| 1 | #23777361 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #23774579 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #23773960 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #23762668 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #23762661 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #23762584 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #23762577 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #23762571 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #23762564 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #23762520 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #23762515 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #23762106 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #23761858 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #23761782 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C79×#3116 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #19099298 | C22 | 1 | 1 | yes | characteristic |
| 17 | #19099286 | C22 | 1 | 1 | yes | characteristic |
| 18 | #19099276 | — | 2 | 1 | no | — |
| 19 | #19099237 | — | 2 | 2 | no | — |
| 20 | D4×Dic158 | C22 | 1 | 1 | yes | characteristic |
| 21 | #19099222 | — | 2 | 1 | no | — |
| 22 | #19099209 | — | 2 | 1 | no | — |
| 23 | #19099201 | — | 2 | 1 | no | — |
| 24 | D4×D316 | C22 | 1 | 1 | yes | characteristic |
| 25 | #19099185 | — | 2 | 1 | no | — |
| 26 | #19099146 | — | 2 | 2 | no | — |
| 27 | #19099113 | C22 | 1 | 1 | yes | characteristic |
| 28 | #19099097 | — | 2 | 1 | no | — |
| 29 | #19099097 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#14579149 | — | 2 | 1 | no | — |
| 31 | #19099035 | — | 2 | 1 | no | — |
| 32 | #19098962 | — | 2 | 1 | no | — |
| 33 | #19098959 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #19098937 | C22 | 1 | 1 | yes | characteristic |
| 35 | #19098920 | — | 2 | 1 | no | — |
| 36 | #19098913 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | #19098911 | C22 | 1 | 1 | yes | characteristic |
| 38 | #19098904 | — | 2 | 1 | no | — |
| 39 | #19098887 | — | 2 | 1 | no | — |
| 40 | #19098855 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #19098850 | C22 | 1 | 1 | yes | characteristic |
| 42 | #19098845 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #19098840 | C22 | 1 | 1 | yes | characteristic |
| 44 | #19098794 | — | 2 | 2 | no | — |
| 45 | C4×#11929611 | — | 2 | 2 | no | — |
| 46 | #19098616 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | C2×C4×C79⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #19098308 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #19098308 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #19098306 | C22 | 1 | 1 | yes | characteristic |
| 51 | #19098306 | C22 | 1 | 1 | yes | characteristic |
| 52 | Q8⋊(C79⋊C8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | Q8⋊(C79⋊C8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #19098293 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #19098293 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | D4⋊(C79⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 57 | D4⋊(C79⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 58 | #19098290 | C22 | 1 | 1 | yes | characteristic |
| 59 | #19098290 | C22 | 1 | 1 | yes | characteristic |
| 60 | #533×C79 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | C4×#41×C79 | C22 | 1 | 1 | yes | characteristic |
| 62 | #485×C79 | — | 2 | 1 | no | — |
| 63 | #477×C79 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #476×C79 | C22 | 1 | 1 | yes | characteristic |
| 65 | #462×C79 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #461×C79 | C22 | 1 | 1 | yes | characteristic |
| 67 | #452×C79 | — | 2 | 1 | no | — |
| 68 | #441×C79 | — | 2 | 1 | no | — |
| 69 | #440×C79 | — | 2 | 1 | no | — |
| 70 | #432×C79 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | C2×#11929624 | — | 2 | 1 | no | — |
| 72 | C22×Dic158 | — | 2 | 1 | no | — |
| 73 | C22×D316 | — | 2 | 1 | no | — |
| 74 | C2×D4×D79 | — | 2 | 1 | no | — |
| 75 | C2×#11929611 | — | 2 | 2 | no | — |
| 76 | C22×C79⋊C8 | — | 2 | 1 | no | — |
| 77 | #14579161 | C23 | 1 | 1 | yes | characteristic |
| 78 | #14579160 | — | 2 | 1 | no | — |
| 79 | #14579158 | C23 | 1 | 1 | yes | characteristic |
| 80 | #14579156 | — | 2 | 2 | no | — |
| 81 | #14579155 | — | 2 | 2 | no | — |
| 82 | #14579155 | — | 2 | 1 | no | — |
| 83 | #14579153 | D4 | 1 | 1 | yes | characteristic |
| 84 | #14579150 | — | 2 | 1 | no | — |
| 85 | #14579149 | — | 2 | 2 | no | — |
| 86 | #14579149 | — | 2 | 2 | no | — |
| 87 | #14579149 | — | 2 | 1 | no | — |
| 88 | #14579149 | — | 2 | 1 | no | — |
| 89 | #14579149 | — | 2 | 1 | no | — |
| 90 | #14579149 | D4 | 1 | 1 | yes | characteristic |
| 91 | #14579147 | — | 2 | 2 | no | — |
| 92 | #14579146 | — | 2 | 2 | no | — |
| 93 | #14579146 | — | 2 | 2 | no | — |
| 94 | #14579144 | — | 2 | 2 | no | — |
| 95 | #14579144 | — | 2 | 1 | no | — |
| 96 | #14579140 | — | 2 | 1 | no | — |
| 97 | #14579140 | D4 | 1 | 1 | yes | characteristic |
| 98 | #14579139 | — | 2 | 2 | no | — |
| 99 | #14579138 | — | 2 | 2 | no | — |
| 100 | #14579137 | — | 2 | 1 | no | — |
| 101 | #14579136 | — | 2 | 1 | no | — |
| 102 | #14579135 | — | 2 | 1 | no | — |
| 103 | #14579135 | — | 2 | 1 | no | — |
| 104 | #14579135 | D4 | 1 | 1 | yes | characteristic |
| 105 | #14579135 | D4 | 1 | 2 | yes | — |
| 106 | #14579134 | — | 2 | 2 | no | — |
| 107 | #14579133 | — | 2 | 2 | no | — |
| 108 | #14579131 | — | 2 | 2 | no | — |
| 109 | #14579129 | — | 2 | 2 | no | — |
| 110 | C4×Dic158 | — | 2 | 1 | no | — |
| 111 | C4×Dic158 | C23 | 1 | 1 | yes | characteristic |
| 112 | C4×D316 | — | 2 | 1 | no | — |
| 113 | C4×D316 | — | 2 | 1 | no | — |
| 114 | C4×D316 | D4 | 1 | 2 | yes | — |
| 115 | C4×D316 | C23 | 1 | 1 | yes | characteristic |
| 116 | D4×Dic79 | — | 2 | 1 | no | — |
| 117 | #14579123 | — | 2 | 1 | no | — |
| 118 | C4×C22⋊D79 | — | 2 | 2 | no | — |
| 119 | C4×C22⋊D79 | — | 2 | 1 | no | — |
| 120 | (C22⋊D79)⋊C4 | — | 2 | 2 | no | — |
| 121 | #14579119 | — | 2 | 1 | no | — |
| 122 | #14579118 | — | 2 | 2 | no | — |
| 123 | #14579118 | — | 2 | 1 | no | — |
| 124 | C2×(C2×D79)⋊C4 | — | 2 | 2 | no | — |
| 125 | C2×(C2×D79)⋊C4 | — | 2 | 2 | no | — |
| 126 | C22⋊C4×D79 | — | 2 | 2 | no | — |
| 127 | #14579094 | — | 2 | 1 | no | — |
| 128 | #14579094 | — | 2 | 1 | no | — |
| 129 | #14579092 | — | 2 | 1 | no | — |
| 130 | #14579092 | — | 2 | 1 | no | — |
| 131 | #14579092 | — | 2 | 2 | no | — |
| 132 | C4⋊(C79⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 133 | C4⋊(C79⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 134 | #14579085 | — | 2 | 2 | no | — |
| 135 | #14579084 | — | 2 | 1 | no | — |
| 136 | #14579084 | — | 2 | 1 | no | — |
| 137 | #14579081 | — | 2 | 1 | no | — |
| 138 | #14579081 | — | 2 | 1 | no | — |
| 139 | #14579081 | — | 2 | 2 | no | — |
| 140 | C22⋊(C79⋊C8) | — | 2 | 1 | no | — |
| 141 | C4×C79⋊C8 | — | 2 | 1 | no | — |
| 142 | C4×C79⋊C8 | — | 2 | 1 | no | — |
| 143 | C4×C79⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 144 | C4×C79⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 145 | C2×#41×C79 | D4 | 1 | 1 | yes | characteristic |
| 146 | C2×Q16×C79 | — | 2 | 1 | no | — |
| 147 | C2×SD16×C79 | — | 2 | 1 | no | — |
| 148 | C4⋊Q8×C79 | C23 | 1 | 1 | yes | characteristic |
| 149 | C4⋊Q8×C79 | C23 | 1 | 1 | yes | characteristic |
| 150 | #125×C79 | — | 2 | 1 | no | — |
| 151 | C22⋊Q8×C79 | — | 2 | 1 | no | — |
| 152 | C22⋊Q8×C79 | — | 2 | 1 | no | — |
| 153 | C4×Q8×C79 | — | 2 | 1 | no | — |
| 154 | C4×Q8×C79 | — | 2 | 1 | no | — |
| 155 | C4×Q8×C79 | D4 | 1 | 1 | yes | characteristic |
| 156 | C4×Q8×C79 | C23 | 1 | 1 | yes | characteristic |
| 157 | C4×D4×C79 | — | 2 | 1 | no | — |
| 158 | C4×D4×C79 | — | 2 | 1 | no | — |
| 159 | C4×D4×C79 | D4 | 1 | 1 | yes | characteristic |
| 160 | C4×D4×C79 | C23 | 1 | 1 | yes | characteristic |
| 161 | #117×C79 | — | 2 | 1 | no | — |
| 162 | #117×C79 | — | 2 | 1 | no | — |
| 163 | #117×C79 | D4 | 1 | 1 | yes | characteristic |
| 164 | C2×C42×C79 | — | 2 | 1 | no | — |
| 165 | C2×C42×C79 | C23 | 1 | 1 | yes | characteristic |
| 166 | #107×C79 | — | 2 | 1 | no | — |
| 167 | #106×C79 | — | 2 | 1 | no | — |
| 168 | C4⋊C8×C79 | C23 | 1 | 1 | yes | characteristic |
| 169 | C4⋊C8×C79 | C23 | 1 | 1 | yes | characteristic |
| 170 | #103×C79 | — | 2 | 1 | no | — |
| 171 | #103×C79 | — | 2 | 1 | no | — |
| 172 | #103×C79 | — | 2 | 1 | no | — |
| 173 | #102×C79 | — | 2 | 1 | no | — |
| 174 | C22⋊C8×C79 | — | 2 | 1 | no | — |
| 175 | #97×C79 | — | 2 | 1 | no | — |
| 176 | C23×D79 | — | 2 | 2 | no | — |
| 177 | #11929624 | — | 8 | 1 | no | — |
| 178 | #11929624 | — | 8 | 1 | no | — |
| 179 | C2×Dic158 | — | 2 | 2 | no | — |
| 180 | C2×Dic158 | — | 2 | 1 | no | — |
| 181 | C2×Dic158 | — | 8 | 1 | no | — |
| 182 | C2×Dic158 | — | 8 | 1 | no | — |
| 183 | C2×Dic158 | C2×D4 | 1 | 1 | yes | characteristic |
| 184 | C2×D316 | — | 2 | 2 | no | — |
| 185 | C2×D316 | — | 2 | 1 | no | — |
| 186 | C2×D316 | — | 2 | 1 | no | — |
| 187 | C2×D316 | — | 8 | 1 | no | — |
| 188 | C2×D316 | — | 8 | 1 | no | — |
| 189 | C2×D316 | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | C2×D316 | C2×D4 | 1 | 2 | yes | — |
| 191 | C2×C22⋊D79 | — | 2 | 2 | no | — |
| 192 | C2×C22⋊D79 | — | 2 | 2 | no | — |
| 193 | C2×C22⋊D79 | — | 2 | 1 | no | — |
| 194 | D4×D79 | — | 4 | 2 | no | — |
| 195 | D4×D79 | — | 4 | 2 | no | — |
| 196 | C22×Dic79 | — | 2 | 2 | no | — |
| 197 | C2×C4×D79 | — | 2 | 2 | no | — |
| 198 | C2×C4×D79 | — | 2 | 2 | no | — |
| 199 | C2×C4×D79 | — | 2 | 1 | no | — |
| 200 | #11929611 | — | 4 | 4 | no | — |
| 201 | C2×C79⋊C8 | — | 2 | 1 | no | — |
| 202 | C2×C79⋊C8 | — | 2 | 1 | no | — |
| 203 | C2×C79⋊C8 | — | 2 | 1 | no | — |
| 204 | C2×C79⋊C8 | — | 2 | 1 | no | — |
| 205 | C2×C79⋊C8 | — | 4 | 2 | no | — |
| 206 | C4⋊Dic79 | — | 2 | 1 | no | — |
| 207 | C4⋊Dic79 | C2×D4 | 1 | 2 | yes | — |
| 208 | C4⋊Dic79 | C2×D4 | 1 | 1 | yes | characteristic |
| 209 | C4⋊Dic79 | C2×D4 | 1 | 1 | yes | characteristic |
| 210 | Dic79⋊C4 | — | 2 | 2 | no | — |
| 211 | Dic79⋊C4 | — | 2 | 2 | no | — |
| 212 | Dic79⋊C4 | — | 2 | 1 | no | — |
| 213 | Dic79⋊C4 | — | 2 | 1 | no | — |
| 214 | Dic79⋊C4 | — | 2 | 1 | no | — |
| 215 | Dic79⋊C4 | — | 2 | 1 | no | — |
| 216 | C22⋊Dic79 | — | 2 | 2 | no | — |
| 217 | C22⋊Dic79 | — | 2 | 1 | no | — |
| 218 | (C2×D79)⋊C4 | — | 2 | 2 | no | — |
| 219 | (C2×D79)⋊C4 | — | 2 | 2 | no | — |
| 220 | (C2×D79)⋊C4 | — | 2 | 2 | no | — |
| 221 | (C2×D79)⋊C4 | — | 2 | 2 | no | — |
| 222 | (C2×D79)⋊C4 | — | 2 | 2 | no | — |
| 223 | (C2×D79)⋊C4 | — | 2 | 2 | no | — |
| 224 | (C2×D79)⋊C4 | — | 2 | 1 | no | — |
| 225 | (C2×D79)⋊C4 | — | 2 | 1 | no | — |
| 226 | (C2×D79)⋊C4 | — | 2 | 1 | no | — |
| 227 | (C2×D79)⋊C4 | — | 2 | 2 | no | — |
| 228 | (C2×D79)⋊C4 | — | 2 | 2 | no | — |
| 229 | (C2×D79)⋊C4 | — | 2 | 1 | no | — |
| 230 | C4×Dic79 | — | 2 | 2 | no | — |
| 231 | C4×Dic79 | — | 2 | 1 | no | — |
| 232 | #41×C79 | — | 2 | 2 | no | — |
| 233 | #41×C79 | — | 4 | 1 | no | — |
| 234 | C2×Q8×C79 | — | 2 | 1 | no | — |
| 235 | C2×Q8×C79 | — | 2 | 1 | no | — |
| 236 | C2×Q8×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 237 | C2×D4×C79 | — | 2 | 1 | no | — |
| 238 | C2×D4×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 239 | C22×C4×C79 | — | 2 | 1 | no | — |
| 240 | C22×C4×C79 | — | 2 | 1 | no | — |
| 241 | C22×C4×C79 | — | 2 | 1 | no | — |
| 242 | C22×C4×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 243 | C22×C4×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | C22×C4×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 245 | Q16×C79 | — | 4 | 2 | no | — |
| 246 | SD16×C79 | — | 4 | 2 | no | — |
| 247 | C2×C8×C79 | — | 2 | 1 | no | — |
| 248 | C2×C8×C79 | — | 2 | 1 | no | — |
| 249 | C4⋊C4×C79 | — | 2 | 1 | no | — |
| 250 | C4⋊C4×C79 | — | 2 | 1 | no | — |
| 251 | C4⋊C4×C79 | — | 2 | 1 | no | — |
| 252 | C4⋊C4×C79 | — | 2 | 1 | no | — |
| 253 | C4⋊C4×C79 | — | 2 | 1 | no | — |
| 254 | C4⋊C4×C79 | — | 2 | 1 | no | — |
| 255 | C4⋊C4×C79 | — | 4 | 1 | no | — |
| 256 | C4⋊C4×C79 | — | 4 | 1 | no | — |
| 257 | C4⋊C4×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 258 | C4⋊C4×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 259 | C22⋊C4×C79 | — | 2 | 1 | no | — |
| 260 | C22⋊C4×C79 | — | 2 | 1 | no | — |
| 261 | C22⋊C4×C79 | — | 2 | 1 | no | — |
| 262 | C22⋊C4×C79 | — | 4 | 1 | no | — |
| 263 | C42×C79 | — | 2 | 1 | no | — |
| 264 | C42×C79 | — | 2 | 1 | no | — |
| 265 | C42×C79 | — | 2 | 1 | no | — |
| 266 | C42×C79 | — | 4 | 1 | no | — |
| 267 | C42×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 268 | C42×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 269 | C42×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 270 | C42×C79 | C24 | 1 | 1 | yes | characteristic |
| 271 | C23×C79 | — | 2 | 1 | no | — |
| 272 | C23×C79 | #120 | 1 | 1 | yes | characteristic |
| 273 | C22×D79 | — | 2 | 1 | no | — |
| 274 | C22×D79 | — | 2 | 2 | no | — |
| 275 | C22×D79 | — | 4 | 4 | no | — |
| 276 | C22×D79 | — | 8 | 2 | no | — |
| 277 | C22×D79 | — | 8 | 2 | no | — |
| 278 | Q8×C79 | — | 2 | 1 | no | — |
| 279 | Q8×C79 | — | 2 | 1 | no | — |
| 280 | Q8×C79 | — | 4 | 2 | no | — |
| 281 | Q8×C79 | — | 4 | 1 | no | — |
| 282 | Q8×C79 | — | 4 | 1 | no | — |
| 283 | D4×C79 | — | 2 | 1 | no | — |
| 284 | D4×C79 | — | 4 | 2 | no | — |
| 285 | D4×C79 | #135 | 1 | 2 | yes | — |
| 286 | C2×C4×C79 | — | 2 | 1 | no | — |
| 287 | C2×C4×C79 | — | 2 | 1 | no | — |
| 288 | C2×C4×C79 | — | 2 | 1 | no | — |
| 289 | C2×C4×C79 | — | 2 | 1 | no | — |
| 290 | C2×C4×C79 | — | 2 | 1 | no | — |
| 291 | C2×C4×C79 | — | 2 | 1 | no | — |
| 292 | C2×C4×C79 | — | 2 | 1 | no | — |
| 293 | C2×C4×C79 | — | 4 | 1 | no | — |
| 294 | C2×C4×C79 | — | 4 | 2 | no | — |
| 295 | C2×C4×C79 | — | 4 | 1 | no | — |
| 296 | C2×C4×C79 | — | 4 | 1 | no | — |
| 297 | C2×C4×C79 | — | 4 | 1 | no | — |
| 298 | C2×C4×C79 | — | 4 | 1 | no | — |
| 299 | C2×C4×C79 | — | 8 | 1 | no | — |
| 300 | C2×C4×C79 | #120 | 1 | 1 | yes | characteristic |
| 301 | C2×C4×C79 | #120 | 1 | 1 | yes | characteristic |
| 302 | C2×C4×C79 | #120 | 1 | 1 | yes | characteristic |
| 303 | C2×C4×C79 | C22×D4 | 1 | 1 | yes | characteristic |
| 304 | C2×C4×C79 | C22×D4 | 1 | 1 | yes | characteristic |
| 305 | C2×C4×C79 | C22×D4 | 1 | 1 | yes | characteristic |
| 306 | C22⋊D79 | — | 4 | 4 | no | — |
| 307 | C22⋊D79 | — | 8 | 1 | no | — |
| 308 | C22⋊D79 | — | 8 | 2 | no | — |
| 309 | C2×Dic79 | — | 2 | 1 | no | — |
| 310 | C2×Dic79 | — | 2 | 1 | no | — |
| 311 | C2×Dic79 | — | 2 | 2 | no | — |
| 312 | C2×Dic79 | — | 2 | 1 | no | — |
| 313 | C2×Dic79 | — | 8 | 2 | no | — |
| 314 | D316 | — | 2 | 1 | no | — |
| 315 | D316 | — | 2 | 1 | no | — |
| 316 | D316 | — | 4 | 2 | no | — |
| 317 | D316 | — | 4 | 1 | no | — |
| 318 | D316 | — | 4 | 1 | no | — |
| 319 | D316 | — | 4 | 1 | no | — |
| 320 | D316 | — | 4 | 1 | no | — |
| 321 | D316 | — | 8 | 2 | no | — |
| 322 | C4×D79 | — | 4 | 1 | no | — |
| 323 | C4×D79 | — | 4 | 1 | no | — |
| 324 | C4×D79 | — | 8 | 2 | no | — |
| 325 | C4×D79 | — | 8 | 2 | no | — |
| 326 | Dic158 | — | 2 | 1 | no | — |
| 327 | Dic158 | — | 2 | 1 | no | — |
| 328 | Dic158 | — | 4 | 1 | no | — |
| 329 | Dic158 | — | 4 | 1 | no | — |
| 330 | Dic158 | — | 8 | 2 | no | — |
| 331 | C8×C79 | — | 4 | 1 | no | — |
| 332 | C8×C79 | — | 4 | 1 | no | — |
| 333 | C79⋊C8 | — | 2 | 2 | no | — |
| 334 | C79⋊C8 | — | 4 | 1 | no | — |
| 335 | C79⋊C8 | — | 4 | 1 | no | — |
| 336 | C79⋊C8 | — | 4 | 1 | no | — |
| 337 | C22×C79 | — | 2 | 2 | no | — |
| 338 | C22×C79 | — | 2 | 1 | no | — |
| 339 | C22×C79 | — | 2 | 1 | no | — |
| 340 | C22×C79 | — | 2 | 1 | no | — |
| 341 | C22×C79 | — | 4 | 1 | no | — |
| 342 | C22×C79 | — | 4 | 1 | no | — |
| 343 | C22×C79 | C2×#120 | 1 | 1 | yes | characteristic |
| 344 | C2×D79 | — | 4 | 2 | no | — |
| 345 | C2×D79 | — | 4 | 1 | no | — |
| 346 | C2×D79 | — | 4 | 2 | no | — |
| 347 | C2×D79 | — | 4 | 1 | no | — |
| 348 | C2×D79 | — | 4 | 1 | no | — |
| 349 | C2×D79 | — | 4 | 2 | no | — |
| 350 | C2×D79 | — | 16 | 4 | no | — |
| 351 | C4×C79 | — | 2 | 1 | no | — |
| 352 | C4×C79 | — | 2 | 1 | no | — |
| 353 | C4×C79 | — | 2 | 1 | no | — |
| 354 | C4×C79 | — | 2 | 1 | no | — |
| 355 | C4×C79 | — | 4 | 1 | no | — |
| 356 | C4×C79 | — | 4 | 1 | no | — |
| 357 | C4×C79 | — | 4 | 1 | no | — |
| 358 | C4×C79 | — | 8 | 1 | no | — |
| 359 | C4×C79 | — | 8 | 1 | no | — |
| 360 | C4×C79 | C2×#135 | 1 | 1 | yes | characteristic |
| 361 | C4×C79 | #575 | 1 | 1 | yes | characteristic |
| 362 | C4×C79 | #577 | 1 | 1 | yes | characteristic |
| 363 | C4×C79 | #577 | 1 | 1 | yes | characteristic |
| 364 | Dic79 | — | 4 | 1 | no | — |
| 365 | Dic79 | — | 4 | 2 | no | — |
| 366 | Dic79 | — | 4 | 1 | no | — |
| 367 | Dic79 | — | 4 | 1 | no | — |
| 368 | #18659 | — | 79 | 1 | no | maximal, Sylow |
| 369 | C2×C79 | — | 4 | 2 | no | — |
| 370 | C2×C79 | — | 4 | 1 | no | — |
| 371 | C2×C79 | #3002 | 1 | 1 | yes | characteristic |
| 372 | C2×C79 | #3009 | 1 | 1 | yes | characteristic |
| 373 | C2×C79 | #3018 | 1 | 1 | yes | characteristic |
| 374 | D79 | — | 8 | 2 | no | — |
| 375 | D79 | — | 8 | 1 | no | — |
| 376 | #3514 | — | 79 | 1 | no | — |
| 377 | #3233 | — | 79 | 1 | no | — |
| 378 | #3167 | — | 79 | 1 | no | — |
| 379 | #3116 | D79 | 1 | 1 | yes | characteristic, complemented |
| 380 | #1652 | — | 79 | 1 | no | — |
| 381 | #1651 | — | 79 | 1 | no | — |
| 382 | #1640 | — | 79 | 1 | no | — |
| 383 | #1639 | — | 79 | 1 | no | — |
| 384 | #1638 | — | 79 | 1 | no | — |
| 385 | #1637 | — | 79 | 1 | no | — |
| 386 | #1630 | — | 79 | 1 | no | — |
| 387 | #1629 | — | 79 | 1 | no | — |
| 388 | #1553 | — | 79 | 1 | no | — |
| 389 | #1494 | — | 79 | 1 | no | — |
| 390 | #1476 | — | 79 | 1 | no | — |
| 391 | C79 | #18659 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 392 | #559 | — | 79 | 1 | no | — |
| 393 | #556 | — | 79 | 1 | no | — |
| 394 | #555 | — | 158 | 1 | no | — |
| 395 | #551 | — | 158 | 2 | no | — |
| 396 | D4×Q8 | — | 79 | 1 | no | — |
| 397 | #548 | — | 158 | 1 | no | — |
| 398 | #546 | — | 158 | 1 | no | — |
| 399 | #546 | — | 158 | 1 | no | — |
| 400 | D42 | — | 79 | 1 | no | — |
| 401 | #542 | — | 158 | 1 | no | — |
| 402 | #538 | — | 158 | 2 | no | — |
| 403 | #533 | C2×D79 | 1 | 1 | yes | characteristic, complemented |
| 404 | #532 | — | 79 | 1 | no | — |
| 405 | #529 | — | 79 | 1 | no | — |
| 406 | #529 | — | 158 | 1 | no | — |
| 407 | C2×#124 | — | 158 | 1 | no | — |
| 408 | #518 | — | 158 | 1 | no | — |
| 409 | C4×#41 | C2×D79 | 1 | 1 | yes | characteristic |
| 410 | #499 | — | 158 | 1 | no | — |
| 411 | #498 | — | 79 | 1 | no | — |
| 412 | #492 | — | 79 | 1 | no | — |
| 413 | #488 | — | 158 | 1 | no | — |
| 414 | #487 | — | 79 | 1 | no | — |
| 415 | #486 | — | 79 | 1 | no | — |
| 416 | #485 | — | 2 | 1 | no | — |
| 417 | #485 | — | 158 | 1 | no | — |
| 418 | #482 | — | 158 | 1 | no | — |
| 419 | #477 | — | 79 | 1 | no | — |
| 420 | #477 | C2×D79 | 1 | 1 | yes | characteristic, complemented |
| 421 | #476 | — | 79 | 1 | no | — |
| 422 | #476 | C2×D79 | 1 | 1 | yes | characteristic |
| 423 | #475 | — | 79 | 1 | no | — |
| 424 | #474 | — | 79 | 1 | no | — |
| 425 | #465 | — | 158 | 2 | no | — |
| 426 | #462 | C2×D79 | 1 | 1 | yes | characteristic, complemented |
| 427 | #461 | C2×D79 | 1 | 1 | yes | characteristic |
| 428 | #452 | — | 2 | 1 | no | — |
| 429 | #441 | — | 2 | 1 | no | — |
| 430 | #440 | — | 2 | 1 | no | — |
| 431 | C4×SD16 | — | 158 | 2 | no | — |
| 432 | #432 | C2×D79 | 1 | 1 | yes | characteristic, complemented |
| 433 | #431 | — | 79 | 1 | no | — |
| 434 | C2×C4×C8 | — | 79 | 1 | no | — |
| 435 | #332 | — | 79 | 1 | no | — |
| 436 | #332 | — | 79 | 1 | no | — |
| 437 | #331 | — | 79 | 1 | no | — |
| 438 | #331 | — | 79 | 1 | no | — |
| 439 | Q8⋊C8 | — | 79 | 1 | no | — |
| 440 | Q8⋊C8 | — | 79 | 1 | no | — |
| 441 | Q8⋊C8 | — | 79 | 1 | no | — |
| 442 | Q8⋊C8 | — | 79 | 1 | no | — |
| 443 | D4⋊C8 | — | 79 | 1 | no | — |
| 444 | D4⋊C8 | — | 79 | 1 | no | — |
| 445 | D4⋊C8 | — | 79 | 1 | no | — |
| 446 | D4⋊C8 | — | 79 | 1 | no | — |
| 447 | C2×#41 | — | 158 | 1 | no | — |
| 448 | C2×#41 | C22⋊D79 | 1 | 1 | yes | characteristic |
| 449 | C22×Q8 | — | 158 | 1 | no | — |
| 450 | C22×D4 | — | 158 | 1 | no | — |
| 451 | C22×D4 | — | 158 | 1 | no | — |
| 452 | C2×Q16 | — | 2 | 1 | no | — |
| 453 | C2×SD16 | — | 2 | 1 | no | — |
| 454 | C2×SD16 | — | 158 | 2 | no | — |
| 455 | C22×C8 | — | 158 | 1 | no | — |
| 456 | C4⋊Q8 | — | 79 | 1 | no | — |
| 457 | C4⋊Q8 | — | 158 | 1 | no | — |
| 458 | C4⋊Q8 | C22×D79 | 1 | 1 | yes | characteristic |
| 459 | C4⋊Q8 | C22×D79 | 1 | 1 | yes | characteristic |
| 460 | #127 | — | 79 | 1 | no | — |
| 461 | #126 | — | 158 | 2 | no | — |
| 462 | #126 | — | 158 | 2 | no | — |
| 463 | #126 | — | 158 | 1 | no | — |
| 464 | #125 | — | 2 | 1 | no | — |
| 465 | #125 | — | 79 | 1 | no | — |
| 466 | #124 | — | 79 | 1 | no | — |
| 467 | #124 | — | 158 | 1 | no | — |
| 468 | #124 | — | 158 | 1 | no | — |
| 469 | #124 | — | 158 | 2 | no | — |
| 470 | #124 | — | 158 | 2 | no | — |
| 471 | #124 | — | 158 | 2 | no | — |
| 472 | #124 | — | 158 | 1 | no | — |
| 473 | #124 | — | 158 | 1 | no | — |
| 474 | #123 | — | 158 | 2 | no | — |
| 475 | #123 | — | 158 | 2 | no | — |
| 476 | #123 | — | 158 | 2 | no | — |
| 477 | #123 | — | 158 | 1 | no | — |
| 478 | C22⋊Q8 | — | 2 | 1 | no | — |
| 479 | C22⋊Q8 | — | 2 | 1 | no | — |
| 480 | C22⋊Q8 | — | 79 | 1 | no | — |
| 481 | C22⋊Q8 | — | 158 | 2 | no | — |
| 482 | C22⋊Q8 | — | 158 | 2 | no | — |
| 483 | C22⋊Q8 | — | 158 | 1 | no | — |
| 484 | C22⋊Q8 | — | 158 | 1 | no | — |
| 485 | #121 | — | 79 | 1 | no | — |
| 486 | #121 | — | 79 | 2 | no | — |
| 487 | #121 | — | 158 | 2 | no | — |
| 488 | #121 | — | 158 | 1 | no | — |
| 489 | #121 | — | 158 | 2 | no | — |
| 490 | #121 | — | 158 | 1 | no | — |
| 491 | #121 | — | 158 | 1 | no | — |
| 492 | #120 | — | 158 | 2 | no | — |
| 493 | #120 | — | 158 | 2 | no | — |
| 494 | C4×Q8 | — | 2 | 1 | no | — |
| 495 | C4×Q8 | — | 2 | 1 | no | — |
| 496 | C4×Q8 | — | 79 | 1 | no | — |
| 497 | C4×Q8 | — | 158 | 1 | no | — |
| 498 | C4×Q8 | C22⋊D79 | 1 | 1 | yes | characteristic |
| 499 | C4×Q8 | C22×D79 | 1 | 1 | yes | characteristic |
| 500 | C4×D4 | — | 2 | 1 | no | — |
| 501 | C4×D4 | — | 2 | 1 | no | — |
| 502 | C4×D4 | — | 79 | 2 | no | — |
| 503 | C4×D4 | — | 79 | 1 | no | — |
| 504 | C4×D4 | — | 158 | 1 | no | — |
| 505 | C4×D4 | — | 158 | 2 | no | — |
| 506 | C4×D4 | — | 158 | 2 | no | — |
| 507 | C4×D4 | — | 158 | 1 | no | — |
| 508 | C4×D4 | — | 158 | 1 | no | — |
| 509 | C4×D4 | — | 158 | 1 | no | — |
| 510 | C4×D4 | — | 158 | 1 | no | — |
| 511 | C4×D4 | C22⋊D79 | 1 | 1 | yes | characteristic |
| 512 | C4×D4 | C22×D79 | 1 | 1 | yes | characteristic |
| 513 | #117 | — | 2 | 1 | no | — |
| 514 | #117 | — | 2 | 1 | no | — |
| 515 | #117 | — | 158 | 2 | no | — |
| 516 | #117 | — | 158 | 1 | no | — |
| 517 | #117 | — | 158 | 1 | no | — |
| 518 | #117 | C22⋊D79 | 1 | 1 | yes | characteristic |
| 519 | C2×C22⋊C4 | — | 158 | 2 | no | — |
| 520 | C2×C22⋊C4 | — | 158 | 2 | no | — |
| 521 | C2×C22⋊C4 | — | 158 | 2 | no | — |
| 522 | C2×C42 | — | 2 | 1 | no | — |
| 523 | C2×C42 | C22×D79 | 1 | 1 | yes | characteristic |
| 524 | #107 | — | 2 | 1 | no | — |
| 525 | #107 | — | 158 | 1 | no | — |
| 526 | #107 | — | 158 | 1 | no | — |
| 527 | #106 | — | 2 | 1 | no | — |
| 528 | #106 | — | 158 | 2 | no | — |
| 529 | #106 | — | 158 | 1 | no | — |
| 530 | #106 | — | 158 | 1 | no | — |
| 531 | C4⋊C8 | — | 79 | 1 | no | — |
| 532 | C4⋊C8 | — | 79 | 1 | no | — |
| 533 | C4⋊C8 | C22×D79 | 1 | 1 | yes | characteristic |
| 534 | C4⋊C8 | C22×D79 | 1 | 1 | yes | characteristic |
| 535 | #103 | — | 2 | 1 | no | — |
| 536 | #103 | — | 2 | 1 | no | — |
| 537 | #103 | — | 2 | 1 | no | — |
| 538 | #103 | — | 158 | 1 | no | — |
| 539 | #103 | — | 158 | 1 | no | — |
| 540 | #103 | — | 158 | 2 | no | — |
| 541 | #102 | — | 2 | 1 | no | — |
| 542 | #102 | — | 158 | 2 | no | — |
| 543 | #102 | — | 158 | 1 | no | — |
| 544 | #102 | — | 158 | 1 | no | — |
| 545 | C22⋊C8 | — | 2 | 1 | no | — |
| 546 | C22⋊C8 | — | 158 | 1 | no | — |
| 547 | #97 | — | 2 | 1 | no | — |
| 548 | C4×C8 | — | 79 | 1 | no | — |
| 549 | C4×C8 | — | 79 | 1 | no | — |
| 550 | C4×C8 | — | 158 | 1 | no | — |
| 551 | C4×C8 | — | 158 | 1 | no | — |
| 552 | C24 | — | 158 | 2 | no | — |
| 553 | #41 | — | 2 | 2 | no | — |
| 554 | #41 | — | 4 | 1 | no | — |
| 555 | #41 | — | 632 | 1 | no | — |
| 556 | #41 | — | 632 | 1 | no | — |
| 557 | C2×Q8 | — | 2 | 1 | no | — |
| 558 | C2×Q8 | — | 2 | 1 | no | — |
| 559 | C2×Q8 | — | 79 | 1 | no | — |
| 560 | C2×Q8 | — | 632 | 1 | no | — |
| 561 | C2×Q8 | — | 632 | 1 | no | — |
| 562 | C2×Q8 | — | 158 | 2 | no | — |
| 563 | C2×Q8 | — | 158 | 1 | no | — |
| 564 | C2×Q8 | C2×C22⋊D79 | 1 | 1 | yes | characteristic |
| 565 | C2×D4 | — | 2 | 1 | no | — |
| 566 | C2×D4 | — | 316 | 2 | no | — |
| 567 | C2×D4 | — | 316 | 2 | no | — |
| 568 | C2×D4 | — | 79 | 2 | no | — |
| 569 | C2×D4 | — | 79 | 1 | no | — |
| 570 | C2×D4 | — | 632 | 1 | no | — |
| 571 | C2×D4 | — | 632 | 1 | no | — |
| 572 | C2×D4 | — | 158 | 2 | no | — |
| 573 | C2×D4 | — | 158 | 2 | no | — |
| 574 | C2×D4 | — | 158 | 1 | no | — |
| 575 | C2×D4 | — | 158 | 2 | no | — |
| 576 | C2×D4 | — | 158 | 1 | no | — |
| 577 | C2×D4 | — | 158 | 1 | no | — |
| 578 | C2×D4 | C2×C22⋊D79 | 1 | 1 | yes | characteristic |
| 579 | C22×C4 | — | 2 | 1 | no | — |
| 580 | C22×C4 | — | 2 | 1 | no | — |
| 581 | C22×C4 | — | 2 | 1 | no | — |
| 582 | C22×C4 | — | 158 | 2 | no | — |
| 583 | C22×C4 | — | 158 | 1 | no | — |
| 584 | C22×C4 | — | 158 | 2 | no | — |
| 585 | C22×C4 | — | 158 | 2 | no | — |
| 586 | C22×C4 | D4×D79 | 1 | 1 | yes | characteristic |
| 587 | C22×C4 | D4×D79 | 1 | 1 | yes | characteristic |
| 588 | C22×C4 | C2×C22⋊D79 | 1 | 1 | yes | characteristic |
| 589 | Q16 | — | 4 | 2 | no | — |
| 590 | SD16 | — | 4 | 2 | no | — |
| 591 | SD16 | — | 316 | 4 | no | — |
| 592 | C2×C8 | — | 2 | 1 | no | — |
| 593 | C2×C8 | — | 2 | 1 | no | — |
| 594 | C2×C8 | — | 316 | 2 | no | — |
| 595 | C2×C8 | — | 158 | 1 | no | — |
| 596 | C2×C8 | — | 158 | 1 | no | — |
| 597 | C2×C8 | — | 158 | 1 | no | — |
| 598 | C2×C8 | — | 158 | 1 | no | — |
| 599 | C4⋊C4 | — | 2 | 1 | no | — |
| 600 | C4⋊C4 | — | 2 | 1 | no | — |
| 601 | C4⋊C4 | — | 2 | 1 | no | — |
| 602 | C4⋊C4 | — | 2 | 1 | no | — |
| 603 | C4⋊C4 | — | 2 | 1 | no | — |
| 604 | C4⋊C4 | — | 2 | 1 | no | — |
| 605 | C4⋊C4 | — | 4 | 1 | no | — |
| 606 | C4⋊C4 | — | 4 | 1 | no | — |
| 607 | C4⋊C4 | — | 79 | 2 | no | — |
| 608 | C4⋊C4 | — | 79 | 1 | no | — |
| 609 | C4⋊C4 | — | 79 | 1 | no | — |
| 610 | C4⋊C4 | — | 158 | 2 | no | — |
| 611 | C4⋊C4 | — | 158 | 2 | no | — |
| 612 | C4⋊C4 | — | 158 | 1 | no | — |
| 613 | C4⋊C4 | — | 158 | 1 | no | — |
| 614 | C4⋊C4 | — | 158 | 1 | no | — |
| 615 | C4⋊C4 | — | 158 | 1 | no | — |
| 616 | C4⋊C4 | — | 158 | 1 | no | — |
| 617 | C4⋊C4 | C2×C22⋊D79 | 1 | 1 | yes | characteristic |
| 618 | C4⋊C4 | C2×C22⋊D79 | 1 | 1 | yes | characteristic |
| 619 | C22⋊C4 | — | 2 | 1 | no | — |
| 620 | C22⋊C4 | — | 2 | 1 | no | — |
| 621 | C22⋊C4 | — | 2 | 1 | no | — |
| 622 | C22⋊C4 | — | 4 | 1 | no | — |
| 623 | C22⋊C4 | — | 158 | 2 | no | — |
| 624 | C22⋊C4 | — | 158 | 2 | no | — |
| 625 | C22⋊C4 | — | 158 | 2 | no | — |
| 626 | C22⋊C4 | — | 158 | 2 | no | — |
| 627 | C22⋊C4 | — | 158 | 2 | no | — |
| 628 | C22⋊C4 | — | 158 | 2 | no | — |
| 629 | C22⋊C4 | — | 158 | 2 | no | — |
| 630 | C22⋊C4 | — | 158 | 1 | no | — |
| 631 | C22⋊C4 | — | 158 | 1 | no | — |
| 632 | C22⋊C4 | — | 158 | 1 | no | — |
| 633 | C22⋊C4 | — | 158 | 1 | no | — |
| 634 | C22⋊C4 | — | 158 | 2 | no | — |
| 635 | C22⋊C4 | — | 158 | 2 | no | — |
| 636 | C22⋊C4 | — | 158 | 1 | no | — |
| 637 | C42 | — | 2 | 1 | no | — |
| 638 | C42 | — | 2 | 1 | no | — |
| 639 | C42 | — | 2 | 1 | no | — |
| 640 | C42 | — | 4 | 1 | no | — |
| 641 | C42 | — | 158 | 2 | no | — |
| 642 | C42 | — | 158 | 1 | no | — |
| 643 | C42 | D4×D79 | 1 | 1 | yes | characteristic |
| 644 | C42 | D4×D79 | 1 | 1 | yes | characteristic |
| 645 | C42 | C2×C22⋊D79 | 1 | 1 | yes | characteristic |
| 646 | C42 | C23×D79 | 1 | 1 | yes | characteristic |
| 647 | C23 | — | 2 | 1 | no | — |
| 648 | C23 | — | 316 | 4 | no | — |
| 649 | C23 | — | 632 | 2 | no | — |
| 650 | C23 | — | 632 | 2 | no | — |
| 651 | C23 | — | 158 | 1 | no | — |
| 652 | C23 | — | 158 | 2 | no | — |
| 653 | C23 | #14579129 | 1 | 1 | yes | characteristic |
| 654 | Q8 | — | 2 | 1 | no | — |
| 655 | Q8 | — | 2 | 1 | no | — |
| 656 | Q8 | — | 4 | 2 | no | — |
| 657 | Q8 | — | 4 | 1 | no | — |
| 658 | Q8 | — | 4 | 1 | no | — |
| 659 | Q8 | — | 316 | 1 | no | — |
| 660 | Q8 | — | 316 | 1 | no | — |
| 661 | Q8 | — | 632 | 2 | no | — |
| 662 | Q8 | — | 158 | 1 | no | — |
| 663 | Q8 | — | 158 | 1 | no | — |
| 664 | D4 | — | 2 | 1 | no | — |
| 665 | D4 | — | 4 | 2 | no | — |
| 666 | D4 | — | 316 | 2 | no | — |
| 667 | D4 | — | 316 | 4 | no | — |
| 668 | D4 | — | 316 | 1 | no | — |
| 669 | D4 | — | 316 | 1 | no | — |
| 670 | D4 | — | 316 | 1 | no | — |
| 671 | D4 | — | 316 | 1 | no | — |
| 672 | D4 | — | 632 | 2 | no | — |
| 673 | D4 | — | 632 | 1 | no | — |
| 674 | D4 | — | 632 | 2 | no | — |
| 675 | D4 | — | 158 | 1 | no | — |
| 676 | D4 | — | 158 | 1 | no | — |
| 677 | D4 | #14579181 | 1 | 2 | yes | — |
| 678 | C2×C4 | — | 2 | 1 | no | — |
| 679 | C2×C4 | — | 2 | 1 | no | — |
| 680 | C2×C4 | — | 2 | 1 | no | — |
| 681 | C2×C4 | — | 2 | 1 | no | — |
| 682 | C2×C4 | — | 2 | 1 | no | — |
| 683 | C2×C4 | — | 2 | 1 | no | — |
| 684 | C2×C4 | — | 2 | 1 | no | — |
| 685 | C2×C4 | — | 4 | 1 | no | — |
| 686 | C2×C4 | — | 4 | 2 | no | — |
| 687 | C2×C4 | — | 4 | 1 | no | — |
| 688 | C2×C4 | — | 4 | 1 | no | — |
| 689 | C2×C4 | — | 4 | 1 | no | — |
| 690 | C2×C4 | — | 4 | 1 | no | — |
| 691 | C2×C4 | — | 8 | 1 | no | — |
| 692 | C2×C4 | — | 316 | 1 | no | — |
| 693 | C2×C4 | — | 316 | 1 | no | — |
| 694 | C2×C4 | — | 632 | 2 | no | — |
| 695 | C2×C4 | — | 632 | 2 | no | — |
| 696 | C2×C4 | — | 632 | 2 | no | — |
| 697 | C2×C4 | — | 158 | 1 | no | — |
| 698 | C2×C4 | — | 158 | 1 | no | — |
| 699 | C2×C4 | — | 158 | 1 | no | — |
| 700 | C2×C4 | — | 158 | 2 | no | — |
| 701 | C2×C4 | #14579129 | 1 | 1 | yes | characteristic |
| 702 | C2×C4 | #14579129 | 1 | 1 | yes | characteristic |
| 703 | C2×C4 | #14579129 | 1 | 1 | yes | characteristic |
| 704 | C2×C4 | C2×D4×D79 | 1 | 1 | yes | characteristic |
| 705 | C2×C4 | C2×D4×D79 | 1 | 1 | yes | characteristic |
| 706 | C2×C4 | C22×C22⋊D79 | 1 | 1 | yes | characteristic |
| 707 | C8 | — | 4 | 1 | no | — |
| 708 | C8 | — | 4 | 1 | no | — |
| 709 | C8 | — | 316 | 1 | no | — |
| 710 | C8 | — | 316 | 1 | no | — |
| 711 | C8 | — | 316 | 1 | no | — |
| 712 | C8 | — | 158 | 2 | no | — |
| 713 | C22 | — | 2 | 1 | no | — |
| 714 | C22 | — | 2 | 1 | no | — |
| 715 | C22 | — | 2 | 1 | no | — |
| 716 | C22 | — | 2 | 2 | no | — |
| 717 | C22 | — | 4 | 1 | no | — |
| 718 | C22 | — | 4 | 1 | no | — |
| 719 | C22 | — | 316 | 2 | no | — |
| 720 | C22 | — | 316 | 1 | no | — |
| 721 | C22 | — | 316 | 2 | no | — |
| 722 | C22 | — | 316 | 1 | no | — |
| 723 | C22 | — | 316 | 1 | no | — |
| 724 | C22 | — | 316 | 2 | no | — |
| 725 | C22 | — | 1264 | 4 | no | — |
| 726 | C22 | C2×#14579129 | 1 | 1 | yes | characteristic |
| 727 | C4 | — | 2 | 1 | no | — |
| 728 | C4 | — | 2 | 1 | no | — |
| 729 | C4 | — | 2 | 1 | no | — |
| 730 | C4 | — | 2 | 1 | no | — |
| 731 | C4 | — | 4 | 1 | no | — |
| 732 | C4 | — | 4 | 1 | no | — |
| 733 | C4 | — | 4 | 1 | no | — |
| 734 | C4 | — | 8 | 1 | no | — |
| 735 | C4 | — | 8 | 1 | no | — |
| 736 | C4 | — | 316 | 2 | no | — |
| 737 | C4 | — | 316 | 1 | no | — |
| 738 | C4 | — | 316 | 1 | no | — |
| 739 | C4 | — | 316 | 1 | no | — |
| 740 | C4 | C2×#14579181 | 1 | 1 | yes | characteristic |
| 741 | C4 | #19099361 | 1 | 1 | yes | characteristic |
| 742 | C4 | #19099372 | 1 | 1 | yes | characteristic |
| 743 | C4 | #19099372 | 1 | 1 | yes | characteristic |
| 744 | C2 | — | 4 | 1 | no | — |
| 745 | C2 | — | 4 | 2 | no | — |
| 746 | C2 | — | 632 | 1 | no | — |
| 747 | C2 | — | 632 | 2 | no | — |
| 748 | C2 | #23772616 | 1 | 1 | yes | characteristic |
| 749 | C2 | #23772676 | 1 | 1 | yes | characteristic |
| 750 | C2 | #23772746 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta