| 1 | #66023 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #65908 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C5×#479 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #65355 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #65310 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #65179 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | D5×#107 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #65160 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #65150 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #65135 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #65128 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #65093 | C2 | 1 | 1 | yes | maximal, characteristic |
| 13 | #65092 | C2 | 1 | 1 | yes | maximal, characteristic |
| 14 | #65085 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #65083 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#713 | C22 | 1 | 1 | yes | characteristic |
| 17 | C5×#125 | C22 | 1 | 1 | yes | characteristic |
| 18 | C4×C5×Q8 | C22 | 1 | 1 | yes | characteristic |
| 19 | Q8×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#676 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×C8×D5 | C22 | 1 | 1 | yes | characteristic |
| 22 | #4043 | — | 2 | 1 | no | — |
| 23 | #4042 | — | 2 | 1 | no | — |
| 24 | #4039 | — | 2 | 1 | no | — |
| 25 | #4039 | C22 | 1 | 1 | yes | characteristic |
| 26 | #4038 | C22 | 1 | 1 | yes | characteristic |
| 27 | D5×C4⋊C4 | — | 2 | 1 | no | — |
| 28 | D5×C4⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 29 | D5×C4⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 30 | #4036 | C22 | 1 | 1 | yes | characteristic |
| 31 | #4035 | — | 2 | 1 | no | — |
| 32 | #4034 | — | 2 | 1 | no | — |
| 33 | #4034 | C22 | 1 | 1 | yes | characteristic |
| 34 | C4×D20 | — | 2 | 1 | no | — |
| 35 | C4×D20 | C22 | 1 | 1 | yes | characteristic |
| 36 | #4018 | — | 2 | 1 | no | — |
| 37 | #4018 | C22 | 1 | 1 | yes | characteristic |
| 38 | #4015 | C22 | 1 | 1 | yes | characteristic |
| 39 | C5×#107 | C22 | 1 | 1 | yes | characteristic |
| 40 | C5×#106 | C22 | 1 | 1 | yes | characteristic |
| 41 | C5×C4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 42 | C5×#103 | C22 | 1 | 1 | yes | characteristic |
| 43 | C5×#103 | C22 | 1 | 1 | yes | characteristic |
| 44 | #3967 | C22 | 1 | 1 | yes | characteristic |
| 45 | #3967 | C22 | 1 | 1 | yes | characteristic |
| 46 | #3953 | C22 | 1 | 1 | yes | characteristic |
| 47 | #3953 | C22 | 1 | 1 | yes | characteristic |
| 48 | #3950 | C22 | 1 | 1 | yes | characteristic |
| 49 | #3950 | C22 | 1 | 1 | yes | characteristic |
| 50 | #3946 | C22 | 1 | 1 | yes | characteristic |
| 51 | #3946 | C22 | 1 | 1 | yes | characteristic |
| 52 | #3941 | C22 | 1 | 1 | yes | characteristic |
| 53 | #3941 | C22 | 1 | 1 | yes | characteristic |
| 54 | #3940 | C22 | 1 | 1 | yes | characteristic |
| 55 | #3939 | C22 | 1 | 1 | yes | characteristic |
| 56 | #3939 | C22 | 1 | 1 | yes | characteristic |
| 57 | #3939 | C22 | 1 | 1 | yes | characteristic |
| 58 | C4⋊#168 | C22 | 1 | 1 | yes | characteristic |
| 59 | #3083 | — | 5 | 1 | no | maximal, Sylow |
| 60 | C2×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 61 | #713 | — | 2 | 2 | no | — |
| 62 | #713 | Q8 | 1 | 4 | yes | complemented |
| 63 | C2×D20 | — | 2 | 1 | no | — |
| 64 | C2×D20 | C23 | 1 | 1 | yes | characteristic |
| 65 | C2×C4×D5 | — | 2 | 1 | no | — |
| 66 | C2×C4×D5 | — | 2 | 1 | no | — |
| 67 | C2×C4×D5 | — | 2 | 1 | no | — |
| 68 | C2×C4×D5 | — | 2 | 1 | no | — |
| 69 | C2×C4×D5 | — | 2 | 1 | no | — |
| 70 | C2×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 71 | C2×Dic10 | — | 2 | 1 | no | — |
| 72 | C2×Dic10 | — | 2 | 1 | no | — |
| 73 | C2×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 74 | C2×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 75 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 76 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 77 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 78 | C5×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 79 | C5×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 80 | C5×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 81 | C42×C5 | — | 2 | 1 | no | — |
| 82 | C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 83 | #685 | — | 2 | 1 | no | — |
| 84 | #685 | — | 2 | 1 | no | — |
| 85 | #685 | — | 2 | 1 | no | — |
| 86 | #685 | D4 | 1 | 1 | yes | characteristic |
| 87 | #685 | D4 | 1 | 1 | yes | characteristic |
| 88 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 89 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 90 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 91 | C4⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 92 | C4⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 93 | C4⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 94 | #683 | — | 2 | 1 | no | — |
| 95 | #683 | — | 2 | 1 | no | — |
| 96 | #683 | — | 2 | 1 | no | — |
| 97 | #683 | — | 2 | 1 | no | — |
| 98 | #683 | D4 | 1 | 1 | yes | characteristic |
| 99 | #683 | D4 | 1 | 1 | yes | characteristic |
| 100 | C4×Dic5 | — | 2 | 1 | no | — |
| 101 | C4×Dic5 | — | 2 | 1 | no | — |
| 102 | C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 103 | C2×#168 | C23 | 1 | 1 | yes | characteristic |
| 104 | C2×#168 | C23 | 1 | 1 | yes | characteristic |
| 105 | #676 | — | 2 | 2 | no | — |
| 106 | C8×D5 | — | 2 | 2 | no | — |
| 107 | #544 | — | 5 | 1 | no | — |
| 108 | #520 | — | 5 | 1 | no | — |
| 109 | #479 | — | 5 | 1 | no | — |
| 110 | #479 | D5 | 1 | 1 | yes | characteristic, complemented |
| 111 | #478 | — | 5 | 1 | no | — |
| 112 | #478 | — | 5 | 1 | no | — |
| 113 | #477 | — | 5 | 1 | no | — |
| 114 | #477 | — | 5 | 1 | no | — |
| 115 | #474 | — | 5 | 1 | no | — |
| 116 | #474 | — | 5 | 1 | no | — |
| 117 | #428 | — | 5 | 1 | no | — |
| 118 | C2×#107 | — | 5 | 1 | no | — |
| 119 | #424 | — | 5 | 1 | no | — |
| 120 | #417 | — | 5 | 1 | no | — |
| 121 | #416 | — | 5 | 1 | no | — |
| 122 | C22×D5 | — | 2 | 1 | no | — |
| 123 | C22×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 124 | C5×Q8 | — | 2 | 1 | no | — |
| 125 | C5×Q8 | C2×Q8 | 1 | 2 | yes | — |
| 126 | C2×C4×C5 | — | 2 | 1 | no | — |
| 127 | C2×C4×C5 | — | 2 | 1 | no | — |
| 128 | C2×C4×C5 | — | 2 | 1 | no | — |
| 129 | C2×C4×C5 | — | 2 | 1 | no | — |
| 130 | C2×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 131 | C2×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 132 | C2×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 133 | C2×Dic5 | — | 2 | 1 | no | — |
| 134 | C2×Dic5 | — | 2 | 1 | no | — |
| 135 | C2×Dic5 | — | 2 | 1 | no | — |
| 136 | C2×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 137 | C2×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 138 | C2×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 139 | D20 | — | 2 | 4 | no | — |
| 140 | D20 | — | 2 | 1 | no | — |
| 141 | D20 | C2×Q8 | 1 | 2 | yes | — |
| 142 | C4×D5 | — | 2 | 4 | no | — |
| 143 | C4×D5 | — | 8 | 1 | no | — |
| 144 | C4×D5 | — | 8 | 1 | no | — |
| 145 | C4×D5 | — | 8 | 1 | no | — |
| 146 | C4×D5 | — | 8 | 1 | no | — |
| 147 | C4×D5 | C2×Q8 | 1 | 2 | yes | — |
| 148 | C4×D5 | #41 | 1 | 2 | yes | — |
| 149 | Dic10 | — | 8 | 1 | no | — |
| 150 | Dic10 | — | 8 | 1 | no | — |
| 151 | C5×C8 | — | 2 | 1 | no | — |
| 152 | C5×C8 | — | 2 | 1 | no | — |
| 153 | #168 | — | 2 | 1 | no | — |
| 154 | #168 | — | 2 | 1 | no | — |
| 155 | C2×#41 | — | 5 | 1 | no | — |
| 156 | C2×M16 | — | 5 | 1 | no | — |
| 157 | C22×C8 | — | 5 | 1 | no | — |
| 158 | C4⋊Q8 | — | 5 | 1 | no | — |
| 159 | C4⋊Q8 | — | 5 | 1 | no | — |
| 160 | C4⋊Q8 | — | 10 | 1 | no | — |
| 161 | #125 | — | 5 | 1 | no | — |
| 162 | #125 | — | 10 | 1 | no | — |
| 163 | #125 | C2×D5 | 1 | 1 | yes | characteristic |
| 164 | C22⋊Q8 | — | 10 | 1 | no | — |
| 165 | C22⋊Q8 | — | 10 | 1 | no | — |
| 166 | C4×Q8 | — | 5 | 1 | no | — |
| 167 | C4×Q8 | C2×D5 | 1 | 1 | yes | characteristic |
| 168 | C4×D4 | — | 5 | 1 | no | — |
| 169 | C4×D4 | — | 5 | 1 | no | — |
| 170 | C4×D4 | — | 10 | 1 | no | — |
| 171 | C4×D4 | — | 10 | 1 | no | — |
| 172 | #117 | — | 5 | 1 | no | — |
| 173 | #117 | — | 5 | 1 | no | — |
| 174 | #117 | — | 10 | 1 | no | — |
| 175 | C2×C4⋊C4 | — | 5 | 1 | no | — |
| 176 | C2×C4⋊C4 | — | 5 | 1 | no | — |
| 177 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 178 | #107 | — | 5 | 1 | no | — |
| 179 | #107 | — | 5 | 1 | no | — |
| 180 | #107 | — | 5 | 1 | no | — |
| 181 | #107 | — | 5 | 1 | no | — |
| 182 | #107 | — | 5 | 1 | no | — |
| 183 | #107 | C2×D5 | 1 | 1 | yes | characteristic |
| 184 | #106 | — | 5 | 1 | no | — |
| 185 | #106 | C2×D5 | 1 | 1 | yes | characteristic |
| 186 | C4⋊C8 | — | 5 | 1 | no | — |
| 187 | C4⋊C8 | — | 5 | 1 | no | — |
| 188 | C4⋊C8 | — | 5 | 1 | no | — |
| 189 | C4⋊C8 | C2×D5 | 1 | 1 | yes | characteristic |
| 190 | #103 | — | 5 | 1 | no | — |
| 191 | #103 | — | 5 | 1 | no | — |
| 192 | #103 | C2×D5 | 1 | 1 | yes | characteristic |
| 193 | #103 | C2×D5 | 1 | 1 | yes | characteristic |
| 194 | #102 | — | 5 | 1 | no | — |
| 195 | #102 | — | 5 | 1 | no | — |
| 196 | #102 | — | 5 | 1 | no | — |
| 197 | #102 | — | 5 | 1 | no | — |
| 198 | C22×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 199 | C2×D5 | — | 2 | 1 | no | — |
| 200 | C2×D5 | — | 2 | 1 | no | — |
| 201 | C2×D5 | — | 2 | 2 | no | — |
| 202 | C2×D5 | — | 4 | 1 | no | — |
| 203 | C2×D5 | — | 4 | 1 | no | — |
| 204 | C2×D5 | C22⋊Q8 | 1 | 2 | yes | — |
| 205 | C4×C5 | — | 2 | 2 | no | — |
| 206 | C4×C5 | — | 2 | 1 | no | — |
| 207 | C4×C5 | — | 2 | 1 | no | — |
| 208 | C4×C5 | — | 4 | 1 | no | — |
| 209 | C4×C5 | — | 4 | 1 | no | — |
| 210 | C4×C5 | — | 4 | 1 | no | — |
| 211 | C4×C5 | C22×Q8 | 1 | 1 | yes | characteristic |
| 212 | C4×C5 | C2×#41 | 1 | 1 | yes | characteristic |
| 213 | Dic5 | — | 2 | 1 | no | — |
| 214 | Dic5 | — | 2 | 1 | no | — |
| 215 | Dic5 | — | 4 | 1 | no | — |
| 216 | Dic5 | — | 4 | 1 | no | — |
| 217 | Dic5 | — | 4 | 1 | no | — |
| 218 | Dic5 | C22⋊Q8 | 1 | 2 | yes | — |
| 219 | #41 | — | 5 | 4 | no | — |
| 220 | #41 | — | 10 | 2 | no | — |
| 221 | C2×Q8 | — | 10 | 1 | no | — |
| 222 | C2×Q8 | — | 10 | 1 | no | — |
| 223 | C2×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 224 | C2×D4 | — | 5 | 1 | no | — |
| 225 | C2×D4 | — | 10 | 1 | no | — |
| 226 | C22×C4 | — | 5 | 1 | no | — |
| 227 | C22×C4 | — | 10 | 1 | no | — |
| 228 | C22×C4 | — | 10 | 1 | no | — |
| 229 | C22×C4 | — | 10 | 1 | no | — |
| 230 | C22×C4 | — | 10 | 1 | no | — |
| 231 | C22×C4 | — | 10 | 1 | no | — |
| 232 | M16 | — | 10 | 2 | no | — |
| 233 | C2×C8 | — | 5 | 1 | no | — |
| 234 | C2×C8 | — | 5 | 1 | no | — |
| 235 | C2×C8 | — | 10 | 2 | no | — |
| 236 | C2×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 237 | C2×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 238 | C4⋊C4 | — | 2 | 1 | no | — |
| 239 | C4⋊C4 | — | 2 | 1 | no | — |
| 240 | C4⋊C4 | — | 2 | 1 | no | — |
| 241 | C4⋊C4 | — | 5 | 1 | no | — |
| 242 | C4⋊C4 | — | 5 | 1 | no | — |
| 243 | C4⋊C4 | — | 5 | 1 | no | — |
| 244 | C4⋊C4 | — | 5 | 1 | no | — |
| 245 | C4⋊C4 | — | 5 | 1 | no | — |
| 246 | C4⋊C4 | — | 10 | 1 | no | — |
| 247 | C4⋊C4 | — | 10 | 1 | no | — |
| 248 | C4⋊C4 | — | 10 | 1 | no | — |
| 249 | C4⋊C4 | — | 10 | 1 | no | — |
| 250 | C4⋊C4 | — | 10 | 1 | no | — |
| 251 | C4⋊C4 | — | 10 | 1 | no | — |
| 252 | C4⋊C4 | — | 10 | 1 | no | — |
| 253 | C4⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 254 | C4⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 255 | C4⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 256 | C22⋊C4 | — | 5 | 1 | no | — |
| 257 | C22⋊C4 | — | 5 | 1 | no | — |
| 258 | C22⋊C4 | — | 10 | 1 | no | — |
| 259 | C22⋊C4 | — | 10 | 1 | no | — |
| 260 | C22⋊C4 | — | 10 | 1 | no | — |
| 261 | C42 | — | 2 | 1 | no | — |
| 262 | C42 | — | 5 | 1 | no | — |
| 263 | C42 | — | 10 | 1 | no | — |
| 264 | C42 | — | 10 | 1 | no | — |
| 265 | C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 266 | C2×C5 | C2×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 267 | C2×C5 | #576 | 1 | 1 | yes | characteristic |
| 268 | C2×C5 | #578 | 1 | 1 | yes | characteristic |
| 269 | D5 | — | 2 | 2 | no | — |
| 270 | D5 | — | 4 | 2 | no | — |
| 271 | C23 | — | 5 | 1 | no | — |
| 272 | C23 | — | 10 | 1 | no | — |
| 273 | Q8 | — | 2 | 1 | no | — |
| 274 | Q8 | — | 40 | 1 | no | — |
| 275 | Q8 | — | 40 | 1 | no | — |
| 276 | Q8 | Q8×D5 | 1 | 2 | yes | — |
| 277 | D4 | — | 5 | 2 | no | — |
| 278 | D4 | — | 10 | 4 | no | — |
| 279 | D4 | — | 10 | 1 | no | — |
| 280 | C2×C4 | — | 2 | 1 | no | — |
| 281 | C2×C4 | — | 2 | 1 | no | — |
| 282 | C2×C4 | — | 2 | 1 | no | — |
| 283 | C2×C4 | — | 2 | 1 | no | — |
| 284 | C2×C4 | — | 5 | 1 | no | — |
| 285 | C2×C4 | — | 5 | 2 | no | — |
| 286 | C2×C4 | — | 5 | 2 | no | — |
| 287 | C2×C4 | — | 5 | 1 | no | — |
| 288 | C2×C4 | — | 5 | 1 | no | — |
| 289 | C2×C4 | — | 10 | 4 | no | — |
| 290 | C2×C4 | — | 10 | 1 | no | — |
| 291 | C2×C4 | — | 10 | 1 | no | — |
| 292 | C2×C4 | — | 10 | 1 | no | — |
| 293 | C2×C4 | — | 40 | 1 | no | — |
| 294 | C2×C4 | — | 40 | 1 | no | — |
| 295 | C2×C4 | — | 40 | 1 | no | — |
| 296 | C2×C4 | — | 40 | 1 | no | — |
| 297 | C2×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 298 | C2×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 299 | C2×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 300 | C8 | — | 2 | 1 | no | — |
| 301 | C8 | — | 2 | 1 | no | — |
| 302 | C8 | — | 10 | 1 | no | — |
| 303 | C8 | — | 10 | 1 | no | — |
| 304 | C5 | #3083 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 305 | C22 | — | 5 | 2 | no | — |
| 306 | C22 | — | 10 | 1 | no | — |
| 307 | C22 | — | 10 | 1 | no | — |
| 308 | C22 | — | 10 | 2 | no | — |
| 309 | C22 | — | 20 | 1 | no | — |
| 310 | C22 | — | 20 | 1 | no | — |
| 311 | C22 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 312 | C4 | — | 2 | 1 | no | — |
| 313 | C4 | — | 2 | 1 | no | — |
| 314 | C4 | — | 2 | 2 | no | — |
| 315 | C4 | — | 4 | 1 | no | — |
| 316 | C4 | — | 4 | 1 | no | — |
| 317 | C4 | — | 4 | 1 | no | — |
| 318 | C4 | — | 5 | 2 | no | — |
| 319 | C4 | — | 10 | 1 | no | — |
| 320 | C4 | — | 10 | 1 | no | — |
| 321 | C4 | — | 20 | 1 | no | — |
| 322 | C4 | — | 20 | 1 | no | — |
| 323 | C4 | — | 20 | 1 | no | — |
| 324 | C4 | C2×Q8×D5 | 1 | 1 | yes | characteristic |
| 325 | C4 | D5×#41 | 1 | 1 | yes | characteristic |
| 326 | C2 | — | 10 | 2 | no | — |
| 327 | C2 | — | 20 | 2 | no | — |
| 328 | C2 | D5×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 329 | C2 | #66103 | 1 | 1 | yes | characteristic |
| 330 | C2 | #66113 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta