| 1 | #11741237 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C7×#2115 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#89356 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#89310 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11729189 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11729179 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11729175 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×C7×#131 | C22 | 1 | 1 | yes | characteristic |
| 9 | #90513 | C4 | 1 | 1 | yes | characteristic |
| 10 | C2×#6464 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×C7×M32 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×C7×M32 | C22 | 1 | 1 | yes | characteristic |
| 13 | #90008 | C4 | 1 | 1 | yes | characteristic |
| 14 | #89917 | — | 2 | 2 | no | — |
| 15 | #89916 | — | 2 | 2 | no | — |
| 16 | #89911 | C4 | 1 | 1 | yes | characteristic |
| 17 | #89896 | C4 | 1 | 1 | yes | characteristic |
| 18 | #89873 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#6386 | C22 | 1 | 1 | yes | characteristic |
| 20 | C22×C7⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 21 | C7×#349 | — | 2 | 2 | no | — |
| 22 | #89356 | — | 2 | 2 | no | — |
| 23 | #89310 | — | 2 | 2 | no | — |
| 24 | #89309 | — | 2 | 2 | no | — |
| 25 | #89307 | — | 2 | 2 | no | — |
| 26 | Dic7⋊C16 | — | 2 | 2 | no | — |
| 27 | #13199 | — | 7 | 1 | no | maximal, Sylow |
| 28 | C2×C7×#41 | C2×C4 | 1 | 1 | yes | characteristic |
| 29 | C2×#1157 | C2×C4 | 1 | 1 | yes | characteristic |
| 30 | C7×#131 | — | 2 | 1 | no | — |
| 31 | C7×#131 | — | 2 | 1 | no | — |
| 32 | C7×#131 | — | 2 | 1 | no | — |
| 33 | C7×#131 | — | 2 | 1 | no | — |
| 34 | C2×C7×M16 | — | 2 | 1 | no | — |
| 35 | C2×C7×M16 | C2×C4 | 1 | 1 | yes | characteristic |
| 36 | C22×C7×C8 | — | 2 | 1 | no | — |
| 37 | C22×C7×C8 | C23 | 1 | 1 | yes | characteristic |
| 38 | #6514 | — | 2 | 1 | no | — |
| 39 | #6513 | — | 2 | 2 | no | — |
| 40 | #6512 | — | 2 | 1 | no | — |
| 41 | #6505 | — | 2 | 1 | no | — |
| 42 | #6495 | — | 2 | 1 | no | — |
| 43 | #6489 | C2×C4 | 1 | 1 | yes | characteristic |
| 44 | C2×#1136 | C2×C4 | 1 | 1 | yes | characteristic |
| 45 | C2×#1136 | C2×C4 | 1 | 1 | yes | characteristic |
| 46 | #6464 | — | 2 | 1 | no | — |
| 47 | #6464 | — | 2 | 1 | no | — |
| 48 | #6464 | — | 2 | 1 | no | — |
| 49 | #6464 | — | 2 | 1 | no | — |
| 50 | C2×#1131 | — | 2 | 1 | no | — |
| 51 | C2×C8×D7 | — | 2 | 1 | no | — |
| 52 | C7×M32 | — | 2 | 1 | no | — |
| 53 | C7×M32 | — | 2 | 1 | no | — |
| 54 | C7×M32 | — | 2 | 1 | no | — |
| 55 | C7×M32 | D4 | 1 | 2 | yes | — |
| 56 | C2×C7×C16 | — | 2 | 1 | no | — |
| 57 | C2×C7×C16 | — | 2 | 1 | no | — |
| 58 | #6411 | — | 2 | 2 | no | — |
| 59 | #6399 | — | 2 | 2 | no | — |
| 60 | #6396 | — | 2 | 2 | no | — |
| 61 | #6389 | D4 | 1 | 2 | yes | — |
| 62 | C8×Dic7 | D4 | 1 | 2 | yes | — |
| 63 | #6386 | — | 2 | 1 | no | — |
| 64 | #6386 | D4 | 1 | 2 | yes | — |
| 65 | C2×C7⋊C16 | — | 2 | 1 | no | — |
| 66 | C2×C7⋊C16 | — | 2 | 1 | no | — |
| 67 | C2×C7⋊C16 | — | 2 | 1 | no | — |
| 68 | C2×C7⋊C16 | — | 2 | 1 | no | — |
| 69 | #2955 | — | 7 | 1 | no | — |
| 70 | #2151 | — | 7 | 1 | no | — |
| 71 | C2×#350 | — | 7 | 1 | no | — |
| 72 | C2×#350 | — | 7 | 1 | no | — |
| 73 | #2115 | — | 7 | 1 | no | — |
| 74 | #2115 | D7 | 1 | 1 | yes | characteristic, complemented |
| 75 | #2110 | — | 7 | 1 | no | — |
| 76 | C7×#41 | — | 2 | 1 | no | — |
| 77 | C7×#41 | — | 2 | 1 | no | — |
| 78 | C7×#41 | — | 2 | 1 | no | — |
| 79 | C7×#41 | — | 2 | 1 | no | — |
| 80 | C2×C7×Q8 | M16 | 1 | 1 | yes | characteristic |
| 81 | C2×C7×D4 | — | 2 | 1 | no | — |
| 82 | C2×C7×D4 | M16 | 1 | 1 | yes | characteristic |
| 83 | C22×C4×C7 | — | 2 | 1 | no | — |
| 84 | C22×C4×C7 | C22×C4 | 1 | 1 | yes | characteristic |
| 85 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 86 | #1157 | — | 2 | 1 | no | — |
| 87 | #1157 | — | 2 | 1 | no | — |
| 88 | #1157 | — | 2 | 1 | no | — |
| 89 | #1157 | — | 2 | 1 | no | — |
| 90 | C2×D28 | M16 | 1 | 1 | yes | characteristic |
| 91 | C2×C4×D7 | — | 2 | 1 | no | — |
| 92 | C2×Dic14 | M16 | 1 | 1 | yes | characteristic |
| 93 | C7×M16 | — | 2 | 1 | no | — |
| 94 | C7×M16 | — | 2 | 1 | no | — |
| 95 | C7×M16 | — | 4 | 1 | no | — |
| 96 | C7×M16 | — | 4 | 1 | no | — |
| 97 | C2×C7×C8 | — | 2 | 1 | no | — |
| 98 | C2×C7×C8 | — | 4 | 1 | no | — |
| 99 | C2×C7×C8 | — | 4 | 1 | no | — |
| 100 | C2×C7×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 101 | C2×C7×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 102 | C2×C7×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 103 | C2×C7×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 104 | C2×C7×C8 | #41 | 1 | 1 | yes | characteristic |
| 105 | C2×C7×C8 | #41 | 1 | 1 | yes | characteristic |
| 106 | C22⋊Dic7 | — | 2 | 1 | no | — |
| 107 | #1144 | — | 2 | 2 | no | — |
| 108 | #1143 | — | 2 | 2 | no | — |
| 109 | #1142 | — | 2 | 2 | no | — |
| 110 | #1141 | — | 2 | 2 | no | — |
| 111 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 112 | C4×Dic7 | C22⋊C4 | 1 | 2 | yes | — |
| 113 | #1136 | — | 2 | 1 | no | — |
| 114 | #1136 | — | 2 | 1 | no | — |
| 115 | #1136 | — | 2 | 1 | no | — |
| 116 | #1136 | — | 2 | 1 | no | — |
| 117 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 118 | C2×C7⋊C8 | C22⋊C4 | 1 | 2 | yes | — |
| 119 | #1131 | — | 4 | 1 | no | — |
| 120 | #1131 | — | 4 | 1 | no | — |
| 121 | C8×D7 | — | 4 | 1 | no | — |
| 122 | C8×D7 | — | 4 | 1 | no | — |
| 123 | C7×C16 | — | 2 | 2 | no | — |
| 124 | C7×C16 | — | 4 | 1 | no | — |
| 125 | C7⋊C16 | — | 2 | 2 | no | — |
| 126 | C7⋊C16 | — | 4 | 1 | no | — |
| 127 | #575 | — | 7 | 1 | no | — |
| 128 | C2×#131 | — | 7 | 1 | no | — |
| 129 | C2×#131 | C2×D7 | 1 | 1 | yes | characteristic |
| 130 | C2×M32 | — | 7 | 1 | no | — |
| 131 | C2×M32 | C2×D7 | 1 | 1 | yes | characteristic |
| 132 | C2×M32 | C2×D7 | 1 | 1 | yes | characteristic |
| 133 | C22×C16 | — | 7 | 1 | no | — |
| 134 | #444 | — | 14 | 2 | no | — |
| 135 | #443 | — | 14 | 2 | no | — |
| 136 | #430 | — | 7 | 1 | no | — |
| 137 | #421 | — | 7 | 1 | no | — |
| 138 | #421 | — | 7 | 1 | no | — |
| 139 | #405 | — | 7 | 1 | no | — |
| 140 | C4⋊C16 | — | 14 | 2 | no | — |
| 141 | #350 | — | 14 | 2 | no | — |
| 142 | #350 | — | 14 | 2 | no | — |
| 143 | #349 | — | 2 | 2 | no | — |
| 144 | #349 | — | 14 | 2 | no | — |
| 145 | #347 | — | 14 | 2 | no | — |
| 146 | C23×C7 | — | 2 | 1 | no | — |
| 147 | C23×C7 | #131 | 1 | 1 | yes | characteristic |
| 148 | C22×D7 | — | 2 | 1 | no | — |
| 149 | C7×Q8 | — | 2 | 1 | no | — |
| 150 | C7×Q8 | — | 2 | 1 | no | — |
| 151 | C7×D4 | — | 2 | 1 | no | — |
| 152 | C7×D4 | — | 2 | 1 | no | — |
| 153 | C7×D4 | — | 4 | 1 | no | — |
| 154 | C7×D4 | — | 4 | 1 | no | — |
| 155 | C2×C4×C7 | — | 2 | 1 | no | — |
| 156 | C2×C4×C7 | — | 4 | 1 | no | — |
| 157 | C2×C4×C7 | — | 4 | 1 | no | — |
| 158 | C2×C4×C7 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 159 | C2×C4×C7 | C4×D4 | 1 | 1 | yes | characteristic |
| 160 | C2×C4×C7 | C4×D4 | 1 | 1 | yes | characteristic |
| 161 | C2×C4×C7 | C2×M16 | 1 | 1 | yes | characteristic |
| 162 | C2×C4×C7 | C2×M16 | 1 | 1 | yes | characteristic |
| 163 | C2×C4×C7 | #131 | 1 | 1 | yes | characteristic |
| 164 | C22⋊D7 | — | 4 | 1 | no | — |
| 165 | C22⋊D7 | — | 4 | 1 | no | — |
| 166 | C2×Dic7 | — | 2 | 2 | no | — |
| 167 | C2×Dic7 | — | 2 | 1 | no | — |
| 168 | D28 | — | 2 | 1 | no | — |
| 169 | D28 | — | 2 | 1 | no | — |
| 170 | C4×D7 | — | 4 | 1 | no | — |
| 171 | C4×D7 | — | 4 | 1 | no | — |
| 172 | Dic14 | — | 2 | 1 | no | — |
| 173 | Dic14 | — | 2 | 1 | no | — |
| 174 | C7×C8 | — | 4 | 1 | no | — |
| 175 | C7×C8 | #121 | 1 | 1 | yes | characteristic |
| 176 | C7×C8 | #121 | 1 | 1 | yes | characteristic |
| 177 | C7×C8 | #124 | 1 | 1 | yes | characteristic |
| 178 | C7×C8 | #127 | 1 | 1 | yes | characteristic |
| 179 | C7⋊C8 | — | 2 | 2 | no | — |
| 180 | C7⋊C8 | — | 4 | 1 | no | — |
| 181 | C2×#41 | — | 7 | 1 | no | — |
| 182 | C2×#41 | C4×D7 | 1 | 1 | yes | characteristic |
| 183 | #137 | — | 14 | 1 | no | — |
| 184 | #137 | — | 14 | 1 | no | — |
| 185 | AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 186 | AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 187 | #135 | — | 14 | 2 | no | — |
| 188 | #131 | — | 2 | 1 | no | — |
| 189 | #131 | — | 2 | 1 | no | — |
| 190 | #131 | — | 2 | 1 | no | — |
| 191 | #131 | — | 2 | 1 | no | — |
| 192 | #131 | — | 14 | 1 | no | — |
| 193 | #131 | — | 14 | 1 | no | — |
| 194 | #131 | — | 14 | 1 | no | — |
| 195 | #131 | — | 14 | 1 | no | — |
| 196 | C2×M16 | — | 2 | 1 | no | — |
| 197 | C2×M16 | — | 7 | 1 | no | — |
| 198 | C2×M16 | — | 7 | 1 | no | — |
| 199 | C2×M16 | — | 14 | 1 | no | — |
| 200 | C2×M16 | C4×D7 | 1 | 1 | yes | characteristic |
| 201 | C22×C8 | — | 2 | 1 | no | — |
| 202 | C22×C8 | — | 14 | 1 | no | — |
| 203 | C22×C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 204 | #117 | — | 7 | 1 | no | — |
| 205 | M32 | — | 2 | 1 | no | — |
| 206 | M32 | — | 2 | 1 | no | — |
| 207 | M32 | — | 2 | 1 | no | — |
| 208 | M32 | — | 7 | 2 | no | — |
| 209 | M32 | — | 14 | 1 | no | — |
| 210 | M32 | C22⋊D7 | 1 | 2 | yes | — |
| 211 | C2×C16 | — | 2 | 1 | no | — |
| 212 | C2×C16 | — | 2 | 1 | no | — |
| 213 | C2×C16 | — | 14 | 1 | no | — |
| 214 | C2×C16 | — | 14 | 1 | no | — |
| 215 | C2×C16 | — | 14 | 1 | no | — |
| 216 | C2×C16 | — | 14 | 1 | no | — |
| 217 | #108 | — | 14 | 2 | no | — |
| 218 | #104 | — | 14 | 2 | no | — |
| 219 | #104 | — | 14 | 2 | no | — |
| 220 | #97 | — | 7 | 2 | no | — |
| 221 | C4×C8 | — | 7 | 2 | no | — |
| 222 | C22×C7 | — | 4 | 1 | no | — |
| 223 | C22×C7 | — | 4 | 1 | no | — |
| 224 | C22×C7 | — | 8 | 1 | no | — |
| 225 | C22×C7 | #408 | 1 | 1 | yes | characteristic |
| 226 | C22×C7 | #435 | 1 | 1 | yes | characteristic |
| 227 | C22×C7 | #435 | 1 | 1 | yes | characteristic |
| 228 | C2×D7 | — | 4 | 1 | no | — |
| 229 | C2×D7 | — | 8 | 1 | no | — |
| 230 | C4×C7 | — | 4 | 1 | no | — |
| 231 | C4×C7 | #390 | 1 | 1 | yes | characteristic |
| 232 | C4×C7 | #407 | 1 | 1 | yes | characteristic |
| 233 | C4×C7 | #435 | 1 | 1 | yes | characteristic |
| 234 | C4×C7 | #435 | 1 | 1 | yes | characteristic |
| 235 | Dic7 | — | 4 | 2 | no | — |
| 236 | Dic7 | — | 4 | 1 | no | — |
| 237 | #41 | — | 2 | 1 | no | — |
| 238 | #41 | — | 2 | 1 | no | — |
| 239 | #41 | — | 2 | 1 | no | — |
| 240 | #41 | — | 2 | 1 | no | — |
| 241 | #41 | — | 14 | 1 | no | — |
| 242 | #41 | — | 14 | 1 | no | — |
| 243 | #41 | — | 14 | 1 | no | — |
| 244 | #41 | — | 14 | 1 | no | — |
| 245 | C2×Q8 | — | 7 | 1 | no | — |
| 246 | C2×Q8 | #1131 | 1 | 1 | yes | characteristic |
| 247 | C2×D4 | — | 2 | 1 | no | — |
| 248 | C2×D4 | — | 7 | 1 | no | — |
| 249 | C2×D4 | — | 14 | 1 | no | — |
| 250 | C2×D4 | #1131 | 1 | 1 | yes | characteristic |
| 251 | C22×C4 | — | 2 | 1 | no | — |
| 252 | C22×C4 | — | 14 | 1 | no | — |
| 253 | C22×C4 | C2×C4×D7 | 1 | 1 | yes | characteristic |
| 254 | Q16 | — | 14 | 2 | no | — |
| 255 | SD16 | — | 14 | 2 | no | — |
| 256 | SD16 | — | 14 | 2 | no | — |
| 257 | D8 | — | 14 | 2 | no | — |
| 258 | M16 | — | 2 | 1 | no | — |
| 259 | M16 | — | 2 | 1 | no | — |
| 260 | M16 | — | 4 | 1 | no | — |
| 261 | M16 | — | 4 | 1 | no | — |
| 262 | M16 | — | 14 | 1 | no | — |
| 263 | M16 | — | 14 | 1 | no | — |
| 264 | M16 | — | 14 | 1 | no | — |
| 265 | M16 | — | 14 | 1 | no | — |
| 266 | M16 | — | 28 | 1 | no | — |
| 267 | M16 | — | 28 | 1 | no | — |
| 268 | C2×C8 | — | 2 | 1 | no | — |
| 269 | C2×C8 | — | 4 | 1 | no | — |
| 270 | C2×C8 | — | 4 | 1 | no | — |
| 271 | C2×C8 | — | 7 | 2 | no | — |
| 272 | C2×C8 | — | 14 | 1 | no | — |
| 273 | C2×C8 | — | 28 | 1 | no | — |
| 274 | C2×C8 | — | 28 | 1 | no | — |
| 275 | C2×C8 | #1157 | 1 | 1 | yes | characteristic |
| 276 | C2×C8 | D4×D7 | 1 | 1 | yes | characteristic |
| 277 | C2×C8 | D4×D7 | 1 | 1 | yes | characteristic |
| 278 | C2×C8 | D4×D7 | 1 | 1 | yes | characteristic |
| 279 | C2×C8 | #1159 | 1 | 1 | yes | characteristic |
| 280 | C2×C8 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 281 | C4⋊C4 | — | 14 | 1 | no | — |
| 282 | C22⋊C4 | — | 14 | 1 | no | — |
| 283 | C42 | — | 7 | 2 | no | — |
| 284 | C16 | — | 2 | 2 | no | — |
| 285 | C16 | — | 4 | 1 | no | — |
| 286 | C16 | — | 14 | 2 | no | — |
| 287 | C16 | — | 28 | 1 | no | — |
| 288 | C2×C7 | — | 2 | 1 | no | — |
| 289 | C2×C7 | — | 2 | 1 | no | — |
| 290 | C2×C7 | — | 2 | 1 | no | — |
| 291 | C2×C7 | — | 8 | 1 | no | — |
| 292 | C2×C7 | #1955 | 1 | 1 | yes | characteristic |
| 293 | D7 | — | 8 | 1 | no | — |
| 294 | C23 | — | 2 | 1 | no | — |
| 295 | C23 | — | 14 | 1 | no | — |
| 296 | C23 | #6464 | 1 | 1 | yes | characteristic |
| 297 | Q8 | — | 2 | 1 | no | — |
| 298 | Q8 | — | 2 | 1 | no | — |
| 299 | Q8 | — | 14 | 1 | no | — |
| 300 | Q8 | — | 14 | 1 | no | — |
| 301 | D4 | — | 2 | 1 | no | — |
| 302 | D4 | — | 2 | 1 | no | — |
| 303 | D4 | — | 4 | 1 | no | — |
| 304 | D4 | — | 4 | 1 | no | — |
| 305 | D4 | — | 14 | 1 | no | — |
| 306 | D4 | — | 14 | 1 | no | — |
| 307 | D4 | — | 28 | 1 | no | — |
| 308 | D4 | — | 28 | 1 | no | — |
| 309 | C2×C4 | — | 2 | 1 | no | — |
| 310 | C2×C4 | — | 4 | 1 | no | — |
| 311 | C2×C4 | — | 4 | 1 | no | — |
| 312 | C2×C4 | — | 14 | 2 | no | — |
| 313 | C2×C4 | — | 14 | 1 | no | — |
| 314 | C2×C4 | — | 28 | 1 | no | — |
| 315 | C2×C4 | — | 28 | 1 | no | — |
| 316 | C2×C4 | D7×C22⋊C4 | 1 | 1 | yes | characteristic |
| 317 | C2×C4 | (C22⋊D7)⋊C4 | 1 | 1 | yes | characteristic |
| 318 | C2×C4 | C2×#1131 | 1 | 1 | yes | characteristic |
| 319 | C2×C4 | D7×M16 | 1 | 1 | yes | characteristic |
| 320 | C2×C4 | #6470 | 1 | 1 | yes | characteristic |
| 321 | C2×C4 | C4×C22⋊D7 | 1 | 1 | yes | characteristic |
| 322 | C8 | — | 4 | 1 | no | — |
| 323 | C8 | — | 14 | 2 | no | — |
| 324 | C8 | — | 28 | 1 | no | — |
| 325 | C8 | #6447 | 1 | 1 | yes | characteristic |
| 326 | C8 | #6448 | 1 | 1 | yes | characteristic |
| 327 | C8 | #6502 | 1 | 1 | yes | characteristic |
| 328 | C8 | #6503 | 1 | 1 | yes | characteristic |
| 329 | C7 | #13199 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 330 | C22 | — | 4 | 1 | no | — |
| 331 | C22 | — | 4 | 1 | no | — |
| 332 | C22 | — | 8 | 1 | no | — |
| 333 | C22 | — | 28 | 1 | no | — |
| 334 | C22 | — | 56 | 1 | no | — |
| 335 | C22 | #89499 | 1 | 1 | yes | characteristic |
| 336 | C22 | #89500 | 1 | 1 | yes | characteristic |
| 337 | C22 | #89883 | 1 | 1 | yes | characteristic |
| 338 | C4 | — | 4 | 1 | no | — |
| 339 | C4 | — | 28 | 2 | no | — |
| 340 | C4 | — | 28 | 1 | no | — |
| 341 | C4 | #89498 | 1 | 1 | yes | characteristic |
| 342 | C4 | #89502 | 1 | 1 | yes | characteristic |
| 343 | C4 | #89729 | 1 | 1 | yes | characteristic |
| 344 | C4 | #89899 | 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 | — | 56 | 1 | no | — |
| 350 | C2 | #11727671 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta