| 1 | #5822 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#950 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #5748 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#907 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#413 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #5132 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C2×#822 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #4755 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #4754 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #4749 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #4748 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #3067 | — | 3 | 1 | no | maximal, Sylow |
| 13 | C2×C3×#41 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×#235 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×#235 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×C3×M16 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×C3×M16 | C22 | 1 | 1 | yes | characteristic |
| 18 | #951 | — | 2 | 1 | no | — |
| 19 | #950 | — | 2 | 2 | no | — |
| 20 | #950 | — | 2 | 1 | no | — |
| 21 | #950 | — | 2 | 1 | no | — |
| 22 | #950 | — | 2 | 1 | no | — |
| 23 | #950 | — | 2 | 1 | no | — |
| 24 | #949 | — | 2 | 1 | no | — |
| 25 | C2×#216 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #942 | C22 | 1 | 2 | yes | — |
| 27 | C2×#215 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C2×#214 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #932 | C22 | 1 | 2 | yes | — |
| 30 | C2×#213 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C2×#208 | C22 | 1 | 1 | yes | characteristic |
| 32 | C22×C3⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 33 | #909 | — | 2 | 1 | no | — |
| 34 | #909 | C22 | 1 | 2 | yes | — |
| 35 | #908 | — | 2 | 1 | no | — |
| 36 | #908 | C22 | 1 | 2 | yes | — |
| 37 | #907 | — | 2 | 1 | no | — |
| 38 | #907 | — | 2 | 1 | no | — |
| 39 | #907 | C22 | 1 | 2 | yes | — |
| 40 | #907 | C22 | 1 | 2 | yes | — |
| 41 | #904 | — | 2 | 2 | no | — |
| 42 | C2×ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 43 | C2×D3×C8 | — | 2 | 1 | no | — |
| 44 | C3×#101 | C22 | 1 | 2 | yes | complemented |
| 45 | C3×#100 | C22 | 1 | 2 | yes | complemented |
| 46 | #824 | C22 | 1 | 2 | yes | complemented |
| 47 | #823 | C22 | 1 | 2 | yes | complemented |
| 48 | #822 | C22 | 1 | 2 | yes | complemented |
| 49 | #822 | C22 | 1 | 2 | yes | complemented |
| 50 | #575 | — | 3 | 1 | no | — |
| 51 | #575 | — | 3 | 1 | no | — |
| 52 | C2×#135 | — | 3 | 1 | no | — |
| 53 | C2×#131 | — | 3 | 1 | no | — |
| 54 | #473 | — | 3 | 2 | no | — |
| 55 | #472 | — | 3 | 2 | no | — |
| 56 | #471 | — | 3 | 2 | no | — |
| 57 | #471 | — | 3 | 2 | no | — |
| 58 | C2×#108 | — | 3 | 1 | no | — |
| 59 | #413 | — | 3 | 1 | no | — |
| 60 | #413 | D3 | 1 | 1 | yes | characteristic, complemented |
| 61 | C3×#41 | — | 2 | 1 | no | — |
| 62 | C3×#41 | — | 2 | 1 | no | — |
| 63 | C3×#41 | — | 2 | 1 | no | — |
| 64 | C3×#41 | — | 2 | 1 | no | — |
| 65 | C2×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 66 | C2×C3×D4 | — | 2 | 1 | no | — |
| 67 | C2×C3×D4 | C23 | 1 | 1 | yes | characteristic |
| 68 | C22×C3×C4 | — | 2 | 1 | no | — |
| 69 | C22×C3×C4 | C23 | 1 | 1 | yes | characteristic |
| 70 | C2×#67 | — | 2 | 1 | no | — |
| 71 | C2×#67 | — | 2 | 1 | no | — |
| 72 | #235 | — | 2 | 1 | no | — |
| 73 | #235 | — | 2 | 1 | no | — |
| 74 | #235 | — | 2 | 1 | no | — |
| 75 | #235 | — | 2 | 1 | no | — |
| 76 | #235 | — | 2 | 1 | no | — |
| 77 | #235 | — | 2 | 1 | no | — |
| 78 | #235 | D4 | 1 | 2 | yes | — |
| 79 | #235 | C23 | 1 | 2 | yes | — |
| 80 | C2×D12 | D4 | 1 | 1 | yes | characteristic |
| 81 | C2×D12 | C23 | 1 | 1 | yes | characteristic |
| 82 | C2×C4×D3 | — | 2 | 1 | no | — |
| 83 | C2×C4×D3 | — | 2 | 1 | no | — |
| 84 | C2×Dic6 | D4 | 1 | 1 | yes | characteristic |
| 85 | C2×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 86 | C3×M16 | — | 2 | 1 | no | — |
| 87 | C3×M16 | — | 2 | 1 | no | — |
| 88 | C3×M16 | C23 | 1 | 2 | yes | — |
| 89 | C3×M16 | C23 | 1 | 2 | yes | — |
| 90 | C2×C3×C8 | — | 2 | 1 | no | — |
| 91 | C2×C3×C8 | — | 2 | 1 | no | — |
| 92 | #216 | — | 2 | 2 | no | — |
| 93 | #216 | — | 2 | 1 | no | — |
| 94 | #216 | — | 2 | 1 | no | — |
| 95 | #215 | — | 2 | 2 | no | — |
| 96 | #215 | — | 2 | 1 | no | — |
| 97 | #215 | — | 2 | 1 | no | — |
| 98 | #214 | — | 2 | 2 | no | — |
| 99 | #214 | — | 2 | 1 | no | — |
| 100 | #214 | — | 2 | 1 | no | — |
| 101 | #213 | — | 2 | 2 | no | — |
| 102 | #213 | — | 2 | 1 | no | — |
| 103 | #213 | — | 2 | 1 | no | — |
| 104 | #208 | — | 2 | 1 | no | — |
| 105 | #208 | C23 | 1 | 2 | yes | — |
| 106 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 107 | C2×C3⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 108 | C2×C3⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 109 | C2×C3⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 110 | C2×C3⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 111 | C2×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 112 | C2×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 113 | Dic12 | — | 2 | 2 | no | — |
| 114 | D24 | — | 2 | 2 | no | — |
| 115 | #204 | — | 2 | 2 | no | — |
| 116 | #204 | — | 2 | 2 | no | — |
| 117 | ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 118 | ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 119 | D3×C8 | — | 2 | 2 | no | — |
| 120 | D3×C8 | — | 2 | 2 | no | — |
| 121 | C2×#41 | — | 3 | 1 | no | — |
| 122 | C2×#41 | — | 3 | 1 | no | — |
| 123 | C2×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 124 | #137 | — | 3 | 2 | no | — |
| 125 | #137 | — | 3 | 2 | no | — |
| 126 | #137 | — | 6 | 1 | no | — |
| 127 | #137 | — | 6 | 1 | no | — |
| 128 | AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 129 | AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 130 | AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 131 | AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 132 | #135 | — | 6 | 2 | no | — |
| 133 | #135 | — | 6 | 1 | no | — |
| 134 | #135 | — | 6 | 1 | no | — |
| 135 | #135 | — | 6 | 1 | no | — |
| 136 | #135 | — | 6 | 1 | no | — |
| 137 | #135 | — | 6 | 2 | no | — |
| 138 | C2×Q16 | — | 3 | 1 | no | — |
| 139 | C2×SD16 | — | 3 | 1 | no | — |
| 140 | C2×SD16 | — | 3 | 1 | no | — |
| 141 | C2×D8 | — | 3 | 1 | no | — |
| 142 | #131 | — | 3 | 2 | no | — |
| 143 | #131 | — | 3 | 2 | no | — |
| 144 | #131 | — | 6 | 1 | no | — |
| 145 | #131 | — | 6 | 1 | no | — |
| 146 | C2×M16 | — | 3 | 1 | no | — |
| 147 | C2×M16 | — | 6 | 1 | no | — |
| 148 | C2×M16 | C2×D3 | 1 | 1 | yes | characteristic |
| 149 | C2×M16 | C2×D3 | 1 | 1 | yes | characteristic |
| 150 | C22×C8 | — | 3 | 1 | no | — |
| 151 | C22×C8 | — | 6 | 1 | no | — |
| 152 | #108 | — | 3 | 2 | no | — |
| 153 | #108 | — | 3 | 2 | no | — |
| 154 | #101 | — | 3 | 2 | no | — |
| 155 | #101 | C2×D3 | 1 | 2 | yes | complemented |
| 156 | #100 | — | 3 | 2 | no | — |
| 157 | #100 | C2×D3 | 1 | 2 | yes | complemented |
| 158 | C23×C3 | — | 2 | 1 | no | — |
| 159 | C23×C3 | #41 | 1 | 1 | yes | characteristic |
| 160 | C22×D3 | — | 2 | 1 | no | — |
| 161 | C22×D3 | — | 2 | 1 | no | — |
| 162 | C3×Q8 | — | 2 | 1 | no | — |
| 163 | C3×Q8 | — | 2 | 1 | no | — |
| 164 | C3×D4 | — | 2 | 1 | no | — |
| 165 | C3×D4 | — | 2 | 1 | no | — |
| 166 | C3×D4 | — | 4 | 1 | no | — |
| 167 | C3×D4 | — | 4 | 1 | no | — |
| 168 | C2×C3×C4 | — | 2 | 1 | no | — |
| 169 | C2×C3×C4 | — | 4 | 1 | no | — |
| 170 | C2×C3×C4 | — | 4 | 1 | no | — |
| 171 | C2×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 172 | C2×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 173 | C2×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 174 | C2×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 175 | C2×C3×C4 | #41 | 1 | 1 | yes | characteristic |
| 176 | C2×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 177 | #67 | — | 2 | 2 | no | — |
| 178 | #67 | — | 2 | 2 | no | — |
| 179 | #67 | — | 4 | 1 | no | — |
| 180 | #67 | — | 4 | 1 | no | — |
| 181 | C2×Dic3 | — | 2 | 1 | no | — |
| 182 | C2×Dic3 | — | 2 | 1 | no | — |
| 183 | D12 | — | 2 | 1 | no | — |
| 184 | D12 | — | 2 | 1 | no | — |
| 185 | D12 | — | 2 | 1 | no | — |
| 186 | D12 | C2×D4 | 1 | 2 | yes | — |
| 187 | C4×D3 | — | 2 | 2 | no | — |
| 188 | C4×D3 | — | 2 | 2 | no | — |
| 189 | C4×D3 | — | 4 | 1 | no | — |
| 190 | C4×D3 | — | 4 | 1 | no | — |
| 191 | Dic6 | — | 2 | 1 | no | — |
| 192 | Dic6 | — | 2 | 1 | no | — |
| 193 | Dic6 | — | 2 | 1 | no | — |
| 194 | Dic6 | C2×D4 | 1 | 2 | yes | — |
| 195 | C3×C8 | — | 2 | 2 | no | — |
| 196 | C3×C8 | — | 2 | 2 | no | — |
| 197 | C3⋊C8 | — | 2 | 2 | no | — |
| 198 | C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 199 | C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 200 | C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 201 | C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 202 | #41 | — | 2 | 1 | no | — |
| 203 | #41 | — | 2 | 1 | no | — |
| 204 | #41 | — | 2 | 1 | no | — |
| 205 | #41 | — | 2 | 1 | no | — |
| 206 | #41 | — | 3 | 2 | no | — |
| 207 | #41 | — | 3 | 2 | no | — |
| 208 | #41 | — | 6 | 1 | no | — |
| 209 | #41 | — | 6 | 1 | no | — |
| 210 | #41 | — | 6 | 1 | no | — |
| 211 | #41 | — | 6 | 1 | no | — |
| 212 | #41 | — | 6 | 1 | no | — |
| 213 | #41 | — | 6 | 1 | no | — |
| 214 | C2×Q8 | — | 3 | 1 | no | — |
| 215 | C2×Q8 | — | 3 | 1 | no | — |
| 216 | C2×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 217 | C2×D4 | — | 2 | 1 | no | — |
| 218 | C2×D4 | — | 3 | 1 | no | — |
| 219 | C2×D4 | — | 3 | 1 | no | — |
| 220 | C2×D4 | — | 6 | 1 | no | — |
| 221 | C2×D4 | — | 6 | 1 | no | — |
| 222 | C2×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 223 | C22×C4 | — | 2 | 1 | no | — |
| 224 | C22×C4 | — | 6 | 1 | no | — |
| 225 | C22×C4 | — | 6 | 1 | no | — |
| 226 | C22×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 227 | Q16 | — | 6 | 2 | no | — |
| 228 | Q16 | — | 6 | 1 | no | — |
| 229 | Q16 | — | 6 | 1 | no | — |
| 230 | Q16 | — | 6 | 2 | no | — |
| 231 | SD16 | — | 6 | 2 | no | — |
| 232 | SD16 | — | 6 | 2 | no | — |
| 233 | SD16 | — | 6 | 1 | no | — |
| 234 | SD16 | — | 6 | 1 | no | — |
| 235 | SD16 | — | 6 | 1 | no | — |
| 236 | SD16 | — | 6 | 1 | no | — |
| 237 | SD16 | — | 6 | 2 | no | — |
| 238 | SD16 | — | 6 | 2 | no | — |
| 239 | D8 | — | 6 | 2 | no | — |
| 240 | D8 | — | 6 | 1 | no | — |
| 241 | D8 | — | 6 | 1 | no | — |
| 242 | D8 | — | 6 | 2 | no | — |
| 243 | M16 | — | 2 | 1 | no | — |
| 244 | M16 | — | 2 | 1 | no | — |
| 245 | M16 | — | 3 | 2 | no | — |
| 246 | M16 | — | 6 | 2 | no | — |
| 247 | M16 | — | 6 | 2 | no | — |
| 248 | M16 | — | 6 | 1 | no | — |
| 249 | M16 | C22×D3 | 1 | 2 | yes | — |
| 250 | M16 | C22×D3 | 1 | 2 | yes | — |
| 251 | C2×C8 | — | 2 | 1 | no | — |
| 252 | C2×C8 | — | 2 | 1 | no | — |
| 253 | C2×C8 | — | 3 | 1 | no | — |
| 254 | C2×C8 | — | 3 | 1 | no | — |
| 255 | C2×C8 | — | 3 | 1 | no | — |
| 256 | C2×C8 | — | 3 | 1 | no | — |
| 257 | C2×C8 | — | 3 | 1 | no | — |
| 258 | C2×C8 | — | 3 | 1 | no | — |
| 259 | C2×C8 | — | 6 | 2 | no | — |
| 260 | C2×C8 | — | 6 | 2 | no | — |
| 261 | C2×C8 | — | 6 | 1 | no | — |
| 262 | C22×C3 | — | 4 | 1 | no | — |
| 263 | C22×C3 | — | 4 | 1 | no | — |
| 264 | C22×C3 | — | 8 | 1 | no | — |
| 265 | C22×C3 | #121 | 1 | 1 | yes | characteristic |
| 266 | C22×C3 | #121 | 1 | 1 | yes | characteristic |
| 267 | C22×C3 | C2×#41 | 1 | 1 | yes | characteristic |
| 268 | C2×D3 | — | 2 | 2 | no | — |
| 269 | C2×D3 | — | 4 | 2 | no | — |
| 270 | C2×D3 | — | 4 | 1 | no | — |
| 271 | C2×D3 | — | 8 | 1 | no | — |
| 272 | C3×C4 | — | 4 | 1 | no | — |
| 273 | C3×C4 | #121 | 1 | 1 | yes | characteristic |
| 274 | C3×C4 | #121 | 1 | 1 | yes | characteristic |
| 275 | C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 276 | C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 277 | Dic3 | — | 2 | 2 | no | — |
| 278 | Dic3 | — | 4 | 1 | no | — |
| 279 | C23 | — | 2 | 1 | no | — |
| 280 | C23 | — | 6 | 1 | no | — |
| 281 | C23 | — | 6 | 1 | no | — |
| 282 | C23 | #235 | 1 | 1 | yes | characteristic |
| 283 | Q8 | — | 2 | 1 | no | — |
| 284 | Q8 | — | 2 | 1 | no | — |
| 285 | Q8 | — | 3 | 2 | no | — |
| 286 | Q8 | — | 6 | 1 | no | — |
| 287 | Q8 | — | 6 | 1 | no | — |
| 288 | Q8 | — | 6 | 1 | no | — |
| 289 | D4 | — | 2 | 1 | no | — |
| 290 | D4 | — | 2 | 1 | no | — |
| 291 | D4 | — | 3 | 2 | no | — |
| 292 | D4 | — | 4 | 1 | no | — |
| 293 | D4 | — | 4 | 1 | no | — |
| 294 | D4 | — | 6 | 2 | no | — |
| 295 | D4 | — | 6 | 2 | no | — |
| 296 | D4 | — | 6 | 1 | no | — |
| 297 | D4 | — | 6 | 1 | no | — |
| 298 | D4 | — | 6 | 1 | no | — |
| 299 | D4 | — | 12 | 1 | no | — |
| 300 | D4 | — | 12 | 1 | no | — |
| 301 | C2×C4 | — | 2 | 1 | no | — |
| 302 | C2×C4 | — | 4 | 1 | no | — |
| 303 | C2×C4 | — | 4 | 1 | no | — |
| 304 | C2×C4 | — | 6 | 1 | no | — |
| 305 | C2×C4 | — | 6 | 2 | no | — |
| 306 | C2×C4 | — | 6 | 2 | no | — |
| 307 | C2×C4 | — | 6 | 1 | no | — |
| 308 | C2×C4 | — | 12 | 1 | no | — |
| 309 | C2×C4 | — | 12 | 1 | no | — |
| 310 | C2×C4 | #235 | 1 | 1 | yes | characteristic |
| 311 | C2×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 312 | C2×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 313 | C2×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 314 | C2×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 315 | C2×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 316 | C8 | — | 2 | 2 | no | — |
| 317 | C8 | — | 2 | 2 | no | — |
| 318 | C8 | — | 3 | 1 | no | — |
| 319 | C8 | — | 3 | 1 | no | — |
| 320 | C8 | — | 3 | 1 | no | — |
| 321 | C8 | — | 3 | 1 | no | — |
| 322 | C8 | — | 6 | 2 | no | — |
| 323 | C2×C3 | — | 2 | 1 | no | — |
| 324 | C2×C3 | — | 2 | 1 | no | — |
| 325 | C2×C3 | — | 2 | 1 | no | — |
| 326 | C2×C3 | — | 8 | 1 | no | — |
| 327 | C2×C3 | C2×#121 | 1 | 1 | yes | characteristic |
| 328 | D3 | — | 4 | 2 | no | — |
| 329 | D3 | — | 8 | 1 | no | — |
| 330 | C22 | — | 4 | 1 | no | — |
| 331 | C22 | — | 4 | 1 | no | — |
| 332 | C22 | — | 6 | 2 | no | — |
| 333 | C22 | — | 8 | 1 | no | — |
| 334 | C22 | — | 12 | 2 | no | — |
| 335 | C22 | — | 12 | 1 | no | — |
| 336 | C22 | — | 24 | 1 | no | — |
| 337 | C22 | #884 | 1 | 1 | yes | characteristic |
| 338 | C22 | #884 | 1 | 1 | yes | characteristic |
| 339 | C22 | C2×#235 | 1 | 1 | yes | characteristic |
| 340 | C4 | — | 4 | 1 | no | — |
| 341 | C4 | — | 6 | 2 | no | — |
| 342 | C4 | — | 12 | 1 | no | — |
| 343 | C4 | #884 | 1 | 1 | yes | characteristic |
| 344 | C4 | #884 | 1 | 1 | yes | characteristic |
| 345 | C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 346 | C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 347 | C3 | #3067 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 348 | C2 | — | 2 | 1 | no | — |
| 349 | C2 | — | 2 | 1 | no | — |
| 350 | C2 | — | 2 | 1 | no | — |
| 351 | C2 | — | 8 | 1 | no | — |
| 352 | C2 | — | 12 | 2 | no | — |
| 353 | C2 | — | 24 | 1 | no | — |
| 354 | C2 | C2×#884 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta