| 1 | C41×#3558 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C41×#3214 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C41×#3171 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C41×#3153 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C41×#1661 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | C41×#1659 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | C41×#1656 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | C41×#1655 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | C41×#1529 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C41×#1527 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C41×#1525 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C2×#137×C41 | — | 2 | 1 | no | — |
| 13 | C2×AGL(1,ℤ/8)×C41 | — | 2 | 1 | no | — |
| 14 | C41×#562 | C22 | 1 | 2 | yes | — |
| 15 | C41×H(3,𝔽4) | C22 | 1 | 2 | yes | — |
| 16 | C41×#559 | — | 2 | 1 | no | — |
| 17 | C41×#548 | — | 2 | 1 | no | — |
| 18 | C41×#546 | — | 2 | 2 | no | — |
| 19 | C41×#546 | — | 2 | 1 | no | — |
| 20 | D42×C41 | — | 2 | 1 | no | — |
| 21 | C41×#542 | — | 2 | 1 | no | — |
| 22 | C41×#538 | — | 2 | 2 | no | — |
| 23 | C41×#538 | — | 2 | 1 | no | — |
| 24 | C41×#535 | — | 2 | 1 | no | — |
| 25 | C41×#534 | — | 2 | 1 | no | — |
| 26 | C41×#532 | C22 | 1 | 1 | yes | characteristic |
| 27 | C41×#532 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C41×#529 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×#124×C41 | C22 | 1 | 1 | yes | characteristic |
| 30 | C41×#501 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C41×#497 | C22 | 1 | 2 | yes | complemented |
| 32 | C41×#496 | C22 | 1 | 2 | yes | complemented |
| 33 | C41×#496 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C41×#496 | C22 | 1 | 2 | yes | complemented |
| 35 | C41×#495 | — | 2 | 2 | no | — |
| 36 | C41×#490 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | C41×#489 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | C41×#489 | C22 | 1 | 2 | yes | complemented |
| 39 | C41×#469 | — | 2 | 1 | no | — |
| 40 | C41×#468 | — | 2 | 1 | no | — |
| 41 | C41×#461 | — | 2 | 1 | no | — |
| 42 | C41×#459 | — | 2 | 1 | no | — |
| 43 | C41×#449 | — | 2 | 2 | no | — |
| 44 | C4×SD16×C41 | — | 2 | 1 | no | — |
| 45 | C4×D8×C41 | — | 2 | 1 | no | — |
| 46 | C41×#432 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | C4×M16×C41 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | C4×M16×C41 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C41×#330 | C22 | 1 | 2 | yes | complemented |
| 50 | C41×#329 | C22 | 1 | 2 | yes | complemented |
| 51 | C41×#329 | C22 | 1 | 2 | yes | complemented |
| 52 | C41×#329 | C22 | 1 | 2 | yes | complemented |
| 53 | C41×#329 | C22 | 1 | 2 | yes | complemented |
| 54 | C41×#329 | C22 | 1 | 2 | yes | complemented |
| 55 | C2×#41×C41 | — | 2 | 1 | no | — |
| 56 | C2×#41×C41 | — | 2 | 1 | no | — |
| 57 | C2×#41×C41 | D4 | 1 | 2 | yes | — |
| 58 | C22×Q8×C41 | D4 | 1 | 1 | yes | characteristic |
| 59 | C22×D4×C41 | — | 2 | 2 | no | — |
| 60 | C22×D4×C41 | — | 2 | 1 | no | — |
| 61 | C22×D4×C41 | D4 | 1 | 1 | yes | characteristic |
| 62 | #137×C41 | — | 4 | 4 | no | — |
| 63 | AGL(1,ℤ/8)×C41 | — | 4 | 4 | no | — |
| 64 | C2×Q16×C41 | — | 2 | 2 | no | — |
| 65 | C2×SD16×C41 | — | 2 | 2 | no | — |
| 66 | C2×SD16×C41 | — | 2 | 1 | no | — |
| 67 | C2×SD16×C41 | — | 2 | 2 | no | — |
| 68 | C2×SD16×C41 | — | 2 | 2 | no | — |
| 69 | C2×D8×C41 | — | 2 | 2 | no | — |
| 70 | C2×D8×C41 | — | 2 | 1 | no | — |
| 71 | C2×D8×C41 | — | 2 | 2 | no | — |
| 72 | C2×M16×C41 | — | 2 | 1 | no | — |
| 73 | C2×M16×C41 | — | 2 | 1 | no | — |
| 74 | C4⋊Q8×C41 | D4 | 1 | 1 | yes | characteristic |
| 75 | C4⋊Q8×C41 | C23 | 1 | 1 | yes | characteristic |
| 76 | #127×C41 | — | 2 | 1 | no | — |
| 77 | #127×C41 | D4 | 1 | 1 | yes | characteristic |
| 78 | #127×C41 | C23 | 1 | 1 | yes | characteristic |
| 79 | #126×C41 | — | 2 | 2 | no | — |
| 80 | #126×C41 | — | 2 | 1 | no | — |
| 81 | #125×C41 | C23 | 1 | 1 | yes | characteristic |
| 82 | #124×C41 | — | 2 | 1 | no | — |
| 83 | #124×C41 | — | 2 | 2 | no | — |
| 84 | #124×C41 | — | 2 | 2 | no | — |
| 85 | #124×C41 | — | 2 | 2 | no | — |
| 86 | #124×C41 | — | 2 | 1 | no | — |
| 87 | #124×C41 | — | 2 | 1 | no | — |
| 88 | #124×C41 | — | 2 | 1 | no | — |
| 89 | #124×C41 | D4 | 1 | 2 | yes | — |
| 90 | #124×C41 | C23 | 1 | 2 | yes | — |
| 91 | #124×C41 | C23 | 1 | 1 | yes | characteristic |
| 92 | #124×C41 | C23 | 1 | 2 | yes | — |
| 93 | #123×C41 | — | 2 | 2 | no | — |
| 94 | #123×C41 | — | 2 | 2 | no | — |
| 95 | #123×C41 | — | 2 | 1 | no | — |
| 96 | #123×C41 | — | 2 | 2 | no | — |
| 97 | #123×C41 | — | 2 | 2 | no | — |
| 98 | C22⋊Q8×C41 | — | 2 | 1 | no | — |
| 99 | C22⋊Q8×C41 | — | 2 | 2 | no | — |
| 100 | C22⋊Q8×C41 | — | 2 | 2 | no | — |
| 101 | C22⋊Q8×C41 | D4 | 1 | 1 | yes | characteristic |
| 102 | #121×C41 | — | 2 | 2 | no | — |
| 103 | #121×C41 | — | 2 | 2 | no | — |
| 104 | #121×C41 | — | 2 | 2 | no | — |
| 105 | #121×C41 | — | 2 | 1 | no | — |
| 106 | #121×C41 | — | 2 | 2 | no | — |
| 107 | #121×C41 | — | 2 | 2 | no | — |
| 108 | #121×C41 | — | 2 | 1 | no | — |
| 109 | #121×C41 | — | 2 | 1 | no | — |
| 110 | #121×C41 | — | 2 | 1 | no | — |
| 111 | #121×C41 | — | 2 | 1 | no | — |
| 112 | #121×C41 | D4 | 1 | 1 | yes | characteristic |
| 113 | #120×C41 | — | 2 | 2 | no | — |
| 114 | #120×C41 | — | 2 | 2 | no | — |
| 115 | #120×C41 | — | 2 | 2 | no | — |
| 116 | #120×C41 | — | 2 | 2 | no | — |
| 117 | #120×C41 | — | 2 | 2 | no | — |
| 118 | C4×Q8×C41 | — | 2 | 1 | no | — |
| 119 | C4×Q8×C41 | D4 | 1 | 1 | yes | characteristic |
| 120 | C4×D4×C41 | — | 2 | 2 | no | — |
| 121 | C4×D4×C41 | — | 2 | 2 | no | — |
| 122 | C4×D4×C41 | — | 2 | 1 | no | — |
| 123 | C4×D4×C41 | — | 2 | 1 | no | — |
| 124 | C4×D4×C41 | — | 2 | 1 | no | — |
| 125 | C4×D4×C41 | — | 2 | 1 | no | — |
| 126 | C4×D4×C41 | — | 2 | 1 | no | — |
| 127 | C4×D4×C41 | — | 2 | 1 | no | — |
| 128 | C4×D4×C41 | D4 | 1 | 1 | yes | characteristic |
| 129 | #117×C41 | — | 2 | 1 | no | — |
| 130 | C2×C22⋊C4×C41 | — | 2 | 2 | no | — |
| 131 | C2×C22⋊C4×C41 | — | 2 | 1 | no | — |
| 132 | C2×C22⋊C4×C41 | — | 2 | 1 | no | — |
| 133 | C2×C42×C41 | C23 | 1 | 1 | yes | characteristic |
| 134 | #107×C41 | — | 2 | 1 | no | — |
| 135 | #106×C41 | — | 2 | 1 | no | — |
| 136 | C4⋊C8×C41 | — | 2 | 1 | no | — |
| 137 | #103×C41 | — | 2 | 1 | no | — |
| 138 | #103×C41 | — | 2 | 2 | no | — |
| 139 | #102×C41 | — | 2 | 1 | no | — |
| 140 | #102×C41 | — | 2 | 2 | no | — |
| 141 | #102×C41 | — | 2 | 1 | no | — |
| 142 | #102×C41 | — | 2 | 1 | no | — |
| 143 | C22⋊C8×C41 | — | 2 | 1 | no | — |
| 144 | #97×C41 | C23 | 1 | 1 | yes | characteristic |
| 145 | #97×C41 | C23 | 1 | 1 | yes | characteristic |
| 146 | #97×C41 | C23 | 1 | 2 | yes | — |
| 147 | #97×C41 | C23 | 1 | 2 | yes | — |
| 148 | C4×C8×C41 | — | 2 | 1 | no | — |
| 149 | C4×C8×C41 | — | 2 | 1 | no | — |
| 150 | C24×C41 | — | 2 | 2 | no | — |
| 151 | C24×C41 | — | 2 | 1 | no | — |
| 152 | #41×C41 | — | 4 | 2 | no | — |
| 153 | #41×C41 | — | 4 | 2 | no | — |
| 154 | #41×C41 | — | 8 | 2 | no | — |
| 155 | #41×C41 | — | 8 | 2 | no | — |
| 156 | C2×Q8×C41 | — | 2 | 1 | no | — |
| 157 | C2×Q8×C41 | — | 2 | 1 | no | — |
| 158 | C2×Q8×C41 | — | 4 | 2 | no | — |
| 159 | C2×Q8×C41 | C2×D4 | 1 | 1 | yes | characteristic |
| 160 | C2×Q8×C41 | C2×D4 | 1 | 2 | yes | — |
| 161 | C2×Q8×C41 | C2×D4 | 1 | 2 | yes | — |
| 162 | C2×D4×C41 | — | 2 | 2 | no | — |
| 163 | C2×D4×C41 | — | 2 | 1 | no | — |
| 164 | C2×D4×C41 | — | 2 | 2 | no | — |
| 165 | C2×D4×C41 | — | 2 | 2 | no | — |
| 166 | C2×D4×C41 | — | 2 | 2 | no | — |
| 167 | C2×D4×C41 | — | 2 | 2 | no | — |
| 168 | C2×D4×C41 | — | 2 | 2 | no | — |
| 169 | C2×D4×C41 | — | 2 | 1 | no | — |
| 170 | C2×D4×C41 | — | 2 | 1 | no | — |
| 171 | C2×D4×C41 | — | 2 | 1 | no | — |
| 172 | C2×D4×C41 | — | 2 | 1 | no | — |
| 173 | C2×D4×C41 | — | 2 | 1 | no | — |
| 174 | C2×D4×C41 | — | 2 | 1 | no | — |
| 175 | C2×D4×C41 | — | 4 | 2 | no | — |
| 176 | C2×D4×C41 | — | 4 | 1 | no | — |
| 177 | C2×D4×C41 | — | 8 | 2 | no | — |
| 178 | C2×D4×C41 | — | 8 | 4 | no | — |
| 179 | C2×D4×C41 | C2×D4 | 1 | 1 | yes | characteristic |
| 180 | C2×D4×C41 | C2×D4 | 1 | 2 | yes | — |
| 181 | C2×D4×C41 | C2×D4 | 1 | 2 | yes | — |
| 182 | C22×C4×C41 | — | 2 | 2 | no | — |
| 183 | C22×C4×C41 | — | 2 | 2 | no | — |
| 184 | C22×C4×C41 | — | 2 | 1 | no | — |
| 185 | C22×C4×C41 | — | 2 | 1 | no | — |
| 186 | C22×C4×C41 | — | 2 | 2 | no | — |
| 187 | C22×C4×C41 | — | 4 | 1 | no | — |
| 188 | C22×C4×C41 | C2×D4 | 1 | 1 | yes | characteristic |
| 189 | C22×C4×C41 | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | C22×C4×C41 | C2×D4 | 1 | 1 | yes | characteristic |
| 191 | Q16×C41 | — | 4 | 4 | no | — |
| 192 | SD16×C41 | — | 4 | 2 | no | — |
| 193 | SD16×C41 | — | 4 | 4 | no | — |
| 194 | SD16×C41 | — | 4 | 4 | no | — |
| 195 | SD16×C41 | — | 8 | 2 | no | — |
| 196 | D8×C41 | — | 4 | 2 | no | — |
| 197 | D8×C41 | — | 4 | 4 | no | — |
| 198 | D8×C41 | — | 8 | 2 | no | — |
| 199 | M16×C41 | — | 2 | 4 | no | — |
| 200 | M16×C41 | — | 4 | 2 | no | — |
| 201 | C2×C8×C41 | — | 2 | 1 | no | — |
| 202 | C2×C8×C41 | — | 2 | 2 | no | — |
| 203 | C2×C8×C41 | — | 2 | 1 | no | — |
| 204 | C2×C8×C41 | — | 2 | 2 | no | — |
| 205 | C4⋊C4×C41 | — | 2 | 2 | no | — |
| 206 | C4⋊C4×C41 | — | 2 | 2 | no | — |
| 207 | C4⋊C4×C41 | — | 2 | 1 | no | — |
| 208 | C4⋊C4×C41 | — | 2 | 1 | no | — |
| 209 | C4⋊C4×C41 | — | 2 | 1 | no | — |
| 210 | C4⋊C4×C41 | — | 2 | 1 | no | — |
| 211 | C4⋊C4×C41 | — | 2 | 1 | no | — |
| 212 | C4⋊C4×C41 | — | 2 | 1 | no | — |
| 213 | C4⋊C4×C41 | — | 2 | 1 | no | — |
| 214 | C4⋊C4×C41 | — | 2 | 1 | no | — |
| 215 | C4⋊C4×C41 | C2×D4 | 1 | 1 | yes | characteristic |
| 216 | C4⋊C4×C41 | C2×D4 | 1 | 1 | yes | characteristic |
| 217 | C22⋊C4×C41 | — | 2 | 2 | no | — |
| 218 | C22⋊C4×C41 | — | 2 | 2 | no | — |
| 219 | C22⋊C4×C41 | — | 2 | 2 | no | — |
| 220 | C22⋊C4×C41 | — | 2 | 2 | no | — |
| 221 | C22⋊C4×C41 | — | 2 | 2 | no | — |
| 222 | C22⋊C4×C41 | — | 2 | 1 | no | — |
| 223 | C22⋊C4×C41 | — | 2 | 2 | no | — |
| 224 | C22⋊C4×C41 | — | 2 | 1 | no | — |
| 225 | C22⋊C4×C41 | — | 2 | 2 | no | — |
| 226 | C22⋊C4×C41 | — | 2 | 1 | no | — |
| 227 | C22⋊C4×C41 | — | 2 | 2 | no | — |
| 228 | C22⋊C4×C41 | — | 2 | 2 | no | — |
| 229 | C22⋊C4×C41 | — | 2 | 1 | no | — |
| 230 | C22⋊C4×C41 | — | 2 | 1 | no | — |
| 231 | C22⋊C4×C41 | — | 2 | 2 | no | — |
| 232 | C22⋊C4×C41 | — | 2 | 2 | no | — |
| 233 | C22⋊C4×C41 | — | 4 | 1 | no | — |
| 234 | C22⋊C4×C41 | — | 4 | 1 | no | — |
| 235 | C42×C41 | — | 2 | 2 | no | — |
| 236 | C42×C41 | — | 2 | 1 | no | — |
| 237 | C42×C41 | C2×D4 | 1 | 1 | yes | characteristic |
| 238 | C42×C41 | C2×D4 | 1 | 1 | yes | characteristic |
| 239 | C42×C41 | C2×D4 | 1 | 1 | yes | characteristic |
| 240 | C42×C41 | C24 | 1 | 1 | yes | characteristic |
| 241 | C23×C41 | — | 2 | 1 | no | — |
| 242 | C23×C41 | — | 2 | 2 | no | — |
| 243 | C23×C41 | — | 2 | 2 | no | — |
| 244 | C23×C41 | — | 4 | 2 | no | — |
| 245 | C23×C41 | — | 4 | 1 | no | — |
| 246 | C23×C41 | — | 8 | 1 | no | — |
| 247 | C23×C41 | — | 8 | 1 | no | — |
| 248 | C23×C41 | — | 8 | 2 | no | — |
| 249 | C23×C41 | — | 8 | 2 | no | — |
| 250 | C23×C41 | — | 8 | 2 | no | — |
| 251 | C23×C41 | #120 | 1 | 1 | yes | characteristic |
| 252 | Q8×C41 | — | 4 | 2 | no | — |
| 253 | Q8×C41 | — | 4 | 1 | no | — |
| 254 | Q8×C41 | — | 4 | 2 | no | — |
| 255 | Q8×C41 | — | 4 | 1 | no | — |
| 256 | Q8×C41 | — | 4 | 1 | no | — |
| 257 | Q8×C41 | — | 4 | 2 | no | — |
| 258 | D4×C41 | — | 4 | 2 | no | — |
| 259 | D4×C41 | — | 4 | 1 | no | — |
| 260 | D4×C41 | — | 4 | 2 | no | — |
| 261 | D4×C41 | — | 4 | 1 | no | — |
| 262 | D4×C41 | — | 4 | 1 | no | — |
| 263 | D4×C41 | — | 4 | 1 | no | — |
| 264 | D4×C41 | — | 4 | 1 | no | — |
| 265 | D4×C41 | — | 4 | 1 | no | — |
| 266 | D4×C41 | — | 4 | 1 | no | — |
| 267 | D4×C41 | — | 4 | 2 | no | — |
| 268 | D4×C41 | — | 4 | 4 | no | — |
| 269 | D4×C41 | — | 4 | 2 | no | — |
| 270 | D4×C41 | — | 4 | 2 | no | — |
| 271 | D4×C41 | — | 8 | 1 | no | — |
| 272 | D4×C41 | — | 8 | 2 | no | — |
| 273 | D4×C41 | — | 8 | 2 | no | — |
| 274 | D4×C41 | — | 8 | 2 | no | — |
| 275 | D4×C41 | — | 8 | 2 | no | — |
| 276 | D4×C41 | — | 8 | 2 | no | — |
| 277 | D4×C41 | — | 8 | 2 | no | — |
| 278 | C2×C4×C41 | — | 2 | 2 | no | — |
| 279 | C2×C4×C41 | — | 2 | 1 | no | — |
| 280 | C2×C4×C41 | — | 2 | 2 | no | — |
| 281 | C2×C4×C41 | — | 2 | 2 | no | — |
| 282 | C2×C4×C41 | — | 2 | 1 | no | — |
| 283 | C2×C4×C41 | — | 2 | 1 | no | — |
| 284 | C2×C4×C41 | — | 4 | 1 | no | — |
| 285 | C2×C4×C41 | — | 4 | 1 | no | — |
| 286 | C2×C4×C41 | — | 4 | 2 | no | — |
| 287 | C2×C4×C41 | — | 4 | 1 | no | — |
| 288 | C2×C4×C41 | — | 8 | 2 | no | — |
| 289 | C2×C4×C41 | — | 8 | 1 | no | — |
| 290 | C2×C4×C41 | — | 8 | 2 | no | — |
| 291 | C2×C4×C41 | — | 8 | 2 | no | — |
| 292 | C2×C4×C41 | — | 8 | 2 | no | — |
| 293 | C2×C4×C41 | #120 | 1 | 1 | yes | characteristic |
| 294 | C2×C4×C41 | #120 | 1 | 1 | yes | characteristic |
| 295 | C2×C4×C41 | #120 | 1 | 1 | yes | characteristic |
| 296 | C2×C4×C41 | C22×D4 | 1 | 1 | yes | characteristic |
| 297 | C2×C4×C41 | C22×D4 | 1 | 1 | yes | characteristic |
| 298 | C2×C4×C41 | C22×D4 | 1 | 1 | yes | characteristic |
| 299 | C8×C41 | — | 2 | 4 | no | — |
| 300 | C8×C41 | — | 2 | 2 | no | — |
| 301 | C8×C41 | — | 4 | 1 | no | — |
| 302 | C8×C41 | — | 4 | 2 | no | — |
| 303 | #19018 | C41 | 1 | 1 | yes | maximal, characteristic, direct product factor, Sylow |
| 304 | C22×C41 | — | 2 | 1 | no | — |
| 305 | C22×C41 | — | 2 | 1 | no | — |
| 306 | C22×C41 | — | 2 | 1 | no | — |
| 307 | C22×C41 | — | 4 | 1 | no | — |
| 308 | C22×C41 | — | 4 | 2 | no | — |
| 309 | C22×C41 | — | 4 | 2 | no | — |
| 310 | C22×C41 | — | 4 | 1 | no | — |
| 311 | C22×C41 | — | 4 | 2 | no | — |
| 312 | C22×C41 | — | 4 | 2 | no | — |
| 313 | C22×C41 | — | 4 | 2 | no | — |
| 314 | C22×C41 | — | 4 | 2 | no | — |
| 315 | C22×C41 | — | 4 | 1 | no | — |
| 316 | C22×C41 | — | 8 | 1 | no | — |
| 317 | C22×C41 | — | 8 | 1 | no | — |
| 318 | C22×C41 | — | 8 | 1 | no | — |
| 319 | C22×C41 | — | 16 | 2 | no | — |
| 320 | C22×C41 | — | 16 | 4 | no | — |
| 321 | C22×C41 | C2×#120 | 1 | 1 | yes | characteristic |
| 322 | C4×C41 | — | 2 | 1 | no | — |
| 323 | C4×C41 | — | 2 | 1 | no | — |
| 324 | C4×C41 | — | 2 | 1 | no | — |
| 325 | C4×C41 | — | 2 | 1 | no | — |
| 326 | C4×C41 | — | 2 | 1 | no | — |
| 327 | C4×C41 | — | 4 | 1 | no | — |
| 328 | C4×C41 | — | 4 | 2 | no | — |
| 329 | C4×C41 | — | 4 | 1 | no | — |
| 330 | C4×C41 | — | 4 | 1 | no | — |
| 331 | C4×C41 | — | 4 | 2 | no | — |
| 332 | C4×C41 | — | 8 | 1 | no | — |
| 333 | C4×C41 | #453 | 1 | 2 | yes | — |
| 334 | #3558 | C2×C41 | 1 | 1 | yes | characteristic, complemented |
| 335 | #3214 | C2×C41 | 1 | 1 | yes | characteristic, complemented |
| 336 | #3171 | C2×C41 | 1 | 1 | yes | characteristic, complemented |
| 337 | #3153 | C2×C41 | 1 | 1 | yes | characteristic, complemented |
| 338 | #1661 | C2×C41 | 1 | 2 | yes | complemented |
| 339 | #1659 | C2×C41 | 1 | 2 | yes | complemented |
| 340 | #1656 | C2×C41 | 1 | 2 | yes | complemented |
| 341 | #1655 | C2×C41 | 1 | 2 | yes | complemented |
| 342 | #1529 | C2×C41 | 1 | 1 | yes | characteristic, complemented |
| 343 | #1527 | C2×C41 | 1 | 1 | yes | characteristic, complemented |
| 344 | #1525 | C2×C41 | 1 | 1 | yes | characteristic, complemented |
| 345 | C2×C41 | — | 4 | 1 | no | — |
| 346 | C2×C41 | — | 8 | 2 | no | — |
| 347 | C2×C41 | — | 8 | 1 | no | — |
| 348 | C2×C41 | — | 8 | 2 | no | — |
| 349 | C2×C41 | — | 16 | 1 | no | — |
| 350 | C2×C41 | C2×#453 | 1 | 1 | yes | characteristic |
| 351 | C2×C41 | #3018 | 1 | 1 | yes | characteristic |
| 352 | C2×C41 | #3019 | 1 | 1 | yes | characteristic |
| 353 | C2×#137 | — | 2 | 1 | no | — |
| 354 | C2×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 355 | #562 | C22×C41 | 1 | 2 | yes | — |
| 356 | H(3,𝔽4) | C22×C41 | 1 | 2 | yes | — |
| 357 | #559 | — | 2 | 1 | no | — |
| 358 | #548 | — | 2 | 1 | no | — |
| 359 | #546 | — | 2 | 2 | no | — |
| 360 | #546 | — | 2 | 1 | no | — |
| 361 | D42 | — | 2 | 1 | no | — |
| 362 | #542 | — | 2 | 1 | no | — |
| 363 | #538 | — | 2 | 2 | no | — |
| 364 | #538 | — | 2 | 1 | no | — |
| 365 | #535 | — | 2 | 1 | no | — |
| 366 | #534 | — | 2 | 1 | no | — |
| 367 | #532 | C22×C41 | 1 | 1 | yes | characteristic |
| 368 | #532 | C22×C41 | 1 | 1 | yes | characteristic, complemented |
| 369 | #529 | C22×C41 | 1 | 1 | yes | characteristic |
| 370 | C2×#124 | C22×C41 | 1 | 1 | yes | characteristic |
| 371 | #501 | C22×C41 | 1 | 1 | yes | characteristic, complemented |
| 372 | #497 | C22×C41 | 1 | 2 | yes | complemented |
| 373 | #496 | C22×C41 | 1 | 2 | yes | complemented |
| 374 | #496 | C22×C41 | 1 | 1 | yes | characteristic, complemented |
| 375 | #496 | C22×C41 | 1 | 2 | yes | complemented |
| 376 | #495 | — | 2 | 2 | no | — |
| 377 | #490 | C22×C41 | 1 | 1 | yes | characteristic, complemented |
| 378 | #489 | C22×C41 | 1 | 1 | yes | characteristic, complemented |
| 379 | #489 | C22×C41 | 1 | 2 | yes | complemented |
| 380 | #469 | — | 2 | 1 | no | — |
| 381 | #468 | — | 2 | 1 | no | — |
| 382 | #461 | — | 2 | 1 | no | — |
| 383 | #459 | — | 2 | 1 | no | — |
| 384 | #449 | — | 2 | 2 | no | — |
| 385 | C4×SD16 | — | 2 | 1 | no | — |
| 386 | C4×D8 | — | 2 | 1 | no | — |
| 387 | #432 | C22×C41 | 1 | 1 | yes | characteristic, complemented |
| 388 | C4×M16 | C22×C41 | 1 | 1 | yes | characteristic, complemented |
| 389 | C4×M16 | C22×C41 | 1 | 1 | yes | characteristic, complemented |
| 390 | #330 | C22×C41 | 1 | 2 | yes | complemented |
| 391 | #329 | C22×C41 | 1 | 2 | yes | complemented |
| 392 | #329 | C22×C41 | 1 | 2 | yes | complemented |
| 393 | #329 | C22×C41 | 1 | 2 | yes | complemented |
| 394 | #329 | C22×C41 | 1 | 2 | yes | complemented |
| 395 | #329 | C22×C41 | 1 | 2 | yes | complemented |
| 396 | C41 | #19018 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 397 | C2×#41 | — | 2 | 1 | no | — |
| 398 | C2×#41 | — | 2 | 1 | no | — |
| 399 | C2×#41 | D4×C41 | 1 | 2 | yes | — |
| 400 | C22×Q8 | D4×C41 | 1 | 1 | yes | characteristic |
| 401 | C22×D4 | — | 2 | 2 | no | — |
| 402 | C22×D4 | — | 2 | 1 | no | — |
| 403 | C22×D4 | D4×C41 | 1 | 1 | yes | characteristic |
| 404 | #137 | — | 4 | 4 | no | — |
| 405 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 406 | C2×Q16 | — | 2 | 2 | no | — |
| 407 | C2×SD16 | — | 2 | 2 | no | — |
| 408 | C2×SD16 | — | 2 | 1 | no | — |
| 409 | C2×SD16 | — | 2 | 2 | no | — |
| 410 | C2×SD16 | — | 2 | 2 | no | — |
| 411 | C2×D8 | — | 2 | 2 | no | — |
| 412 | C2×D8 | — | 2 | 1 | no | — |
| 413 | C2×D8 | — | 2 | 2 | no | — |
| 414 | C2×M16 | — | 2 | 1 | no | — |
| 415 | C2×M16 | — | 2 | 1 | no | — |
| 416 | C4⋊Q8 | D4×C41 | 1 | 1 | yes | characteristic |
| 417 | C4⋊Q8 | C23×C41 | 1 | 1 | yes | characteristic |
| 418 | #127 | — | 2 | 1 | no | — |
| 419 | #127 | D4×C41 | 1 | 1 | yes | characteristic |
| 420 | #127 | C23×C41 | 1 | 1 | yes | characteristic |
| 421 | #126 | — | 2 | 2 | no | — |
| 422 | #126 | — | 2 | 1 | no | — |
| 423 | #125 | C23×C41 | 1 | 1 | yes | characteristic |
| 424 | #124 | — | 2 | 1 | no | — |
| 425 | #124 | — | 2 | 2 | no | — |
| 426 | #124 | — | 2 | 2 | no | — |
| 427 | #124 | — | 2 | 2 | no | — |
| 428 | #124 | — | 2 | 1 | no | — |
| 429 | #124 | — | 2 | 1 | no | — |
| 430 | #124 | — | 2 | 1 | no | — |
| 431 | #124 | D4×C41 | 1 | 2 | yes | — |
| 432 | #124 | C23×C41 | 1 | 2 | yes | — |
| 433 | #124 | C23×C41 | 1 | 1 | yes | characteristic |
| 434 | #124 | C23×C41 | 1 | 2 | yes | — |
| 435 | #123 | — | 2 | 2 | no | — |
| 436 | #123 | — | 2 | 2 | no | — |
| 437 | #123 | — | 2 | 1 | no | — |
| 438 | #123 | — | 2 | 2 | no | — |
| 439 | #123 | — | 2 | 2 | no | — |
| 440 | C22⋊Q8 | — | 2 | 1 | no | — |
| 441 | C22⋊Q8 | — | 2 | 2 | no | — |
| 442 | C22⋊Q8 | — | 2 | 2 | no | — |
| 443 | C22⋊Q8 | D4×C41 | 1 | 1 | yes | characteristic |
| 444 | #121 | — | 2 | 2 | no | — |
| 445 | #121 | — | 2 | 2 | no | — |
| 446 | #121 | — | 2 | 2 | no | — |
| 447 | #121 | — | 2 | 1 | no | — |
| 448 | #121 | — | 2 | 2 | no | — |
| 449 | #121 | — | 2 | 2 | no | — |
| 450 | #121 | — | 2 | 1 | no | — |
| 451 | #121 | — | 2 | 1 | no | — |
| 452 | #121 | — | 2 | 1 | no | — |
| 453 | #121 | — | 2 | 1 | no | — |
| 454 | #121 | D4×C41 | 1 | 1 | yes | characteristic |
| 455 | #120 | — | 2 | 2 | no | — |
| 456 | #120 | — | 2 | 2 | no | — |
| 457 | #120 | — | 2 | 2 | no | — |
| 458 | #120 | — | 2 | 2 | no | — |
| 459 | #120 | — | 2 | 2 | no | — |
| 460 | C4×Q8 | — | 2 | 1 | no | — |
| 461 | C4×Q8 | D4×C41 | 1 | 1 | yes | characteristic |
| 462 | C4×D4 | — | 2 | 2 | no | — |
| 463 | C4×D4 | — | 2 | 2 | no | — |
| 464 | C4×D4 | — | 2 | 1 | no | — |
| 465 | C4×D4 | — | 2 | 1 | no | — |
| 466 | C4×D4 | — | 2 | 1 | no | — |
| 467 | C4×D4 | — | 2 | 1 | no | — |
| 468 | C4×D4 | — | 2 | 1 | no | — |
| 469 | C4×D4 | — | 2 | 1 | no | — |
| 470 | C4×D4 | D4×C41 | 1 | 1 | yes | characteristic |
| 471 | #117 | — | 2 | 1 | no | — |
| 472 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 473 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 474 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 475 | C2×C42 | C23×C41 | 1 | 1 | yes | characteristic |
| 476 | #107 | — | 2 | 1 | no | — |
| 477 | #106 | — | 2 | 1 | no | — |
| 478 | C4⋊C8 | — | 2 | 1 | no | — |
| 479 | #103 | — | 2 | 1 | no | — |
| 480 | #103 | — | 2 | 2 | no | — |
| 481 | #102 | — | 2 | 1 | no | — |
| 482 | #102 | — | 2 | 2 | no | — |
| 483 | #102 | — | 2 | 1 | no | — |
| 484 | #102 | — | 2 | 1 | no | — |
| 485 | C22⋊C8 | — | 2 | 1 | no | — |
| 486 | #97 | C23×C41 | 1 | 1 | yes | characteristic |
| 487 | #97 | C23×C41 | 1 | 1 | yes | characteristic |
| 488 | #97 | C23×C41 | 1 | 2 | yes | — |
| 489 | #97 | C23×C41 | 1 | 2 | yes | — |
| 490 | C4×C8 | — | 2 | 1 | no | — |
| 491 | C4×C8 | — | 2 | 1 | no | — |
| 492 | C24 | — | 2 | 2 | no | — |
| 493 | C24 | — | 2 | 1 | no | — |
| 494 | #41 | — | 4 | 2 | no | — |
| 495 | #41 | — | 4 | 2 | no | — |
| 496 | #41 | — | 8 | 2 | no | — |
| 497 | #41 | — | 8 | 2 | no | — |
| 498 | C2×Q8 | — | 2 | 1 | no | — |
| 499 | C2×Q8 | — | 2 | 1 | no | — |
| 500 | C2×Q8 | — | 4 | 2 | no | — |
| 501 | C2×Q8 | C2×D4×C41 | 1 | 1 | yes | characteristic |
| 502 | C2×Q8 | C2×D4×C41 | 1 | 2 | yes | — |
| 503 | C2×Q8 | C2×D4×C41 | 1 | 2 | yes | — |
| 504 | C2×D4 | — | 2 | 2 | no | — |
| 505 | C2×D4 | — | 2 | 1 | no | — |
| 506 | C2×D4 | — | 2 | 2 | no | — |
| 507 | C2×D4 | — | 2 | 2 | no | — |
| 508 | C2×D4 | — | 2 | 2 | no | — |
| 509 | C2×D4 | — | 2 | 2 | no | — |
| 510 | C2×D4 | — | 2 | 2 | no | — |
| 511 | C2×D4 | — | 2 | 1 | no | — |
| 512 | C2×D4 | — | 2 | 1 | no | — |
| 513 | C2×D4 | — | 2 | 1 | no | — |
| 514 | C2×D4 | — | 2 | 1 | no | — |
| 515 | C2×D4 | — | 2 | 1 | no | — |
| 516 | C2×D4 | — | 2 | 1 | no | — |
| 517 | C2×D4 | — | 4 | 2 | no | — |
| 518 | C2×D4 | — | 4 | 1 | no | — |
| 519 | C2×D4 | — | 8 | 2 | no | — |
| 520 | C2×D4 | — | 8 | 4 | no | — |
| 521 | C2×D4 | C2×D4×C41 | 1 | 1 | yes | characteristic |
| 522 | C2×D4 | C2×D4×C41 | 1 | 2 | yes | — |
| 523 | C2×D4 | C2×D4×C41 | 1 | 2 | yes | — |
| 524 | C22×C4 | — | 2 | 2 | no | — |
| 525 | C22×C4 | — | 2 | 2 | no | — |
| 526 | C22×C4 | — | 2 | 1 | no | — |
| 527 | C22×C4 | — | 2 | 1 | no | — |
| 528 | C22×C4 | — | 2 | 2 | no | — |
| 529 | C22×C4 | — | 4 | 1 | no | — |
| 530 | C22×C4 | C2×D4×C41 | 1 | 1 | yes | characteristic |
| 531 | C22×C4 | C2×D4×C41 | 1 | 1 | yes | characteristic |
| 532 | C22×C4 | C2×D4×C41 | 1 | 1 | yes | characteristic |
| 533 | Q16 | — | 4 | 4 | no | — |
| 534 | SD16 | — | 4 | 2 | no | — |
| 535 | SD16 | — | 4 | 4 | no | — |
| 536 | SD16 | — | 4 | 4 | no | — |
| 537 | SD16 | — | 8 | 2 | no | — |
| 538 | D8 | — | 4 | 2 | no | — |
| 539 | D8 | — | 4 | 4 | no | — |
| 540 | D8 | — | 8 | 2 | no | — |
| 541 | M16 | — | 2 | 4 | no | — |
| 542 | M16 | — | 4 | 2 | no | — |
| 543 | C2×C8 | — | 2 | 1 | no | — |
| 544 | C2×C8 | — | 2 | 2 | no | — |
| 545 | C2×C8 | — | 2 | 1 | no | — |
| 546 | C2×C8 | — | 2 | 2 | no | — |
| 547 | C4⋊C4 | — | 2 | 2 | no | — |
| 548 | C4⋊C4 | — | 2 | 2 | no | — |
| 549 | C4⋊C4 | — | 2 | 1 | no | — |
| 550 | C4⋊C4 | — | 2 | 1 | no | — |
| 551 | C4⋊C4 | — | 2 | 1 | no | — |
| 552 | C4⋊C4 | — | 2 | 1 | no | — |
| 553 | C4⋊C4 | — | 2 | 1 | no | — |
| 554 | C4⋊C4 | — | 2 | 1 | no | — |
| 555 | C4⋊C4 | — | 2 | 1 | no | — |
| 556 | C4⋊C4 | — | 2 | 1 | no | — |
| 557 | C4⋊C4 | C2×D4×C41 | 1 | 1 | yes | characteristic |
| 558 | C4⋊C4 | C2×D4×C41 | 1 | 1 | yes | characteristic |
| 559 | C22⋊C4 | — | 2 | 2 | no | — |
| 560 | C22⋊C4 | — | 2 | 2 | no | — |
| 561 | C22⋊C4 | — | 2 | 2 | no | — |
| 562 | C22⋊C4 | — | 2 | 2 | no | — |
| 563 | C22⋊C4 | — | 2 | 2 | no | — |
| 564 | C22⋊C4 | — | 2 | 1 | no | — |
| 565 | C22⋊C4 | — | 2 | 2 | no | — |
| 566 | C22⋊C4 | — | 2 | 1 | no | — |
| 567 | C22⋊C4 | — | 2 | 2 | no | — |
| 568 | C22⋊C4 | — | 2 | 1 | no | — |
| 569 | C22⋊C4 | — | 2 | 2 | no | — |
| 570 | C22⋊C4 | — | 2 | 2 | no | — |
| 571 | C22⋊C4 | — | 2 | 1 | no | — |
| 572 | C22⋊C4 | — | 2 | 1 | no | — |
| 573 | C22⋊C4 | — | 2 | 2 | no | — |
| 574 | C22⋊C4 | — | 2 | 2 | no | — |
| 575 | C22⋊C4 | — | 4 | 1 | no | — |
| 576 | C22⋊C4 | — | 4 | 1 | no | — |
| 577 | C42 | — | 2 | 2 | no | — |
| 578 | C42 | — | 2 | 1 | no | — |
| 579 | C42 | C2×D4×C41 | 1 | 1 | yes | characteristic |
| 580 | C42 | C2×D4×C41 | 1 | 1 | yes | characteristic |
| 581 | C42 | C2×D4×C41 | 1 | 1 | yes | characteristic |
| 582 | C42 | C24×C41 | 1 | 1 | yes | characteristic |
| 583 | C23 | — | 2 | 1 | no | — |
| 584 | C23 | — | 2 | 2 | no | — |
| 585 | C23 | — | 2 | 2 | no | — |
| 586 | C23 | — | 4 | 2 | no | — |
| 587 | C23 | — | 4 | 1 | no | — |
| 588 | C23 | — | 8 | 1 | no | — |
| 589 | C23 | — | 8 | 1 | no | — |
| 590 | C23 | — | 8 | 2 | no | — |
| 591 | C23 | — | 8 | 2 | no | — |
| 592 | C23 | — | 8 | 2 | no | — |
| 593 | C23 | #120×C41 | 1 | 1 | yes | characteristic |
| 594 | Q8 | — | 4 | 2 | no | — |
| 595 | Q8 | — | 4 | 1 | no | — |
| 596 | Q8 | — | 4 | 2 | no | — |
| 597 | Q8 | — | 4 | 1 | no | — |
| 598 | Q8 | — | 4 | 1 | no | — |
| 599 | Q8 | — | 4 | 2 | no | — |
| 600 | D4 | — | 4 | 2 | no | — |
| 601 | D4 | — | 4 | 1 | no | — |
| 602 | D4 | — | 4 | 2 | no | — |
| 603 | D4 | — | 4 | 1 | no | — |
| 604 | D4 | — | 4 | 1 | no | — |
| 605 | D4 | — | 4 | 1 | no | — |
| 606 | D4 | — | 4 | 1 | no | — |
| 607 | D4 | — | 4 | 1 | no | — |
| 608 | D4 | — | 4 | 1 | no | — |
| 609 | D4 | — | 4 | 2 | no | — |
| 610 | D4 | — | 4 | 4 | no | — |
| 611 | D4 | — | 4 | 2 | no | — |
| 612 | D4 | — | 4 | 2 | no | — |
| 613 | D4 | — | 8 | 1 | no | — |
| 614 | D4 | — | 8 | 2 | no | — |
| 615 | D4 | — | 8 | 2 | no | — |
| 616 | D4 | — | 8 | 2 | no | — |
| 617 | D4 | — | 8 | 2 | no | — |
| 618 | D4 | — | 8 | 2 | no | — |
| 619 | D4 | — | 8 | 2 | no | — |
| 620 | C2×C4 | — | 2 | 2 | no | — |
| 621 | C2×C4 | — | 2 | 1 | no | — |
| 622 | C2×C4 | — | 2 | 2 | no | — |
| 623 | C2×C4 | — | 2 | 2 | no | — |
| 624 | C2×C4 | — | 2 | 1 | no | — |
| 625 | C2×C4 | — | 2 | 1 | no | — |
| 626 | C2×C4 | — | 4 | 1 | no | — |
| 627 | C2×C4 | — | 4 | 1 | no | — |
| 628 | C2×C4 | — | 4 | 2 | no | — |
| 629 | C2×C4 | — | 4 | 1 | no | — |
| 630 | C2×C4 | — | 8 | 2 | no | — |
| 631 | C2×C4 | — | 8 | 1 | no | — |
| 632 | C2×C4 | — | 8 | 2 | no | — |
| 633 | C2×C4 | — | 8 | 2 | no | — |
| 634 | C2×C4 | — | 8 | 2 | no | — |
| 635 | C2×C4 | #120×C41 | 1 | 1 | yes | characteristic |
| 636 | C2×C4 | #120×C41 | 1 | 1 | yes | characteristic |
| 637 | C2×C4 | #120×C41 | 1 | 1 | yes | characteristic |
| 638 | C2×C4 | C22×D4×C41 | 1 | 1 | yes | characteristic |
| 639 | C2×C4 | C22×D4×C41 | 1 | 1 | yes | characteristic |
| 640 | C2×C4 | C22×D4×C41 | 1 | 1 | yes | characteristic |
| 641 | C8 | — | 2 | 4 | no | — |
| 642 | C8 | — | 2 | 2 | no | — |
| 643 | C8 | — | 4 | 1 | no | — |
| 644 | C8 | — | 4 | 2 | no | — |
| 645 | C22 | — | 2 | 1 | no | — |
| 646 | C22 | — | 2 | 1 | no | — |
| 647 | C22 | — | 2 | 1 | no | — |
| 648 | C22 | — | 4 | 1 | no | — |
| 649 | C22 | — | 4 | 2 | no | — |
| 650 | C22 | — | 4 | 2 | no | — |
| 651 | C22 | — | 4 | 1 | no | — |
| 652 | C22 | — | 4 | 2 | no | — |
| 653 | C22 | — | 4 | 2 | no | — |
| 654 | C22 | — | 4 | 2 | no | — |
| 655 | C22 | — | 4 | 2 | no | — |
| 656 | C22 | — | 4 | 1 | no | — |
| 657 | C22 | — | 8 | 1 | no | — |
| 658 | C22 | — | 8 | 1 | no | — |
| 659 | C22 | — | 8 | 1 | no | — |
| 660 | C22 | — | 16 | 2 | no | — |
| 661 | C22 | — | 16 | 4 | no | — |
| 662 | C22 | C2×#120×C41 | 1 | 1 | yes | characteristic |
| 663 | C4 | — | 2 | 1 | no | — |
| 664 | C4 | — | 2 | 1 | no | — |
| 665 | C4 | — | 2 | 1 | no | — |
| 666 | C4 | — | 2 | 1 | no | — |
| 667 | C4 | — | 2 | 1 | no | — |
| 668 | C4 | — | 4 | 1 | no | — |
| 669 | C4 | — | 4 | 2 | no | — |
| 670 | C4 | — | 4 | 1 | no | — |
| 671 | C4 | — | 4 | 1 | no | — |
| 672 | C4 | — | 4 | 2 | no | — |
| 673 | C4 | — | 8 | 1 | no | — |
| 674 | C4 | C41×#453 | 1 | 2 | yes | — |
| 675 | C2 | — | 4 | 1 | no | — |
| 676 | C2 | — | 8 | 1 | no | — |
| 677 | C2 | — | 8 | 2 | no | — |
| 678 | C2 | — | 8 | 2 | no | — |
| 679 | C2 | — | 16 | 1 | no | — |
| 680 | C2 | C2×C41×#453 | 1 | 1 | yes | characteristic |
| 681 | C2 | C41×#3018 | 1 | 1 | yes | characteristic |
| 682 | C2 | C41×#3019 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta