2 | no | — |
| 161 | #822 | — | 2 | 2 | no | — |
| 162 | #822 | — | 2 | 2 | no | — |
| 163 | #818 | — | 2 | 1 | no | — |
| 164 | #817 | — | 2 | 1 | no | — |
| 165 | Dic3⋊C8 | — | 2 | 1 | no | — |
| 166 | Dic3⋊C8 | — | 2 | 1 | no | — |
| 167 | #810 | — | 2 | 1 | no | — |
| 168 | #810 | — | 2 | 1 | no | — |
| 169 | #810 | — | 2 | 1 | no | — |
| 170 | #810 | — | 2 | 1 | no | — |
| 171 | #808 | D4 | 1 | 1 | yes | characteristic |
| 172 | #808 | D4 | 1 | 1 | yes | characteristic |
| 173 | #807 | — | 2 | 1 | no | — |
| 174 | #807 | — | 2 | 1 | no | — |
| 175 | #807 | D4 | 1 | 1 | yes | characteristic |
| 176 | #807 | D4 | 1 | 1 | yes | characteristic |
| 177 | #805 | — | 2 | 2 | no | — |
| 178 | C4⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 179 | C4⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 180 | C4×C3⋊C8 | — | 2 | 2 | no | — |
| 181 | C2×#137 | — | 3 | 1 | no | — |
| 182 | C2×#137 | — | 3 | 1 | no | — |
| 183 | C2×#135 | — | 3 | 1 | no | — |
| 184 | C22×Q16 | — | 3 | 1 | no | — |
| 185 | C2×#131 | — | 3 | 1 | no | — |
| 186 | C2×#131 | — | 3 | 1 | no | — |
| 187 | #536 | — | 3 | 1 | no | — |
| 188 | #536 | C2×D3 | 1 | 1 | yes | characteristic |
| 189 | #520 | — | 3 | 1 | no | — |
| 190 | #520 | — | 3 | 1 | no | — |
| 191 | #473 | — | 6 | 4 | no | — |
| 192 | #470 | — | 6 | 1 | no | — |
| 193 | #470 | — | 6 | 1 | no | — |
| 194 | #467 | — | 6 | 1 | no | — |
| 195 | #467 | — | 6 | 1 | no | — |
| 196 | #464 | — | 6 | 1 | no | — |
| 197 | #464 | — | 6 | 1 | no | — |
| 198 | #463 | — | 6 | 1 | no | — |
| 199 | #463 | — | 6 | 1 | no | — |
| 200 | #462 | — | 6 | 1 | no | — |
| 201 | #462 | — | 6 | 1 | no | — |
| 202 | #461 | — | 6 | 1 | no | — |
| 203 | #461 | — | 6 | 1 | no | — |
| 204 | #443 | — | 6 | 4 | no | — |
| 205 | C2×#108 | — | 3 | 1 | no | — |
| 206 | C2×#108 | — | 3 | 1 | no | — |
| 207 | #428 | — | 3 | 1 | no | — |
| 208 | #428 | — | 6 | 1 | no | — |
| 209 | #428 | — | 6 | 1 | no | — |
| 210 | #428 | C2×D3 | 1 | 1 | yes | characteristic |
| 211 | #427 | — | 3 | 1 | no | — |
| 212 | #427 | — | 6 | 1 | no | — |
| 213 | C2×#107 | — | 3 | 1 | no | — |
| 214 | C2×#107 | — | 6 | 1 | no | — |
| 215 | #424 | — | 3 | 1 | no | — |
| 216 | #424 | — | 3 | 1 | no | — |
| 217 | C2×#104 | — | 3 | 1 | no | — |
| 218 | C2×#104 | C2×D3 | 1 | 1 | yes | characteristic |
| 219 | #419 | — | 3 | 1 | no | — |
| 220 | #419 | — | 3 | 1 | no | — |
| 221 | #417 | — | 3 | 1 | no | — |
| 222 | #417 | C2×D3 | 1 | 1 | yes | characteristic |
| 223 | C2×#103 | — | 3 | 1 | no | — |
| 224 | C2×#103 | — | 3 | 1 | no | — |
| 225 | C2×#101 | — | 3 | 1 | no | — |
| 226 | C2×#101 | C2×D3 | 1 | 1 | yes | characteristic |
| 227 | C2×C4×C8 | — | 3 | 1 | no | — |
| 228 | #391 | — | 3 | 1 | no | — |
| 229 | #391 | C2×D3 | 1 | 1 | yes | characteristic |
| 230 | #343 | — | 3 | 1 | no | — |
| 231 | #343 | — | 3 | 1 | no | — |
| 232 | #339 | — | 3 | 1 | no | — |
| 233 | #339 | C2×D3 | 1 | 1 | yes | characteristic |
| 234 | C3×#41 | — | 2 | 1 | no | — |
| 235 | C3×#41 | — | 2 | 1 | no | — |
| 236 | C3×#41 | — | 2 | 1 | no | — |
| 237 | C3×#41 | — | 2 | 1 | no | — |
| 238 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 239 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 240 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 241 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 242 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 243 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 244 | C2×C3×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 245 | C2×C3×D4 | — | 2 | 1 | no | — |
| 246 | C2×C3×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 247 | C22×C3×C4 | — | 2 | 1 | no | — |
| 248 | C22×C3×C4 | — | 2 | 1 | no | — |
| 249 | C22×C3×C4 | — | 2 | 1 | no | — |
| 250 | C22×C3×C4 | — | 2 | 1 | no | — |
| 251 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 252 | C2×#67 | — | 2 | 1 | no | — |
| 253 | C22×Dic3 | — | 2 | 1 | no | — |
| 254 | C22×Dic3 | — | 2 | 1 | no | — |
| 255 | #235 | — | 2 | 1 | no | — |
| 256 | #235 | — | 2 | 1 | no | — |
| 257 | #235 | C2×D4 | 1 | 2 | yes | — |
| 258 | #235 | #41 | 1 | 2 | yes | — |
| 259 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 260 | C2×C4×D3 | — | 2 | 1 | no | — |
| 261 | C2×C4×D3 | — | 4 | 1 | no | — |
| 262 | C2×C4×D3 | — | 4 | 1 | no | — |
| 263 | C2×Dic6 | — | 2 | 1 | no | — |
| 264 | C2×Dic6 | — | 2 | 1 | no | — |
| 265 | C2×Dic6 | — | 2 | 1 | no | — |
| 266 | C2×Dic6 | — | 2 | 1 | no | — |
| 267 | C2×Dic6 | — | 2 | 1 | no | — |
| 268 | C2×Dic6 | — | 2 | 1 | no | — |
| 269 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 270 | C3×M16 | — | 2 | 1 | no | — |
| 271 | C3×M16 | — | 2 | 1 | no | — |
| 272 | C3×M16 | — | 2 | 1 | no | — |
| 273 | C3×M16 | C2×D4 | 1 | 2 | yes | — |
| 274 | C2×C3×C8 | — | 2 | 1 | no | — |
| 275 | C2×C3×C8 | — | 2 | 1 | no | — |
| 276 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 277 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 278 | C3×C4⋊C4 | — | 4 | 1 | no | — |
| 279 | C3×C4⋊C4 | — | 4 | 1 | no | — |
| 280 | C3×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 281 | C3×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 282 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 283 | C3×C22⋊C4 | — | 4 | 1 | no | — |
| 284 | C3×C22⋊C4 | — | 4 | 1 | no | — |
| 285 | C3×C42 | — | 2 | 1 | no | — |
| 286 | C3×C42 | — | 2 | 1 | no | — |
| 287 | C3×C42 | — | 2 | 1 | no | — |
| 288 | #217 | — | 2 | 1 | no | — |
| 289 | #217 | — | 4 | 1 | no | — |
| 290 | #217 | — | 4 | 1 | no | — |
| 291 | #216 | — | 2 | 2 | no | — |
| 292 | #216 | — | 4 | 2 | no | — |
| 293 | #216 | — | 4 | 2 | no | — |
| 294 | #216 | — | 4 | 2 | no | — |
| 295 | #215 | — | 2 | 2 | no | — |
| 296 | #215 | — | 4 | 2 | no | — |
| 297 | #214 | — | 2 | 2 | no | — |
| 298 | #213 | — | 2 | 2 | no | — |
| 299 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 300 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 301 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 302 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 303 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 304 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 305 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 306 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 307 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 308 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 309 | C4×Dic3 | — | 2 | 1 | no | — |
| 310 | C4×Dic3 | — | 4 | 1 | no | — |
| 311 | C4×Dic3 | — | 4 | 1 | no | — |
| 312 | #208 | — | 2 | 1 | no | — |
| 313 | #208 | — | 2 | 1 | no | — |
| 314 | #208 | — | 2 | 1 | no | — |
| 315 | #208 | — | 2 | 1 | no | — |
| 316 | #208 | — | 4 | 2 | no | — |
| 317 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 318 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 319 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 320 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 321 | C2×C3⋊C8 | — | 4 | 2 | no | — |
| 322 | C2×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 323 | C2×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 324 | C2×C3⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 325 | C2×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 326 | C2×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 327 | C2×C3⋊C8 | #41 | 1 | 2 | yes | — |
| 328 | Dic12 | — | 4 | 2 | no | — |
| 329 | #204 | — | 4 | 2 | no | — |
| 330 | ΓL(1,𝔽25) | — | 2 | 4 | no | — |
| 331 | D3×C8 | — | 2 | 4 | no | — |
| 332 | C2×#41 | — | 3 | 1 | no | — |
| 333 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 334 | C22×Q8 | — | 3 | 1 | no | — |
| 335 | C22×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 336 | #137 | — | 6 | 2 | no | — |
| 337 | #137 | — | 6 | 2 | no | — |
| 338 | #137 | — | 6 | 2 | no | — |
| 339 | #137 | — | 6 | 2 | no | — |
| 340 | #135 | — | 6 | 2 | no | — |
| 341 | #135 | — | 6 | 2 | no | — |
| 342 | C2×Q16 | — | 3 | 1 | no | — |
| 343 | C2×Q16 | — | 6 | 1 | no | — |
| 344 | C2×Q16 | — | 6 | 2 | no | — |
| 345 | C2×Q16 | — | 6 | 1 | no | — |
| 346 | C2×Q16 | — | 6 | 1 | no | — |
| 347 | C2×Q16 | — | 6 | 2 | no | — |
| 348 | C2×Q16 | — | 6 | 1 | no | — |
| 349 | C2×SD16 | — | 3 | 1 | no | — |
| 350 | C2×SD16 | — | 3 | 1 | no | — |
| 351 | C2×SD16 | — | 6 | 1 | no | — |
| 352 | C2×SD16 | — | 6 | 1 | no | — |
| 353 | C2×D8 | — | 3 | 1 | no | — |
| 354 | #131 | — | 3 | 4 | no | — |
| 355 | #131 | — | 6 | 2 | no | — |
| 356 | #131 | — | 6 | 2 | no | — |
| 357 | #131 | — | 6 | 2 | no | — |
| 358 | C2×M16 | — | 3 | 1 | no | — |
| 359 | C2×M16 | — | 3 | 1 | no | — |
| 360 | C2×M16 | — | 6 | 1 | no | — |
| 361 | C2×M16 | — | 6 | 1 | no | — |
| 362 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 363 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 364 | C22×C8 | — | 3 | 1 | no | — |
| 365 | C22×C8 | — | 3 | 1 | no | — |
| 366 | C22×C8 | — | 6 | 1 | no | — |
| 367 | C22×C8 | — | 6 | 1 | no | — |
| 368 | C4⋊Q8 | — | 2 | 1 | no | — |
| 369 | C4⋊Q8 | — | 6 | 1 | no | — |
| 370 | #124 | — | 2 | 1 | no | — |
| 371 | #124 | — | 6 | 1 | no | — |
| 372 | #123 | — | 4 | 1 | no | — |
| 373 | #123 | — | 12 | 1 | no | — |
| 374 | C22⋊Q8 | — | 2 | 1 | no | — |
| 375 | C22⋊Q8 | — | 2 | 1 | no | — |
| 376 | C22⋊Q8 | — | 6 | 1 | no | — |
| 377 | C22⋊Q8 | — | 6 | 1 | no | — |
| 378 | C4×Q8 | — | 6 | 1 | no | — |
| 379 | C4×Q8 | — | 6 | 1 | no | — |
| 380 | C4×D4 | — | 6 | 1 | no | — |
| 381 | C4×D4 | — | 6 | 1 | no | — |
| 382 | C4×D4 | — | 12 | 1 | no | — |
| 383 | C4×D4 | — | 12 | 1 | no | — |
| 384 | #117 | — | 3 | 1 | no | — |
| 385 | #117 | — | 6 | 1 | no | — |
| 386 | #117 | — | 6 | 1 | no | — |
| 387 | #117 | C22×D3 | 1 | 1 | yes | characteristic |
| 388 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 389 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 390 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 391 | C2×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 392 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 393 | #108 | — | 6 | 2 | no | — |
| 394 | #108 | — | 6 | 2 | no | — |
| 395 | #107 | — | 2 | 1 | no | — |
| 396 | #107 | — | 3 | 1 | no | — |
| 397 | #107 | — | 3 | 1 | no | — |
| 398 | #107 | — | 6 | 1 | no | — |
| 399 | #107 | — | 6 | 1 | no | — |
| 400 | #107 | — | 6 | 1 | no | — |
| 401 | #106 | — | 2 | 1 | no | — |
| 402 | #106 | — | 3 | 1 | no | — |
| 403 | #106 | — | 3 | 1 | no | — |
| 404 | #106 | — | 6 | 1 | no | — |
| 405 | C4⋊C8 | — | 6 | 1 | no | — |
| 406 | C4⋊C8 | — | 6 | 1 | no | — |
| 407 | C4⋊C8 | — | 6 | 1 | no | — |
| 408 | C4⋊C8 | — | 6 | 1 | no | — |
| 409 | #104 | — | 2 | 2 | no | — |
| 410 | #104 | — | 6 | 2 | no | — |
| 411 | #103 | — | 2 | 1 | no | — |
| 412 | #103 | — | 6 | 1 | no | — |
| 413 | #103 | — | 6 | 1 | no | — |
| 414 | #103 | — | 6 | 1 | no | — |
| 415 | #103 | — | 6 | 1 | no | — |
| 416 | #103 | — | 6 | 1 | no | — |
| 417 | #103 | — | 6 | 1 | no | — |
| 418 | #103 | — | 6 | 1 | no | — |
| 419 | #103 | — | 6 | 1 | no | — |
| 420 | #103 | — | 6 | 1 | no | — |
| 421 | #102 | — | 2 | 1 | no | — |
| 422 | #102 | — | 6 | 1 | no | — |
| 423 | #101 | — | 2 | 2 | no | — |
| 424 | #101 | — | 6 | 2 | no | — |
| 425 | C4×C8 | — | 6 | 2 | no | — |
| 426 | #95 | — | 4 | 1 | no | — |
| 427 | #95 | — | 12 | 1 | no | — |
| 428 | C23×C3 | — | 2 | 1 | no | — |
| 429 | C23×C3 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 430 | C22×D3 | — | 2 | 1 | no | — |
| 431 | C3×Q8 | — | 2 | 1 | no | — |
| 432 | C3×Q8 | — | 2 | 1 | no | — |
| 433 | C3×Q8 | — | 4 | 1 | no | — |
| 434 | C3×Q8 | — | 4 | 1 | no | — |
| 435 | C3×Q8 | — | 4 | 1 | no | — |
| 436 | C3×Q8 | — | 4 | 1 | no | — |
| 437 | C3×D4 | — | 2 | 1 | no | — |
| 438 | C3×D4 | — | 2 | 1 | no | — |
| 439 | C3×D4 | — | 4 | 1 | no | — |
| 440 | C3×D4 | — | 4 | 1 | no | — |
| 441 | C2×C3×C4 | — | 2 | 2 | no | — |
| 442 | C2×C3×C4 | — | 2 | 1 | no | — |
| 443 | C2×C3×C4 | — | 2 | 1 | no | — |
| 444 | C2×C3×C4 | — | 2 | 1 | no | — |
| 445 | C2×C3×C4 | — | 4 | 1 | no | — |
| 446 | C2×C3×C4 | — | 4 | 1 | no | — |
| 447 | C2×C3×C4 | — | 4 | 1 | no | — |
| 448 | C2×C3×C4 | — | 4 | 1 | no | — |
| 449 | C2×C3×C4 | — | 4 | 1 | no | — |
| 450 | C2×C3×C4 | — | 4 | 1 | no | — |
| 451 | C2×C3×C4 | — | 4 | 1 | no | — |
| 452 | C2×C3×C4 | — | 4 | 1 | no | — |
| 453 | C2×C3×C4 | — | 8 | 1 | no | — |
| 454 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 455 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 456 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 457 | C2×C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 458 | C2×C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 459 | C2×C3×C4 | 2−1+4 | 1 | 1 | yes | characteristic |
| 460 | #67 | — | 2 | 2 | no | — |
| 461 | #67 | — | 2 | 2 | no | — |
| 462 | C2×Dic3 | — | 2 | 1 | no | — |
| 463 | C2×Dic3 | — | 2 | 1 | no | — |
| 464 | C2×Dic3 | — | 2 | 1 | no | — |
| 465 | C2×Dic3 | — | 4 | 1 | no | — |
| 466 | C2×Dic3 | — | 4 | 1 | no | — |
| 467 | C2×Dic3 | — | 4 | 1 | no | — |
| 468 | C2×Dic3 | — | 4 | 1 | no | — |
| 469 | C2×Dic3 | — | 8 | 1 | no | — |
| 470 | D12 | — | 2 | 1 | no | — |
| 471 | D12 | #121 | 1 | 2 | yes | — |
| 472 | C4×D3 | — | 2 | 2 | no | — |
| 473 | C4×D3 | — | 2 | 2 | no | — |
| 474 | C4×D3 | — | 16 | 1 | no | — |
| 475 | C4×D3 | — | 16 | 1 | no | — |
| 476 | Dic6 | — | 2 | 1 | no | — |
| 477 | Dic6 | — | 4 | 1 | no | — |
| 478 | Dic6 | — | 4 | 1 | no | — |
| 479 | Dic6 | — | 4 | 1 | no | — |
| 480 | Dic6 | — | 4 | 1 | no | — |
| 481 | Dic6 | #121 | 1 | 2 | yes | — |
| 482 | C3×C8 | — | 2 | 2 | no | — |
| 483 | C3×C8 | — | 4 | 1 | no | — |
| 484 | C3⋊C8 | — | 2 | 1 | no | — |
| 485 | C3⋊C8 | — | 2 | 1 | no | — |
| 486 | C3⋊C8 | — | 4 | 1 | no | — |
| 487 | C3⋊C8 | — | 4 | 1 | no | — |
| 488 | C3⋊C8 | #121 | 1 | 2 | yes | — |
| 489 | C3⋊C8 | #121 | 1 | 2 | yes | — |
| 490 | #41 | — | 2 | 1 | no | — |
| 491 | #41 | — | 2 | 1 | no | — |
| 492 | #41 | — | 2 | 1 | no | — |
| 493 | #41 | — | 2 | 1 | no | — |
| 494 | #41 | — | 3 | 2 | no | — |
| 495 | #41 | — | 3 | 2 | no | — |
| 496 | #41 | — | 6 | 1 | no | — |
| 497 | #41 | — | 6 | 1 | no | — |
| 498 | C2×Q8 | — | 2 | 1 | no | — |
| 499 | C2×Q8 | — | 2 | 1 | no | — |
| 500 | C2×Q8 | — | 2 | 1 | no | — |
| 501 | C2×Q8 | — | 2 | 1 | no | — |
| 502 | C2×Q8 | — | 2 | 1 | no | — |
| 503 | C2×Q8 | — | 2 | 1 | no | — |
| 504 | C2×Q8 | — | 3 | 1 | no | — |
| 505 | C2×Q8 | — | 6 | 1 | no | — |
| 506 | C2×Q8 | — | 6 | 1 | no | — |
| 507 | C2×Q8 | — | 6 | 1 | no | — |
| 508 | C2×Q8 | — | 6 | 1 | no | — |
| 509 | C2×Q8 | — | 6 | 1 | no | — |
| 510 | C2×Q8 | — | 6 | 1 | no | — |
| 511 | C2×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 512 | C2×D4 | — | 2 | 1 | no | — |
| 513 | C2×D4 | — | 3 | 1 | no | — |
| 514 | C2×D4 | — | 6 | 1 | no | — |
| 515 | C2×D4 | D3×D4 | 1 | 1 | yes | characteristic |
| 516 | C22×C4 | — | 2 | 1 | no | — |
| 517 | C22×C4 | — | 2 | 1 | no | — |
| 518 | C22×C4 | — | 2 | 1 | no | — |
| 519 | C22×C4 | — | 2 | 1 | no | — |
| 520 | C22×C4 | — | 6 | 1 | no | — |
| 521 | C22×C4 | — | 6 | 1 | no | — |
| 522 | C22×C4 | — | 6 | 1 | no | — |
| 523 | C22×C4 | — | 12 | 1 | no | — |
| 524 | C22×C4 | — | 12 | 1 | no | — |
| 525 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 526 | Q16 | — | 6 | 2 | no | — |
| 527 | Q16 | — | 12 | 2 | no | — |
| 528 | Q16 | — | 12 | 2 | no | — |
| 529 | Q16 | — | 12 | 2 | no | — |
| 530 | Q16 | — | 12 | 2 | no | — |
| 531 | SD16 | — | 6 | 2 | no | — |
| 532 | SD16 | — | 6 | 2 | no | — |
| 533 | SD16 | — | 12 | 2 | no | — |
| 534 | SD16 | — | 12 | 2 | no | — |
| 535 | D8 | — | 6 | 2 | no | — |
| 536 | M16 | — | 2 | 1 | no | — |
| 537 | M16 | — | 2 | 1 | no | — |
| 538 | M16 | — | 2 | 1 | no | — |
| 539 | M16 | — | 6 | 4 | no | — |
| 540 | M16 | — | 6 | 1 | no | — |
| 541 | M16 | — | 6 | 1 | no | — |
| 542 | M16 | — | 6 | 1 | no | — |
| 543 | M16 | — | 6 | 1 | no | — |
| 544 | M16 | — | 12 | 2 | no | — |
| 545 | M16 | D3×D4 | 1 | 2 | yes | — |
| 546 | C2×C8 | — | 2 | 1 | no | — |
| 547 | C2×C8 | — | 2 | 1 | no | — |
| 548 | C2×C8 | — | 3 | 2 | no | — |
| 549 | C2×C8 | — | 3 | 1 | no | — |
| 550 | C2×C8 | — | 3 | 1 | no | — |
| 551 | C2×C8 | — | 3 | 2 | no | — |
| 552 | C2×C8 | — | 3 | 1 | no | — |
| 553 | C2×C8 | — | 3 | 1 | no | — |
| 554 | C2×C8 | — | 6 | 4 | no | — |
| 555 | C2×C8 | — | 6 | 1 | no | — |
| 556 | C2×C8 | — | 6 | 1 | no | — |
| 557 | C2×C8 | — | 6 | 1 | no | — |
| 558 | C2×C8 | — | 6 | 1 | no | — |
| 559 | C2×C8 | — | 12 | 2 | no | — |
| 560 | C4⋊C4 | — | 2 | 1 | no | — |
| 561 | C4⋊C4 | — | 2 | 1 | no | — |
| 562 | C4⋊C4 | — | 3 | 1 | no | — |
| 563 | C4⋊C4 | — | 3 | 1 | no | — |
| 564 | C4⋊C4 | — | 4 | 1 | no | — |
| 565 | C4⋊C4 | — | 4 | 1 | no | — |
| 566 | C4⋊C4 | — | 6 | 1 | no | — |
| 567 | C4⋊C4 | — | 6 | 1 | no | — |
| 568 | C4⋊C4 | — | 12 | 1 | no | — |
| 569 | C4⋊C4 | — | 12 | 1 | no | — |
| 570 | C4⋊C4 | — | 12 | 1 | no | — |
| 571 | C4⋊C4 | — | 12 | 1 | no | — |
| 572 | C4⋊C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 573 | C4⋊C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 574 | C22⋊C4 | — | 2 | 1 | no | — |
| 575 | C22⋊C4 | — | 4 | 1 | no | — |
| 576 | C22⋊C4 | — | 4 | 1 | no | — |
| 577 | C22⋊C4 | — | 6 | 1 | no | — |
| 578 | C22⋊C4 | — | 12 | 1 | no | — |
| 579 | C22⋊C4 | — | 12 | 1 | no | — |
| 580 | C22⋊C4 | — | 12 | 1 | no | — |
| 581 | C22⋊C4 | — | 12 | 1 | no | — |
| 582 | C42 | — | 2 | 1 | no | — |
| 583 | C42 | — | 2 | 1 | no | — |
| 584 | C42 | — | 2 | 1 | no | — |
| 585 | C42 | — | 6 | 1 | no | — |
| 586 | C42 | — | 12 | 1 | no | — |
| 587 | C42 | — | 12 | 1 | no | — |
| 588 | C22×C3 | — | 2 | 1 | no | — |
| 589 | C22×C3 | — | 2 | 1 | no | — |
| 590 | C22×C3 | — | 4 | 1 | no | — |
| 591 | C22×C3 | — | 4 | 1 | no | — |
| 592 | C22×C3 | — | 4 | 1 | no | — |
| 593 | C22×C3 | #537 | 1 | 1 | yes | characteristic |
| 594 | C22×C3 | D42 | 1 | 1 | yes | characteristic |
| 595 | C22×C3 | #553 | 1 | 1 | yes | characteristic |
| 596 | C2×D3 | — | 2 | 2 | no | — |
| 597 | C2×D3 | — | 4 | 1 | no | — |
| 598 | C2×D3 | — | 4 | 1 | no | — |
| 599 | C3×C4 | — | 4 | 2 | no | — |
| 600 | C3×C4 | — | 4 | 1 | no | — |
| 601 | C3×C4 | — | 4 | 1 | no | — |
| 602 | C3×C4 | — | 4 | 1 | no | — |
| 603 | C3×C4 | — | 8 | 1 | no | — |
| 604 | C3×C4 | — | 8 | 1 | no | — |
| 605 | C3×C4 | C2×#121 | 1 | 1 | yes | characteristic |
| 606 | C3×C4 | C2×#121 | 1 | 1 | yes | characteristic |
| 607 | C3×C4 | #547 | 1 | 1 | yes | characteristic |
| 608 | C3×C4 | #548 | 1 | 1 | yes | characteristic |
| 609 | Dic3 | — | 2 | 2 | no | — |
| 610 | Dic3 | — | 4 | 1 | no | — |
| 611 | Dic3 | — | 4 | 1 | no | — |
| 612 | Dic3 | — | 8 | 1 | no | — |
| 613 | Dic3 | — | 8 | 1 | no | — |
| 614 | C23 | — | 2 | 1 | no | — |
| 615 | C23 | — | 6 | 1 | no | — |
| 616 | C23 | #1004 | 1 | 1 | yes | characteristic |
| 617 | Q8 | — | 2 | 1 | no | — |
| 618 | Q8 | — | 2 | 1 | no | — |
| 619 | Q8 | — | 3 | 2 | no | — |
| 620 | Q8 | — | 4 | 1 | no | — |
| 621 | Q8 | — | 4 | 1 | no | — |
| 622 | Q8 | — | 4 | 1 | no | — |
| 623 | Q8 | — | 4 | 1 | no | — |
| 624 | Q8 | — | 6 | 1 | no | — |
| 625 | Q8 | — | 12 | 1 | no | — |
| 626 | Q8 | — | 12 | 1 | no | — |
| 627 | Q8 | — | 12 | 1 | no | — |
| 628 | Q8 | — | 12 | 1 | no | — |
| 629 | D4 | — | 2 | 1 | no | — |
| 630 | D4 | — | 2 | 1 | no | — |
| 631 | D4 | — | 3 | 2 | no | — |
| 632 | D4 | — | 4 | 1 | no | — |
| 633 | D4 | — | 4 | 1 | no | — |
| 634 | D4 | — | 6 | 2 | no | — |
| 635 | D4 | — | 6 | 2 | no | — |
| 636 | D4 | — | 6 | 1 | no | — |
| 637 | C2×C4 | — | 2 | 2 | no | — |
| 638 | C2×C4 | — | 2 | 1 | no | — |
| 639 | C2×C4 | — | 2 | 1 | no | — |
| 640 | C2×C4 | — | 2 | 1 | no | — |
| 641 | C2×C4 | — | 4 | 1 | no | — |
| 642 | C2×C4 | — | 4 | 1 | no | — |
| 643 | C2×C4 | — | 4 | 1 | no | — |
| 644 | C2×C4 | — | 4 | 1 | no | — |
| 645 | C2×C4 | — | 4 | 1 | no | — |
| 646 | C2×C4 | — | 4 | 1 | no | — |
| 647 | C2×C4 | — | 4 | 1 | no | — |
| 648 | C2×C4 | — | 4 | 1 | no | — |
| 649 | C2×C4 | — | 6 | 1 | no | — |
| 650 | C2×C4 | — | 6 | 2 | no | — |
| 651 | C2×C4 | — | 6 | 2 | no | — |
| 652 | C2×C4 | — | 6 | 1 | no | — |
| 653 | C2×C4 | — | 6 | 1 | no | — |
| 654 | C2×C4 | — | 8 | 1 | no | — |
| 655 | C2×C4 | — | 12 | 1 | no | — |
| 656 | C2×C4 | — | 12 | 1 | no | — |
| 657 | C2×C4 | — | 12 | 1 | no | — |
| 658 | C2×C4 | — | 12 | 1 | no | — |
| 659 | C2×C4 | — | 24 | 1 | no | — |
| 660 | C2×C4 | — | 48 | 1 | no | — |
| 661 | C2×C4 | — | 48 | 1 | no | — |
| 662 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 663 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 664 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 665 | C2×C4 | D3×#41 | 1 | 1 | yes | characteristic |
| 666 | C2×C4 | D3×#41 | 1 | 1 | yes | characteristic |
| 667 | C2×C4 | #1010 | 1 | 1 | yes | characteristic |
| 668 | C8 | — | 2 | 2 | no | — |
| 669 | C8 | — | 3 | 2 | no | — |
| 670 | C8 | — | 3 | 2 | no | — |
| 671 | C8 | — | 4 | 1 | no | — |
| 672 | C8 | — | 6 | 1 | no | — |
| 673 | C8 | — | 6 | 1 | no | — |
| 674 | C8 | — | 12 | 1 | no | — |
| 675 | C8 | — | 12 | 1 | no | — |
| 676 | C2×C3 | — | 2 | 1 | no | — |
| 677 | C2×C3 | — | 2 | 1 | no | — |
| 678 | C2×C3 | — | 8 | 1 | no | — |
| 679 | C2×C3 | #2416 | 1 | 1 | yes | characteristic |
| 680 | C2×C3 | #3290 | 1 | 1 | yes | characteristic |
| 681 | C2×C3 | #3293 | 1 | 1 | yes | characteristic |
| 682 | D3 | — | 4 | 2 | no | — |
| 683 | C22 | — | 2 | 1 | no | — |
| 684 | C22 | — | 2 | 1 | no | — |
| 685 | C22 | — | 4 | 1 | no | — |
| 686 | C22 | — | 4 | 1 | no | — |
| 687 | C22 | — | 4 | 1 | no | — |
| 688 | C22 | — | 6 | 2 | no | — |
| 689 | C22 | — | 12 | 1 | no | — |
| 690 | C22 | — | 12 | 1 | no | — |
| 691 | C22 | #5590 | 1 | 1 | yes | characteristic |
| 692 | C22 | #5608 | 1 | 1 | yes | characteristic |
| 693 | C22 | #5661 | 1 | 1 | yes | characteristic |
| 694 | C4 | — | 4 | 2 | no | — |
| 695 | C4 | — | 4 | 1 | no | — |
| 696 | C4 | — | 4 | 1 | no | — |
| 697 | C4 | — | 4 | 1 | no | — |
| 698 | C4 | — | 6 | 2 | no | — |
| 699 | C4 | — | 8 | 1 | no | — |
| 700 | C4 | — | 8 | 1 | no | — |
| 701 | C4 | — | 12 | 1 | no | — |
| 702 | C4 | — | 12 | 1 | no | — |
| 703 | C4 | — | 24 | 1 | no | — |
| 704 | C4 | — | 24 | 1 | no | — |
| 705 | C4 | D3×#121 | 1 | 1 | yes | characteristic |
| 706 | C4 | D3×#121 | 1 | 1 | yes | characteristic |
| 707 | C4 | #5655 | 1 | 1 | yes | characteristic |
| 708 | C4 | #5677 | 1 | 1 | yes | characteristic |
| 709 | C3 | #24798 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 710 | C2 | — | 2 | 1 | no | — |
| 711 | C2 | — | 2 | 1 | no | — |
| 712 | C2 | — | 8 | 1 | no | — |
| 713 | C2 | — | 12 | 2 | no | — |
| 714 | C2 | #76898 | 1 | 1 | yes | characteristic |
| 715 | C2 | #80289 | 1 | 1 | yes | characteristic |
| 716 | C2 | #80303 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta