| 1 | #22598976 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #22597187 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #22590547 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #22590529 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #22590487 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #22590478 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #22590392 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #22590267 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #22590250 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #22590213 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #22590205 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #22590189 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | D16×Dic71 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #22590146 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C71×#2210 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×D8×D71 | C22 | 1 | 1 | yes | characteristic |
| 17 | #17986618 | — | 2 | 1 | no | — |
| 18 | #17986471 | — | 2 | 1 | no | — |
| 19 | C2×#14556071 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#14556069 | C22 | 1 | 1 | yes | characteristic |
| 21 | #17986404 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #17986358 | — | 2 | 1 | no | — |
| 23 | #17986242 | — | 2 | 1 | no | — |
| 24 | #17986237 | C22 | 1 | 1 | yes | characteristic |
| 25 | #17986232 | C22 | 1 | 1 | yes | characteristic |
| 26 | #17986109 | — | 2 | 1 | no | — |
| 27 | #17986108 | — | 2 | 1 | no | — |
| 28 | #17986100 | — | 2 | 1 | no | — |
| 29 | Q16×Dic71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C4×D568 | C22 | 1 | 1 | yes | characteristic |
| 31 | D8×Dic71 | C22 | 1 | 1 | yes | characteristic |
| 32 | D8×Dic71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #17986081 | C22 | 1 | 1 | yes | characteristic |
| 34 | #17986036 | C22 | 1 | 1 | yes | characteristic |
| 35 | #17986002 | — | 2 | 1 | no | — |
| 36 | #17985953 | C22 | 1 | 1 | yes | characteristic |
| 37 | #17985826 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | #17985826 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #17985825 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #17985825 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | C4⋊(C71⋊C16) | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #17985803 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #17985801 | C22 | 1 | 1 | yes | characteristic |
| 44 | #17985801 | C22 | 1 | 1 | yes | characteristic |
| 45 | #17985800 | C22 | 1 | 1 | yes | characteristic |
| 46 | #17985800 | C22 | 1 | 1 | yes | characteristic |
| 47 | #17985800 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | (C2×D71)⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 49 | (C2×D71)⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 50 | #17985774 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | C16×Dic71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | C2×SD32×C71 | C22 | 1 | 1 | yes | characteristic |
| 53 | C2×D16×C71 | C22 | 1 | 1 | yes | characteristic |
| 54 | #495×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | C4×D8×C71 | C22 | 1 | 1 | yes | characteristic |
| 56 | C4⋊C16×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #358×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #357×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | C2×D4×D71 | — | 2 | 1 | no | — |
| 60 | C2×D568 | C23 | 1 | 1 | yes | characteristic |
| 61 | C2×#11765850 | — | 2 | 1 | no | — |
| 62 | D8×D71 | — | 2 | 2 | no | — |
| 63 | D8×D71 | — | 2 | 2 | no | — |
| 64 | C2×#11765848 | D4 | 1 | 1 | yes | characteristic |
| 65 | C2×C8×D71 | C23 | 1 | 1 | yes | characteristic |
| 66 | #14556128 | — | 2 | 1 | no | — |
| 67 | #14556121 | — | 4 | 1 | no | — |
| 68 | #14556114 | — | 4 | 1 | no | — |
| 69 | #14556112 | — | 4 | 1 | no | — |
| 70 | #14556105 | — | 4 | 1 | no | — |
| 71 | #14556104 | — | 2 | 1 | no | — |
| 72 | #14556099 | — | 2 | 1 | no | — |
| 73 | Q8×Dic71 | — | 2 | 1 | no | — |
| 74 | C4×D284 | — | 2 | 1 | no | — |
| 75 | D4×Dic71 | — | 2 | 1 | no | — |
| 76 | D4×Dic71 | — | 2 | 1 | no | — |
| 77 | #14556090 | — | 2 | 1 | no | — |
| 78 | C4×C22⋊D71 | — | 4 | 1 | no | — |
| 79 | (C22⋊D71)⋊C4 | — | 4 | 1 | no | — |
| 80 | #14556086 | — | 2 | 1 | no | — |
| 81 | #14556085 | D4 | 1 | 1 | yes | characteristic |
| 82 | C2×(C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 83 | C22⋊C4×D71 | — | 4 | 1 | no | — |
| 84 | #14556071 | — | 2 | 2 | no | — |
| 85 | #14556069 | — | 2 | 2 | no | — |
| 86 | C2×C71⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×C71⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 88 | #14556062 | — | 2 | 1 | no | — |
| 89 | #14556062 | C23 | 1 | 1 | yes | characteristic |
| 90 | #14556062 | C23 | 1 | 1 | yes | characteristic |
| 91 | #14556062 | C23 | 1 | 1 | yes | characteristic |
| 92 | #14556059 | — | 2 | 1 | no | — |
| 93 | #14556052 | — | 2 | 1 | no | — |
| 94 | #14556052 | — | 2 | 1 | no | — |
| 95 | #14556050 | — | 2 | 1 | no | — |
| 96 | #14556049 | — | 2 | 1 | no | — |
| 97 | #14556049 | — | 2 | 1 | no | — |
| 98 | #14556049 | — | 2 | 1 | no | — |
| 99 | #14556048 | — | 2 | 1 | no | — |
| 100 | #14556039 | D4 | 1 | 1 | yes | characteristic |
| 101 | #14556038 | D4 | 1 | 1 | yes | characteristic |
| 102 | C8×Dic71 | C23 | 1 | 1 | yes | characteristic |
| 103 | C2×Q16×C71 | C23 | 1 | 1 | yes | characteristic |
| 104 | C2×SD16×C71 | — | 2 | 1 | no | — |
| 105 | C2×D8×C71 | C23 | 1 | 1 | yes | characteristic |
| 106 | C2×D8×C71 | C23 | 1 | 1 | yes | characteristic |
| 107 | #124×C71 | — | 2 | 1 | no | — |
| 108 | C4×D4×C71 | — | 2 | 1 | no | — |
| 109 | SD32×C71 | — | 2 | 2 | no | — |
| 110 | D16×C71 | — | 2 | 2 | no | — |
| 111 | C2×C16×C71 | C23 | 1 | 1 | yes | characteristic |
| 112 | C2×C16×C71 | C23 | 1 | 1 | yes | characteristic |
| 113 | #107×C71 | C23 | 1 | 1 | yes | characteristic |
| 114 | #102×C71 | — | 2 | 1 | no | — |
| 115 | C4×C8×C71 | C23 | 1 | 1 | yes | characteristic |
| 116 | C23×D71 | — | 4 | 1 | no | — |
| 117 | C2×Dic142 | — | 4 | 1 | no | — |
| 118 | C2×D284 | — | 2 | 1 | no | — |
| 119 | C2×C22⋊D71 | — | 4 | 1 | no | — |
| 120 | C2×C22⋊D71 | — | 4 | 1 | no | — |
| 121 | D4×D71 | — | 2 | 4 | no | — |
| 122 | D4×D71 | — | 4 | 2 | no | — |
| 123 | C22×Dic71 | — | 4 | 1 | no | — |
| 124 | C22×Dic71 | — | 4 | 1 | no | — |
| 125 | C2×C4×D71 | — | 4 | 1 | no | — |
| 126 | C2×C4×D71 | — | 4 | 1 | no | — |
| 127 | C2×C4×D71 | C2×D4 | 1 | 1 | yes | characteristic |
| 128 | D568 | — | 2 | 1 | no | — |
| 129 | D568 | #41 | 1 | 2 | yes | — |
| 130 | #11765850 | — | 2 | 4 | no | — |
| 131 | #11765848 | — | 4 | 1 | no | — |
| 132 | C2×C71⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 133 | C2×C71⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 134 | C8×D71 | — | 2 | 1 | no | — |
| 135 | C8×D71 | — | 2 | 1 | no | — |
| 136 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 137 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 138 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 139 | C4⋊Dic71 | — | 4 | 1 | no | — |
| 140 | C4⋊Dic71 | — | 4 | 1 | no | — |
| 141 | Dic71⋊C4 | — | 4 | 1 | no | — |
| 142 | Dic71⋊C4 | D8 | 1 | 1 | yes | characteristic |
| 143 | Dic71⋊C4 | D8 | 1 | 1 | yes | characteristic |
| 144 | C22⋊Dic71 | — | 4 | 1 | no | — |
| 145 | C22⋊Dic71 | — | 4 | 1 | no | — |
| 146 | C22⋊Dic71 | — | 4 | 1 | no | — |
| 147 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 148 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 149 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 150 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 151 | (C2×D71)⋊C4 | D8 | 1 | 1 | yes | characteristic |
| 152 | (C2×D71)⋊C4 | D8 | 1 | 1 | yes | characteristic |
| 153 | C4×Dic71 | — | 4 | 1 | no | — |
| 154 | C4×Dic71 | — | 4 | 1 | no | — |
| 155 | C4×Dic71 | C2×D4 | 1 | 1 | yes | characteristic |
| 156 | C71⋊C16 | — | 2 | 1 | no | — |
| 157 | C71⋊C16 | — | 2 | 1 | no | — |
| 158 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 159 | C2×D4×C71 | — | 2 | 1 | no | — |
| 160 | C2×D4×C71 | — | 2 | 1 | no | — |
| 161 | C22×C4×C71 | — | 4 | 1 | no | — |
| 162 | Q16×C71 | — | 2 | 1 | no | — |
| 163 | Q16×C71 | — | 2 | 1 | no | — |
| 164 | SD16×C71 | — | 4 | 2 | no | — |
| 165 | D8×C71 | — | 2 | 1 | no | — |
| 166 | D8×C71 | — | 2 | 1 | no | — |
| 167 | D8×C71 | — | 2 | 1 | no | — |
| 168 | D8×C71 | #41 | 1 | 2 | yes | — |
| 169 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 170 | C2×C8×C71 | C24 | 1 | 1 | yes | characteristic |
| 171 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 172 | C22⋊C4×C71 | — | 4 | 1 | no | — |
| 173 | C22⋊C4×C71 | — | 4 | 1 | no | — |
| 174 | C22⋊C4×C71 | — | 4 | 1 | no | — |
| 175 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 176 | C16×C71 | — | 2 | 1 | no | — |
| 177 | C16×C71 | — | 2 | 1 | no | — |
| 178 | C23×C71 | — | 4 | 1 | no | — |
| 179 | C23×C71 | — | 4 | 1 | no | — |
| 180 | C22×D71 | — | 4 | 4 | no | — |
| 181 | C22×D71 | — | 4 | 1 | no | — |
| 182 | C22×D71 | — | 16 | 1 | no | — |
| 183 | C22×D71 | — | 16 | 1 | no | — |
| 184 | C22×D71 | C2×D8 | 1 | 1 | yes | characteristic |
| 185 | Q8×C71 | — | 4 | 1 | no | — |
| 186 | Q8×C71 | — | 4 | 1 | no | — |
| 187 | D4×C71 | — | 2 | 2 | no | — |
| 188 | D4×C71 | — | 4 | 1 | no | — |
| 189 | D4×C71 | — | 4 | 1 | no | — |
| 190 | D4×C71 | — | 4 | 1 | no | — |
| 191 | C2×C4×C71 | — | 4 | 1 | no | — |
| 192 | C2×C4×C71 | — | 4 | 1 | no | — |
| 193 | C2×C4×C71 | — | 16 | 1 | no | — |
| 194 | C2×C4×C71 | C2×D8 | 1 | 1 | yes | characteristic |
| 195 | C2×C4×C71 | C2×D8 | 1 | 1 | yes | characteristic |
| 196 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 197 | C22⋊D71 | — | 4 | 4 | no | — |
| 198 | C22⋊D71 | — | 16 | 1 | no | — |
| 199 | C2×Dic71 | — | 4 | 1 | no | — |
| 200 | C2×Dic71 | — | 4 | 1 | no | — |
| 201 | C2×Dic71 | — | 4 | 1 | no | — |
| 202 | C2×Dic71 | — | 16 | 1 | no | — |
| 203 | C2×Dic71 | — | 16 | 1 | no | — |
| 204 | C2×Dic71 | C2×D8 | 1 | 1 | yes | characteristic |
| 205 | C2×Dic71 | C2×D8 | 1 | 1 | yes | characteristic |
| 206 | C2×Dic71 | C2×D8 | 1 | 1 | yes | characteristic |
| 207 | D284 | — | 2 | 2 | no | — |
| 208 | D284 | — | 4 | 1 | no | — |
| 209 | C4×D71 | — | 2 | 1 | no | — |
| 210 | C4×D71 | — | 2 | 1 | no | — |
| 211 | C4×D71 | — | 16 | 1 | no | — |
| 212 | C4×D71 | — | 16 | 1 | no | — |
| 213 | Dic142 | — | 16 | 1 | no | — |
| 214 | C8×C71 | — | 2 | 1 | no | — |
| 215 | C8×C71 | C2×#41 | 1 | 1 | yes | characteristic |
| 216 | C8×C71 | C2×#41 | 1 | 1 | yes | characteristic |
| 217 | C71⋊C8 | — | 2 | 1 | no | — |
| 218 | C71⋊C8 | — | 2 | 1 | no | — |
| 219 | C22×C71 | — | 4 | 2 | no | — |
| 220 | C22×C71 | — | 8 | 1 | no | — |
| 221 | C22×C71 | — | 8 | 1 | no | — |
| 222 | C22×C71 | — | 8 | 1 | no | — |
| 223 | C22×C71 | — | 8 | 1 | no | — |
| 224 | C22×C71 | — | 8 | 1 | no | — |
| 225 | C22×C71 | C22×D8 | 1 | 1 | yes | characteristic |
| 226 | C2×D71 | — | 2 | 1 | no | — |
| 227 | C2×D71 | — | 2 | 1 | no | — |
| 228 | C2×D71 | — | 2 | 1 | no | — |
| 229 | C2×D71 | — | 4 | 2 | no | — |
| 230 | C2×D71 | — | 8 | 1 | no | — |
| 231 | C2×D71 | — | 8 | 1 | no | — |
| 232 | C2×D71 | — | 16 | 4 | no | — |
| 233 | C4×C71 | — | 2 | 1 | no | — |
| 234 | C4×C71 | — | 2 | 1 | no | — |
| 235 | C4×C71 | — | 8 | 1 | no | — |
| 236 | C4×C71 | — | 8 | 1 | no | — |
| 237 | C4×C71 | #525 | 1 | 1 | yes | characteristic |
| 238 | C4×C71 | #575 | 1 | 1 | yes | characteristic |
| 239 | Dic71 | — | 2 | 1 | no | — |
| 240 | Dic71 | — | 2 | 1 | no | — |
| 241 | Dic71 | — | 2 | 1 | no | — |
| 242 | Dic71 | — | 8 | 1 | no | — |
| 243 | Dic71 | — | 8 | 1 | no | — |
| 244 | Dic71 | — | 8 | 1 | no | — |
| 245 | #33678 | — | 71 | 1 | no | maximal, Sylow |
| 246 | C2×C71 | — | 8 | 2 | no | — |
| 247 | C2×C71 | — | 16 | 1 | no | — |
| 248 | C2×C71 | #3100 | 1 | 1 | yes | characteristic |
| 249 | C2×C71 | #3415 | 1 | 1 | yes | characteristic |
| 250 | C2×C71 | #3416 | 1 | 1 | yes | characteristic |
| 251 | D71 | — | 4 | 1 | no | — |
| 252 | D71 | — | 8 | 2 | no | — |
| 253 | #3175 | — | 71 | 1 | no | — |
| 254 | #2948 | — | 71 | 1 | no | — |
| 255 | #2237 | — | 71 | 1 | no | — |
| 256 | #2234 | — | 71 | 1 | no | — |
| 257 | #2226 | — | 71 | 1 | no | — |
| 258 | #2224 | — | 71 | 1 | no | — |
| 259 | #2210 | — | 71 | 1 | no | — |
| 260 | #2210 | D71 | 1 | 1 | yes | characteristic, complemented |
| 261 | #2187 | — | 71 | 1 | no | — |
| 262 | #2184 | — | 71 | 1 | no | — |
| 263 | #2177 | — | 71 | 1 | no | — |
| 264 | #2175 | — | 71 | 1 | no | — |
| 265 | C4×SD32 | — | 71 | 1 | no | — |
| 266 | C4×D16 | — | 71 | 1 | no | — |
| 267 | #2164 | — | 71 | 1 | no | — |
| 268 | C71 | #33678 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 269 | C22×D8 | — | 71 | 1 | no | — |
| 270 | #542 | — | 142 | 1 | no | — |
| 271 | #518 | — | 142 | 1 | no | — |
| 272 | C2×SD32 | — | 71 | 1 | no | — |
| 273 | C2×SD32 | C2×D71 | 1 | 1 | yes | characteristic |
| 274 | C2×D16 | — | 71 | 1 | no | — |
| 275 | C2×D16 | C2×D71 | 1 | 1 | yes | characteristic |
| 276 | #500 | — | 71 | 1 | no | — |
| 277 | #495 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 278 | #489 | — | 142 | 1 | no | — |
| 279 | #468 | — | 142 | 1 | no | — |
| 280 | #467 | — | 71 | 1 | no | — |
| 281 | #466 | — | 71 | 1 | no | — |
| 282 | #442 | — | 142 | 1 | no | — |
| 283 | #442 | — | 142 | 1 | no | — |
| 284 | #440 | — | 142 | 1 | no | — |
| 285 | C4×Q16 | — | 71 | 1 | no | — |
| 286 | C4×D8 | — | 71 | 1 | no | — |
| 287 | C4×D8 | — | 71 | 1 | no | — |
| 288 | C4×D8 | — | 71 | 1 | no | — |
| 289 | C4×D8 | — | 71 | 1 | no | — |
| 290 | C4×D8 | C2×D71 | 1 | 1 | yes | characteristic |
| 291 | #427 | — | 71 | 1 | no | — |
| 292 | #418 | — | 142 | 1 | no | — |
| 293 | #405 | — | 71 | 1 | no | — |
| 294 | #367 | — | 71 | 1 | no | — |
| 295 | #367 | — | 71 | 1 | no | — |
| 296 | #366 | — | 71 | 1 | no | — |
| 297 | #366 | — | 71 | 1 | no | — |
| 298 | C4⋊C16 | — | 71 | 1 | no | — |
| 299 | C4⋊C16 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 300 | #358 | — | 71 | 1 | no | — |
| 301 | #358 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 302 | #357 | — | 71 | 1 | no | — |
| 303 | #357 | — | 71 | 1 | no | — |
| 304 | #357 | — | 71 | 1 | no | — |
| 305 | #357 | — | 71 | 1 | no | — |
| 306 | #357 | — | 71 | 1 | no | — |
| 307 | #357 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 308 | C22⋊C16 | — | 71 | 1 | no | — |
| 309 | C22⋊C16 | — | 71 | 1 | no | — |
| 310 | #346 | — | 71 | 1 | no | — |
| 311 | C4×C16 | — | 71 | 1 | no | — |
| 312 | C22×D4 | — | 142 | 1 | no | — |
| 313 | C2×Q16 | C22×D71 | 1 | 1 | yes | characteristic |
| 314 | C2×SD16 | — | 2 | 1 | no | — |
| 315 | C2×D8 | — | 71 | 1 | no | — |
| 316 | C2×D8 | — | 142 | 1 | no | — |
| 317 | C2×D8 | — | 142 | 2 | no | — |
| 318 | C2×D8 | — | 142 | 2 | no | — |
| 319 | C2×D8 | C22×D71 | 1 | 1 | yes | characteristic |
| 320 | C2×D8 | C22×D71 | 1 | 1 | yes | characteristic |
| 321 | C2×M16 | — | 71 | 1 | no | — |
| 322 | C22×C8 | — | 71 | 1 | no | — |
| 323 | C4⋊Q8 | — | 142 | 1 | no | — |
| 324 | #126 | — | 284 | 1 | no | — |
| 325 | #124 | — | 2 | 1 | no | — |
| 326 | #124 | — | 284 | 1 | no | — |
| 327 | #123 | — | 284 | 1 | no | — |
| 328 | C22⋊Q8 | — | 284 | 1 | no | — |
| 329 | C22⋊Q8 | — | 142 | 1 | no | — |
| 330 | #121 | — | 142 | 1 | no | — |
| 331 | C4×Q8 | — | 142 | 1 | no | — |
| 332 | C4×D4 | — | 2 | 1 | no | — |
| 333 | C4×D4 | — | 284 | 1 | no | — |
| 334 | C4×D4 | — | 284 | 1 | no | — |
| 335 | C4×D4 | — | 142 | 1 | no | — |
| 336 | C4×D4 | — | 142 | 1 | no | — |
| 337 | C4×D4 | — | 142 | 1 | no | — |
| 338 | C4×D4 | — | 142 | 1 | no | — |
| 339 | #117 | — | 71 | 1 | no | — |
| 340 | #117 | — | 142 | 1 | no | — |
| 341 | C2×C22⋊C4 | — | 284 | 1 | no | — |
| 342 | C2×C22⋊C4 | — | 284 | 1 | no | — |
| 343 | SD32 | — | 2 | 2 | no | — |
| 344 | SD32 | — | 142 | 2 | no | — |
| 345 | D16 | — | 2 | 2 | no | — |
| 346 | D16 | — | 142 | 2 | no | — |
| 347 | C2×C16 | — | 71 | 1 | no | — |
| 348 | C2×C16 | — | 71 | 1 | no | — |
| 349 | C2×C16 | C22×D71 | 1 | 1 | yes | characteristic |
| 350 | C2×C16 | C22×D71 | 1 | 1 | yes | characteristic |
| 351 | #107 | — | 71 | 1 | no | — |
| 352 | #107 | — | 71 | 1 | no | — |
| 353 | #107 | — | 71 | 1 | no | — |
| 354 | #107 | — | 142 | 1 | no | — |
| 355 | #107 | C22×D71 | 1 | 1 | yes | characteristic |
| 356 | #106 | — | 142 | 1 | no | — |
| 357 | #103 | — | 142 | 1 | no | — |
| 358 | #103 | — | 142 | 1 | no | — |
| 359 | #102 | — | 2 | 1 | no | — |
| 360 | #102 | — | 142 | 1 | no | — |
| 361 | #102 | — | 142 | 1 | no | — |
| 362 | #102 | — | 142 | 1 | no | — |
| 363 | #102 | — | 142 | 1 | no | — |
| 364 | #102 | — | 142 | 1 | no | — |
| 365 | #97 | — | 71 | 1 | no | — |
| 366 | #97 | — | 71 | 1 | no | — |
| 367 | C4×C8 | — | 71 | 1 | no | — |
| 368 | C4×C8 | C22×D71 | 1 | 1 | yes | characteristic |
| 369 | C24 | — | 284 | 1 | no | — |
| 370 | C2×Q8 | — | 2 | 1 | no | — |
| 371 | C2×Q8 | — | 284 | 1 | no | — |
| 372 | C2×D4 | — | 2 | 1 | no | — |
| 373 | C2×D4 | — | 2 | 1 | no | — |
| 374 | C2×D4 | — | 284 | 1 | no | — |
| 375 | C2×D4 | — | 284 | 1 | no | — |
| 376 | C2×D4 | — | 284 | 2 | no | — |
| 377 | C2×D4 | — | 142 | 4 | no | — |
| 378 | C2×D4 | — | 142 | 1 | no | — |
| 379 | C22×C4 | — | 4 | 1 | no | — |
| 380 | C22×C4 | — | 284 | 1 | no | — |
| 381 | C22×C4 | — | 284 | 1 | no | — |
| 382 | C22×C4 | — | 284 | 1 | no | — |
| 383 | C22×C4 | — | 284 | 1 | no | — |
| 384 | C22×C4 | — | 71 | 1 | no | — |
| 385 | Q16 | — | 2 | 1 | no | — |
| 386 | Q16 | — | 2 | 1 | no | — |
| 387 | SD16 | — | 4 | 2 | no | — |
| 388 | D8 | — | 2 | 1 | no | — |
| 389 | D8 | — | 2 | 1 | no | — |
| 390 | D8 | — | 2 | 1 | no | — |
| 391 | D8 | — | 71 | 2 | no | — |
| 392 | D8 | — | 142 | 4 | no | — |
| 393 | D8 | — | 142 | 1 | no | — |
| 394 | D8 | #11765864 | 1 | 2 | yes | — |
| 395 | M16 | — | 284 | 1 | no | — |
| 396 | C2×C8 | — | 71 | 1 | no | — |
| 397 | C2×C8 | — | 71 | 1 | no | — |
| 398 | C2×C8 | — | 142 | 1 | no | — |
| 399 | C2×C8 | — | 142 | 1 | no | — |
| 400 | C2×C8 | D4×D71 | 1 | 1 | yes | characteristic |
| 401 | C2×C8 | C23×D71 | 1 | 1 | yes | characteristic |
| 402 | C4⋊C4 | — | 2 | 1 | no | — |
| 403 | C4⋊C4 | — | 284 | 1 | no | — |
| 404 | C4⋊C4 | — | 284 | 1 | no | — |
| 405 | C4⋊C4 | — | 284 | 1 | no | — |
| 406 | C4⋊C4 | — | 71 | 1 | no | — |
| 407 | C4⋊C4 | — | 71 | 1 | no | — |
| 408 | C4⋊C4 | — | 142 | 1 | no | — |
| 409 | C4⋊C4 | — | 142 | 1 | no | — |
| 410 | C4⋊C4 | — | 142 | 1 | no | — |
| 411 | C22⋊C4 | — | 4 | 1 | no | — |
| 412 | C22⋊C4 | — | 4 | 1 | no | — |
| 413 | C22⋊C4 | — | 4 | 1 | no | — |
| 414 | C22⋊C4 | — | 284 | 1 | no | — |
| 415 | C22⋊C4 | — | 284 | 1 | no | — |
| 416 | C22⋊C4 | — | 284 | 1 | no | — |
| 417 | C22⋊C4 | — | 284 | 1 | no | — |
| 418 | C22⋊C4 | — | 284 | 1 | no | — |
| 419 | C22⋊C4 | — | 284 | 1 | no | — |
| 420 | C22⋊C4 | — | 284 | 1 | no | — |
| 421 | C22⋊C4 | — | 71 | 1 | no | — |
| 422 | C22⋊C4 | — | 71 | 1 | no | — |
| 423 | C42 | — | 284 | 1 | no | — |
| 424 | C42 | — | 284 | 1 | no | — |
| 425 | C42 | — | 71 | 1 | no | — |
| 426 | C42 | D4×D71 | 1 | 1 | yes | characteristic |
| 427 | C16 | — | 2 | 1 | no | — |
| 428 | C16 | — | 2 | 1 | no | — |
| 429 | C16 | — | 142 | 1 | no | — |
| 430 | C16 | — | 142 | 1 | no | — |
| 431 | C23 | — | 4 | 1 | no | — |
| 432 | C23 | — | 4 | 1 | no | — |
| 433 | C23 | — | 284 | 4 | no | — |
| 434 | C23 | — | 284 | 1 | no | — |
| 435 | C23 | — | 71 | 1 | no | — |
| 436 | C23 | — | 1136 | 1 | no | — |
| 437 | C23 | — | 1136 | 1 | no | — |
| 438 | Q8 | — | 4 | 1 | no | — |
| 439 | Q8 | — | 4 | 1 | no | — |
| 440 | Q8 | — | 1136 | 1 | no | — |
| 441 | D4 | — | 2 | 2 | no | — |
| 442 | D4 | — | 4 | 1 | no | — |
| 443 | D4 | — | 4 | 1 | no | — |
| 444 | D4 | — | 4 | 1 | no | — |
| 445 | D4 | — | 284 | 4 | no | — |
| 446 | D4 | — | 284 | 1 | no | — |
| 447 | D4 | — | 1136 | 1 | no | — |
| 448 | D4 | — | 142 | 2 | no | — |
| 449 | C2×C4 | — | 4 | 1 | no | — |
| 450 | C2×C4 | — | 4 | 1 | no | — |
| 451 | C2×C4 | — | 16 | 1 | no | — |
| 452 | C2×C4 | — | 284 | 1 | no | — |
| 453 | C2×C4 | — | 284 | 1 | no | — |
| 454 | C2×C4 | — | 284 | 1 | no | — |
| 455 | C2×C4 | — | 71 | 1 | no | — |
| 456 | C2×C4 | — | 71 | 1 | no | — |
| 457 | C2×C4 | — | 71 | 1 | no | — |
| 458 | C2×C4 | — | 1136 | 1 | no | — |
| 459 | C2×C4 | — | 1136 | 1 | no | — |
| 460 | C2×C4 | — | 1136 | 1 | no | — |
| 461 | C2×C4 | — | 1136 | 1 | no | — |
| 462 | C2×C4 | — | 142 | 1 | no | — |
| 463 | C2×C4 | — | 142 | 1 | no | — |
| 464 | C2×C4 | D8×D71 | 1 | 1 | yes | characteristic |
| 465 | C2×C4 | D8×D71 | 1 | 1 | yes | characteristic |
| 466 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 467 | C8 | — | 2 | 1 | no | — |
| 468 | C8 | — | 142 | 1 | no | — |
| 469 | C8 | — | 142 | 1 | no | — |
| 470 | C8 | #41×D71 | 1 | 1 | yes | characteristic |
| 471 | C8 | C2×#11765864 | 1 | 1 | yes | characteristic |
| 472 | C22 | — | 4 | 2 | no | — |
| 473 | C22 | — | 8 | 1 | no | — |
| 474 | C22 | — | 8 | 1 | no | — |
| 475 | C22 | — | 8 | 1 | no | — |
| 476 | C22 | — | 8 | 1 | no | — |
| 477 | C22 | — | 8 | 1 | no | — |
| 478 | C22 | — | 284 | 2 | no | — |
| 479 | C22 | — | 568 | 1 | no | — |
| 480 | C22 | — | 568 | 1 | no | — |
| 481 | C22 | — | 1136 | 4 | no | — |
| 482 | C22 | — | 142 | 1 | no | — |
| 483 | C22 | — | 142 | 1 | no | — |
| 484 | C22 | — | 142 | 1 | no | — |
| 485 | C22 | C2×D8×D71 | 1 | 1 | yes | characteristic |
| 486 | C4 | — | 2 | 1 | no | — |
| 487 | C4 | — | 2 | 1 | no | — |
| 488 | C4 | — | 8 | 1 | no | — |
| 489 | C4 | — | 8 | 1 | no | — |
| 490 | C4 | — | 568 | 1 | no | — |
| 491 | C4 | — | 568 | 1 | no | — |
| 492 | C4 | — | 568 | 1 | no | — |
| 493 | C4 | — | 142 | 1 | no | — |
| 494 | C4 | — | 142 | 1 | no | — |
| 495 | C4 | — | 142 | 1 | no | — |
| 496 | C4 | #17986509 | 1 | 1 | yes | characteristic |
| 497 | C4 | #17986795 | 1 | 1 | yes | characteristic |
| 498 | C2 | — | 8 | 2 | no | — |
| 499 | C2 | — | 16 | 1 | no | — |
| 500 | C2 | — | 284 | 1 | no | — |
| 501 | C2 | — | 568 | 2 | no | — |
| 502 | C2 | #22598339 | 1 | 1 | yes | characteristic |
| 503 | C2 | #22601478 | 1 | 1 | yes | characteristic |
| 504 | C2 | #22601486 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta