| 1 | C2×#17986177 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #22597186 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #22597179 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #22596866 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #22589155 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #22589005 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #22588999 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #22588855 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #22588853 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #22588740 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #22588566 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #22588564 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #22588187 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #22588182 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C71×#2897 | C2 | 1 | 1 | yes | maximal, characteristic |
| 16 | C2×#14556158 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#14556158 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#14556135 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#14556115 | C22 | 1 | 1 | yes | characteristic |
| 20 | #17986482 | C22 | 1 | 1 | yes | characteristic |
| 21 | #17986476 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #17986177 | C4 | 1 | 8 | yes | complemented |
| 23 | #17986104 | — | 2 | 1 | no | — |
| 24 | #17986103 | — | 2 | 1 | no | — |
| 25 | #17986099 | — | 2 | 1 | no | — |
| 26 | #17986096 | — | 2 | 1 | no | — |
| 27 | C4×#11765855 | — | 2 | 1 | no | — |
| 28 | #17986091 | — | 2 | 1 | no | — |
| 29 | #17986090 | — | 2 | 1 | no | — |
| 30 | C4×#11765853 | — | 2 | 1 | no | — |
| 31 | #17986042 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #17986039 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C2×#14556055 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×#14556055 | C22 | 1 | 1 | yes | characteristic |
| 35 | #17986004 | — | 2 | 1 | no | — |
| 36 | #17986004 | C22 | 1 | 1 | yes | characteristic |
| 37 | #17986000 | — | 2 | 1 | no | — |
| 38 | #17986000 | C22 | 1 | 1 | yes | characteristic |
| 39 | #17985995 | — | 2 | 1 | no | — |
| 40 | #17985995 | C22 | 1 | 1 | yes | characteristic |
| 41 | C2×#14556053 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | C2×#14556051 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C2×#14556049 | — | 2 | 1 | no | — |
| 44 | C2×#14556049 | C22 | 1 | 1 | yes | characteristic |
| 45 | C2×#14556046 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | C2×#14556045 | C22 | 1 | 1 | yes | characteristic |
| 47 | #17985955 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #17985954 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C2×#14556038 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #17985868 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #17985768 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #17985767 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #17985764 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #17985763 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #17985760 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #17985758 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | C2×H(5,𝔽2)×C71 | C22 | 1 | 1 | yes | characteristic |
| 58 | C2×#131×C71 | C22 | 1 | 1 | yes | characteristic |
| 59 | #520×C71 | C22 | 1 | 1 | yes | characteristic |
| 60 | #418×C71 | — | 2 | 1 | no | — |
| 61 | #418×C71 | C22 | 1 | 1 | yes | characteristic |
| 62 | #417×C71 | — | 2 | 1 | no | — |
| 63 | #417×C71 | C22 | 1 | 1 | yes | characteristic |
| 64 | #416×C71 | — | 2 | 1 | no | — |
| 65 | #416×C71 | C22 | 1 | 1 | yes | characteristic |
| 66 | C2×#102×C71 | — | 2 | 1 | no | — |
| 67 | C2×#102×C71 | C22 | 1 | 1 | yes | characteristic |
| 68 | C22×Dic142 | C23 | 1 | 1 | yes | characteristic |
| 69 | #14556158 | — | 2 | 2 | no | — |
| 70 | #14556158 | — | 2 | 2 | no | — |
| 71 | #14556158 | C2×C4 | 1 | 4 | yes | complemented |
| 72 | #14556158 | C2×C4 | 1 | 4 | yes | complemented |
| 73 | C2×#11765855 | — | 2 | 1 | no | — |
| 74 | C2×#11765855 | — | 2 | 1 | no | — |
| 75 | C2×#11765853 | — | 2 | 1 | no | — |
| 76 | C2×#11765853 | — | 2 | 1 | no | — |
| 77 | #14556135 | — | 2 | 2 | no | — |
| 78 | #14556135 | — | 4 | 1 | no | — |
| 79 | C2×#11765849 | — | 2 | 1 | no | — |
| 80 | C2×#11765849 | C23 | 1 | 1 | yes | characteristic |
| 81 | C2×#11765849 | C23 | 1 | 1 | yes | characteristic |
| 82 | C2×#11765849 | C23 | 1 | 1 | yes | characteristic |
| 83 | C22×C71⋊C8 | — | 2 | 1 | no | — |
| 84 | C22×C71⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 85 | #14556115 | — | 4 | 1 | no | — |
| 86 | #14556115 | C2×C4 | 1 | 4 | yes | complemented |
| 87 | Q8×Dic71 | — | 2 | 1 | no | — |
| 88 | C4×Dic142 | — | 2 | 1 | no | — |
| 89 | C4×Dic142 | — | 2 | 1 | no | — |
| 90 | #14556093 | — | 2 | 1 | no | — |
| 91 | #14556093 | — | 2 | 1 | no | — |
| 92 | D4×Dic71 | — | 2 | 1 | no | — |
| 93 | D4×Dic71 | — | 4 | 1 | no | — |
| 94 | #14556087 | — | 2 | 1 | no | — |
| 95 | #14556087 | C23 | 1 | 1 | yes | characteristic |
| 96 | #14556084 | — | 4 | 1 | no | — |
| 97 | C2×C4⋊Dic71 | — | 2 | 1 | no | — |
| 98 | C2×C4⋊Dic71 | C23 | 1 | 1 | yes | characteristic |
| 99 | C2×Dic71⋊C4 | — | 4 | 1 | no | — |
| 100 | C2×C22⋊Dic71 | — | 4 | 1 | no | — |
| 101 | C2×C4×Dic71 | C23 | 1 | 1 | yes | characteristic |
| 102 | #14556061 | — | 2 | 1 | no | — |
| 103 | #14556061 | — | 2 | 1 | no | — |
| 104 | #14556059 | — | 2 | 1 | no | — |
| 105 | #14556059 | — | 2 | 1 | no | — |
| 106 | #14556055 | C2×C4 | 1 | 4 | yes | complemented |
| 107 | #14556055 | C2×C4 | 1 | 4 | yes | complemented |
| 108 | #14556053 | — | 2 | 1 | no | — |
| 109 | #14556053 | — | 2 | 1 | no | — |
| 110 | #14556052 | — | 2 | 1 | no | — |
| 111 | #14556052 | D4 | 1 | 1 | yes | characteristic |
| 112 | #14556052 | D4 | 1 | 1 | yes | characteristic |
| 113 | #14556051 | — | 2 | 1 | no | — |
| 114 | #14556051 | — | 2 | 1 | no | — |
| 115 | #14556049 | — | 2 | 1 | no | — |
| 116 | #14556049 | — | 2 | 1 | no | — |
| 117 | #14556049 | — | 2 | 1 | no | — |
| 118 | #14556049 | — | 2 | 1 | no | — |
| 119 | #14556049 | — | 2 | 1 | no | — |
| 120 | #14556049 | D4 | 1 | 1 | yes | characteristic |
| 121 | #14556049 | D4 | 1 | 1 | yes | characteristic |
| 122 | #14556046 | — | 4 | 1 | no | — |
| 123 | #14556045 | C2×C4 | 1 | 4 | yes | complemented |
| 124 | #14556039 | — | 2 | 1 | no | — |
| 125 | #14556038 | — | 2 | 1 | no | — |
| 126 | #14556038 | — | 4 | 1 | no | — |
| 127 | C4×C71⋊C8 | — | 2 | 1 | no | — |
| 128 | C8×Dic71 | — | 2 | 1 | no | — |
| 129 | H(5,𝔽2)×C71 | — | 2 | 2 | no | — |
| 130 | H(5,𝔽2)×C71 | — | 2 | 2 | no | — |
| 131 | H(5,𝔽2)×C71 | — | 4 | 1 | no | — |
| 132 | H(5,𝔽2)×C71 | C2×C4 | 1 | 4 | yes | — |
| 133 | C2×#41×C71 | — | 2 | 1 | no | — |
| 134 | C2×#41×C71 | — | 2 | 1 | no | — |
| 135 | C2×#41×C71 | C23 | 1 | 1 | yes | characteristic |
| 136 | C2×#41×C71 | C23 | 1 | 1 | yes | characteristic |
| 137 | C22×D4×C71 | — | 2 | 1 | no | — |
| 138 | C22×D4×C71 | — | 2 | 1 | no | — |
| 139 | C22×D4×C71 | — | 4 | 1 | no | — |
| 140 | C22×D4×C71 | C23 | 1 | 1 | yes | characteristic |
| 141 | #131×C71 | — | 2 | 2 | no | — |
| 142 | #131×C71 | — | 4 | 1 | no | — |
| 143 | C2×M16×C71 | — | 2 | 1 | no | — |
| 144 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 145 | C22×C8×C71 | — | 2 | 1 | no | — |
| 146 | C22×C8×C71 | C23 | 1 | 1 | yes | characteristic |
| 147 | C4×Q8×C71 | — | 2 | 1 | no | — |
| 148 | C4×D4×C71 | — | 2 | 1 | no | — |
| 149 | C4×D4×C71 | — | 4 | 1 | no | — |
| 150 | #117×C71 | — | 2 | 1 | no | — |
| 151 | #117×C71 | C23 | 1 | 1 | yes | characteristic |
| 152 | C2×C4⋊C4×C71 | — | 2 | 1 | no | — |
| 153 | C2×C4⋊C4×C71 | C23 | 1 | 1 | yes | characteristic |
| 154 | #103×C71 | — | 2 | 1 | no | — |
| 155 | #103×C71 | D4 | 1 | 1 | yes | characteristic |
| 156 | #103×C71 | D4 | 1 | 1 | yes | characteristic |
| 157 | #102×C71 | — | 2 | 1 | no | — |
| 158 | #102×C71 | — | 2 | 1 | no | — |
| 159 | #102×C71 | — | 2 | 1 | no | — |
| 160 | #102×C71 | — | 2 | 1 | no | — |
| 161 | #102×C71 | — | 2 | 1 | no | — |
| 162 | #102×C71 | D4 | 1 | 1 | yes | characteristic |
| 163 | #102×C71 | D4 | 1 | 1 | yes | characteristic |
| 164 | C2×Dic142 | — | 2 | 1 | no | — |
| 165 | C2×Dic142 | — | 2 | 1 | no | — |
| 166 | C2×Dic142 | — | 2 | 1 | no | — |
| 167 | C2×Dic142 | — | 2 | 1 | no | — |
| 168 | C2×Dic142 | — | 2 | 1 | no | — |
| 169 | C2×Dic142 | C22×C4 | 1 | 2 | yes | — |
| 170 | C22×Dic71 | — | 2 | 1 | no | — |
| 171 | C22×Dic71 | — | 2 | 1 | no | — |
| 172 | C22×Dic71 | — | 2 | 1 | no | — |
| 173 | C22×Dic71 | — | 4 | 1 | no | — |
| 174 | #11765855 | — | 2 | 4 | no | — |
| 175 | #11765855 | — | 2 | 4 | no | — |
| 176 | #11765853 | — | 2 | 4 | no | — |
| 177 | #11765853 | — | 2 | 4 | no | — |
| 178 | #11765849 | — | 2 | 1 | no | — |
| 179 | #11765849 | — | 2 | 1 | no | — |
| 180 | #11765849 | — | 2 | 1 | no | — |
| 181 | #11765849 | — | 2 | 1 | no | — |
| 182 | #11765849 | — | 4 | 2 | no | — |
| 183 | #11765849 | C22×C4 | 1 | 2 | yes | — |
| 184 | #11765849 | C22×C4 | 1 | 2 | yes | — |
| 185 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 186 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 187 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 188 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 189 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 190 | C2×C71⋊C8 | — | 4 | 2 | no | — |
| 191 | C2×C71⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 192 | C2×C71⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 193 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 194 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 195 | C4⋊Dic71 | — | 4 | 1 | no | — |
| 196 | C4⋊Dic71 | C2×D4 | 1 | 1 | yes | characteristic |
| 197 | C4⋊Dic71 | C2×D4 | 1 | 1 | yes | characteristic |
| 198 | Dic71⋊C4 | — | 4 | 1 | no | — |
| 199 | Dic71⋊C4 | — | 4 | 1 | no | — |
| 200 | Dic71⋊C4 | — | 8 | 2 | no | — |
| 201 | C22⋊Dic71 | — | 2 | 1 | no | — |
| 202 | C22⋊Dic71 | — | 4 | 4 | no | — |
| 203 | C22⋊Dic71 | — | 4 | 1 | no | — |
| 204 | C4×Dic71 | — | 2 | 1 | no | — |
| 205 | C4×Dic71 | — | 2 | 1 | no | — |
| 206 | C4×Dic71 | — | 4 | 1 | no | — |
| 207 | C4×Dic71 | — | 4 | 1 | no | — |
| 208 | C4×Dic71 | — | 4 | 1 | no | — |
| 209 | C4×Dic71 | C22×C4 | 1 | 2 | yes | — |
| 210 | C24×C71 | — | 2 | 1 | no | — |
| 211 | C24×C71 | — | 4 | 1 | no | — |
| 212 | #41×C71 | — | 2 | 1 | no | — |
| 213 | #41×C71 | — | 2 | 1 | no | — |
| 214 | #41×C71 | — | 2 | 1 | no | — |
| 215 | #41×C71 | — | 2 | 1 | no | — |
| 216 | #41×C71 | — | 2 | 4 | no | — |
| 217 | #41×C71 | — | 2 | 4 | no | — |
| 218 | #41×C71 | — | 4 | 2 | no | — |
| 219 | #41×C71 | — | 4 | 2 | no | — |
| 220 | #41×C71 | C22×C4 | 1 | 2 | yes | — |
| 221 | #41×C71 | C22×C4 | 1 | 2 | yes | — |
| 222 | #41×C71 | #41 | 1 | 2 | yes | — |
| 223 | #41×C71 | #41 | 1 | 2 | yes | — |
| 224 | C2×Q8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 225 | C2×Q8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 226 | C2×D4×C71 | — | 2 | 1 | no | — |
| 227 | C2×D4×C71 | — | 2 | 1 | no | — |
| 228 | C2×D4×C71 | — | 2 | 4 | no | — |
| 229 | C2×D4×C71 | — | 2 | 4 | no | — |
| 230 | C2×D4×C71 | — | 2 | 1 | no | — |
| 231 | C2×D4×C71 | — | 2 | 1 | no | — |
| 232 | C2×D4×C71 | — | 2 | 1 | no | — |
| 233 | C2×D4×C71 | — | 2 | 1 | no | — |
| 234 | C2×D4×C71 | — | 2 | 1 | no | — |
| 235 | C2×D4×C71 | — | 4 | 2 | no | — |
| 236 | C2×D4×C71 | — | 4 | 2 | no | — |
| 237 | C2×D4×C71 | — | 4 | 1 | no | — |
| 238 | C2×D4×C71 | — | 4 | 1 | no | — |
| 239 | C2×D4×C71 | — | 4 | 4 | no | — |
| 240 | C2×D4×C71 | — | 4 | 4 | no | — |
| 241 | C2×D4×C71 | C22×C4 | 1 | 2 | yes | — |
| 242 | C2×D4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 243 | C2×D4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | C22×C4×C71 | — | 2 | 1 | no | — |
| 245 | C22×C4×C71 | — | 2 | 1 | no | — |
| 246 | C22×C4×C71 | — | 2 | 1 | no | — |
| 247 | C22×C4×C71 | — | 4 | 1 | no | — |
| 248 | C22×C4×C71 | — | 4 | 1 | no | — |
| 249 | C22×C4×C71 | C24 | 1 | 1 | yes | characteristic |
| 250 | M16×C71 | — | 2 | 1 | no | — |
| 251 | M16×C71 | — | 2 | 1 | no | — |
| 252 | M16×C71 | — | 4 | 2 | no | — |
| 253 | C2×C8×C71 | — | 2 | 1 | no | — |
| 254 | C2×C8×C71 | — | 2 | 1 | no | — |
| 255 | C2×C8×C71 | — | 2 | 1 | no | — |
| 256 | C2×C8×C71 | — | 4 | 2 | no | — |
| 257 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 258 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 259 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 260 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 261 | C4⋊C4×C71 | — | 4 | 1 | no | — |
| 262 | C4⋊C4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 263 | C4⋊C4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 264 | C22⋊C4×C71 | — | 2 | 1 | no | — |
| 265 | C22⋊C4×C71 | — | 4 | 1 | no | — |
| 266 | C42×C71 | — | 2 | 1 | no | — |
| 267 | C42×C71 | — | 4 | 1 | no | — |
| 268 | C23×C71 | — | 2 | 1 | no | — |
| 269 | C23×C71 | — | 2 | 1 | no | — |
| 270 | C23×C71 | — | 2 | 2 | no | — |
| 271 | C23×C71 | — | 4 | 4 | no | — |
| 272 | C23×C71 | — | 4 | 1 | no | — |
| 273 | C23×C71 | — | 4 | 1 | no | — |
| 274 | C23×C71 | — | 8 | 1 | no | — |
| 275 | C23×C71 | — | 8 | 1 | no | — |
| 276 | C23×C71 | — | 16 | 1 | no | — |
| 277 | C23×C71 | — | 16 | 1 | no | — |
| 278 | C23×C71 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 279 | Q8×C71 | — | 2 | 1 | no | — |
| 280 | Q8×C71 | — | 2 | 1 | no | — |
| 281 | Q8×C71 | C4×D4 | 1 | 2 | yes | — |
| 282 | Q8×C71 | C4×D4 | 1 | 2 | yes | — |
| 283 | D4×C71 | — | 2 | 2 | no | — |
| 284 | D4×C71 | — | 2 | 2 | no | — |
| 285 | D4×C71 | — | 2 | 2 | no | — |
| 286 | D4×C71 | — | 2 | 2 | no | — |
| 287 | D4×C71 | — | 2 | 2 | no | — |
| 288 | D4×C71 | — | 2 | 2 | no | — |
| 289 | D4×C71 | — | 2 | 1 | no | — |
| 290 | D4×C71 | — | 2 | 1 | no | — |
| 291 | D4×C71 | — | 4 | 4 | no | — |
| 292 | D4×C71 | — | 4 | 4 | no | — |
| 293 | D4×C71 | — | 4 | 1 | no | — |
| 294 | D4×C71 | — | 4 | 1 | no | — |
| 295 | D4×C71 | C4×D4 | 1 | 2 | yes | — |
| 296 | D4×C71 | C4×D4 | 1 | 2 | yes | — |
| 297 | C2×C4×C71 | — | 2 | 1 | no | — |
| 298 | C2×C4×C71 | — | 2 | 1 | no | — |
| 299 | C2×C4×C71 | — | 2 | 2 | no | — |
| 300 | C2×C4×C71 | — | 2 | 2 | no | — |
| 301 | C2×C4×C71 | — | 2 | 2 | no | — |
| 302 | C2×C4×C71 | — | 2 | 2 | no | — |
| 303 | C2×C4×C71 | — | 2 | 1 | no | — |
| 304 | C2×C4×C71 | — | 2 | 1 | no | — |
| 305 | C2×C4×C71 | — | 4 | 4 | no | — |
| 306 | C2×C4×C71 | — | 4 | 1 | no | — |
| 307 | C2×C4×C71 | — | 8 | 1 | no | — |
| 308 | C2×C4×C71 | — | 16 | 1 | no | — |
| 309 | C2×C4×C71 | C23×C4 | 1 | 1 | yes | characteristic |
| 310 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 311 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 312 | C2×C4×C71 | C2×#41 | 1 | 1 | yes | characteristic |
| 313 | C2×C4×C71 | C2×#41 | 1 | 1 | yes | characteristic |
| 314 | C2×C4×C71 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 315 | C2×Dic71 | — | 2 | 2 | no | — |
| 316 | C2×Dic71 | — | 2 | 2 | no | — |
| 317 | C2×Dic71 | — | 2 | 1 | no | — |
| 318 | C2×Dic71 | — | 2 | 1 | no | — |
| 319 | C2×Dic71 | — | 4 | 1 | no | — |
| 320 | C2×Dic71 | — | 4 | 1 | no | — |
| 321 | C2×Dic71 | — | 4 | 1 | no | — |
| 322 | C2×Dic71 | — | 4 | 1 | no | — |
| 323 | C2×Dic71 | — | 4 | 1 | no | — |
| 324 | C2×Dic71 | — | 8 | 1 | no | — |
| 325 | C2×Dic71 | — | 16 | 1 | no | — |
| 326 | Dic142 | — | 2 | 2 | no | — |
| 327 | Dic142 | — | 2 | 2 | no | — |
| 328 | Dic142 | — | 4 | 1 | no | — |
| 329 | Dic142 | — | 4 | 1 | no | — |
| 330 | C8×C71 | — | 2 | 1 | no | — |
| 331 | C8×C71 | — | 2 | 1 | no | — |
| 332 | C8×C71 | — | 4 | 1 | no | — |
| 333 | C71⋊C8 | — | 2 | 2 | no | — |
| 334 | C71⋊C8 | — | 2 | 2 | no | — |
| 335 | C71⋊C8 | — | 2 | 1 | no | — |
| 336 | C71⋊C8 | — | 2 | 1 | no | — |
| 337 | C71⋊C8 | — | 4 | 1 | no | — |
| 338 | C22×C71 | — | 2 | 1 | no | — |
| 339 | C22×C71 | — | 2 | 1 | no | — |
| 340 | C22×C71 | — | 2 | 2 | no | — |
| 341 | C22×C71 | — | 2 | 2 | no | — |
| 342 | C22×C71 | — | 4 | 1 | no | — |
| 343 | C22×C71 | — | 4 | 1 | no | — |
| 344 | C22×C71 | — | 4 | 1 | no | — |
| 345 | C22×C71 | — | 4 | 1 | no | — |
| 346 | C22×C71 | — | 4 | 2 | no | — |
| 347 | C22×C71 | — | 8 | 2 | no | — |
| 348 | C22×C71 | — | 8 | 1 | no | — |
| 349 | C22×C71 | — | 8 | 1 | no | — |
| 350 | C22×C71 | — | 16 | 1 | no | — |
| 351 | C22×C71 | — | 16 | 4 | no | — |
| 352 | C22×C71 | #518 | 1 | 1 | yes | characteristic |
| 353 | C22×C71 | D42 | 1 | 1 | yes | characteristic |
| 354 | C22×C71 | #551 | 1 | 1 | yes | characteristic |
| 355 | C4×C71 | — | 2 | 2 | no | — |
| 356 | C4×C71 | — | 2 | 2 | no | — |
| 357 | C4×C71 | — | 4 | 1 | no | — |
| 358 | C4×C71 | — | 4 | 1 | no | — |
| 359 | C4×C71 | — | 8 | 1 | no | — |
| 360 | C4×C71 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 361 | C4×C71 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 362 | C4×C71 | #546 | 1 | 1 | yes | characteristic |
| 363 | C4×C71 | #546 | 1 | 1 | yes | characteristic |
| 364 | Dic71 | — | 4 | 2 | no | — |
| 365 | Dic71 | — | 4 | 2 | no | — |
| 366 | Dic71 | — | 4 | 1 | no | — |
| 367 | Dic71 | — | 4 | 1 | no | — |
| 368 | Dic71 | — | 8 | 1 | no | — |
| 369 | #22890 | — | 71 | 1 | no | maximal, Sylow |
| 370 | C2×C71 | — | 2 | 1 | no | — |
| 371 | C2×C71 | — | 2 | 1 | no | — |
| 372 | C2×C71 | — | 4 | 2 | no | — |
| 373 | C2×C71 | — | 4 | 2 | no | — |
| 374 | C2×C71 | — | 8 | 2 | no | — |
| 375 | C2×C71 | #2358 | 1 | 1 | yes | characteristic |
| 376 | C2×C71 | #3288 | 1 | 1 | yes | characteristic |
| 377 | C2×C71 | #3289 | 1 | 1 | yes | characteristic |
| 378 | C2×#455 | — | 71 | 1 | no | — |
| 379 | #2947 | — | 71 | 1 | no | — |
| 380 | #2947 | — | 71 | 1 | no | — |
| 381 | #2897 | — | 71 | 1 | no | — |
| 382 | #2897 | D71 | 1 | 1 | yes | characteristic |
| 383 | #1959 | — | 71 | 1 | no | — |
| 384 | #1931 | — | 71 | 1 | no | — |
| 385 | #1931 | — | 71 | 1 | no | — |
| 386 | #1908 | — | 71 | 1 | no | — |
| 387 | #1908 | — | 71 | 1 | no | — |
| 388 | #1888 | — | 71 | 1 | no | — |
| 389 | #1859 | — | 71 | 1 | no | — |
| 390 | #1859 | — | 71 | 1 | no | — |
| 391 | #1765 | — | 71 | 1 | no | — |
| 392 | #1765 | — | 71 | 1 | no | — |
| 393 | C71 | #22890 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 394 | C2×H(5,𝔽2) | C2×D71 | 1 | 1 | yes | characteristic |
| 395 | C2×#137 | — | 71 | 1 | no | — |
| 396 | C2×#137 | — | 71 | 1 | no | — |
| 397 | C2×#131 | — | 71 | 1 | no | — |
| 398 | C2×#131 | C2×D71 | 1 | 1 | yes | characteristic |
| 399 | C2×#124 | — | 71 | 1 | no | — |
| 400 | #520 | — | 71 | 1 | no | — |
| 401 | #520 | C2×D71 | 1 | 1 | yes | characteristic |
| 402 | #519 | — | 71 | 1 | no | — |
| 403 | #455 | — | 71 | 8 | no | — |
| 404 | #441 | — | 142 | 1 | no | — |
| 405 | #441 | — | 142 | 1 | no | — |
| 406 | #440 | — | 142 | 1 | no | — |
| 407 | #440 | — | 142 | 1 | no | — |
| 408 | C4×Q16 | — | 142 | 1 | no | — |
| 409 | C4×Q16 | — | 142 | 1 | no | — |
| 410 | C4×SD16 | — | 142 | 1 | no | — |
| 411 | C4×SD16 | — | 142 | 1 | no | — |
| 412 | #428 | — | 71 | 1 | no | — |
| 413 | #428 | — | 71 | 1 | no | — |
| 414 | C2×#104 | — | 71 | 1 | no | — |
| 415 | C2×#104 | — | 71 | 1 | no | — |
| 416 | #418 | — | 2 | 1 | no | — |
| 417 | #418 | — | 71 | 1 | no | — |
| 418 | #418 | — | 142 | 1 | no | — |
| 419 | #418 | C2×D71 | 1 | 1 | yes | characteristic |
| 420 | #417 | — | 2 | 1 | no | — |
| 421 | #417 | — | 71 | 1 | no | — |
| 422 | #417 | — | 142 | 1 | no | — |
| 423 | #417 | C2×D71 | 1 | 1 | yes | characteristic |
| 424 | #416 | — | 2 | 1 | no | — |
| 425 | #416 | — | 71 | 1 | no | — |
| 426 | #416 | — | 142 | 1 | no | — |
| 427 | #416 | C2×D71 | 1 | 1 | yes | characteristic |
| 428 | C2×#103 | — | 71 | 1 | no | — |
| 429 | C2×#103 | — | 71 | 1 | no | — |
| 430 | C2×#102 | — | 2 | 1 | no | — |
| 431 | C2×#102 | — | 71 | 1 | no | — |
| 432 | C2×#102 | — | 142 | 1 | no | — |
| 433 | C2×#102 | C2×D71 | 1 | 1 | yes | characteristic |
| 434 | C2×#101 | — | 71 | 1 | no | — |
| 435 | C2×#100 | — | 71 | 1 | no | — |
| 436 | #405 | — | 71 | 1 | no | — |
| 437 | #405 | — | 71 | 1 | no | — |
| 438 | C2×#97 | — | 71 | 1 | no | — |
| 439 | #384 | — | 71 | 1 | no | — |
| 440 | #343 | — | 71 | 1 | no | — |
| 441 | #343 | — | 71 | 1 | no | — |
| 442 | #341 | — | 71 | 1 | no | — |
| 443 | #341 | — | 71 | 1 | no | — |
| 444 | #339 | — | 71 | 1 | no | — |
| 445 | #339 | — | 71 | 1 | no | — |
| 446 | H(5,𝔽2) | — | 2 | 2 | no | — |
| 447 | H(5,𝔽2) | — | 2 | 2 | no | — |
| 448 | H(5,𝔽2) | — | 4 | 1 | no | — |
| 449 | H(5,𝔽2) | C4×D71 | 1 | 4 | yes | — |
| 450 | C2×#41 | — | 2 | 1 | no | — |
| 451 | C2×#41 | — | 2 | 1 | no | — |
| 452 | C2×#41 | C22×D71 | 1 | 1 | yes | characteristic |
| 453 | C2×#41 | C22×D71 | 1 | 1 | yes | characteristic |
| 454 | C22×Q8 | — | 71 | 1 | no | — |
| 455 | C22×D4 | — | 2 | 1 | no | — |
| 456 | C22×D4 | — | 2 | 1 | no | — |
| 457 | C22×D4 | — | 4 | 1 | no | — |
| 458 | C22×D4 | C22×D71 | 1 | 1 | yes | characteristic |
| 459 | #137 | — | 71 | 4 | no | — |
| 460 | #137 | — | 71 | 4 | no | — |
| 461 | #137 | — | 142 | 2 | no | — |
| 462 | #137 | — | 142 | 2 | no | — |
| 463 | C2×Q16 | — | 142 | 1 | no | — |
| 464 | C2×Q16 | — | 142 | 1 | no | — |
| 465 | C2×SD16 | — | 142 | 1 | no | — |
| 466 | C2×SD16 | — | 142 | 1 | no | — |
| 467 | #131 | — | 2 | 2 | no | — |
| 468 | #131 | — | 4 | 1 | no | — |
| 469 | #131 | — | 284 | 1 | no | — |
| 470 | #131 | — | 142 | 2 | no | — |
| 471 | C2×M16 | — | 2 | 1 | no | — |
| 472 | C2×M16 | — | 71 | 1 | no | — |
| 473 | C2×M16 | — | 71 | 1 | no | — |
| 474 | C2×M16 | — | 71 | 1 | no | — |
| 475 | C2×M16 | — | 142 | 1 | no | — |
| 476 | C2×M16 | C22×D71 | 1 | 1 | yes | characteristic |
| 477 | C22×C8 | — | 2 | 1 | no | — |
| 478 | C22×C8 | — | 71 | 1 | no | — |
| 479 | C22×C8 | — | 142 | 1 | no | — |
| 480 | C22×C8 | C22×D71 | 1 | 1 | yes | characteristic |
| 481 | #124 | — | 284 | 1 | no | — |
| 482 | #124 | — | 71 | 4 | no | — |
| 483 | C4×Q8 | — | 2 | 1 | no | — |
| 484 | C4×Q8 | — | 142 | 1 | no | — |
| 485 | C4×Q8 | — | 142 | 1 | no | — |
| 486 | C4×Q8 | — | 142 | 1 | no | — |
| 487 | C4×Q8 | — | 142 | 1 | no | — |
| 488 | C4×Q8 | — | 142 | 1 | no | — |
| 489 | C4×D4 | — | 2 | 1 | no | — |
| 490 | C4×D4 | — | 4 | 1 | no | — |
| 491 | C4×D4 | — | 284 | 1 | no | — |
| 492 | C4×D4 | — | 142 | 1 | no | — |
| 493 | #117 | — | 2 | 1 | no | — |
| 494 | #117 | — | 284 | 1 | no | — |
| 495 | #117 | — | 71 | 1 | no | — |
| 496 | #117 | — | 142 | 1 | no | — |
| 497 | #117 | C22×D71 | 1 | 1 | yes | characteristic |
| 498 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 499 | C2×C4⋊C4 | — | 284 | 1 | no | — |
| 500 | C2×C4⋊C4 | — | 71 | 1 | no | — |
| 501 | C2×C4⋊C4 | — | 142 | 1 | no | — |
| 502 | C2×C4⋊C4 | C22×D71 | 1 | 1 | yes | characteristic |
| 503 | C2×C22⋊C4 | — | 284 | 1 | no | — |
| 504 | C2×C42 | — | 71 | 1 | no | — |
| 505 | #107 | — | 142 | 1 | no | — |
| 506 | #107 | — | 142 | 1 | no | — |
| 507 | #106 | — | 142 | 1 | no | — |
| 508 | #106 | — | 142 | 1 | no | — |
| 509 | #104 | — | 71 | 4 | no | — |
| 510 | #104 | — | 71 | 4 | no | — |
| 511 | #103 | — | 2 | 1 | no | — |
| 512 | #103 | — | 71 | 1 | no | — |
| 513 | #103 | — | 71 | 1 | no | — |
| 514 | #103 | — | 142 | 1 | no | — |
| 515 | #103 | — | 142 | 1 | no | — |
| 516 | #103 | — | 142 | 1 | no | — |
| 517 | #103 | — | 142 | 1 | no | — |
| 518 | #103 | — | 142 | 1 | no | — |
| 519 | #103 | C22⋊D71 | 1 | 1 | yes | characteristic |
| 520 | #103 | C22⋊D71 | 1 | 1 | yes | characteristic |
| 521 | #102 | — | 2 | 1 | no | — |
| 522 | #102 | — | 2 | 1 | no | — |
| 523 | #102 | — | 2 | 1 | no | — |
| 524 | #102 | — | 2 | 1 | no | — |
| 525 | #102 | — | 2 | 1 | no | — |
| 526 | #102 | — | 71 | 1 | no | — |
| 527 | #102 | — | 71 | 1 | no | — |
| 528 | #102 | — | 142 | 1 | no | — |
| 529 | #102 | — | 142 | 1 | no | — |
| 530 | #102 | — | 142 | 1 | no | — |
| 531 | #102 | — | 142 | 1 | no | — |
| 532 | #102 | — | 142 | 1 | no | — |
| 533 | #102 | C22⋊D71 | 1 | 1 | yes | characteristic |
| 534 | #102 | C22⋊D71 | 1 | 1 | yes | characteristic |
| 535 | #101 | — | 284 | 1 | no | — |
| 536 | #100 | — | 71 | 4 | no | — |
| 537 | #97 | — | 284 | 1 | no | — |
| 538 | #97 | — | 142 | 1 | no | — |
| 539 | #97 | — | 142 | 1 | no | — |
| 540 | C4×C8 | — | 142 | 1 | no | — |
| 541 | C4×C8 | — | 142 | 1 | no | — |
| 542 | C24 | — | 2 | 1 | no | — |
| 543 | C24 | — | 4 | 1 | no | — |
| 544 | #41 | — | 2 | 1 | no | — |
| 545 | #41 | — | 2 | 1 | no | — |
| 546 | #41 | — | 2 | 1 | no | — |
| 547 | #41 | — | 2 | 1 | no | — |
| 548 | #41 | — | 2 | 4 | no | — |
| 549 | #41 | — | 2 | 4 | no | — |
| 550 | #41 | — | 4 | 2 | no | — |
| 551 | #41 | — | 4 | 2 | no | — |
| 552 | #41 | C2×C4×D71 | 1 | 2 | yes | — |
| 553 | #41 | C2×C4×D71 | 1 | 2 | yes | — |
| 554 | #41 | #11765864 | 1 | 2 | yes | — |
| 555 | #41 | #11765865 | 1 | 2 | yes | — |
| 556 | C2×Q8 | — | 71 | 2 | no | — |
| 557 | C2×Q8 | — | 142 | 1 | no | — |
| 558 | C2×Q8 | — | 142 | 1 | no | — |
| 559 | C2×Q8 | — | 142 | 1 | no | — |
| 560 | C2×Q8 | — | 142 | 1 | no | — |
| 561 | C2×Q8 | — | 142 | 1 | no | — |
| 562 | C2×Q8 | D4×D71 | 1 | 1 | yes | characteristic |
| 563 | C2×Q8 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 564 | C2×D4 | — | 2 | 1 | no | — |
| 565 | C2×D4 | — | 2 | 1 | no | — |
| 566 | C2×D4 | — | 2 | 4 | no | — |
| 567 | C2×D4 | — | 2 | 4 | no | — |
| 568 | C2×D4 | — | 2 | 1 | no | — |
| 569 | C2×D4 | — | 2 | 1 | no | — |
| 570 | C2×D4 | — | 2 | 1 | no | — |
| 571 | C2×D4 | — | 2 | 1 | no | — |
| 572 | C2×D4 | — | 2 | 1 | no | — |
| 573 | C2×D4 | — | 4 | 2 | no | — |
| 574 | C2×D4 | — | 4 | 2 | no | — |
| 575 | C2×D4 | — | 4 | 1 | no | — |
| 576 | C2×D4 | — | 4 | 1 | no | — |
| 577 | C2×D4 | — | 4 | 4 | no | — |
| 578 | C2×D4 | — | 4 | 4 | no | — |
| 579 | C2×D4 | C2×C4×D71 | 1 | 2 | yes | — |
| 580 | C2×D4 | D4×D71 | 1 | 1 | yes | characteristic |
| 581 | C2×D4 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 582 | C22×C4 | — | 2 | 1 | no | — |
| 583 | C22×C4 | — | 2 | 1 | no | — |
| 584 | C22×C4 | — | 2 | 1 | no | — |
| 585 | C22×C4 | — | 4 | 1 | no | — |
| 586 | C22×C4 | — | 4 | 1 | no | — |
| 587 | C22×C4 | — | 284 | 1 | no | — |
| 588 | C22×C4 | — | 142 | 1 | no | — |
| 589 | C22×C4 | — | 142 | 1 | no | — |
| 590 | C22×C4 | — | 142 | 1 | no | — |
| 591 | C22×C4 | C23×D71 | 1 | 1 | yes | characteristic |
| 592 | Q16 | — | 142 | 4 | no | — |
| 593 | Q16 | — | 142 | 4 | no | — |
| 594 | SD16 | — | 142 | 4 | no | — |
| 595 | SD16 | — | 142 | 4 | no | — |
| 596 | M16 | — | 2 | 1 | no | — |
| 597 | M16 | — | 2 | 1 | no | — |
| 598 | M16 | — | 4 | 2 | no | — |
| 599 | M16 | — | 284 | 2 | no | — |
| 600 | M16 | — | 71 | 2 | no | — |
| 601 | M16 | — | 71 | 2 | no | — |
| 602 | M16 | — | 142 | 1 | no | — |
| 603 | M16 | — | 142 | 1 | no | — |
| 604 | M16 | — | 142 | 1 | no | — |
| 605 | M16 | — | 142 | 1 | no | — |
| 606 | C2×C8 | — | 2 | 1 | no | — |
| 607 | C2×C8 | — | 2 | 1 | no | — |
| 608 | C2×C8 | — | 2 | 1 | no | — |
| 609 | C2×C8 | — | 4 | 2 | no | — |
| 610 | C2×C8 | — | 284 | 2 | no | — |
| 611 | C2×C8 | — | 71 | 1 | no | — |
| 612 | C2×C8 | — | 71 | 1 | no | — |
| 613 | C2×C8 | — | 142 | 1 | no | — |
| 614 | C2×C8 | — | 142 | 1 | no | — |
| 615 | C2×C8 | — | 142 | 1 | no | — |
| 616 | C2×C8 | — | 142 | 1 | no | — |
| 617 | C2×C8 | — | 142 | 1 | no | — |
| 618 | C2×C8 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 619 | C2×C8 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 620 | C4⋊C4 | — | 2 | 1 | no | — |
| 621 | C4⋊C4 | — | 2 | 1 | no | — |
| 622 | C4⋊C4 | — | 4 | 1 | no | — |
| 623 | C4⋊C4 | — | 284 | 1 | no | — |
| 624 | C4⋊C4 | — | 284 | 1 | no | — |
| 625 | C4⋊C4 | — | 284 | 1 | no | — |
| 626 | C4⋊C4 | — | 568 | 2 | no | — |
| 627 | C4⋊C4 | — | 71 | 1 | no | — |
| 628 | C4⋊C4 | — | 71 | 1 | no | — |
| 629 | C4⋊C4 | — | 142 | 1 | no | — |
| 630 | C4⋊C4 | — | 142 | 1 | no | — |
| 631 | C4⋊C4 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 632 | C4⋊C4 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 633 | C22⋊C4 | — | 2 | 1 | no | — |
| 634 | C22⋊C4 | — | 4 | 1 | no | — |
| 635 | C22⋊C4 | — | 284 | 1 | no | — |
| 636 | C22⋊C4 | — | 284 | 4 | no | — |
| 637 | C22⋊C4 | — | 142 | 1 | no | — |
| 638 | C42 | — | 2 | 1 | no | — |
| 639 | C42 | — | 4 | 1 | no | — |
| 640 | C42 | — | 284 | 1 | no | — |
| 641 | C42 | — | 284 | 1 | no | — |
| 642 | C42 | — | 284 | 1 | no | — |
| 643 | C42 | — | 71 | 2 | no | — |
| 644 | C42 | — | 142 | 1 | no | — |
| 645 | C42 | — | 142 | 1 | no | — |
| 646 | C23 | — | 2 | 1 | no | — |
| 647 | C23 | — | 2 | 1 | no | — |
| 648 | C23 | — | 2 | 2 | no | — |
| 649 | C23 | — | 4 | 4 | no | — |
| 650 | C23 | — | 4 | 1 | no | — |
| 651 | C23 | — | 4 | 1 | no | — |
| 652 | C23 | — | 8 | 1 | no | — |
| 653 | C23 | — | 8 | 1 | no | — |
| 654 | C23 | — | 16 | 1 | no | — |
| 655 | C23 | — | 16 | 1 | no | — |
| 656 | C23 | #14556173 | 1 | 1 | yes | characteristic |
| 657 | Q8 | — | 2 | 1 | no | — |
| 658 | Q8 | — | 2 | 1 | no | — |
| 659 | Q8 | — | 284 | 1 | no | — |
| 660 | Q8 | — | 284 | 1 | no | — |
| 661 | Q8 | — | 142 | 2 | no | — |
| 662 | Q8 | — | 142 | 2 | no | — |
| 663 | Q8 | (C22⋊D71)⋊C4 | 1 | 2 | yes | — |
| 664 | Q8 | C4×C22⋊D71 | 1 | 2 | yes | — |
| 665 | D4 | — | 2 | 2 | no | — |
| 666 | D4 | — | 2 | 2 | no | — |
| 667 | D4 | — | 2 | 2 | no | — |
| 668 | D4 | — | 2 | 2 | no | — |
| 669 | D4 | — | 2 | 1 | no | — |
| 670 | D4 | — | 2 | 1 | no | — |
| 671 | D4 | — | 2 | 2 | no | — |
| 672 | D4 | — | 2 | 2 | no | — |
| 673 | D4 | — | 4 | 4 | no | — |
| 674 | D4 | — | 4 | 4 | no | — |
| 675 | D4 | — | 4 | 1 | no | — |
| 676 | D4 | — | 4 | 1 | no | — |
| 677 | D4 | (C22⋊D71)⋊C4 | 1 | 2 | yes | — |
| 678 | D4 | C4×C22⋊D71 | 1 | 2 | yes | — |
| 679 | C2×C4 | — | 2 | 1 | no | — |
| 680 | C2×C4 | — | 2 | 1 | no | — |
| 681 | C2×C4 | — | 2 | 2 | no | — |
| 682 | C2×C4 | — | 2 | 2 | no | — |
| 683 | C2×C4 | — | 2 | 2 | no | — |
| 684 | C2×C4 | — | 2 | 2 | no | — |
| 685 | C2×C4 | — | 2 | 1 | no | — |
| 686 | C2×C4 | — | 2 | 1 | no | — |
| 687 | C2×C4 | — | 4 | 4 | no | — |
| 688 | C2×C4 | — | 4 | 1 | no | — |
| 689 | C2×C4 | — | 8 | 1 | no | — |
| 690 | C2×C4 | — | 16 | 1 | no | — |
| 691 | C2×C4 | — | 284 | 1 | no | — |
| 692 | C2×C4 | — | 284 | 1 | no | — |
| 693 | C2×C4 | — | 284 | 1 | no | — |
| 694 | C2×C4 | — | 284 | 1 | no | — |
| 695 | C2×C4 | — | 284 | 1 | no | — |
| 696 | C2×C4 | — | 568 | 1 | no | — |
| 697 | C2×C4 | — | 1136 | 1 | no | — |
| 698 | C2×C4 | — | 142 | 1 | no | — |
| 699 | C2×C4 | — | 142 | 1 | no | — |
| 700 | C2×C4 | — | 142 | 2 | no | — |
| 701 | C2×C4 | — | 142 | 2 | no | — |
| 702 | C2×C4 | C22×C4×D71 | 1 | 1 | yes | characteristic |
| 703 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 704 | C2×C4 | C22×C22⋊D71 | 1 | 1 | yes | characteristic |
| 705 | C2×C4 | C2×#11765864 | 1 | 1 | yes | characteristic |
| 706 | C2×C4 | C2×#11765865 | 1 | 1 | yes | characteristic |
| 707 | C2×C4 | #14556173 | 1 | 1 | yes | characteristic |
| 708 | C8 | — | 2 | 1 | no | — |
| 709 | C8 | — | 2 | 1 | no | — |
| 710 | C8 | — | 4 | 1 | no | — |
| 711 | C8 | — | 284 | 1 | no | — |
| 712 | C8 | — | 142 | 1 | no | — |
| 713 | C8 | — | 142 | 1 | no | — |
| 714 | C8 | — | 142 | 2 | no | — |
| 715 | C8 | — | 142 | 2 | no | — |
| 716 | C22 | — | 2 | 1 | no | — |
| 717 | C22 | — | 2 | 1 | no | — |
| 718 | C22 | — | 2 | 2 | no | — |
| 719 | C22 | — | 2 | 2 | no | — |
| 720 | C22 | — | 4 | 1 | no | — |
| 721 | C22 | — | 4 | 1 | no | — |
| 722 | C22 | — | 4 | 1 | no | — |
| 723 | C22 | — | 4 | 1 | no | — |
| 724 | C22 | — | 4 | 2 | no | — |
| 725 | C22 | — | 8 | 2 | no | — |
| 726 | C22 | — | 8 | 1 | no | — |
| 727 | C22 | — | 8 | 1 | no | — |
| 728 | C22 | — | 16 | 1 | no | — |
| 729 | C22 | — | 16 | 4 | no | — |
| 730 | C22 | #17986472 | 1 | 1 | yes | characteristic |
| 731 | C22 | D4×C22⋊D71 | 1 | 1 | yes | characteristic |
| 732 | C22 | #17986675 | 1 | 1 | yes | characteristic |
| 733 | C4 | — | 2 | 2 | no | — |
| 734 | C4 | — | 2 | 2 | no | — |
| 735 | C4 | — | 4 | 1 | no | — |
| 736 | C4 | — | 4 | 1 | no | — |
| 737 | C4 | — | 8 | 1 | no | — |
| 738 | C4 | — | 284 | 2 | no | — |
| 739 | C4 | — | 284 | 2 | no | — |
| 740 | C4 | — | 284 | 1 | no | — |
| 741 | C4 | — | 284 | 1 | no | — |
| 742 | C4 | — | 568 | 1 | no | — |
| 743 | C4 | C2×(C22⋊D71)⋊C4 | 1 | 1 | yes | characteristic |
| 744 | C4 | C2×C4×C22⋊D71 | 1 | 1 | yes | characteristic |
| 745 | C4 | #17986639 | 1 | 1 | yes | characteristic |
| 746 | C4 | #17986643 | 1 | 1 | yes | characteristic |
| 747 | C2 | — | 2 | 1 | no | — |
| 748 | C2 | — | 2 | 1 | no | — |
| 749 | C2 | — | 4 | 2 | no | — |
| 750 | C2 | — | 4 | 2 | no | — |
| 751 | C2 | — | 8 | 2 | no | — |
| 752 | C2 | #22591319 | 1 | 1 | yes | characteristic |
| 753 | C2 | #22600104 | 1 | 1 | yes | characteristic |
| 754 | C2 | #22600113 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta