| 1 | C59×#3169 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C59×#3168 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C59×#2228 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | C59×#2227 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C59×#2226 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C59×#2217 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | C59×#2215 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | C59×#2210 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | C59×#2207 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C59×#2206 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C2×C59×C4⋊C16 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C59×#532 | — | 2 | 1 | no | — |
| 13 | C59×#529 | — | 2 | 1 | no | — |
| 14 | C2×SD32×C59 | C22 | 1 | 2 | yes | — |
| 15 | C2×D16×C59 | C22 | 1 | 2 | yes | — |
| 16 | C22×C16×C59 | C22 | 1 | 2 | yes | — |
| 17 | C59×#500 | C22 | 1 | 1 | yes | characteristic |
| 18 | C59×#499 | C22 | 1 | 1 | yes | characteristic |
| 19 | C59×#495 | C22 | 1 | 1 | yes | characteristic |
| 20 | C59×#493 | C22 | 1 | 1 | yes | characteristic |
| 21 | C59×#488 | — | 2 | 1 | no | — |
| 22 | C59×#486 | — | 2 | 1 | no | — |
| 23 | C59×#467 | C22 | 1 | 1 | yes | characteristic |
| 24 | C59×#466 | — | 2 | 1 | no | — |
| 25 | C59×#466 | C22 | 1 | 1 | yes | characteristic |
| 26 | C59×#466 | C22 | 1 | 2 | yes | — |
| 27 | C59×#465 | — | 2 | 1 | no | — |
| 28 | C4×Q16×C59 | C22 | 1 | 1 | yes | characteristic |
| 29 | C4×SD16×C59 | — | 2 | 1 | no | — |
| 30 | C4×D8×C59 | — | 2 | 1 | no | — |
| 31 | C4×D8×C59 | C22 | 1 | 1 | yes | characteristic |
| 32 | C4×D8×C59 | C22 | 1 | 2 | yes | — |
| 33 | C2×C4×C8×C59 | C22 | 1 | 1 | yes | characteristic |
| 34 | C59×#367 | C22 | 1 | 2 | yes | — |
| 35 | C59×#366 | C22 | 1 | 2 | yes | — |
| 36 | C59×C4⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 37 | C59×C4⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 38 | C59×C4⋊C16 | C22 | 1 | 2 | yes | — |
| 39 | C59×#358 | C22 | 1 | 2 | yes | — |
| 40 | C59×#357 | C22 | 1 | 2 | yes | — |
| 41 | C59×#357 | C22 | 1 | 2 | yes | — |
| 42 | C59×#357 | C22 | 1 | 2 | yes | — |
| 43 | C2×#41×C59 | — | 4 | 1 | no | — |
| 44 | C2×Q16×C59 | C23 | 1 | 1 | yes | characteristic |
| 45 | C2×SD16×C59 | — | 2 | 1 | no | — |
| 46 | C2×D8×C59 | — | 2 | 1 | no | — |
| 47 | C2×D8×C59 | C23 | 1 | 2 | yes | — |
| 48 | C2×D8×C59 | C23 | 1 | 1 | yes | characteristic |
| 49 | C22×C8×C59 | D4 | 1 | 1 | yes | characteristic |
| 50 | C22×C8×C59 | C23 | 1 | 1 | yes | characteristic |
| 51 | C4⋊Q8×C59 | — | 2 | 1 | no | — |
| 52 | #127×C59 | — | 2 | 1 | no | — |
| 53 | #126×C59 | — | 4 | 1 | no | — |
| 54 | #125×C59 | — | 2 | 1 | no | — |
| 55 | #124×C59 | — | 2 | 1 | no | — |
| 56 | #124×C59 | — | 4 | 1 | no | — |
| 57 | #123×C59 | — | 4 | 1 | no | — |
| 58 | C22⋊Q8×C59 | — | 2 | 1 | no | — |
| 59 | #121×C59 | — | 2 | 1 | no | — |
| 60 | #121×C59 | — | 2 | 2 | no | — |
| 61 | #121×C59 | — | 4 | 1 | no | — |
| 62 | C4×Q8×C59 | — | 2 | 1 | no | — |
| 63 | C4×D4×C59 | — | 2 | 2 | no | — |
| 64 | C4×D4×C59 | — | 2 | 1 | no | — |
| 65 | C4×D4×C59 | — | 4 | 1 | no | — |
| 66 | C4×D4×C59 | — | 4 | 1 | no | — |
| 67 | #117×C59 | — | 4 | 1 | no | — |
| 68 | C2×C42×C59 | D4 | 1 | 1 | yes | characteristic |
| 69 | SD32×C59 | — | 4 | 2 | no | — |
| 70 | D16×C59 | — | 4 | 2 | no | — |
| 71 | C2×C16×C59 | — | 4 | 2 | no | — |
| 72 | C2×C16×C59 | C23 | 1 | 2 | yes | — |
| 73 | C2×C16×C59 | C23 | 1 | 2 | yes | — |
| 74 | #107×C59 | — | 2 | 1 | no | — |
| 75 | #107×C59 | C23 | 1 | 1 | yes | characteristic |
| 76 | #107×C59 | C23 | 1 | 1 | yes | characteristic |
| 77 | #107×C59 | C23 | 1 | 2 | yes | — |
| 78 | #106×C59 | — | 2 | 1 | no | — |
| 79 | #103×C59 | — | 2 | 1 | no | — |
| 80 | #103×C59 | — | 2 | 1 | no | — |
| 81 | #102×C59 | — | 2 | 2 | no | — |
| 82 | #102×C59 | — | 2 | 1 | no | — |
| 83 | #102×C59 | — | 2 | 2 | no | — |
| 84 | #102×C59 | — | 2 | 1 | no | — |
| 85 | C4×C8×C59 | D4 | 1 | 1 | yes | characteristic |
| 86 | C4×C8×C59 | D4 | 1 | 1 | yes | characteristic |
| 87 | C4×C8×C59 | C23 | 1 | 1 | yes | characteristic |
| 88 | C4×C8×C59 | C23 | 1 | 1 | yes | characteristic |
| 89 | #41×C59 | — | 8 | 4 | no | — |
| 90 | C2×Q8×C59 | — | 2 | 1 | no | — |
| 91 | C2×Q8×C59 | — | 4 | 1 | no | — |
| 92 | C2×D4×C59 | — | 2 | 1 | no | — |
| 93 | C2×D4×C59 | — | 2 | 2 | no | — |
| 94 | C2×D4×C59 | — | 4 | 1 | no | — |
| 95 | C2×D4×C59 | — | 4 | 2 | no | — |
| 96 | C2×D4×C59 | — | 4 | 1 | no | — |
| 97 | C2×D4×C59 | — | 4 | 1 | no | — |
| 98 | C22×C4×C59 | — | 4 | 1 | no | — |
| 99 | C22×C4×C59 | — | 4 | 2 | no | — |
| 100 | C22×C4×C59 | D8 | 1 | 1 | yes | characteristic |
| 101 | C22×C4×C59 | D8 | 1 | 1 | yes | characteristic |
| 102 | C22×C4×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 103 | Q16×C59 | — | 2 | 1 | no | — |
| 104 | Q16×C59 | — | 2 | 1 | no | — |
| 105 | SD16×C59 | — | 4 | 2 | no | — |
| 106 | D8×C59 | — | 2 | 1 | no | — |
| 107 | D8×C59 | — | 2 | 2 | no | — |
| 108 | D8×C59 | — | 2 | 2 | no | — |
| 109 | D8×C59 | — | 2 | 1 | no | — |
| 110 | D8×C59 | — | 4 | 2 | no | — |
| 111 | C2×C8×C59 | — | 2 | 1 | no | — |
| 112 | C2×C8×C59 | — | 2 | 1 | no | — |
| 113 | C2×C8×C59 | — | 4 | 1 | no | — |
| 114 | C2×C8×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 115 | C2×C8×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 116 | C2×C8×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 117 | C2×C8×C59 | C24 | 1 | 1 | yes | characteristic |
| 118 | C4⋊C4×C59 | — | 2 | 2 | no | — |
| 119 | C4⋊C4×C59 | — | 2 | 1 | no | — |
| 120 | C4⋊C4×C59 | — | 2 | 1 | no | — |
| 121 | C4⋊C4×C59 | — | 4 | 1 | no | — |
| 122 | C4⋊C4×C59 | — | 4 | 1 | no | — |
| 123 | C4⋊C4×C59 | — | 4 | 1 | no | — |
| 124 | C4⋊C4×C59 | — | 4 | 1 | no | — |
| 125 | C4⋊C4×C59 | — | 4 | 1 | no | — |
| 126 | C22⋊C4×C59 | — | 4 | 1 | no | — |
| 127 | C22⋊C4×C59 | — | 4 | 1 | no | — |
| 128 | C22⋊C4×C59 | — | 4 | 1 | no | — |
| 129 | C22⋊C4×C59 | — | 4 | 2 | no | — |
| 130 | C22⋊C4×C59 | — | 4 | 1 | no | — |
| 131 | C22⋊C4×C59 | — | 4 | 2 | no | — |
| 132 | C22⋊C4×C59 | — | 4 | 1 | no | — |
| 133 | C42×C59 | — | 4 | 1 | no | — |
| 134 | C42×C59 | D8 | 1 | 1 | yes | characteristic |
| 135 | C42×C59 | D8 | 1 | 1 | yes | characteristic |
| 136 | C42×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 137 | C42×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 138 | C16×C59 | — | 2 | 2 | no | — |
| 139 | C16×C59 | — | 2 | 2 | no | — |
| 140 | C23×C59 | — | 4 | 1 | no | — |
| 141 | C23×C59 | — | 4 | 2 | no | — |
| 142 | C23×C59 | C2×D8 | 1 | 1 | yes | characteristic |
| 143 | Q8×C59 | — | 4 | 1 | no | — |
| 144 | Q8×C59 | — | 4 | 1 | no | — |
| 145 | Q8×C59 | — | 8 | 2 | no | — |
| 146 | D4×C59 | — | 4 | 1 | no | — |
| 147 | D4×C59 | — | 4 | 2 | no | — |
| 148 | D4×C59 | — | 4 | 2 | no | — |
| 149 | D4×C59 | — | 4 | 1 | no | — |
| 150 | D4×C59 | — | 8 | 2 | no | — |
| 151 | D4×C59 | — | 8 | 2 | no | — |
| 152 | D4×C59 | — | 8 | 4 | no | — |
| 153 | D4×C59 | — | 8 | 2 | no | — |
| 154 | C2×C4×C59 | — | 2 | 2 | no | — |
| 155 | C2×C4×C59 | — | 2 | 1 | no | — |
| 156 | C2×C4×C59 | — | 2 | 1 | no | — |
| 157 | C2×C4×C59 | — | 2 | 2 | no | — |
| 158 | C2×C4×C59 | — | 4 | 1 | no | — |
| 159 | C2×C4×C59 | — | 4 | 1 | no | — |
| 160 | C2×C4×C59 | — | 4 | 1 | no | — |
| 161 | C2×C4×C59 | — | 4 | 2 | no | — |
| 162 | C2×C4×C59 | — | 8 | 4 | no | — |
| 163 | C2×C4×C59 | — | 8 | 2 | no | — |
| 164 | C2×C4×C59 | C2×D8 | 1 | 1 | yes | characteristic |
| 165 | C2×C4×C59 | C2×D8 | 1 | 1 | yes | characteristic |
| 166 | C2×C4×C59 | C2×D8 | 1 | 1 | yes | characteristic |
| 167 | C2×C4×C59 | C2×D8 | 1 | 1 | yes | characteristic |
| 168 | C2×C4×C59 | C2×D8 | 1 | 1 | yes | characteristic |
| 169 | C2×C4×C59 | C22×D4 | 1 | 1 | yes | characteristic |
| 170 | C8×C59 | — | 2 | 1 | no | — |
| 171 | C8×C59 | — | 2 | 1 | no | — |
| 172 | C8×C59 | — | 2 | 1 | no | — |
| 173 | C8×C59 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 174 | C8×C59 | 2−1+4 | 1 | 1 | yes | characteristic |
| 175 | #33813 | C59 | 1 | 1 | yes | maximal, characteristic, direct product factor, Sylow |
| 176 | C22×C59 | — | 2 | 1 | no | — |
| 177 | C22×C59 | — | 2 | 1 | no | — |
| 178 | C22×C59 | — | 8 | 1 | no | — |
| 179 | C22×C59 | — | 8 | 2 | no | — |
| 180 | C22×C59 | — | 8 | 2 | no | — |
| 181 | C22×C59 | — | 8 | 1 | no | — |
| 182 | C22×C59 | — | 8 | 2 | no | — |
| 183 | C22×C59 | — | 8 | 1 | no | — |
| 184 | C22×C59 | #509 | 1 | 2 | yes | — |
| 185 | C22×C59 | C22×D8 | 1 | 1 | yes | characteristic |
| 186 | C4×C59 | — | 2 | 1 | no | — |
| 187 | C4×C59 | — | 2 | 1 | no | — |
| 188 | C4×C59 | — | 2 | 1 | no | — |
| 189 | C4×C59 | — | 2 | 1 | no | — |
| 190 | C4×C59 | — | 8 | 1 | no | — |
| 191 | C4×C59 | — | 8 | 2 | no | — |
| 192 | C4×C59 | — | 8 | 1 | no | — |
| 193 | C4×C59 | — | 8 | 1 | no | — |
| 194 | C4×C59 | #508 | 1 | 2 | yes | — |
| 195 | C4×C59 | #537 | 1 | 1 | yes | characteristic |
| 196 | C4×C59 | #575 | 1 | 1 | yes | characteristic |
| 197 | #3169 | C2×C59 | 1 | 1 | yes | characteristic, complemented |
| 198 | #3168 | C2×C59 | 1 | 1 | yes | characteristic, complemented |
| 199 | #2228 | C2×C59 | 1 | 2 | yes | complemented |
| 200 | #2227 | C2×C59 | 1 | 1 | yes | characteristic, complemented |
| 201 | #2226 | C2×C59 | 1 | 1 | yes | characteristic, complemented |
| 202 | #2217 | C2×C59 | 1 | 2 | yes | complemented |
| 203 | #2215 | C2×C59 | 1 | 2 | yes | complemented |
| 204 | #2210 | C2×C59 | 1 | 2 | yes | complemented |
| 205 | #2207 | C2×C59 | 1 | 1 | yes | characteristic, complemented |
| 206 | #2206 | C2×C59 | 1 | 1 | yes | characteristic, complemented |
| 207 | C2×C4⋊C16 | C2×C59 | 1 | 1 | yes | characteristic, complemented |
| 208 | C2×C59 | — | 2 | 2 | no | — |
| 209 | C2×C59 | — | 16 | 1 | no | — |
| 210 | C2×C59 | — | 16 | 2 | no | — |
| 211 | C2×C59 | #3245 | 1 | 1 | yes | characteristic |
| 212 | C2×C59 | C2×#508 | 1 | 1 | yes | characteristic |
| 213 | C2×C59 | C2×#509 | 1 | 1 | yes | characteristic |
| 214 | #532 | — | 2 | 1 | no | — |
| 215 | #529 | — | 2 | 1 | no | — |
| 216 | C2×SD32 | C22×C59 | 1 | 2 | yes | — |
| 217 | C2×D16 | C22×C59 | 1 | 2 | yes | — |
| 218 | C22×C16 | C22×C59 | 1 | 2 | yes | — |
| 219 | #500 | C22×C59 | 1 | 1 | yes | characteristic |
| 220 | #499 | C22×C59 | 1 | 1 | yes | characteristic |
| 221 | #495 | C22×C59 | 1 | 1 | yes | characteristic |
| 222 | #493 | C22×C59 | 1 | 1 | yes | characteristic |
| 223 | #488 | — | 2 | 1 | no | — |
| 224 | #486 | — | 2 | 1 | no | — |
| 225 | #467 | C22×C59 | 1 | 1 | yes | characteristic |
| 226 | #466 | — | 2 | 1 | no | — |
| 227 | #466 | C22×C59 | 1 | 1 | yes | characteristic |
| 228 | #466 | C22×C59 | 1 | 2 | yes | — |
| 229 | #465 | — | 2 | 1 | no | — |
| 230 | C4×Q16 | C22×C59 | 1 | 1 | yes | characteristic |
| 231 | C4×SD16 | — | 2 | 1 | no | — |
| 232 | C4×D8 | — | 2 | 1 | no | — |
| 233 | C4×D8 | C22×C59 | 1 | 1 | yes | characteristic |
| 234 | C4×D8 | C22×C59 | 1 | 2 | yes | — |
| 235 | C2×C4×C8 | C22×C59 | 1 | 1 | yes | characteristic |
| 236 | #367 | C22×C59 | 1 | 2 | yes | — |
| 237 | #366 | C22×C59 | 1 | 2 | yes | — |
| 238 | C4⋊C16 | C22×C59 | 1 | 1 | yes | characteristic |
| 239 | C4⋊C16 | C22×C59 | 1 | 1 | yes | characteristic |
| 240 | C4⋊C16 | C22×C59 | 1 | 2 | yes | — |
| 241 | #358 | C22×C59 | 1 | 2 | yes | — |
| 242 | #357 | C22×C59 | 1 | 2 | yes | — |
| 243 | #357 | C22×C59 | 1 | 2 | yes | — |
| 244 | #357 | C22×C59 | 1 | 2 | yes | — |
| 245 | C59 | #33813 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 246 | C2×#41 | — | 4 | 1 | no | — |
| 247 | C2×Q16 | C23×C59 | 1 | 1 | yes | characteristic |
| 248 | C2×SD16 | — | 2 | 1 | no | — |
| 249 | C2×D8 | — | 2 | 1 | no | — |
| 250 | C2×D8 | C23×C59 | 1 | 2 | yes | — |
| 251 | C2×D8 | C23×C59 | 1 | 1 | yes | characteristic |
| 252 | C22×C8 | D4×C59 | 1 | 1 | yes | characteristic |
| 253 | C22×C8 | C23×C59 | 1 | 1 | yes | characteristic |
| 254 | C4⋊Q8 | — | 2 | 1 | no | — |
| 255 | #127 | — | 2 | 1 | no | — |
| 256 | #126 | — | 4 | 1 | no | — |
| 257 | #125 | — | 2 | 1 | no | — |
| 258 | #124 | — | 2 | 1 | no | — |
| 259 | #124 | — | 4 | 1 | no | — |
| 260 | #123 | — | 4 | 1 | no | — |
| 261 | C22⋊Q8 | — | 2 | 1 | no | — |
| 262 | #121 | — | 2 | 1 | no | — |
| 263 | #121 | — | 2 | 2 | no | — |
| 264 | #121 | — | 4 | 1 | no | — |
| 265 | C4×Q8 | — | 2 | 1 | no | — |
| 266 | C4×D4 | — | 2 | 1 | no | — |
| 267 | C4×D4 | — | 2 | 2 | no | — |
| 268 | C4×D4 | — | 4 | 1 | no | — |
| 269 | C4×D4 | — | 4 | 1 | no | — |
| 270 | #117 | — | 4 | 1 | no | — |
| 271 | C2×C42 | D4×C59 | 1 | 1 | yes | characteristic |
| 272 | SD32 | — | 4 | 2 | no | — |
| 273 | D16 | — | 4 | 2 | no | — |
| 274 | C2×C16 | — | 4 | 2 | no | — |
| 275 | C2×C16 | C23×C59 | 1 | 2 | yes | — |
| 276 | C2×C16 | C23×C59 | 1 | 2 | yes | — |
| 277 | #107 | — | 2 | 1 | no | — |
| 278 | #107 | C23×C59 | 1 | 1 | yes | characteristic |
| 279 | #107 | C23×C59 | 1 | 1 | yes | characteristic |
| 280 | #107 | C23×C59 | 1 | 2 | yes | — |
| 281 | #106 | — | 2 | 1 | no | — |
| 282 | #103 | — | 2 | 1 | no | — |
| 283 | #103 | — | 2 | 1 | no | — |
| 284 | #102 | — | 2 | 2 | no | — |
| 285 | #102 | — | 2 | 1 | no | — |
| 286 | #102 | — | 2 | 2 | no | — |
| 287 | #102 | — | 2 | 1 | no | — |
| 288 | C4×C8 | D4×C59 | 1 | 1 | yes | characteristic |
| 289 | C4×C8 | D4×C59 | 1 | 1 | yes | characteristic |
| 290 | C4×C8 | C23×C59 | 1 | 1 | yes | characteristic |
| 291 | C4×C8 | C23×C59 | 1 | 1 | yes | characteristic |
| 292 | #41 | — | 8 | 4 | no | — |
| 293 | C2×Q8 | — | 2 | 1 | no | — |
| 294 | C2×Q8 | — | 4 | 1 | no | — |
| 295 | C2×D4 | — | 2 | 1 | no | — |
| 296 | C2×D4 | — | 2 | 2 | no | — |
| 297 | C2×D4 | — | 4 | 1 | no | — |
| 298 | C2×D4 | — | 4 | 2 | no | — |
| 299 | C2×D4 | — | 4 | 1 | no | — |
| 300 | C2×D4 | — | 4 | 1 | no | — |
| 301 | C22×C4 | — | 4 | 1 | no | — |
| 302 | C22×C4 | — | 4 | 2 | no | — |
| 303 | C22×C4 | D8×C59 | 1 | 1 | yes | characteristic |
| 304 | C22×C4 | D8×C59 | 1 | 1 | yes | characteristic |
| 305 | C22×C4 | C2×D4×C59 | 1 | 1 | yes | characteristic |
| 306 | Q16 | — | 2 | 1 | no | — |
| 307 | Q16 | — | 2 | 1 | no | — |
| 308 | SD16 | — | 4 | 2 | no | — |
| 309 | D8 | — | 2 | 1 | no | — |
| 310 | D8 | — | 2 | 2 | no | — |
| 311 | D8 | — | 2 | 2 | no | — |
| 312 | D8 | — | 2 | 1 | no | — |
| 313 | D8 | — | 4 | 2 | no | — |
| 314 | C2×C8 | — | 2 | 1 | no | — |
| 315 | C2×C8 | — | 2 | 1 | no | — |
| 316 | C2×C8 | — | 4 | 1 | no | — |
| 317 | C2×C8 | C2×D4×C59 | 1 | 1 | yes | characteristic |
| 318 | C2×C8 | C2×D4×C59 | 1 | 1 | yes | characteristic |
| 319 | C2×C8 | C2×D4×C59 | 1 | 1 | yes | characteristic |
| 320 | C2×C8 | C24×C59 | 1 | 1 | yes | characteristic |
| 321 | C4⋊C4 | — | 2 | 2 | no | — |
| 322 | C4⋊C4 | — | 2 | 1 | no | — |
| 323 | C4⋊C4 | — | 2 | 1 | no | — |
| 324 | C4⋊C4 | — | 4 | 1 | no | — |
| 325 | C4⋊C4 | — | 4 | 1 | no | — |
| 326 | C4⋊C4 | — | 4 | 1 | no | — |
| 327 | C4⋊C4 | — | 4 | 1 | no | — |
| 328 | C4⋊C4 | — | 4 | 1 | no | — |
| 329 | C22⋊C4 | — | 4 | 1 | no | — |
| 330 | C22⋊C4 | — | 4 | 1 | no | — |
| 331 | C22⋊C4 | — | 4 | 1 | no | — |
| 332 | C22⋊C4 | — | 4 | 2 | no | — |
| 333 | C22⋊C4 | — | 4 | 1 | no | — |
| 334 | C22⋊C4 | — | 4 | 2 | no | — |
| 335 | C22⋊C4 | — | 4 | 1 | no | — |
| 336 | C42 | — | 4 | 1 | no | — |
| 337 | C42 | D8×C59 | 1 | 1 | yes | characteristic |
| 338 | C42 | D8×C59 | 1 | 1 | yes | characteristic |
| 339 | C42 | C2×D4×C59 | 1 | 1 | yes | characteristic |
| 340 | C42 | C2×D4×C59 | 1 | 1 | yes | characteristic |
| 341 | C16 | — | 2 | 2 | no | — |
| 342 | C16 | — | 2 | 2 | no | — |
| 343 | C23 | — | 4 | 1 | no | — |
| 344 | C23 | — | 4 | 2 | no | — |
| 345 | C23 | C2×D8×C59 | 1 | 1 | yes | characteristic |
| 346 | Q8 | — | 4 | 1 | no | — |
| 347 | Q8 | — | 4 | 1 | no | — |
| 348 | Q8 | — | 8 | 2 | no | — |
| 349 | D4 | — | 4 | 1 | no | — |
| 350 | D4 | — | 4 | 2 | no | — |
| 351 | D4 | — | 4 | 2 | no | — |
| 352 | D4 | — | 4 | 1 | no | — |
| 353 | D4 | — | 8 | 2 | no | — |
| 354 | D4 | — | 8 | 2 | no | — |
| 355 | D4 | — | 8 | 4 | no | — |
| 356 | D4 | — | 8 | 2 | no | — |
| 357 | C2×C4 | — | 2 | 2 | no | — |
| 358 | C2×C4 | — | 2 | 2 | no | — |
| 359 | C2×C4 | — | 2 | 1 | no | — |
| 360 | C2×C4 | — | 2 | 1 | no | — |
| 361 | C2×C4 | — | 4 | 1 | no | — |
| 362 | C2×C4 | — | 4 | 1 | no | — |
| 363 | C2×C4 | — | 4 | 1 | no | — |
| 364 | C2×C4 | — | 4 | 2 | no | — |
| 365 | C2×C4 | — | 8 | 4 | no | — |
| 366 | C2×C4 | — | 8 | 2 | no | — |
| 367 | C2×C4 | C2×D8×C59 | 1 | 1 | yes | characteristic |
| 368 | C2×C4 | C2×D8×C59 | 1 | 1 | yes | characteristic |
| 369 | C2×C4 | C2×D8×C59 | 1 | 1 | yes | characteristic |
| 370 | C2×C4 | C2×D8×C59 | 1 | 1 | yes | characteristic |
| 371 | C2×C4 | C2×D8×C59 | 1 | 1 | yes | characteristic |
| 372 | C2×C4 | C22×D4×C59 | 1 | 1 | yes | characteristic |
| 373 | C8 | — | 2 | 1 | no | — |
| 374 | C8 | — | 2 | 1 | no | — |
| 375 | C8 | — | 2 | 1 | no | — |
| 376 | C8 | H(5,𝔽2)×C59 | 1 | 1 | yes | characteristic |
| 377 | C8 | 2−1+4×C59 | 1 | 1 | yes | characteristic |
| 378 | C22 | — | 2 | 1 | no | — |
| 379 | C22 | — | 2 | 1 | no | — |
| 380 | C22 | — | 8 | 1 | no | — |
| 381 | C22 | — | 8 | 2 | no | — |
| 382 | C22 | — | 8 | 2 | no | — |
| 383 | C22 | — | 8 | 1 | no | — |
| 384 | C22 | — | 8 | 2 | no | — |
| 385 | C22 | — | 8 | 1 | no | — |
| 386 | C22 | C59×#509 | 1 | 2 | yes | — |
| 387 | C22 | C22×D8×C59 | 1 | 1 | yes | characteristic |
| 388 | C4 | — | 2 | 1 | no | — |
| 389 | C4 | — | 2 | 1 | no | — |
| 390 | C4 | — | 2 | 1 | no | — |
| 391 | C4 | — | 2 | 1 | no | — |
| 392 | C4 | — | 8 | 1 | no | — |
| 393 | C4 | — | 8 | 2 | no | — |
| 394 | C4 | — | 8 | 1 | no | — |
| 395 | C4 | — | 8 | 1 | no | — |
| 396 | C4 | C59×#508 | 1 | 2 | yes | — |
| 397 | C4 | C59×#537 | 1 | 1 | yes | characteristic |
| 398 | C4 | C59×#575 | 1 | 1 | yes | characteristic |
| 399 | C2 | — | 2 | 2 | no | — |
| 400 | C2 | — | 16 | 1 | no | — |
| 401 | C2 | — | 16 | 2 | no | — |
| 402 | C2 | C59×#3245 | 1 | 1 | yes | characteristic |
| 403 | C2 | C2×C59×#508 | 1 | 1 | yes | characteristic |
| 404 | C2 | C2×C59×#509 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta