| 1 | #21437523 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C4×#14273758 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C4×#14273725 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #21425439 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #21425318 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #21425315 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #21425311 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #21425255 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #21425141 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #21425133 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #21425129 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C4×#14273653 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | C4×#14273654 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C4×#14273645 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C4×#137×C59 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#14273758 | C22 | 1 | 1 | yes | characteristic |
| 17 | #16838030 | C22 | 1 | 1 | yes | characteristic |
| 18 | #16838023 | — | 2 | 1 | no | — |
| 19 | #16838017 | — | 2 | 1 | no | — |
| 20 | #16838014 | — | 2 | 1 | no | — |
| 21 | #16838010 | — | 2 | 1 | no | — |
| 22 | #16837994 | — | 2 | 2 | no | — |
| 23 | #16837980 | C22 | 1 | 1 | yes | characteristic |
| 24 | #16837978 | C22 | 1 | 1 | yes | characteristic |
| 25 | #16837973 | C22 | 1 | 1 | yes | characteristic |
| 26 | #16837959 | — | 2 | 1 | no | — |
| 27 | #16837956 | — | 2 | 1 | no | — |
| 28 | C2×#14273725 | C22 | 1 | 1 | yes | characteristic |
| 29 | #16837936 | — | 2 | 1 | no | — |
| 30 | #16837934 | — | 2 | 1 | no | — |
| 31 | #16837932 | — | 2 | 2 | no | — |
| 32 | C4×#11745685 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×C4×Dic118 | C22 | 1 | 1 | yes | characteristic |
| 34 | #16837507 | — | 2 | 1 | no | — |
| 35 | #16837500 | — | 2 | 1 | no | — |
| 36 | C4×#11745672 | — | 2 | 1 | no | — |
| 37 | C4×#11745671 | — | 2 | 1 | no | — |
| 38 | #16837442 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×#14273654 | C22 | 1 | 1 | yes | characteristic |
| 40 | C2×#14273654 | C22 | 1 | 1 | yes | characteristic |
| 41 | C2×#14273653 | C22 | 1 | 1 | yes | characteristic |
| 42 | C2×#14273653 | C22 | 1 | 1 | yes | characteristic |
| 43 | #16837411 | C22 | 1 | 1 | yes | characteristic |
| 44 | #16837401 | C22 | 1 | 1 | yes | characteristic |
| 45 | C2×#14273645 | C22 | 1 | 1 | yes | characteristic |
| 46 | C2×#14273645 | C22 | 1 | 1 | yes | characteristic |
| 47 | C4×#11745664 | C22 | 1 | 1 | yes | characteristic |
| 48 | #16837309 | C22 | 1 | 1 | yes | characteristic |
| 49 | #16837307 | C22 | 1 | 1 | yes | characteristic |
| 50 | #16837297 | — | 2 | 2 | no | — |
| 51 | #16837271 | C22 | 1 | 1 | yes | characteristic |
| 52 | C4×Dic59⋊C4 | — | 2 | 2 | no | — |
| 53 | C42×Dic59 | C22 | 1 | 1 | yes | characteristic |
| 54 | #16837170 | C22 | 1 | 1 | yes | characteristic |
| 55 | #16837170 | C22 | 1 | 1 | yes | characteristic |
| 56 | #16837163 | C22 | 1 | 1 | yes | characteristic |
| 57 | #16837163 | C22 | 1 | 1 | yes | characteristic |
| 58 | #16837161 | C22 | 1 | 1 | yes | characteristic |
| 59 | #16837161 | C22 | 1 | 1 | yes | characteristic |
| 60 | C2×#137×C59 | C22 | 1 | 1 | yes | characteristic |
| 61 | C4×#41×C59 | C22 | 1 | 1 | yes | characteristic |
| 62 | C2×C4×Q8×C59 | C22 | 1 | 1 | yes | characteristic |
| 63 | C59×#441 | — | 2 | 1 | no | — |
| 64 | C59×#440 | — | 2 | 1 | no | — |
| 65 | C4×Q16×C59 | — | 2 | 1 | no | — |
| 66 | C4×SD16×C59 | — | 2 | 1 | no | — |
| 67 | C59×#428 | C22 | 1 | 1 | yes | characteristic |
| 68 | C59×#419 | C22 | 1 | 1 | yes | characteristic |
| 69 | C59×#417 | C22 | 1 | 1 | yes | characteristic |
| 70 | C4×M16×C59 | C22 | 1 | 1 | yes | characteristic |
| 71 | C2×#11745685 | C23 | 1 | 1 | yes | characteristic |
| 72 | C22×Dic118 | C23 | 1 | 1 | yes | characteristic |
| 73 | #14273758 | — | 2 | 2 | no | — |
| 74 | #14273758 | — | 2 | 2 | no | — |
| 75 | C2×#11745672 | — | 2 | 1 | no | — |
| 76 | C2×#11745671 | — | 2 | 1 | no | — |
| 77 | C2×#11745664 | C23 | 1 | 1 | yes | characteristic |
| 78 | C2×#11745664 | C23 | 1 | 1 | yes | characteristic |
| 79 | #14273727 | — | 2 | 1 | no | — |
| 80 | #14273727 | — | 2 | 1 | no | — |
| 81 | #14273726 | — | 2 | 1 | no | — |
| 82 | #14273725 | — | 2 | 1 | no | — |
| 83 | #14273725 | — | 2 | 2 | no | — |
| 84 | #14273725 | — | 2 | 2 | no | — |
| 85 | #14273722 | — | 2 | 2 | no | — |
| 86 | #14273721 | — | 2 | 2 | no | — |
| 87 | #14273720 | — | 2 | 2 | no | — |
| 88 | #14273720 | — | 2 | 2 | no | — |
| 89 | #14273719 | — | 2 | 2 | no | — |
| 90 | #14273719 | — | 2 | 1 | no | — |
| 91 | #14273718 | — | 2 | 1 | no | — |
| 92 | #14273717 | — | 2 | 2 | no | — |
| 93 | #14273717 | — | 2 | 2 | no | — |
| 94 | #14273715 | — | 2 | 1 | no | — |
| 95 | #14273714 | — | 2 | 1 | no | — |
| 96 | #14273713 | — | 2 | 2 | no | — |
| 97 | #14273711 | — | 2 | 2 | no | — |
| 98 | #14273710 | — | 2 | 2 | no | — |
| 99 | #14273709 | — | 2 | 2 | no | — |
| 100 | #14273708 | — | 2 | 2 | no | — |
| 101 | #14273707 | — | 2 | 1 | no | — |
| 102 | #14273707 | — | 2 | 1 | no | — |
| 103 | #14273706 | — | 2 | 2 | no | — |
| 104 | #14273706 | — | 2 | 1 | no | — |
| 105 | #14273706 | — | 2 | 1 | no | — |
| 106 | #14273706 | — | 2 | 1 | no | — |
| 107 | #14273705 | — | 2 | 2 | no | — |
| 108 | #14273704 | — | 2 | 2 | no | — |
| 109 | #14273703 | — | 2 | 1 | no | — |
| 110 | #14273701 | — | 2 | 1 | no | — |
| 111 | #14273699 | — | 2 | 2 | no | — |
| 112 | #14273698 | — | 2 | 1 | no | — |
| 113 | C4×Dic118 | — | 2 | 2 | no | — |
| 114 | C4×Dic118 | — | 2 | 1 | no | — |
| 115 | C4×Dic118 | — | 2 | 1 | no | — |
| 116 | C4×Dic118 | — | 2 | 1 | no | — |
| 117 | C4×Dic118 | — | 2 | 1 | no | — |
| 118 | C4×Dic118 | D4 | 1 | 1 | yes | characteristic |
| 119 | C4×Dic118 | D4 | 1 | 1 | yes | characteristic |
| 120 | C4×D236 | D4 | 1 | 1 | yes | characteristic |
| 121 | C4×D236 | D4 | 1 | 1 | yes | characteristic |
| 122 | C4×C22⋊D59 | — | 2 | 2 | no | — |
| 123 | C4×C22⋊D59 | — | 2 | 1 | no | — |
| 124 | C4×C22⋊D59 | — | 2 | 1 | no | — |
| 125 | #14273686 | — | 2 | 2 | no | — |
| 126 | #14273686 | C23 | 1 | 1 | yes | characteristic |
| 127 | #14273684 | — | 2 | 2 | no | — |
| 128 | #14273684 | — | 2 | 1 | no | — |
| 129 | C2×C4⋊Dic59 | C23 | 1 | 1 | yes | characteristic |
| 130 | C2×Dic59⋊C4 | — | 2 | 2 | no | — |
| 131 | C2×Dic59⋊C4 | — | 2 | 2 | no | — |
| 132 | C2×Dic59⋊C4 | D4 | 1 | 2 | yes | — |
| 133 | C2×C4×Dic59 | — | 2 | 1 | no | — |
| 134 | C2×C4×Dic59 | — | 2 | 1 | no | — |
| 135 | C2×C4×Dic59 | D4 | 1 | 2 | yes | — |
| 136 | C2×C4×Dic59 | C23 | 1 | 1 | yes | characteristic |
| 137 | C2×C4×Dic59 | C23 | 1 | 1 | yes | characteristic |
| 138 | C42×D59 | — | 2 | 1 | no | — |
| 139 | #14273660 | — | 2 | 1 | no | — |
| 140 | #14273658 | — | 2 | 1 | no | — |
| 141 | #14273654 | — | 2 | 2 | no | — |
| 142 | #14273654 | — | 2 | 2 | no | — |
| 143 | #14273653 | — | 2 | 2 | no | — |
| 144 | #14273653 | — | 2 | 2 | no | — |
| 145 | #14273651 | — | 2 | 1 | no | — |
| 146 | #14273651 | — | 2 | 1 | no | — |
| 147 | #14273650 | — | 2 | 1 | no | — |
| 148 | #14273647 | — | 2 | 1 | no | — |
| 149 | #14273645 | — | 2 | 2 | no | — |
| 150 | #14273645 | — | 2 | 2 | no | — |
| 151 | #14273638 | — | 2 | 1 | no | — |
| 152 | C4×C59⋊C8 | — | 2 | 1 | no | — |
| 153 | C59⋊#95 | — | 2 | 2 | no | — |
| 154 | C59⋊#95 | — | 2 | 2 | no | — |
| 155 | C2×#41×C59 | C23 | 1 | 1 | yes | characteristic |
| 156 | C22×Q8×C59 | C23 | 1 | 1 | yes | characteristic |
| 157 | #137×C59 | — | 2 | 2 | no | — |
| 158 | #137×C59 | — | 2 | 2 | no | — |
| 159 | C2×Q16×C59 | — | 2 | 1 | no | — |
| 160 | C2×SD16×C59 | — | 2 | 1 | no | — |
| 161 | C2×M16×C59 | C23 | 1 | 1 | yes | characteristic |
| 162 | C2×M16×C59 | C23 | 1 | 1 | yes | characteristic |
| 163 | C4×Q8×C59 | — | 2 | 1 | no | — |
| 164 | C4×Q8×C59 | — | 2 | 1 | no | — |
| 165 | C4×Q8×C59 | — | 2 | 1 | no | — |
| 166 | C4×Q8×C59 | — | 2 | 1 | no | — |
| 167 | C4×Q8×C59 | D4 | 1 | 1 | yes | characteristic |
| 168 | C4×Q8×C59 | D4 | 1 | 1 | yes | characteristic |
| 169 | C4×D4×C59 | — | 2 | 1 | no | — |
| 170 | C4×D4×C59 | — | 2 | 1 | no | — |
| 171 | C4×D4×C59 | D4 | 1 | 1 | yes | characteristic |
| 172 | C4×D4×C59 | D4 | 1 | 1 | yes | characteristic |
| 173 | #117×C59 | — | 2 | 1 | no | — |
| 174 | #117×C59 | C23 | 1 | 1 | yes | characteristic |
| 175 | C2×C4⋊C4×C59 | — | 2 | 1 | no | — |
| 176 | C2×C4⋊C4×C59 | C23 | 1 | 1 | yes | characteristic |
| 177 | C2×C42×C59 | — | 2 | 1 | no | — |
| 178 | C2×C42×C59 | — | 2 | 1 | no | — |
| 179 | C2×C42×C59 | C23 | 1 | 1 | yes | characteristic |
| 180 | #107×C59 | — | 2 | 1 | no | — |
| 181 | #106×C59 | — | 2 | 1 | no | — |
| 182 | #103×C59 | — | 2 | 1 | no | — |
| 183 | #103×C59 | — | 2 | 1 | no | — |
| 184 | #103×C59 | — | 2 | 1 | no | — |
| 185 | #102×C59 | — | 2 | 1 | no | — |
| 186 | #97×C59 | — | 2 | 1 | no | — |
| 187 | C4×C8×C59 | — | 2 | 1 | no | — |
| 188 | #41×C59 | — | 2 | 1 | no | — |
| 189 | #41×C59 | — | 2 | 1 | no | — |
| 190 | #41×C59 | — | 2 | 1 | no | — |
| 191 | #41×C59 | — | 2 | 1 | no | — |
| 192 | C2×Q8×C59 | — | 2 | 1 | no | — |
| 193 | C2×Q8×C59 | — | 2 | 1 | no | — |
| 194 | C2×Q8×C59 | — | 2 | 1 | no | — |
| 195 | C2×Q8×C59 | — | 2 | 1 | no | — |
| 196 | C2×Q8×C59 | — | 2 | 1 | no | — |
| 197 | C2×Q8×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 198 | C2×Q8×C59 | #41 | 1 | 2 | yes | — |
| 199 | C2×D4×C59 | — | 2 | 1 | no | — |
| 200 | C2×D4×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 201 | C22×C4×C59 | — | 2 | 1 | no | — |
| 202 | C22×C4×C59 | — | 2 | 1 | no | — |
| 203 | C22×C4×C59 | — | 2 | 1 | no | — |
| 204 | C22×C4×C59 | — | 2 | 1 | no | — |
| 205 | C22×C4×C59 | — | 2 | 1 | no | — |
| 206 | C22×C4×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 207 | C22×C4×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 208 | C22×C4×C59 | C24 | 1 | 1 | yes | characteristic |
| 209 | C2×C22⋊D59 | — | 2 | 1 | no | — |
| 210 | C2×C22⋊D59 | — | 2 | 2 | no | — |
| 211 | C22×Dic59 | — | 2 | 1 | no | — |
| 212 | C22×Dic59 | — | 2 | 1 | no | — |
| 213 | C22×Dic59 | C2×D4 | 1 | 2 | yes | — |
| 214 | C22×Dic59 | C2×D4 | 1 | 2 | yes | — |
| 215 | #11745685 | — | 2 | 1 | no | — |
| 216 | #11745685 | — | 2 | 1 | no | — |
| 217 | #11745685 | — | 2 | 1 | no | — |
| 218 | #11745685 | — | 2 | 1 | no | — |
| 219 | C2×D236 | C2×D4 | 1 | 1 | yes | characteristic |
| 220 | C2×C4×D59 | — | 2 | 1 | no | — |
| 221 | C2×C4×D59 | — | 2 | 1 | no | — |
| 222 | C2×C4×D59 | — | 2 | 1 | no | — |
| 223 | C2×Dic118 | — | 2 | 1 | no | — |
| 224 | C2×Dic118 | — | 2 | 1 | no | — |
| 225 | C2×Dic118 | — | 2 | 1 | no | — |
| 226 | C2×Dic118 | — | 2 | 1 | no | — |
| 227 | C2×Dic118 | — | 2 | 1 | no | — |
| 228 | C2×Dic118 | — | 2 | 1 | no | — |
| 229 | C2×Dic118 | — | 2 | 2 | no | — |
| 230 | C2×Dic118 | C2×D4 | 1 | 1 | yes | characteristic |
| 231 | Q16×C59 | — | 2 | 4 | no | — |
| 232 | SD16×C59 | — | 2 | 4 | no | — |
| 233 | M16×C59 | — | 2 | 1 | no | — |
| 234 | M16×C59 | — | 2 | 1 | no | — |
| 235 | M16×C59 | — | 2 | 1 | no | — |
| 236 | M16×C59 | #41 | 1 | 2 | yes | — |
| 237 | C2×C8×C59 | — | 2 | 1 | no | — |
| 238 | C2×C8×C59 | — | 2 | 1 | no | — |
| 239 | C4⋊C4×C59 | — | 2 | 1 | no | — |
| 240 | C4⋊C4×C59 | — | 2 | 1 | no | — |
| 241 | C4⋊C4×C59 | — | 2 | 1 | no | — |
| 242 | C4⋊C4×C59 | — | 2 | 1 | no | — |
| 243 | C4⋊C4×C59 | — | 4 | 1 | no | — |
| 244 | C4⋊C4×C59 | — | 4 | 1 | no | — |
| 245 | C4⋊C4×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 246 | C4⋊C4×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 247 | C22⋊C4×C59 | — | 2 | 1 | no | — |
| 248 | C22⋊C4×C59 | — | 2 | 1 | no | — |
| 249 | C22⋊C4×C59 | — | 2 | 1 | no | — |
| 250 | C42×C59 | — | 2 | 1 | no | — |
| 251 | C42×C59 | — | 2 | 1 | no | — |
| 252 | C42×C59 | — | 2 | 1 | no | — |
| 253 | C42×C59 | — | 4 | 1 | no | — |
| 254 | C42×C59 | — | 4 | 1 | no | — |
| 255 | C42×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 256 | C42×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 257 | C42×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 258 | C42×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 259 | C22⋊Dic59 | — | 2 | 2 | no | — |
| 260 | C22⋊Dic59 | — | 2 | 2 | no | — |
| 261 | C22⋊Dic59 | — | 2 | 2 | no | — |
| 262 | C22⋊Dic59 | — | 2 | 1 | no | — |
| 263 | #11745672 | — | 2 | 4 | no | — |
| 264 | #11745671 | — | 2 | 4 | no | — |
| 265 | (C2×D59)⋊C4 | — | 2 | 2 | no | — |
| 266 | (C2×D59)⋊C4 | — | 2 | 2 | no | — |
| 267 | (C2×D59)⋊C4 | — | 2 | 2 | no | — |
| 268 | (C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 269 | (C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 270 | C4⋊Dic59 | — | 2 | 2 | no | — |
| 271 | C4⋊Dic59 | — | 2 | 2 | no | — |
| 272 | C4⋊Dic59 | — | 2 | 2 | no | — |
| 273 | C4⋊Dic59 | — | 2 | 1 | no | — |
| 274 | C4⋊Dic59 | — | 2 | 1 | no | — |
| 275 | C4⋊Dic59 | C2×D4 | 1 | 1 | yes | characteristic |
| 276 | C4⋊Dic59 | C2×D4 | 1 | 1 | yes | characteristic |
| 277 | Dic59⋊C4 | — | 2 | 8 | no | — |
| 278 | Dic59⋊C4 | — | 2 | 2 | no | — |
| 279 | Dic59⋊C4 | — | 2 | 2 | no | — |
| 280 | Dic59⋊C4 | — | 2 | 2 | no | — |
| 281 | Dic59⋊C4 | — | 2 | 2 | no | — |
| 282 | Dic59⋊C4 | — | 2 | 2 | no | — |
| 283 | Dic59⋊C4 | — | 2 | 2 | no | — |
| 284 | Dic59⋊C4 | — | 2 | 2 | no | — |
| 285 | Dic59⋊C4 | — | 2 | 1 | no | — |
| 286 | Dic59⋊C4 | — | 2 | 1 | no | — |
| 287 | Dic59⋊C4 | — | 4 | 4 | no | — |
| 288 | C4×Dic59 | — | 2 | 4 | no | — |
| 289 | C4×Dic59 | — | 2 | 1 | no | — |
| 290 | C4×Dic59 | — | 2 | 1 | no | — |
| 291 | C4×Dic59 | — | 2 | 2 | no | — |
| 292 | C4×Dic59 | — | 2 | 2 | no | — |
| 293 | C4×Dic59 | — | 2 | 1 | no | — |
| 294 | C4×Dic59 | — | 2 | 1 | no | — |
| 295 | C4×Dic59 | — | 2 | 1 | no | — |
| 296 | C4×Dic59 | — | 2 | 1 | no | — |
| 297 | C4×Dic59 | — | 4 | 2 | no | — |
| 298 | C4×Dic59 | #41 | 1 | 2 | yes | — |
| 299 | #11745664 | — | 2 | 1 | no | — |
| 300 | #11745664 | — | 2 | 1 | no | — |
| 301 | #11745664 | — | 2 | 1 | no | — |
| 302 | #11745664 | #41 | 1 | 2 | yes | — |
| 303 | C2×C59⋊C8 | — | 2 | 1 | no | — |
| 304 | C2×C59⋊C8 | — | 2 | 1 | no | — |
| 305 | C23×C59 | — | 2 | 1 | no | — |
| 306 | C23×C59 | C22×D4 | 1 | 1 | yes | characteristic |
| 307 | C22×D59 | — | 2 | 1 | no | — |
| 308 | Q8×C59 | — | 2 | 2 | no | — |
| 309 | Q8×C59 | — | 2 | 2 | no | — |
| 310 | Q8×C59 | — | 2 | 1 | no | — |
| 311 | Q8×C59 | — | 2 | 1 | no | — |
| 312 | Q8×C59 | — | 4 | 1 | no | — |
| 313 | Q8×C59 | — | 4 | 1 | no | — |
| 314 | D4×C59 | — | 2 | 1 | no | — |
| 315 | D4×C59 | — | 2 | 1 | no | — |
| 316 | D4×C59 | — | 4 | 1 | no | — |
| 317 | D4×C59 | — | 4 | 1 | no | — |
| 318 | C2×C4×C59 | — | 2 | 2 | no | — |
| 319 | C2×C4×C59 | — | 2 | 1 | no | — |
| 320 | C2×C4×C59 | — | 2 | 1 | no | — |
| 321 | C2×C4×C59 | — | 2 | 1 | no | — |
| 322 | C2×C4×C59 | — | 2 | 2 | no | — |
| 323 | C2×C4×C59 | — | 4 | 1 | no | — |
| 324 | C2×C4×C59 | — | 4 | 1 | no | — |
| 325 | C2×C4×C59 | — | 4 | 1 | no | — |
| 326 | C2×C4×C59 | — | 4 | 1 | no | — |
| 327 | C2×C4×C59 | — | 4 | 1 | no | — |
| 328 | C2×C4×C59 | — | 4 | 2 | no | — |
| 329 | C2×C4×C59 | — | 4 | 2 | no | — |
| 330 | C2×C4×C59 | — | 4 | 1 | no | — |
| 331 | C2×C4×C59 | — | 8 | 1 | no | — |
| 332 | C2×C4×C59 | #120 | 1 | 1 | yes | characteristic |
| 333 | C2×C4×C59 | #120 | 1 | 1 | yes | characteristic |
| 334 | C2×C4×C59 | #120 | 1 | 1 | yes | characteristic |
| 335 | C2×C4×C59 | #120 | 1 | 1 | yes | characteristic |
| 336 | C2×C4×C59 | C22×D4 | 1 | 1 | yes | characteristic |
| 337 | C2×C4×C59 | C22×D4 | 1 | 1 | yes | characteristic |
| 338 | C2×C4×C59 | C2×#41 | 1 | 1 | yes | characteristic |
| 339 | C2×C4×C59 | C2×#41 | 1 | 1 | yes | characteristic |
| 340 | C2×C4×C59 | C2×#41 | 1 | 1 | yes | characteristic |
| 341 | C2×C4×C59 | C2×#41 | 1 | 1 | yes | characteristic |
| 342 | C22⋊D59 | — | 4 | 1 | no | — |
| 343 | C22⋊D59 | — | 4 | 1 | no | — |
| 344 | C22⋊D59 | — | 8 | 2 | no | — |
| 345 | C2×Dic59 | — | 2 | 2 | no | — |
| 346 | C2×Dic59 | — | 2 | 2 | no | — |
| 347 | C2×Dic59 | — | 2 | 2 | no | — |
| 348 | C2×Dic59 | — | 2 | 2 | no | — |
| 349 | C2×Dic59 | — | 2 | 1 | no | — |
| 350 | C2×Dic59 | — | 2 | 2 | no | — |
| 351 | C2×Dic59 | — | 2 | 1 | no | — |
| 352 | C2×Dic59 | — | 2 | 2 | no | — |
| 353 | C2×Dic59 | — | 2 | 1 | no | — |
| 354 | C2×Dic59 | — | 2 | 2 | no | — |
| 355 | C2×Dic59 | — | 2 | 2 | no | — |
| 356 | C2×Dic59 | — | 4 | 1 | no | — |
| 357 | C2×Dic59 | — | 4 | 1 | no | — |
| 358 | C2×Dic59 | — | 4 | 2 | no | — |
| 359 | D236 | — | 2 | 1 | no | — |
| 360 | D236 | — | 2 | 1 | no | — |
| 361 | C4×D59 | — | 4 | 1 | no | — |
| 362 | C4×D59 | — | 4 | 1 | no | — |
| 363 | C4×D59 | — | 4 | 2 | no | — |
| 364 | C4×D59 | — | 8 | 1 | no | — |
| 365 | Dic118 | — | 2 | 1 | no | — |
| 366 | Dic118 | — | 2 | 1 | no | — |
| 367 | Dic118 | — | 4 | 1 | no | — |
| 368 | Dic118 | — | 4 | 1 | no | — |
| 369 | Dic118 | — | 4 | 1 | no | — |
| 370 | Dic118 | — | 4 | 1 | no | — |
| 371 | Dic118 | — | 8 | 2 | no | — |
| 372 | C8×C59 | — | 2 | 2 | no | — |
| 373 | C8×C59 | — | 4 | 1 | no | — |
| 374 | C59⋊C8 | — | 2 | 2 | no | — |
| 375 | C59⋊C8 | — | 4 | 1 | no | — |
| 376 | #23590 | — | 59 | 1 | no | maximal, Sylow |
| 377 | C22×C59 | — | 2 | 1 | no | — |
| 378 | C22×C59 | — | 2 | 1 | no | — |
| 379 | C22×C59 | — | 4 | 1 | no | — |
| 380 | C22×C59 | — | 4 | 1 | no | — |
| 381 | C22×C59 | — | 4 | 1 | no | — |
| 382 | C22×C59 | C2×#120 | 1 | 1 | yes | characteristic |
| 383 | C22×C59 | #525 | 1 | 1 | yes | characteristic |
| 384 | C22×C59 | #532 | 1 | 1 | yes | characteristic |
| 385 | C2×D59 | — | 4 | 1 | no | — |
| 386 | C2×D59 | — | 4 | 1 | no | — |
| 387 | C2×D59 | — | 4 | 1 | no | — |
| 388 | C4×C59 | — | 2 | 1 | no | — |
| 389 | C4×C59 | — | 2 | 1 | no | — |
| 390 | C4×C59 | — | 2 | 1 | no | — |
| 391 | C4×C59 | — | 4 | 1 | no | — |
| 392 | C4×C59 | — | 4 | 2 | no | — |
| 393 | C4×C59 | — | 4 | 1 | no | — |
| 394 | C4×C59 | — | 4 | 1 | no | — |
| 395 | C4×C59 | — | 8 | 1 | no | — |
| 396 | C4×C59 | #456 | 1 | 2 | yes | — |
| 397 | C4×C59 | #525 | 1 | 1 | yes | characteristic |
| 398 | C4×C59 | #525 | 1 | 1 | yes | characteristic |
| 399 | C4×C59 | #532 | 1 | 1 | yes | characteristic |
| 400 | C4×C59 | #532 | 1 | 1 | yes | characteristic |
| 401 | Dic59 | — | 2 | 4 | no | — |
| 402 | Dic59 | — | 4 | 2 | no | — |
| 403 | Dic59 | — | 4 | 1 | no | — |
| 404 | Dic59 | — | 4 | 2 | no | — |
| 405 | Dic59 | — | 4 | 1 | no | — |
| 406 | Dic59 | — | 4 | 1 | no | — |
| 407 | Dic59 | — | 4 | 2 | no | — |
| 408 | #3461 | — | 59 | 1 | no | — |
| 409 | C4×#137 | — | 59 | 1 | no | — |
| 410 | C4×#137 | D59 | 1 | 1 | yes | characteristic, complemented |
| 411 | C4×C4⋊Q8 | — | 59 | 1 | no | — |
| 412 | #2060 | — | 59 | 1 | no | — |
| 413 | #2039 | — | 59 | 1 | no | — |
| 414 | #2038 | — | 59 | 1 | no | — |
| 415 | #2038 | — | 59 | 1 | no | — |
| 416 | #2028 | — | 59 | 1 | no | — |
| 417 | #2007 | — | 59 | 1 | no | — |
| 418 | #2005 | — | 59 | 1 | no | — |
| 419 | #2005 | — | 59 | 1 | no | — |
| 420 | C4×#104 | — | 59 | 1 | no | — |
| 421 | C4×#104 | — | 59 | 1 | no | — |
| 422 | C4×#101 | — | 59 | 1 | no | — |
| 423 | C2×C59 | — | 2 | 1 | no | — |
| 424 | C2×C59 | — | 2 | 1 | no | — |
| 425 | C2×C59 | — | 8 | 1 | no | — |
| 426 | C2×C59 | #2388 | 1 | 1 | yes | characteristic |
| 427 | C2×C59 | C2×#456 | 1 | 1 | yes | characteristic |
| 428 | C2×C59 | #3018 | 1 | 1 | yes | characteristic |
| 429 | D59 | — | 8 | 1 | no | — |
| 430 | C2×#137 | — | 59 | 1 | no | — |
| 431 | C2×#137 | C2×D59 | 1 | 1 | yes | characteristic |
| 432 | #544 | — | 59 | 1 | no | — |
| 433 | #542 | — | 118 | 1 | no | — |
| 434 | #542 | — | 118 | 1 | no | — |
| 435 | #541 | — | 118 | 1 | no | — |
| 436 | #541 | — | 118 | 1 | no | — |
| 437 | #539 | — | 118 | 2 | no | — |
| 438 | #537 | — | 59 | 1 | no | — |
| 439 | #536 | — | 59 | 1 | no | — |
| 440 | #536 | — | 59 | 1 | no | — |
| 441 | #533 | — | 118 | 1 | no | — |
| 442 | #533 | — | 118 | 1 | no | — |
| 443 | C2×C4⋊Q8 | — | 59 | 1 | no | — |
| 444 | #529 | — | 118 | 1 | no | — |
| 445 | #529 | — | 118 | 2 | no | — |
| 446 | #529 | — | 118 | 1 | no | — |
| 447 | C4×#41 | — | 59 | 1 | no | — |
| 448 | C4×#41 | C2×D59 | 1 | 1 | yes | characteristic |
| 449 | C2×C4×Q8 | — | 59 | 1 | no | — |
| 450 | C2×C4×Q8 | C2×D59 | 1 | 1 | yes | characteristic |
| 451 | #441 | — | 2 | 1 | no | — |
| 452 | #441 | — | 118 | 1 | no | — |
| 453 | #440 | — | 2 | 1 | no | — |
| 454 | #440 | — | 118 | 1 | no | — |
| 455 | C4×Q16 | — | 2 | 1 | no | — |
| 456 | C4×Q16 | — | 118 | 1 | no | — |
| 457 | C4×SD16 | — | 2 | 1 | no | — |
| 458 | C4×SD16 | — | 118 | 1 | no | — |
| 459 | #428 | — | 59 | 1 | no | — |
| 460 | #428 | C2×D59 | 1 | 1 | yes | characteristic |
| 461 | C2×#104 | — | 59 | 1 | no | — |
| 462 | C2×#104 | — | 59 | 1 | no | — |
| 463 | C2×#104 | — | 59 | 1 | no | — |
| 464 | C2×#104 | — | 59 | 1 | no | — |
| 465 | #419 | — | 59 | 1 | no | — |
| 466 | #419 | C2×D59 | 1 | 1 | yes | characteristic |
| 467 | #417 | — | 59 | 1 | no | — |
| 468 | #417 | C2×D59 | 1 | 1 | yes | characteristic |
| 469 | C2×#101 | — | 59 | 1 | no | — |
| 470 | C2×#101 | — | 59 | 1 | no | — |
| 471 | C4×M16 | — | 59 | 1 | no | — |
| 472 | C4×M16 | C2×D59 | 1 | 1 | yes | characteristic |
| 473 | #391 | — | 59 | 1 | no | — |
| 474 | #391 | — | 59 | 1 | no | — |
| 475 | #389 | — | 118 | 2 | no | — |
| 476 | #384 | — | 59 | 1 | no | — |
| 477 | C4×C4⋊C4 | — | 118 | 2 | no | — |
| 478 | C43 | — | 59 | 1 | no | — |
| 479 | #343 | — | 59 | 1 | no | — |
| 480 | #343 | — | 59 | 1 | no | — |
| 481 | #339 | — | 59 | 1 | no | — |
| 482 | #339 | — | 59 | 1 | no | — |
| 483 | #339 | — | 59 | 1 | no | — |
| 484 | #339 | — | 59 | 1 | no | — |
| 485 | C59 | #23590 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 486 | C2×#41 | — | 59 | 1 | no | — |
| 487 | C2×#41 | C22×D59 | 1 | 1 | yes | characteristic |
| 488 | C22×Q8 | — | 59 | 1 | no | — |
| 489 | C22×Q8 | C22×D59 | 1 | 1 | yes | characteristic |
| 490 | #137 | — | 2 | 2 | no | — |
| 491 | #137 | — | 2 | 2 | no | — |
| 492 | #137 | — | 118 | 2 | no | — |
| 493 | #137 | — | 118 | 2 | no | — |
| 494 | C2×Q16 | — | 2 | 1 | no | — |
| 495 | C2×Q16 | — | 118 | 1 | no | — |
| 496 | C2×SD16 | — | 2 | 1 | no | — |
| 497 | C2×SD16 | — | 118 | 1 | no | — |
| 498 | C2×M16 | — | 59 | 1 | no | — |
| 499 | C2×M16 | — | 59 | 1 | no | — |
| 500 | C2×M16 | C22×D59 | 1 | 1 | yes | characteristic |
| 501 | C2×M16 | C22×D59 | 1 | 1 | yes | characteristic |
| 502 | C4⋊Q8 | — | 118 | 1 | no | — |
| 503 | C4⋊Q8 | — | 118 | 1 | no | — |
| 504 | C4⋊Q8 | — | 118 | 2 | no | — |
| 505 | C4⋊Q8 | — | 118 | 2 | no | — |
| 506 | C4⋊Q8 | — | 118 | 1 | no | — |
| 507 | C4⋊Q8 | — | 118 | 1 | no | — |
| 508 | #126 | — | 118 | 2 | no | — |
| 509 | #126 | — | 118 | 2 | no | — |
| 510 | #126 | — | 118 | 2 | no | — |
| 511 | #126 | — | 118 | 2 | no | — |
| 512 | #125 | — | 118 | 1 | no | — |
| 513 | #125 | — | 118 | 2 | no | — |
| 514 | #125 | — | 118 | 2 | no | — |
| 515 | #125 | — | 118 | 2 | no | — |
| 516 | #125 | — | 118 | 1 | no | — |
| 517 | #124 | — | 118 | 1 | no | — |
| 518 | #124 | — | 118 | 2 | no | — |
| 519 | #124 | — | 118 | 1 | no | — |
| 520 | #123 | — | 118 | 2 | no | — |
| 521 | #123 | — | 118 | 2 | no | — |
| 522 | #123 | — | 118 | 2 | no | — |
| 523 | #123 | — | 118 | 2 | no | — |
| 524 | C22⋊Q8 | — | 118 | 2 | no | — |
| 525 | C22⋊Q8 | — | 118 | 2 | no | — |
| 526 | C22⋊Q8 | — | 118 | 1 | no | — |
| 527 | C22⋊Q8 | — | 118 | 1 | no | — |
| 528 | C22⋊Q8 | — | 118 | 1 | no | — |
| 529 | C22⋊Q8 | — | 118 | 2 | no | — |
| 530 | C22⋊Q8 | — | 118 | 1 | no | — |
| 531 | C22⋊Q8 | — | 118 | 1 | no | — |
| 532 | C22⋊Q8 | — | 118 | 1 | no | — |
| 533 | #121 | — | 118 | 1 | no | — |
| 534 | #121 | — | 118 | 2 | no | — |
| 535 | #121 | — | 118 | 1 | no | — |
| 536 | C4×Q8 | — | 2 | 1 | no | — |
| 537 | C4×Q8 | — | 2 | 1 | no | — |
| 538 | C4×Q8 | — | 2 | 1 | no | — |
| 539 | C4×Q8 | — | 2 | 1 | no | — |
| 540 | C4×Q8 | — | 59 | 1 | no | — |
| 541 | C4×Q8 | — | 59 | 1 | no | — |
| 542 | C4×Q8 | — | 118 | 2 | no | — |
| 543 | C4×Q8 | — | 118 | 1 | no | — |
| 544 | C4×Q8 | — | 118 | 1 | no | — |
| 545 | C4×Q8 | — | 118 | 1 | no | — |
| 546 | C4×Q8 | — | 118 | 1 | no | — |
| 547 | C4×Q8 | C22⋊D59 | 1 | 1 | yes | characteristic |
| 548 | C4×Q8 | C22⋊D59 | 1 | 1 | yes | characteristic |
| 549 | C4×D4 | — | 2 | 1 | no | — |
| 550 | C4×D4 | — | 2 | 1 | no | — |
| 551 | C4×D4 | — | 59 | 1 | no | — |
| 552 | C4×D4 | — | 59 | 1 | no | — |
| 553 | C4×D4 | — | 118 | 2 | no | — |
| 554 | C4×D4 | — | 118 | 1 | no | — |
| 555 | C4×D4 | — | 118 | 1 | no | — |
| 556 | C4×D4 | C22⋊D59 | 1 | 1 | yes | characteristic |
| 557 | C4×D4 | C22⋊D59 | 1 | 1 | yes | characteristic |
| 558 | #117 | — | 2 | 1 | no | — |
| 559 | #117 | — | 59 | 1 | no | — |
| 560 | #117 | — | 118 | 2 | no | — |
| 561 | #117 | — | 118 | 2 | no | — |
| 562 | #117 | — | 118 | 1 | no | — |
| 563 | #117 | C22×D59 | 1 | 1 | yes | characteristic |
| 564 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 565 | C2×C4⋊C4 | — | 59 | 2 | no | — |
| 566 | C2×C4⋊C4 | — | 59 | 1 | no | — |
| 567 | C2×C4⋊C4 | — | 118 | 2 | no | — |
| 568 | C2×C4⋊C4 | — | 118 | 2 | no | — |
| 569 | C2×C4⋊C4 | C22×D59 | 1 | 1 | yes | characteristic |
| 570 | C2×C42 | — | 2 | 1 | no | — |
| 571 | C2×C42 | — | 2 | 1 | no | — |
| 572 | C2×C42 | — | 59 | 1 | no | — |
| 573 | C2×C42 | — | 59 | 2 | no | — |
| 574 | C2×C42 | — | 59 | 1 | no | — |
| 575 | C2×C42 | — | 118 | 1 | no | — |
| 576 | C2×C42 | — | 118 | 1 | no | — |
| 577 | C2×C42 | — | 118 | 1 | no | — |
| 578 | C2×C42 | C22×D59 | 1 | 1 | yes | characteristic |
| 579 | #107 | — | 2 | 1 | no | — |
| 580 | #107 | — | 118 | 1 | no | — |
| 581 | #106 | — | 2 | 1 | no | — |
| 582 | #106 | — | 118 | 1 | no | — |
| 583 | #104 | — | 118 | 2 | no | — |
| 584 | #104 | — | 118 | 2 | no | — |
| 585 | #104 | — | 118 | 2 | no | — |
| 586 | #104 | — | 118 | 2 | no | — |
| 587 | #103 | — | 2 | 1 | no | — |
| 588 | #103 | — | 2 | 1 | no | — |
| 589 | #103 | — | 2 | 1 | no | — |
| 590 | #103 | — | 118 | 1 | no | — |
| 591 | #103 | — | 118 | 1 | no | — |
| 592 | #103 | — | 118 | 1 | no | — |
| 593 | #102 | — | 2 | 1 | no | — |
| 594 | #102 | — | 118 | 1 | no | — |
| 595 | #101 | — | 118 | 2 | no | — |
| 596 | #101 | — | 118 | 2 | no | — |
| 597 | #97 | — | 2 | 1 | no | — |
| 598 | #97 | — | 118 | 1 | no | — |
| 599 | C4×C8 | — | 2 | 1 | no | — |
| 600 | C4×C8 | — | 118 | 1 | no | — |
| 601 | #95 | — | 118 | 2 | no | — |
| 602 | #95 | — | 118 | 2 | no | — |
| 603 | #41 | — | 2 | 1 | no | — |
| 604 | #41 | — | 2 | 1 | no | — |
| 605 | #41 | — | 2 | 1 | no | — |
| 606 | #41 | — | 2 | 1 | no | — |
| 607 | #41 | — | 118 | 1 | no | — |
| 608 | #41 | — | 118 | 1 | no | — |
| 609 | #41 | — | 118 | 1 | no | — |
| 610 | #41 | — | 118 | 1 | no | — |
| 611 | C2×Q8 | — | 2 | 1 | no | — |
| 612 | C2×Q8 | — | 2 | 1 | no | — |
| 613 | C2×Q8 | — | 2 | 1 | no | — |
| 614 | C2×Q8 | — | 2 | 1 | no | — |
| 615 | C2×Q8 | — | 2 | 1 | no | — |
| 616 | C2×Q8 | — | 59 | 1 | no | — |
| 617 | C2×Q8 | — | 118 | 2 | no | — |
| 618 | C2×Q8 | — | 118 | 1 | no | — |
| 619 | C2×Q8 | — | 118 | 1 | no | — |
| 620 | C2×Q8 | — | 118 | 1 | no | — |
| 621 | C2×Q8 | — | 118 | 1 | no | — |
| 622 | C2×Q8 | — | 118 | 1 | no | — |
| 623 | C2×Q8 | — | 118 | 1 | no | — |
| 624 | C2×Q8 | #11745685 | 1 | 2 | yes | — |
| 625 | C2×Q8 | C2×C22⋊D59 | 1 | 1 | yes | characteristic |
| 626 | C2×D4 | — | 2 | 1 | no | — |
| 627 | C2×D4 | — | 59 | 1 | no | — |
| 628 | C2×D4 | — | 118 | 2 | no | — |
| 629 | C2×D4 | — | 118 | 1 | no | — |
| 630 | C2×D4 | C2×C22⋊D59 | 1 | 1 | yes | characteristic |
| 631 | C22×C4 | — | 2 | 1 | no | — |
| 632 | C22×C4 | — | 2 | 1 | no | — |
| 633 | C22×C4 | — | 2 | 1 | no | — |
| 634 | C22×C4 | — | 2 | 1 | no | — |
| 635 | C22×C4 | — | 2 | 1 | no | — |
| 636 | C22×C4 | — | 59 | 2 | no | — |
| 637 | C22×C4 | — | 59 | 2 | no | — |
| 638 | C22×C4 | — | 118 | 1 | no | — |
| 639 | C22×C4 | — | 118 | 1 | no | — |
| 640 | C22×C4 | — | 118 | 1 | no | — |
| 641 | C22×C4 | — | 118 | 1 | no | — |
| 642 | C22×C4 | — | 118 | 1 | no | — |
| 643 | C22×C4 | D4×D59 | 1 | 1 | yes | characteristic |
| 644 | C22×C4 | D4×D59 | 1 | 1 | yes | characteristic |
| 645 | C22×C4 | C23×D59 | 1 | 1 | yes | characteristic |
| 646 | Q16 | — | 2 | 4 | no | — |
| 647 | Q16 | — | 118 | 4 | no | — |
| 648 | SD16 | — | 2 | 4 | no | — |
| 649 | SD16 | — | 118 | 4 | no | — |
| 650 | M16 | — | 2 | 1 | no | — |
| 651 | M16 | — | 2 | 1 | no | — |
| 652 | M16 | — | 2 | 1 | no | — |
| 653 | M16 | — | 59 | 2 | no | — |
| 654 | M16 | — | 118 | 1 | no | — |
| 655 | M16 | — | 118 | 1 | no | — |
| 656 | M16 | — | 118 | 1 | no | — |
| 657 | M16 | #11745685 | 1 | 2 | yes | — |
| 658 | C2×C8 | — | 2 | 1 | no | — |
| 659 | C2×C8 | — | 2 | 1 | no | — |
| 660 | C2×C8 | — | 118 | 1 | no | — |
| 661 | C2×C8 | — | 118 | 1 | no | — |
| 662 | C4⋊C4 | — | 2 | 1 | no | — |
| 663 | C4⋊C4 | — | 2 | 1 | no | — |
| 664 | C4⋊C4 | — | 2 | 1 | no | — |
| 665 | C4⋊C4 | — | 2 | 1 | no | — |
| 666 | C4⋊C4 | — | 4 | 1 | no | — |
| 667 | C4⋊C4 | — | 4 | 1 | no | — |
| 668 | C4⋊C4 | — | 59 | 1 | no | — |
| 669 | C4⋊C4 | — | 59 | 1 | no | — |
| 670 | C4⋊C4 | — | 118 | 8 | no | — |
| 671 | C4⋊C4 | — | 118 | 2 | no | — |
| 672 | C4⋊C4 | — | 118 | 2 | no | — |
| 673 | C4⋊C4 | — | 118 | 2 | no | — |
| 674 | C4⋊C4 | — | 118 | 2 | no | — |
| 675 | C4⋊C4 | — | 118 | 2 | no | — |
| 676 | C4⋊C4 | — | 118 | 2 | no | — |
| 677 | C4⋊C4 | — | 118 | 2 | no | — |
| 678 | C4⋊C4 | — | 118 | 2 | no | — |
| 679 | C4⋊C4 | — | 118 | 2 | no | — |
| 680 | C4⋊C4 | — | 118 | 2 | no | — |
| 681 | C4⋊C4 | — | 118 | 1 | no | — |
| 682 | C4⋊C4 | — | 118 | 1 | no | — |
| 683 | C4⋊C4 | — | 118 | 1 | no | — |
| 684 | C4⋊C4 | — | 118 | 1 | no | — |
| 685 | C4⋊C4 | — | 236 | 4 | no | — |
| 686 | C4⋊C4 | C2×C22⋊D59 | 1 | 1 | yes | characteristic |
| 687 | C4⋊C4 | C2×C22⋊D59 | 1 | 1 | yes | characteristic |
| 688 | C22⋊C4 | — | 2 | 1 | no | — |
| 689 | C22⋊C4 | — | 2 | 1 | no | — |
| 690 | C22⋊C4 | — | 2 | 1 | no | — |
| 691 | C22⋊C4 | — | 118 | 2 | no | — |
| 692 | C22⋊C4 | — | 118 | 2 | no | — |
| 693 | C22⋊C4 | — | 118 | 2 | no | — |
| 694 | C22⋊C4 | — | 118 | 2 | no | — |
| 695 | C22⋊C4 | — | 118 | 2 | no | — |
| 696 | C22⋊C4 | — | 118 | 2 | no | — |
| 697 | C22⋊C4 | — | 118 | 1 | no | — |
| 698 | C22⋊C4 | — | 118 | 1 | no | — |
| 699 | C22⋊C4 | — | 118 | 1 | no | — |
| 700 | C42 | — | 2 | 1 | no | — |
| 701 | C42 | — | 2 | 1 | no | — |
| 702 | C42 | — | 2 | 1 | no | — |
| 703 | C42 | — | 4 | 1 | no | — |
| 704 | C42 | — | 4 | 1 | no | — |
| 705 | C42 | — | 59 | 2 | no | — |
| 706 | C42 | — | 118 | 4 | no | — |
| 707 | C42 | — | 118 | 2 | no | — |
| 708 | C42 | — | 118 | 1 | no | — |
| 709 | C42 | — | 118 | 2 | no | — |
| 710 | C42 | — | 118 | 1 | no | — |
| 711 | C42 | — | 118 | 1 | no | — |
| 712 | C42 | — | 118 | 1 | no | — |
| 713 | C42 | — | 118 | 1 | no | — |
| 714 | C42 | — | 118 | 1 | no | — |
| 715 | C42 | — | 236 | 2 | no | — |
| 716 | C42 | D4×D59 | 1 | 1 | yes | characteristic |
| 717 | C42 | D4×D59 | 1 | 1 | yes | characteristic |
| 718 | C42 | C2×C22⋊D59 | 1 | 1 | yes | characteristic |
| 719 | C42 | C2×C22⋊D59 | 1 | 1 | yes | characteristic |
| 720 | C23 | — | 2 | 1 | no | — |
| 721 | C23 | — | 118 | 1 | no | — |
| 722 | C23 | C2×D4×D59 | 1 | 1 | yes | characteristic |
| 723 | Q8 | — | 2 | 2 | no | — |
| 724 | Q8 | — | 2 | 2 | no | — |
| 725 | Q8 | — | 2 | 1 | no | — |
| 726 | Q8 | — | 2 | 1 | no | — |
| 727 | Q8 | — | 4 | 1 | no | — |
| 728 | Q8 | — | 4 | 1 | no | — |
| 729 | Q8 | — | 118 | 1 | no | — |
| 730 | Q8 | — | 118 | 1 | no | — |
| 731 | Q8 | — | 472 | 2 | no | — |
| 732 | Q8 | — | 236 | 1 | no | — |
| 733 | Q8 | — | 236 | 1 | no | — |
| 734 | Q8 | — | 236 | 1 | no | — |
| 735 | Q8 | — | 236 | 1 | no | — |
| 736 | D4 | — | 2 | 1 | no | — |
| 737 | D4 | — | 2 | 1 | no | — |
| 738 | D4 | — | 4 | 1 | no | — |
| 739 | D4 | — | 4 | 1 | no | — |
| 740 | D4 | — | 118 | 1 | no | — |
| 741 | D4 | — | 118 | 1 | no | — |
| 742 | D4 | — | 472 | 2 | no | — |
| 743 | D4 | — | 236 | 1 | no | — |
| 744 | D4 | — | 236 | 1 | no | — |
| 745 | C2×C4 | — | 2 | 2 | no | — |
| 746 | C2×C4 | — | 2 | 2 | no | — |
| 747 | C2×C4 | — | 2 | 1 | no | — |
| 748 | C2×C4 | — | 2 | 1 | no | — |
| 749 | C2×C4 | — | 2 | 1 | no | — |
| 750 | C2×C4 | — | 4 | 1 | no | — |
| 751 | C2×C4 | — | 4 | 1 | no | — |
| 752 | C2×C4 | — | 4 | 1 | no | — |
| 753 | C2×C4 | — | 4 | 1 | no | — |
| 754 | C2×C4 | — | 4 | 1 | no | — |
| 755 | C2×C4 | — | 4 | 2 | no | — |
| 756 | C2×C4 | — | 4 | 2 | no | — |
| 757 | C2×C4 | — | 4 | 1 | no | — |
| 758 | C2×C4 | — | 8 | 1 | no | — |
| 759 | C2×C4 | — | 118 | 2 | no | — |
| 760 | C2×C4 | — | 118 | 2 | no | — |
| 761 | C2×C4 | — | 118 | 2 | no | — |
| 762 | C2×C4 | — | 118 | 2 | no | — |
| 763 | C2×C4 | — | 118 | 2 | no | — |
| 764 | C2×C4 | — | 118 | 2 | no | — |
| 765 | C2×C4 | — | 118 | 1 | no | — |
| 766 | C2×C4 | — | 118 | 1 | no | — |
| 767 | C2×C4 | — | 118 | 2 | no | — |
| 768 | C2×C4 | — | 118 | 2 | no | — |
| 769 | C2×C4 | — | 118 | 1 | no | — |
| 770 | C2×C4 | — | 472 | 1 | no | — |
| 771 | C2×C4 | — | 236 | 1 | no | — |
| 772 | C2×C4 | — | 236 | 1 | no | — |
| 773 | C2×C4 | — | 236 | 1 | no | — |
| 774 | C2×C4 | — | 236 | 1 | no | — |
| 775 | C2×C4 | — | 236 | 2 | no | — |
| 776 | C2×C4 | — | 236 | 2 | no | — |
| 777 | C2×C4 | #14273695 | 1 | 1 | yes | characteristic |
| 778 | C2×C4 | #14273695 | 1 | 1 | yes | characteristic |
| 779 | C2×C4 | #14273695 | 1 | 1 | yes | characteristic |
| 780 | C2×C4 | #14273695 | 1 | 1 | yes | characteristic |
| 781 | C2×C4 | C2×D4×D59 | 1 | 1 | yes | characteristic |
| 782 | C2×C4 | C22×C22⋊D59 | 1 | 1 | yes | characteristic |
| 783 | C2×C4 | #41×D59 | 1 | 1 | yes | characteristic |
| 784 | C2×C4 | #41×D59 | 1 | 1 | yes | characteristic |
| 785 | C2×C4 | C2×#11745685 | 1 | 1 | yes | characteristic |
| 786 | C2×C4 | C2×#11745685 | 1 | 1 | yes | characteristic |
| 787 | C8 | — | 2 | 2 | no | — |
| 788 | C8 | — | 4 | 1 | no | — |
| 789 | C8 | — | 118 | 2 | no | — |
| 790 | C8 | — | 236 | 1 | no | — |
| 791 | C22 | — | 2 | 1 | no | — |
| 792 | C22 | — | 2 | 1 | no | — |
| 793 | C22 | — | 4 | 1 | no | — |
| 794 | C22 | — | 4 | 1 | no | — |
| 795 | C22 | — | 4 | 1 | no | — |
| 796 | C22 | — | 236 | 1 | no | — |
| 797 | C22 | — | 236 | 1 | no | — |
| 798 | C22 | — | 236 | 1 | no | — |
| 799 | C22 | C2×#14273695 | 1 | 1 | yes | characteristic |
| 800 | C22 | #16837911 | 1 | 1 | yes | characteristic |
| 801 | C22 | #16837949 | 1 | 1 | yes | characteristic |
| 802 | C4 | — | 2 | 1 | no | — |
| 803 | C4 | — | 2 | 1 | no | — |
| 804 | C4 | — | 2 | 1 | no | — |
| 805 | C4 | — | 4 | 1 | no | — |
| 806 | C4 | — | 4 | 1 | no | — |
| 807 | C4 | — | 4 | 1 | no | — |
| 808 | C4 | — | 4 | 2 | no | — |
| 809 | C4 | — | 8 | 1 | no | — |
| 810 | C4 | — | 118 | 4 | no | — |
| 811 | C4 | — | 236 | 2 | no | — |
| 812 | C4 | — | 236 | 1 | no | — |
| 813 | C4 | — | 236 | 1 | no | — |
| 814 | C4 | — | 236 | 2 | no | — |
| 815 | C4 | — | 236 | 2 | no | — |
| 816 | C4 | — | 236 | 1 | no | — |
| 817 | C4 | #16837583 | 1 | 2 | yes | — |
| 818 | C4 | #16837911 | 1 | 1 | yes | characteristic |
| 819 | C4 | #16837913 | 1 | 1 | yes | characteristic |
| 820 | C4 | #16837948 | 1 | 1 | yes | characteristic |
| 821 | C4 | #16837949 | 1 | 1 | yes | characteristic |
| 822 | C2 | — | 2 | 1 | no | — |
| 823 | C2 | — | 2 | 1 | no | — |
| 824 | C2 | — | 8 | 1 | no | — |
| 825 | C2 | — | 472 | 1 | no | — |
| 826 | C2 | #21427311 | 1 | 1 | yes | characteristic |
| 827 | C2 | C2×#16837583 | 1 | 1 | yes | characteristic |
| 828 | C2 | #21433442 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta