| 1 | #13131803 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13131078 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#11718304 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13131066 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13129891 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13129887 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #13123739 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | C13×#575 | C4 | 1 | 1 | yes | characteristic |
| 9 | C2×#88202 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×#88202 | C22 | 1 | 1 | yes | characteristic |
| 11 | #11719162 | — | 2 | 2 | no | — |
| 12 | #11719162 | — | 2 | 2 | no | — |
| 13 | C2×#88106 | — | 2 | 2 | no | — |
| 14 | C2×#88106 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×#88106 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×#88106 | C22 | 1 | 1 | yes | characteristic |
| 17 | C22×#6092 | C22 | 1 | 1 | yes | characteristic |
| 18 | #11718897 | C4 | 1 | 1 | yes | characteristic |
| 19 | #11718897 | C4 | 1 | 1 | yes | characteristic |
| 20 | #11718858 | — | 2 | 2 | no | — |
| 21 | #11718857 | — | 2 | 2 | no | — |
| 22 | #11718786 | C4 | 1 | 1 | yes | characteristic |
| 23 | #11718783 | C22 | 1 | 1 | yes | characteristic |
| 24 | #11718304 | — | 2 | 2 | no | — |
| 25 | #11718304 | — | 2 | 2 | no | — |
| 26 | C22⋊#6092 | — | 2 | 2 | no | — |
| 27 | C2×C13×#41 | C2×C4 | 1 | 1 | yes | characteristic |
| 28 | C2×C13×#41 | C2×C4 | 1 | 1 | yes | characteristic |
| 29 | C13×#137 | — | 2 | 1 | no | — |
| 30 | C13×#137 | C8 | 1 | 2 | yes | — |
| 31 | C13×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 32 | C13×AGL(1,ℤ/8) | C8 | 1 | 2 | yes | — |
| 33 | C13×#135 | — | 2 | 2 | no | — |
| 34 | C2×C13×M16 | C2×C4 | 1 | 1 | yes | characteristic |
| 35 | #88202 | — | 2 | 1 | no | — |
| 36 | #88202 | — | 2 | 1 | no | — |
| 37 | #88202 | — | 2 | 1 | no | — |
| 38 | #88202 | — | 2 | 1 | no | — |
| 39 | #88202 | — | 2 | 1 | no | — |
| 40 | #88202 | — | 2 | 1 | no | — |
| 41 | #88202 | D4 | 1 | 2 | yes | — |
| 42 | #88202 | D4 | 1 | 2 | yes | — |
| 43 | #88180 | C2×C4 | 1 | 1 | yes | characteristic |
| 44 | C2×#6099 | — | 2 | 1 | no | — |
| 45 | C2×#6099 | — | 2 | 1 | no | — |
| 46 | C2×#6099 | C2×C4 | 1 | 1 | yes | characteristic |
| 47 | C2×#6099 | C2×C4 | 1 | 1 | yes | characteristic |
| 48 | C22×#1055 | — | 2 | 1 | no | — |
| 49 | C22×#1055 | — | 2 | 1 | no | — |
| 50 | C22×#1055 | C23 | 1 | 1 | yes | characteristic |
| 51 | #88106 | — | 2 | 4 | no | — |
| 52 | #88106 | — | 2 | 1 | no | — |
| 53 | #88106 | — | 2 | 1 | no | — |
| 54 | #88106 | — | 2 | 1 | no | — |
| 55 | #88106 | — | 2 | 1 | no | — |
| 56 | #88106 | — | 2 | 1 | no | — |
| 57 | #88106 | D4 | 1 | 2 | yes | — |
| 58 | C2×#6092 | — | 2 | 4 | no | — |
| 59 | C2×#6092 | — | 2 | 1 | no | — |
| 60 | C2×#6092 | — | 2 | 1 | no | — |
| 61 | C2×#6092 | — | 2 | 1 | no | — |
| 62 | C2×#6092 | — | 2 | 1 | no | — |
| 63 | C2×#6092 | — | 2 | 1 | no | — |
| 64 | C2×#6092 | D4 | 1 | 2 | yes | — |
| 65 | #88077 | — | 2 | 2 | no | — |
| 66 | #88077 | — | 2 | 2 | no | — |
| 67 | #88059 | — | 2 | 2 | no | — |
| 68 | #88055 | — | 2 | 1 | no | — |
| 69 | C8×Dic13 | — | 2 | 1 | no | — |
| 70 | #12979 | — | 13 | 1 | no | maximal, Sylow |
| 71 | C13×#41 | — | 2 | 1 | no | — |
| 72 | C13×#41 | — | 2 | 1 | no | — |
| 73 | C13×#41 | — | 2 | 1 | no | — |
| 74 | C13×#41 | — | 2 | 1 | no | — |
| 75 | C13×#41 | — | 2 | 1 | no | — |
| 76 | C13×#41 | — | 2 | 1 | no | — |
| 77 | C13×#41 | C22⋊C4 | 1 | 2 | yes | — |
| 78 | C13×#41 | C2×C8 | 1 | 2 | yes | — |
| 79 | C2×Q8×C13 | C2×C8 | 1 | 1 | yes | characteristic |
| 80 | C2×Q8×C13 | M16 | 1 | 1 | yes | characteristic |
| 81 | C2×D4×C13 | — | 2 | 1 | no | — |
| 82 | C2×D4×C13 | — | 2 | 1 | no | — |
| 83 | C2×D4×C13 | C2×C8 | 1 | 1 | yes | characteristic |
| 84 | C2×D4×C13 | M16 | 1 | 1 | yes | characteristic |
| 85 | C22×C4×C13 | — | 2 | 1 | no | — |
| 86 | C22×C4×C13 | — | 2 | 1 | no | — |
| 87 | C22×C4×C13 | C22×C4 | 1 | 1 | yes | characteristic |
| 88 | C13×Q16 | — | 2 | 2 | no | — |
| 89 | C13×SD16 | — | 2 | 2 | no | — |
| 90 | C13×SD16 | — | 2 | 2 | no | — |
| 91 | C13×D8 | — | 2 | 2 | no | — |
| 92 | C13×M16 | — | 2 | 1 | no | — |
| 93 | C13×M16 | C2×C8 | 1 | 2 | yes | — |
| 94 | C2×C8×C13 | — | 2 | 1 | no | — |
| 95 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 96 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 97 | C4×Dic13 | — | 2 | 1 | no | — |
| 98 | #6099 | — | 2 | 1 | no | — |
| 99 | #6099 | — | 2 | 2 | no | — |
| 100 | #6099 | — | 2 | 2 | no | — |
| 101 | #6099 | — | 2 | 1 | no | — |
| 102 | #6099 | — | 2 | 1 | no | — |
| 103 | #6099 | — | 4 | 1 | no | — |
| 104 | #6099 | — | 4 | 1 | no | — |
| 105 | #6099 | C22⋊C4 | 1 | 2 | yes | — |
| 106 | C2×#1055 | — | 2 | 1 | no | — |
| 107 | C2×#1055 | — | 2 | 2 | no | — |
| 108 | C2×#1055 | — | 2 | 2 | no | — |
| 109 | C2×#1055 | — | 2 | 1 | no | — |
| 110 | C2×#1055 | — | 4 | 1 | no | — |
| 111 | C2×#1055 | — | 4 | 1 | no | — |
| 112 | C2×#1055 | C2×D4 | 1 | 1 | yes | characteristic |
| 113 | C2×#1055 | C2×D4 | 1 | 1 | yes | characteristic |
| 114 | C2×#1055 | C2×D4 | 1 | 1 | yes | characteristic |
| 115 | C2×#1055 | C2×D4 | 1 | 1 | yes | characteristic |
| 116 | C2×#1055 | #41 | 1 | 1 | yes | characteristic |
| 117 | C2×#1055 | #41 | 1 | 1 | yes | characteristic |
| 118 | #6092 | — | 2 | 2 | no | — |
| 119 | #6092 | — | 2 | 2 | no | — |
| 120 | #6092 | — | 4 | 1 | no | — |
| 121 | #6092 | — | 4 | 1 | no | — |
| 122 | #3407 | — | 13 | 1 | no | — |
| 123 | #2955 | — | 13 | 1 | no | — |
| 124 | #2117 | — | 13 | 1 | no | — |
| 125 | C2×#350 | — | 13 | 1 | no | — |
| 126 | #2113 | — | 13 | 1 | no | — |
| 127 | #1379 | — | 13 | 1 | no | — |
| 128 | #1378 | — | 13 | 1 | no | — |
| 129 | C23×C13 | — | 2 | 1 | no | — |
| 130 | C23×C13 | — | 2 | 1 | no | — |
| 131 | C23×C13 | #131 | 1 | 1 | yes | characteristic |
| 132 | Q8×C13 | — | 2 | 1 | no | — |
| 133 | Q8×C13 | — | 2 | 1 | no | — |
| 134 | Q8×C13 | — | 2 | 1 | no | — |
| 135 | Q8×C13 | C22⋊C8 | 1 | 2 | yes | — |
| 136 | D4×C13 | — | 2 | 2 | no | — |
| 137 | D4×C13 | — | 2 | 2 | no | — |
| 138 | D4×C13 | — | 2 | 1 | no | — |
| 139 | D4×C13 | — | 2 | 1 | no | — |
| 140 | D4×C13 | — | 2 | 1 | no | — |
| 141 | D4×C13 | — | 4 | 1 | no | — |
| 142 | D4×C13 | — | 4 | 1 | no | — |
| 143 | D4×C13 | C22⋊C8 | 1 | 2 | yes | — |
| 144 | C2×C4×C13 | — | 2 | 1 | no | — |
| 145 | C2×C4×C13 | — | 2 | 2 | no | — |
| 146 | C2×C4×C13 | — | 2 | 2 | no | — |
| 147 | C2×C4×C13 | — | 2 | 1 | no | — |
| 148 | C2×C4×C13 | — | 4 | 1 | no | — |
| 149 | C2×C4×C13 | — | 4 | 1 | no | — |
| 150 | C2×C4×C13 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 151 | C2×C4×C13 | C4×D4 | 1 | 1 | yes | characteristic |
| 152 | C2×C4×C13 | C4×D4 | 1 | 1 | yes | characteristic |
| 153 | C2×C4×C13 | C22×C8 | 1 | 1 | yes | characteristic |
| 154 | C2×C4×C13 | C2×M16 | 1 | 1 | yes | characteristic |
| 155 | C2×C4×C13 | #131 | 1 | 1 | yes | characteristic |
| 156 | C2×Dic13 | — | 4 | 1 | no | — |
| 157 | C8×C13 | — | 2 | 2 | no | — |
| 158 | #1055 | — | 2 | 2 | no | — |
| 159 | #1055 | — | 4 | 1 | no | — |
| 160 | #1055 | #120 | 1 | 1 | yes | characteristic |
| 161 | #1055 | #121 | 1 | 1 | yes | characteristic |
| 162 | #1055 | #121 | 1 | 1 | yes | characteristic |
| 163 | #1055 | #123 | 1 | 1 | yes | characteristic |
| 164 | #575 | #261 | 1 | 1 | yes | characteristic |
| 165 | C2×#131 | — | 13 | 1 | no | — |
| 166 | C2×#131 | — | 13 | 1 | no | — |
| 167 | #504 | — | 26 | 2 | no | — |
| 168 | #504 | — | 26 | 2 | no | — |
| 169 | C2×M32 | — | 13 | 1 | no | — |
| 170 | C2×M32 | — | 13 | 1 | no | — |
| 171 | C2×M32 | — | 13 | 1 | no | — |
| 172 | C2×M32 | — | 26 | 2 | no | — |
| 173 | C22×C16 | — | 13 | 1 | no | — |
| 174 | #444 | — | 26 | 2 | no | — |
| 175 | #443 | — | 26 | 2 | no | — |
| 176 | #430 | — | 13 | 1 | no | — |
| 177 | #421 | — | 13 | 1 | no | — |
| 178 | #421 | — | 13 | 1 | no | — |
| 179 | #405 | — | 13 | 1 | no | — |
| 180 | #350 | — | 26 | 2 | no | — |
| 181 | #350 | — | 26 | 2 | no | — |
| 182 | C22⋊C16 | — | 26 | 2 | no | — |
| 183 | C22×C13 | — | 2 | 2 | no | — |
| 184 | C22×C13 | — | 4 | 1 | no | — |
| 185 | C22×C13 | — | 4 | 2 | no | — |
| 186 | C22×C13 | — | 4 | 1 | no | — |
| 187 | C22×C13 | — | 8 | 1 | no | — |
| 188 | C22×C13 | #408 | 1 | 1 | yes | characteristic |
| 189 | C22×C13 | C8×D4 | 1 | 1 | yes | characteristic |
| 190 | C22×C13 | #435 | 1 | 1 | yes | characteristic |
| 191 | C4×C13 | — | 2 | 2 | no | — |
| 192 | C4×C13 | — | 4 | 1 | no | — |
| 193 | C4×C13 | #386 | 1 | 1 | yes | characteristic |
| 194 | C4×C13 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 195 | C4×C13 | C8×D4 | 1 | 1 | yes | characteristic |
| 196 | C4×C13 | #435 | 1 | 1 | yes | characteristic |
| 197 | Dic13 | — | 8 | 1 | no | — |
| 198 | C2×#41 | C2×#261 | 1 | 1 | yes | characteristic |
| 199 | C2×#41 | C2×#261 | 1 | 1 | yes | characteristic |
| 200 | #137 | — | 2 | 1 | no | — |
| 201 | #137 | #1057 | 1 | 2 | yes | — |
| 202 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 203 | AGL(1,ℤ/8) | #1057 | 1 | 2 | yes | — |
| 204 | #135 | — | 2 | 2 | no | — |
| 205 | #131 | — | 13 | 2 | no | — |
| 206 | #131 | — | 13 | 2 | no | — |
| 207 | #131 | — | 26 | 1 | no | — |
| 208 | #131 | — | 26 | 1 | no | — |
| 209 | #131 | — | 26 | 1 | no | — |
| 210 | #131 | — | 26 | 1 | no | — |
| 211 | #131 | — | 26 | 1 | no | — |
| 212 | #131 | — | 26 | 1 | no | — |
| 213 | C2×M16 | — | 13 | 1 | no | — |
| 214 | C2×M16 | — | 13 | 1 | no | — |
| 215 | C2×M16 | — | 26 | 1 | no | — |
| 216 | C2×M16 | — | 26 | 1 | no | — |
| 217 | C2×M16 | C2×#261 | 1 | 1 | yes | characteristic |
| 218 | C22×C8 | — | 13 | 1 | no | — |
| 219 | C22×C8 | — | 26 | 1 | no | — |
| 220 | C22×C8 | — | 26 | 1 | no | — |
| 221 | #117 | — | 13 | 1 | no | — |
| 222 | M32 | — | 13 | 2 | no | — |
| 223 | M32 | — | 26 | 1 | no | — |
| 224 | M32 | — | 26 | 1 | no | — |
| 225 | M32 | — | 26 | 1 | no | — |
| 226 | M32 | — | 26 | 4 | no | — |
| 227 | M32 | — | 26 | 1 | no | — |
| 228 | M32 | — | 26 | 1 | no | — |
| 229 | C2×C16 | — | 13 | 2 | no | — |
| 230 | C2×C16 | — | 26 | 1 | no | — |
| 231 | C2×C16 | — | 26 | 4 | no | — |
| 232 | C2×C16 | — | 26 | 1 | no | — |
| 233 | C2×C16 | — | 26 | 1 | no | — |
| 234 | C2×C16 | — | 26 | 1 | no | — |
| 235 | C2×C16 | — | 26 | 1 | no | — |
| 236 | #108 | — | 26 | 2 | no | — |
| 237 | #104 | — | 26 | 2 | no | — |
| 238 | #104 | — | 26 | 2 | no | — |
| 239 | #97 | — | 26 | 1 | no | — |
| 240 | C4×C8 | — | 26 | 1 | no | — |
| 241 | C2×C13 | — | 2 | 1 | no | — |
| 242 | C2×C13 | — | 2 | 1 | no | — |
| 243 | C2×C13 | — | 2 | 1 | no | — |
| 244 | C2×C13 | — | 4 | 2 | no | — |
| 245 | C2×C13 | — | 8 | 1 | no | — |
| 246 | C2×C13 | #1869 | 1 | 1 | yes | characteristic |
| 247 | #41 | — | 2 | 1 | no | — |
| 248 | #41 | — | 2 | 1 | no | — |
| 249 | #41 | — | 2 | 1 | no | — |
| 250 | #41 | — | 2 | 1 | no | — |
| 251 | #41 | — | 2 | 1 | no | — |
| 252 | #41 | — | 2 | 1 | no | — |
| 253 | #41 | C2×#1057 | 1 | 2 | yes | — |
| 254 | #41 | C22⋊#261 | 1 | 2 | yes | — |
| 255 | C2×Q8 | C2×#1057 | 1 | 1 | yes | characteristic |
| 256 | C2×Q8 | #6122 | 1 | 1 | yes | characteristic |
| 257 | C2×D4 | — | 2 | 1 | no | — |
| 258 | C2×D4 | — | 2 | 1 | no | — |
| 259 | C2×D4 | C2×#1057 | 1 | 1 | yes | characteristic |
| 260 | C2×D4 | #6122 | 1 | 1 | yes | characteristic |
| 261 | C22×C4 | — | 2 | 1 | no | — |
| 262 | C22×C4 | — | 2 | 1 | no | — |
| 263 | C22×C4 | C22×#261 | 1 | 1 | yes | characteristic |
| 264 | Q16 | — | 2 | 2 | no | — |
| 265 | SD16 | — | 2 | 2 | no | — |
| 266 | SD16 | — | 2 | 2 | no | — |
| 267 | D8 | — | 2 | 2 | no | — |
| 268 | M16 | — | 2 | 1 | no | — |
| 269 | M16 | — | 13 | 2 | no | — |
| 270 | M16 | — | 26 | 2 | no | — |
| 271 | M16 | — | 26 | 2 | no | — |
| 272 | M16 | — | 26 | 1 | no | — |
| 273 | M16 | — | 26 | 1 | no | — |
| 274 | M16 | — | 26 | 1 | no | — |
| 275 | M16 | — | 52 | 1 | no | — |
| 276 | M16 | — | 52 | 1 | no | — |
| 277 | M16 | C2×#1057 | 1 | 2 | yes | — |
| 278 | C2×C8 | — | 2 | 1 | no | — |
| 279 | C2×C8 | — | 13 | 1 | no | — |
| 280 | C2×C8 | — | 13 | 1 | no | — |
| 281 | C2×C8 | — | 13 | 1 | no | — |
| 282 | C2×C8 | — | 13 | 1 | no | — |
| 283 | C2×C8 | — | 13 | 1 | no | — |
| 284 | C2×C8 | — | 13 | 1 | no | — |
| 285 | C2×C8 | — | 26 | 2 | no | — |
| 286 | C2×C8 | — | 26 | 2 | no | — |
| 287 | C2×C8 | — | 26 | 1 | no | — |
| 288 | C2×C8 | — | 26 | 1 | no | — |
| 289 | C2×C8 | — | 52 | 1 | no | — |
| 290 | C2×C8 | — | 52 | 1 | no | — |
| 291 | C4⋊C4 | — | 26 | 1 | no | — |
| 292 | C22⋊C4 | — | 26 | 1 | no | — |
| 293 | C42 | — | 26 | 1 | no | — |
| 294 | C16 | — | 26 | 2 | no | — |
| 295 | C16 | — | 26 | 2 | no | — |
| 296 | C16 | — | 52 | 1 | no | — |
| 297 | C16 | — | 52 | 1 | no | — |
| 298 | C13 | #12979 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 299 | C23 | — | 2 | 1 | no | — |
| 300 | C23 | — | 2 | 1 | no | — |
| 301 | C23 | #88238 | 1 | 1 | yes | characteristic |
| 302 | Q8 | — | 2 | 1 | no | — |
| 303 | Q8 | — | 2 | 1 | no | — |
| 304 | Q8 | — | 2 | 1 | no | — |
| 305 | Q8 | C22⋊#1057 | 1 | 2 | yes | — |
| 306 | D4 | — | 2 | 2 | no | — |
| 307 | D4 | — | 2 | 2 | no | — |
| 308 | D4 | — | 2 | 1 | no | — |
| 309 | D4 | — | 2 | 1 | no | — |
| 310 | D4 | — | 2 | 1 | no | — |
| 311 | D4 | — | 4 | 1 | no | — |
| 312 | D4 | — | 4 | 1 | no | — |
| 313 | D4 | C22⋊#1057 | 1 | 2 | yes | — |
| 314 | C2×C4 | — | 2 | 1 | no | — |
| 315 | C2×C4 | — | 2 | 2 | no | — |
| 316 | C2×C4 | — | 2 | 2 | no | — |
| 317 | C2×C4 | — | 2 | 1 | no | — |
| 318 | C2×C4 | — | 4 | 1 | no | — |
| 319 | C2×C4 | — | 4 | 1 | no | — |
| 320 | C2×C4 | — | 52 | 1 | no | — |
| 321 | C2×C4 | #88238 | 1 | 1 | yes | characteristic |
| 322 | C2×C4 | D4×#261 | 1 | 1 | yes | characteristic |
| 323 | C2×C4 | D4×#261 | 1 | 1 | yes | characteristic |
| 324 | C2×C4 | C22×#1057 | 1 | 1 | yes | characteristic |
| 325 | C2×C4 | C2×#6122 | 1 | 1 | yes | characteristic |
| 326 | C2×C4 | C2×C22⋊#261 | 1 | 1 | yes | characteristic |
| 327 | C8 | — | 2 | 2 | no | — |
| 328 | C8 | — | 13 | 1 | no | — |
| 329 | C8 | — | 13 | 1 | no | — |
| 330 | C8 | — | 13 | 1 | no | — |
| 331 | C8 | — | 13 | 1 | no | — |
| 332 | C8 | — | 26 | 2 | no | — |
| 333 | C8 | — | 52 | 1 | no | — |
| 334 | C22 | — | 2 | 2 | no | — |
| 335 | C22 | — | 4 | 1 | no | — |
| 336 | C22 | — | 4 | 2 | no | — |
| 337 | C22 | — | 4 | 1 | no | — |
| 338 | C22 | — | 8 | 1 | no | — |
| 339 | C22 | D4×#1057 | 1 | 1 | yes | characteristic |
| 340 | C22 | #11719144 | 1 | 1 | yes | characteristic |
| 341 | C22 | #11719146 | 1 | 1 | yes | characteristic |
| 342 | C4 | — | 2 | 2 | no | — |
| 343 | C4 | — | 4 | 1 | no | — |
| 344 | C4 | — | 104 | 1 | no | — |
| 345 | C4 | D4×#1057 | 1 | 1 | yes | characteristic |
| 346 | C4 | #11719144 | 1 | 1 | yes | characteristic |
| 347 | C4 | #11719150 | 1 | 1 | yes | characteristic |
| 348 | C4 | C2×C22⋊#1057 | 1 | 1 | yes | characteristic |
| 349 | C2 | — | 2 | 1 | no | — |
| 350 | C2 | — | 2 | 1 | no | — |
| 351 | C2 | — | 2 | 1 | no | — |
| 352 | C2 | — | 4 | 2 | no | — |
| 353 | C2 | — | 8 | 1 | no | — |
| 354 | C2 | #13130809 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta