| 1 | #13123737 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #13116596 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#11718107 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#11718153 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13116456 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13116440 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C13×#2115 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×C13×#131 | C22 | 1 | 1 | yes | characteristic |
| 9 | #11719527 | C4 | 1 | 1 | yes | characteristic |
| 10 | C2×#88155 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×C13×M32 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×C13×M32 | C22 | 1 | 1 | yes | characteristic |
| 13 | #11718897 | C4 | 1 | 1 | yes | characteristic |
| 14 | #11718806 | — | 2 | 2 | no | — |
| 15 | #11718805 | — | 2 | 2 | no | — |
| 16 | #11718800 | C4 | 1 | 1 | yes | characteristic |
| 17 | #11718785 | C4 | 1 | 1 | yes | characteristic |
| 18 | #11718762 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#88052 | C22 | 1 | 1 | yes | characteristic |
| 20 | C22×#6090 | C22 | 1 | 1 | yes | characteristic |
| 21 | C13×#349 | — | 2 | 2 | no | — |
| 22 | #11718153 | — | 2 | 2 | no | — |
| 23 | #11718107 | — | 2 | 2 | no | — |
| 24 | #11718106 | — | 2 | 2 | no | — |
| 25 | #11718104 | — | 2 | 2 | no | — |
| 26 | #11718093 | — | 2 | 2 | no | — |
| 27 | C2×C13×#41 | C2×C4 | 1 | 1 | yes | characteristic |
| 28 | C2×#6127 | C2×C4 | 1 | 1 | yes | characteristic |
| 29 | C13×#131 | — | 2 | 1 | no | — |
| 30 | C13×#131 | — | 2 | 1 | no | — |
| 31 | C13×#131 | — | 2 | 1 | no | — |
| 32 | C13×#131 | — | 2 | 1 | no | — |
| 33 | C2×C13×M16 | — | 2 | 1 | no | — |
| 34 | C2×C13×M16 | C2×C4 | 1 | 1 | yes | characteristic |
| 35 | C22×C8×C13 | — | 2 | 1 | no | — |
| 36 | C22×C8×C13 | C23 | 1 | 1 | yes | characteristic |
| 37 | #88205 | — | 2 | 1 | no | — |
| 38 | #88204 | — | 2 | 2 | no | — |
| 39 | #88203 | — | 2 | 1 | no | — |
| 40 | #88196 | — | 2 | 1 | no | — |
| 41 | #88186 | — | 2 | 1 | no | — |
| 42 | #88180 | C2×C4 | 1 | 1 | yes | characteristic |
| 43 | C2×#6099 | C2×C4 | 1 | 1 | yes | characteristic |
| 44 | C2×#6099 | C2×C4 | 1 | 1 | yes | characteristic |
| 45 | #88155 | — | 2 | 1 | no | — |
| 46 | #88155 | — | 2 | 1 | no | — |
| 47 | #88155 | — | 2 | 1 | no | — |
| 48 | #88155 | — | 2 | 1 | no | — |
| 49 | C2×#6094 | — | 2 | 1 | no | — |
| 50 | C2×C8×D13 | — | 2 | 1 | no | — |
| 51 | C13×M32 | — | 2 | 1 | no | — |
| 52 | C13×M32 | — | 2 | 1 | no | — |
| 53 | C13×M32 | — | 2 | 1 | no | — |
| 54 | C13×M32 | D4 | 1 | 2 | yes | — |
| 55 | C2×C13×C16 | — | 2 | 1 | no | — |
| 56 | C2×C13×C16 | — | 2 | 1 | no | — |
| 57 | #88077 | — | 2 | 2 | no | — |
| 58 | #88065 | — | 2 | 2 | no | — |
| 59 | #88062 | — | 2 | 2 | no | — |
| 60 | #88055 | D4 | 1 | 2 | yes | — |
| 61 | C8×Dic13 | D4 | 1 | 2 | yes | — |
| 62 | #88052 | — | 2 | 1 | no | — |
| 63 | #88052 | D4 | 1 | 2 | yes | — |
| 64 | C2×#6090 | — | 2 | 1 | no | — |
| 65 | C2×#6090 | — | 2 | 1 | no | — |
| 66 | C2×#6090 | — | 2 | 1 | no | — |
| 67 | C2×#6090 | — | 2 | 1 | no | — |
| 68 | #13199 | — | 13 | 1 | no | maximal, Sylow |
| 69 | C13×#41 | — | 2 | 1 | no | — |
| 70 | C13×#41 | — | 2 | 1 | no | — |
| 71 | C13×#41 | — | 2 | 1 | no | — |
| 72 | C13×#41 | — | 2 | 1 | no | — |
| 73 | C2×Q8×C13 | M16 | 1 | 1 | yes | characteristic |
| 74 | C2×D4×C13 | — | 2 | 1 | no | — |
| 75 | C2×D4×C13 | M16 | 1 | 1 | yes | characteristic |
| 76 | C22×C4×C13 | — | 2 | 1 | no | — |
| 77 | C22×C4×C13 | C22×C4 | 1 | 1 | yes | characteristic |
| 78 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 79 | #6127 | — | 2 | 1 | no | — |
| 80 | #6127 | — | 2 | 1 | no | — |
| 81 | #6127 | — | 2 | 1 | no | — |
| 82 | #6127 | — | 2 | 1 | no | — |
| 83 | C2×D52 | M16 | 1 | 1 | yes | characteristic |
| 84 | C2×C4×D13 | — | 2 | 1 | no | — |
| 85 | C2×Dic26 | M16 | 1 | 1 | yes | characteristic |
| 86 | C13×M16 | — | 2 | 1 | no | — |
| 87 | C13×M16 | — | 2 | 1 | no | — |
| 88 | C13×M16 | — | 4 | 1 | no | — |
| 89 | C13×M16 | — | 4 | 1 | no | — |
| 90 | C2×C8×C13 | — | 2 | 1 | no | — |
| 91 | C2×C8×C13 | — | 4 | 1 | no | — |
| 92 | C2×C8×C13 | — | 4 | 1 | no | — |
| 93 | C2×C8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 94 | C2×C8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 95 | C2×C8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 96 | C2×C8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 97 | C2×C8×C13 | #41 | 1 | 1 | yes | characteristic |
| 98 | C2×C8×C13 | #41 | 1 | 1 | yes | characteristic |
| 99 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 100 | #6107 | — | 2 | 2 | no | — |
| 101 | #6106 | — | 2 | 2 | no | — |
| 102 | #6105 | — | 2 | 2 | no | — |
| 103 | #6104 | — | 2 | 2 | no | — |
| 104 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 105 | C4×Dic13 | C22⋊C4 | 1 | 2 | yes | — |
| 106 | #6099 | — | 2 | 1 | no | — |
| 107 | #6099 | — | 2 | 1 | no | — |
| 108 | #6099 | — | 2 | 1 | no | — |
| 109 | #6099 | — | 2 | 1 | no | — |
| 110 | C2×#1055 | — | 2 | 1 | no | — |
| 111 | C2×#1055 | C22⋊C4 | 1 | 2 | yes | — |
| 112 | #6094 | — | 4 | 1 | no | — |
| 113 | #6094 | — | 4 | 1 | no | — |
| 114 | C8×D13 | — | 4 | 1 | no | — |
| 115 | C8×D13 | — | 4 | 1 | no | — |
| 116 | C13×C16 | — | 2 | 2 | no | — |
| 117 | C13×C16 | — | 4 | 1 | no | — |
| 118 | #6090 | — | 2 | 2 | no | — |
| 119 | #6090 | — | 4 | 1 | no | — |
| 120 | #2955 | — | 13 | 1 | no | — |
| 121 | #2151 | — | 13 | 1 | no | — |
| 122 | C2×#350 | — | 13 | 1 | no | — |
| 123 | C2×#350 | — | 13 | 1 | no | — |
| 124 | #2115 | — | 13 | 1 | no | — |
| 125 | #2115 | D13 | 1 | 1 | yes | characteristic, complemented |
| 126 | #2110 | — | 13 | 1 | no | — |
| 127 | C23×C13 | — | 2 | 1 | no | — |
| 128 | C23×C13 | #131 | 1 | 1 | yes | characteristic |
| 129 | C22×D13 | — | 2 | 1 | no | — |
| 130 | Q8×C13 | — | 2 | 1 | no | — |
| 131 | Q8×C13 | — | 2 | 1 | no | — |
| 132 | D4×C13 | — | 2 | 1 | no | — |
| 133 | D4×C13 | — | 2 | 1 | no | — |
| 134 | D4×C13 | — | 4 | 1 | no | — |
| 135 | D4×C13 | — | 4 | 1 | no | — |
| 136 | C2×C4×C13 | — | 2 | 1 | no | — |
| 137 | C2×C4×C13 | — | 4 | 1 | no | — |
| 138 | C2×C4×C13 | — | 4 | 1 | no | — |
| 139 | C2×C4×C13 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 140 | C2×C4×C13 | C4×D4 | 1 | 1 | yes | characteristic |
| 141 | C2×C4×C13 | C4×D4 | 1 | 1 | yes | characteristic |
| 142 | C2×C4×C13 | C2×M16 | 1 | 1 | yes | characteristic |
| 143 | C2×C4×C13 | C2×M16 | 1 | 1 | yes | characteristic |
| 144 | C2×C4×C13 | #131 | 1 | 1 | yes | characteristic |
| 145 | C22⋊D13 | — | 4 | 1 | no | — |
| 146 | C22⋊D13 | — | 4 | 1 | no | — |
| 147 | C2×Dic13 | — | 2 | 2 | no | — |
| 148 | C2×Dic13 | — | 2 | 1 | no | — |
| 149 | D52 | — | 2 | 1 | no | — |
| 150 | D52 | — | 2 | 1 | no | — |
| 151 | C4×D13 | — | 4 | 1 | no | — |
| 152 | C4×D13 | — | 4 | 1 | no | — |
| 153 | Dic26 | — | 2 | 1 | no | — |
| 154 | Dic26 | — | 2 | 1 | no | — |
| 155 | C8×C13 | — | 4 | 1 | no | — |
| 156 | C8×C13 | #121 | 1 | 1 | yes | characteristic |
| 157 | C8×C13 | #121 | 1 | 1 | yes | characteristic |
| 158 | C8×C13 | #124 | 1 | 1 | yes | characteristic |
| 159 | C8×C13 | #127 | 1 | 1 | yes | characteristic |
| 160 | #1055 | — | 2 | 2 | no | — |
| 161 | #1055 | — | 4 | 1 | no | — |
| 162 | #575 | — | 13 | 1 | no | — |
| 163 | C2×#131 | — | 13 | 1 | no | — |
| 164 | C2×#131 | C2×D13 | 1 | 1 | yes | characteristic |
| 165 | C2×M32 | — | 13 | 1 | no | — |
| 166 | C2×M32 | C2×D13 | 1 | 1 | yes | characteristic |
| 167 | C2×M32 | C2×D13 | 1 | 1 | yes | characteristic |
| 168 | C22×C16 | — | 13 | 1 | no | — |
| 169 | #444 | — | 26 | 2 | no | — |
| 170 | #443 | — | 26 | 2 | no | — |
| 171 | #430 | — | 13 | 1 | no | — |
| 172 | #421 | — | 13 | 1 | no | — |
| 173 | #421 | — | 13 | 1 | no | — |
| 174 | #405 | — | 13 | 1 | no | — |
| 175 | C4⋊C16 | — | 26 | 2 | no | — |
| 176 | #350 | — | 26 | 2 | no | — |
| 177 | #350 | — | 26 | 2 | no | — |
| 178 | #349 | — | 2 | 2 | no | — |
| 179 | #349 | — | 26 | 2 | no | — |
| 180 | #347 | — | 26 | 2 | no | — |
| 181 | C22×C13 | — | 4 | 1 | no | — |
| 182 | C22×C13 | — | 4 | 1 | no | — |
| 183 | C22×C13 | — | 8 | 1 | no | — |
| 184 | C22×C13 | #408 | 1 | 1 | yes | characteristic |
| 185 | C22×C13 | #435 | 1 | 1 | yes | characteristic |
| 186 | C22×C13 | #435 | 1 | 1 | yes | characteristic |
| 187 | C2×D13 | — | 4 | 1 | no | — |
| 188 | C2×D13 | — | 8 | 1 | no | — |
| 189 | C4×C13 | — | 4 | 1 | no | — |
| 190 | C4×C13 | #390 | 1 | 1 | yes | characteristic |
| 191 | C4×C13 | #407 | 1 | 1 | yes | characteristic |
| 192 | C4×C13 | #435 | 1 | 1 | yes | characteristic |
| 193 | C4×C13 | #435 | 1 | 1 | yes | characteristic |
| 194 | Dic13 | — | 4 | 2 | no | — |
| 195 | Dic13 | — | 4 | 1 | no | — |
| 196 | C2×#41 | — | 13 | 1 | no | — |
| 197 | C2×#41 | C4×D13 | 1 | 1 | yes | characteristic |
| 198 | #137 | — | 26 | 1 | no | — |
| 199 | #137 | — | 26 | 1 | no | — |
| 200 | AGL(1,ℤ/8) | — | 26 | 1 | no | — |
| 201 | AGL(1,ℤ/8) | — | 26 | 1 | no | — |
| 202 | #135 | — | 26 | 2 | no | — |
| 203 | #131 | — | 2 | 1 | no | — |
| 204 | #131 | — | 2 | 1 | no | — |
| 205 | #131 | — | 2 | 1 | no | — |
| 206 | #131 | — | 2 | 1 | no | — |
| 207 | #131 | — | 26 | 1 | no | — |
| 208 | #131 | — | 26 | 1 | no | — |
| 209 | #131 | — | 26 | 1 | no | — |
| 210 | #131 | — | 26 | 1 | no | — |
| 211 | C2×M16 | — | 2 | 1 | no | — |
| 212 | C2×M16 | — | 13 | 1 | no | — |
| 213 | C2×M16 | — | 13 | 1 | no | — |
| 214 | C2×M16 | — | 26 | 1 | no | — |
| 215 | C2×M16 | C4×D13 | 1 | 1 | yes | characteristic |
| 216 | C22×C8 | — | 2 | 1 | no | — |
| 217 | C22×C8 | — | 26 | 1 | no | — |
| 218 | C22×C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 219 | #117 | — | 13 | 1 | no | — |
| 220 | M32 | — | 2 | 1 | no | — |
| 221 | M32 | — | 2 | 1 | no | — |
| 222 | M32 | — | 2 | 1 | no | — |
| 223 | M32 | — | 13 | 2 | no | — |
| 224 | M32 | — | 26 | 1 | no | — |
| 225 | M32 | C22⋊D13 | 1 | 2 | yes | — |
| 226 | C2×C16 | — | 2 | 1 | no | — |
| 227 | C2×C16 | — | 2 | 1 | no | — |
| 228 | C2×C16 | — | 26 | 1 | no | — |
| 229 | C2×C16 | — | 26 | 1 | no | — |
| 230 | C2×C16 | — | 26 | 1 | no | — |
| 231 | C2×C16 | — | 26 | 1 | no | — |
| 232 | #108 | — | 26 | 2 | no | — |
| 233 | #104 | — | 26 | 2 | no | — |
| 234 | #104 | — | 26 | 2 | no | — |
| 235 | #97 | — | 13 | 2 | no | — |
| 236 | C4×C8 | — | 13 | 2 | no | — |
| 237 | C2×C13 | — | 2 | 1 | no | — |
| 238 | C2×C13 | — | 2 | 1 | no | — |
| 239 | C2×C13 | — | 2 | 1 | no | — |
| 240 | C2×C13 | — | 8 | 1 | no | — |
| 241 | C2×C13 | #1955 | 1 | 1 | yes | characteristic |
| 242 | D13 | — | 8 | 1 | no | — |
| 243 | #41 | — | 2 | 1 | no | — |
| 244 | #41 | — | 2 | 1 | no | — |
| 245 | #41 | — | 2 | 1 | no | — |
| 246 | #41 | — | 2 | 1 | no | — |
| 247 | #41 | — | 26 | 1 | no | — |
| 248 | #41 | — | 26 | 1 | no | — |
| 249 | #41 | — | 26 | 1 | no | — |
| 250 | #41 | — | 26 | 1 | no | — |
| 251 | C2×Q8 | — | 13 | 1 | no | — |
| 252 | C2×Q8 | #6094 | 1 | 1 | yes | characteristic |
| 253 | C2×D4 | — | 2 | 1 | no | — |
| 254 | C2×D4 | — | 13 | 1 | no | — |
| 255 | C2×D4 | — | 26 | 1 | no | — |
| 256 | C2×D4 | #6094 | 1 | 1 | yes | characteristic |
| 257 | C22×C4 | — | 2 | 1 | no | — |
| 258 | C22×C4 | — | 26 | 1 | no | — |
| 259 | C22×C4 | C2×C4×D13 | 1 | 1 | yes | characteristic |
| 260 | Q16 | — | 26 | 2 | no | — |
| 261 | SD16 | — | 26 | 2 | no | — |
| 262 | SD16 | — | 26 | 2 | no | — |
| 263 | D8 | — | 26 | 2 | no | — |
| 264 | M16 | — | 2 | 1 | no | — |
| 265 | M16 | — | 2 | 1 | no | — |
| 266 | M16 | — | 4 | 1 | no | — |
| 267 | M16 | — | 4 | 1 | no | — |
| 268 | M16 | — | 26 | 1 | no | — |
| 269 | M16 | — | 26 | 1 | no | — |
| 270 | M16 | — | 26 | 1 | no | — |
| 271 | M16 | — | 26 | 1 | no | — |
| 272 | M16 | — | 52 | 1 | no | — |
| 273 | M16 | — | 52 | 1 | no | — |
| 274 | C2×C8 | — | 2 | 1 | no | — |
| 275 | C2×C8 | — | 4 | 1 | no | — |
| 276 | C2×C8 | — | 4 | 1 | no | — |
| 277 | C2×C8 | — | 13 | 2 | no | — |
| 278 | C2×C8 | — | 26 | 1 | no | — |
| 279 | C2×C8 | — | 52 | 1 | no | — |
| 280 | C2×C8 | — | 52 | 1 | no | — |
| 281 | C2×C8 | #6127 | 1 | 1 | yes | characteristic |
| 282 | C2×C8 | D4×D13 | 1 | 1 | yes | characteristic |
| 283 | C2×C8 | D4×D13 | 1 | 1 | yes | characteristic |
| 284 | C2×C8 | D4×D13 | 1 | 1 | yes | characteristic |
| 285 | C2×C8 | #6129 | 1 | 1 | yes | characteristic |
| 286 | C2×C8 | C2×C22⋊D13 | 1 | 1 | yes | characteristic |
| 287 | C4⋊C4 | — | 26 | 1 | no | — |
| 288 | C22⋊C4 | — | 26 | 1 | no | — |
| 289 | C42 | — | 13 | 2 | no | — |
| 290 | C16 | — | 2 | 2 | no | — |
| 291 | C16 | — | 4 | 1 | no | — |
| 292 | C16 | — | 26 | 2 | no | — |
| 293 | C16 | — | 52 | 1 | no | — |
| 294 | C13 | #13199 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 295 | C23 | — | 2 | 1 | no | — |
| 296 | C23 | — | 26 | 1 | no | — |
| 297 | C23 | #88155 | 1 | 1 | yes | characteristic |
| 298 | Q8 | — | 2 | 1 | no | — |
| 299 | Q8 | — | 2 | 1 | no | — |
| 300 | Q8 | — | 26 | 1 | no | — |
| 301 | Q8 | — | 26 | 1 | no | — |
| 302 | D4 | — | 2 | 1 | no | — |
| 303 | D4 | — | 2 | 1 | no | — |
| 304 | D4 | — | 4 | 1 | no | — |
| 305 | D4 | — | 4 | 1 | no | — |
| 306 | D4 | — | 26 | 1 | no | — |
| 307 | D4 | — | 26 | 1 | no | — |
| 308 | D4 | — | 52 | 1 | no | — |
| 309 | D4 | — | 52 | 1 | no | — |
| 310 | C2×C4 | — | 2 | 1 | no | — |
| 311 | C2×C4 | — | 4 | 1 | no | — |
| 312 | C2×C4 | — | 4 | 1 | no | — |
| 313 | C2×C4 | — | 26 | 2 | no | — |
| 314 | C2×C4 | — | 26 | 1 | no | — |
| 315 | C2×C4 | — | 52 | 1 | no | — |
| 316 | C2×C4 | — | 52 | 1 | no | — |
| 317 | C2×C4 | C22⋊C4×D13 | 1 | 1 | yes | characteristic |
| 318 | C2×C4 | #88135 | 1 | 1 | yes | characteristic |
| 319 | C2×C4 | C2×#6094 | 1 | 1 | yes | characteristic |
| 320 | C2×C4 | M16×D13 | 1 | 1 | yes | characteristic |
| 321 | C2×C4 | #88161 | 1 | 1 | yes | characteristic |
| 322 | C2×C4 | C4×C22⋊D13 | 1 | 1 | yes | characteristic |
| 323 | C8 | — | 4 | 1 | no | — |
| 324 | C8 | — | 26 | 2 | no | — |
| 325 | C8 | — | 52 | 1 | no | — |
| 326 | C8 | #88138 | 1 | 1 | yes | characteristic |
| 327 | C8 | #88139 | 1 | 1 | yes | characteristic |
| 328 | C8 | #88193 | 1 | 1 | yes | characteristic |
| 329 | C8 | #88194 | 1 | 1 | yes | characteristic |
| 330 | C22 | — | 4 | 1 | no | — |
| 331 | C22 | — | 4 | 1 | no | — |
| 332 | C22 | — | 8 | 1 | no | — |
| 333 | C22 | — | 52 | 1 | no | — |
| 334 | C22 | — | 104 | 1 | no | — |
| 335 | C22 | #11718388 | 1 | 1 | yes | characteristic |
| 336 | C22 | #11718389 | 1 | 1 | yes | characteristic |
| 337 | C22 | #11718772 | 1 | 1 | yes | characteristic |
| 338 | C4 | — | 4 | 1 | no | — |
| 339 | C4 | — | 52 | 2 | no | — |
| 340 | C4 | — | 52 | 1 | no | — |
| 341 | C4 | #11718387 | 1 | 1 | yes | characteristic |
| 342 | C4 | #11718391 | 1 | 1 | yes | characteristic |
| 343 | C4 | #11718618 | 1 | 1 | yes | characteristic |
| 344 | C4 | #11718788 | 1 | 1 | yes | characteristic |
| 345 | C2 | — | 2 | 1 | no | — |
| 346 | C2 | — | 2 | 1 | no | — |
| 347 | C2 | — | 2 | 1 | no | — |
| 348 | C2 | — | 8 | 1 | no | — |
| 349 | C2 | — | 104 | 1 | no | — |
| 350 | C2 | #13115632 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta