| 1 | #22574131 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #22573992 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #22572387 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #22572312 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #22572267 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #22572192 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | C2×#16863764 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #22570176 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #22570032 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #22569894 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #22569523 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #22569007 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #22568926 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #22568741 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | C67×#3039 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#14524091 | C22 | 1 | 2 | yes | — |
| 17 | C2×#14524063 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#14524051 | C22 | 1 | 2 | yes | — |
| 19 | #16864096 | C22 | 1 | 4 | yes | — |
| 20 | #16864095 | — | 2 | 4 | no | — |
| 21 | #16864087 | C22 | 1 | 4 | yes | — |
| 22 | #16864061 | C22 | 1 | 4 | yes | — |
| 23 | #16864049 | C22 | 1 | 4 | yes | — |
| 24 | #16864047 | — | 2 | 4 | no | — |
| 25 | #16864008 | — | 2 | 1 | no | — |
| 26 | #16864001 | — | 2 | 1 | no | — |
| 27 | #16863974 | C22 | 1 | 2 | yes | — |
| 28 | #16863971 | — | 2 | 2 | no | — |
| 29 | #16863970 | C22 | 1 | 2 | yes | — |
| 30 | #16863947 | — | 2 | 1 | no | — |
| 31 | #16863946 | C22 | 1 | 1 | yes | characteristic |
| 32 | C4⋊Q8×D67 | — | 2 | 1 | no | — |
| 33 | #16863930 | — | 2 | 2 | no | — |
| 34 | C2×#14524035 | C22 | 1 | 1 | yes | characteristic |
| 35 | #16863876 | C22 | 1 | 2 | yes | — |
| 36 | C4×#11761628 | C22 | 1 | 1 | yes | characteristic |
| 37 | #16863764 | C22 | 1 | 4 | yes | — |
| 38 | #16863764 | C22 | 1 | 4 | yes | — |
| 39 | #16863736 | C22 | 1 | 4 | yes | — |
| 40 | #16863735 | C22 | 1 | 4 | yes | — |
| 41 | #16863730 | C22 | 1 | 4 | yes | — |
| 42 | #16863725 | C22 | 1 | 4 | yes | — |
| 43 | #16863704 | C22 | 1 | 4 | yes | — |
| 44 | #16863697 | C22 | 1 | 4 | yes | — |
| 45 | #16863651 | C22 | 1 | 4 | yes | — |
| 46 | #16863639 | C22 | 1 | 4 | yes | — |
| 47 | #16863634 | C22 | 1 | 4 | yes | — |
| 48 | #16863622 | C22 | 1 | 4 | yes | — |
| 49 | #16863557 | C22 | 1 | 4 | yes | — |
| 50 | #16863550 | C22 | 1 | 4 | yes | — |
| 51 | #16863540 | C22 | 1 | 4 | yes | — |
| 52 | #16863533 | C22 | 1 | 4 | yes | — |
| 53 | #16863506 | C22 | 1 | 2 | yes | — |
| 54 | #16863501 | C22 | 1 | 2 | yes | — |
| 55 | #16863496 | C22 | 1 | 2 | yes | — |
| 56 | #16863494 | C22 | 1 | 2 | yes | — |
| 57 | #16863466 | C22 | 1 | 4 | yes | — |
| 58 | #16863466 | C22 | 1 | 4 | yes | — |
| 59 | #16863438 | C22 | 1 | 2 | yes | — |
| 60 | #16863432 | C22 | 1 | 1 | yes | characteristic |
| 61 | #16863403 | C22 | 1 | 4 | yes | — |
| 62 | #16863398 | C22 | 1 | 2 | yes | — |
| 63 | #16863396 | C22 | 1 | 4 | yes | — |
| 64 | #16863392 | C22 | 1 | 1 | yes | characteristic |
| 65 | #16863391 | C22 | 1 | 4 | yes | — |
| 66 | #16863390 | C22 | 1 | 1 | yes | characteristic |
| 67 | C2×#14523967 | C22 | 1 | 2 | yes | — |
| 68 | C2×#14523967 | C22 | 1 | 2 | yes | — |
| 69 | #103×D67 | C22 | 1 | 4 | yes | — |
| 70 | #16863364 | C22 | 1 | 2 | yes | — |
| 71 | C2×#14523954 | C22 | 1 | 1 | yes | characteristic |
| 72 | C2×#137×C67 | C22 | 1 | 2 | yes | — |
| 73 | C2×C4⋊Q8×C67 | C22 | 1 | 1 | yes | characteristic |
| 74 | C4×#41×C67 | C22 | 1 | 1 | yes | characteristic |
| 75 | #462×C67 | C22 | 1 | 4 | yes | — |
| 76 | #461×C67 | C22 | 1 | 4 | yes | — |
| 77 | #423×C67 | C22 | 1 | 1 | yes | characteristic |
| 78 | #419×C67 | C22 | 1 | 2 | yes | — |
| 79 | #14524091 | — | 2 | 8 | no | — |
| 80 | #14524091 | — | 4 | 4 | no | — |
| 81 | C2×#11761629 | — | 2 | 2 | no | — |
| 82 | C2×#11761629 | C23 | 1 | 4 | yes | — |
| 83 | C2×#11761628 | — | 2 | 4 | no | — |
| 84 | C2×#11761628 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×#11761628 | C23 | 1 | 2 | yes | — |
| 86 | C2×Q8×D67 | — | 2 | 2 | no | — |
| 87 | C2×Q8×D67 | C23 | 1 | 4 | yes | — |
| 88 | #14524063 | — | 2 | 4 | no | — |
| 89 | C2×#11761618 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×#11761616 | C23 | 1 | 1 | yes | characteristic |
| 91 | C2×#11761615 | C23 | 1 | 1 | yes | characteristic |
| 92 | C2×#11761613 | C23 | 1 | 1 | yes | characteristic |
| 93 | #14524051 | — | 4 | 4 | no | — |
| 94 | C2×#11761611 | C23 | 1 | 4 | yes | — |
| 95 | C22×C67⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 96 | C22×C67⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 97 | C2×C8×D67 | C23 | 1 | 4 | yes | — |
| 98 | #14524043 | D4 | 1 | 1 | yes | characteristic |
| 99 | #14524042 | — | 2 | 4 | no | — |
| 100 | #14524041 | — | 2 | 2 | no | — |
| 101 | #14524040 | D4 | 1 | 1 | yes | characteristic |
| 102 | #14524037 | — | 2 | 4 | no | — |
| 103 | #14524036 | — | 2 | 4 | no | — |
| 104 | #14524035 | — | 2 | 1 | no | — |
| 105 | #14524035 | — | 2 | 1 | no | — |
| 106 | #14524035 | C23 | 1 | 4 | yes | — |
| 107 | #14524033 | — | 2 | 4 | no | — |
| 108 | #14524032 | — | 2 | 2 | no | — |
| 109 | #14524031 | D4 | 1 | 2 | yes | — |
| 110 | #14524028 | — | 2 | 4 | no | — |
| 111 | #14524028 | — | 2 | 4 | no | — |
| 112 | #14524028 | — | 2 | 4 | no | — |
| 113 | #14524026 | — | 2 | 4 | no | — |
| 114 | #14524026 | — | 2 | 4 | no | — |
| 115 | #14524022 | — | 2 | 2 | no | — |
| 116 | #14524021 | — | 2 | 4 | no | — |
| 117 | #14524021 | — | 2 | 4 | no | — |
| 118 | #14524019 | C23 | 1 | 4 | yes | — |
| 119 | #14524019 | C23 | 1 | 4 | yes | — |
| 120 | #14524019 | C23 | 1 | 4 | yes | — |
| 121 | #14524018 | — | 2 | 4 | no | — |
| 122 | #14524017 | — | 2 | 2 | no | — |
| 123 | #14524017 | D4 | 1 | 4 | yes | — |
| 124 | #14524016 | — | 2 | 4 | no | — |
| 125 | #14524015 | — | 2 | 4 | no | — |
| 126 | #14524014 | C23 | 1 | 4 | yes | — |
| 127 | C4×Dic134 | — | 2 | 2 | no | — |
| 128 | C4×Dic134 | C23 | 1 | 2 | yes | — |
| 129 | C4×D268 | — | 2 | 2 | no | — |
| 130 | C4×D268 | C23 | 1 | 2 | yes | — |
| 131 | C4×D268 | C23 | 1 | 4 | yes | — |
| 132 | #14524005 | — | 2 | 4 | no | — |
| 133 | C4×C22⋊D67 | — | 2 | 4 | no | — |
| 134 | C4×C22⋊D67 | — | 2 | 2 | no | — |
| 135 | (C22⋊D67)⋊C4 | — | 2 | 4 | no | — |
| 136 | #14524002 | C23 | 1 | 1 | yes | characteristic |
| 137 | #14524001 | C23 | 1 | 4 | yes | — |
| 138 | #14524000 | — | 2 | 4 | no | — |
| 139 | #14524000 | — | 2 | 1 | no | — |
| 140 | C2×C4⋊Dic67 | C23 | 1 | 2 | yes | — |
| 141 | C2×Dic67⋊C4 | — | 2 | 2 | no | — |
| 142 | C4⋊C4×D67 | — | 2 | 4 | no | — |
| 143 | C4⋊C4×D67 | C23 | 1 | 4 | yes | — |
| 144 | C42×D67 | — | 2 | 1 | no | — |
| 145 | #14523977 | C23 | 1 | 4 | yes | — |
| 146 | #14523976 | C23 | 1 | 2 | yes | — |
| 147 | #14523975 | C23 | 1 | 4 | yes | — |
| 148 | #14523974 | C23 | 1 | 2 | yes | — |
| 149 | #14523968 | C23 | 1 | 4 | yes | — |
| 150 | #14523967 | C23 | 1 | 2 | yes | — |
| 151 | #14523967 | C23 | 1 | 4 | yes | — |
| 152 | #14523967 | C23 | 1 | 4 | yes | — |
| 153 | #14523967 | C23 | 1 | 4 | yes | — |
| 154 | #14523967 | C23 | 1 | 4 | yes | — |
| 155 | #14523966 | C23 | 1 | 2 | yes | — |
| 156 | #14523965 | C23 | 1 | 4 | yes | — |
| 157 | #14523964 | C23 | 1 | 2 | yes | — |
| 158 | #14523963 | C23 | 1 | 2 | yes | — |
| 159 | (C2×D67)⋊C8 | C23 | 1 | 4 | yes | — |
| 160 | (C2×D67)⋊C8 | C23 | 1 | 4 | yes | — |
| 161 | #14523954 | C23 | 1 | 2 | yes | — |
| 162 | #14523954 | C23 | 1 | 2 | yes | — |
| 163 | C2×#41×C67 | C23 | 1 | 1 | yes | characteristic |
| 164 | C22×Q8×C67 | C23 | 1 | 2 | yes | — |
| 165 | #137×C67 | — | 4 | 4 | no | — |
| 166 | C2×Q16×C67 | C23 | 1 | 4 | yes | — |
| 167 | C2×SD16×C67 | C23 | 1 | 4 | yes | — |
| 168 | C2×M16×C67 | C23 | 1 | 2 | yes | — |
| 169 | C4⋊Q8×C67 | — | 2 | 1 | no | — |
| 170 | C4⋊Q8×C67 | — | 2 | 1 | no | — |
| 171 | C4⋊Q8×C67 | C23 | 1 | 4 | yes | — |
| 172 | C4×Q8×C67 | C23 | 1 | 2 | yes | — |
| 173 | C4×D4×C67 | — | 2 | 2 | no | — |
| 174 | C4×D4×C67 | C23 | 1 | 2 | yes | — |
| 175 | #117×C67 | — | 2 | 1 | no | — |
| 176 | #117×C67 | C23 | 1 | 1 | yes | characteristic |
| 177 | C2×C4⋊C4×C67 | — | 2 | 2 | no | — |
| 178 | C2×C42×C67 | — | 2 | 1 | no | — |
| 179 | C2×C42×C67 | C23 | 1 | 1 | yes | characteristic |
| 180 | C4⋊C8×C67 | C23 | 1 | 4 | yes | — |
| 181 | #103×C67 | C23 | 1 | 4 | yes | — |
| 182 | #103×C67 | C23 | 1 | 4 | yes | — |
| 183 | #11761629 | — | 2 | 8 | no | — |
| 184 | #11761629 | — | 4 | 4 | no | — |
| 185 | #11761629 | — | 4 | 8 | no | — |
| 186 | #11761628 | — | 2 | 4 | no | — |
| 187 | #11761628 | — | 2 | 4 | no | — |
| 188 | #11761628 | — | 2 | 2 | no | — |
| 189 | #11761628 | — | 4 | 16 | no | — |
| 190 | #11761628 | #41 | 1 | 4 | yes | — |
| 191 | C2×Dic134 | — | 2 | 4 | no | — |
| 192 | C2×Dic134 | C2×D4 | 1 | 2 | yes | — |
| 193 | C2×Dic134 | C24 | 1 | 1 | yes | characteristic |
| 194 | Q8×D67 | — | 2 | 8 | no | — |
| 195 | Q8×D67 | — | 4 | 4 | no | — |
| 196 | Q8×D67 | — | 4 | 8 | no | — |
| 197 | C2×D268 | — | 2 | 4 | no | — |
| 198 | C2×D268 | C2×D4 | 1 | 2 | yes | — |
| 199 | C2×D268 | C2×D4 | 1 | 4 | yes | — |
| 200 | C2×D268 | C24 | 1 | 1 | yes | characteristic |
| 201 | C2×C22⋊D67 | — | 2 | 1 | no | — |
| 202 | C2×C22⋊D67 | — | 2 | 4 | no | — |
| 203 | C2×C22⋊D67 | C2×D4 | 1 | 4 | yes | — |
| 204 | C22×Dic67 | — | 2 | 2 | no | — |
| 205 | C2×C4×D67 | — | 2 | 1 | no | — |
| 206 | C2×C4×D67 | — | 2 | 4 | no | — |
| 207 | C2×C4×D67 | — | 2 | 2 | no | — |
| 208 | C2×C4×D67 | — | 2 | 4 | no | — |
| 209 | C2×C4×D67 | — | 2 | 4 | no | — |
| 210 | C2×C4×D67 | C24 | 1 | 4 | yes | — |
| 211 | #11761618 | — | 2 | 2 | no | — |
| 212 | #11761616 | — | 2 | 2 | no | — |
| 213 | #11761615 | — | 2 | 2 | no | — |
| 214 | #11761613 | — | 2 | 2 | no | — |
| 215 | #11761611 | — | 4 | 4 | no | — |
| 216 | C2×C67⋊C8 | — | 2 | 2 | no | — |
| 217 | C2×C67⋊C8 | — | 2 | 2 | no | — |
| 218 | C2×C67⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 219 | C2×C67⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 220 | C2×C67⋊C8 | C24 | 1 | 2 | yes | — |
| 221 | C8×D67 | — | 4 | 4 | no | — |
| 222 | C4⋊Dic67 | — | 2 | 2 | no | — |
| 223 | C4⋊Dic67 | C2×D4 | 1 | 4 | yes | — |
| 224 | C4⋊Dic67 | C24 | 1 | 2 | yes | — |
| 225 | C4⋊Dic67 | C24 | 1 | 4 | yes | — |
| 226 | Dic67⋊C4 | — | 2 | 4 | no | — |
| 227 | Dic67⋊C4 | — | 2 | 4 | no | — |
| 228 | Dic67⋊C4 | — | 2 | 2 | no | — |
| 229 | Dic67⋊C4 | — | 2 | 4 | no | — |
| 230 | Dic67⋊C4 | — | 2 | 4 | no | — |
| 231 | Dic67⋊C4 | — | 2 | 4 | no | — |
| 232 | Dic67⋊C4 | — | 2 | 4 | no | — |
| 233 | C22⋊Dic67 | — | 2 | 1 | no | — |
| 234 | C22⋊Dic67 | — | 2 | 4 | no | — |
| 235 | (C2×D67)⋊C4 | — | 2 | 4 | no | — |
| 236 | (C2×D67)⋊C4 | — | 2 | 4 | no | — |
| 237 | (C2×D67)⋊C4 | — | 2 | 4 | no | — |
| 238 | (C2×D67)⋊C4 | — | 2 | 4 | no | — |
| 239 | (C2×D67)⋊C4 | — | 2 | 2 | no | — |
| 240 | (C2×D67)⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 241 | (C2×D67)⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 242 | C4×Dic67 | — | 2 | 1 | no | — |
| 243 | C4×Dic67 | — | 2 | 2 | no | — |
| 244 | C4×Dic67 | — | 2 | 4 | no | — |
| 245 | #41×C67 | — | 2 | 2 | no | — |
| 246 | #41×C67 | — | 2 | 2 | no | — |
| 247 | C2×Q8×C67 | — | 2 | 2 | no | — |
| 248 | C2×Q8×C67 | — | 2 | 4 | no | — |
| 249 | C2×Q8×C67 | — | 2 | 4 | no | — |
| 250 | C2×Q8×C67 | C24 | 1 | 4 | yes | — |
| 251 | C2×Q8×C67 | C24 | 1 | 1 | yes | characteristic |
| 252 | C2×D4×C67 | — | 2 | 1 | no | — |
| 253 | C2×D4×C67 | C24 | 1 | 1 | yes | characteristic |
| 254 | C22×C4×C67 | — | 2 | 2 | no | — |
| 255 | C22×C4×C67 | — | 2 | 1 | no | — |
| 256 | C22×C4×C67 | — | 2 | 2 | no | — |
| 257 | C22×C4×C67 | C2×D4 | 1 | 2 | yes | — |
| 258 | C22×C4×C67 | C24 | 1 | 1 | yes | characteristic |
| 259 | Q16×C67 | — | 4 | 4 | no | — |
| 260 | SD16×C67 | — | 4 | 4 | no | — |
| 261 | M16×C67 | — | 2 | 4 | no | — |
| 262 | C2×C8×C67 | C24 | 1 | 4 | yes | — |
| 263 | C4⋊C4×C67 | — | 2 | 4 | no | — |
| 264 | C4⋊C4×C67 | — | 2 | 4 | no | — |
| 265 | C4⋊C4×C67 | — | 2 | 2 | no | — |
| 266 | C4⋊C4×C67 | C24 | 1 | 2 | yes | — |
| 267 | C22⋊C4×C67 | — | 2 | 1 | no | — |
| 268 | C22⋊C4×C67 | — | 2 | 2 | no | — |
| 269 | C42×C67 | — | 2 | 1 | no | — |
| 270 | C42×C67 | — | 2 | 2 | no | — |
| 271 | C42×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 272 | C42×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 273 | C42×C67 | C24 | 1 | 2 | yes | — |
| 274 | C23×C67 | — | 2 | 1 | no | — |
| 275 | C23×C67 | C22×D4 | 1 | 1 | yes | characteristic |
| 276 | C22×D67 | — | 2 | 1 | no | — |
| 277 | C22×D67 | C22×D4 | 1 | 4 | yes | — |
| 278 | Q8×C67 | — | 2 | 4 | no | — |
| 279 | Q8×C67 | — | 2 | 1 | no | — |
| 280 | Q8×C67 | — | 2 | 4 | no | — |
| 281 | Q8×C67 | — | 2 | 1 | no | — |
| 282 | Q8×C67 | — | 4 | 4 | no | — |
| 283 | D4×C67 | — | 2 | 1 | no | — |
| 284 | D4×C67 | — | 2 | 1 | no | — |
| 285 | D4×C67 | — | 4 | 2 | no | — |
| 286 | C2×C4×C67 | — | 2 | 2 | no | — |
| 287 | C2×C4×C67 | — | 2 | 1 | no | — |
| 288 | C2×C4×C67 | — | 2 | 4 | no | — |
| 289 | C2×C4×C67 | — | 4 | 2 | no | — |
| 290 | C2×C4×C67 | — | 4 | 4 | no | — |
| 291 | C2×C4×C67 | — | 4 | 2 | no | — |
| 292 | C2×C4×C67 | — | 8 | 2 | no | — |
| 293 | C2×C4×C67 | C22×D4 | 1 | 2 | yes | — |
| 294 | C2×C4×C67 | C22×D4 | 1 | 2 | yes | — |
| 295 | C2×C4×C67 | C22×D4 | 1 | 1 | yes | characteristic |
| 296 | C2×C4×C67 | C2×#41 | 1 | 2 | yes | — |
| 297 | C2×C4×C67 | H(5,𝔽2) | 1 | 2 | yes | — |
| 298 | C2×C4×C67 | C25 | 1 | 1 | yes | characteristic |
| 299 | C22⋊D67 | — | 2 | 4 | no | — |
| 300 | C22⋊D67 | — | 2 | 8 | no | — |
| 301 | C22⋊D67 | — | 8 | 4 | no | — |
| 302 | C2×Dic67 | — | 2 | 1 | no | — |
| 303 | C2×Dic67 | — | 2 | 2 | no | — |
| 304 | C2×Dic67 | — | 2 | 4 | no | — |
| 305 | C2×Dic67 | — | 8 | 2 | no | — |
| 306 | C2×Dic67 | C22×D4 | 1 | 4 | yes | — |
| 307 | D268 | — | 2 | 4 | no | — |
| 308 | D268 | — | 2 | 1 | no | — |
| 309 | D268 | — | 4 | 4 | no | — |
| 310 | D268 | — | 4 | 8 | no | — |
| 311 | D268 | C2×#41 | 1 | 2 | yes | — |
| 312 | C4×D67 | — | 2 | 4 | no | — |
| 313 | C4×D67 | — | 2 | 4 | no | — |
| 314 | C4×D67 | — | 2 | 4 | no | — |
| 315 | C4×D67 | — | 4 | 8 | no | — |
| 316 | C4×D67 | — | 4 | 8 | no | — |
| 317 | C4×D67 | — | 4 | 4 | no | — |
| 318 | C4×D67 | — | 8 | 4 | no | — |
| 319 | Dic134 | — | 2 | 4 | no | — |
| 320 | Dic134 | — | 2 | 1 | no | — |
| 321 | Dic134 | — | 4 | 8 | no | — |
| 322 | Dic134 | C2×#41 | 1 | 2 | yes | — |
| 323 | C8×C67 | — | 2 | 4 | no | — |
| 324 | C67⋊C8 | — | 2 | 1 | no | — |
| 325 | C67⋊C8 | — | 2 | 1 | no | — |
| 326 | C67⋊C8 | — | 2 | 2 | no | — |
| 327 | C22×C67 | — | 2 | 2 | no | — |
| 328 | C22×C67 | — | 4 | 2 | no | — |
| 329 | C22×C67 | — | 4 | 1 | no | — |
| 330 | C22×C67 | #546 | 1 | 2 | yes | — |
| 331 | C22×C67 | C23×D4 | 1 | 1 | yes | characteristic |
| 332 | C2×D67 | — | 2 | 4 | no | — |
| 333 | C2×D67 | — | 2 | 4 | no | — |
| 334 | C2×D67 | — | 2 | 2 | no | — |
| 335 | C2×D67 | — | 2 | 4 | no | — |
| 336 | C2×D67 | — | 4 | 2 | no | — |
| 337 | C4×C67 | — | 2 | 2 | no | — |
| 338 | C4×C67 | — | 2 | 2 | no | — |
| 339 | C4×C67 | — | 4 | 2 | no | — |
| 340 | C4×C67 | — | 4 | 4 | no | — |
| 341 | C4×C67 | — | 4 | 1 | no | — |
| 342 | C4×C67 | #546 | 1 | 2 | yes | — |
| 343 | C4×C67 | C22×#41 | 1 | 1 | yes | characteristic |
| 344 | C4×C67 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 345 | Dic67 | — | 2 | 4 | no | — |
| 346 | Dic67 | — | 2 | 2 | no | — |
| 347 | Dic67 | — | 4 | 2 | no | — |
| 348 | Dic67 | — | 4 | 4 | no | — |
| 349 | #61224 | — | 67 | 1 | no | maximal, Sylow |
| 350 | C2×C67 | — | 2 | 2 | no | — |
| 351 | C2×C67 | — | 8 | 1 | no | — |
| 352 | C2×C67 | C2×#546 | 1 | 1 | yes | characteristic |
| 353 | C2×C67 | #3586 | 1 | 2 | yes | — |
| 354 | D67 | — | 4 | 4 | no | — |
| 355 | D67 | — | 4 | 2 | no | — |
| 356 | #3512 | — | 67 | 1 | no | — |
| 357 | #3499 | — | 67 | 1 | no | — |
| 358 | #3320 | — | 67 | 4 | no | — |
| 359 | #3315 | — | 67 | 4 | no | — |
| 360 | #3312 | — | 67 | 4 | no | — |
| 361 | #3307 | — | 67 | 4 | no | — |
| 362 | C2×#491 | — | 67 | 1 | no | — |
| 363 | #3097 | — | 67 | 2 | no | — |
| 364 | #3080 | — | 67 | 1 | no | — |
| 365 | #3063 | — | 67 | 2 | no | — |
| 366 | #3039 | D67 | 1 | 1 | yes | characteristic, complemented |
| 367 | #3013 | — | 67 | 2 | no | — |
| 368 | #2943 | — | 67 | 1 | no | — |
| 369 | #2932 | — | 67 | 1 | no | — |
| 370 | #2898 | — | 67 | 2 | no | — |
| 371 | C67 | #61224 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 372 | C2×2−1+4 | — | 67 | 2 | no | — |
| 373 | C2×#137 | C2×D67 | 1 | 2 | yes | — |
| 374 | C2×#135 | — | 67 | 1 | no | — |
| 375 | C2×#131 | — | 67 | 2 | no | — |
| 376 | #553 | — | 67 | 4 | no | — |
| 377 | #553 | — | 134 | 4 | no | — |
| 378 | #552 | — | 67 | 4 | no | — |
| 379 | D4×Q8 | — | 67 | 4 | no | — |
| 380 | #547 | — | 67 | 4 | no | — |
| 381 | #547 | — | 134 | 4 | no | — |
| 382 | #541 | — | 134 | 1 | no | — |
| 383 | #540 | — | 134 | 1 | no | — |
| 384 | #537 | — | 67 | 2 | no | — |
| 385 | #536 | — | 67 | 2 | no | — |
| 386 | #536 | — | 134 | 2 | no | — |
| 387 | #532 | — | 67 | 1 | no | — |
| 388 | #532 | — | 134 | 1 | no | — |
| 389 | C2×C4⋊Q8 | — | 134 | 1 | no | — |
| 390 | C2×C4⋊Q8 | C2×D67 | 1 | 1 | yes | characteristic |
| 391 | #529 | — | 134 | 2 | no | — |
| 392 | C2×#125 | — | 67 | 1 | no | — |
| 393 | #520 | — | 67 | 2 | no | — |
| 394 | C4×#41 | — | 67 | 1 | no | — |
| 395 | C4×#41 | C2×D67 | 1 | 1 | yes | characteristic |
| 396 | #491 | — | 67 | 4 | no | — |
| 397 | #491 | — | 67 | 4 | no | — |
| 398 | #485 | — | 67 | 4 | no | — |
| 399 | #485 | — | 67 | 4 | no | — |
| 400 | #484 | — | 67 | 4 | no | — |
| 401 | #483 | — | 67 | 4 | no | — |
| 402 | #479 | — | 67 | 4 | no | — |
| 403 | #478 | — | 67 | 4 | no | — |
| 404 | #470 | — | 67 | 4 | no | — |
| 405 | #468 | — | 67 | 4 | no | — |
| 406 | #467 | — | 67 | 4 | no | — |
| 407 | #465 | — | 67 | 4 | no | — |
| 408 | #462 | C2×D67 | 1 | 4 | yes | — |
| 409 | #461 | C2×D67 | 1 | 4 | yes | — |
| 410 | #452 | — | 67 | 4 | no | — |
| 411 | #451 | — | 67 | 4 | no | — |
| 412 | #449 | — | 67 | 4 | no | — |
| 413 | #448 | — | 67 | 4 | no | — |
| 414 | #442 | — | 67 | 2 | no | — |
| 415 | #441 | — | 67 | 2 | no | — |
| 416 | #440 | — | 67 | 2 | no | — |
| 417 | #440 | — | 67 | 2 | no | — |
| 418 | #435 | — | 67 | 4 | no | — |
| 419 | #435 | — | 67 | 4 | no | — |
| 420 | #428 | — | 67 | 2 | no | — |
| 421 | #427 | — | 67 | 1 | no | — |
| 422 | #423 | C2×D67 | 1 | 1 | yes | characteristic |
| 423 | #419 | — | 67 | 4 | no | — |
| 424 | #419 | C2×D67 | 1 | 2 | yes | — |
| 425 | #417 | — | 67 | 2 | no | — |
| 426 | #417 | — | 67 | 4 | no | — |
| 427 | #416 | — | 67 | 1 | no | — |
| 428 | #416 | — | 67 | 1 | no | — |
| 429 | #416 | — | 67 | 4 | no | — |
| 430 | C2×#103 | — | 67 | 2 | no | — |
| 431 | C2×#103 | — | 67 | 2 | no | — |
| 432 | C2×#103 | — | 67 | 4 | no | — |
| 433 | #408 | — | 67 | 2 | no | — |
| 434 | C2×#97 | — | 67 | 1 | no | — |
| 435 | 2−1+4 | — | 268 | 4 | no | — |
| 436 | 2−1+4 | — | 134 | 8 | no | — |
| 437 | C2×#41 | — | 67 | 2 | no | — |
| 438 | C2×#41 | — | 67 | 4 | no | — |
| 439 | C2×#41 | — | 67 | 1 | no | — |
| 440 | C2×#41 | — | 134 | 4 | no | — |
| 441 | C2×#41 | — | 134 | 2 | no | — |
| 442 | C2×#41 | C22×D67 | 1 | 1 | yes | characteristic |
| 443 | C22×Q8 | — | 67 | 4 | no | — |
| 444 | C22×Q8 | — | 134 | 2 | no | — |
| 445 | C22×Q8 | C22×D67 | 1 | 2 | yes | — |
| 446 | #137 | — | 4 | 4 | no | — |
| 447 | #135 | — | 134 | 4 | no | — |
| 448 | C2×Q16 | — | 67 | 1 | no | — |
| 449 | C2×Q16 | C22×D67 | 1 | 4 | yes | — |
| 450 | C2×SD16 | — | 67 | 1 | no | — |
| 451 | C2×SD16 | — | 67 | 1 | no | — |
| 452 | C2×SD16 | C22×D67 | 1 | 4 | yes | — |
| 453 | C2×D8 | — | 67 | 1 | no | — |
| 454 | #131 | — | 268 | 4 | no | — |
| 455 | C2×M16 | — | 67 | 4 | no | — |
| 456 | C2×M16 | C22×D67 | 1 | 2 | yes | — |
| 457 | C22×C8 | — | 67 | 4 | no | — |
| 458 | C22×C8 | — | 67 | 1 | no | — |
| 459 | C22×C8 | — | 67 | 1 | no | — |
| 460 | C4⋊Q8 | — | 2 | 1 | no | — |
| 461 | C4⋊Q8 | — | 2 | 1 | no | — |
| 462 | C4⋊Q8 | — | 67 | 1 | no | — |
| 463 | C4⋊Q8 | — | 134 | 4 | no | — |
| 464 | C4⋊Q8 | — | 134 | 2 | no | — |
| 465 | C4⋊Q8 | C22×D67 | 1 | 4 | yes | — |
| 466 | #127 | — | 67 | 1 | no | — |
| 467 | #126 | — | 134 | 4 | no | — |
| 468 | #126 | — | 134 | 4 | no | — |
| 469 | #125 | — | 67 | 4 | no | — |
| 470 | #125 | — | 134 | 4 | no | — |
| 471 | #125 | — | 134 | 1 | no | — |
| 472 | #125 | — | 134 | 1 | no | — |
| 473 | #124 | — | 67 | 2 | no | — |
| 474 | #124 | — | 134 | 2 | no | — |
| 475 | #123 | — | 134 | 4 | no | — |
| 476 | #123 | — | 134 | 4 | no | — |
| 477 | #123 | — | 134 | 4 | no | — |
| 478 | #123 | — | 134 | 4 | no | — |
| 479 | #123 | — | 134 | 4 | no | — |
| 480 | C22⋊Q8 | — | 67 | 4 | no | — |
| 481 | C22⋊Q8 | — | 67 | 4 | no | — |
| 482 | C22⋊Q8 | — | 67 | 4 | no | — |
| 483 | C22⋊Q8 | — | 134 | 4 | no | — |
| 484 | C22⋊Q8 | — | 134 | 4 | no | — |
| 485 | C22⋊Q8 | — | 134 | 2 | no | — |
| 486 | #121 | — | 67 | 4 | no | — |
| 487 | #121 | — | 67 | 4 | no | — |
| 488 | #121 | — | 134 | 4 | no | — |
| 489 | #121 | — | 134 | 4 | no | — |
| 490 | #121 | — | 134 | 2 | no | — |
| 491 | #121 | — | 134 | 4 | no | — |
| 492 | C4×Q8 | — | 67 | 2 | no | — |
| 493 | C4×Q8 | — | 134 | 2 | no | — |
| 494 | C4×Q8 | C22×D67 | 1 | 2 | yes | — |
| 495 | C4×D4 | — | 2 | 2 | no | — |
| 496 | C4×D4 | — | 67 | 4 | no | — |
| 497 | C4×D4 | — | 67 | 2 | no | — |
| 498 | C4×D4 | — | 134 | 2 | no | — |
| 499 | C4×D4 | — | 134 | 4 | no | — |
| 500 | C4×D4 | — | 134 | 4 | no | — |
| 501 | C4×D4 | — | 134 | 4 | no | — |
| 502 | C4×D4 | — | 134 | 2 | no | — |
| 503 | C4×D4 | C22×D67 | 1 | 2 | yes | — |
| 504 | #117 | — | 2 | 1 | no | — |
| 505 | #117 | — | 67 | 1 | no | — |
| 506 | #117 | — | 67 | 4 | no | — |
| 507 | #117 | — | 134 | 4 | no | — |
| 508 | #117 | — | 134 | 1 | no | — |
| 509 | #117 | C22×D67 | 1 | 1 | yes | characteristic |
| 510 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 511 | C2×C4⋊C4 | — | 67 | 2 | no | — |
| 512 | C2×C4⋊C4 | — | 67 | 4 | no | — |
| 513 | C2×C4⋊C4 | — | 134 | 4 | no | — |
| 514 | C2×C4⋊C4 | — | 134 | 2 | no | — |
| 515 | C2×C42 | — | 2 | 1 | no | — |
| 516 | C2×C42 | — | 134 | 1 | no | — |
| 517 | C2×C42 | C22×D67 | 1 | 1 | yes | characteristic |
| 518 | #107 | — | 67 | 4 | no | — |
| 519 | #107 | — | 67 | 2 | no | — |
| 520 | #106 | — | 67 | 4 | no | — |
| 521 | #106 | — | 67 | 2 | no | — |
| 522 | C4⋊C8 | C22×D67 | 1 | 4 | yes | — |
| 523 | #103 | — | 67 | 4 | no | — |
| 524 | #103 | — | 67 | 4 | no | — |
| 525 | #103 | — | 67 | 4 | no | — |
| 526 | #103 | — | 67 | 4 | no | — |
| 527 | #103 | — | 67 | 2 | no | — |
| 528 | #103 | — | 67 | 4 | no | — |
| 529 | #103 | — | 67 | 2 | no | — |
| 530 | #103 | C22×D67 | 1 | 4 | yes | — |
| 531 | #103 | C22×D67 | 1 | 4 | yes | — |
| 532 | #102 | — | 67 | 2 | no | — |
| 533 | #102 | — | 67 | 4 | no | — |
| 534 | #102 | — | 67 | 2 | no | — |
| 535 | C22⋊C8 | — | 67 | 4 | no | — |
| 536 | C22⋊C8 | — | 67 | 4 | no | — |
| 537 | #97 | — | 67 | 2 | no | — |
| 538 | #97 | — | 67 | 2 | no | — |
| 539 | #41 | — | 2 | 2 | no | — |
| 540 | #41 | — | 2 | 2 | no | — |
| 541 | #41 | — | 268 | 16 | no | — |
| 542 | #41 | — | 268 | 4 | no | — |
| 543 | #41 | — | 268 | 8 | no | — |
| 544 | #41 | — | 67 | 4 | no | — |
| 545 | #41 | — | 134 | 8 | no | — |
| 546 | #41 | — | 134 | 4 | no | — |
| 547 | #41 | — | 134 | 4 | no | — |
| 548 | #41 | — | 134 | 2 | no | — |
| 549 | C2×Q8 | — | 2 | 2 | no | — |
| 550 | C2×Q8 | — | 2 | 4 | no | — |
| 551 | C2×Q8 | — | 2 | 4 | no | — |
| 552 | C2×Q8 | — | 268 | 4 | no | — |
| 553 | C2×Q8 | — | 268 | 8 | no | — |
| 554 | C2×Q8 | — | 67 | 2 | no | — |
| 555 | C2×Q8 | — | 67 | 1 | no | — |
| 556 | C2×Q8 | — | 134 | 4 | no | — |
| 557 | C2×Q8 | — | 134 | 8 | no | — |
| 558 | C2×Q8 | C23×D67 | 1 | 4 | yes | — |
| 559 | C2×Q8 | C23×D67 | 1 | 1 | yes | characteristic |
| 560 | C2×D4 | — | 2 | 1 | no | — |
| 561 | C2×D4 | — | 67 | 4 | no | — |
| 562 | C2×D4 | — | 67 | 4 | no | — |
| 563 | C2×D4 | — | 67 | 2 | no | — |
| 564 | C2×D4 | — | 67 | 1 | no | — |
| 565 | C2×D4 | — | 134 | 4 | no | — |
| 566 | C2×D4 | — | 134 | 4 | no | — |
| 567 | C2×D4 | — | 134 | 1 | no | — |
| 568 | C2×D4 | C23×D67 | 1 | 1 | yes | characteristic |
| 569 | C22×C4 | — | 2 | 2 | no | — |
| 570 | C22×C4 | — | 2 | 1 | no | — |
| 571 | C22×C4 | — | 2 | 2 | no | — |
| 572 | C22×C4 | — | 67 | 4 | no | — |
| 573 | C22×C4 | — | 134 | 4 | no | — |
| 574 | C22×C4 | — | 134 | 4 | no | — |
| 575 | C22×C4 | — | 134 | 4 | no | — |
| 576 | C22×C4 | — | 134 | 2 | no | — |
| 577 | C22×C4 | — | 134 | 2 | no | — |
| 578 | C22×C4 | — | 134 | 1 | no | — |
| 579 | C22×C4 | D4×D67 | 1 | 2 | yes | — |
| 580 | C22×C4 | C23×D67 | 1 | 1 | yes | characteristic |
| 581 | Q16 | — | 4 | 4 | no | — |
| 582 | Q16 | — | 134 | 2 | no | — |
| 583 | SD16 | — | 4 | 4 | no | — |
| 584 | SD16 | — | 134 | 2 | no | — |
| 585 | SD16 | — | 134 | 2 | no | — |
| 586 | D8 | — | 134 | 2 | no | — |
| 587 | M16 | — | 2 | 4 | no | — |
| 588 | M16 | — | 268 | 4 | no | — |
| 589 | C2×C8 | — | 268 | 4 | no | — |
| 590 | C2×C8 | — | 67 | 1 | no | — |
| 591 | C2×C8 | — | 67 | 1 | no | — |
| 592 | C2×C8 | — | 67 | 2 | no | — |
| 593 | C2×C8 | — | 134 | 2 | no | — |
| 594 | C2×C8 | — | 134 | 2 | no | — |
| 595 | C2×C8 | C23×D67 | 1 | 4 | yes | — |
| 596 | C4⋊C4 | — | 2 | 4 | no | — |
| 597 | C4⋊C4 | — | 2 | 4 | no | — |
| 598 | C4⋊C4 | — | 2 | 2 | no | — |
| 599 | C4⋊C4 | — | 67 | 4 | no | — |
| 600 | C4⋊C4 | — | 67 | 4 | no | — |
| 601 | C4⋊C4 | — | 67 | 2 | no | — |
| 602 | C4⋊C4 | — | 134 | 4 | no | — |
| 603 | C4⋊C4 | — | 134 | 4 | no | — |
| 604 | C4⋊C4 | — | 134 | 4 | no | — |
| 605 | C4⋊C4 | — | 134 | 4 | no | — |
| 606 | C4⋊C4 | — | 134 | 2 | no | — |
| 607 | C4⋊C4 | — | 134 | 4 | no | — |
| 608 | C4⋊C4 | — | 134 | 4 | no | — |
| 609 | C4⋊C4 | — | 134 | 2 | no | — |
| 610 | C4⋊C4 | C23×D67 | 1 | 2 | yes | — |
| 611 | C22⋊C4 | — | 2 | 1 | no | — |
| 612 | C22⋊C4 | — | 2 | 2 | no | — |
| 613 | C22⋊C4 | — | 67 | 4 | no | — |
| 614 | C22⋊C4 | — | 67 | 4 | no | — |
| 615 | C22⋊C4 | — | 134 | 4 | no | — |
| 616 | C22⋊C4 | — | 134 | 4 | no | — |
| 617 | C22⋊C4 | — | 134 | 4 | no | — |
| 618 | C22⋊C4 | — | 134 | 4 | no | — |
| 619 | C22⋊C4 | — | 134 | 4 | no | — |
| 620 | C22⋊C4 | — | 134 | 1 | no | — |
| 621 | C22⋊C4 | — | 134 | 2 | no | — |
| 622 | C42 | — | 2 | 1 | no | — |
| 623 | C42 | — | 2 | 2 | no | — |
| 624 | C42 | — | 134 | 4 | no | — |
| 625 | C42 | — | 134 | 1 | no | — |
| 626 | C42 | — | 134 | 2 | no | — |
| 627 | C42 | D4×D67 | 1 | 1 | yes | characteristic |
| 628 | C42 | D4×D67 | 1 | 1 | yes | characteristic |
| 629 | C42 | C23×D67 | 1 | 2 | yes | — |
| 630 | C23 | — | 2 | 1 | no | — |
| 631 | C23 | — | 67 | 4 | no | — |
| 632 | C23 | — | 134 | 1 | no | — |
| 633 | C23 | C2×D4×D67 | 1 | 1 | yes | characteristic |
| 634 | Q8 | — | 2 | 1 | no | — |
| 635 | Q8 | — | 2 | 4 | no | — |
| 636 | Q8 | — | 2 | 4 | no | — |
| 637 | Q8 | — | 2 | 1 | no | — |
| 638 | Q8 | — | 4 | 4 | no | — |
| 639 | Q8 | — | 268 | 8 | no | — |
| 640 | Q8 | — | 67 | 2 | no | — |
| 641 | Q8 | — | 134 | 4 | no | — |
| 642 | Q8 | — | 134 | 1 | no | — |
| 643 | D4 | — | 2 | 1 | no | — |
| 644 | D4 | — | 2 | 1 | no | — |
| 645 | D4 | — | 4 | 2 | no | — |
| 646 | D4 | — | 268 | 4 | no | — |
| 647 | D4 | — | 268 | 8 | no | — |
| 648 | D4 | — | 536 | 4 | no | — |
| 649 | D4 | — | 67 | 2 | no | — |
| 650 | D4 | — | 134 | 8 | no | — |
| 651 | D4 | — | 134 | 4 | no | — |
| 652 | D4 | — | 134 | 4 | no | — |
| 653 | D4 | — | 134 | 1 | no | — |
| 654 | C2×C4 | — | 2 | 2 | no | — |
| 655 | C2×C4 | — | 2 | 1 | no | — |
| 656 | C2×C4 | — | 2 | 4 | no | — |
| 657 | C2×C4 | — | 4 | 2 | no | — |
| 658 | C2×C4 | — | 4 | 4 | no | — |
| 659 | C2×C4 | — | 4 | 2 | no | — |
| 660 | C2×C4 | — | 8 | 2 | no | — |
| 661 | C2×C4 | — | 268 | 4 | no | — |
| 662 | C2×C4 | — | 268 | 8 | no | — |
| 663 | C2×C4 | — | 268 | 8 | no | — |
| 664 | C2×C4 | — | 536 | 4 | no | — |
| 665 | C2×C4 | — | 536 | 2 | no | — |
| 666 | C2×C4 | — | 67 | 4 | no | — |
| 667 | C2×C4 | — | 134 | 2 | no | — |
| 668 | C2×C4 | — | 134 | 4 | no | — |
| 669 | C2×C4 | — | 134 | 1 | no | — |
| 670 | C2×C4 | — | 134 | 4 | no | — |
| 671 | C2×C4 | — | 134 | 4 | no | — |
| 672 | C2×C4 | — | 134 | 4 | no | — |
| 673 | C2×C4 | C2×D4×D67 | 1 | 2 | yes | — |
| 674 | C2×C4 | C2×D4×D67 | 1 | 2 | yes | — |
| 675 | C2×C4 | C2×D4×D67 | 1 | 1 | yes | characteristic |
| 676 | C2×C4 | #41×D67 | 1 | 2 | yes | — |
| 677 | C2×C4 | #14524088 | 1 | 2 | yes | — |
| 678 | C2×C4 | C24×D67 | 1 | 1 | yes | characteristic |
| 679 | C8 | — | 2 | 4 | no | — |
| 680 | C8 | — | 134 | 1 | no | — |
| 681 | C8 | — | 134 | 1 | no | — |
| 682 | C8 | — | 134 | 2 | no | — |
| 683 | C22 | — | 2 | 2 | no | — |
| 684 | C22 | — | 4 | 1 | no | — |
| 685 | C22 | — | 4 | 2 | no | — |
| 686 | C22 | — | 268 | 2 | no | — |
| 687 | C22 | — | 134 | 2 | no | — |
| 688 | C22 | — | 134 | 4 | no | — |
| 689 | C22 | — | 134 | 4 | no | — |
| 690 | C22 | — | 134 | 4 | no | — |
| 691 | C22 | #16864043 | 1 | 2 | yes | — |
| 692 | C22 | C22×D4×D67 | 1 | 1 | yes | characteristic |
| 693 | C4 | — | 2 | 2 | no | — |
| 694 | C4 | — | 2 | 2 | no | — |
| 695 | C4 | — | 4 | 4 | no | — |
| 696 | C4 | — | 4 | 1 | no | — |
| 697 | C4 | — | 4 | 2 | no | — |
| 698 | C4 | — | 268 | 2 | no | — |
| 699 | C4 | — | 268 | 4 | no | — |
| 700 | C4 | — | 134 | 2 | no | — |
| 701 | C4 | — | 134 | 4 | no | — |
| 702 | C4 | #16864043 | 1 | 2 | yes | — |
| 703 | C4 | C2×#41×D67 | 1 | 1 | yes | characteristic |
| 704 | C4 | C2×#14524088 | 1 | 1 | yes | characteristic |
| 705 | C2 | — | 2 | 2 | no | — |
| 706 | C2 | — | 8 | 1 | no | — |
| 707 | C2 | — | 268 | 2 | no | — |
| 708 | C2 | — | 268 | 4 | no | — |
| 709 | C2 | C2×#16864043 | 1 | 1 | yes | characteristic |
| 710 | C2 | #22574992 | 1 | 2 | yes | — |
Finite Group Databasebeta