| 1 | C2×#16863666 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×#16863208 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#16863208 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #22561837 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #22558322 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #22558312 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C67×#2916 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×#14524068 | — | 2 | 1 | no | — |
| 9 | C22×D536 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×#14523983 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×#14523983 | C22 | 1 | 1 | yes | characteristic |
| 12 | #16863666 | — | 2 | 2 | no | — |
| 13 | #16863666 | C4 | 1 | 4 | yes | — |
| 14 | C2×#14523979 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×#14523959 | — | 2 | 1 | no | — |
| 16 | #16863208 | — | 2 | 2 | no | — |
| 17 | #16863208 | — | 2 | 2 | no | — |
| 18 | #16863180 | — | 2 | 2 | no | — |
| 19 | #568×C67 | — | 2 | 1 | no | — |
| 20 | C2×#131×C67 | C22 | 1 | 1 | yes | characteristic |
| 21 | #430×C67 | — | 2 | 1 | no | — |
| 22 | #430×C67 | — | 2 | 2 | no | — |
| 23 | C2×#108×C67 | — | 2 | 2 | no | — |
| 24 | C2×#108×C67 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#108×C67 | C22 | 1 | 1 | yes | characteristic |
| 26 | C22×D268 | — | 2 | 1 | no | — |
| 27 | #14524068 | — | 2 | 4 | no | — |
| 28 | #14524068 | — | 4 | 2 | no | — |
| 29 | C2×#11761615 | — | 4 | 1 | no | — |
| 30 | C2×D536 | — | 2 | 1 | no | — |
| 31 | C2×D536 | — | 2 | 1 | no | — |
| 32 | C2×D536 | — | 2 | 1 | no | — |
| 33 | C2×D536 | — | 2 | 1 | no | — |
| 34 | C2×D536 | — | 2 | 1 | no | — |
| 35 | C2×D536 | C2×C4 | 1 | 2 | yes | — |
| 36 | C2×#11761613 | — | 4 | 1 | no | — |
| 37 | C2×#11761612 | — | 2 | 1 | no | — |
| 38 | #14523983 | — | 2 | 1 | no | — |
| 39 | #14523983 | — | 2 | 1 | no | — |
| 40 | #14523983 | — | 2 | 1 | no | — |
| 41 | #14523983 | — | 2 | 1 | no | — |
| 42 | C2×C67⋊C16 | — | 2 | 1 | no | — |
| 43 | C2×C67⋊C16 | — | 2 | 1 | no | — |
| 44 | #14523979 | — | 2 | 1 | no | — |
| 45 | #14523979 | C2×C4 | 1 | 2 | yes | — |
| 46 | #14523959 | — | 2 | 4 | no | — |
| 47 | C2×#41×C67 | D4 | 1 | 1 | yes | characteristic |
| 48 | #131×C67 | — | 2 | 1 | no | — |
| 49 | #131×C67 | — | 2 | 1 | no | — |
| 50 | #131×C67 | — | 4 | 2 | no | — |
| 51 | #131×C67 | — | 4 | 2 | no | — |
| 52 | #131×C67 | C2×C4 | 1 | 2 | yes | — |
| 53 | #131×C67 | D4 | 1 | 2 | yes | — |
| 54 | C2×M16×C67 | — | 2 | 1 | no | — |
| 55 | C2×M16×C67 | — | 2 | 4 | no | — |
| 56 | C2×M16×C67 | — | 2 | 1 | no | — |
| 57 | C2×M16×C67 | — | 2 | 1 | no | — |
| 58 | C2×M16×C67 | D4 | 1 | 1 | yes | characteristic |
| 59 | C22×C8×C67 | — | 2 | 1 | no | — |
| 60 | C22×C8×C67 | C23 | 1 | 1 | yes | characteristic |
| 61 | #108×C67 | — | 2 | 4 | no | — |
| 62 | #108×C67 | — | 2 | 1 | no | — |
| 63 | #108×C67 | — | 2 | 1 | no | — |
| 64 | #108×C67 | D4 | 1 | 2 | yes | — |
| 65 | #108×C67 | D4 | 1 | 2 | yes | — |
| 66 | C23×D67 | — | 4 | 1 | no | — |
| 67 | C2×D268 | — | 2 | 2 | no | — |
| 68 | C2×D268 | — | 4 | 1 | no | — |
| 69 | C2×D268 | — | 4 | 1 | no | — |
| 70 | C2×D268 | — | 4 | 1 | no | — |
| 71 | C2×D268 | — | 4 | 1 | no | — |
| 72 | C2×D268 | — | 4 | 1 | no | — |
| 73 | #11761615 | — | 4 | 4 | no | — |
| 74 | D536 | — | 2 | 2 | no | — |
| 75 | D536 | — | 2 | 2 | no | — |
| 76 | D536 | — | 4 | 1 | no | — |
| 77 | D536 | — | 4 | 1 | no | — |
| 78 | #11761613 | — | 4 | 4 | no | — |
| 79 | #11761612 | — | 2 | 2 | no | — |
| 80 | #11761612 | — | 4 | 1 | no | — |
| 81 | C2×C67⋊C8 | — | 4 | 1 | no | — |
| 82 | C67⋊C16 | — | 4 | 1 | no | — |
| 83 | C67⋊C16 | — | 4 | 1 | no | — |
| 84 | #41×C67 | — | 2 | 1 | no | — |
| 85 | #41×C67 | — | 2 | 1 | no | — |
| 86 | #41×C67 | C22⋊C4 | 1 | 2 | yes | — |
| 87 | #41×C67 | D8 | 1 | 2 | yes | — |
| 88 | C2×Q8×C67 | SD16 | 1 | 1 | yes | characteristic |
| 89 | C2×D4×C67 | — | 2 | 1 | no | — |
| 90 | C2×D4×C67 | SD16 | 1 | 1 | yes | characteristic |
| 91 | C22×C4×C67 | — | 2 | 1 | no | — |
| 92 | C22×C4×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 93 | M16×C67 | — | 2 | 1 | no | — |
| 94 | M16×C67 | — | 2 | 2 | no | — |
| 95 | M16×C67 | — | 2 | 2 | no | — |
| 96 | M16×C67 | — | 2 | 2 | no | — |
| 97 | M16×C67 | — | 2 | 2 | no | — |
| 98 | M16×C67 | — | 4 | 4 | no | — |
| 99 | M16×C67 | — | 4 | 1 | no | — |
| 100 | M16×C67 | — | 4 | 1 | no | — |
| 101 | M16×C67 | C22⋊C4 | 1 | 2 | yes | — |
| 102 | C2×C8×C67 | — | 2 | 1 | no | — |
| 103 | C2×C8×C67 | — | 2 | 2 | no | — |
| 104 | C2×C8×C67 | — | 2 | 2 | no | — |
| 105 | C2×C8×C67 | — | 4 | 4 | no | — |
| 106 | C2×C8×C67 | — | 4 | 1 | no | — |
| 107 | C2×C8×C67 | — | 4 | 1 | no | — |
| 108 | C2×C8×C67 | C22×C4 | 1 | 1 | yes | characteristic |
| 109 | C2×C8×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 110 | C2×C8×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 111 | C2×C8×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 112 | C2×C8×C67 | #41 | 1 | 1 | yes | characteristic |
| 113 | C2×C8×C67 | #41 | 1 | 1 | yes | characteristic |
| 114 | C23×C67 | — | 2 | 1 | no | — |
| 115 | C23×C67 | #137 | 1 | 1 | yes | characteristic |
| 116 | C22×D67 | — | 4 | 2 | no | — |
| 117 | C22×D67 | — | 8 | 1 | no | — |
| 118 | C22×D67 | — | 8 | 1 | no | — |
| 119 | C22×D67 | — | 16 | 2 | no | — |
| 120 | Q8×C67 | — | 2 | 1 | no | — |
| 121 | Q8×C67 | #102 | 1 | 2 | yes | — |
| 122 | D4×C67 | — | 2 | 2 | no | — |
| 123 | D4×C67 | — | 2 | 2 | no | — |
| 124 | D4×C67 | — | 2 | 1 | no | — |
| 125 | D4×C67 | #102 | 1 | 2 | yes | — |
| 126 | C2×C4×C67 | — | 2 | 1 | no | — |
| 127 | C2×C4×C67 | — | 2 | 2 | no | — |
| 128 | C2×C4×C67 | — | 2 | 2 | no | — |
| 129 | C2×C4×C67 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 130 | C2×C4×C67 | #120 | 1 | 1 | yes | characteristic |
| 131 | C2×C4×C67 | #123 | 1 | 1 | yes | characteristic |
| 132 | C2×C4×C67 | C2×D8 | 1 | 1 | yes | characteristic |
| 133 | C2×C4×C67 | C2×SD16 | 1 | 1 | yes | characteristic |
| 134 | C2×C4×C67 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 135 | D268 | — | 4 | 2 | no | — |
| 136 | D268 | — | 4 | 2 | no | — |
| 137 | D268 | — | 8 | 1 | no | — |
| 138 | D268 | — | 8 | 1 | no | — |
| 139 | C8×C67 | — | 2 | 2 | no | — |
| 140 | C8×C67 | — | 4 | 2 | no | — |
| 141 | C8×C67 | — | 4 | 2 | no | — |
| 142 | C8×C67 | C4×D4 | 1 | 1 | yes | characteristic |
| 143 | C8×C67 | C4×D4 | 1 | 1 | yes | characteristic |
| 144 | C8×C67 | #121 | 1 | 1 | yes | characteristic |
| 145 | C8×C67 | #121 | 1 | 1 | yes | characteristic |
| 146 | C67⋊C8 | — | 4 | 2 | no | — |
| 147 | C22×C67 | — | 2 | 2 | no | — |
| 148 | C22×C67 | — | 4 | 1 | no | — |
| 149 | C22×C67 | — | 8 | 1 | no | — |
| 150 | C22×C67 | #417 | 1 | 1 | yes | characteristic |
| 151 | C22×C67 | #448 | 1 | 1 | yes | characteristic |
| 152 | C22×C67 | #480 | 1 | 1 | yes | characteristic |
| 153 | C2×D67 | — | 8 | 2 | no | — |
| 154 | C2×D67 | — | 16 | 2 | no | — |
| 155 | C2×D67 | — | 16 | 2 | no | — |
| 156 | C2×D67 | — | 16 | 2 | no | — |
| 157 | C4×C67 | — | 2 | 2 | no | — |
| 158 | C4×C67 | #386 | 1 | 1 | yes | characteristic |
| 159 | C4×C67 | C2×#102 | 1 | 1 | yes | characteristic |
| 160 | C4×C67 | #447 | 1 | 1 | yes | characteristic |
| 161 | C4×C67 | #481 | 1 | 1 | yes | characteristic |
| 162 | #13007 | — | 67 | 1 | no | maximal, Sylow |
| 163 | C2×C67 | — | 2 | 1 | no | — |
| 164 | C2×C67 | — | 2 | 1 | no | — |
| 165 | C2×C67 | — | 2 | 1 | no | — |
| 166 | C2×C67 | — | 4 | 2 | no | — |
| 167 | C2×C67 | #1874 | 1 | 1 | yes | characteristic |
| 168 | D67 | — | 16 | 2 | no | — |
| 169 | C2×#472 | — | 67 | 1 | no | — |
| 170 | #2916 | D67 | 1 | 1 | yes | characteristic, complemented |
| 171 | C2×#361 | — | 67 | 1 | no | — |
| 172 | C2×#361 | — | 67 | 1 | no | — |
| 173 | #2117 | — | 67 | 1 | no | — |
| 174 | #1388 | — | 67 | 1 | no | — |
| 175 | #1385 | — | 67 | 1 | no | — |
| 176 | C67 | #13007 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 177 | C2×AGL(1,ℤ/8) | — | 134 | 1 | no | — |
| 178 | C22×D8 | — | 67 | 1 | no | — |
| 179 | #568 | — | 2 | 1 | no | — |
| 180 | C2×#131 | C2×D67 | 1 | 1 | yes | characteristic |
| 181 | C2×M32 | — | 67 | 1 | no | — |
| 182 | C2×M32 | — | 67 | 1 | no | — |
| 183 | #472 | — | 67 | 4 | no | — |
| 184 | #472 | — | 134 | 2 | no | — |
| 185 | #430 | — | 2 | 1 | no | — |
| 186 | #430 | — | 2 | 2 | no | — |
| 187 | C2×#108 | — | 2 | 2 | no | — |
| 188 | C2×#108 | — | 67 | 1 | no | — |
| 189 | C2×#108 | C2×D67 | 1 | 1 | yes | characteristic |
| 190 | C2×#108 | C2×D67 | 1 | 1 | yes | characteristic |
| 191 | C2×#100 | — | 134 | 1 | no | — |
| 192 | #361 | — | 134 | 2 | no | — |
| 193 | #361 | — | 134 | 2 | no | — |
| 194 | #350 | — | 134 | 2 | no | — |
| 195 | C2×#41 | C22⋊D67 | 1 | 1 | yes | characteristic |
| 196 | C22×D4 | — | 134 | 1 | no | — |
| 197 | AGL(1,ℤ/8) | — | 268 | 2 | no | — |
| 198 | AGL(1,ℤ/8) | — | 134 | 4 | no | — |
| 199 | C2×SD16 | — | 268 | 1 | no | — |
| 200 | C2×D8 | — | 268 | 1 | no | — |
| 201 | C2×D8 | — | 67 | 2 | no | — |
| 202 | C2×D8 | — | 134 | 1 | no | — |
| 203 | C2×D8 | — | 134 | 1 | no | — |
| 204 | C2×D8 | — | 134 | 1 | no | — |
| 205 | C2×D8 | — | 134 | 1 | no | — |
| 206 | C2×D8 | — | 134 | 1 | no | — |
| 207 | #131 | — | 2 | 1 | no | — |
| 208 | #131 | — | 2 | 1 | no | — |
| 209 | #131 | — | 4 | 2 | no | — |
| 210 | #131 | — | 4 | 2 | no | — |
| 211 | #131 | C4×D67 | 1 | 2 | yes | — |
| 212 | #131 | D268 | 1 | 2 | yes | — |
| 213 | C2×M16 | — | 2 | 1 | no | — |
| 214 | C2×M16 | — | 2 | 4 | no | — |
| 215 | C2×M16 | — | 2 | 1 | no | — |
| 216 | C2×M16 | — | 2 | 1 | no | — |
| 217 | C2×M16 | — | 134 | 1 | no | — |
| 218 | C2×M16 | C22⋊D67 | 1 | 1 | yes | characteristic |
| 219 | C22×C8 | — | 2 | 1 | no | — |
| 220 | C22×C8 | C22×D67 | 1 | 1 | yes | characteristic |
| 221 | M32 | — | 134 | 1 | no | — |
| 222 | M32 | — | 134 | 1 | no | — |
| 223 | M32 | — | 134 | 1 | no | — |
| 224 | M32 | — | 134 | 1 | no | — |
| 225 | C2×C16 | — | 134 | 1 | no | — |
| 226 | C2×C16 | — | 134 | 1 | no | — |
| 227 | #108 | — | 2 | 4 | no | — |
| 228 | #108 | — | 2 | 1 | no | — |
| 229 | #108 | — | 2 | 1 | no | — |
| 230 | #108 | — | 67 | 2 | no | — |
| 231 | #108 | — | 134 | 1 | no | — |
| 232 | #108 | C22⋊D67 | 1 | 2 | yes | — |
| 233 | #108 | C22⋊D67 | 1 | 2 | yes | — |
| 234 | #100 | — | 134 | 4 | no | — |
| 235 | C24 | — | 268 | 1 | no | — |
| 236 | #41 | — | 2 | 1 | no | — |
| 237 | #41 | — | 2 | 1 | no | — |
| 238 | #41 | (C2×D67)⋊C4 | 1 | 2 | yes | — |
| 239 | #41 | #11761613 | 1 | 2 | yes | — |
| 240 | C2×Q8 | #11761615 | 1 | 1 | yes | characteristic |
| 241 | C2×D4 | — | 2 | 1 | no | — |
| 242 | C2×D4 | — | 268 | 1 | no | — |
| 243 | C2×D4 | — | 268 | 1 | no | — |
| 244 | C2×D4 | — | 268 | 1 | no | — |
| 245 | C2×D4 | — | 268 | 1 | no | — |
| 246 | C2×D4 | — | 268 | 1 | no | — |
| 247 | C2×D4 | — | 134 | 2 | no | — |
| 248 | C2×D4 | #11761615 | 1 | 1 | yes | characteristic |
| 249 | C22×C4 | — | 2 | 1 | no | — |
| 250 | C22×C4 | C2×C22⋊D67 | 1 | 1 | yes | characteristic |
| 251 | SD16 | — | 268 | 4 | no | — |
| 252 | D8 | — | 268 | 4 | no | — |
| 253 | D8 | — | 268 | 1 | no | — |
| 254 | D8 | — | 268 | 1 | no | — |
| 255 | D8 | — | 134 | 2 | no | — |
| 256 | D8 | — | 134 | 2 | no | — |
| 257 | M16 | — | 2 | 1 | no | — |
| 258 | M16 | — | 2 | 2 | no | — |
| 259 | M16 | — | 2 | 2 | no | — |
| 260 | M16 | — | 2 | 2 | no | — |
| 261 | M16 | — | 2 | 2 | no | — |
| 262 | M16 | — | 4 | 4 | no | — |
| 263 | M16 | — | 4 | 1 | no | — |
| 264 | M16 | — | 4 | 1 | no | — |
| 265 | M16 | — | 268 | 1 | no | — |
| 266 | M16 | — | 134 | 2 | no | — |
| 267 | M16 | (C2×D67)⋊C4 | 1 | 2 | yes | — |
| 268 | C2×C8 | — | 2 | 1 | no | — |
| 269 | C2×C8 | — | 2 | 2 | no | — |
| 270 | C2×C8 | — | 2 | 2 | no | — |
| 271 | C2×C8 | — | 4 | 4 | no | — |
| 272 | C2×C8 | — | 4 | 1 | no | — |
| 273 | C2×C8 | — | 4 | 1 | no | — |
| 274 | C2×C8 | — | 268 | 1 | no | — |
| 275 | C2×C8 | C2×C4×D67 | 1 | 1 | yes | characteristic |
| 276 | C2×C8 | C2×C22⋊D67 | 1 | 1 | yes | characteristic |
| 277 | C2×C8 | C2×C22⋊D67 | 1 | 1 | yes | characteristic |
| 278 | C2×C8 | C2×D268 | 1 | 1 | yes | characteristic |
| 279 | C2×C8 | #11761628 | 1 | 1 | yes | characteristic |
| 280 | C2×C8 | #11761628 | 1 | 1 | yes | characteristic |
| 281 | C16 | — | 268 | 1 | no | — |
| 282 | C16 | — | 268 | 1 | no | — |
| 283 | C23 | — | 2 | 1 | no | — |
| 284 | C23 | — | 268 | 2 | no | — |
| 285 | C23 | — | 536 | 1 | no | — |
| 286 | C23 | — | 536 | 1 | no | — |
| 287 | C23 | — | 1072 | 2 | no | — |
| 288 | C23 | #14524074 | 1 | 1 | yes | characteristic |
| 289 | Q8 | — | 2 | 1 | no | — |
| 290 | Q8 | #14523963 | 1 | 2 | yes | — |
| 291 | D4 | — | 2 | 2 | no | — |
| 292 | D4 | — | 2 | 2 | no | — |
| 293 | D4 | — | 2 | 1 | no | — |
| 294 | D4 | — | 268 | 2 | no | — |
| 295 | D4 | — | 268 | 2 | no | — |
| 296 | D4 | — | 536 | 1 | no | — |
| 297 | D4 | — | 536 | 1 | no | — |
| 298 | D4 | #14523963 | 1 | 2 | yes | — |
| 299 | C2×C4 | — | 2 | 1 | no | — |
| 300 | C2×C4 | — | 2 | 2 | no | — |
| 301 | C2×C4 | — | 2 | 2 | no | — |
| 302 | C2×C4 | C2×(C2×D67)⋊C4 | 1 | 1 | yes | characteristic |
| 303 | C2×C4 | #14524012 | 1 | 1 | yes | characteristic |
| 304 | C2×C4 | #14524026 | 1 | 1 | yes | characteristic |
| 305 | C2×C4 | C2×#11761613 | 1 | 1 | yes | characteristic |
| 306 | C2×C4 | C2×#11761615 | 1 | 1 | yes | characteristic |
| 307 | C2×C4 | #14524069 | 1 | 1 | yes | characteristic |
| 308 | C8 | — | 2 | 2 | no | — |
| 309 | C8 | — | 4 | 2 | no | — |
| 310 | C8 | — | 4 | 2 | no | — |
| 311 | C8 | — | 268 | 2 | no | — |
| 312 | C8 | C4×C22⋊D67 | 1 | 1 | yes | characteristic |
| 313 | C8 | C4×C22⋊D67 | 1 | 1 | yes | characteristic |
| 314 | C8 | #14524017 | 1 | 1 | yes | characteristic |
| 315 | C8 | #14524017 | 1 | 1 | yes | characteristic |
| 316 | C22 | — | 2 | 2 | no | — |
| 317 | C22 | — | 4 | 1 | no | — |
| 318 | C22 | — | 8 | 1 | no | — |
| 319 | C22 | — | 536 | 2 | no | — |
| 320 | C22 | — | 1072 | 2 | no | — |
| 321 | C22 | — | 1072 | 2 | no | — |
| 322 | C22 | — | 1072 | 2 | no | — |
| 323 | C22 | #16863395 | 1 | 1 | yes | characteristic |
| 324 | C22 | #16863535 | 1 | 1 | yes | characteristic |
| 325 | C22 | #16863709 | 1 | 1 | yes | characteristic |
| 326 | C4 | — | 2 | 2 | no | — |
| 327 | C4 | #16863275 | 1 | 1 | yes | characteristic |
| 328 | C4 | C2×#14523963 | 1 | 1 | yes | characteristic |
| 329 | C4 | #16863530 | 1 | 1 | yes | characteristic |
| 330 | C4 | #16863714 | 1 | 1 | yes | characteristic |
| 331 | C2 | — | 2 | 1 | no | — |
| 332 | C2 | — | 2 | 1 | no | — |
| 333 | C2 | — | 2 | 1 | no | — |
| 334 | C2 | — | 4 | 2 | no | — |
| 335 | C2 | — | 1072 | 2 | no | — |
| 336 | C2 | #22560526 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta