| 1 | C2×#577×C71 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C71×#3067 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C71×#3057 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C71×#3020 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C71×#3019 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C71×#2955 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C71×#2049 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C71×#2048 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | C71×#2009 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C71×#2008 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C71×#1977 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C71×#1976 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | C71×#1814 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C71×#1796 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C71×#1795 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×2−1+4×C71 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×H(5,𝔽2)×C71 | C22 | 1 | 1 | yes | characteristic |
| 18 | #577×C71 | — | 2 | 2 | no | — |
| 19 | #577×C71 | — | 2 | 2 | no | — |
| 20 | #577×C71 | — | 2 | 2 | no | — |
| 21 | #577×C71 | — | 2 | 2 | no | — |
| 22 | #575×C71 | C22 | 1 | 1 | yes | characteristic |
| 23 | #575×C71 | C22 | 1 | 1 | yes | characteristic |
| 24 | #575×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C2×#137×C71 | — | 2 | 1 | no | — |
| 26 | C2×#137×C71 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×AGL(1,ℤ/8)×C71 | — | 2 | 1 | no | — |
| 28 | C2×AGL(1,ℤ/8)×C71 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×#135×C71 | — | 2 | 1 | no | — |
| 30 | C2×#135×C71 | C22 | 1 | 1 | yes | characteristic |
| 31 | C22×SD16×C71 | — | 2 | 1 | no | — |
| 32 | C22×SD16×C71 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#131×C71 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×#131×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #536×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | #535×C71 | C22 | 1 | 1 | yes | characteristic |
| 37 | #473×C71 | — | 2 | 1 | no | — |
| 38 | #472×C71 | — | 2 | 1 | no | — |
| 39 | #471×C71 | — | 2 | 1 | no | — |
| 40 | #471×C71 | — | 2 | 1 | no | — |
| 41 | #468×C71 | — | 2 | 2 | no | — |
| 42 | #465×C71 | — | 2 | 2 | no | — |
| 43 | #456×C71 | — | 2 | 2 | no | — |
| 44 | #455×C71 | — | 2 | 2 | no | — |
| 45 | #454×C71 | — | 2 | 2 | no | — |
| 46 | #453×C71 | — | 2 | 2 | no | — |
| 47 | #444×C71 | — | 2 | 2 | no | — |
| 48 | #443×C71 | — | 2 | 2 | no | — |
| 49 | #430×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | C2×#108×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #427×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #421×C71 | C22 | 1 | 1 | yes | characteristic |
| 53 | #421×C71 | C22 | 1 | 1 | yes | characteristic |
| 54 | #421×C71 | C22 | 1 | 1 | yes | characteristic |
| 55 | #421×C71 | C22 | 1 | 1 | yes | characteristic |
| 56 | #421×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #421×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #419×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #419×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #418×C71 | C22 | 1 | 1 | yes | characteristic |
| 61 | #418×C71 | C22 | 1 | 1 | yes | characteristic |
| 62 | #413×C71 | C22 | 1 | 1 | yes | characteristic |
| 63 | #413×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | C2×#101×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | C2×#100×C71 | C22 | 1 | 1 | yes | characteristic |
| 66 | #410×C71 | C22 | 1 | 1 | yes | characteristic |
| 67 | #410×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | #405×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | #344×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 70 | #344×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | 2−1+4×C71 | — | 2 | 2 | no | — |
| 72 | 2−1+4×C71 | — | 2 | 2 | no | — |
| 73 | 2−1+4×C71 | — | 2 | 2 | no | — |
| 74 | 2−1+4×C71 | — | 4 | 1 | no | — |
| 75 | H(5,𝔽2)×C71 | — | 2 | 2 | no | — |
| 76 | H(5,𝔽2)×C71 | — | 2 | 2 | no | — |
| 77 | H(5,𝔽2)×C71 | — | 2 | 2 | no | — |
| 78 | H(5,𝔽2)×C71 | — | 4 | 1 | no | — |
| 79 | C2×#41×C71 | — | 2 | 1 | no | — |
| 80 | C2×#41×C71 | — | 2 | 1 | no | — |
| 81 | C2×#41×C71 | — | 2 | 1 | no | — |
| 82 | C2×#41×C71 | — | 2 | 1 | no | — |
| 83 | C2×#41×C71 | — | 4 | 1 | no | — |
| 84 | C2×#41×C71 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×#41×C71 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×#41×C71 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×#41×C71 | C23 | 1 | 1 | yes | characteristic |
| 88 | C22×Q8×C71 | — | 2 | 1 | no | — |
| 89 | C22×Q8×C71 | — | 2 | 1 | no | — |
| 90 | C22×Q8×C71 | C23 | 1 | 1 | yes | characteristic |
| 91 | C22×D4×C71 | — | 2 | 1 | no | — |
| 92 | C22×D4×C71 | — | 2 | 1 | no | — |
| 93 | C22×D4×C71 | — | 4 | 1 | no | — |
| 94 | C22×D4×C71 | C23 | 1 | 1 | yes | characteristic |
| 95 | #137×C71 | — | 2 | 4 | no | — |
| 96 | #137×C71 | — | 2 | 4 | no | — |
| 97 | #137×C71 | — | 2 | 2 | no | — |
| 98 | #137×C71 | — | 2 | 1 | no | — |
| 99 | #137×C71 | — | 2 | 1 | no | — |
| 100 | #137×C71 | — | 2 | 1 | no | — |
| 101 | #137×C71 | — | 2 | 1 | no | — |
| 102 | #137×C71 | — | 2 | 1 | no | — |
| 103 | #137×C71 | — | 2 | 2 | no | — |
| 104 | #137×C71 | D4 | 1 | 2 | yes | — |
| 105 | AGL(1,ℤ/8)×C71 | — | 2 | 4 | no | — |
| 106 | AGL(1,ℤ/8)×C71 | — | 2 | 4 | no | — |
| 107 | AGL(1,ℤ/8)×C71 | — | 2 | 2 | no | — |
| 108 | AGL(1,ℤ/8)×C71 | — | 2 | 1 | no | — |
| 109 | AGL(1,ℤ/8)×C71 | — | 2 | 1 | no | — |
| 110 | AGL(1,ℤ/8)×C71 | — | 2 | 1 | no | — |
| 111 | AGL(1,ℤ/8)×C71 | — | 2 | 1 | no | — |
| 112 | AGL(1,ℤ/8)×C71 | — | 2 | 1 | no | — |
| 113 | AGL(1,ℤ/8)×C71 | — | 2 | 2 | no | — |
| 114 | AGL(1,ℤ/8)×C71 | D4 | 1 | 2 | yes | — |
| 115 | #135×C71 | — | 2 | 4 | no | — |
| 116 | #135×C71 | — | 2 | 4 | no | — |
| 117 | #135×C71 | — | 2 | 2 | no | — |
| 118 | #135×C71 | — | 2 | 1 | no | — |
| 119 | #135×C71 | — | 2 | 1 | no | — |
| 120 | #135×C71 | — | 2 | 1 | no | — |
| 121 | #135×C71 | — | 2 | 1 | no | — |
| 122 | #135×C71 | — | 4 | 1 | no | — |
| 123 | #135×C71 | — | 4 | 1 | no | — |
| 124 | C2×Q16×C71 | — | 2 | 1 | no | — |
| 125 | C2×Q16×C71 | D4 | 1 | 1 | yes | characteristic, complemented |
| 126 | C2×SD16×C71 | — | 2 | 4 | no | — |
| 127 | C2×SD16×C71 | — | 2 | 4 | no | — |
| 128 | C2×SD16×C71 | — | 2 | 1 | no | — |
| 129 | C2×SD16×C71 | — | 2 | 1 | no | — |
| 130 | C2×SD16×C71 | — | 2 | 1 | no | — |
| 131 | C2×SD16×C71 | — | 2 | 1 | no | — |
| 132 | C2×SD16×C71 | — | 2 | 1 | no | — |
| 133 | C2×SD16×C71 | — | 2 | 1 | no | — |
| 134 | C2×SD16×C71 | D4 | 1 | 2 | yes | — |
| 135 | C2×SD16×C71 | D4 | 1 | 2 | yes | — |
| 136 | C2×SD16×C71 | D4 | 1 | 1 | yes | characteristic, complemented |
| 137 | C2×SD16×C71 | D4 | 1 | 1 | yes | characteristic, complemented |
| 138 | C2×D8×C71 | — | 2 | 1 | no | — |
| 139 | C2×D8×C71 | D4 | 1 | 1 | yes | characteristic, complemented |
| 140 | #131×C71 | — | 2 | 1 | no | — |
| 141 | #131×C71 | — | 2 | 1 | no | — |
| 142 | #131×C71 | — | 2 | 1 | no | — |
| 143 | #131×C71 | — | 2 | 1 | no | — |
| 144 | #131×C71 | — | 2 | 1 | no | — |
| 145 | #131×C71 | — | 2 | 1 | no | — |
| 146 | #131×C71 | D4 | 1 | 2 | yes | complemented |
| 147 | #131×C71 | D4 | 1 | 2 | yes | complemented |
| 148 | C2×M16×C71 | — | 2 | 1 | no | — |
| 149 | C2×M16×C71 | — | 2 | 1 | no | — |
| 150 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 151 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 152 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 153 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 154 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 155 | C22×C8×C71 | — | 2 | 1 | no | — |
| 156 | C22×C8×C71 | — | 2 | 1 | no | — |
| 157 | C22×C8×C71 | C23 | 1 | 1 | yes | characteristic |
| 158 | C4⋊Q8×C71 | — | 2 | 1 | no | — |
| 159 | #127×C71 | — | 2 | 1 | no | — |
| 160 | #124×C71 | — | 2 | 1 | no | — |
| 161 | #124×C71 | — | 2 | 1 | no | — |
| 162 | #123×C71 | — | 4 | 1 | no | — |
| 163 | C22⋊Q8×C71 | — | 2 | 2 | no | — |
| 164 | #121×C71 | — | 2 | 2 | no | — |
| 165 | #120×C71 | — | 4 | 1 | no | — |
| 166 | #117×C71 | C23 | 1 | 1 | yes | characteristic |
| 167 | #117×C71 | C23 | 1 | 1 | yes | characteristic |
| 168 | #117×C71 | C23 | 1 | 1 | yes | characteristic |
| 169 | #108×C71 | — | 2 | 2 | no | — |
| 170 | #108×C71 | — | 2 | 1 | no | — |
| 171 | #108×C71 | — | 2 | 1 | no | — |
| 172 | #107×C71 | — | 2 | 1 | no | — |
| 173 | #106×C71 | — | 2 | 1 | no | — |
| 174 | #104×C71 | — | 2 | 2 | no | — |
| 175 | #104×C71 | — | 2 | 2 | no | — |
| 176 | #104×C71 | — | 2 | 2 | no | — |
| 177 | #104×C71 | — | 2 | 2 | no | — |
| 178 | #104×C71 | — | 2 | 2 | no | — |
| 179 | #104×C71 | — | 2 | 2 | no | — |
| 180 | #103×C71 | — | 2 | 2 | no | — |
| 181 | #103×C71 | — | 4 | 1 | no | — |
| 182 | #102×C71 | — | 2 | 2 | no | — |
| 183 | #102×C71 | — | 4 | 1 | no | — |
| 184 | #101×C71 | — | 2 | 1 | no | — |
| 185 | #101×C71 | — | 2 | 1 | no | — |
| 186 | #101×C71 | — | 2 | 2 | no | — |
| 187 | #100×C71 | — | 2 | 1 | no | — |
| 188 | #100×C71 | — | 2 | 1 | no | — |
| 189 | #100×C71 | — | 2 | 2 | no | — |
| 190 | #99×C71 | — | 4 | 1 | no | — |
| 191 | #99×C71 | — | 4 | 1 | no | — |
| 192 | #97×C71 | — | 2 | 1 | no | — |
| 193 | C4×C8×C71 | — | 2 | 1 | no | — |
| 194 | C24×C71 | — | 2 | 1 | no | — |
| 195 | C24×C71 | — | 4 | 1 | no | — |
| 196 | #41×C71 | — | 2 | 1 | no | — |
| 197 | #41×C71 | — | 2 | 1 | no | — |
| 198 | #41×C71 | — | 2 | 4 | no | — |
| 199 | #41×C71 | — | 2 | 4 | no | — |
| 200 | #41×C71 | — | 2 | 1 | no | — |
| 201 | #41×C71 | — | 2 | 1 | no | — |
| 202 | #41×C71 | — | 2 | 1 | no | — |
| 203 | #41×C71 | — | 2 | 1 | no | — |
| 204 | #41×C71 | — | 2 | 1 | no | — |
| 205 | #41×C71 | — | 2 | 1 | no | — |
| 206 | #41×C71 | — | 2 | 1 | no | — |
| 207 | #41×C71 | — | 2 | 1 | no | — |
| 208 | #41×C71 | — | 2 | 1 | no | — |
| 209 | #41×C71 | — | 2 | 1 | no | — |
| 210 | #41×C71 | — | 2 | 1 | no | — |
| 211 | #41×C71 | — | 2 | 1 | no | — |
| 212 | #41×C71 | — | 4 | 2 | no | — |
| 213 | #41×C71 | — | 4 | 4 | no | — |
| 214 | #41×C71 | — | 4 | 2 | no | — |
| 215 | #41×C71 | — | 4 | 2 | no | — |
| 216 | #41×C71 | — | 4 | 2 | no | — |
| 217 | #41×C71 | — | 4 | 4 | no | — |
| 218 | #41×C71 | — | 4 | 2 | no | — |
| 219 | #41×C71 | — | 4 | 2 | no | — |
| 220 | #41×C71 | C2×D4 | 1 | 2 | yes | — |
| 221 | #41×C71 | C2×D4 | 1 | 2 | yes | — |
| 222 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 223 | C2×Q8×C71 | — | 2 | 4 | no | — |
| 224 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 225 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 226 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 227 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 228 | C2×Q8×C71 | — | 4 | 1 | no | — |
| 229 | C2×Q8×C71 | — | 4 | 2 | no | — |
| 230 | C2×Q8×C71 | — | 4 | 2 | no | — |
| 231 | C2×Q8×C71 | — | 4 | 2 | no | — |
| 232 | C2×Q8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 233 | C2×Q8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 234 | C2×Q8×C71 | C2×D4 | 1 | 2 | yes | — |
| 235 | C2×Q8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 236 | C2×Q8×C71 | #41 | 1 | 1 | yes | characteristic |
| 237 | C2×D4×C71 | — | 2 | 1 | no | — |
| 238 | C2×D4×C71 | — | 2 | 4 | no | — |
| 239 | C2×D4×C71 | — | 2 | 1 | no | — |
| 240 | C2×D4×C71 | — | 2 | 1 | no | — |
| 241 | C2×D4×C71 | — | 2 | 1 | no | — |
| 242 | C2×D4×C71 | — | 2 | 1 | no | — |
| 243 | C2×D4×C71 | — | 2 | 1 | no | — |
| 244 | C2×D4×C71 | — | 2 | 1 | no | — |
| 245 | C2×D4×C71 | — | 2 | 1 | no | — |
| 246 | C2×D4×C71 | — | 2 | 1 | no | — |
| 247 | C2×D4×C71 | — | 4 | 2 | no | — |
| 248 | C2×D4×C71 | — | 4 | 1 | no | — |
| 249 | C2×D4×C71 | — | 4 | 1 | no | — |
| 250 | C2×D4×C71 | — | 4 | 2 | no | — |
| 251 | C2×D4×C71 | — | 4 | 4 | no | — |
| 252 | C2×D4×C71 | — | 4 | 4 | no | — |
| 253 | C2×D4×C71 | — | 4 | 1 | no | — |
| 254 | C2×D4×C71 | — | 4 | 2 | no | — |
| 255 | C2×D4×C71 | — | 4 | 2 | no | — |
| 256 | C2×D4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 257 | C2×D4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 258 | C2×D4×C71 | C2×D4 | 1 | 2 | yes | — |
| 259 | C2×D4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 260 | C2×D4×C71 | #41 | 1 | 1 | yes | characteristic |
| 261 | C22×C4×C71 | — | 2 | 1 | no | — |
| 262 | C22×C4×C71 | — | 2 | 1 | no | — |
| 263 | C22×C4×C71 | — | 2 | 1 | no | — |
| 264 | C22×C4×C71 | — | 2 | 1 | no | — |
| 265 | C22×C4×C71 | — | 2 | 1 | no | — |
| 266 | C22×C4×C71 | — | 4 | 1 | no | — |
| 267 | C22×C4×C71 | — | 4 | 1 | no | — |
| 268 | C22×C4×C71 | — | 4 | 1 | no | — |
| 269 | C22×C4×C71 | C24 | 1 | 1 | yes | characteristic |
| 270 | Q16×C71 | — | 2 | 4 | no | — |
| 271 | Q16×C71 | — | 2 | 2 | no | — |
| 272 | Q16×C71 | — | 2 | 1 | no | — |
| 273 | Q16×C71 | — | 2 | 1 | no | — |
| 274 | Q16×C71 | — | 4 | 1 | no | — |
| 275 | Q16×C71 | — | 4 | 1 | no | — |
| 276 | SD16×C71 | — | 2 | 4 | no | — |
| 277 | SD16×C71 | — | 2 | 4 | no | — |
| 278 | SD16×C71 | — | 2 | 2 | no | — |
| 279 | SD16×C71 | — | 2 | 2 | no | — |
| 280 | SD16×C71 | — | 2 | 2 | no | — |
| 281 | SD16×C71 | — | 2 | 2 | no | — |
| 282 | SD16×C71 | — | 2 | 1 | no | — |
| 283 | SD16×C71 | — | 2 | 1 | no | — |
| 284 | SD16×C71 | — | 2 | 2 | no | — |
| 285 | SD16×C71 | — | 2 | 2 | no | — |
| 286 | SD16×C71 | — | 2 | 1 | no | — |
| 287 | SD16×C71 | — | 2 | 1 | no | — |
| 288 | SD16×C71 | — | 4 | 1 | no | — |
| 289 | SD16×C71 | — | 4 | 1 | no | — |
| 290 | SD16×C71 | — | 4 | 1 | no | — |
| 291 | SD16×C71 | — | 4 | 1 | no | — |
| 292 | D8×C71 | — | 2 | 4 | no | — |
| 293 | D8×C71 | — | 2 | 2 | no | — |
| 294 | D8×C71 | — | 2 | 1 | no | — |
| 295 | D8×C71 | — | 2 | 1 | no | — |
| 296 | D8×C71 | — | 4 | 1 | no | — |
| 297 | D8×C71 | — | 4 | 1 | no | — |
| 298 | M16×C71 | — | 2 | 1 | no | — |
| 299 | M16×C71 | — | 2 | 1 | no | — |
| 300 | M16×C71 | — | 2 | 2 | no | — |
| 301 | M16×C71 | — | 2 | 2 | no | — |
| 302 | M16×C71 | — | 2 | 1 | no | — |
| 303 | M16×C71 | — | 2 | 1 | no | — |
| 304 | M16×C71 | — | 2 | 1 | no | — |
| 305 | M16×C71 | — | 2 | 1 | no | — |
| 306 | M16×C71 | — | 2 | 1 | no | — |
| 307 | M16×C71 | — | 2 | 1 | no | — |
| 308 | M16×C71 | — | 4 | 1 | no | — |
| 309 | M16×C71 | — | 4 | 1 | no | — |
| 310 | M16×C71 | C2×D4 | 1 | 2 | yes | — |
| 311 | M16×C71 | C2×D4 | 1 | 2 | yes | — |
| 312 | C2×C8×C71 | — | 2 | 1 | no | — |
| 313 | C2×C8×C71 | — | 2 | 1 | no | — |
| 314 | C2×C8×C71 | — | 2 | 2 | no | — |
| 315 | C2×C8×C71 | — | 2 | 2 | no | — |
| 316 | C2×C8×C71 | — | 2 | 1 | no | — |
| 317 | C2×C8×C71 | — | 2 | 1 | no | — |
| 318 | C2×C8×C71 | — | 2 | 1 | no | — |
| 319 | C2×C8×C71 | — | 4 | 1 | no | — |
| 320 | C2×C8×C71 | — | 4 | 1 | no | — |
| 321 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 322 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 323 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 324 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 325 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 326 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 327 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 328 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 329 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 330 | C4⋊C4×C71 | — | 4 | 2 | no | — |
| 331 | C22⋊C4×C71 | — | 2 | 1 | no | — |
| 332 | C22⋊C4×C71 | — | 2 | 1 | no | — |
| 333 | C22⋊C4×C71 | — | 2 | 1 | no | — |
| 334 | C22⋊C4×C71 | — | 4 | 2 | no | — |
| 335 | C22⋊C4×C71 | — | 4 | 2 | no | — |
| 336 | C42×C71 | — | 2 | 1 | no | — |
| 337 | C42×C71 | — | 2 | 1 | no | — |
| 338 | C42×C71 | — | 2 | 1 | no | — |
| 339 | C23×C71 | — | 2 | 1 | no | — |
| 340 | C23×C71 | — | 2 | 1 | no | — |
| 341 | C23×C71 | — | 2 | 2 | no | — |
| 342 | C23×C71 | — | 2 | 1 | no | — |
| 343 | C23×C71 | — | 2 | 1 | no | — |
| 344 | C23×C71 | — | 4 | 4 | no | — |
| 345 | C23×C71 | — | 4 | 1 | no | — |
| 346 | C23×C71 | — | 4 | 1 | no | — |
| 347 | C23×C71 | — | 16 | 1 | no | — |
| 348 | C23×C71 | — | 16 | 2 | no | — |
| 349 | C23×C71 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 350 | Q8×C71 | — | 2 | 1 | no | — |
| 351 | Q8×C71 | — | 2 | 1 | no | — |
| 352 | Q8×C71 | — | 2 | 2 | no | — |
| 353 | Q8×C71 | — | 2 | 1 | no | — |
| 354 | Q8×C71 | — | 2 | 1 | no | — |
| 355 | Q8×C71 | — | 2 | 1 | no | — |
| 356 | Q8×C71 | — | 2 | 1 | no | — |
| 357 | Q8×C71 | — | 2 | 1 | no | — |
| 358 | Q8×C71 | — | 2 | 2 | no | — |
| 359 | Q8×C71 | — | 4 | 4 | no | — |
| 360 | Q8×C71 | — | 4 | 1 | no | — |
| 361 | Q8×C71 | — | 4 | 1 | no | — |
| 362 | Q8×C71 | #121 | 1 | 2 | yes | — |
| 363 | D4×C71 | — | 2 | 2 | no | — |
| 364 | D4×C71 | — | 2 | 2 | no | — |
| 365 | D4×C71 | — | 2 | 1 | no | — |
| 366 | D4×C71 | — | 2 | 2 | no | — |
| 367 | D4×C71 | — | 2 | 1 | no | — |
| 368 | D4×C71 | — | 2 | 1 | no | — |
| 369 | D4×C71 | — | 2 | 1 | no | — |
| 370 | D4×C71 | — | 2 | 1 | no | — |
| 371 | D4×C71 | — | 2 | 1 | no | — |
| 372 | D4×C71 | — | 2 | 1 | no | — |
| 373 | D4×C71 | — | 2 | 2 | no | — |
| 374 | D4×C71 | — | 4 | 4 | no | — |
| 375 | D4×C71 | — | 4 | 4 | no | — |
| 376 | D4×C71 | — | 4 | 4 | no | — |
| 377 | D4×C71 | — | 4 | 1 | no | — |
| 378 | D4×C71 | — | 4 | 1 | no | — |
| 379 | D4×C71 | — | 4 | 1 | no | — |
| 380 | D4×C71 | — | 4 | 1 | no | — |
| 381 | D4×C71 | — | 4 | 1 | no | — |
| 382 | D4×C71 | — | 4 | 1 | no | — |
| 383 | D4×C71 | — | 4 | 1 | no | — |
| 384 | D4×C71 | — | 4 | 1 | no | — |
| 385 | D4×C71 | — | 16 | 2 | no | — |
| 386 | D4×C71 | #121 | 1 | 2 | yes | — |
| 387 | C2×C4×C71 | — | 2 | 1 | no | — |
| 388 | C2×C4×C71 | — | 2 | 2 | no | — |
| 389 | C2×C4×C71 | — | 2 | 2 | no | — |
| 390 | C2×C4×C71 | — | 2 | 1 | no | — |
| 391 | C2×C4×C71 | — | 2 | 2 | no | — |
| 392 | C2×C4×C71 | — | 2 | 1 | no | — |
| 393 | C2×C4×C71 | — | 2 | 1 | no | — |
| 394 | C2×C4×C71 | — | 4 | 4 | no | — |
| 395 | C2×C4×C71 | — | 4 | 4 | no | — |
| 396 | C2×C4×C71 | — | 4 | 4 | no | — |
| 397 | C2×C4×C71 | — | 4 | 1 | no | — |
| 398 | C2×C4×C71 | — | 4 | 1 | no | — |
| 399 | C2×C4×C71 | — | 4 | 1 | no | — |
| 400 | C2×C4×C71 | — | 4 | 1 | no | — |
| 401 | C2×C4×C71 | — | 4 | 1 | no | — |
| 402 | C2×C4×C71 | — | 4 | 1 | no | — |
| 403 | C2×C4×C71 | — | 4 | 1 | no | — |
| 404 | C2×C4×C71 | — | 4 | 1 | no | — |
| 405 | C2×C4×C71 | — | 4 | 1 | no | — |
| 406 | C2×C4×C71 | — | 4 | 1 | no | — |
| 407 | C2×C4×C71 | — | 4 | 1 | no | — |
| 408 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 409 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 410 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 411 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 412 | C2×C4×C71 | C2×#41 | 1 | 1 | yes | characteristic |
| 413 | C2×C4×C71 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 414 | C8×C71 | — | 2 | 2 | no | — |
| 415 | C8×C71 | — | 2 | 2 | no | — |
| 416 | C8×C71 | — | 4 | 1 | no | — |
| 417 | C8×C71 | — | 4 | 1 | no | — |
| 418 | C8×C71 | — | 4 | 1 | no | — |
| 419 | C8×C71 | #120 | 1 | 1 | yes | characteristic |
| 420 | C8×C71 | #120 | 1 | 1 | yes | characteristic |
| 421 | C8×C71 | #120 | 1 | 1 | yes | characteristic |
| 422 | C8×C71 | #120 | 1 | 1 | yes | characteristic |
| 423 | C22×C71 | — | 2 | 2 | no | — |
| 424 | C22×C71 | — | 4 | 1 | no | — |
| 425 | C22×C71 | — | 4 | 2 | no | — |
| 426 | C22×C71 | — | 4 | 2 | no | — |
| 427 | C22×C71 | — | 4 | 1 | no | — |
| 428 | C22×C71 | — | 4 | 2 | no | — |
| 429 | C22×C71 | — | 4 | 1 | no | — |
| 430 | C22×C71 | — | 4 | 1 | no | — |
| 431 | C22×C71 | — | 8 | 2 | no | — |
| 432 | C22×C71 | — | 8 | 1 | no | — |
| 433 | C22×C71 | — | 8 | 1 | no | — |
| 434 | C22×C71 | — | 8 | 2 | no | — |
| 435 | C22×C71 | — | 16 | 1 | no | — |
| 436 | C22×C71 | — | 16 | 4 | no | — |
| 437 | C22×C71 | #535 | 1 | 1 | yes | characteristic |
| 438 | C22×C71 | D42 | 1 | 1 | yes | characteristic |
| 439 | C22×C71 | #546 | 1 | 1 | yes | characteristic |
| 440 | C4×C71 | — | 2 | 2 | no | — |
| 441 | C4×C71 | — | 4 | 1 | no | — |
| 442 | C4×C71 | — | 4 | 2 | no | — |
| 443 | C4×C71 | — | 4 | 1 | no | — |
| 444 | C4×C71 | — | 4 | 1 | no | — |
| 445 | C4×C71 | — | 8 | 1 | no | — |
| 446 | C4×C71 | — | 8 | 1 | no | — |
| 447 | C4×C71 | — | 8 | 1 | no | — |
| 448 | C4×C71 | C2×#120 | 1 | 1 | yes | characteristic |
| 449 | C4×C71 | C2×#121 | 1 | 1 | yes | characteristic |
| 450 | C4×C71 | D42 | 1 | 1 | yes | characteristic |
| 451 | C4×C71 | #546 | 1 | 1 | yes | characteristic |
| 452 | #24295 | C71 | 1 | 1 | yes | maximal, characteristic, direct product factor, Sylow |
| 453 | C2×C71 | — | 2 | 1 | no | — |
| 454 | C2×C71 | — | 2 | 1 | no | — |
| 455 | C2×C71 | — | 2 | 1 | no | — |
| 456 | C2×C71 | — | 4 | 2 | no | — |
| 457 | C2×C71 | — | 8 | 1 | no | — |
| 458 | C2×C71 | — | 8 | 1 | no | — |
| 459 | C2×C71 | — | 8 | 2 | no | — |
| 460 | C2×C71 | — | 8 | 1 | no | — |
| 461 | C2×C71 | #2408 | 1 | 1 | yes | characteristic |
| 462 | C2×#577 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 463 | #3067 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 464 | #3057 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 465 | #3020 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 466 | #3019 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 467 | #2955 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 468 | #2049 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 469 | #2048 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 470 | #2009 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 471 | #2008 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 472 | #1977 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 473 | #1976 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 474 | #1814 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 475 | #1796 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 476 | #1795 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 477 | C71 | #24295 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 478 | C2×2−1+4 | C22×C71 | 1 | 1 | yes | characteristic |
| 479 | C2×H(5,𝔽2) | C22×C71 | 1 | 1 | yes | characteristic |
| 480 | #577 | — | 2 | 2 | no | — |
| 481 | #577 | — | 2 | 2 | no | — |
| 482 | #577 | — | 2 | 2 | no | — |
| 483 | #577 | — | 2 | 2 | no | — |
| 484 | #575 | C22×C71 | 1 | 1 | yes | characteristic |
| 485 | #575 | C22×C71 | 1 | 1 | yes | characteristic |
| 486 | #575 | C22×C71 | 1 | 1 | yes | characteristic, complemented |
| 487 | C2×#137 | — | 2 | 1 | no | — |
| 488 | C2×#137 | C22×C71 | 1 | 1 | yes | characteristic |
| 489 | C2×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 490 | C2×AGL(1,ℤ/8) | C22×C71 | 1 | 1 | yes | characteristic |
| 491 | C2×#135 | — | 2 | 1 | no | — |
| 492 | C2×#135 | C22×C71 | 1 | 1 | yes | characteristic |
| 493 | C22×SD16 | — | 2 | 1 | no | — |
| 494 | C22×SD16 | C22×C71 | 1 | 1 | yes | characteristic |
| 495 | C2×#131 | C22×C71 | 1 | 1 | yes | characteristic |
| 496 | C2×#131 | C22×C71 | 1 | 1 | yes | characteristic, complemented |
| 497 | #536 | C22×C71 | 1 | 1 | yes | characteristic, complemented |
| 498 | #535 | C22×C71 | 1 | 1 | yes | characteristic |
| 499 | #473 | — | 2 | 1 | no | — |
| 500 | #472 | — | 2 | 1 | no | — |
| 501 | #471 | — | 2 | 1 | no | — |
| 502 | #471 | — | 2 | 1 | no | — |
| 503 | #468 | — | 2 | 2 | no | — |
| 504 | #465 | — | 2 | 2 | no | — |
| 505 | #456 | — | 2 | 2 | no | — |
| 506 | #455 | — | 2 | 2 | no | — |
| 507 | #454 | — | 2 | 2 | no | — |
| 508 | #453 | — | 2 | 2 | no | — |
| 509 | #444 | — | 2 | 2 | no | — |
| 510 | #443 | — | 2 | 2 | no | — |
| 511 | #430 | C22×C71 | 1 | 1 | yes | characteristic, complemented |
| 512 | C2×#108 | C22×C71 | 1 | 1 | yes | characteristic, complemented |
| 513 | #427 | C22×C71 | 1 | 1 | yes | characteristic, complemented |
| 514 | #421 | C22×C71 | 1 | 1 | yes | characteristic |
| 515 | #421 | C22×C71 | 1 | 1 | yes | characteristic |
| 516 | #421 | C22×C71 | 1 | 1 | yes | characteristic |
| 517 | #421 | C22×C71 | 1 | 1 | yes | characteristic |
| 518 | #421 | C22×C71 | 1 | 1 | yes | characteristic, complemented |
| 519 | #421 | C22×C71 | 1 | 1 | yes | characteristic, complemented |
| 520 | #419 | C22×C71 | 1 | 1 | yes | characteristic, complemented |
| 521 | #419 | C22×C71 | 1 | 1 | yes | characteristic, complemented |
| 522 | #418 | C22×C71 | 1 | 1 | yes | characteristic |
| 523 | #418 | C22×C71 | 1 | 1 | yes | characteristic |
| 524 | #413 | C22×C71 | 1 | 1 | yes | characteristic |
| 525 | #413 | C22×C71 | 1 | 1 | yes | characteristic, complemented |
| 526 | C2×#101 | C22×C71 | 1 | 1 | yes | characteristic, complemented |
| 527 | C2×#100 | C22×C71 | 1 | 1 | yes | characteristic |
| 528 | #410 | C22×C71 | 1 | 1 | yes | characteristic |
| 529 | #410 | C22×C71 | 1 | 1 | yes | characteristic, complemented |
| 530 | #405 | C22×C71 | 1 | 1 | yes | characteristic, complemented |
| 531 | #344 | C22×C71 | 1 | 1 | yes | characteristic, complemented |
| 532 | #344 | C22×C71 | 1 | 1 | yes | characteristic, complemented |
| 533 | 2−1+4 | — | 2 | 2 | no | — |
| 534 | 2−1+4 | — | 2 | 2 | no | — |
| 535 | 2−1+4 | — | 2 | 2 | no | — |
| 536 | 2−1+4 | — | 4 | 1 | no | — |
| 537 | H(5,𝔽2) | — | 2 | 2 | no | — |
| 538 | H(5,𝔽2) | — | 2 | 2 | no | — |
| 539 | H(5,𝔽2) | — | 2 | 2 | no | — |
| 540 | H(5,𝔽2) | — | 4 | 1 | no | — |
| 541 | C2×#41 | — | 2 | 1 | no | — |
| 542 | C2×#41 | — | 2 | 1 | no | — |
| 543 | C2×#41 | — | 2 | 1 | no | — |
| 544 | C2×#41 | — | 2 | 1 | no | — |
| 545 | C2×#41 | — | 4 | 1 | no | — |
| 546 | C2×#41 | C23×C71 | 1 | 1 | yes | characteristic |
| 547 | C2×#41 | C23×C71 | 1 | 1 | yes | characteristic |
| 548 | C2×#41 | C23×C71 | 1 | 1 | yes | characteristic |
| 549 | C2×#41 | C23×C71 | 1 | 1 | yes | characteristic |
| 550 | C22×Q8 | — | 2 | 1 | no | — |
| 551 | C22×Q8 | — | 2 | 1 | no | — |
| 552 | C22×Q8 | C23×C71 | 1 | 1 | yes | characteristic |
| 553 | C22×D4 | — | 2 | 1 | no | — |
| 554 | C22×D4 | — | 2 | 1 | no | — |
| 555 | C22×D4 | — | 4 | 1 | no | — |
| 556 | C22×D4 | C23×C71 | 1 | 1 | yes | characteristic |
| 557 | #137 | — | 2 | 4 | no | — |
| 558 | #137 | — | 2 | 4 | no | — |
| 559 | #137 | — | 2 | 2 | no | — |
| 560 | #137 | — | 2 | 1 | no | — |
| 561 | #137 | — | 2 | 1 | no | — |
| 562 | #137 | — | 2 | 1 | no | — |
| 563 | #137 | — | 2 | 1 | no | — |
| 564 | #137 | — | 2 | 1 | no | — |
| 565 | #137 | — | 2 | 2 | no | — |
| 566 | #137 | D4×C71 | 1 | 2 | yes | — |
| 567 | AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 568 | AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 569 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 570 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 571 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 572 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 573 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 574 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 575 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 576 | AGL(1,ℤ/8) | D4×C71 | 1 | 2 | yes | — |
| 577 | #135 | — | 2 | 4 | no | — |
| 578 | #135 | — | 2 | 4 | no | — |
| 579 | #135 | — | 2 | 2 | no | — |
| 580 | #135 | — | 2 | 1 | no | — |
| 581 | #135 | — | 2 | 1 | no | — |
| 582 | #135 | — | 2 | 1 | no | — |
| 583 | #135 | — | 2 | 1 | no | — |
| 584 | #135 | — | 4 | 1 | no | — |
| 585 | #135 | — | 4 | 1 | no | — |
| 586 | C2×Q16 | — | 2 | 1 | no | — |
| 587 | C2×Q16 | D4×C71 | 1 | 1 | yes | characteristic, complemented |
| 588 | C2×SD16 | — | 2 | 4 | no | — |
| 589 | C2×SD16 | — | 2 | 4 | no | — |
| 590 | C2×SD16 | — | 2 | 1 | no | — |
| 591 | C2×SD16 | — | 2 | 1 | no | — |
| 592 | C2×SD16 | — | 2 | 1 | no | — |
| 593 | C2×SD16 | — | 2 | 1 | no | — |
| 594 | C2×SD16 | — | 2 | 1 | no | — |
| 595 | C2×SD16 | — | 2 | 1 | no | — |
| 596 | C2×SD16 | D4×C71 | 1 | 2 | yes | — |
| 597 | C2×SD16 | D4×C71 | 1 | 2 | yes | — |
| 598 | C2×SD16 | D4×C71 | 1 | 1 | yes | characteristic, complemented |
| 599 | C2×SD16 | D4×C71 | 1 | 1 | yes | characteristic, complemented |
| 600 | C2×D8 | — | 2 | 1 | no | — |
| 601 | C2×D8 | D4×C71 | 1 | 1 | yes | characteristic, complemented |
| 602 | #131 | — | 2 | 1 | no | — |
| 603 | #131 | — | 2 | 1 | no | — |
| 604 | #131 | — | 2 | 1 | no | — |
| 605 | #131 | — | 2 | 1 | no | — |
| 606 | #131 | — | 2 | 1 | no | — |
| 607 | #131 | — | 2 | 1 | no | — |
| 608 | #131 | D4×C71 | 1 | 2 | yes | complemented |
| 609 | #131 | D4×C71 | 1 | 2 | yes | complemented |
| 610 | C2×M16 | — | 2 | 1 | no | — |
| 611 | C2×M16 | — | 2 | 1 | no | — |
| 612 | C2×M16 | C23×C71 | 1 | 1 | yes | characteristic |
| 613 | C2×M16 | C23×C71 | 1 | 1 | yes | characteristic |
| 614 | C2×M16 | C23×C71 | 1 | 1 | yes | characteristic |
| 615 | C2×M16 | C23×C71 | 1 | 1 | yes | characteristic |
| 616 | C2×M16 | C23×C71 | 1 | 1 | yes | characteristic |
| 617 | C22×C8 | — | 2 | 1 | no | — |
| 618 | C22×C8 | — | 2 | 1 | no | — |
| 619 | C22×C8 | C23×C71 | 1 | 1 | yes | characteristic |
| 620 | C4⋊Q8 | — | 2 | 1 | no | — |
| 621 | #127 | — | 2 | 1 | no | — |
| 622 | #124 | — | 2 | 1 | no | — |
| 623 | #124 | — | 2 | 1 | no | — |
| 624 | #123 | — | 4 | 1 | no | — |
| 625 | C22⋊Q8 | — | 2 | 2 | no | — |
| 626 | #121 | — | 2 | 2 | no | — |
| 627 | #120 | — | 4 | 1 | no | — |
| 628 | #117 | C23×C71 | 1 | 1 | yes | characteristic |
| 629 | #117 | C23×C71 | 1 | 1 | yes | characteristic |
| 630 | #117 | C23×C71 | 1 | 1 | yes | characteristic |
| 631 | #108 | — | 2 | 2 | no | — |
| 632 | #108 | — | 2 | 1 | no | — |
| 633 | #108 | — | 2 | 1 | no | — |
| 634 | #107 | — | 2 | 1 | no | — |
| 635 | #106 | — | 2 | 1 | no | — |
| 636 | #104 | — | 2 | 2 | no | — |
| 637 | #104 | — | 2 | 2 | no | — |
| 638 | #104 | — | 2 | 2 | no | — |
| 639 | #104 | — | 2 | 2 | no | — |
| 640 | #104 | — | 2 | 2 | no | — |
| 641 | #104 | — | 2 | 2 | no | — |
| 642 | #103 | — | 2 | 2 | no | — |
| 643 | #103 | — | 4 | 1 | no | — |
| 644 | #102 | — | 2 | 2 | no | — |
| 645 | #102 | — | 4 | 1 | no | — |
| 646 | #101 | — | 2 | 1 | no | — |
| 647 | #101 | — | 2 | 1 | no | — |
| 648 | #101 | — | 2 | 2 | no | — |
| 649 | #100 | — | 2 | 1 | no | — |
| 650 | #100 | — | 2 | 1 | no | — |
| 651 | #100 | — | 2 | 2 | no | — |
| 652 | #99 | — | 4 | 1 | no | — |
| 653 | #99 | — | 4 | 1 | no | — |
| 654 | #97 | — | 2 | 1 | no | — |
| 655 | C4×C8 | — | 2 | 1 | no | — |
| 656 | C24 | — | 2 | 1 | no | — |
| 657 | C24 | — | 4 | 1 | no | — |
| 658 | #41 | — | 2 | 1 | no | — |
| 659 | #41 | — | 2 | 1 | no | — |
| 660 | #41 | — | 2 | 4 | no | — |
| 661 | #41 | — | 2 | 4 | no | — |
| 662 | #41 | — | 2 | 1 | no | — |
| 663 | #41 | — | 2 | 1 | no | — |
| 664 | #41 | — | 2 | 1 | no | — |
| 665 | #41 | — | 2 | 1 | no | — |
| 666 | #41 | — | 2 | 1 | no | — |
| 667 | #41 | — | 2 | 1 | no | — |
| 668 | #41 | — | 2 | 1 | no | — |
| 669 | #41 | — | 2 | 1 | no | — |
| 670 | #41 | — | 2 | 1 | no | — |
| 671 | #41 | — | 2 | 1 | no | — |
| 672 | #41 | — | 2 | 1 | no | — |
| 673 | #41 | — | 2 | 1 | no | — |
| 674 | #41 | — | 4 | 2 | no | — |
| 675 | #41 | — | 4 | 4 | no | — |
| 676 | #41 | — | 4 | 2 | no | — |
| 677 | #41 | — | 4 | 2 | no | — |
| 678 | #41 | — | 4 | 2 | no | — |
| 679 | #41 | — | 4 | 4 | no | — |
| 680 | #41 | — | 4 | 2 | no | — |
| 681 | #41 | — | 4 | 2 | no | — |
| 682 | #41 | C2×D4×C71 | 1 | 2 | yes | — |
| 683 | #41 | C2×D4×C71 | 1 | 2 | yes | — |
| 684 | C2×Q8 | — | 2 | 1 | no | — |
| 685 | C2×Q8 | — | 2 | 4 | no | — |
| 686 | C2×Q8 | — | 2 | 1 | no | — |
| 687 | C2×Q8 | — | 2 | 1 | no | — |
| 688 | C2×Q8 | — | 2 | 1 | no | — |
| 689 | C2×Q8 | — | 2 | 1 | no | — |
| 690 | C2×Q8 | — | 4 | 1 | no | — |
| 691 | C2×Q8 | — | 4 | 2 | no | — |
| 692 | C2×Q8 | — | 4 | 2 | no | — |
| 693 | C2×Q8 | — | 4 | 2 | no | — |
| 694 | C2×Q8 | C2×D4×C71 | 1 | 1 | yes | characteristic |
| 695 | C2×Q8 | C2×D4×C71 | 1 | 1 | yes | characteristic |
| 696 | C2×Q8 | C2×D4×C71 | 1 | 2 | yes | — |
| 697 | C2×Q8 | C2×D4×C71 | 1 | 1 | yes | characteristic |
| 698 | C2×Q8 | #41×C71 | 1 | 1 | yes | characteristic |
| 699 | C2×D4 | — | 2 | 1 | no | — |
| 700 | C2×D4 | — | 2 | 4 | no | — |
| 701 | C2×D4 | — | 2 | 1 | no | — |
| 702 | C2×D4 | — | 2 | 1 | no | — |
| 703 | C2×D4 | — | 2 | 1 | no | — |
| 704 | C2×D4 | — | 2 | 1 | no | — |
| 705 | C2×D4 | — | 2 | 1 | no | — |
| 706 | C2×D4 | — | 2 | 1 | no | — |
| 707 | C2×D4 | — | 2 | 1 | no | — |
| 708 | C2×D4 | — | 2 | 1 | no | — |
| 709 | C2×D4 | — | 4 | 2 | no | — |
| 710 | C2×D4 | — | 4 | 1 | no | — |
| 711 | C2×D4 | — | 4 | 1 | no | — |
| 712 | C2×D4 | — | 4 | 2 | no | — |
| 713 | C2×D4 | — | 4 | 4 | no | — |
| 714 | C2×D4 | — | 4 | 4 | no | — |
| 715 | C2×D4 | — | 4 | 1 | no | — |
| 716 | C2×D4 | — | 4 | 2 | no | — |
| 717 | C2×D4 | — | 4 | 2 | no | — |
| 718 | C2×D4 | C2×D4×C71 | 1 | 1 | yes | characteristic |
| 719 | C2×D4 | C2×D4×C71 | 1 | 1 | yes | characteristic |
| 720 | C2×D4 | C2×D4×C71 | 1 | 2 | yes | — |
| 721 | C2×D4 | C2×D4×C71 | 1 | 1 | yes | characteristic |
| 722 | C2×D4 | #41×C71 | 1 | 1 | yes | characteristic |
| 723 | C22×C4 | — | 2 | 1 | no | — |
| 724 | C22×C4 | — | 2 | 1 | no | — |
| 725 | C22×C4 | — | 2 | 1 | no | — |
| 726 | C22×C4 | — | 2 | 1 | no | — |
| 727 | C22×C4 | — | 2 | 1 | no | — |
| 728 | C22×C4 | — | 4 | 1 | no | — |
| 729 | C22×C4 | — | 4 | 1 | no | — |
| 730 | C22×C4 | — | 4 | 1 | no | — |
| 731 | C22×C4 | C24×C71 | 1 | 1 | yes | characteristic |
| 732 | Q16 | — | 2 | 4 | no | — |
| 733 | Q16 | — | 2 | 2 | no | — |
| 734 | Q16 | — | 2 | 1 | no | — |
| 735 | Q16 | — | 2 | 1 | no | — |
| 736 | Q16 | — | 4 | 1 | no | — |
| 737 | Q16 | — | 4 | 1 | no | — |
| 738 | SD16 | — | 2 | 4 | no | — |
| 739 | SD16 | — | 2 | 4 | no | — |
| 740 | SD16 | — | 2 | 2 | no | — |
| 741 | SD16 | — | 2 | 2 | no | — |
| 742 | SD16 | — | 2 | 2 | no | — |
| 743 | SD16 | — | 2 | 2 | no | — |
| 744 | SD16 | — | 2 | 1 | no | — |
| 745 | SD16 | — | 2 | 1 | no | — |
| 746 | SD16 | — | 2 | 2 | no | — |
| 747 | SD16 | — | 2 | 2 | no | — |
| 748 | SD16 | — | 2 | 1 | no | — |
| 749 | SD16 | — | 2 | 1 | no | — |
| 750 | SD16 | — | 4 | 1 | no | — |
| 751 | SD16 | — | 4 | 1 | no | — |
| 752 | SD16 | — | 4 | 1 | no | — |
| 753 | SD16 | — | 4 | 1 | no | — |
| 754 | D8 | — | 2 | 4 | no | — |
| 755 | D8 | — | 2 | 2 | no | — |
| 756 | D8 | — | 2 | 1 | no | — |
| 757 | D8 | — | 2 | 1 | no | — |
| 758 | D8 | — | 4 | 1 | no | — |
| 759 | D8 | — | 4 | 1 | no | — |
| 760 | M16 | — | 2 | 1 | no | — |
| 761 | M16 | — | 2 | 1 | no | — |
| 762 | M16 | — | 2 | 2 | no | — |
| 763 | M16 | — | 2 | 2 | no | — |
| 764 | M16 | — | 2 | 1 | no | — |
| 765 | M16 | — | 2 | 1 | no | — |
| 766 | M16 | — | 2 | 1 | no | — |
| 767 | M16 | — | 2 | 1 | no | — |
| 768 | M16 | — | 2 | 1 | no | — |
| 769 | M16 | — | 2 | 1 | no | — |
| 770 | M16 | — | 4 | 1 | no | — |
| 771 | M16 | — | 4 | 1 | no | — |
| 772 | M16 | C2×D4×C71 | 1 | 2 | yes | — |
| 773 | M16 | C2×D4×C71 | 1 | 2 | yes | — |
| 774 | C2×C8 | — | 2 | 1 | no | — |
| 775 | C2×C8 | — | 2 | 1 | no | — |
| 776 | C2×C8 | — | 2 | 2 | no | — |
| 777 | C2×C8 | — | 2 | 2 | no | — |
| 778 | C2×C8 | — | 2 | 1 | no | — |
| 779 | C2×C8 | — | 2 | 1 | no | — |
| 780 | C2×C8 | — | 2 | 1 | no | — |
| 781 | C2×C8 | — | 4 | 1 | no | — |
| 782 | C2×C8 | — | 4 | 1 | no | — |
| 783 | C2×C8 | C2×D4×C71 | 1 | 1 | yes | characteristic |
| 784 | C2×C8 | C2×D4×C71 | 1 | 1 | yes | characteristic |
| 785 | C2×C8 | C2×D4×C71 | 1 | 1 | yes | characteristic |
| 786 | C2×C8 | C2×D4×C71 | 1 | 1 | yes | characteristic |
| 787 | C2×C8 | C2×D4×C71 | 1 | 1 | yes | characteristic |
| 788 | C2×C8 | C2×D4×C71 | 1 | 1 | yes | characteristic |
| 789 | C4⋊C4 | — | 2 | 1 | no | — |
| 790 | C4⋊C4 | — | 2 | 1 | no | — |
| 791 | C4⋊C4 | — | 2 | 1 | no | — |
| 792 | C4⋊C4 | — | 4 | 2 | no | — |
| 793 | C22⋊C4 | — | 2 | 1 | no | — |
| 794 | C22⋊C4 | — | 2 | 1 | no | — |
| 795 | C22⋊C4 | — | 2 | 1 | no | — |
| 796 | C22⋊C4 | — | 4 | 2 | no | — |
| 797 | C22⋊C4 | — | 4 | 2 | no | — |
| 798 | C42 | — | 2 | 1 | no | — |
| 799 | C42 | — | 2 | 1 | no | — |
| 800 | C42 | — | 2 | 1 | no | — |
| 801 | C23 | — | 2 | 1 | no | — |
| 802 | C23 | — | 2 | 1 | no | — |
| 803 | C23 | — | 2 | 2 | no | — |
| 804 | C23 | — | 2 | 1 | no | — |
| 805 | C23 | — | 2 | 1 | no | — |
| 806 | C23 | — | 4 | 4 | no | — |
| 807 | C23 | — | 4 | 1 | no | — |
| 808 | C23 | — | 4 | 1 | no | — |
| 809 | C23 | — | 16 | 1 | no | — |
| 810 | C23 | — | 16 | 2 | no | — |
| 811 | C23 | H(5,𝔽2)×C71 | 1 | 1 | yes | characteristic |
| 812 | Q8 | — | 2 | 1 | no | — |
| 813 | Q8 | — | 2 | 1 | no | — |
| 814 | Q8 | — | 2 | 2 | no | — |
| 815 | Q8 | — | 2 | 1 | no | — |
| 816 | Q8 | — | 2 | 1 | no | — |
| 817 | Q8 | — | 2 | 1 | no | — |
| 818 | Q8 | — | 2 | 1 | no | — |
| 819 | Q8 | — | 2 | 1 | no | — |
| 820 | Q8 | — | 2 | 2 | no | — |
| 821 | Q8 | — | 4 | 4 | no | — |
| 822 | Q8 | — | 4 | 1 | no | — |
| 823 | Q8 | — | 4 | 1 | no | — |
| 824 | Q8 | #121×C71 | 1 | 2 | yes | — |
| 825 | D4 | — | 2 | 2 | no | — |
| 826 | D4 | — | 2 | 2 | no | — |
| 827 | D4 | — | 2 | 1 | no | — |
| 828 | D4 | — | 2 | 2 | no | — |
| 829 | D4 | — | 2 | 1 | no | — |
| 830 | D4 | — | 2 | 1 | no | — |
| 831 | D4 | — | 2 | 1 | no | — |
| 832 | D4 | — | 2 | 1 | no | — |
| 833 | D4 | — | 2 | 1 | no | — |
| 834 | D4 | — | 2 | 1 | no | — |
| 835 | D4 | — | 2 | 2 | no | — |
| 836 | D4 | — | 4 | 4 | no | — |
| 837 | D4 | — | 4 | 4 | no | — |
| 838 | D4 | — | 4 | 4 | no | — |
| 839 | D4 | — | 4 | 1 | no | — |
| 840 | D4 | — | 4 | 1 | no | — |
| 841 | D4 | — | 4 | 1 | no | — |
| 842 | D4 | — | 4 | 1 | no | — |
| 843 | D4 | — | 4 | 1 | no | — |
| 844 | D4 | — | 4 | 1 | no | — |
| 845 | D4 | — | 4 | 1 | no | — |
| 846 | D4 | — | 4 | 1 | no | — |
| 847 | D4 | — | 16 | 2 | no | — |
| 848 | D4 | #121×C71 | 1 | 2 | yes | — |
| 849 | C2×C4 | — | 2 | 1 | no | — |
| 850 | C2×C4 | — | 2 | 2 | no | — |
| 851 | C2×C4 | — | 2 | 2 | no | — |
| 852 | C2×C4 | — | 2 | 1 | no | — |
| 853 | C2×C4 | — | 2 | 2 | no | — |
| 854 | C2×C4 | — | 2 | 1 | no | — |
| 855 | C2×C4 | — | 2 | 1 | no | — |
| 856 | C2×C4 | — | 4 | 4 | no | — |
| 857 | C2×C4 | — | 4 | 4 | no | — |
| 858 | C2×C4 | — | 4 | 4 | no | — |
| 859 | C2×C4 | — | 4 | 1 | no | — |
| 860 | C2×C4 | — | 4 | 1 | no | — |
| 861 | C2×C4 | — | 4 | 1 | no | — |
| 862 | C2×C4 | — | 4 | 1 | no | — |
| 863 | C2×C4 | — | 4 | 1 | no | — |
| 864 | C2×C4 | — | 4 | 1 | no | — |
| 865 | C2×C4 | — | 4 | 1 | no | — |
| 866 | C2×C4 | — | 4 | 1 | no | — |
| 867 | C2×C4 | — | 4 | 1 | no | — |
| 868 | C2×C4 | — | 4 | 1 | no | — |
| 869 | C2×C4 | — | 4 | 1 | no | — |
| 870 | C2×C4 | C22×D4×C71 | 1 | 1 | yes | characteristic |
| 871 | C2×C4 | C22×D4×C71 | 1 | 1 | yes | characteristic |
| 872 | C2×C4 | C22×D4×C71 | 1 | 1 | yes | characteristic |
| 873 | C2×C4 | C22×D4×C71 | 1 | 1 | yes | characteristic |
| 874 | C2×C4 | C2×#41×C71 | 1 | 1 | yes | characteristic |
| 875 | C2×C4 | H(5,𝔽2)×C71 | 1 | 1 | yes | characteristic |
| 876 | C8 | — | 2 | 2 | no | — |
| 877 | C8 | — | 2 | 2 | no | — |
| 878 | C8 | — | 4 | 1 | no | — |
| 879 | C8 | — | 4 | 1 | no | — |
| 880 | C8 | — | 4 | 1 | no | — |
| 881 | C8 | #120×C71 | 1 | 1 | yes | characteristic |
| 882 | C8 | #120×C71 | 1 | 1 | yes | characteristic |
| 883 | C8 | #120×C71 | 1 | 1 | yes | characteristic |
| 884 | C8 | #120×C71 | 1 | 1 | yes | characteristic |
| 885 | C22 | — | 2 | 2 | no | — |
| 886 | C22 | — | 4 | 1 | no | — |
| 887 | C22 | — | 4 | 2 | no | — |
| 888 | C22 | — | 4 | 2 | no | — |
| 889 | C22 | — | 4 | 1 | no | — |
| 890 | C22 | — | 4 | 2 | no | — |
| 891 | C22 | — | 4 | 1 | no | — |
| 892 | C22 | — | 4 | 1 | no | — |
| 893 | C22 | — | 8 | 2 | no | — |
| 894 | C22 | — | 8 | 1 | no | — |
| 895 | C22 | — | 8 | 1 | no | — |
| 896 | C22 | — | 8 | 2 | no | — |
| 897 | C22 | — | 16 | 1 | no | — |
| 898 | C22 | — | 16 | 4 | no | — |
| 899 | C22 | #535×C71 | 1 | 1 | yes | characteristic |
| 900 | C22 | D42×C71 | 1 | 1 | yes | characteristic |
| 901 | C22 | #546×C71 | 1 | 1 | yes | characteristic |
| 902 | C4 | — | 2 | 2 | no | — |
| 903 | C4 | — | 4 | 1 | no | — |
| 904 | C4 | — | 4 | 2 | no | — |
| 905 | C4 | — | 4 | 1 | no | — |
| 906 | C4 | — | 4 | 1 | no | — |
| 907 | C4 | — | 8 | 1 | no | — |
| 908 | C4 | — | 8 | 1 | no | — |
| 909 | C4 | — | 8 | 1 | no | — |
| 910 | C4 | C2×#120×C71 | 1 | 1 | yes | characteristic |
| 911 | C4 | C2×#121×C71 | 1 | 1 | yes | characteristic |
| 912 | C4 | D42×C71 | 1 | 1 | yes | characteristic |
| 913 | C4 | #546×C71 | 1 | 1 | yes | characteristic |
| 914 | C2 | — | 2 | 1 | no | — |
| 915 | C2 | — | 2 | 1 | no | — |
| 916 | C2 | — | 2 | 1 | no | — |
| 917 | C2 | — | 4 | 2 | no | — |
| 918 | C2 | — | 8 | 1 | no | — |
| 919 | C2 | — | 8 | 2 | no | — |
| 920 | C2 | — | 8 | 1 | no | — |
| 921 | C2 | — | 8 | 1 | no | — |
| 922 | C2 | C71×#2408 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta