| 1 | #83887 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #79252 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C2×C3×#362 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#4565 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #71435 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #71427 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #70685 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #69267 | C2 | 1 | 8 | yes | maximal, complemented |
| 9 | #33658 | — | 3 | 1 | no | maximal, Sylow |
| 10 | C22×C3×Q16 | C22 | 1 | 1 | yes | characteristic |
| 11 | #5816 | — | 2 | 1 | no | — |
| 12 | #5745 | — | 2 | 1 | no | — |
| 13 | C2×#901 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×C3×M32 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×C3×#108 | C22 | 1 | 1 | yes | characteristic |
| 16 | #5225 | — | 2 | 1 | no | — |
| 17 | #5189 | C22 | 1 | 4 | yes | — |
| 18 | #5188 | — | 2 | 2 | no | — |
| 19 | #5124 | — | 2 | 1 | no | — |
| 20 | C2×#819 | C22 | 1 | 1 | yes | characteristic |
| 21 | #5106 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#812 | C22 | 1 | 1 | yes | characteristic |
| 23 | #4893 | C22 | 1 | 4 | yes | — |
| 24 | D3×#108 | — | 2 | 2 | no | — |
| 25 | C3×#362 | C22 | 1 | 4 | yes | — |
| 26 | #4565 | C22 | 1 | 4 | yes | — |
| 27 | #4514 | C22 | 1 | 4 | yes | — |
| 28 | #4513 | C22 | 1 | 4 | yes | — |
| 29 | #4494 | C22 | 1 | 4 | yes | — |
| 30 | #3059 | — | 3 | 1 | no | — |
| 31 | #2916 | — | 3 | 1 | no | — |
| 32 | #2239 | — | 3 | 8 | no | — |
| 33 | #2155 | — | 3 | 1 | no | — |
| 34 | #2155 | — | 3 | 1 | no | — |
| 35 | C2×#362 | — | 3 | 1 | no | — |
| 36 | C2×#362 | D3 | 1 | 1 | yes | characteristic, complemented |
| 37 | #2115 | — | 3 | 1 | no | — |
| 38 | C22×C3×Q8 | — | 2 | 1 | no | — |
| 39 | C2×#235 | D4 | 1 | 1 | yes | characteristic |
| 40 | C2×C3×Q16 | — | 2 | 1 | no | — |
| 41 | C2×C3×Q16 | — | 2 | 1 | no | — |
| 42 | C2×C3×Q16 | — | 2 | 1 | no | — |
| 43 | C2×C3×Q16 | — | 2 | 1 | no | — |
| 44 | C2×C3×Q16 | — | 2 | 1 | no | — |
| 45 | C2×C3×Q16 | C23 | 1 | 2 | yes | — |
| 46 | C2×C3×M16 | — | 2 | 1 | no | — |
| 47 | C22×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 48 | #947 | — | 4 | 1 | no | — |
| 49 | #946 | — | 2 | 4 | no | — |
| 50 | #944 | — | 4 | 1 | no | — |
| 51 | #929 | — | 4 | 2 | no | — |
| 52 | #926 | — | 2 | 1 | no | — |
| 53 | C2×#208 | — | 2 | 1 | no | — |
| 54 | C2×#208 | D4 | 1 | 1 | yes | characteristic |
| 55 | #907 | — | 4 | 2 | no | — |
| 56 | D3×M16 | — | 2 | 4 | no | — |
| 57 | #901 | — | 2 | 1 | no | — |
| 58 | #901 | — | 2 | 1 | no | — |
| 59 | #901 | — | 2 | 1 | no | — |
| 60 | #901 | — | 2 | 1 | no | — |
| 61 | #901 | — | 4 | 2 | no | — |
| 62 | C2×ΓL(1,𝔽25) | C23 | 1 | 2 | yes | — |
| 63 | C2×D3×C8 | D4 | 1 | 2 | yes | — |
| 64 | C3×M32 | — | 2 | 1 | no | — |
| 65 | C3×M32 | C23 | 1 | 2 | yes | — |
| 66 | C2×C3×C16 | — | 2 | 1 | no | — |
| 67 | C3×#108 | — | 2 | 1 | no | — |
| 68 | C3×#108 | C23 | 1 | 2 | yes | — |
| 69 | #835 | — | 2 | 4 | no | — |
| 70 | #822 | — | 2 | 4 | no | — |
| 71 | #819 | — | 2 | 1 | no | — |
| 72 | #819 | C23 | 1 | 2 | yes | — |
| 73 | #818 | — | 2 | 1 | no | — |
| 74 | #817 | C23 | 1 | 2 | yes | — |
| 75 | #812 | — | 2 | 1 | no | — |
| 76 | #812 | C23 | 1 | 2 | yes | — |
| 77 | C2×C3⋊C16 | — | 2 | 1 | no | — |
| 78 | C22×Q16 | C2×D3 | 1 | 1 | yes | characteristic |
| 79 | #568 | — | 6 | 1 | no | — |
| 80 | C2×#131 | — | 3 | 1 | no | — |
| 81 | #536 | — | 6 | 1 | no | — |
| 82 | C2×M32 | — | 3 | 1 | no | — |
| 83 | C2×M32 | C2×D3 | 1 | 1 | yes | characteristic |
| 84 | #470 | — | 3 | 4 | no | — |
| 85 | #467 | — | 6 | 2 | no | — |
| 86 | #430 | — | 3 | 4 | no | — |
| 87 | #430 | — | 6 | 1 | no | — |
| 88 | C2×#108 | — | 3 | 1 | no | — |
| 89 | C2×#108 | — | 6 | 2 | no | — |
| 90 | C2×#108 | C2×D3 | 1 | 1 | yes | characteristic |
| 91 | #427 | — | 3 | 1 | no | — |
| 92 | #419 | — | 6 | 1 | no | — |
| 93 | #365 | — | 3 | 4 | no | — |
| 94 | #365 | — | 3 | 4 | no | — |
| 95 | #362 | — | 3 | 4 | no | — |
| 96 | #362 | C2×D3 | 1 | 4 | yes | — |
| 97 | #349 | — | 3 | 4 | no | — |
| 98 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 99 | C2×C3×Q8 | — | 4 | 1 | no | — |
| 100 | C2×C3×Q8 | — | 4 | 1 | no | — |
| 101 | C2×C3×Q8 | — | 4 | 1 | no | — |
| 102 | C2×C3×Q8 | — | 4 | 1 | no | — |
| 103 | C2×C3×Q8 | — | 4 | 1 | no | — |
| 104 | C22×C3×C4 | — | 4 | 1 | no | — |
| 105 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 106 | C2×#67 | SD16 | 1 | 2 | yes | — |
| 107 | #235 | — | 2 | 1 | no | — |
| 108 | #235 | — | 2 | 1 | no | — |
| 109 | #235 | — | 2 | 1 | no | — |
| 110 | #235 | — | 2 | 1 | no | — |
| 111 | C2×D12 | SD16 | 1 | 1 | yes | characteristic |
| 112 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 113 | C2×Dic6 | SD16 | 1 | 1 | yes | characteristic |
| 114 | C3×Q16 | — | 2 | 2 | no | — |
| 115 | C3×Q16 | — | 2 | 2 | no | — |
| 116 | C3×Q16 | — | 4 | 1 | no | — |
| 117 | C3×Q16 | — | 4 | 1 | no | — |
| 118 | C3×M16 | — | 2 | 2 | no | — |
| 119 | C3×M16 | — | 4 | 1 | no | — |
| 120 | C2×C3×C8 | — | 4 | 1 | no | — |
| 121 | C2×C3×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 122 | C2×C3×C8 | #41 | 1 | 1 | yes | characteristic |
| 123 | C2×C3×C8 | #41 | 1 | 1 | yes | characteristic |
| 124 | C2×C3×C8 | #41 | 1 | 1 | yes | characteristic |
| 125 | C2×C3×C8 | #41 | 1 | 1 | yes | characteristic |
| 126 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 127 | #217 | — | 4 | 1 | no | — |
| 128 | (C2×D3)⋊C4 | — | 4 | 4 | no | — |
| 129 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 130 | Dic3⋊C4 | — | 4 | 4 | no | — |
| 131 | C4×Dic3 | — | 4 | 1 | no | — |
| 132 | #208 | — | 2 | 1 | no | — |
| 133 | #208 | — | 2 | 1 | no | — |
| 134 | #208 | — | 2 | 2 | no | — |
| 135 | #208 | — | 4 | 1 | no | — |
| 136 | C2×C3⋊C8 | — | 4 | 1 | no | — |
| 137 | C2×C3⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 138 | ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 139 | ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 140 | ΓL(1,𝔽25) | — | 4 | 4 | no | — |
| 141 | D3×C8 | — | 2 | 2 | no | — |
| 142 | D3×C8 | — | 2 | 2 | no | — |
| 143 | D3×C8 | — | 4 | 4 | no | — |
| 144 | C3×C16 | — | 2 | 2 | no | — |
| 145 | C3⋊C16 | — | 2 | 2 | no | — |
| 146 | C2×#41 | — | 3 | 1 | no | — |
| 147 | C22×Q8 | — | 2 | 1 | no | — |
| 148 | C2×Q16 | — | 2 | 1 | no | — |
| 149 | C2×Q16 | — | 2 | 1 | no | — |
| 150 | C2×Q16 | — | 2 | 1 | no | — |
| 151 | C2×Q16 | — | 2 | 1 | no | — |
| 152 | C2×Q16 | — | 2 | 1 | no | — |
| 153 | C2×Q16 | C22×D3 | 1 | 2 | yes | — |
| 154 | #131 | — | 6 | 1 | no | — |
| 155 | #131 | — | 6 | 1 | no | — |
| 156 | #131 | — | 6 | 1 | no | — |
| 157 | #131 | — | 6 | 1 | no | — |
| 158 | #131 | — | 12 | 2 | no | — |
| 159 | #131 | — | 12 | 2 | no | — |
| 160 | C2×M16 | — | 2 | 1 | no | — |
| 161 | C2×M16 | — | 3 | 1 | no | — |
| 162 | C2×M16 | — | 3 | 2 | no | — |
| 163 | C2×M16 | — | 6 | 4 | no | — |
| 164 | C2×M16 | — | 6 | 1 | no | — |
| 165 | C22×C8 | — | 3 | 2 | no | — |
| 166 | C22×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 167 | C4⋊Q8 | — | 12 | 1 | no | — |
| 168 | #124 | — | 12 | 1 | no | — |
| 169 | #123 | — | 12 | 2 | no | — |
| 170 | C22⋊Q8 | — | 6 | 4 | no | — |
| 171 | #117 | — | 6 | 1 | no | — |
| 172 | M32 | — | 2 | 1 | no | — |
| 173 | M32 | — | 3 | 2 | no | — |
| 174 | M32 | — | 6 | 1 | no | — |
| 175 | M32 | C22×D3 | 1 | 2 | yes | — |
| 176 | C2×C16 | — | 2 | 1 | no | — |
| 177 | C2×C16 | — | 6 | 1 | no | — |
| 178 | #108 | — | 2 | 1 | no | — |
| 179 | #108 | — | 3 | 2 | no | — |
| 180 | #108 | — | 6 | 4 | no | — |
| 181 | #108 | — | 6 | 1 | no | — |
| 182 | #108 | C22×D3 | 1 | 2 | yes | — |
| 183 | #107 | — | 6 | 1 | no | — |
| 184 | #106 | — | 3 | 2 | no | — |
| 185 | #103 | — | 6 | 4 | no | — |
| 186 | C23×C3 | C2×SD16 | 1 | 1 | yes | characteristic |
| 187 | C22×D3 | C2×SD16 | 1 | 2 | yes | — |
| 188 | C3×Q8 | — | 4 | 2 | no | — |
| 189 | C3×Q8 | — | 4 | 2 | no | — |
| 190 | C3×Q8 | — | 8 | 1 | no | — |
| 191 | C3×Q8 | — | 8 | 1 | no | — |
| 192 | C2×C3×C4 | — | 4 | 2 | no | — |
| 193 | C2×C3×C4 | — | 8 | 1 | no | — |
| 194 | C2×C3×C4 | — | 8 | 1 | no | — |
| 195 | C2×C3×C4 | #123 | 1 | 1 | yes | characteristic |
| 196 | C2×C3×C4 | #123 | 1 | 1 | yes | characteristic |
| 197 | C2×C3×C4 | C2×SD16 | 1 | 1 | yes | characteristic |
| 198 | C2×C3×C4 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 199 | C2×C3×C4 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 200 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 201 | #67 | — | 2 | 2 | no | — |
| 202 | #67 | — | 2 | 2 | no | — |
| 203 | C2×Dic3 | — | 4 | 2 | no | — |
| 204 | C2×Dic3 | C2×SD16 | 1 | 2 | yes | — |
| 205 | D12 | — | 2 | 1 | no | — |
| 206 | D12 | — | 2 | 1 | no | — |
| 207 | C4×D3 | — | 2 | 2 | no | — |
| 208 | C4×D3 | — | 2 | 2 | no | — |
| 209 | Dic6 | — | 2 | 1 | no | — |
| 210 | Dic6 | — | 2 | 1 | no | — |
| 211 | C3×C8 | — | 4 | 2 | no | — |
| 212 | C3×C8 | #123 | 1 | 1 | yes | characteristic |
| 213 | C3×C8 | #123 | 1 | 1 | yes | characteristic |
| 214 | C3×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 215 | C3×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 216 | C3⋊C8 | — | 2 | 2 | no | — |
| 217 | C3⋊C8 | — | 4 | 2 | no | — |
| 218 | #41 | — | 6 | 1 | no | — |
| 219 | #41 | — | 6 | 1 | no | — |
| 220 | #41 | — | 6 | 1 | no | — |
| 221 | #41 | — | 6 | 1 | no | — |
| 222 | C2×Q8 | — | 2 | 2 | no | — |
| 223 | C2×Q8 | — | 3 | 1 | no | — |
| 224 | C2×Q8 | — | 4 | 1 | no | — |
| 225 | C2×Q8 | — | 4 | 1 | no | — |
| 226 | C2×Q8 | — | 4 | 1 | no | — |
| 227 | C2×Q8 | — | 4 | 1 | no | — |
| 228 | C2×Q8 | — | 4 | 1 | no | — |
| 229 | C2×D4 | — | 3 | 2 | no | — |
| 230 | C2×D4 | — | 3 | 1 | no | — |
| 231 | C22×C4 | — | 3 | 2 | no | — |
| 232 | C22×C4 | — | 4 | 1 | no | — |
| 233 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 234 | Q16 | — | 2 | 2 | no | — |
| 235 | Q16 | — | 2 | 2 | no | — |
| 236 | Q16 | — | 4 | 1 | no | — |
| 237 | Q16 | — | 4 | 1 | no | — |
| 238 | M16 | — | 2 | 2 | no | — |
| 239 | M16 | — | 4 | 1 | no | — |
| 240 | M16 | — | 6 | 1 | no | — |
| 241 | M16 | — | 6 | 1 | no | — |
| 242 | M16 | — | 6 | 2 | no | — |
| 243 | M16 | — | 6 | 2 | no | — |
| 244 | M16 | — | 6 | 2 | no | — |
| 245 | M16 | — | 12 | 4 | no | — |
| 246 | M16 | — | 12 | 1 | no | — |
| 247 | C2×C8 | — | 3 | 2 | no | — |
| 248 | C2×C8 | — | 4 | 1 | no | — |
| 249 | C2×C8 | — | 6 | 2 | no | — |
| 250 | C2×C8 | — | 6 | 2 | no | — |
| 251 | C2×C8 | — | 12 | 4 | no | — |
| 252 | C2×C8 | — | 12 | 1 | no | — |
| 253 | C2×C8 | #235 | 1 | 1 | yes | characteristic |
| 254 | C2×C8 | #235 | 1 | 1 | yes | characteristic |
| 255 | C2×C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 256 | C2×C8 | #237 | 1 | 1 | yes | characteristic |
| 257 | C2×C8 | #237 | 1 | 1 | yes | characteristic |
| 258 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 259 | C4⋊C4 | — | 6 | 2 | no | — |
| 260 | C4⋊C4 | — | 12 | 4 | no | — |
| 261 | C22⋊C4 | — | 12 | 4 | no | — |
| 262 | C22⋊C4 | — | 12 | 1 | no | — |
| 263 | C42 | — | 12 | 1 | no | — |
| 264 | C16 | — | 2 | 2 | no | — |
| 265 | C16 | — | 6 | 2 | no | — |
| 266 | C22×C3 | — | 4 | 1 | no | — |
| 267 | C22×C3 | #481 | 1 | 1 | yes | characteristic |
| 268 | C22×C3 | #481 | 1 | 1 | yes | characteristic |
| 269 | C22×C3 | C22×SD16 | 1 | 1 | yes | characteristic |
| 270 | C2×D3 | — | 2 | 2 | no | — |
| 271 | C2×D3 | — | 4 | 2 | no | — |
| 272 | C3×C4 | — | 8 | 2 | no | — |
| 273 | C3×C4 | #481 | 1 | 1 | yes | characteristic |
| 274 | C3×C4 | #481 | 1 | 1 | yes | characteristic |
| 275 | C3×C4 | C2×#123 | 1 | 1 | yes | characteristic |
| 276 | C3×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 277 | Dic3 | — | 2 | 2 | no | — |
| 278 | Dic3 | — | 8 | 2 | no | — |
| 279 | C23 | — | 3 | 2 | no | — |
| 280 | C23 | D3×SD16 | 1 | 1 | yes | characteristic |
| 281 | Q8 | — | 4 | 2 | no | — |
| 282 | Q8 | — | 4 | 2 | no | — |
| 283 | Q8 | — | 6 | 1 | no | — |
| 284 | Q8 | — | 6 | 1 | no | — |
| 285 | Q8 | — | 8 | 1 | no | — |
| 286 | Q8 | — | 8 | 1 | no | — |
| 287 | D4 | — | 6 | 2 | no | — |
| 288 | D4 | — | 6 | 2 | no | — |
| 289 | D4 | — | 6 | 1 | no | — |
| 290 | D4 | — | 6 | 1 | no | — |
| 291 | C2×C4 | — | 3 | 2 | no | — |
| 292 | C2×C4 | — | 4 | 2 | no | — |
| 293 | C2×C4 | — | 6 | 2 | no | — |
| 294 | C2×C4 | — | 6 | 2 | no | — |
| 295 | C2×C4 | — | 8 | 1 | no | — |
| 296 | C2×C4 | — | 8 | 1 | no | — |
| 297 | C2×C4 | — | 12 | 2 | no | — |
| 298 | C2×C4 | #883 | 1 | 1 | yes | characteristic |
| 299 | C2×C4 | #883 | 1 | 1 | yes | characteristic |
| 300 | C2×C4 | #911 | 1 | 1 | yes | characteristic |
| 301 | C2×C4 | #911 | 1 | 1 | yes | characteristic |
| 302 | C2×C4 | D3×SD16 | 1 | 1 | yes | characteristic |
| 303 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 304 | C8 | — | 4 | 2 | no | — |
| 305 | C8 | — | 6 | 2 | no | — |
| 306 | C8 | — | 12 | 2 | no | — |
| 307 | C8 | #883 | 1 | 1 | yes | characteristic |
| 308 | C8 | #883 | 1 | 1 | yes | characteristic |
| 309 | C8 | C2×#235 | 1 | 1 | yes | characteristic |
| 310 | C8 | C2×#237 | 1 | 1 | yes | characteristic |
| 311 | C2×C3 | — | 2 | 1 | no | — |
| 312 | C2×C3 | — | 2 | 1 | no | — |
| 313 | C2×C3 | — | 2 | 1 | no | — |
| 314 | C2×C3 | C2×#481 | 1 | 1 | yes | characteristic |
| 315 | D3 | — | 4 | 2 | no | — |
| 316 | C22 | — | 4 | 1 | no | — |
| 317 | C22 | — | 6 | 2 | no | — |
| 318 | C22 | — | 12 | 2 | no | — |
| 319 | C22 | #4777 | 1 | 1 | yes | characteristic |
| 320 | C22 | #4777 | 1 | 1 | yes | characteristic |
| 321 | C22 | C2×D3×SD16 | 1 | 1 | yes | characteristic |
| 322 | C4 | — | 6 | 2 | no | — |
| 323 | C4 | — | 8 | 2 | no | — |
| 324 | C4 | — | 24 | 2 | no | — |
| 325 | C4 | #4777 | 1 | 1 | yes | characteristic |
| 326 | C4 | #4777 | 1 | 1 | yes | characteristic |
| 327 | C4 | C2×#883 | 1 | 1 | yes | characteristic |
| 328 | C4 | C2×#911 | 1 | 1 | yes | characteristic |
| 329 | C3 | #33658 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 330 | C2 | — | 2 | 1 | no | — |
| 331 | C2 | — | 2 | 1 | no | — |
| 332 | C2 | — | 2 | 1 | no | — |
| 333 | C2 | — | 12 | 2 | no | — |
| 334 | C2 | C2×#4777 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta