| 1 | C2×#16837835 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#16837833 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #21434521 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C4×#14273750 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #21426158 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #21426152 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #21426148 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #21426144 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #21426140 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #21426134 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #21426130 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C4⋊C16×D59 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #21425802 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #21425800 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C59×#2211 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#14273750 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#14273750 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#14273748 | — | 2 | 1 | no | — |
| 19 | C2×#14273746 | C22 | 1 | 1 | yes | characteristic |
| 20 | #16837951 | — | 2 | 1 | no | — |
| 21 | C4×#11745689 | — | 2 | 1 | no | — |
| 22 | #16837835 | — | 2 | 4 | no | — |
| 23 | #16837833 | — | 2 | 4 | no | — |
| 24 | C2×#14273673 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#14273672 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#14273670 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#14273670 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×D944 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×#14273668 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×C16×D59 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×C16×D59 | C22 | 1 | 1 | yes | characteristic |
| 32 | #16837786 | C22 | 1 | 1 | yes | characteristic |
| 33 | #16837784 | — | 2 | 1 | no | — |
| 34 | #16837780 | C22 | 1 | 1 | yes | characteristic |
| 35 | #16837777 | C22 | 1 | 1 | yes | characteristic |
| 36 | #16837773 | — | 2 | 1 | no | — |
| 37 | Q16×Dic59 | C22 | 1 | 1 | yes | characteristic |
| 38 | C4×#11745671 | — | 2 | 1 | no | — |
| 39 | #16837487 | — | 2 | 1 | no | — |
| 40 | C4×D472 | C22 | 1 | 1 | yes | characteristic |
| 41 | #16837484 | C22 | 1 | 1 | yes | characteristic |
| 42 | #16837439 | C22 | 1 | 1 | yes | characteristic |
| 43 | #16837397 | — | 2 | 1 | no | — |
| 44 | C4×C8×D59 | C22 | 1 | 1 | yes | characteristic |
| 45 | C4⋊(C59⋊C16) | C22 | 1 | 1 | yes | characteristic |
| 46 | Dic59⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 47 | Dic59⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 48 | #16837207 | C22 | 1 | 1 | yes | characteristic |
| 49 | #16837206 | C22 | 1 | 1 | yes | characteristic |
| 50 | #16837205 | C22 | 1 | 1 | yes | characteristic |
| 51 | #16837204 | C22 | 1 | 1 | yes | characteristic |
| 52 | #16837203 | C22 | 1 | 1 | yes | characteristic |
| 53 | #16837202 | C22 | 1 | 1 | yes | characteristic |
| 54 | C2×Q32×C59 | C22 | 1 | 1 | yes | characteristic |
| 55 | C2×SD32×C59 | C22 | 1 | 1 | yes | characteristic |
| 56 | C59×#495 | C22 | 1 | 1 | yes | characteristic |
| 57 | C4×Q16×C59 | C22 | 1 | 1 | yes | characteristic |
| 58 | C59×C4⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 59 | C59×#358 | C22 | 1 | 1 | yes | characteristic |
| 60 | C59×#357 | C22 | 1 | 1 | yes | characteristic |
| 61 | C2×#11745689 | — | 2 | 1 | no | — |
| 62 | C2×#11745689 | — | 2 | 1 | no | — |
| 63 | C2×#11745687 | — | 2 | 1 | no | — |
| 64 | #14273750 | — | 2 | 2 | no | — |
| 65 | #14273750 | — | 2 | 2 | no | — |
| 66 | #14273750 | — | 2 | 2 | no | — |
| 67 | #14273750 | D4 | 1 | 4 | yes | complemented |
| 68 | #14273748 | — | 4 | 4 | no | — |
| 69 | #14273746 | — | 2 | 2 | no | — |
| 70 | #14273746 | — | 2 | 2 | no | — |
| 71 | C2×Dic236 | C23 | 1 | 1 | yes | characteristic |
| 72 | C2×#11745672 | — | 2 | 1 | no | — |
| 73 | C2×#11745660 | — | 2 | 1 | no | — |
| 74 | C2×#11745670 | — | 2 | 1 | no | — |
| 75 | C2×#11745671 | — | 2 | 1 | no | — |
| 76 | C2×#11745671 | — | 2 | 1 | no | — |
| 77 | C2×D472 | C23 | 1 | 1 | yes | characteristic |
| 78 | C2×D472 | C23 | 1 | 1 | yes | characteristic |
| 79 | C2×#11745669 | — | 2 | 1 | no | — |
| 80 | C2×C8×D59 | D4 | 1 | 1 | yes | characteristic |
| 81 | C2×C8×D59 | C23 | 1 | 1 | yes | characteristic |
| 82 | #14273725 | — | 2 | 1 | no | — |
| 83 | #14273723 | — | 2 | 1 | no | — |
| 84 | #14273715 | — | 2 | 1 | no | — |
| 85 | #14273700 | — | 4 | 1 | no | — |
| 86 | #14273700 | — | 4 | 1 | no | — |
| 87 | Q8×Dic59 | — | 2 | 1 | no | — |
| 88 | C4×D236 | — | 2 | 1 | no | — |
| 89 | C4×D236 | — | 4 | 1 | no | — |
| 90 | #14273689 | — | 2 | 1 | no | — |
| 91 | #14273689 | — | 4 | 1 | no | — |
| 92 | (C22⋊D59)⋊C4 | — | 4 | 1 | no | — |
| 93 | (C22⋊D59)⋊C4 | — | 4 | 1 | no | — |
| 94 | #14273685 | — | 2 | 1 | no | — |
| 95 | #14273685 | — | 4 | 1 | no | — |
| 96 | C42×D59 | — | 4 | 1 | no | — |
| 97 | C42×D59 | D4 | 1 | 1 | yes | characteristic |
| 98 | #14273673 | — | 2 | 2 | no | — |
| 99 | #14273672 | — | 2 | 2 | no | — |
| 100 | #14273670 | — | 2 | 2 | no | — |
| 101 | #14273670 | — | 2 | 2 | no | — |
| 102 | D944 | — | 2 | 2 | no | — |
| 103 | #14273668 | — | 2 | 2 | no | — |
| 104 | C2×C59⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 105 | C2×C59⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 106 | C16×D59 | — | 2 | 2 | no | — |
| 107 | C16×D59 | — | 2 | 2 | no | — |
| 108 | #14273661 | C23 | 1 | 1 | yes | characteristic |
| 109 | #14273658 | — | 2 | 1 | no | — |
| 110 | #14273651 | — | 2 | 1 | no | — |
| 111 | #14273649 | — | 2 | 1 | no | — |
| 112 | #14273647 | — | 2 | 1 | no | — |
| 113 | C4×C59⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 114 | C8×Dic59 | D4 | 1 | 1 | yes | characteristic |
| 115 | C8×Dic59 | C23 | 1 | 1 | yes | characteristic |
| 116 | C2×Q16×C59 | C23 | 1 | 1 | yes | characteristic |
| 117 | C2×Q16×C59 | C23 | 1 | 1 | yes | characteristic |
| 118 | C2×SD16×C59 | — | 2 | 1 | no | — |
| 119 | C2×D8×C59 | C23 | 1 | 1 | yes | characteristic |
| 120 | #124×C59 | — | 2 | 1 | no | — |
| 121 | C4×Q8×C59 | — | 2 | 1 | no | — |
| 122 | Q32×C59 | — | 2 | 2 | no | — |
| 123 | SD32×C59 | — | 2 | 2 | no | — |
| 124 | C2×C16×C59 | C23 | 1 | 1 | yes | characteristic |
| 125 | C2×C16×C59 | C23 | 1 | 1 | yes | characteristic |
| 126 | #107×C59 | C23 | 1 | 1 | yes | characteristic |
| 127 | #103×C59 | — | 2 | 1 | no | — |
| 128 | C4×C8×C59 | C23 | 1 | 1 | yes | characteristic |
| 129 | C2×Q8×C59 | — | 2 | 1 | no | — |
| 130 | C2×Q8×C59 | — | 2 | 1 | no | — |
| 131 | C2×D4×C59 | — | 2 | 1 | no | — |
| 132 | C2×C22⋊D59 | — | 4 | 1 | no | — |
| 133 | C2×C22⋊D59 | — | 4 | 1 | no | — |
| 134 | C2×C22⋊D59 | — | 4 | 1 | no | — |
| 135 | C22×Dic59 | — | 4 | 1 | no | — |
| 136 | #11745689 | — | 2 | 4 | no | — |
| 137 | #11745689 | — | 4 | 2 | no | — |
| 138 | #11745689 | — | 4 | 2 | no | — |
| 139 | #11745689 | — | 4 | 2 | no | — |
| 140 | #11745687 | — | 4 | 2 | no | — |
| 141 | #11745687 | — | 4 | 2 | no | — |
| 142 | C2×D236 | — | 2 | 1 | no | — |
| 143 | C2×D236 | — | 2 | 1 | no | — |
| 144 | C2×D236 | — | 4 | 1 | no | — |
| 145 | C2×D236 | — | 4 | 1 | no | — |
| 146 | C2×C4×D59 | — | 4 | 1 | no | — |
| 147 | C2×C4×D59 | — | 4 | 1 | no | — |
| 148 | C2×C4×D59 | — | 4 | 1 | no | — |
| 149 | C2×C4×D59 | — | 4 | 1 | no | — |
| 150 | C2×C4×D59 | D8 | 1 | 1 | yes | characteristic |
| 151 | C2×C4×D59 | D8 | 1 | 1 | yes | characteristic |
| 152 | C2×C4×D59 | C2×D4 | 1 | 1 | yes | characteristic |
| 153 | C2×Dic118 | — | 2 | 1 | no | — |
| 154 | Q16×C59 | — | 2 | 1 | no | — |
| 155 | Q16×C59 | — | 2 | 1 | no | — |
| 156 | Q16×C59 | — | 2 | 1 | no | — |
| 157 | Q16×C59 | C2×D4 | 1 | 2 | yes | — |
| 158 | SD16×C59 | — | 4 | 2 | no | — |
| 159 | D8×C59 | — | 2 | 1 | no | — |
| 160 | D8×C59 | — | 2 | 1 | no | — |
| 161 | C2×C8×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 162 | C2×C8×C59 | C24 | 1 | 1 | yes | characteristic |
| 163 | C4⋊C4×C59 | — | 2 | 1 | no | — |
| 164 | C4⋊C4×C59 | — | 4 | 1 | no | — |
| 165 | C22⋊C4×C59 | — | 4 | 1 | no | — |
| 166 | C22⋊C4×C59 | — | 4 | 1 | no | — |
| 167 | C42×C59 | — | 4 | 1 | no | — |
| 168 | C42×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 169 | #11745672 | — | 4 | 2 | no | — |
| 170 | #11745671 | — | 2 | 4 | no | — |
| 171 | #11745671 | — | 4 | 2 | no | — |
| 172 | #11745670 | — | 4 | 2 | no | — |
| 173 | #11745669 | — | 4 | 2 | no | — |
| 174 | (C2×D59)⋊C4 | — | 4 | 1 | no | — |
| 175 | (C2×D59)⋊C4 | — | 4 | 1 | no | — |
| 176 | (C2×D59)⋊C4 | — | 4 | 1 | no | — |
| 177 | (C2×D59)⋊C4 | — | 4 | 1 | no | — |
| 178 | (C2×D59)⋊C4 | — | 4 | 1 | no | — |
| 179 | C4⋊Dic59 | — | 2 | 1 | no | — |
| 180 | C4⋊Dic59 | — | 4 | 1 | no | — |
| 181 | Dic59⋊C4 | — | 4 | 1 | no | — |
| 182 | Dic59⋊C4 | — | 4 | 1 | no | — |
| 183 | C4×Dic59 | — | 4 | 1 | no | — |
| 184 | C4×Dic59 | — | 4 | 1 | no | — |
| 185 | C4×Dic59 | D8 | 1 | 1 | yes | characteristic |
| 186 | C4×Dic59 | D8 | 1 | 1 | yes | characteristic |
| 187 | C4×Dic59 | C2×D4 | 1 | 1 | yes | characteristic |
| 188 | C2×C59⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 189 | C2×C59⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | Dic236 | — | 2 | 1 | no | — |
| 191 | Dic236 | — | 2 | 1 | no | — |
| 192 | D472 | — | 2 | 1 | no | — |
| 193 | D472 | — | 2 | 1 | no | — |
| 194 | D472 | — | 2 | 1 | no | — |
| 195 | D472 | C2×D4 | 1 | 2 | yes | — |
| 196 | #11745660 | — | 4 | 2 | no | — |
| 197 | C8×D59 | — | 2 | 2 | no | — |
| 198 | C8×D59 | C2×D4 | 1 | 2 | yes | — |
| 199 | C8×D59 | #41 | 1 | 2 | yes | — |
| 200 | C16×C59 | — | 2 | 1 | no | — |
| 201 | C16×C59 | — | 2 | 1 | no | — |
| 202 | C59⋊C16 | — | 2 | 1 | no | — |
| 203 | C59⋊C16 | — | 2 | 1 | no | — |
| 204 | C23×C59 | — | 4 | 1 | no | — |
| 205 | C22×D59 | — | 4 | 1 | no | — |
| 206 | C22×D59 | — | 4 | 1 | no | — |
| 207 | C22×D59 | C2×D8 | 1 | 1 | yes | characteristic |
| 208 | Q8×C59 | — | 2 | 2 | no | — |
| 209 | Q8×C59 | — | 4 | 1 | no | — |
| 210 | Q8×C59 | — | 4 | 1 | no | — |
| 211 | Q8×C59 | — | 4 | 1 | no | — |
| 212 | D4×C59 | — | 4 | 1 | no | — |
| 213 | D4×C59 | — | 4 | 1 | no | — |
| 214 | C2×C4×C59 | — | 4 | 1 | no | — |
| 215 | C2×C4×C59 | — | 4 | 1 | no | — |
| 216 | C2×C4×C59 | — | 4 | 1 | no | — |
| 217 | C2×C4×C59 | C2×D8 | 1 | 1 | yes | characteristic |
| 218 | C2×C4×C59 | C2×D8 | 1 | 1 | yes | characteristic |
| 219 | C2×C4×C59 | C22×D4 | 1 | 1 | yes | characteristic |
| 220 | C22⋊D59 | — | 8 | 2 | no | — |
| 221 | C22⋊D59 | — | 8 | 2 | no | — |
| 222 | C22⋊D59 | — | 8 | 2 | no | — |
| 223 | C2×Dic59 | — | 4 | 1 | no | — |
| 224 | C2×Dic59 | — | 4 | 1 | no | — |
| 225 | C2×Dic59 | — | 8 | 2 | no | — |
| 226 | C2×Dic59 | C2×D8 | 1 | 1 | yes | characteristic |
| 227 | C2×Dic59 | C2×D8 | 1 | 1 | yes | characteristic |
| 228 | C2×Dic59 | C2×D8 | 1 | 1 | yes | characteristic |
| 229 | D236 | — | 2 | 2 | no | — |
| 230 | D236 | — | 4 | 4 | no | — |
| 231 | D236 | — | 4 | 1 | no | — |
| 232 | D236 | — | 4 | 1 | no | — |
| 233 | D236 | — | 4 | 1 | no | — |
| 234 | D236 | — | 8 | 2 | no | — |
| 235 | C4×D59 | — | 2 | 2 | no | — |
| 236 | C4×D59 | — | 4 | 1 | no | — |
| 237 | C4×D59 | — | 4 | 4 | no | — |
| 238 | C4×D59 | — | 8 | 2 | no | — |
| 239 | C4×D59 | — | 8 | 2 | no | — |
| 240 | C4×D59 | — | 8 | 2 | no | — |
| 241 | C4×D59 | #121 | 1 | 2 | yes | — |
| 242 | C4×D59 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 243 | Dic118 | — | 4 | 1 | no | — |
| 244 | Dic118 | — | 4 | 1 | no | — |
| 245 | C8×C59 | — | 2 | 1 | no | — |
| 246 | C8×C59 | C22×D4 | 1 | 1 | yes | characteristic |
| 247 | C8×C59 | C2×#41 | 1 | 1 | yes | characteristic |
| 248 | C59⋊C8 | — | 2 | 1 | no | — |
| 249 | C59⋊C8 | #121 | 1 | 2 | yes | — |
| 250 | #33579 | — | 59 | 1 | no | maximal, Sylow |
| 251 | C22×C59 | — | 8 | 1 | no | — |
| 252 | C22×C59 | — | 8 | 1 | no | — |
| 253 | C22×C59 | — | 8 | 1 | no | — |
| 254 | C22×C59 | C22×D8 | 1 | 1 | yes | characteristic |
| 255 | C2×D59 | — | 2 | 1 | no | — |
| 256 | C2×D59 | — | 2 | 1 | no | — |
| 257 | C2×D59 | — | 4 | 2 | no | — |
| 258 | C2×D59 | — | 8 | 1 | no | — |
| 259 | C2×D59 | — | 8 | 1 | no | — |
| 260 | C2×D59 | — | 8 | 1 | no | — |
| 261 | C2×D59 | — | 8 | 1 | no | — |
| 262 | C2×D59 | — | 8 | 1 | no | — |
| 263 | C2×D59 | #459 | 1 | 2 | yes | — |
| 264 | C4×C59 | — | 2 | 1 | no | — |
| 265 | C4×C59 | — | 2 | 1 | no | — |
| 266 | C4×C59 | — | 4 | 2 | no | — |
| 267 | C4×C59 | — | 8 | 1 | no | — |
| 268 | C4×C59 | — | 8 | 1 | no | — |
| 269 | C4×C59 | C2×#121 | 1 | 1 | yes | characteristic |
| 270 | C4×C59 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 271 | Dic59 | — | 2 | 1 | no | — |
| 272 | Dic59 | — | 8 | 1 | no | — |
| 273 | Dic59 | — | 8 | 1 | no | — |
| 274 | Dic59 | #459 | 1 | 2 | yes | — |
| 275 | Dic59 | #508 | 1 | 2 | yes | complemented |
| 276 | C2×#508 | — | 59 | 1 | no | — |
| 277 | C2×#508 | — | 59 | 1 | no | — |
| 278 | #3147 | — | 59 | 1 | no | — |
| 279 | C4×#135 | — | 59 | 1 | no | — |
| 280 | #2211 | — | 59 | 1 | no | — |
| 281 | #2211 | D59 | 1 | 1 | yes | characteristic, complemented |
| 282 | #2210 | — | 59 | 1 | no | — |
| 283 | #2210 | — | 59 | 1 | no | — |
| 284 | #2209 | — | 59 | 1 | no | — |
| 285 | #2208 | — | 59 | 1 | no | — |
| 286 | #2207 | — | 59 | 1 | no | — |
| 287 | #2206 | — | 59 | 1 | no | — |
| 288 | C2×C4⋊C16 | — | 59 | 1 | no | — |
| 289 | #2138 | — | 59 | 1 | no | — |
| 290 | #2138 | — | 59 | 1 | no | — |
| 291 | C2×C59 | — | 16 | 1 | no | — |
| 292 | C2×C59 | C2×#459 | 1 | 1 | yes | characteristic |
| 293 | C2×C59 | C2×#508 | 1 | 1 | yes | characteristic |
| 294 | C2×C59 | #3414 | 1 | 1 | yes | characteristic |
| 295 | D59 | — | 2 | 2 | no | — |
| 296 | D59 | — | 8 | 2 | no | — |
| 297 | D59 | — | 16 | 1 | no | — |
| 298 | C2×#135 | — | 59 | 1 | no | — |
| 299 | C2×#135 | — | 59 | 1 | no | — |
| 300 | C2×#135 | — | 59 | 1 | no | — |
| 301 | C2×#135 | — | 118 | 1 | no | — |
| 302 | #532 | — | 118 | 1 | no | — |
| 303 | C4×#41 | — | 118 | 1 | no | — |
| 304 | #508 | — | 118 | 4 | no | — |
| 305 | #508 | — | 118 | 4 | no | — |
| 306 | C2×Q32 | — | 59 | 1 | no | — |
| 307 | C2×Q32 | C2×D59 | 1 | 1 | yes | characteristic |
| 308 | C2×SD32 | — | 59 | 1 | no | — |
| 309 | C2×SD32 | — | 59 | 1 | no | — |
| 310 | C2×SD32 | — | 59 | 1 | no | — |
| 311 | C2×SD32 | C2×D59 | 1 | 1 | yes | characteristic |
| 312 | C2×D16 | — | 59 | 1 | no | — |
| 313 | C2×D16 | — | 59 | 1 | no | — |
| 314 | C22×C16 | — | 59 | 1 | no | — |
| 315 | C22×C16 | — | 59 | 1 | no | — |
| 316 | #495 | — | 59 | 1 | no | — |
| 317 | #495 | — | 118 | 1 | no | — |
| 318 | #495 | C2×D59 | 1 | 1 | yes | characteristic |
| 319 | #494 | — | 59 | 1 | no | — |
| 320 | #493 | — | 59 | 1 | no | — |
| 321 | #492 | — | 118 | 1 | no | — |
| 322 | C4×Q16 | — | 59 | 1 | no | — |
| 323 | C4×Q16 | C2×D59 | 1 | 1 | yes | characteristic |
| 324 | C4×SD16 | — | 118 | 1 | no | — |
| 325 | C4×SD16 | — | 118 | 1 | no | — |
| 326 | C4×D8 | — | 59 | 1 | no | — |
| 327 | C4×D8 | — | 59 | 1 | no | — |
| 328 | #427 | — | 59 | 1 | no | — |
| 329 | #416 | — | 118 | 1 | no | — |
| 330 | C2×C4×C8 | — | 59 | 1 | no | — |
| 331 | C4⋊C16 | — | 59 | 1 | no | — |
| 332 | C4⋊C16 | — | 59 | 1 | no | — |
| 333 | C4⋊C16 | — | 59 | 1 | no | — |
| 334 | C4⋊C16 | C2×D59 | 1 | 1 | yes | characteristic |
| 335 | #358 | — | 59 | 1 | no | — |
| 336 | #358 | — | 59 | 1 | no | — |
| 337 | #358 | — | 59 | 1 | no | — |
| 338 | #358 | C2×D59 | 1 | 1 | yes | characteristic |
| 339 | #357 | — | 59 | 1 | no | — |
| 340 | #357 | — | 59 | 1 | no | — |
| 341 | #357 | — | 59 | 1 | no | — |
| 342 | #357 | C2×D59 | 1 | 1 | yes | characteristic |
| 343 | C59 | #33579 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 344 | C2×#41 | — | 118 | 1 | no | — |
| 345 | C2×#41 | — | 118 | 1 | no | — |
| 346 | C2×#41 | — | 118 | 1 | no | — |
| 347 | #135 | — | 59 | 4 | no | — |
| 348 | #135 | — | 118 | 2 | no | — |
| 349 | #135 | — | 118 | 2 | no | — |
| 350 | #135 | — | 118 | 2 | no | — |
| 351 | #135 | — | 118 | 2 | no | — |
| 352 | #135 | — | 118 | 2 | no | — |
| 353 | #135 | — | 236 | 4 | no | — |
| 354 | C2×Q16 | — | 59 | 1 | no | — |
| 355 | C2×Q16 | — | 118 | 1 | no | — |
| 356 | C2×Q16 | C22×D59 | 1 | 1 | yes | characteristic |
| 357 | C2×Q16 | C22×D59 | 1 | 1 | yes | characteristic |
| 358 | C2×SD16 | — | 2 | 1 | no | — |
| 359 | C2×SD16 | — | 118 | 1 | no | — |
| 360 | C2×SD16 | — | 118 | 1 | no | — |
| 361 | C2×SD16 | — | 118 | 1 | no | — |
| 362 | C2×SD16 | — | 118 | 1 | no | — |
| 363 | C2×D8 | — | 59 | 1 | no | — |
| 364 | C2×D8 | — | 59 | 1 | no | — |
| 365 | C2×D8 | — | 118 | 1 | no | — |
| 366 | C2×D8 | C22×D59 | 1 | 1 | yes | characteristic |
| 367 | C22×C8 | — | 59 | 1 | no | — |
| 368 | C22×C8 | — | 59 | 1 | no | — |
| 369 | C4⋊Q8 | — | 118 | 1 | no | — |
| 370 | #127 | — | 118 | 1 | no | — |
| 371 | #124 | — | 2 | 1 | no | — |
| 372 | #124 | — | 118 | 1 | no | — |
| 373 | #121 | — | 236 | 1 | no | — |
| 374 | #121 | — | 236 | 1 | no | — |
| 375 | C4×Q8 | — | 2 | 1 | no | — |
| 376 | C4×Q8 | — | 118 | 1 | no | — |
| 377 | C4×D4 | — | 118 | 1 | no | — |
| 378 | C4×D4 | — | 118 | 1 | no | — |
| 379 | C4×D4 | — | 236 | 1 | no | — |
| 380 | C4×D4 | — | 236 | 1 | no | — |
| 381 | C4×D4 | — | 236 | 1 | no | — |
| 382 | C4×D4 | — | 236 | 1 | no | — |
| 383 | #117 | — | 118 | 1 | no | — |
| 384 | #117 | — | 236 | 1 | no | — |
| 385 | C2×C42 | — | 59 | 1 | no | — |
| 386 | C2×C42 | — | 236 | 1 | no | — |
| 387 | Q32 | — | 2 | 2 | no | — |
| 388 | Q32 | — | 118 | 2 | no | — |
| 389 | SD32 | — | 2 | 2 | no | — |
| 390 | SD32 | — | 118 | 2 | no | — |
| 391 | SD32 | — | 118 | 2 | no | — |
| 392 | SD32 | — | 118 | 2 | no | — |
| 393 | D16 | — | 118 | 2 | no | — |
| 394 | D16 | — | 118 | 2 | no | — |
| 395 | C2×C16 | — | 59 | 1 | no | — |
| 396 | C2×C16 | — | 59 | 1 | no | — |
| 397 | C2×C16 | — | 118 | 2 | no | — |
| 398 | C2×C16 | — | 118 | 2 | no | — |
| 399 | C2×C16 | C22×D59 | 1 | 1 | yes | characteristic |
| 400 | C2×C16 | C22×D59 | 1 | 1 | yes | characteristic |
| 401 | #107 | — | 59 | 1 | no | — |
| 402 | #107 | C22×D59 | 1 | 1 | yes | characteristic |
| 403 | #106 | — | 118 | 1 | no | — |
| 404 | #103 | — | 2 | 1 | no | — |
| 405 | #103 | — | 118 | 1 | no | — |
| 406 | #102 | — | 118 | 1 | no | — |
| 407 | #102 | — | 118 | 1 | no | — |
| 408 | C4×C8 | — | 59 | 1 | no | — |
| 409 | C4×C8 | — | 59 | 1 | no | — |
| 410 | C4×C8 | — | 59 | 1 | no | — |
| 411 | C4×C8 | C22×D59 | 1 | 1 | yes | characteristic |
| 412 | #41 | — | 118 | 4 | no | — |
| 413 | #41 | — | 236 | 2 | no | — |
| 414 | #41 | — | 236 | 2 | no | — |
| 415 | #41 | — | 236 | 2 | no | — |
| 416 | #41 | — | 236 | 2 | no | — |
| 417 | #41 | — | 236 | 2 | no | — |
| 418 | C2×Q8 | — | 2 | 1 | no | — |
| 419 | C2×Q8 | — | 2 | 1 | no | — |
| 420 | C2×Q8 | — | 118 | 1 | no | — |
| 421 | C2×D4 | — | 2 | 1 | no | — |
| 422 | C2×D4 | — | 118 | 1 | no | — |
| 423 | C2×D4 | — | 118 | 1 | no | — |
| 424 | C2×D4 | — | 236 | 1 | no | — |
| 425 | C2×D4 | — | 236 | 1 | no | — |
| 426 | C2×D4 | — | 236 | 1 | no | — |
| 427 | C2×D4 | — | 236 | 1 | no | — |
| 428 | C2×D4 | — | 236 | 1 | no | — |
| 429 | C22×C4 | — | 59 | 1 | no | — |
| 430 | C22×C4 | — | 59 | 1 | no | — |
| 431 | C22×C4 | — | 59 | 1 | no | — |
| 432 | C22×C4 | — | 236 | 1 | no | — |
| 433 | C22×C4 | — | 236 | 1 | no | — |
| 434 | C22×C4 | — | 236 | 1 | no | — |
| 435 | C22×C4 | — | 236 | 1 | no | — |
| 436 | C22×C4 | — | 236 | 1 | no | — |
| 437 | Q16 | — | 2 | 1 | no | — |
| 438 | Q16 | — | 2 | 1 | no | — |
| 439 | Q16 | — | 2 | 1 | no | — |
| 440 | Q16 | — | 118 | 1 | no | — |
| 441 | Q16 | — | 118 | 1 | no | — |
| 442 | Q16 | — | 236 | 2 | no | — |
| 443 | Q16 | D4×D59 | 1 | 2 | yes | — |
| 444 | SD16 | — | 4 | 2 | no | — |
| 445 | SD16 | — | 118 | 4 | no | — |
| 446 | SD16 | — | 236 | 2 | no | — |
| 447 | SD16 | — | 236 | 2 | no | — |
| 448 | SD16 | — | 236 | 2 | no | — |
| 449 | D8 | — | 2 | 1 | no | — |
| 450 | D8 | — | 2 | 1 | no | — |
| 451 | D8 | — | 59 | 2 | no | — |
| 452 | D8 | — | 118 | 1 | no | — |
| 453 | D8 | — | 118 | 1 | no | — |
| 454 | D8 | — | 118 | 1 | no | — |
| 455 | D8 | — | 236 | 2 | no | — |
| 456 | C2×C8 | — | 59 | 1 | no | — |
| 457 | C2×C8 | — | 59 | 2 | no | — |
| 458 | C2×C8 | — | 59 | 2 | no | — |
| 459 | C2×C8 | — | 59 | 1 | no | — |
| 460 | C2×C8 | — | 118 | 2 | no | — |
| 461 | C2×C8 | D4×D59 | 1 | 1 | yes | characteristic |
| 462 | C2×C8 | C23×D59 | 1 | 1 | yes | characteristic |
| 463 | C4⋊C4 | — | 2 | 1 | no | — |
| 464 | C4⋊C4 | — | 4 | 1 | no | — |
| 465 | C4⋊C4 | — | 118 | 1 | no | — |
| 466 | C4⋊C4 | — | 236 | 1 | no | — |
| 467 | C4⋊C4 | — | 236 | 1 | no | — |
| 468 | C4⋊C4 | — | 236 | 1 | no | — |
| 469 | C22⋊C4 | — | 4 | 1 | no | — |
| 470 | C22⋊C4 | — | 4 | 1 | no | — |
| 471 | C22⋊C4 | — | 236 | 1 | no | — |
| 472 | C22⋊C4 | — | 236 | 1 | no | — |
| 473 | C22⋊C4 | — | 236 | 1 | no | — |
| 474 | C22⋊C4 | — | 236 | 1 | no | — |
| 475 | C22⋊C4 | — | 236 | 1 | no | — |
| 476 | C42 | — | 4 | 1 | no | — |
| 477 | C42 | — | 59 | 1 | no | — |
| 478 | C42 | — | 59 | 1 | no | — |
| 479 | C42 | — | 59 | 1 | no | — |
| 480 | C42 | — | 236 | 1 | no | — |
| 481 | C42 | — | 236 | 1 | no | — |
| 482 | C42 | D4×D59 | 1 | 1 | yes | characteristic |
| 483 | C16 | — | 2 | 1 | no | — |
| 484 | C16 | — | 2 | 1 | no | — |
| 485 | C16 | — | 118 | 1 | no | — |
| 486 | C16 | — | 118 | 1 | no | — |
| 487 | C23 | — | 4 | 1 | no | — |
| 488 | C23 | — | 59 | 1 | no | — |
| 489 | C23 | — | 236 | 1 | no | — |
| 490 | C23 | — | 236 | 1 | no | — |
| 491 | Q8 | — | 2 | 2 | no | — |
| 492 | Q8 | — | 4 | 1 | no | — |
| 493 | Q8 | — | 4 | 1 | no | — |
| 494 | Q8 | — | 4 | 1 | no | — |
| 495 | Q8 | — | 236 | 1 | no | — |
| 496 | Q8 | — | 236 | 1 | no | — |
| 497 | D4 | — | 4 | 1 | no | — |
| 498 | D4 | — | 4 | 1 | no | — |
| 499 | D4 | — | 118 | 2 | no | — |
| 500 | D4 | — | 472 | 2 | no | — |
| 501 | D4 | — | 472 | 2 | no | — |
| 502 | D4 | — | 472 | 2 | no | — |
| 503 | D4 | — | 472 | 2 | no | — |
| 504 | D4 | — | 236 | 4 | no | — |
| 505 | D4 | — | 236 | 1 | no | — |
| 506 | D4 | — | 236 | 1 | no | — |
| 507 | D4 | — | 236 | 1 | no | — |
| 508 | C2×C4 | — | 4 | 1 | no | — |
| 509 | C2×C4 | — | 4 | 1 | no | — |
| 510 | C2×C4 | — | 4 | 1 | no | — |
| 511 | C2×C4 | — | 59 | 1 | no | — |
| 512 | C2×C4 | — | 59 | 1 | no | — |
| 513 | C2×C4 | — | 59 | 2 | no | — |
| 514 | C2×C4 | — | 59 | 2 | no | — |
| 515 | C2×C4 | — | 59 | 1 | no | — |
| 516 | C2×C4 | — | 118 | 2 | no | — |
| 517 | C2×C4 | — | 472 | 2 | no | — |
| 518 | C2×C4 | — | 472 | 2 | no | — |
| 519 | C2×C4 | — | 472 | 2 | no | — |
| 520 | C2×C4 | — | 472 | 2 | no | — |
| 521 | C2×C4 | — | 236 | 1 | no | — |
| 522 | C2×C4 | — | 236 | 4 | no | — |
| 523 | C2×C4 | — | 236 | 1 | no | — |
| 524 | C2×C4 | — | 236 | 1 | no | — |
| 525 | C2×C4 | D8×D59 | 1 | 1 | yes | characteristic |
| 526 | C2×C4 | D8×D59 | 1 | 1 | yes | characteristic |
| 527 | C2×C4 | C2×D4×D59 | 1 | 1 | yes | characteristic |
| 528 | C8 | — | 2 | 1 | no | — |
| 529 | C8 | — | 59 | 2 | no | — |
| 530 | C8 | — | 118 | 1 | no | — |
| 531 | C8 | C2×D4×D59 | 1 | 1 | yes | characteristic |
| 532 | C8 | #41×D59 | 1 | 1 | yes | characteristic |
| 533 | C22 | — | 8 | 1 | no | — |
| 534 | C22 | — | 8 | 1 | no | — |
| 535 | C22 | — | 8 | 1 | no | — |
| 536 | C22 | — | 59 | 2 | no | — |
| 537 | C22 | — | 118 | 1 | no | — |
| 538 | C22 | — | 118 | 1 | no | — |
| 539 | C22 | — | 472 | 1 | no | — |
| 540 | C22 | — | 472 | 1 | no | — |
| 541 | C22 | — | 472 | 1 | no | — |
| 542 | C22 | — | 472 | 1 | no | — |
| 543 | C22 | — | 472 | 1 | no | — |
| 544 | C22 | — | 236 | 2 | no | — |
| 545 | C22 | C2×D8×D59 | 1 | 1 | yes | characteristic |
| 546 | C4 | — | 2 | 1 | no | — |
| 547 | C4 | — | 2 | 1 | no | — |
| 548 | C4 | — | 4 | 2 | no | — |
| 549 | C4 | — | 8 | 1 | no | — |
| 550 | C4 | — | 8 | 1 | no | — |
| 551 | C4 | — | 59 | 2 | no | — |
| 552 | C4 | — | 59 | 2 | no | — |
| 553 | C4 | — | 118 | 1 | no | — |
| 554 | C4 | — | 472 | 1 | no | — |
| 555 | C4 | — | 472 | 1 | no | — |
| 556 | C4 | #121×D59 | 1 | 1 | yes | characteristic |
| 557 | C4 | AGL(1,ℤ/8)×D59 | 1 | 1 | yes | characteristic |
| 558 | C2 | — | 16 | 1 | no | — |
| 559 | C2 | — | 118 | 2 | no | — |
| 560 | C2 | — | 944 | 1 | no | — |
| 561 | C2 | — | 472 | 2 | no | — |
| 562 | C2 | #459×D59 | 1 | 1 | yes | characteristic |
| 563 | C2 | #508×D59 | 1 | 1 | yes | characteristic |
| 564 | C2 | #21437231 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta