| 1 | #78448 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×#1726 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #69797 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #69725 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #69431 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #67662 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #67615 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #8249 | — | 3 | 1 | no | maximal, Sylow |
| 9 | #5479 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×C3×#97 | — | 2 | 1 | no | — |
| 11 | C2×C3×#97 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×C3×C4×C8 | — | 2 | 1 | no | — |
| 13 | C2×C3×C4×C8 | C22 | 1 | 1 | yes | characteristic |
| 14 | C3×#376 | C22 | 1 | 1 | yes | characteristic |
| 15 | #5111 | — | 2 | 1 | no | — |
| 16 | C8×#67 | — | 2 | 1 | no | — |
| 17 | #4926 | C22 | 1 | 1 | yes | characteristic |
| 18 | #4925 | C22 | 1 | 1 | yes | characteristic |
| 19 | C4×#208 | C22 | 1 | 1 | yes | characteristic |
| 20 | #4690 | — | 2 | 1 | no | — |
| 21 | #4689 | — | 2 | 1 | no | — |
| 22 | #4688 | C4 | 1 | 1 | yes | characteristic, complemented |
| 23 | C8×D12 | C4 | 1 | 1 | yes | characteristic, complemented |
| 24 | #4679 | C4 | 1 | 1 | yes | characteristic, complemented |
| 25 | C8×Dic6 | C4 | 1 | 1 | yes | characteristic, complemented |
| 26 | #4465 | C4 | 1 | 2 | yes | complemented |
| 27 | #4464 | C4 | 1 | 2 | yes | complemented |
| 28 | #4455 | — | 2 | 1 | no | — |
| 29 | #4454 | — | 2 | 1 | no | — |
| 30 | #4452 | C4 | 1 | 2 | yes | — |
| 31 | #4451 | C4 | 1 | 2 | yes | — |
| 32 | #2966 | — | 3 | 1 | no | — |
| 33 | #1726 | D3 | 1 | 1 | yes | characteristic, complemented |
| 34 | #1524 | — | 3 | 1 | no | — |
| 35 | #1500 | — | 3 | 1 | no | — |
| 36 | #1451 | — | 3 | 1 | no | — |
| 37 | #1302 | — | 3 | 1 | no | — |
| 38 | #1300 | — | 3 | 1 | no | — |
| 39 | C22×C3×C8 | — | 2 | 1 | no | — |
| 40 | C22×C3×C8 | D4 | 1 | 1 | yes | characteristic |
| 41 | C22×C3×C8 | D4 | 1 | 1 | yes | characteristic |
| 42 | C2×C3×C42 | — | 2 | 1 | no | — |
| 43 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 44 | #930 | C2×C4 | 1 | 1 | yes | characteristic |
| 45 | #929 | — | 2 | 1 | no | — |
| 46 | C4×#67 | — | 2 | 1 | no | — |
| 47 | #924 | C2×C4 | 1 | 1 | yes | characteristic |
| 48 | C2×#208 | — | 2 | 1 | no | — |
| 49 | C2×ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 50 | C2×D3×C8 | — | 2 | 1 | no | — |
| 51 | #876 | — | 2 | 1 | no | — |
| 52 | #875 | C2×C4 | 1 | 1 | yes | characteristic |
| 53 | C4×D12 | C2×C4 | 1 | 1 | yes | characteristic |
| 54 | #872 | — | 2 | 1 | no | — |
| 55 | #870 | C2×C4 | 1 | 1 | yes | characteristic |
| 56 | C4×Dic6 | C2×C4 | 1 | 1 | yes | characteristic |
| 57 | C3×#97 | — | 2 | 4 | no | — |
| 58 | C3×#97 | — | 2 | 1 | no | — |
| 59 | C3×#97 | C2×C4 | 1 | 2 | yes | — |
| 60 | C3×C4×C8 | — | 2 | 4 | no | — |
| 61 | C3×C4×C8 | C2×C4 | 1 | 1 | yes | characteristic |
| 62 | C3×C4×C8 | C2×C4 | 1 | 1 | yes | characteristic |
| 63 | C3×C4×C8 | D4 | 1 | 1 | yes | characteristic |
| 64 | C3×C4×C8 | D4 | 1 | 1 | yes | characteristic |
| 65 | C3×#95 | — | 2 | 1 | no | — |
| 66 | C3×#95 | C2×C4 | 1 | 2 | yes | — |
| 67 | #830 | — | 2 | 1 | no | — |
| 68 | #830 | C2×C4 | 1 | 2 | yes | — |
| 69 | (C2×D3)⋊C8 | — | 2 | 1 | no | — |
| 70 | (C2×D3)⋊C8 | — | 2 | 1 | no | — |
| 71 | #815 | — | 2 | 1 | no | — |
| 72 | Dic3⋊C8 | — | 2 | 1 | no | — |
| 73 | Dic3⋊C8 | — | 2 | 1 | no | — |
| 74 | C8×Dic3 | — | 2 | 1 | no | — |
| 75 | C4⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 76 | C4⋊(C3⋊C8) | C2×C4 | 1 | 1 | yes | characteristic |
| 77 | C4⋊(C3⋊C8) | C2×C4 | 1 | 1 | yes | characteristic |
| 78 | #803 | — | 2 | 1 | no | — |
| 79 | #803 | C2×C4 | 1 | 2 | yes | — |
| 80 | C4×C3⋊C8 | — | 2 | 1 | no | — |
| 81 | C4×C3⋊C8 | — | 2 | 1 | no | — |
| 82 | #529 | — | 3 | 1 | no | — |
| 83 | #446 | — | 3 | 1 | no | — |
| 84 | C8×Q8 | — | 3 | 1 | no | — |
| 85 | #436 | — | 3 | 1 | no | — |
| 86 | #435 | — | 6 | 1 | no | — |
| 87 | C8×D4 | — | 3 | 1 | no | — |
| 88 | C8×D4 | — | 6 | 1 | no | — |
| 89 | #433 | — | 6 | 1 | no | — |
| 90 | #432 | — | 3 | 1 | no | — |
| 91 | #431 | — | 3 | 1 | no | — |
| 92 | #405 | — | 6 | 1 | no | — |
| 93 | C4×M16 | — | 3 | 1 | no | — |
| 94 | C2×#97 | — | 2 | 1 | no | — |
| 95 | C2×#97 | C2×D3 | 1 | 1 | yes | characteristic |
| 96 | C2×C4×C8 | — | 2 | 1 | no | — |
| 97 | C2×C4×C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 98 | #376 | C2×D3 | 1 | 1 | yes | characteristic |
| 99 | #330 | — | 3 | 2 | no | — |
| 100 | #329 | — | 3 | 2 | no | — |
| 101 | #328 | — | 3 | 2 | no | — |
| 102 | #327 | — | 3 | 2 | no | — |
| 103 | #322 | — | 6 | 1 | no | — |
| 104 | #322 | — | 6 | 1 | no | — |
| 105 | C22×C3×C4 | — | 2 | 2 | no | — |
| 106 | C22×C3×C4 | C22×C4 | 1 | 1 | yes | characteristic |
| 107 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 108 | C22×C3×C4 | #41 | 1 | 1 | yes | characteristic |
| 109 | C2×#67 | — | 2 | 1 | no | — |
| 110 | C2×D12 | C42 | 1 | 1 | yes | characteristic |
| 111 | C2×C4×D3 | — | 2 | 1 | no | — |
| 112 | C2×Dic6 | C42 | 1 | 1 | yes | characteristic |
| 113 | C2×C3×C8 | — | 2 | 2 | no | — |
| 114 | C2×C3×C8 | — | 2 | 2 | no | — |
| 115 | C2×C3×C8 | — | 2 | 2 | no | — |
| 116 | C2×C3×C8 | — | 2 | 2 | no | — |
| 117 | C2×C3×C8 | — | 2 | 2 | no | — |
| 118 | C2×C3×C8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 119 | C2×C3×C8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 120 | C2×C3×C8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 121 | C2×C3×C8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 122 | C3×C42 | — | 2 | 2 | no | — |
| 123 | C3×C42 | — | 2 | 2 | no | — |
| 124 | C3×C42 | C22×C4 | 1 | 1 | yes | characteristic |
| 125 | C3×C42 | C22×C4 | 1 | 1 | yes | characteristic |
| 126 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 127 | C3×C42 | #41 | 1 | 1 | yes | characteristic |
| 128 | #217 | — | 2 | 1 | no | — |
| 129 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 130 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 131 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 132 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 133 | C4⋊Dic3 | C42 | 1 | 1 | yes | characteristic |
| 134 | C4⋊Dic3 | C42 | 1 | 1 | yes | characteristic |
| 135 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 136 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 137 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 138 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 139 | C4×Dic3 | — | 2 | 1 | no | — |
| 140 | #208 | — | 4 | 2 | no | — |
| 141 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 142 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 143 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 144 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 145 | ΓL(1,𝔽25) | — | 4 | 2 | no | — |
| 146 | D3×C8 | — | 4 | 2 | no | — |
| 147 | C2×M16 | — | 6 | 1 | no | — |
| 148 | C2×M16 | — | 6 | 1 | no | — |
| 149 | C22×C8 | — | 2 | 1 | no | — |
| 150 | C22×C8 | — | 6 | 1 | no | — |
| 151 | C22×C8 | #67 | 1 | 1 | yes | characteristic |
| 152 | C22×C8 | #67 | 1 | 1 | yes | characteristic |
| 153 | #126 | — | 6 | 1 | no | — |
| 154 | #125 | — | 3 | 1 | no | — |
| 155 | #124 | — | 3 | 1 | no | — |
| 156 | #123 | — | 6 | 1 | no | — |
| 157 | C22⋊Q8 | — | 3 | 1 | no | — |
| 158 | #121 | — | 3 | 1 | no | — |
| 159 | C4×Q8 | — | 3 | 1 | no | — |
| 160 | C4×D4 | — | 3 | 1 | no | — |
| 161 | C4×D4 | — | 6 | 1 | no | — |
| 162 | #117 | — | 6 | 1 | no | — |
| 163 | C2×C42 | — | 2 | 1 | no | — |
| 164 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 165 | C4⋊C8 | — | 3 | 1 | no | — |
| 166 | C4⋊C8 | — | 3 | 1 | no | — |
| 167 | C4⋊C8 | — | 6 | 1 | no | — |
| 168 | C4⋊C8 | — | 6 | 1 | no | — |
| 169 | C4⋊C8 | — | 6 | 1 | no | — |
| 170 | C22⋊C8 | — | 3 | 2 | no | — |
| 171 | C22⋊C8 | — | 6 | 1 | no | — |
| 172 | C22⋊C8 | — | 6 | 1 | no | — |
| 173 | C22⋊C8 | — | 6 | 1 | no | — |
| 174 | #97 | — | 2 | 4 | no | — |
| 175 | #97 | — | 2 | 1 | no | — |
| 176 | #97 | — | 3 | 2 | no | — |
| 177 | #97 | — | 6 | 1 | no | — |
| 178 | #97 | — | 6 | 1 | no | — |
| 179 | #97 | C4×D3 | 1 | 2 | yes | — |
| 180 | C4×C8 | — | 2 | 4 | no | — |
| 181 | C4×C8 | — | 6 | 1 | no | — |
| 182 | C4×C8 | — | 6 | 1 | no | — |
| 183 | C4×C8 | — | 6 | 1 | no | — |
| 184 | C4×C8 | C4×D3 | 1 | 1 | yes | characteristic |
| 185 | C4×C8 | C4×D3 | 1 | 1 | yes | characteristic |
| 186 | C4×C8 | D12 | 1 | 1 | yes | characteristic |
| 187 | C4×C8 | D12 | 1 | 1 | yes | characteristic |
| 188 | #95 | — | 2 | 1 | no | — |
| 189 | #95 | C4×D3 | 1 | 2 | yes | — |
| 190 | C23×C3 | C4×D4 | 1 | 1 | yes | characteristic |
| 191 | C22×D3 | — | 2 | 1 | no | — |
| 192 | C2×C3×C4 | — | 2 | 2 | no | — |
| 193 | C2×C3×C4 | — | 2 | 1 | no | — |
| 194 | C2×C3×C4 | — | 2 | 1 | no | — |
| 195 | C2×C3×C4 | — | 2 | 4 | no | — |
| 196 | C2×C3×C4 | — | 4 | 1 | no | — |
| 197 | C2×C3×C4 | — | 4 | 2 | no | — |
| 198 | C2×C3×C4 | — | 4 | 2 | no | — |
| 199 | C2×C3×C4 | C2×C42 | 1 | 1 | yes | characteristic |
| 200 | C2×C3×C4 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 201 | C2×C3×C4 | #117 | 1 | 1 | yes | characteristic |
| 202 | C2×C3×C4 | C4×D4 | 1 | 1 | yes | characteristic |
| 203 | C2×C3×C4 | C4×D4 | 1 | 1 | yes | characteristic |
| 204 | C2×C3×C4 | C4×D4 | 1 | 1 | yes | characteristic |
| 205 | #67 | — | 4 | 2 | no | — |
| 206 | C2×Dic3 | — | 2 | 1 | no | — |
| 207 | C2×Dic3 | — | 2 | 1 | no | — |
| 208 | C2×Dic3 | — | 2 | 1 | no | — |
| 209 | D12 | — | 4 | 1 | no | — |
| 210 | C4×D3 | — | 4 | 1 | no | — |
| 211 | C4×D3 | — | 4 | 1 | no | — |
| 212 | Dic6 | — | 4 | 1 | no | — |
| 213 | C3×C8 | — | 2 | 4 | no | — |
| 214 | C3×C8 | — | 2 | 1 | no | — |
| 215 | C3×C8 | — | 2 | 1 | no | — |
| 216 | C3×C8 | #104 | 1 | 2 | yes | — |
| 217 | C3×C8 | #104 | 1 | 2 | yes | — |
| 218 | C3⋊C8 | — | 4 | 2 | no | — |
| 219 | C3⋊C8 | — | 4 | 2 | no | — |
| 220 | C3⋊C8 | — | 4 | 1 | no | — |
| 221 | C3⋊C8 | — | 4 | 1 | no | — |
| 222 | C2×Q8 | — | 3 | 1 | no | — |
| 223 | C2×D4 | — | 3 | 1 | no | — |
| 224 | C2×D4 | — | 6 | 1 | no | — |
| 225 | C22×C4 | — | 2 | 2 | no | — |
| 226 | C22×C4 | — | 6 | 1 | no | — |
| 227 | C22×C4 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 228 | C22×C4 | #235 | 1 | 1 | yes | characteristic |
| 229 | C22×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 230 | M16 | — | 12 | 2 | no | — |
| 231 | M16 | — | 12 | 2 | no | — |
| 232 | C2×C8 | — | 2 | 2 | no | — |
| 233 | C2×C8 | — | 2 | 2 | no | — |
| 234 | C2×C8 | — | 2 | 2 | no | — |
| 235 | C2×C8 | — | 2 | 2 | no | — |
| 236 | C2×C8 | — | 2 | 2 | no | — |
| 237 | C2×C8 | — | 6 | 2 | no | — |
| 238 | C2×C8 | — | 6 | 2 | no | — |
| 239 | C2×C8 | — | 6 | 1 | no | — |
| 240 | C2×C8 | — | 6 | 1 | no | — |
| 241 | C2×C8 | — | 12 | 2 | no | — |
| 242 | C2×C8 | (C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 243 | C2×C8 | (C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 244 | C2×C8 | (C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 245 | C2×C8 | (C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 246 | C4⋊C4 | — | 3 | 1 | no | — |
| 247 | C4⋊C4 | — | 3 | 1 | no | — |
| 248 | C4⋊C4 | — | 6 | 1 | no | — |
| 249 | C4⋊C4 | — | 6 | 1 | no | — |
| 250 | C4⋊C4 | — | 6 | 1 | no | — |
| 251 | C4⋊C4 | — | 6 | 1 | no | — |
| 252 | C22⋊C4 | — | 6 | 1 | no | — |
| 253 | C22⋊C4 | — | 6 | 1 | no | — |
| 254 | C22⋊C4 | — | 6 | 1 | no | — |
| 255 | C22⋊C4 | — | 6 | 1 | no | — |
| 256 | C22⋊C4 | — | 6 | 1 | no | — |
| 257 | C42 | — | 2 | 2 | no | — |
| 258 | C42 | — | 2 | 2 | no | — |
| 259 | C42 | — | 6 | 1 | no | — |
| 260 | C42 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 261 | C42 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 262 | C42 | C2×D12 | 1 | 1 | yes | characteristic |
| 263 | C42 | #235 | 1 | 1 | yes | characteristic |
| 264 | C22×C3 | — | 2 | 1 | no | — |
| 265 | C22×C3 | — | 2 | 1 | no | — |
| 266 | C22×C3 | C4×C22⋊C4 | 1 | 1 | yes | characteristic |
| 267 | C22×C3 | #444 | 1 | 2 | yes | — |
| 268 | C2×D3 | — | 4 | 1 | no | — |
| 269 | C2×D3 | — | 4 | 1 | no | — |
| 270 | C2×D3 | — | 4 | 1 | no | — |
| 271 | C3×C4 | — | 2 | 1 | no | — |
| 272 | C3×C4 | — | 2 | 1 | no | — |
| 273 | C3×C4 | — | 2 | 1 | no | — |
| 274 | C3×C4 | — | 2 | 1 | no | — |
| 275 | C3×C4 | — | 2 | 1 | no | — |
| 276 | C3×C4 | — | 4 | 4 | no | — |
| 277 | C3×C4 | C2×#104 | 1 | 1 | yes | characteristic |
| 278 | C3×C4 | C2×#104 | 1 | 1 | yes | characteristic |
| 279 | Dic3 | — | 4 | 1 | no | — |
| 280 | Dic3 | — | 4 | 1 | no | — |
| 281 | Dic3 | — | 4 | 1 | no | — |
| 282 | C23 | — | 6 | 1 | no | — |
| 283 | C23 | C4×#67 | 1 | 1 | yes | characteristic |
| 284 | Q8 | — | 12 | 1 | no | — |
| 285 | D4 | — | 12 | 1 | no | — |
| 286 | D4 | — | 12 | 2 | no | — |
| 287 | C2×C4 | — | 2 | 2 | no | — |
| 288 | C2×C4 | — | 2 | 1 | no | — |
| 289 | C2×C4 | — | 2 | 1 | no | — |
| 290 | C2×C4 | — | 2 | 4 | no | — |
| 291 | C2×C4 | — | 4 | 1 | no | — |
| 292 | C2×C4 | — | 4 | 2 | no | — |
| 293 | C2×C4 | — | 4 | 2 | no | — |
| 294 | C2×C4 | — | 6 | 1 | no | — |
| 295 | C2×C4 | — | 6 | 1 | no | — |
| 296 | C2×C4 | — | 6 | 1 | no | — |
| 297 | C2×C4 | — | 12 | 1 | no | — |
| 298 | C2×C4 | — | 12 | 1 | no | — |
| 299 | C2×C4 | C42×D3 | 1 | 1 | yes | characteristic |
| 300 | C2×C4 | #872 | 1 | 1 | yes | characteristic |
| 301 | C2×C4 | C4×D12 | 1 | 1 | yes | characteristic |
| 302 | C2×C4 | C4×D12 | 1 | 1 | yes | characteristic |
| 303 | C2×C4 | C2×(C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 304 | C2×C4 | C4×#67 | 1 | 1 | yes | characteristic |
| 305 | C8 | — | 2 | 4 | no | — |
| 306 | C8 | — | 2 | 1 | no | — |
| 307 | C8 | — | 2 | 1 | no | — |
| 308 | C8 | — | 12 | 2 | no | — |
| 309 | C8 | — | 12 | 2 | no | — |
| 310 | C8 | — | 12 | 1 | no | — |
| 311 | C8 | — | 12 | 1 | no | — |
| 312 | C8 | #805 | 1 | 2 | yes | — |
| 313 | C8 | #805 | 1 | 2 | yes | — |
| 314 | C2×C3 | — | 2 | 2 | no | — |
| 315 | C2×C3 | #1757 | 1 | 1 | yes | characteristic |
| 316 | C2×C3 | C4×#104 | 1 | 1 | yes | characteristic |
| 317 | C2×C3 | #1765 | 1 | 1 | yes | characteristic |
| 318 | D3 | — | 8 | 1 | no | — |
| 319 | C22 | — | 2 | 1 | no | — |
| 320 | C22 | — | 2 | 1 | no | — |
| 321 | C22 | — | 12 | 1 | no | — |
| 322 | C22 | — | 12 | 1 | no | — |
| 323 | C22 | — | 12 | 1 | no | — |
| 324 | C22 | C4×(C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 325 | C22 | #5145 | 1 | 2 | yes | — |
| 326 | C4 | — | 2 | 1 | no | — |
| 327 | C4 | — | 2 | 1 | no | — |
| 328 | C4 | — | 2 | 1 | no | — |
| 329 | C4 | — | 2 | 1 | no | — |
| 330 | C4 | — | 2 | 1 | no | — |
| 331 | C4 | — | 4 | 4 | no | — |
| 332 | C4 | — | 12 | 1 | no | — |
| 333 | C4 | — | 12 | 1 | no | — |
| 334 | C4 | — | 12 | 1 | no | — |
| 335 | C4 | C2×#805 | 1 | 1 | yes | characteristic |
| 336 | C4 | C2×#805 | 1 | 1 | yes | characteristic |
| 337 | C3 | #8249 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 338 | C2 | — | 2 | 2 | no | — |
| 339 | C2 | — | 24 | 1 | no | — |
| 340 | C2 | C4×#805 | 1 | 1 | yes | characteristic |
| 341 | C2 | #69888 | 1 | 1 | yes | characteristic |
| 342 | C2 | #69898 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta