| 1 | #23773973 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C4×D8×D79 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #23765596 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #23765582 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #23765560 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #23765559 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #23765458 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #23765457 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #23765327 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #23765313 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | #23765277 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #23765274 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #23765262 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #23765201 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C79×#2175 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×D8×D79 | C22 | 1 | 1 | yes | characteristic |
| 17 | #19099100 | — | 2 | 1 | no | — |
| 18 | C4×D4×D79 | — | 2 | 1 | no | — |
| 19 | C2×#14579104 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×D1264 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#14579102 | C22 | 1 | 1 | yes | characteristic |
| 22 | #19098964 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #19098948 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | #19098919 | — | 2 | 1 | no | — |
| 25 | #19098801 | C22 | 1 | 1 | yes | characteristic |
| 26 | #19098800 | C22 | 1 | 1 | yes | characteristic |
| 27 | #19098795 | — | 2 | 1 | no | — |
| 28 | C4×#11929611 | — | 2 | 1 | no | — |
| 29 | C4×D632 | C22 | 1 | 1 | yes | characteristic |
| 30 | C4×D632 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | D8×Dic79 | C22 | 1 | 1 | yes | characteristic |
| 32 | #19098645 | C22 | 1 | 1 | yes | characteristic |
| 33 | C4×#11929609 | — | 2 | 1 | no | — |
| 34 | #19098643 | — | 2 | 1 | no | — |
| 35 | #107×D79 | C22 | 1 | 1 | yes | characteristic |
| 36 | #102×D79 | — | 2 | 1 | no | — |
| 37 | C4×C8×D79 | C22 | 1 | 1 | yes | characteristic |
| 38 | #19098391 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #19098390 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #19098388 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | Dic79⋊C16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | Dic79⋊C16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #19098367 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #19098365 | C22 | 1 | 1 | yes | characteristic |
| 45 | #19098365 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #19098364 | C22 | 1 | 1 | yes | characteristic |
| 47 | #19098363 | C22 | 1 | 1 | yes | characteristic |
| 48 | #19098363 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | (C2×D79)⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 50 | (C2×D79)⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 51 | #19098339 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | C2×SD32×C79 | C22 | 1 | 1 | yes | characteristic |
| 53 | C4×Q16×C79 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | C4×D8×C79 | C22 | 1 | 1 | yes | characteristic |
| 55 | #366×C79 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #358×C79 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #357×C79 | C22 | 1 | 1 | yes | characteristic |
| 58 | #346×C79 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | C2×D4×D79 | — | 2 | 1 | no | — |
| 60 | C22×C4×D79 | — | 4 | 1 | no | — |
| 61 | C2×#11929611 | — | 2 | 1 | no | — |
| 62 | C2×D632 | C23 | 1 | 1 | yes | characteristic |
| 63 | C2×D632 | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×#11929609 | — | 2 | 1 | no | — |
| 65 | D8×D79 | — | 2 | 2 | no | — |
| 66 | D8×D79 | — | 2 | 2 | no | — |
| 67 | C2×C8×D79 | D4 | 1 | 1 | yes | characteristic |
| 68 | C2×C8×D79 | C23 | 1 | 1 | yes | characteristic |
| 69 | #14579156 | — | 4 | 1 | no | — |
| 70 | #14579152 | — | 2 | 1 | no | — |
| 71 | #14579150 | — | 2 | 1 | no | — |
| 72 | #14579146 | — | 4 | 1 | no | — |
| 73 | #14579137 | — | 2 | 1 | no | — |
| 74 | #14579136 | — | 2 | 1 | no | — |
| 75 | C4×D316 | — | 2 | 1 | no | — |
| 76 | C4×D316 | — | 2 | 1 | no | — |
| 77 | C4×D316 | — | 4 | 1 | no | — |
| 78 | D4×Dic79 | — | 2 | 1 | no | — |
| 79 | #14579123 | — | 2 | 1 | no | — |
| 80 | C4×C22⋊D79 | — | 4 | 1 | no | — |
| 81 | (C22⋊D79)⋊C4 | — | 4 | 1 | no | — |
| 82 | #14579118 | — | 4 | 1 | no | — |
| 83 | C4⋊C4×D79 | — | 2 | 1 | no | — |
| 84 | C22⋊C4×D79 | — | 4 | 1 | no | — |
| 85 | C42×D79 | D4 | 1 | 1 | yes | characteristic |
| 86 | #14579104 | — | 2 | 2 | no | — |
| 87 | D1264 | — | 2 | 2 | no | — |
| 88 | #14579102 | — | 2 | 2 | no | — |
| 89 | C2×C79⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×C79⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 91 | #14579095 | C23 | 1 | 1 | yes | characteristic |
| 92 | #14579095 | C23 | 1 | 1 | yes | characteristic |
| 93 | #14579094 | — | 2 | 1 | no | — |
| 94 | #14579092 | — | 2 | 1 | no | — |
| 95 | #14579085 | — | 2 | 1 | no | — |
| 96 | #14579083 | — | 2 | 1 | no | — |
| 97 | #14579083 | — | 2 | 1 | no | — |
| 98 | #14579082 | — | 2 | 1 | no | — |
| 99 | #14579081 | — | 2 | 1 | no | — |
| 100 | #14579081 | — | 2 | 1 | no | — |
| 101 | C4×C79⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 102 | C8×Dic79 | D4 | 1 | 1 | yes | characteristic |
| 103 | C8×Dic79 | C23 | 1 | 1 | yes | characteristic |
| 104 | C2×Q16×C79 | C23 | 1 | 1 | yes | characteristic |
| 105 | C2×D8×C79 | C23 | 1 | 1 | yes | characteristic |
| 106 | C4×Q8×C79 | — | 2 | 1 | no | — |
| 107 | C4×D4×C79 | — | 2 | 1 | no | — |
| 108 | SD32×C79 | — | 2 | 2 | no | — |
| 109 | C2×C16×C79 | C23 | 1 | 1 | yes | characteristic |
| 110 | C2×C16×C79 | C23 | 1 | 1 | yes | characteristic |
| 111 | #107×C79 | C23 | 1 | 1 | yes | characteristic |
| 112 | #107×C79 | C23 | 1 | 1 | yes | characteristic |
| 113 | #103×C79 | — | 2 | 1 | no | — |
| 114 | #102×C79 | — | 2 | 1 | no | — |
| 115 | C4×C8×C79 | C23 | 1 | 1 | yes | characteristic |
| 116 | C23×D79 | — | 4 | 1 | no | — |
| 117 | C2×D316 | — | 2 | 1 | no | — |
| 118 | C2×D316 | — | 2 | 1 | no | — |
| 119 | C2×D316 | — | 4 | 1 | no | — |
| 120 | C2×C22⋊D79 | — | 4 | 1 | no | — |
| 121 | D4×D79 | — | 2 | 4 | no | — |
| 122 | D4×D79 | — | 4 | 2 | no | — |
| 123 | C22×Dic79 | — | 4 | 1 | no | — |
| 124 | C2×C4×D79 | — | 4 | 1 | no | — |
| 125 | C2×C4×D79 | — | 4 | 1 | no | — |
| 126 | C2×C4×D79 | — | 4 | 1 | no | — |
| 127 | C2×C4×D79 | — | 4 | 1 | no | — |
| 128 | C2×C4×D79 | — | 8 | 4 | no | — |
| 129 | C2×C4×D79 | D8 | 1 | 1 | yes | characteristic |
| 130 | C2×C4×D79 | D8 | 1 | 1 | yes | characteristic |
| 131 | C2×C4×D79 | C2×D4 | 1 | 1 | yes | characteristic |
| 132 | #11929611 | — | 4 | 2 | no | — |
| 133 | D632 | — | 2 | 1 | no | — |
| 134 | D632 | — | 2 | 1 | no | — |
| 135 | D632 | — | 2 | 1 | no | — |
| 136 | D632 | #41 | 1 | 2 | yes | — |
| 137 | #11929609 | — | 2 | 4 | no | — |
| 138 | C2×C79⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 139 | C2×C79⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 140 | C8×D79 | — | 2 | 1 | no | — |
| 141 | C8×D79 | — | 2 | 1 | no | — |
| 142 | C8×D79 | — | 4 | 1 | no | — |
| 143 | C4⋊Dic79 | — | 2 | 1 | no | — |
| 144 | C4⋊Dic79 | — | 2 | 1 | no | — |
| 145 | C4⋊Dic79 | — | 4 | 1 | no | — |
| 146 | Dic79⋊C4 | — | 4 | 1 | no | — |
| 147 | Dic79⋊C4 | — | 4 | 1 | no | — |
| 148 | Dic79⋊C4 | — | 4 | 1 | no | — |
| 149 | C22⋊Dic79 | — | 4 | 1 | no | — |
| 150 | (C2×D79)⋊C4 | — | 4 | 1 | no | — |
| 151 | (C2×D79)⋊C4 | — | 4 | 1 | no | — |
| 152 | (C2×D79)⋊C4 | — | 4 | 1 | no | — |
| 153 | (C2×D79)⋊C4 | — | 4 | 1 | no | — |
| 154 | (C2×D79)⋊C4 | — | 4 | 1 | no | — |
| 155 | (C2×D79)⋊C4 | — | 4 | 1 | no | — |
| 156 | (C2×D79)⋊C4 | — | 4 | 1 | no | — |
| 157 | C4×Dic79 | D8 | 1 | 1 | yes | characteristic |
| 158 | C4×Dic79 | D8 | 1 | 1 | yes | characteristic |
| 159 | C4×Dic79 | C2×D4 | 1 | 1 | yes | characteristic |
| 160 | C79⋊C16 | — | 2 | 1 | no | — |
| 161 | C79⋊C16 | — | 2 | 1 | no | — |
| 162 | C2×Q8×C79 | — | 2 | 1 | no | — |
| 163 | C2×D4×C79 | — | 2 | 1 | no | — |
| 164 | C22×C4×C79 | — | 4 | 1 | no | — |
| 165 | Q16×C79 | — | 2 | 1 | no | — |
| 166 | Q16×C79 | — | 2 | 1 | no | — |
| 167 | D8×C79 | — | 2 | 1 | no | — |
| 168 | D8×C79 | #41 | 1 | 2 | yes | — |
| 169 | C2×C8×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 170 | C2×C8×C79 | C24 | 1 | 1 | yes | characteristic |
| 171 | C4⋊C4×C79 | — | 2 | 1 | no | — |
| 172 | C4⋊C4×C79 | — | 2 | 1 | no | — |
| 173 | C4⋊C4×C79 | — | 4 | 1 | no | — |
| 174 | C22⋊C4×C79 | — | 4 | 1 | no | — |
| 175 | C42×C79 | — | 4 | 1 | no | — |
| 176 | C42×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 177 | C16×C79 | — | 2 | 1 | no | — |
| 178 | C16×C79 | — | 2 | 1 | no | — |
| 179 | C23×C79 | — | 4 | 1 | no | — |
| 180 | C22×D79 | — | 4 | 4 | no | — |
| 181 | C22×D79 | — | 4 | 1 | no | — |
| 182 | C22×D79 | — | 4 | 1 | no | — |
| 183 | C22×D79 | — | 8 | 2 | no | — |
| 184 | C22×D79 | — | 8 | 2 | no | — |
| 185 | C22×D79 | C2×D8 | 1 | 1 | yes | characteristic |
| 186 | Q8×C79 | — | 4 | 1 | no | — |
| 187 | Q8×C79 | — | 4 | 1 | no | — |
| 188 | D4×C79 | — | 2 | 2 | no | — |
| 189 | D4×C79 | — | 4 | 1 | no | — |
| 190 | C2×C4×C79 | — | 4 | 1 | no | — |
| 191 | C2×C4×C79 | — | 4 | 1 | no | — |
| 192 | C2×C4×C79 | — | 4 | 1 | no | — |
| 193 | C2×C4×C79 | — | 8 | 2 | no | — |
| 194 | C2×C4×C79 | C2×D8 | 1 | 1 | yes | characteristic |
| 195 | C2×C4×C79 | C2×D8 | 1 | 1 | yes | characteristic |
| 196 | C2×C4×C79 | C22×D4 | 1 | 1 | yes | characteristic |
| 197 | C22⋊D79 | — | 4 | 4 | no | — |
| 198 | C2×Dic79 | — | 4 | 1 | no | — |
| 199 | C2×Dic79 | — | 4 | 1 | no | — |
| 200 | C2×Dic79 | — | 8 | 2 | no | — |
| 201 | C2×Dic79 | C2×D8 | 1 | 1 | yes | characteristic |
| 202 | C2×Dic79 | C2×D8 | 1 | 1 | yes | characteristic |
| 203 | C2×Dic79 | C2×D8 | 1 | 1 | yes | characteristic |
| 204 | D316 | — | 2 | 2 | no | — |
| 205 | D316 | — | 4 | 1 | no | — |
| 206 | D316 | — | 4 | 1 | no | — |
| 207 | D316 | — | 4 | 1 | no | — |
| 208 | D316 | — | 8 | 2 | no | — |
| 209 | C4×D79 | — | 2 | 2 | no | — |
| 210 | C4×D79 | — | 2 | 1 | no | — |
| 211 | C4×D79 | — | 2 | 1 | no | — |
| 212 | C4×D79 | — | 4 | 1 | no | — |
| 213 | C4×D79 | — | 8 | 2 | no | — |
| 214 | C4×D79 | — | 8 | 2 | no | — |
| 215 | C4×D79 | — | 8 | 2 | no | — |
| 216 | C4×D79 | — | 8 | 2 | no | — |
| 217 | C8×C79 | — | 2 | 1 | no | — |
| 218 | C8×C79 | C2×#41 | 1 | 1 | yes | characteristic |
| 219 | C8×C79 | C2×#41 | 1 | 1 | yes | characteristic |
| 220 | C79⋊C8 | — | 2 | 1 | no | — |
| 221 | C79⋊C8 | — | 2 | 1 | no | — |
| 222 | C22×C79 | — | 4 | 2 | no | — |
| 223 | C22×C79 | — | 8 | 1 | no | — |
| 224 | C22×C79 | — | 8 | 1 | no | — |
| 225 | C22×C79 | C22×D8 | 1 | 1 | yes | characteristic |
| 226 | C2×D79 | — | 2 | 1 | no | — |
| 227 | C2×D79 | — | 2 | 1 | no | — |
| 228 | C2×D79 | — | 4 | 2 | no | — |
| 229 | C2×D79 | — | 8 | 8 | no | — |
| 230 | C2×D79 | — | 8 | 1 | no | — |
| 231 | C2×D79 | — | 8 | 1 | no | — |
| 232 | C2×D79 | — | 8 | 1 | no | — |
| 233 | C2×D79 | — | 8 | 1 | no | — |
| 234 | C2×D79 | — | 8 | 1 | no | — |
| 235 | C2×D79 | #509 | 1 | 2 | yes | — |
| 236 | C4×C79 | — | 2 | 1 | no | — |
| 237 | C4×C79 | — | 2 | 1 | no | — |
| 238 | C4×C79 | — | 8 | 1 | no | — |
| 239 | C4×C79 | — | 8 | 1 | no | — |
| 240 | C4×C79 | — | 8 | 1 | no | — |
| 241 | C4×C79 | #525 | 1 | 1 | yes | characteristic |
| 242 | C4×C79 | #575 | 1 | 1 | yes | characteristic |
| 243 | Dic79 | — | 2 | 1 | no | — |
| 244 | Dic79 | — | 2 | 1 | no | — |
| 245 | Dic79 | — | 2 | 1 | no | — |
| 246 | Dic79 | — | 8 | 1 | no | — |
| 247 | Dic79 | — | 8 | 1 | no | — |
| 248 | #33674 | — | 79 | 1 | no | maximal, Sylow |
| 249 | C2×C79 | — | 8 | 2 | no | — |
| 250 | C2×C79 | #3100 | 1 | 1 | yes | characteristic |
| 251 | C2×C79 | C2×#509 | 1 | 1 | yes | characteristic |
| 252 | C2×C79 | #3414 | 1 | 1 | yes | characteristic |
| 253 | D79 | — | 2 | 2 | no | — |
| 254 | D79 | — | 8 | 2 | no | — |
| 255 | D79 | — | 16 | 1 | no | — |
| 256 | #3168 | — | 79 | 1 | no | — |
| 257 | C2×C4×D8 | — | 79 | 1 | no | — |
| 258 | #2235 | — | 79 | 1 | no | — |
| 259 | #2232 | — | 79 | 1 | no | — |
| 260 | #2228 | — | 79 | 1 | no | — |
| 261 | #2228 | — | 79 | 1 | no | — |
| 262 | #2210 | — | 79 | 1 | no | — |
| 263 | #2210 | — | 79 | 1 | no | — |
| 264 | #2187 | — | 79 | 1 | no | — |
| 265 | #2184 | — | 79 | 1 | no | — |
| 266 | #2177 | — | 79 | 1 | no | — |
| 267 | #2177 | — | 79 | 1 | no | — |
| 268 | #2175 | — | 79 | 1 | no | — |
| 269 | #2175 | D79 | 1 | 1 | yes | characteristic, complemented |
| 270 | #2163 | — | 79 | 1 | no | — |
| 271 | C79 | #33674 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 272 | C22×D8 | — | 79 | 1 | no | — |
| 273 | #529 | — | 158 | 1 | no | — |
| 274 | C2×C4×D4 | — | 158 | 1 | no | — |
| 275 | C2×SD32 | — | 79 | 1 | no | — |
| 276 | C2×SD32 | C2×D79 | 1 | 1 | yes | characteristic |
| 277 | C2×D16 | — | 79 | 1 | no | — |
| 278 | C2×D16 | — | 79 | 1 | no | — |
| 279 | #499 | — | 79 | 1 | no | — |
| 280 | #495 | — | 79 | 1 | no | — |
| 281 | #488 | — | 158 | 1 | no | — |
| 282 | #467 | — | 79 | 1 | no | — |
| 283 | #466 | — | 79 | 1 | no | — |
| 284 | #465 | — | 158 | 1 | no | — |
| 285 | C4×Q16 | C2×D79 | 1 | 1 | yes | characteristic, complemented |
| 286 | C4×SD16 | — | 158 | 1 | no | — |
| 287 | C4×D8 | — | 79 | 1 | no | — |
| 288 | C4×D8 | — | 79 | 1 | no | — |
| 289 | C4×D8 | — | 79 | 1 | no | — |
| 290 | C4×D8 | — | 79 | 1 | no | — |
| 291 | C4×D8 | — | 158 | 1 | no | — |
| 292 | C4×D8 | — | 158 | 1 | no | — |
| 293 | C4×D8 | C2×D79 | 1 | 1 | yes | characteristic |
| 294 | C2×#107 | — | 79 | 1 | no | — |
| 295 | C2×#102 | — | 158 | 1 | no | — |
| 296 | C2×C4×C8 | — | 79 | 1 | no | — |
| 297 | #367 | — | 79 | 1 | no | — |
| 298 | #367 | — | 79 | 1 | no | — |
| 299 | #366 | — | 79 | 1 | no | — |
| 300 | #366 | C2×D79 | 1 | 1 | yes | characteristic, complemented |
| 301 | C4⋊C16 | — | 79 | 1 | no | — |
| 302 | C4⋊C16 | — | 79 | 1 | no | — |
| 303 | #358 | — | 79 | 1 | no | — |
| 304 | #358 | C2×D79 | 1 | 1 | yes | characteristic, complemented |
| 305 | #357 | — | 79 | 1 | no | — |
| 306 | #357 | — | 79 | 1 | no | — |
| 307 | #357 | — | 79 | 1 | no | — |
| 308 | #357 | — | 79 | 1 | no | — |
| 309 | #357 | — | 79 | 1 | no | — |
| 310 | #357 | C2×D79 | 1 | 1 | yes | characteristic |
| 311 | C22⋊C16 | — | 79 | 1 | no | — |
| 312 | C22⋊C16 | — | 79 | 1 | no | — |
| 313 | #346 | — | 79 | 1 | no | — |
| 314 | #346 | C2×D79 | 1 | 1 | yes | characteristic, complemented |
| 315 | C22×D4 | — | 158 | 1 | no | — |
| 316 | C23×C4 | — | 316 | 1 | no | — |
| 317 | C2×Q16 | C22×D79 | 1 | 1 | yes | characteristic |
| 318 | C2×SD16 | — | 158 | 1 | no | — |
| 319 | C2×D8 | — | 79 | 1 | no | — |
| 320 | C2×D8 | — | 79 | 1 | no | — |
| 321 | C2×D8 | — | 158 | 1 | no | — |
| 322 | C2×D8 | — | 158 | 2 | no | — |
| 323 | C2×D8 | — | 158 | 2 | no | — |
| 324 | C2×D8 | C22×D79 | 1 | 1 | yes | characteristic |
| 325 | C22×C8 | — | 79 | 1 | no | — |
| 326 | C22×C8 | — | 79 | 1 | no | — |
| 327 | #126 | — | 316 | 1 | no | — |
| 328 | #125 | — | 158 | 1 | no | — |
| 329 | #124 | — | 158 | 1 | no | — |
| 330 | #123 | — | 316 | 1 | no | — |
| 331 | C22⋊Q8 | — | 158 | 1 | no | — |
| 332 | #121 | — | 158 | 1 | no | — |
| 333 | C4×Q8 | — | 2 | 1 | no | — |
| 334 | C4×D4 | — | 2 | 1 | no | — |
| 335 | C4×D4 | — | 316 | 1 | no | — |
| 336 | C4×D4 | — | 316 | 1 | no | — |
| 337 | C4×D4 | — | 316 | 1 | no | — |
| 338 | C4×D4 | — | 158 | 1 | no | — |
| 339 | C4×D4 | — | 158 | 1 | no | — |
| 340 | C4×D4 | — | 158 | 1 | no | — |
| 341 | C4×D4 | — | 158 | 1 | no | — |
| 342 | #117 | — | 316 | 1 | no | — |
| 343 | C2×C4⋊C4 | — | 158 | 1 | no | — |
| 344 | C2×C22⋊C4 | — | 316 | 1 | no | — |
| 345 | C2×C42 | — | 79 | 1 | no | — |
| 346 | SD32 | — | 2 | 2 | no | — |
| 347 | SD32 | — | 158 | 2 | no | — |
| 348 | D16 | — | 158 | 2 | no | — |
| 349 | D16 | — | 158 | 2 | no | — |
| 350 | C2×C16 | — | 79 | 1 | no | — |
| 351 | C2×C16 | — | 79 | 1 | no | — |
| 352 | C2×C16 | C22×D79 | 1 | 1 | yes | characteristic |
| 353 | C2×C16 | C22×D79 | 1 | 1 | yes | characteristic |
| 354 | #107 | — | 79 | 1 | no | — |
| 355 | #107 | — | 79 | 1 | no | — |
| 356 | #107 | — | 158 | 1 | no | — |
| 357 | #107 | C22×D79 | 1 | 1 | yes | characteristic |
| 358 | #107 | C22×D79 | 1 | 1 | yes | characteristic |
| 359 | #106 | — | 158 | 1 | no | — |
| 360 | #103 | — | 2 | 1 | no | — |
| 361 | #103 | — | 158 | 1 | no | — |
| 362 | #102 | — | 2 | 1 | no | — |
| 363 | #102 | — | 158 | 1 | no | — |
| 364 | #102 | — | 158 | 1 | no | — |
| 365 | #102 | — | 158 | 1 | no | — |
| 366 | #102 | — | 158 | 1 | no | — |
| 367 | #102 | — | 158 | 1 | no | — |
| 368 | C4×C8 | — | 79 | 1 | no | — |
| 369 | C4×C8 | — | 79 | 1 | no | — |
| 370 | C4×C8 | — | 79 | 1 | no | — |
| 371 | C4×C8 | C22×D79 | 1 | 1 | yes | characteristic |
| 372 | C24 | — | 316 | 1 | no | — |
| 373 | C2×Q8 | — | 2 | 1 | no | — |
| 374 | C2×D4 | — | 2 | 1 | no | — |
| 375 | C2×D4 | — | 316 | 1 | no | — |
| 376 | C2×D4 | — | 316 | 1 | no | — |
| 377 | C2×D4 | — | 316 | 2 | no | — |
| 378 | C2×D4 | — | 158 | 4 | no | — |
| 379 | C2×D4 | — | 158 | 1 | no | — |
| 380 | C2×D4 | — | 158 | 1 | no | — |
| 381 | C22×C4 | — | 4 | 1 | no | — |
| 382 | C22×C4 | — | 316 | 1 | no | — |
| 383 | C22×C4 | — | 316 | 1 | no | — |
| 384 | C22×C4 | — | 316 | 1 | no | — |
| 385 | C22×C4 | — | 316 | 1 | no | — |
| 386 | C22×C4 | — | 316 | 1 | no | — |
| 387 | C22×C4 | — | 79 | 1 | no | — |
| 388 | C22×C4 | — | 79 | 1 | no | — |
| 389 | C22×C4 | — | 79 | 1 | no | — |
| 390 | C22×C4 | — | 632 | 4 | no | — |
| 391 | Q16 | — | 2 | 1 | no | — |
| 392 | Q16 | — | 2 | 1 | no | — |
| 393 | SD16 | — | 316 | 2 | no | — |
| 394 | D8 | — | 2 | 1 | no | — |
| 395 | D8 | — | 79 | 2 | no | — |
| 396 | D8 | — | 158 | 4 | no | — |
| 397 | D8 | — | 158 | 1 | no | — |
| 398 | D8 | — | 158 | 1 | no | — |
| 399 | D8 | — | 158 | 1 | no | — |
| 400 | D8 | #11929624 | 1 | 2 | yes | — |
| 401 | C2×C8 | — | 316 | 1 | no | — |
| 402 | C2×C8 | — | 79 | 1 | no | — |
| 403 | C2×C8 | — | 79 | 1 | no | — |
| 404 | C2×C8 | — | 158 | 1 | no | — |
| 405 | C2×C8 | — | 158 | 1 | no | — |
| 406 | C2×C8 | D4×D79 | 1 | 1 | yes | characteristic |
| 407 | C2×C8 | C23×D79 | 1 | 1 | yes | characteristic |
| 408 | C4⋊C4 | — | 2 | 1 | no | — |
| 409 | C4⋊C4 | — | 2 | 1 | no | — |
| 410 | C4⋊C4 | — | 4 | 1 | no | — |
| 411 | C4⋊C4 | — | 316 | 1 | no | — |
| 412 | C4⋊C4 | — | 316 | 1 | no | — |
| 413 | C4⋊C4 | — | 316 | 1 | no | — |
| 414 | C4⋊C4 | — | 316 | 1 | no | — |
| 415 | C4⋊C4 | — | 158 | 1 | no | — |
| 416 | C4⋊C4 | — | 158 | 1 | no | — |
| 417 | C22⋊C4 | — | 4 | 1 | no | — |
| 418 | C22⋊C4 | — | 316 | 1 | no | — |
| 419 | C22⋊C4 | — | 316 | 1 | no | — |
| 420 | C22⋊C4 | — | 316 | 1 | no | — |
| 421 | C22⋊C4 | — | 316 | 1 | no | — |
| 422 | C22⋊C4 | — | 316 | 1 | no | — |
| 423 | C22⋊C4 | — | 316 | 1 | no | — |
| 424 | C22⋊C4 | — | 316 | 1 | no | — |
| 425 | C22⋊C4 | — | 316 | 1 | no | — |
| 426 | C42 | — | 4 | 1 | no | — |
| 427 | C42 | — | 79 | 1 | no | — |
| 428 | C42 | — | 79 | 1 | no | — |
| 429 | C42 | — | 79 | 1 | no | — |
| 430 | C42 | D4×D79 | 1 | 1 | yes | characteristic |
| 431 | C16 | — | 2 | 1 | no | — |
| 432 | C16 | — | 2 | 1 | no | — |
| 433 | C16 | — | 158 | 1 | no | — |
| 434 | C16 | — | 158 | 1 | no | — |
| 435 | C23 | — | 4 | 1 | no | — |
| 436 | C23 | — | 316 | 4 | no | — |
| 437 | C23 | — | 316 | 1 | no | — |
| 438 | C23 | — | 316 | 1 | no | — |
| 439 | C23 | — | 79 | 1 | no | — |
| 440 | C23 | — | 632 | 2 | no | — |
| 441 | C23 | — | 632 | 2 | no | — |
| 442 | Q8 | — | 4 | 1 | no | — |
| 443 | Q8 | — | 4 | 1 | no | — |
| 444 | D4 | — | 2 | 2 | no | — |
| 445 | D4 | — | 4 | 1 | no | — |
| 446 | D4 | — | 316 | 4 | no | — |
| 447 | D4 | — | 316 | 1 | no | — |
| 448 | D4 | — | 316 | 1 | no | — |
| 449 | D4 | — | 316 | 1 | no | — |
| 450 | D4 | — | 632 | 2 | no | — |
| 451 | D4 | — | 158 | 2 | no | — |
| 452 | C2×C4 | — | 4 | 1 | no | — |
| 453 | C2×C4 | — | 4 | 1 | no | — |
| 454 | C2×C4 | — | 4 | 1 | no | — |
| 455 | C2×C4 | — | 8 | 2 | no | — |
| 456 | C2×C4 | — | 316 | 1 | no | — |
| 457 | C2×C4 | — | 316 | 1 | no | — |
| 458 | C2×C4 | — | 316 | 1 | no | — |
| 459 | C2×C4 | — | 79 | 1 | no | — |
| 460 | C2×C4 | — | 79 | 1 | no | — |
| 461 | C2×C4 | — | 79 | 1 | no | — |
| 462 | C2×C4 | — | 632 | 2 | no | — |
| 463 | C2×C4 | — | 632 | 2 | no | — |
| 464 | C2×C4 | — | 632 | 2 | no | — |
| 465 | C2×C4 | — | 632 | 2 | no | — |
| 466 | C2×C4 | — | 632 | 2 | no | — |
| 467 | C2×C4 | — | 158 | 2 | no | — |
| 468 | C2×C4 | — | 158 | 1 | no | — |
| 469 | C2×C4 | — | 158 | 1 | no | — |
| 470 | C2×C4 | D8×D79 | 1 | 1 | yes | characteristic |
| 471 | C2×C4 | D8×D79 | 1 | 1 | yes | characteristic |
| 472 | C2×C4 | C2×D4×D79 | 1 | 1 | yes | characteristic |
| 473 | C8 | — | 2 | 1 | no | — |
| 474 | C8 | — | 158 | 1 | no | — |
| 475 | C8 | — | 158 | 1 | no | — |
| 476 | C8 | #41×D79 | 1 | 1 | yes | characteristic |
| 477 | C8 | C2×#11929624 | 1 | 1 | yes | characteristic |
| 478 | C22 | — | 4 | 2 | no | — |
| 479 | C22 | — | 8 | 1 | no | — |
| 480 | C22 | — | 8 | 1 | no | — |
| 481 | C22 | — | 316 | 2 | no | — |
| 482 | C22 | — | 79 | 2 | no | — |
| 483 | C22 | — | 632 | 8 | no | — |
| 484 | C22 | — | 632 | 1 | no | — |
| 485 | C22 | — | 632 | 1 | no | — |
| 486 | C22 | — | 632 | 1 | no | — |
| 487 | C22 | — | 632 | 1 | no | — |
| 488 | C22 | — | 632 | 1 | no | — |
| 489 | C22 | — | 158 | 1 | no | — |
| 490 | C22 | — | 158 | 1 | no | — |
| 491 | C22 | C2×D8×D79 | 1 | 1 | yes | characteristic |
| 492 | C4 | — | 2 | 1 | no | — |
| 493 | C4 | — | 2 | 1 | no | — |
| 494 | C4 | — | 8 | 1 | no | — |
| 495 | C4 | — | 8 | 1 | no | — |
| 496 | C4 | — | 8 | 1 | no | — |
| 497 | C4 | — | 632 | 1 | no | — |
| 498 | C4 | — | 632 | 1 | no | — |
| 499 | C4 | — | 158 | 1 | no | — |
| 500 | C4 | — | 158 | 1 | no | — |
| 501 | C4 | — | 158 | 1 | no | — |
| 502 | C4 | #19099072 | 1 | 1 | yes | characteristic |
| 503 | C4 | #19099360 | 1 | 1 | yes | characteristic |
| 504 | C2 | — | 8 | 2 | no | — |
| 505 | C2 | — | 632 | 2 | no | — |
| 506 | C2 | — | 158 | 2 | no | — |
| 507 | C2 | — | 1264 | 1 | no | — |
| 508 | C2 | #23773398 | 1 | 1 | yes | characteristic |
| 509 | C2 | #509×D79 | 1 | 1 | yes | characteristic |
| 510 | C2 | #23776535 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta