| 1 | #21438866 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #576×D59 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #21437241 | C2 | 1 | 3 | yes | maximal, complemented |
| 4 | #21437240 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #21437238 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #21437237 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #21437236 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | #21437235 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #21437234 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | #21437231 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | #21437229 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | C2×#16837839 | C2 | 1 | 3 | yes | maximal, complemented |
| 13 | #509×D59 | C2 | 1 | 3 | yes | maximal, complemented |
| 14 | #21437197 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C59×#3416 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #16838239 | — | 2 | 1 | no | — |
| 17 | H(5,𝔽2)×D59 | — | 2 | 1 | no | — |
| 18 | #16838215 | C22 | 1 | 3 | yes | complemented |
| 19 | #16838211 | — | 2 | 3 | no | — |
| 20 | #16838210 | — | 2 | 1 | no | — |
| 21 | #16838207 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #16838207 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #16838206 | — | 2 | 3 | no | — |
| 24 | #16838205 | — | 2 | 1 | no | — |
| 25 | #16838204 | C22 | 1 | 3 | yes | complemented |
| 26 | #16838204 | C22 | 1 | 3 | yes | complemented |
| 27 | #16838203 | C22 | 1 | 3 | yes | complemented |
| 28 | #16838201 | — | 2 | 3 | no | — |
| 29 | AGL(1,ℤ/8)×D59 | — | 2 | 3 | no | — |
| 30 | C2×#14273750 | C22 | 1 | 3 | yes | complemented |
| 31 | #135×D59 | C22 | 1 | 3 | yes | complemented |
| 32 | #135×D59 | C22 | 1 | 3 | yes | complemented |
| 33 | C2×D8×D59 | C22 | 1 | 3 | yes | complemented |
| 34 | #131×D59 | C22 | 1 | 1 | yes | characteristic |
| 35 | #16837844 | C22 | 1 | 3 | yes | complemented |
| 36 | #16837844 | C22 | 1 | 3 | yes | complemented |
| 37 | #16837843 | C22 | 1 | 3 | yes | complemented |
| 38 | #16837841 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #16837841 | C22 | 1 | 3 | yes | complemented |
| 40 | #16837840 | C22 | 1 | 3 | yes | complemented |
| 41 | #16837840 | C22 | 1 | 3 | yes | complemented |
| 42 | #16837839 | C22 | 1 | 6 | yes | complemented |
| 43 | #16837839 | C22 | 1 | 3 | yes | complemented |
| 44 | #16837839 | C22 | 1 | 6 | yes | complemented |
| 45 | #16837839 | C22 | 1 | 6 | yes | complemented |
| 46 | #16837839 | C22 | 1 | 3 | yes | complemented |
| 47 | #16837838 | C22 | 1 | 3 | yes | complemented |
| 48 | #16837837 | C22 | 1 | 3 | yes | complemented |
| 49 | #16837837 | C22 | 1 | 3 | yes | complemented |
| 50 | #16837836 | C22 | 1 | 3 | yes | complemented |
| 51 | #16837836 | C22 | 1 | 3 | yes | complemented |
| 52 | #16837835 | C22 | 1 | 6 | yes | complemented |
| 53 | #16837834 | C22 | 1 | 3 | yes | complemented |
| 54 | #16837833 | C22 | 1 | 6 | yes | complemented |
| 55 | #16837832 | C22 | 1 | 3 | yes | complemented |
| 56 | #16837832 | C22 | 1 | 3 | yes | complemented |
| 57 | C2×#14273670 | C22 | 1 | 3 | yes | complemented |
| 58 | SD32×D59 | C22 | 1 | 6 | yes | complemented |
| 59 | C2×D944 | C22 | 1 | 3 | yes | complemented |
| 60 | C2×#14273668 | C22 | 1 | 3 | yes | complemented |
| 61 | D16×D59 | C22 | 1 | 6 | yes | complemented |
| 62 | #16837820 | C22 | 1 | 3 | yes | complemented |
| 63 | #16837819 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #16837818 | C22 | 1 | 3 | yes | complemented |
| 65 | C2×#14273666 | C22 | 1 | 3 | yes | complemented |
| 66 | M32×D59 | C22 | 1 | 3 | yes | complemented |
| 67 | C59×#578 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | C59×#576 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | C59×#510 | C22 | 1 | 3 | yes | complemented |
| 70 | C59×#509 | C22 | 1 | 3 | yes | complemented |
| 71 | C59×#508 | C22 | 1 | 3 | yes | complemented |
| 72 | C2×SD32×C59 | C22 | 1 | 3 | yes | complemented |
| 73 | C59×#504 | C22 | 1 | 1 | yes | characteristic, complemented |
| 74 | #14273775 | — | 2 | 3 | no | — |
| 75 | #14273775 | — | 4 | 1 | no | — |
| 76 | #14273773 | — | 2 | 1 | no | — |
| 77 | #14273773 | — | 2 | 1 | no | — |
| 78 | #14273773 | — | 2 | 3 | no | — |
| 79 | #14273773 | — | 2 | 3 | no | — |
| 80 | #14273773 | — | 4 | 1 | no | — |
| 81 | #14273773 | — | 4 | 3 | no | — |
| 82 | #14273772 | — | 2 | 3 | no | — |
| 83 | #14273772 | — | 4 | 3 | no | — |
| 84 | C2×#11745689 | — | 2 | 3 | no | — |
| 85 | C2×#11745689 | — | 4 | 1 | no | — |
| 86 | #41×D59 | — | 2 | 3 | no | — |
| 87 | #41×D59 | — | 2 | 3 | no | — |
| 88 | #41×D59 | — | 4 | 1 | no | — |
| 89 | #41×D59 | — | 4 | 3 | no | — |
| 90 | #41×D59 | D4 | 1 | 1 | yes | characteristic |
| 91 | C2×D4×D59 | — | 2 | 3 | no | — |
| 92 | C2×D4×D59 | — | 4 | 3 | no | — |
| 93 | #14273759 | — | 2 | 6 | no | — |
| 94 | #14273758 | — | 2 | 3 | no | — |
| 95 | #14273755 | — | 2 | 3 | no | — |
| 96 | #14273755 | — | 2 | 3 | no | — |
| 97 | #14273754 | — | 2 | 6 | no | — |
| 98 | #14273754 | — | 2 | 6 | no | — |
| 99 | #14273753 | — | 2 | 3 | no | — |
| 100 | #14273752 | — | 2 | 3 | no | — |
| 101 | #14273752 | — | 2 | 3 | no | — |
| 102 | #14273751 | — | 2 | 6 | no | — |
| 103 | #14273750 | — | 2 | 3 | no | — |
| 104 | #14273750 | — | 2 | 3 | no | — |
| 105 | #14273750 | C23 | 1 | 3 | yes | — |
| 106 | #14273750 | C23 | 1 | 3 | yes | — |
| 107 | #14273750 | C23 | 1 | 6 | yes | complemented |
| 108 | #14273749 | C23 | 1 | 3 | yes | — |
| 109 | #14273749 | C23 | 1 | 3 | yes | complemented |
| 110 | #14273748 | — | 2 | 3 | no | — |
| 111 | #14273748 | — | 2 | 3 | no | — |
| 112 | #14273747 | — | 2 | 3 | no | — |
| 113 | #14273747 | — | 2 | 3 | no | — |
| 114 | #14273746 | C23 | 1 | 1 | yes | characteristic |
| 115 | #14273746 | C23 | 1 | 3 | yes | — |
| 116 | Q16×D59 | C23 | 1 | 1 | yes | characteristic |
| 117 | Q16×D59 | C23 | 1 | 3 | yes | complemented |
| 118 | C2×#11745671 | — | 2 | 3 | no | — |
| 119 | SD16×D59 | — | 2 | 3 | no | — |
| 120 | SD16×D59 | — | 2 | 3 | no | — |
| 121 | C2×D472 | C23 | 1 | 3 | yes | — |
| 122 | C2×D472 | C23 | 1 | 3 | yes | complemented |
| 123 | C2×#11745669 | — | 2 | 3 | no | — |
| 124 | D8×D59 | — | 2 | 3 | no | — |
| 125 | D8×D59 | — | 2 | 3 | no | — |
| 126 | D8×D59 | C23 | 1 | 3 | yes | — |
| 127 | D8×D59 | C23 | 1 | 6 | yes | — |
| 128 | D8×D59 | C23 | 1 | 3 | yes | complemented |
| 129 | #14273735 | D4 | 1 | 3 | yes | — |
| 130 | #14273734 | D4 | 1 | 1 | yes | characteristic |
| 131 | #14273733 | C23 | 1 | 3 | yes | — |
| 132 | M16×D59 | D4 | 1 | 3 | yes | — |
| 133 | C2×C8×D59 | C23 | 1 | 3 | yes | — |
| 134 | Dic472 | C23 | 1 | 1 | yes | characteristic, complemented |
| 135 | #14273673 | C23 | 1 | 1 | yes | characteristic, complemented |
| 136 | #14273673 | C23 | 1 | 3 | yes | complemented |
| 137 | #14273672 | C23 | 1 | 3 | yes | complemented |
| 138 | #14273672 | C23 | 1 | 3 | yes | complemented |
| 139 | #14273671 | C23 | 1 | 3 | yes | complemented |
| 140 | #14273671 | C23 | 1 | 1 | yes | characteristic, complemented |
| 141 | #14273670 | C23 | 1 | 6 | yes | complemented |
| 142 | #14273670 | C23 | 1 | 3 | yes | complemented |
| 143 | #14273670 | C23 | 1 | 3 | yes | complemented |
| 144 | D944 | C23 | 1 | 6 | yes | complemented |
| 145 | D944 | C23 | 1 | 3 | yes | complemented |
| 146 | #14273668 | C23 | 1 | 3 | yes | complemented |
| 147 | #14273668 | C23 | 1 | 6 | yes | complemented |
| 148 | #14273668 | C23 | 1 | 3 | yes | complemented |
| 149 | #14273667 | C23 | 1 | 3 | yes | complemented |
| 150 | #14273666 | C23 | 1 | 3 | yes | — |
| 151 | #14273666 | C23 | 1 | 1 | yes | characteristic |
| 152 | #14273666 | C23 | 1 | 3 | yes | complemented |
| 153 | #14273666 | C23 | 1 | 3 | yes | complemented |
| 154 | C2×C59⋊C16 | C23 | 1 | 3 | yes | complemented |
| 155 | C16×D59 | C23 | 1 | 6 | yes | complemented |
| 156 | 2−1+4×C59 | — | 2 | 1 | no | — |
| 157 | H(5,𝔽2)×C59 | — | 2 | 1 | no | — |
| 158 | #137×C59 | — | 2 | 3 | no | — |
| 159 | AGL(1,ℤ/8)×C59 | — | 2 | 3 | no | — |
| 160 | #135×C59 | C23 | 1 | 3 | yes | — |
| 161 | #135×C59 | C23 | 1 | 3 | yes | complemented |
| 162 | C2×Q16×C59 | C23 | 1 | 3 | yes | complemented |
| 163 | C2×D8×C59 | C23 | 1 | 3 | yes | — |
| 164 | #131×C59 | C23 | 1 | 1 | yes | characteristic |
| 165 | Q32×C59 | C23 | 1 | 3 | yes | complemented |
| 166 | SD32×C59 | C23 | 1 | 3 | yes | complemented |
| 167 | SD32×C59 | C23 | 1 | 6 | yes | complemented |
| 168 | SD32×C59 | C23 | 1 | 1 | yes | characteristic, complemented |
| 169 | D16×C59 | C23 | 1 | 3 | yes | complemented |
| 170 | M32×C59 | C23 | 1 | 3 | yes | complemented |
| 171 | C2×C16×C59 | C23 | 1 | 3 | yes | complemented |
| 172 | C23×D59 | — | 4 | 3 | no | — |
| 173 | #41×C59 | — | 2 | 3 | no | — |
| 174 | #41×C59 | — | 2 | 3 | no | — |
| 175 | #41×C59 | — | 4 | 1 | no | — |
| 176 | #41×C59 | — | 4 | 3 | no | — |
| 177 | #41×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 178 | C2×Q8×C59 | — | 2 | 3 | no | — |
| 179 | C2×Q8×C59 | — | 4 | 1 | no | — |
| 180 | C2×D4×C59 | — | 2 | 3 | no | — |
| 181 | C2×D4×C59 | — | 4 | 3 | no | — |
| 182 | C2×C22⋊D59 | — | 4 | 6 | no | — |
| 183 | C2×C22⋊D59 | — | 4 | 3 | no | — |
| 184 | #11745689 | — | 2 | 3 | no | — |
| 185 | #11745689 | — | 2 | 3 | no | — |
| 186 | #11745689 | — | 2 | 6 | no | — |
| 187 | #11745689 | — | 4 | 1 | no | — |
| 188 | #11745689 | — | 4 | 1 | no | — |
| 189 | #11745689 | — | 4 | 3 | no | — |
| 190 | #11745689 | — | 4 | 3 | no | — |
| 191 | #11745689 | — | 4 | 3 | no | — |
| 192 | #11745689 | D8 | 1 | 1 | yes | characteristic |
| 193 | Q8×D59 | — | 2 | 1 | no | — |
| 194 | Q8×D59 | — | 2 | 3 | no | — |
| 195 | Q8×D59 | — | 4 | 3 | no | — |
| 196 | Q8×D59 | D8 | 1 | 1 | yes | characteristic |
| 197 | #11745687 | — | 2 | 1 | no | — |
| 198 | #11745687 | — | 2 | 3 | no | — |
| 199 | #11745687 | — | 4 | 3 | no | — |
| 200 | #11745687 | — | 4 | 3 | no | — |
| 201 | #11745687 | — | 4 | 3 | no | — |
| 202 | #11745687 | D8 | 1 | 3 | yes | — |
| 203 | D4×D59 | — | 2 | 3 | no | — |
| 204 | D4×D59 | — | 2 | 6 | no | — |
| 205 | D4×D59 | — | 2 | 3 | no | — |
| 206 | D4×D59 | — | 4 | 3 | no | — |
| 207 | D4×D59 | — | 4 | 3 | no | — |
| 208 | D4×D59 | — | 4 | 3 | no | — |
| 209 | D4×D59 | — | 4 | 3 | no | — |
| 210 | D4×D59 | — | 4 | 6 | no | — |
| 211 | D4×D59 | — | 4 | 6 | no | — |
| 212 | D4×D59 | — | 4 | 3 | no | — |
| 213 | D4×D59 | — | 4 | 3 | no | — |
| 214 | D4×D59 | — | 4 | 3 | no | — |
| 215 | D4×D59 | D8 | 1 | 3 | yes | — |
| 216 | #11745685 | — | 2 | 3 | no | — |
| 217 | #11745685 | — | 2 | 3 | no | — |
| 218 | #11745685 | — | 4 | 6 | no | — |
| 219 | #11745685 | — | 4 | 3 | no | — |
| 220 | #11745685 | — | 4 | 3 | no | — |
| 221 | #11745685 | — | 4 | 3 | no | — |
| 222 | #11745685 | — | 4 | 3 | no | — |
| 223 | #11745685 | C2×D4 | 1 | 3 | yes | — |
| 224 | C2×D236 | — | 2 | 3 | no | — |
| 225 | C2×D236 | — | 2 | 3 | no | — |
| 226 | C2×D236 | — | 4 | 3 | no | — |
| 227 | C2×D236 | — | 4 | 3 | no | — |
| 228 | C2×D236 | — | 4 | 3 | no | — |
| 229 | C2×C4×D59 | — | 4 | 3 | no | — |
| 230 | C2×C4×D59 | — | 4 | 3 | no | — |
| 231 | C2×C4×D59 | — | 4 | 3 | no | — |
| 232 | C2×C4×D59 | C2×D4 | 1 | 3 | yes | — |
| 233 | Q16×C59 | — | 2 | 3 | no | — |
| 234 | Q16×C59 | C24 | 1 | 3 | yes | — |
| 235 | Q16×C59 | C24 | 1 | 1 | yes | characteristic |
| 236 | SD16×C59 | — | 2 | 3 | no | — |
| 237 | SD16×C59 | — | 2 | 3 | no | — |
| 238 | D8×C59 | — | 2 | 3 | no | — |
| 239 | D8×C59 | C24 | 1 | 1 | yes | characteristic |
| 240 | D8×C59 | C24 | 1 | 3 | yes | — |
| 241 | M16×C59 | C2×D4 | 1 | 3 | yes | — |
| 242 | C2×C8×C59 | C24 | 1 | 3 | yes | — |
| 243 | #11745672 | — | 2 | 1 | no | — |
| 244 | #11745672 | — | 2 | 3 | no | — |
| 245 | #11745671 | — | 2 | 3 | no | — |
| 246 | #11745671 | — | 2 | 3 | no | — |
| 247 | #11745671 | — | 2 | 6 | no | — |
| 248 | #11745670 | — | 2 | 1 | no | — |
| 249 | #11745670 | — | 2 | 3 | no | — |
| 250 | #11745669 | — | 2 | 3 | no | — |
| 251 | #11745669 | — | 2 | 6 | no | — |
| 252 | #11745669 | — | 2 | 3 | no | — |
| 253 | #11745664 | C2×D4 | 1 | 3 | yes | — |
| 254 | C2×C59⋊C8 | C2×D4 | 1 | 3 | yes | — |
| 255 | Dic236 | C24 | 1 | 1 | yes | characteristic |
| 256 | Dic236 | C24 | 1 | 1 | yes | characteristic |
| 257 | D472 | — | 2 | 3 | no | — |
| 258 | D472 | — | 2 | 3 | no | — |
| 259 | D472 | C24 | 1 | 3 | yes | — |
| 260 | D472 | C24 | 1 | 3 | yes | — |
| 261 | #11745660 | — | 2 | 3 | no | — |
| 262 | #11745660 | — | 2 | 3 | no | — |
| 263 | #11745659 | C2×D4 | 1 | 6 | yes | — |
| 264 | C8×D59 | C2×D4 | 1 | 3 | yes | — |
| 265 | C8×D59 | C2×D4 | 1 | 3 | yes | — |
| 266 | C8×D59 | C24 | 1 | 3 | yes | — |
| 267 | C8×D59 | C24 | 1 | 1 | yes | characteristic |
| 268 | C16×C59 | C24 | 1 | 1 | yes | characteristic |
| 269 | C16×C59 | C24 | 1 | 3 | yes | — |
| 270 | C59⋊C16 | C24 | 1 | 3 | yes | — |
| 271 | C59⋊C16 | C24 | 1 | 1 | yes | characteristic |
| 272 | C23×C59 | — | 4 | 3 | no | — |
| 273 | C22×D59 | — | 4 | 3 | no | — |
| 274 | C22×D59 | — | 4 | 3 | no | — |
| 275 | C22×D59 | — | 4 | 3 | no | — |
| 276 | C22×D59 | — | 4 | 3 | no | — |
| 277 | C22×D59 | — | 4 | 6 | no | — |
| 278 | C22×D59 | — | 16 | 6 | no | — |
| 279 | C22×D59 | C2×D8 | 1 | 3 | yes | — |
| 280 | Q8×C59 | — | 2 | 1 | no | — |
| 281 | Q8×C59 | — | 2 | 3 | no | — |
| 282 | Q8×C59 | — | 4 | 3 | no | — |
| 283 | Q8×C59 | C2×D8 | 1 | 1 | yes | characteristic |
| 284 | D4×C59 | — | 2 | 3 | no | — |
| 285 | D4×C59 | — | 2 | 1 | no | — |
| 286 | D4×C59 | — | 4 | 3 | no | — |
| 287 | D4×C59 | — | 4 | 3 | no | — |
| 288 | D4×C59 | — | 4 | 3 | no | — |
| 289 | D4×C59 | C2×D8 | 1 | 3 | yes | — |
| 290 | C2×C4×C59 | — | 4 | 3 | no | — |
| 291 | C2×C4×C59 | — | 4 | 3 | no | — |
| 292 | C2×C4×C59 | — | 4 | 3 | no | — |
| 293 | C2×C4×C59 | C22×D4 | 1 | 3 | yes | — |
| 294 | C22⋊D59 | — | 4 | 3 | no | — |
| 295 | C22⋊D59 | — | 4 | 3 | no | — |
| 296 | C22⋊D59 | — | 4 | 1 | no | — |
| 297 | C22⋊D59 | — | 4 | 3 | no | — |
| 298 | C22⋊D59 | — | 4 | 3 | no | — |
| 299 | C22⋊D59 | — | 4 | 6 | no | — |
| 300 | C22⋊D59 | — | 4 | 3 | no | — |
| 301 | C22⋊D59 | C2×D8 | 1 | 6 | yes | — |
| 302 | C2×Dic59 | — | 4 | 1 | no | — |
| 303 | C2×Dic59 | — | 4 | 3 | no | — |
| 304 | C2×Dic59 | C2×D8 | 1 | 3 | yes | — |
| 305 | D236 | — | 2 | 3 | no | — |
| 306 | D236 | — | 2 | 3 | no | — |
| 307 | D236 | — | 4 | 3 | no | — |
| 308 | D236 | — | 4 | 3 | no | — |
| 309 | D236 | — | 4 | 6 | no | — |
| 310 | D236 | — | 4 | 3 | no | — |
| 311 | D236 | — | 4 | 3 | no | — |
| 312 | D236 | C2×D8 | 1 | 3 | yes | — |
| 313 | C4×D59 | — | 4 | 1 | no | — |
| 314 | C4×D59 | — | 4 | 3 | no | — |
| 315 | C4×D59 | — | 4 | 3 | no | — |
| 316 | C4×D59 | — | 4 | 3 | no | — |
| 317 | C4×D59 | — | 4 | 3 | no | — |
| 318 | C4×D59 | — | 4 | 3 | no | — |
| 319 | C4×D59 | — | 4 | 6 | no | — |
| 320 | C4×D59 | C2×D8 | 1 | 3 | yes | — |
| 321 | C4×D59 | C2×D8 | 1 | 3 | yes | — |
| 322 | C4×D59 | C22×D4 | 1 | 1 | yes | characteristic |
| 323 | C4×D59 | C22×D4 | 1 | 3 | yes | — |
| 324 | Dic118 | — | 2 | 1 | no | — |
| 325 | Dic118 | — | 2 | 1 | no | — |
| 326 | Dic118 | — | 4 | 1 | no | — |
| 327 | Dic118 | — | 4 | 3 | no | — |
| 328 | Dic118 | C2×D8 | 1 | 3 | yes | — |
| 329 | C8×C59 | C22×D4 | 1 | 3 | yes | — |
| 330 | C8×C59 | C25 | 1 | 1 | yes | characteristic |
| 331 | C59⋊C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 332 | C59⋊C8 | C22×D4 | 1 | 3 | yes | — |
| 333 | #62636 | — | 59 | 1 | no | maximal, Sylow |
| 334 | C22×C59 | — | 4 | 1 | no | — |
| 335 | C22×C59 | — | 4 | 3 | no | — |
| 336 | C22×C59 | — | 16 | 3 | no | — |
| 337 | C22×C59 | C22×D8 | 1 | 3 | yes | — |
| 338 | C2×D59 | — | 4 | 3 | no | — |
| 339 | C2×D59 | — | 4 | 3 | no | — |
| 340 | C2×D59 | — | 4 | 3 | no | — |
| 341 | C2×D59 | — | 8 | 6 | no | — |
| 342 | C2×D59 | — | 16 | 3 | no | — |
| 343 | C2×D59 | — | 16 | 6 | no | — |
| 344 | C2×D59 | — | 16 | 3 | no | — |
| 345 | C2×D59 | — | 16 | 3 | no | — |
| 346 | C2×D59 | C22×D8 | 1 | 1 | yes | characteristic |
| 347 | C2×D59 | C22×D8 | 1 | 3 | yes | — |
| 348 | C4×C59 | — | 4 | 1 | no | — |
| 349 | C4×C59 | — | 4 | 3 | no | — |
| 350 | C4×C59 | C22×D8 | 1 | 3 | yes | — |
| 351 | C4×C59 | C23×D4 | 1 | 1 | yes | characteristic |
| 352 | Dic59 | — | 4 | 1 | no | — |
| 353 | Dic59 | — | 4 | 1 | no | — |
| 354 | Dic59 | C22×D8 | 1 | 3 | yes | — |
| 355 | Dic59 | C22×D8 | 1 | 1 | yes | characteristic |
| 356 | #3584 | — | 59 | 1 | no | — |
| 357 | C2×#576 | — | 59 | 1 | no | — |
| 358 | #3416 | — | 59 | 3 | no | — |
| 359 | #3416 | — | 59 | 3 | no | — |
| 360 | #3416 | — | 59 | 1 | no | — |
| 361 | #3416 | D59 | 1 | 1 | yes | characteristic, complemented |
| 362 | #3415 | — | 59 | 3 | no | — |
| 363 | #3415 | — | 59 | 3 | no | — |
| 364 | #3415 | — | 59 | 1 | no | — |
| 365 | #3415 | — | 59 | 1 | no | — |
| 366 | #3414 | — | 59 | 3 | no | — |
| 367 | #3414 | — | 59 | 3 | no | — |
| 368 | C2×#509 | — | 59 | 3 | no | — |
| 369 | C2×#509 | — | 59 | 3 | no | — |
| 370 | #3407 | — | 59 | 1 | no | — |
| 371 | C2×C59 | — | 2 | 3 | no | — |
| 372 | C2×C59 | — | 8 | 3 | no | — |
| 373 | C2×C59 | — | 8 | 1 | no | — |
| 374 | C2×C59 | C23×D8 | 1 | 1 | yes | characteristic |
| 375 | D59 | — | 2 | 1 | no | — |
| 376 | D59 | — | 2 | 3 | no | — |
| 377 | D59 | — | 8 | 3 | no | — |
| 378 | D59 | — | 8 | 3 | no | — |
| 379 | #585 | — | 118 | 1 | no | — |
| 380 | C2×H(5,𝔽2) | — | 118 | 1 | no | — |
| 381 | #578 | — | 59 | 3 | no | — |
| 382 | #578 | C2×D59 | 1 | 1 | yes | characteristic, complemented |
| 383 | #577 | — | 118 | 3 | no | — |
| 384 | #577 | — | 118 | 1 | no | — |
| 385 | #576 | — | 59 | 3 | no | — |
| 386 | #576 | — | 59 | 3 | no | — |
| 387 | #576 | — | 59 | 3 | no | — |
| 388 | #576 | — | 59 | 1 | no | — |
| 389 | #576 | — | 59 | 1 | no | — |
| 390 | #576 | — | 118 | 3 | no | — |
| 391 | #576 | — | 118 | 1 | no | — |
| 392 | #576 | C2×D59 | 1 | 1 | yes | characteristic, complemented |
| 393 | #575 | — | 118 | 3 | no | — |
| 394 | C2×AGL(1,ℤ/8) | — | 118 | 3 | no | — |
| 395 | C2×#135 | — | 59 | 3 | no | — |
| 396 | C2×#135 | — | 59 | 3 | no | — |
| 397 | C2×#135 | — | 59 | 3 | no | — |
| 398 | C22×D8 | — | 59 | 3 | no | — |
| 399 | C2×#131 | — | 59 | 1 | no | — |
| 400 | #510 | — | 59 | 3 | no | — |
| 401 | #510 | — | 59 | 3 | no | — |
| 402 | #510 | — | 59 | 3 | no | — |
| 403 | #510 | — | 59 | 1 | no | — |
| 404 | #510 | — | 59 | 3 | no | — |
| 405 | #510 | C2×D59 | 1 | 3 | yes | complemented |
| 406 | #509 | — | 59 | 3 | no | — |
| 407 | #509 | — | 59 | 3 | no | — |
| 408 | #509 | — | 59 | 3 | no | — |
| 409 | #509 | — | 59 | 6 | no | — |
| 410 | #509 | — | 59 | 3 | no | — |
| 411 | #509 | — | 59 | 6 | no | — |
| 412 | #509 | — | 59 | 6 | no | — |
| 413 | #509 | — | 59 | 3 | no | — |
| 414 | #509 | — | 59 | 3 | no | — |
| 415 | #509 | — | 59 | 3 | no | — |
| 416 | #509 | — | 59 | 3 | no | — |
| 417 | #509 | — | 59 | 3 | no | — |
| 418 | #509 | C2×D59 | 1 | 3 | yes | complemented |
| 419 | #508 | — | 59 | 3 | no | — |
| 420 | #508 | — | 59 | 3 | no | — |
| 421 | #508 | — | 59 | 6 | no | — |
| 422 | #508 | — | 59 | 6 | no | — |
| 423 | #508 | — | 59 | 3 | no | — |
| 424 | #508 | C2×D59 | 1 | 3 | yes | complemented |
| 425 | C2×SD32 | — | 59 | 3 | no | — |
| 426 | C2×SD32 | — | 59 | 6 | no | — |
| 427 | C2×SD32 | C2×D59 | 1 | 3 | yes | complemented |
| 428 | C2×D16 | — | 59 | 3 | no | — |
| 429 | C2×D16 | — | 59 | 6 | no | — |
| 430 | C2×D16 | — | 59 | 3 | no | — |
| 431 | #504 | — | 59 | 1 | no | — |
| 432 | #504 | — | 59 | 3 | no | — |
| 433 | #504 | — | 59 | 3 | no | — |
| 434 | #504 | C2×D59 | 1 | 1 | yes | characteristic, complemented |
| 435 | C2×M32 | — | 59 | 3 | no | — |
| 436 | C2×M32 | — | 59 | 3 | no | — |
| 437 | C59 | #62636 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 438 | 2−1+4 | — | 2 | 1 | no | — |
| 439 | 2−1+4 | — | 118 | 3 | no | — |
| 440 | 2−1+4 | — | 236 | 1 | no | — |
| 441 | H(5,𝔽2) | — | 2 | 1 | no | — |
| 442 | H(5,𝔽2) | — | 118 | 3 | no | — |
| 443 | H(5,𝔽2) | — | 118 | 3 | no | — |
| 444 | H(5,𝔽2) | — | 118 | 3 | no | — |
| 445 | H(5,𝔽2) | — | 118 | 1 | no | — |
| 446 | H(5,𝔽2) | — | 118 | 1 | no | — |
| 447 | H(5,𝔽2) | — | 236 | 3 | no | — |
| 448 | H(5,𝔽2) | — | 236 | 3 | no | — |
| 449 | H(5,𝔽2) | — | 236 | 1 | no | — |
| 450 | C2×#41 | — | 59 | 1 | no | — |
| 451 | C2×#41 | — | 118 | 3 | no | — |
| 452 | C2×#41 | — | 118 | 3 | no | — |
| 453 | C2×#41 | — | 118 | 3 | no | — |
| 454 | C2×#41 | — | 236 | 1 | no | — |
| 455 | C2×#41 | — | 236 | 1 | no | — |
| 456 | C2×#41 | — | 236 | 3 | no | — |
| 457 | C22×D4 | — | 118 | 3 | no | — |
| 458 | C22×D4 | — | 236 | 3 | no | — |
| 459 | #137 | — | 2 | 3 | no | — |
| 460 | #137 | — | 118 | 6 | no | — |
| 461 | #137 | — | 118 | 3 | no | — |
| 462 | AGL(1,ℤ/8) | — | 2 | 3 | no | — |
| 463 | AGL(1,ℤ/8) | — | 118 | 6 | no | — |
| 464 | AGL(1,ℤ/8) | — | 118 | 6 | no | — |
| 465 | AGL(1,ℤ/8) | — | 118 | 6 | no | — |
| 466 | AGL(1,ℤ/8) | — | 118 | 3 | no | — |
| 467 | AGL(1,ℤ/8) | — | 118 | 3 | no | — |
| 468 | AGL(1,ℤ/8) | — | 118 | 3 | no | — |
| 469 | AGL(1,ℤ/8) | — | 118 | 3 | no | — |
| 470 | AGL(1,ℤ/8) | — | 118 | 3 | no | — |
| 471 | #135 | — | 59 | 3 | no | — |
| 472 | #135 | — | 59 | 3 | no | — |
| 473 | #135 | — | 59 | 6 | no | — |
| 474 | #135 | — | 59 | 1 | no | — |
| 475 | #135 | — | 59 | 3 | no | — |
| 476 | #135 | — | 59 | 3 | no | — |
| 477 | #135 | — | 59 | 3 | no | — |
| 478 | #135 | — | 118 | 3 | no | — |
| 479 | #135 | — | 118 | 3 | no | — |
| 480 | #135 | — | 118 | 3 | no | — |
| 481 | #135 | — | 118 | 3 | no | — |
| 482 | #135 | — | 118 | 3 | no | — |
| 483 | #135 | — | 118 | 3 | no | — |
| 484 | #135 | C22×D59 | 1 | 3 | yes | — |
| 485 | #135 | C22×D59 | 1 | 3 | yes | complemented |
| 486 | C2×Q16 | — | 59 | 1 | no | — |
| 487 | C2×Q16 | — | 59 | 3 | no | — |
| 488 | C2×Q16 | C22×D59 | 1 | 3 | yes | complemented |
| 489 | C2×SD16 | — | 118 | 3 | no | — |
| 490 | C2×SD16 | — | 118 | 3 | no | — |
| 491 | C2×SD16 | — | 118 | 3 | no | — |
| 492 | C2×D8 | — | 59 | 3 | no | — |
| 493 | C2×D8 | — | 59 | 6 | no | — |
| 494 | C2×D8 | — | 59 | 3 | no | — |
| 495 | C2×D8 | — | 59 | 3 | no | — |
| 496 | C2×D8 | — | 59 | 3 | no | — |
| 497 | C2×D8 | — | 118 | 3 | no | — |
| 498 | C2×D8 | — | 118 | 3 | no | — |
| 499 | C2×D8 | — | 118 | 3 | no | — |
| 500 | C2×D8 | C22×D59 | 1 | 3 | yes | — |
| 501 | #131 | — | 59 | 1 | no | — |
| 502 | #131 | — | 59 | 3 | no | — |
| 503 | #131 | — | 59 | 3 | no | — |
| 504 | #131 | C22×D59 | 1 | 1 | yes | characteristic |
| 505 | C2×M16 | — | 59 | 3 | no | — |
| 506 | C22×C8 | — | 59 | 3 | no | — |
| 507 | Q32 | — | 59 | 1 | no | — |
| 508 | Q32 | — | 59 | 3 | no | — |
| 509 | Q32 | — | 59 | 1 | no | — |
| 510 | Q32 | C22×D59 | 1 | 3 | yes | complemented |
| 511 | SD32 | — | 59 | 6 | no | — |
| 512 | SD32 | — | 59 | 3 | no | — |
| 513 | SD32 | — | 59 | 3 | no | — |
| 514 | SD32 | — | 59 | 3 | no | — |
| 515 | SD32 | — | 59 | 1 | no | — |
| 516 | SD32 | — | 59 | 3 | no | — |
| 517 | SD32 | — | 59 | 3 | no | — |
| 518 | SD32 | C22×D59 | 1 | 6 | yes | complemented |
| 519 | SD32 | C22×D59 | 1 | 3 | yes | complemented |
| 520 | SD32 | C22×D59 | 1 | 1 | yes | characteristic, complemented |
| 521 | D16 | — | 59 | 6 | no | — |
| 522 | D16 | — | 59 | 3 | no | — |
| 523 | D16 | — | 59 | 3 | no | — |
| 524 | D16 | — | 59 | 6 | no | — |
| 525 | D16 | — | 59 | 3 | no | — |
| 526 | D16 | C22×D59 | 1 | 3 | yes | complemented |
| 527 | M32 | — | 59 | 3 | no | — |
| 528 | M32 | — | 59 | 3 | no | — |
| 529 | M32 | — | 59 | 1 | no | — |
| 530 | M32 | — | 59 | 3 | no | — |
| 531 | M32 | — | 59 | 3 | no | — |
| 532 | M32 | C22×D59 | 1 | 3 | yes | complemented |
| 533 | C2×C16 | — | 59 | 3 | no | — |
| 534 | C2×C16 | — | 59 | 6 | no | — |
| 535 | C2×C16 | C22×D59 | 1 | 3 | yes | complemented |
| 536 | C24 | — | 236 | 3 | no | — |
| 537 | #41 | — | 2 | 3 | no | — |
| 538 | #41 | — | 2 | 3 | no | — |
| 539 | #41 | — | 4 | 1 | no | — |
| 540 | #41 | — | 4 | 3 | no | — |
| 541 | #41 | — | 59 | 1 | no | — |
| 542 | #41 | — | 59 | 3 | no | — |
| 543 | #41 | — | 59 | 3 | no | — |
| 544 | #41 | — | 118 | 1 | no | — |
| 545 | #41 | — | 118 | 3 | no | — |
| 546 | #41 | — | 118 | 3 | no | — |
| 547 | #41 | — | 118 | 3 | no | — |
| 548 | #41 | — | 118 | 6 | no | — |
| 549 | #41 | — | 118 | 3 | no | — |
| 550 | #41 | — | 118 | 3 | no | — |
| 551 | #41 | — | 236 | 3 | no | — |
| 552 | #41 | — | 236 | 3 | no | — |
| 553 | #41 | — | 236 | 6 | no | — |
| 554 | #41 | — | 236 | 3 | no | — |
| 555 | #41 | — | 236 | 3 | no | — |
| 556 | #41 | — | 236 | 3 | no | — |
| 557 | #41 | — | 236 | 3 | no | — |
| 558 | #41 | — | 236 | 3 | no | — |
| 559 | #41 | — | 236 | 3 | no | — |
| 560 | #41 | — | 236 | 3 | no | — |
| 561 | #41 | — | 236 | 3 | no | — |
| 562 | #41 | — | 236 | 1 | no | — |
| 563 | #41 | — | 236 | 1 | no | — |
| 564 | #41 | D4×D59 | 1 | 1 | yes | characteristic |
| 565 | C2×Q8 | — | 2 | 3 | no | — |
| 566 | C2×Q8 | — | 4 | 1 | no | — |
| 567 | C2×Q8 | — | 59 | 1 | no | — |
| 568 | C2×Q8 | — | 118 | 1 | no | — |
| 569 | C2×Q8 | — | 118 | 3 | no | — |
| 570 | C2×Q8 | — | 236 | 3 | no | — |
| 571 | C2×D4 | — | 2 | 3 | no | — |
| 572 | C2×D4 | — | 4 | 3 | no | — |
| 573 | C2×D4 | — | 59 | 3 | no | — |
| 574 | C2×D4 | — | 118 | 3 | no | — |
| 575 | C2×D4 | — | 118 | 6 | no | — |
| 576 | C2×D4 | — | 118 | 3 | no | — |
| 577 | C2×D4 | — | 118 | 3 | no | — |
| 578 | C2×D4 | — | 118 | 3 | no | — |
| 579 | C2×D4 | — | 236 | 3 | no | — |
| 580 | C2×D4 | — | 236 | 3 | no | — |
| 581 | C2×D4 | — | 236 | 3 | no | — |
| 582 | C2×D4 | — | 236 | 3 | no | — |
| 583 | C2×D4 | — | 236 | 3 | no | — |
| 584 | C2×D4 | — | 236 | 3 | no | — |
| 585 | C2×D4 | — | 236 | 6 | no | — |
| 586 | C2×D4 | — | 236 | 3 | no | — |
| 587 | C2×D4 | — | 236 | 6 | no | — |
| 588 | C2×D4 | — | 236 | 3 | no | — |
| 589 | C2×D4 | — | 236 | 3 | no | — |
| 590 | C2×D4 | — | 236 | 6 | no | — |
| 591 | C2×D4 | — | 236 | 3 | no | — |
| 592 | C2×D4 | — | 236 | 3 | no | — |
| 593 | C22×C4 | — | 59 | 3 | no | — |
| 594 | C22×C4 | — | 236 | 3 | no | — |
| 595 | C22×C4 | — | 236 | 3 | no | — |
| 596 | C22×C4 | — | 236 | 3 | no | — |
| 597 | Q16 | — | 2 | 3 | no | — |
| 598 | Q16 | — | 59 | 1 | no | — |
| 599 | Q16 | — | 59 | 1 | no | — |
| 600 | Q16 | — | 118 | 1 | no | — |
| 601 | Q16 | — | 118 | 3 | no | — |
| 602 | Q16 | C23×D59 | 1 | 3 | yes | — |
| 603 | Q16 | C23×D59 | 1 | 1 | yes | characteristic |
| 604 | SD16 | — | 2 | 3 | no | — |
| 605 | SD16 | — | 2 | 3 | no | — |
| 606 | SD16 | — | 118 | 1 | no | — |
| 607 | SD16 | — | 118 | 3 | no | — |
| 608 | SD16 | — | 118 | 3 | no | — |
| 609 | SD16 | — | 118 | 3 | no | — |
| 610 | SD16 | — | 118 | 6 | no | — |
| 611 | SD16 | — | 118 | 3 | no | — |
| 612 | SD16 | — | 118 | 3 | no | — |
| 613 | D8 | — | 2 | 3 | no | — |
| 614 | D8 | — | 59 | 3 | no | — |
| 615 | D8 | — | 59 | 3 | no | — |
| 616 | D8 | — | 118 | 3 | no | — |
| 617 | D8 | — | 118 | 6 | no | — |
| 618 | D8 | — | 118 | 3 | no | — |
| 619 | D8 | — | 118 | 3 | no | — |
| 620 | D8 | — | 118 | 3 | no | — |
| 621 | D8 | C23×D59 | 1 | 1 | yes | characteristic |
| 622 | D8 | C23×D59 | 1 | 3 | yes | — |
| 623 | M16 | — | 59 | 3 | no | — |
| 624 | M16 | — | 59 | 6 | no | — |
| 625 | M16 | D4×D59 | 1 | 3 | yes | — |
| 626 | C2×C8 | — | 59 | 3 | no | — |
| 627 | C2×C8 | — | 59 | 3 | no | — |
| 628 | C2×C8 | — | 59 | 3 | no | — |
| 629 | C2×C8 | — | 59 | 3 | no | — |
| 630 | C2×C8 | — | 59 | 1 | no | — |
| 631 | C2×C8 | C23×D59 | 1 | 3 | yes | — |
| 632 | C16 | — | 59 | 1 | no | — |
| 633 | C16 | — | 59 | 3 | no | — |
| 634 | C16 | C23×D59 | 1 | 3 | yes | — |
| 635 | C16 | C23×D59 | 1 | 1 | yes | characteristic |
| 636 | C23 | — | 4 | 3 | no | — |
| 637 | C23 | — | 59 | 3 | no | — |
| 638 | C23 | — | 944 | 6 | no | — |
| 639 | C23 | — | 236 | 3 | no | — |
| 640 | C23 | — | 236 | 6 | no | — |
| 641 | C23 | — | 236 | 3 | no | — |
| 642 | C23 | — | 236 | 3 | no | — |
| 643 | C23 | — | 236 | 3 | no | — |
| 644 | Q8 | — | 2 | 1 | no | — |
| 645 | Q8 | — | 2 | 3 | no | — |
| 646 | Q8 | — | 4 | 3 | no | — |
| 647 | Q8 | — | 59 | 3 | no | — |
| 648 | Q8 | — | 118 | 1 | no | — |
| 649 | Q8 | — | 118 | 1 | no | — |
| 650 | Q8 | — | 236 | 3 | no | — |
| 651 | Q8 | — | 236 | 1 | no | — |
| 652 | Q8 | D8×D59 | 1 | 1 | yes | characteristic |
| 653 | D4 | — | 2 | 3 | no | — |
| 654 | D4 | — | 2 | 1 | no | — |
| 655 | D4 | — | 4 | 3 | no | — |
| 656 | D4 | — | 4 | 3 | no | — |
| 657 | D4 | — | 4 | 3 | no | — |
| 658 | D4 | — | 59 | 6 | no | — |
| 659 | D4 | — | 59 | 3 | no | — |
| 660 | D4 | — | 118 | 3 | no | — |
| 661 | D4 | — | 118 | 3 | no | — |
| 662 | D4 | — | 236 | 3 | no | — |
| 663 | D4 | — | 236 | 3 | no | — |
| 664 | D4 | — | 236 | 6 | no | — |
| 665 | D4 | — | 236 | 3 | no | — |
| 666 | D4 | — | 236 | 6 | no | — |
| 667 | D4 | — | 236 | 3 | no | — |
| 668 | D4 | — | 236 | 3 | no | — |
| 669 | D4 | — | 236 | 1 | no | — |
| 670 | D4 | — | 236 | 3 | no | — |
| 671 | D4 | — | 236 | 3 | no | — |
| 672 | D4 | — | 236 | 3 | no | — |
| 673 | D4 | — | 236 | 3 | no | — |
| 674 | D4 | D8×D59 | 1 | 3 | yes | — |
| 675 | C2×C4 | — | 4 | 3 | no | — |
| 676 | C2×C4 | — | 4 | 3 | no | — |
| 677 | C2×C4 | — | 4 | 3 | no | — |
| 678 | C2×C4 | — | 59 | 3 | no | — |
| 679 | C2×C4 | — | 59 | 3 | no | — |
| 680 | C2×C4 | — | 59 | 3 | no | — |
| 681 | C2×C4 | — | 59 | 1 | no | — |
| 682 | C2×C4 | — | 59 | 3 | no | — |
| 683 | C2×C4 | — | 236 | 3 | no | — |
| 684 | C2×C4 | — | 236 | 3 | no | — |
| 685 | C2×C4 | — | 236 | 6 | no | — |
| 686 | C2×C4 | — | 236 | 1 | no | — |
| 687 | C2×C4 | — | 236 | 3 | no | — |
| 688 | C2×C4 | — | 236 | 1 | no | — |
| 689 | C2×C4 | — | 236 | 3 | no | — |
| 690 | C2×C4 | — | 236 | 3 | no | — |
| 691 | C2×C4 | — | 236 | 3 | no | — |
| 692 | C2×C4 | C2×D4×D59 | 1 | 3 | yes | — |
| 693 | C8 | — | 59 | 1 | no | — |
| 694 | C8 | — | 59 | 3 | no | — |
| 695 | C8 | C2×D4×D59 | 1 | 3 | yes | — |
| 696 | C8 | C24×D59 | 1 | 1 | yes | characteristic |
| 697 | C22 | — | 4 | 1 | no | — |
| 698 | C22 | — | 4 | 3 | no | — |
| 699 | C22 | — | 16 | 3 | no | — |
| 700 | C22 | — | 59 | 1 | no | — |
| 701 | C22 | — | 59 | 3 | no | — |
| 702 | C22 | — | 944 | 3 | no | — |
| 703 | C22 | — | 944 | 3 | no | — |
| 704 | C22 | — | 944 | 6 | no | — |
| 705 | C22 | — | 944 | 3 | no | — |
| 706 | C22 | — | 472 | 6 | no | — |
| 707 | C22 | — | 236 | 3 | no | — |
| 708 | C22 | — | 236 | 3 | no | — |
| 709 | C22 | — | 236 | 3 | no | — |
| 710 | C22 | C2×D8×D59 | 1 | 3 | yes | — |
| 711 | C4 | — | 4 | 1 | no | — |
| 712 | C4 | — | 4 | 3 | no | — |
| 713 | C4 | — | 59 | 1 | no | — |
| 714 | C4 | — | 59 | 3 | no | — |
| 715 | C4 | — | 236 | 1 | no | — |
| 716 | C4 | — | 236 | 1 | no | — |
| 717 | C4 | C2×D8×D59 | 1 | 3 | yes | — |
| 718 | C4 | C22×D4×D59 | 1 | 1 | yes | characteristic |
| 719 | C2 | — | 2 | 3 | no | — |
| 720 | C2 | — | 8 | 3 | no | — |
| 721 | C2 | — | 8 | 1 | no | — |
| 722 | C2 | — | 118 | 3 | no | — |
| 723 | C2 | — | 118 | 1 | no | — |
| 724 | C2 | — | 472 | 3 | no | — |
| 725 | C2 | — | 472 | 3 | no | — |
| 726 | C2 | C22×D8×D59 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta