| 1 | C2×#16837836 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #21437197 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #21433814 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #472×D59 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #21426227 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #21426226 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #21426225 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #21426224 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #21426215 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #21426214 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #21426213 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #21425889 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #21425842 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #361×D59 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C59×#2221 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #16838198 | — | 2 | 1 | no | — |
| 17 | AGL(1,ℤ/8)×D59 | — | 2 | 1 | no | — |
| 18 | C2×#14273746 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×D8×D59 | C22 | 1 | 1 | yes | characteristic |
| 20 | #131×D59 | C22 | 1 | 1 | yes | characteristic |
| 21 | #16837836 | — | 2 | 1 | no | — |
| 22 | #16837836 | — | 2 | 1 | no | — |
| 23 | #16837836 | — | 2 | 1 | no | — |
| 24 | #16837836 | — | 2 | 1 | no | — |
| 25 | C2×#14273672 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C2×#14273671 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C2×#14273668 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | #16837820 | — | 2 | 1 | no | — |
| 29 | #16837820 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #16837819 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | #16837818 | — | 2 | 1 | no | — |
| 32 | #16837818 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C2×#14273666 | — | 2 | 1 | no | — |
| 34 | C2×#14273666 | C22 | 1 | 1 | yes | characteristic |
| 35 | M32×D59 | — | 2 | 1 | no | — |
| 36 | M32×D59 | C22 | 1 | 1 | yes | characteristic |
| 37 | #16837678 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | #16837677 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #16837673 | C22 | 1 | 1 | yes | characteristic |
| 40 | #16837672 | C22 | 1 | 1 | yes | characteristic |
| 41 | #16837671 | — | 2 | 1 | no | — |
| 42 | #16837670 | — | 2 | 1 | no | — |
| 43 | #16837669 | C22 | 1 | 1 | yes | characteristic |
| 44 | #16837669 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #16837664 | — | 2 | 1 | no | — |
| 46 | #16837663 | — | 2 | 1 | no | — |
| 47 | #108×D59 | C22 | 1 | 1 | yes | characteristic |
| 48 | #108×D59 | C22 | 1 | 1 | yes | characteristic |
| 49 | #16837383 | — | 2 | 1 | no | — |
| 50 | #100×D59 | — | 2 | 1 | no | — |
| 51 | #16837232 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #16837231 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #16837231 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #16837219 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #16837217 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #16837216 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #16837215 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #16837215 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #16837214 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | C2×D16×C59 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | C59×#504 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | C59×#472 | C22 | 1 | 1 | yes | characteristic |
| 63 | C59×#472 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | C59×#368 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | C59×#361 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | C59×#361 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | C2×#11745687 | — | 2 | 1 | no | — |
| 68 | #41×D59 | D4 | 1 | 1 | yes | characteristic |
| 69 | C2×D4×D59 | — | 2 | 1 | no | — |
| 70 | #14273760 | — | 2 | 1 | no | — |
| 71 | #14273757 | — | 2 | 1 | no | — |
| 72 | #14273756 | — | 4 | 1 | no | — |
| 73 | #14273755 | — | 2 | 1 | no | — |
| 74 | #14273754 | — | 4 | 1 | no | — |
| 75 | #14273753 | — | 2 | 1 | no | — |
| 76 | #14273753 | — | 2 | 1 | no | — |
| 77 | #14273752 | — | 2 | 1 | no | — |
| 78 | #14273751 | — | 4 | 1 | no | — |
| 79 | #14273751 | — | 4 | 1 | no | — |
| 80 | #14273748 | — | 4 | 1 | no | — |
| 81 | #14273746 | — | 2 | 1 | no | — |
| 82 | #14273746 | — | 2 | 1 | no | — |
| 83 | #14273746 | — | 2 | 1 | no | — |
| 84 | #14273746 | — | 2 | 1 | no | — |
| 85 | #14273746 | — | 4 | 1 | no | — |
| 86 | C2×Dic236 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×#11745670 | — | 2 | 1 | no | — |
| 88 | SD16×D59 | — | 4 | 1 | no | — |
| 89 | C2×D472 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×#11745669 | — | 2 | 1 | no | — |
| 91 | D8×D59 | — | 2 | 1 | no | — |
| 92 | D8×D59 | — | 2 | 1 | no | — |
| 93 | D8×D59 | — | 2 | 1 | no | — |
| 94 | D8×D59 | — | 2 | 1 | no | — |
| 95 | D8×D59 | — | 4 | 1 | no | — |
| 96 | #14273735 | — | 2 | 1 | no | — |
| 97 | #14273735 | D4 | 1 | 1 | yes | characteristic |
| 98 | #14273734 | D4 | 1 | 1 | yes | characteristic |
| 99 | #14273733 | — | 2 | 1 | no | — |
| 100 | #14273733 | C23 | 1 | 1 | yes | characteristic |
| 101 | M16×D59 | — | 2 | 1 | no | — |
| 102 | M16×D59 | — | 2 | 1 | no | — |
| 103 | M16×D59 | — | 2 | 1 | no | — |
| 104 | M16×D59 | D4 | 1 | 1 | yes | characteristic |
| 105 | C2×C8×D59 | — | 2 | 1 | no | — |
| 106 | C2×C8×D59 | C23 | 1 | 1 | yes | characteristic |
| 107 | #14273672 | — | 2 | 1 | no | — |
| 108 | #14273672 | — | 2 | 1 | no | — |
| 109 | #14273671 | — | 2 | 1 | no | — |
| 110 | #14273671 | — | 2 | 1 | no | — |
| 111 | #14273668 | — | 2 | 1 | no | — |
| 112 | #14273668 | — | 2 | 1 | no | — |
| 113 | #14273667 | — | 2 | 1 | no | — |
| 114 | #14273667 | C23 | 1 | 1 | yes | characteristic |
| 115 | #14273666 | — | 2 | 1 | no | — |
| 116 | #14273666 | — | 2 | 1 | no | — |
| 117 | #14273666 | — | 2 | 1 | no | — |
| 118 | #14273666 | D4 | 1 | 1 | yes | characteristic |
| 119 | #14273666 | D4 | 1 | 1 | yes | characteristic |
| 120 | #14273666 | D4 | 1 | 1 | yes | characteristic |
| 121 | #14273666 | D4 | 1 | 1 | yes | characteristic |
| 122 | C2×C59⋊C16 | — | 2 | 1 | no | — |
| 123 | C2×C59⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 124 | C16×D59 | — | 2 | 1 | no | — |
| 125 | C16×D59 | — | 2 | 1 | no | — |
| 126 | C16×D59 | — | 2 | 1 | no | — |
| 127 | #14273663 | C23 | 1 | 1 | yes | characteristic |
| 128 | #14273663 | C23 | 1 | 1 | yes | characteristic |
| 129 | #14273662 | — | 2 | 1 | no | — |
| 130 | #14273662 | — | 2 | 1 | no | — |
| 131 | #14273645 | — | 2 | 1 | no | — |
| 132 | #14273645 | — | 2 | 1 | no | — |
| 133 | #14273644 | — | 2 | 1 | no | — |
| 134 | #14273644 | — | 2 | 1 | no | — |
| 135 | #14273643 | — | 2 | 1 | no | — |
| 136 | #14273643 | — | 2 | 1 | no | — |
| 137 | AGL(1,ℤ/8)×C59 | — | 2 | 1 | no | — |
| 138 | AGL(1,ℤ/8)×C59 | — | 2 | 1 | no | — |
| 139 | C2×D8×C59 | C23 | 1 | 1 | yes | characteristic |
| 140 | C2×D8×C59 | C23 | 1 | 1 | yes | characteristic |
| 141 | #131×C59 | C23 | 1 | 1 | yes | characteristic |
| 142 | D16×C59 | — | 2 | 1 | no | — |
| 143 | D16×C59 | — | 2 | 1 | no | — |
| 144 | M32×C59 | — | 2 | 1 | no | — |
| 145 | M32×C59 | C23 | 1 | 1 | yes | characteristic |
| 146 | C2×C16×C59 | — | 2 | 1 | no | — |
| 147 | C2×C16×C59 | C23 | 1 | 1 | yes | characteristic |
| 148 | #108×C59 | C23 | 1 | 1 | yes | characteristic |
| 149 | #108×C59 | C23 | 1 | 1 | yes | characteristic |
| 150 | #100×C59 | — | 2 | 1 | no | — |
| 151 | #100×C59 | — | 2 | 1 | no | — |
| 152 | C23×D59 | — | 4 | 1 | no | — |
| 153 | #41×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 154 | C2×D4×C59 | — | 2 | 1 | no | — |
| 155 | C2×D4×C59 | — | 2 | 1 | no | — |
| 156 | C2×C22⋊D59 | — | 4 | 1 | no | — |
| 157 | C2×C22⋊D59 | — | 4 | 1 | no | — |
| 158 | C22×Dic59 | — | 4 | 1 | no | — |
| 159 | #11745689 | D8 | 1 | 1 | yes | characteristic |
| 160 | Q8×D59 | D8 | 1 | 1 | yes | characteristic |
| 161 | #11745687 | — | 2 | 1 | no | — |
| 162 | #11745687 | — | 4 | 1 | no | — |
| 163 | #11745687 | — | 4 | 1 | no | — |
| 164 | #11745687 | — | 4 | 1 | no | — |
| 165 | #11745687 | — | 4 | 1 | no | — |
| 166 | #11745687 | D8 | 1 | 1 | yes | characteristic |
| 167 | D4×D59 | — | 2 | 1 | no | — |
| 168 | D4×D59 | — | 4 | 1 | no | — |
| 169 | D4×D59 | — | 4 | 1 | no | — |
| 170 | D4×D59 | — | 4 | 1 | no | — |
| 171 | D4×D59 | — | 4 | 1 | no | — |
| 172 | D4×D59 | D8 | 1 | 1 | yes | characteristic |
| 173 | #11745685 | — | 2 | 1 | no | — |
| 174 | #11745685 | C2×D4 | 1 | 1 | yes | characteristic |
| 175 | C2×D236 | — | 2 | 1 | no | — |
| 176 | C2×C4×D59 | — | 2 | 1 | no | — |
| 177 | C2×C4×D59 | C2×D4 | 1 | 1 | yes | characteristic |
| 178 | C2×Dic118 | — | 2 | 1 | no | — |
| 179 | SD16×C59 | — | 4 | 1 | no | — |
| 180 | SD16×C59 | — | 4 | 1 | no | — |
| 181 | D8×C59 | — | 2 | 1 | no | — |
| 182 | D8×C59 | — | 2 | 1 | no | — |
| 183 | D8×C59 | — | 2 | 1 | no | — |
| 184 | D8×C59 | — | 2 | 1 | no | — |
| 185 | D8×C59 | — | 4 | 1 | no | — |
| 186 | D8×C59 | — | 4 | 1 | no | — |
| 187 | M16×C59 | — | 2 | 1 | no | — |
| 188 | M16×C59 | — | 2 | 1 | no | — |
| 189 | M16×C59 | — | 2 | 1 | no | — |
| 190 | M16×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 191 | C2×C8×C59 | — | 2 | 1 | no | — |
| 192 | C2×C8×C59 | C24 | 1 | 1 | yes | characteristic |
| 193 | #11745672 | — | 4 | 1 | no | — |
| 194 | #11745671 | — | 4 | 1 | no | — |
| 195 | #11745670 | — | 4 | 1 | no | — |
| 196 | #11745670 | — | 4 | 1 | no | — |
| 197 | #11745670 | — | 4 | 1 | no | — |
| 198 | #11745670 | — | 4 | 1 | no | — |
| 199 | #11745670 | — | 4 | 1 | no | — |
| 200 | #11745669 | — | 4 | 1 | no | — |
| 201 | #11745669 | — | 4 | 1 | no | — |
| 202 | #11745669 | — | 4 | 1 | no | — |
| 203 | #11745669 | — | 4 | 1 | no | — |
| 204 | #11745669 | — | 4 | 1 | no | — |
| 205 | #11745664 | — | 2 | 1 | no | — |
| 206 | #11745664 | — | 2 | 1 | no | — |
| 207 | #11745664 | — | 2 | 1 | no | — |
| 208 | #11745664 | C2×D4 | 1 | 1 | yes | characteristic |
| 209 | C2×C59⋊C8 | — | 2 | 1 | no | — |
| 210 | C2×C59⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 211 | Dic236 | — | 2 | 1 | no | — |
| 212 | Dic236 | — | 2 | 1 | no | — |
| 213 | Dic236 | — | 4 | 1 | no | — |
| 214 | D472 | — | 2 | 1 | no | — |
| 215 | D472 | — | 2 | 1 | no | — |
| 216 | D472 | — | 4 | 1 | no | — |
| 217 | #11745660 | — | 4 | 1 | no | — |
| 218 | #11745660 | — | 4 | 1 | no | — |
| 219 | #11745659 | — | 2 | 1 | no | — |
| 220 | #11745659 | — | 2 | 1 | no | — |
| 221 | #11745659 | — | 2 | 1 | no | — |
| 222 | #11745659 | — | 4 | 1 | no | — |
| 223 | #11745659 | — | 4 | 1 | no | — |
| 224 | C8×D59 | — | 2 | 1 | no | — |
| 225 | C8×D59 | — | 2 | 1 | no | — |
| 226 | C8×D59 | — | 2 | 1 | no | — |
| 227 | C8×D59 | — | 4 | 1 | no | — |
| 228 | C8×D59 | — | 4 | 1 | no | — |
| 229 | C8×D59 | C2×D4 | 1 | 1 | yes | characteristic |
| 230 | C8×D59 | C2×D4 | 1 | 1 | yes | characteristic |
| 231 | C8×D59 | #41 | 1 | 1 | yes | characteristic |
| 232 | C8×D59 | #41 | 1 | 1 | yes | characteristic |
| 233 | C16×C59 | — | 2 | 1 | no | — |
| 234 | C16×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 235 | C16×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 236 | C59⋊C16 | — | 2 | 1 | no | — |
| 237 | C59⋊C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 238 | C59⋊C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 239 | C23×C59 | — | 4 | 1 | no | — |
| 240 | C23×C59 | — | 4 | 1 | no | — |
| 241 | C22×D59 | — | 2 | 1 | no | — |
| 242 | C22×D59 | — | 4 | 1 | no | — |
| 243 | C22×D59 | — | 8 | 1 | no | — |
| 244 | C22×D59 | — | 8 | 1 | no | — |
| 245 | C22×D59 | — | 16 | 2 | no | — |
| 246 | C22×D59 | #135 | 1 | 1 | yes | characteristic |
| 247 | Q8×C59 | C2×D8 | 1 | 1 | yes | characteristic |
| 248 | D4×C59 | — | 2 | 1 | no | — |
| 249 | D4×C59 | — | 4 | 1 | no | — |
| 250 | D4×C59 | — | 4 | 1 | no | — |
| 251 | D4×C59 | — | 4 | 1 | no | — |
| 252 | D4×C59 | — | 4 | 1 | no | — |
| 253 | D4×C59 | C2×D8 | 1 | 1 | yes | characteristic |
| 254 | C2×C4×C59 | — | 2 | 1 | no | — |
| 255 | C2×C4×C59 | C22×D4 | 1 | 1 | yes | characteristic |
| 256 | C22⋊D59 | — | 2 | 1 | no | — |
| 257 | C22⋊D59 | — | 2 | 1 | no | — |
| 258 | C22⋊D59 | — | 2 | 1 | no | — |
| 259 | C22⋊D59 | — | 8 | 1 | no | — |
| 260 | C22⋊D59 | — | 8 | 1 | no | — |
| 261 | C22⋊D59 | — | 8 | 1 | no | — |
| 262 | C22⋊D59 | — | 8 | 1 | no | — |
| 263 | C2×Dic59 | — | 2 | 1 | no | — |
| 264 | C2×Dic59 | — | 4 | 1 | no | — |
| 265 | C2×Dic59 | — | 8 | 1 | no | — |
| 266 | C2×Dic59 | — | 8 | 1 | no | — |
| 267 | C2×Dic59 | #135 | 1 | 1 | yes | characteristic |
| 268 | D236 | — | 2 | 1 | no | — |
| 269 | D236 | — | 4 | 1 | no | — |
| 270 | D236 | — | 4 | 1 | no | — |
| 271 | D236 | C2×D8 | 1 | 1 | yes | characteristic |
| 272 | C4×D59 | — | 2 | 1 | no | — |
| 273 | C4×D59 | — | 2 | 1 | no | — |
| 274 | C4×D59 | — | 2 | 1 | no | — |
| 275 | C4×D59 | #121 | 1 | 1 | yes | characteristic |
| 276 | C4×D59 | #121 | 1 | 1 | yes | characteristic |
| 277 | C4×D59 | C2×D8 | 1 | 1 | yes | characteristic |
| 278 | C4×D59 | C2×D8 | 1 | 1 | yes | characteristic |
| 279 | Dic118 | — | 2 | 1 | no | — |
| 280 | Dic118 | — | 4 | 1 | no | — |
| 281 | Dic118 | — | 4 | 1 | no | — |
| 282 | Dic118 | C2×D8 | 1 | 1 | yes | characteristic |
| 283 | C8×C59 | — | 2 | 1 | no | — |
| 284 | C8×C59 | — | 4 | 1 | no | — |
| 285 | C8×C59 | — | 4 | 1 | no | — |
| 286 | C8×C59 | C22×D4 | 1 | 1 | yes | characteristic |
| 287 | C8×C59 | C2×#41 | 1 | 1 | yes | characteristic |
| 288 | C59⋊C8 | — | 2 | 1 | no | — |
| 289 | C59⋊C8 | — | 4 | 1 | no | — |
| 290 | C59⋊C8 | — | 4 | 1 | no | — |
| 291 | C59⋊C8 | #121 | 1 | 1 | yes | characteristic |
| 292 | C59⋊C8 | #121 | 1 | 1 | yes | characteristic |
| 293 | #33618 | — | 59 | 1 | no | maximal, Sylow |
| 294 | C22×C59 | — | 2 | 1 | no | — |
| 295 | C22×C59 | — | 8 | 1 | no | — |
| 296 | C22×C59 | — | 8 | 1 | no | — |
| 297 | C22×C59 | — | 16 | 1 | no | — |
| 298 | C22×C59 | — | 16 | 1 | no | — |
| 299 | C22×C59 | C2×#135 | 1 | 1 | yes | characteristic |
| 300 | C2×D59 | — | 2 | 1 | no | — |
| 301 | C2×D59 | — | 4 | 1 | no | — |
| 302 | C2×D59 | — | 8 | 1 | no | — |
| 303 | C2×D59 | — | 8 | 1 | no | — |
| 304 | C2×D59 | — | 16 | 2 | no | — |
| 305 | C2×D59 | — | 16 | 2 | no | — |
| 306 | C2×D59 | — | 16 | 1 | no | — |
| 307 | C2×D59 | #466 | 1 | 1 | yes | characteristic |
| 308 | C2×D59 | #466 | 1 | 1 | yes | characteristic |
| 309 | C4×C59 | — | 2 | 1 | no | — |
| 310 | C4×C59 | C2×#121 | 1 | 1 | yes | characteristic |
| 311 | C4×C59 | C22×D8 | 1 | 1 | yes | characteristic |
| 312 | Dic59 | — | 2 | 1 | no | — |
| 313 | Dic59 | — | 8 | 1 | no | — |
| 314 | Dic59 | #466 | 1 | 1 | yes | characteristic |
| 315 | Dic59 | #466 | 1 | 1 | yes | characteristic |
| 316 | C2×#509 | — | 59 | 1 | no | — |
| 317 | #3407 | — | 59 | 1 | no | — |
| 318 | #3067 | — | 59 | 1 | no | — |
| 319 | C2×#472 | — | 59 | 1 | no | — |
| 320 | #2223 | — | 59 | 1 | no | — |
| 321 | #2223 | — | 59 | 1 | no | — |
| 322 | #2223 | — | 59 | 1 | no | — |
| 323 | #2223 | — | 59 | 1 | no | — |
| 324 | #2221 | — | 59 | 1 | no | — |
| 325 | #2221 | — | 59 | 1 | no | — |
| 326 | #2221 | — | 59 | 1 | no | — |
| 327 | #2221 | D59 | 1 | 1 | yes | characteristic, complemented |
| 328 | #2161 | — | 59 | 1 | no | — |
| 329 | #2148 | — | 59 | 1 | no | — |
| 330 | C2×#361 | — | 59 | 1 | no | — |
| 331 | C2×C59 | — | 2 | 1 | no | — |
| 332 | C2×C59 | — | 4 | 1 | no | — |
| 333 | C2×C59 | — | 16 | 1 | no | — |
| 334 | C2×C59 | — | 16 | 1 | no | — |
| 335 | C2×C59 | C2×#466 | 1 | 1 | yes | characteristic |
| 336 | D59 | — | 2 | 1 | no | — |
| 337 | D59 | — | 2 | 1 | no | — |
| 338 | D59 | — | 4 | 1 | no | — |
| 339 | D59 | — | 16 | 1 | no | — |
| 340 | #575 | — | 118 | 1 | no | — |
| 341 | C2×AGL(1,ℤ/8) | — | 118 | 1 | no | — |
| 342 | C2×#135 | — | 59 | 1 | no | — |
| 343 | C22×D8 | — | 59 | 1 | no | — |
| 344 | C2×#131 | — | 59 | 1 | no | — |
| 345 | #509 | — | 118 | 1 | no | — |
| 346 | #509 | — | 118 | 1 | no | — |
| 347 | #509 | — | 118 | 1 | no | — |
| 348 | #509 | — | 118 | 1 | no | — |
| 349 | C2×SD32 | — | 59 | 1 | no | — |
| 350 | C2×SD32 | — | 59 | 1 | no | — |
| 351 | C2×D16 | — | 59 | 1 | no | — |
| 352 | C2×D16 | C2×D59 | 1 | 1 | yes | characteristic, complemented |
| 353 | #504 | — | 59 | 1 | no | — |
| 354 | #504 | — | 59 | 1 | no | — |
| 355 | #504 | — | 59 | 1 | no | — |
| 356 | #504 | — | 118 | 1 | no | — |
| 357 | #504 | — | 118 | 1 | no | — |
| 358 | #504 | C2×D59 | 1 | 1 | yes | characteristic, complemented |
| 359 | C2×M32 | — | 59 | 1 | no | — |
| 360 | C2×M32 | — | 59 | 1 | no | — |
| 361 | C2×M32 | — | 118 | 1 | no | — |
| 362 | C2×M32 | — | 118 | 1 | no | — |
| 363 | #473 | — | 59 | 1 | no | — |
| 364 | #473 | — | 59 | 1 | no | — |
| 365 | #472 | — | 59 | 1 | no | — |
| 366 | #472 | — | 59 | 1 | no | — |
| 367 | #472 | — | 59 | 1 | no | — |
| 368 | #472 | — | 59 | 1 | no | — |
| 369 | #472 | — | 118 | 1 | no | — |
| 370 | #472 | — | 118 | 1 | no | — |
| 371 | #472 | C2×D59 | 1 | 1 | yes | characteristic |
| 372 | #472 | C2×D59 | 1 | 1 | yes | characteristic, complemented |
| 373 | #471 | — | 118 | 1 | no | — |
| 374 | #471 | — | 118 | 1 | no | — |
| 375 | C2×#108 | — | 59 | 1 | no | — |
| 376 | C2×#108 | — | 59 | 1 | no | — |
| 377 | #413 | — | 118 | 1 | no | — |
| 378 | C2×#100 | — | 118 | 1 | no | — |
| 379 | #368 | — | 59 | 1 | no | — |
| 380 | #368 | — | 59 | 1 | no | — |
| 381 | #368 | — | 59 | 1 | no | — |
| 382 | #368 | C2×D59 | 1 | 1 | yes | characteristic, complemented |
| 383 | #362 | — | 59 | 1 | no | — |
| 384 | #362 | — | 59 | 1 | no | — |
| 385 | #361 | — | 59 | 1 | no | — |
| 386 | #361 | — | 59 | 1 | no | — |
| 387 | #361 | — | 59 | 1 | no | — |
| 388 | #361 | — | 59 | 1 | no | — |
| 389 | #361 | C2×D59 | 1 | 1 | yes | characteristic, complemented |
| 390 | #361 | C2×D59 | 1 | 1 | yes | characteristic, complemented |
| 391 | C59 | #33618 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 392 | C2×#41 | — | 59 | 1 | no | — |
| 393 | C2×#41 | — | 118 | 1 | no | — |
| 394 | C22×D4 | — | 118 | 1 | no | — |
| 395 | #137 | — | 118 | 1 | no | — |
| 396 | #137 | — | 118 | 1 | no | — |
| 397 | #137 | — | 236 | 1 | no | — |
| 398 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 399 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 400 | AGL(1,ℤ/8) | — | 118 | 1 | no | — |
| 401 | AGL(1,ℤ/8) | — | 118 | 1 | no | — |
| 402 | AGL(1,ℤ/8) | — | 118 | 1 | no | — |
| 403 | AGL(1,ℤ/8) | — | 118 | 1 | no | — |
| 404 | AGL(1,ℤ/8) | — | 236 | 1 | no | — |
| 405 | AGL(1,ℤ/8) | — | 236 | 1 | no | — |
| 406 | AGL(1,ℤ/8) | — | 236 | 1 | no | — |
| 407 | #135 | — | 118 | 1 | no | — |
| 408 | #135 | — | 118 | 1 | no | — |
| 409 | #135 | — | 118 | 1 | no | — |
| 410 | #135 | — | 118 | 1 | no | — |
| 411 | #135 | — | 236 | 1 | no | — |
| 412 | #135 | — | 236 | 1 | no | — |
| 413 | C2×Q16 | — | 59 | 1 | no | — |
| 414 | C2×SD16 | — | 118 | 1 | no | — |
| 415 | C2×SD16 | — | 236 | 1 | no | — |
| 416 | C2×D8 | — | 59 | 1 | no | — |
| 417 | C2×D8 | — | 118 | 1 | no | — |
| 418 | C2×D8 | — | 118 | 1 | no | — |
| 419 | C2×D8 | — | 118 | 1 | no | — |
| 420 | C2×D8 | — | 118 | 1 | no | — |
| 421 | C2×D8 | — | 118 | 1 | no | — |
| 422 | C2×D8 | — | 236 | 1 | no | — |
| 423 | C2×D8 | C22×D59 | 1 | 1 | yes | characteristic |
| 424 | C2×D8 | C22×D59 | 1 | 1 | yes | characteristic |
| 425 | #131 | — | 59 | 1 | no | — |
| 426 | #131 | — | 59 | 1 | no | — |
| 427 | #131 | — | 59 | 1 | no | — |
| 428 | #131 | — | 118 | 1 | no | — |
| 429 | #131 | — | 118 | 1 | no | — |
| 430 | #131 | C22×D59 | 1 | 1 | yes | characteristic |
| 431 | C2×M16 | — | 59 | 1 | no | — |
| 432 | C2×M16 | — | 118 | 1 | no | — |
| 433 | C2×M16 | — | 118 | 1 | no | — |
| 434 | C2×M16 | — | 118 | 1 | no | — |
| 435 | C22×C8 | — | 59 | 1 | no | — |
| 436 | C22×C8 | — | 118 | 1 | no | — |
| 437 | SD32 | — | 118 | 1 | no | — |
| 438 | SD32 | — | 118 | 1 | no | — |
| 439 | SD32 | — | 118 | 1 | no | — |
| 440 | SD32 | — | 118 | 1 | no | — |
| 441 | D16 | — | 2 | 1 | no | — |
| 442 | D16 | — | 2 | 1 | no | — |
| 443 | D16 | — | 118 | 1 | no | — |
| 444 | D16 | — | 118 | 1 | no | — |
| 445 | M32 | — | 2 | 1 | no | — |
| 446 | M32 | — | 59 | 1 | no | — |
| 447 | M32 | — | 59 | 1 | no | — |
| 448 | M32 | — | 59 | 1 | no | — |
| 449 | M32 | — | 59 | 1 | no | — |
| 450 | M32 | — | 59 | 1 | no | — |
| 451 | M32 | — | 118 | 1 | no | — |
| 452 | M32 | — | 118 | 1 | no | — |
| 453 | M32 | — | 118 | 1 | no | — |
| 454 | M32 | — | 118 | 1 | no | — |
| 455 | M32 | C22×D59 | 1 | 1 | yes | characteristic |
| 456 | C2×C16 | — | 2 | 1 | no | — |
| 457 | C2×C16 | — | 59 | 1 | no | — |
| 458 | C2×C16 | — | 118 | 1 | no | — |
| 459 | C2×C16 | — | 118 | 1 | no | — |
| 460 | C2×C16 | — | 118 | 1 | no | — |
| 461 | C2×C16 | — | 118 | 1 | no | — |
| 462 | C2×C16 | C22×D59 | 1 | 1 | yes | characteristic |
| 463 | #108 | — | 59 | 1 | no | — |
| 464 | #108 | — | 59 | 1 | no | — |
| 465 | #108 | — | 118 | 1 | no | — |
| 466 | #108 | — | 118 | 1 | no | — |
| 467 | #108 | C22×D59 | 1 | 1 | yes | characteristic |
| 468 | #108 | C22×D59 | 1 | 1 | yes | characteristic |
| 469 | #101 | — | 118 | 1 | no | — |
| 470 | #101 | — | 118 | 1 | no | — |
| 471 | #100 | — | 2 | 1 | no | — |
| 472 | #100 | — | 2 | 1 | no | — |
| 473 | #100 | — | 118 | 1 | no | — |
| 474 | #100 | — | 118 | 1 | no | — |
| 475 | #100 | — | 118 | 1 | no | — |
| 476 | #100 | — | 118 | 1 | no | — |
| 477 | C24 | — | 236 | 1 | no | — |
| 478 | #41 | — | 59 | 1 | no | — |
| 479 | #41 | — | 59 | 1 | no | — |
| 480 | #41 | — | 59 | 1 | no | — |
| 481 | #41 | — | 118 | 1 | no | — |
| 482 | #41 | — | 118 | 1 | no | — |
| 483 | #41 | — | 236 | 1 | no | — |
| 484 | #41 | — | 236 | 1 | no | — |
| 485 | #41 | — | 236 | 1 | no | — |
| 486 | #41 | — | 236 | 1 | no | — |
| 487 | #41 | D4×D59 | 1 | 1 | yes | characteristic |
| 488 | C2×Q8 | — | 59 | 1 | no | — |
| 489 | C2×Q8 | — | 118 | 1 | no | — |
| 490 | C2×D4 | — | 2 | 1 | no | — |
| 491 | C2×D4 | — | 2 | 1 | no | — |
| 492 | C2×D4 | — | 59 | 1 | no | — |
| 493 | C2×D4 | — | 118 | 1 | no | — |
| 494 | C2×D4 | — | 118 | 1 | no | — |
| 495 | C2×D4 | — | 236 | 1 | no | — |
| 496 | C2×D4 | — | 236 | 1 | no | — |
| 497 | C2×D4 | — | 236 | 1 | no | — |
| 498 | C2×D4 | — | 236 | 1 | no | — |
| 499 | C2×D4 | — | 236 | 1 | no | — |
| 500 | C2×D4 | — | 236 | 1 | no | — |
| 501 | C22×C4 | — | 59 | 1 | no | — |
| 502 | C22×C4 | — | 118 | 1 | no | — |
| 503 | C22×C4 | — | 236 | 1 | no | — |
| 504 | Q16 | — | 118 | 1 | no | — |
| 505 | Q16 | — | 118 | 1 | no | — |
| 506 | Q16 | — | 236 | 1 | no | — |
| 507 | Q16 | — | 236 | 1 | no | — |
| 508 | SD16 | — | 4 | 1 | no | — |
| 509 | SD16 | — | 4 | 1 | no | — |
| 510 | SD16 | — | 236 | 1 | no | — |
| 511 | SD16 | — | 236 | 1 | no | — |
| 512 | SD16 | — | 236 | 1 | no | — |
| 513 | SD16 | — | 236 | 1 | no | — |
| 514 | SD16 | — | 236 | 1 | no | — |
| 515 | SD16 | — | 236 | 1 | no | — |
| 516 | SD16 | — | 236 | 1 | no | — |
| 517 | SD16 | — | 236 | 1 | no | — |
| 518 | D8 | — | 2 | 1 | no | — |
| 519 | D8 | — | 2 | 1 | no | — |
| 520 | D8 | — | 2 | 1 | no | — |
| 521 | D8 | — | 2 | 1 | no | — |
| 522 | D8 | — | 4 | 1 | no | — |
| 523 | D8 | — | 4 | 1 | no | — |
| 524 | D8 | — | 118 | 1 | no | — |
| 525 | D8 | — | 118 | 1 | no | — |
| 526 | D8 | — | 236 | 1 | no | — |
| 527 | D8 | — | 236 | 1 | no | — |
| 528 | D8 | — | 236 | 1 | no | — |
| 529 | D8 | — | 236 | 1 | no | — |
| 530 | D8 | — | 236 | 1 | no | — |
| 531 | D8 | — | 236 | 1 | no | — |
| 532 | M16 | — | 2 | 1 | no | — |
| 533 | M16 | — | 2 | 1 | no | — |
| 534 | M16 | — | 2 | 1 | no | — |
| 535 | M16 | — | 59 | 1 | no | — |
| 536 | M16 | — | 118 | 1 | no | — |
| 537 | M16 | — | 118 | 1 | no | — |
| 538 | M16 | — | 118 | 1 | no | — |
| 539 | M16 | — | 118 | 1 | no | — |
| 540 | M16 | — | 118 | 1 | no | — |
| 541 | M16 | — | 118 | 1 | no | — |
| 542 | M16 | — | 236 | 1 | no | — |
| 543 | M16 | — | 236 | 1 | no | — |
| 544 | M16 | D4×D59 | 1 | 1 | yes | characteristic |
| 545 | C2×C8 | — | 2 | 1 | no | — |
| 546 | C2×C8 | — | 59 | 1 | no | — |
| 547 | C2×C8 | — | 59 | 1 | no | — |
| 548 | C2×C8 | — | 59 | 1 | no | — |
| 549 | C2×C8 | — | 59 | 1 | no | — |
| 550 | C2×C8 | — | 59 | 1 | no | — |
| 551 | C2×C8 | — | 118 | 1 | no | — |
| 552 | C2×C8 | — | 118 | 1 | no | — |
| 553 | C2×C8 | — | 118 | 1 | no | — |
| 554 | C2×C8 | — | 118 | 1 | no | — |
| 555 | C2×C8 | — | 236 | 1 | no | — |
| 556 | C2×C8 | — | 236 | 1 | no | — |
| 557 | C2×C8 | C23×D59 | 1 | 1 | yes | characteristic |
| 558 | C16 | — | 2 | 1 | no | — |
| 559 | C16 | — | 59 | 1 | no | — |
| 560 | C16 | — | 59 | 1 | no | — |
| 561 | C16 | — | 118 | 1 | no | — |
| 562 | C16 | D4×D59 | 1 | 1 | yes | characteristic |
| 563 | C16 | D4×D59 | 1 | 1 | yes | characteristic |
| 564 | C23 | — | 4 | 1 | no | — |
| 565 | C23 | — | 4 | 1 | no | — |
| 566 | C23 | — | 59 | 1 | no | — |
| 567 | C23 | — | 118 | 1 | no | — |
| 568 | C23 | — | 944 | 2 | no | — |
| 569 | C23 | — | 472 | 1 | no | — |
| 570 | C23 | — | 472 | 1 | no | — |
| 571 | C23 | — | 236 | 1 | no | — |
| 572 | Q8 | — | 59 | 1 | no | — |
| 573 | Q8 | — | 118 | 1 | no | — |
| 574 | Q8 | — | 236 | 1 | no | — |
| 575 | Q8 | — | 236 | 1 | no | — |
| 576 | Q8 | D8×D59 | 1 | 1 | yes | characteristic |
| 577 | D4 | — | 2 | 1 | no | — |
| 578 | D4 | — | 4 | 1 | no | — |
| 579 | D4 | — | 4 | 1 | no | — |
| 580 | D4 | — | 4 | 1 | no | — |
| 581 | D4 | — | 4 | 1 | no | — |
| 582 | D4 | — | 59 | 1 | no | — |
| 583 | D4 | — | 118 | 1 | no | — |
| 584 | D4 | — | 118 | 1 | no | — |
| 585 | D4 | — | 118 | 1 | no | — |
| 586 | D4 | — | 118 | 1 | no | — |
| 587 | D4 | — | 472 | 1 | no | — |
| 588 | D4 | — | 472 | 1 | no | — |
| 589 | D4 | — | 472 | 1 | no | — |
| 590 | D4 | — | 472 | 1 | no | — |
| 591 | D4 | — | 236 | 1 | no | — |
| 592 | D4 | — | 236 | 1 | no | — |
| 593 | D4 | D8×D59 | 1 | 1 | yes | characteristic |
| 594 | C2×C4 | — | 2 | 1 | no | — |
| 595 | C2×C4 | — | 59 | 1 | no | — |
| 596 | C2×C4 | — | 59 | 1 | no | — |
| 597 | C2×C4 | — | 59 | 1 | no | — |
| 598 | C2×C4 | — | 59 | 1 | no | — |
| 599 | C2×C4 | — | 59 | 1 | no | — |
| 600 | C2×C4 | — | 118 | 1 | no | — |
| 601 | C2×C4 | — | 118 | 1 | no | — |
| 602 | C2×C4 | — | 118 | 1 | no | — |
| 603 | C2×C4 | — | 118 | 1 | no | — |
| 604 | C2×C4 | — | 472 | 1 | no | — |
| 605 | C2×C4 | — | 472 | 1 | no | — |
| 606 | C2×C4 | — | 236 | 1 | no | — |
| 607 | C2×C4 | C2×D4×D59 | 1 | 1 | yes | characteristic |
| 608 | C8 | — | 2 | 1 | no | — |
| 609 | C8 | — | 4 | 1 | no | — |
| 610 | C8 | — | 4 | 1 | no | — |
| 611 | C8 | — | 59 | 1 | no | — |
| 612 | C8 | — | 59 | 1 | no | — |
| 613 | C8 | — | 118 | 1 | no | — |
| 614 | C8 | — | 236 | 1 | no | — |
| 615 | C8 | — | 236 | 1 | no | — |
| 616 | C8 | C2×D4×D59 | 1 | 1 | yes | characteristic |
| 617 | C8 | #41×D59 | 1 | 1 | yes | characteristic |
| 618 | C22 | — | 2 | 1 | no | — |
| 619 | C22 | — | 8 | 1 | no | — |
| 620 | C22 | — | 8 | 1 | no | — |
| 621 | C22 | — | 16 | 1 | no | — |
| 622 | C22 | — | 16 | 1 | no | — |
| 623 | C22 | — | 59 | 1 | no | — |
| 624 | C22 | — | 59 | 1 | no | — |
| 625 | C22 | — | 118 | 1 | no | — |
| 626 | C22 | — | 944 | 1 | no | — |
| 627 | C22 | — | 944 | 2 | no | — |
| 628 | C22 | — | 944 | 2 | no | — |
| 629 | C22 | — | 472 | 1 | no | — |
| 630 | C22 | — | 472 | 1 | no | — |
| 631 | C22 | — | 236 | 1 | no | — |
| 632 | C22 | #135×D59 | 1 | 1 | yes | characteristic |
| 633 | C4 | — | 2 | 1 | no | — |
| 634 | C4 | — | 59 | 1 | no | — |
| 635 | C4 | — | 59 | 1 | no | — |
| 636 | C4 | — | 118 | 1 | no | — |
| 637 | C4 | — | 472 | 1 | no | — |
| 638 | C4 | #121×D59 | 1 | 1 | yes | characteristic |
| 639 | C4 | C2×D8×D59 | 1 | 1 | yes | characteristic |
| 640 | C2 | — | 2 | 1 | no | — |
| 641 | C2 | — | 4 | 1 | no | — |
| 642 | C2 | — | 16 | 1 | no | — |
| 643 | C2 | — | 16 | 1 | no | — |
| 644 | C2 | — | 118 | 1 | no | — |
| 645 | C2 | — | 118 | 1 | no | — |
| 646 | C2 | — | 944 | 1 | no | — |
| 647 | C2 | — | 236 | 1 | no | — |
| 648 | C2 | #466×D59 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta