| 1 | #66055 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #65893 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C5×#461 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #65464 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #65456 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #65455 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #65452 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #65375 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #65307 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #65134 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #65117 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #65107 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #65106 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #65082 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #65079 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×C5×SD16 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×C5×SD16 | C22 | 1 | 1 | yes | characteristic |
| 18 | C5×C4⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 19 | C4×C5×D4 | C22 | 1 | 1 | yes | characteristic |
| 20 | Q8×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 21 | Q8×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 22 | #4090 | C22 | 1 | 1 | yes | characteristic |
| 23 | #4090 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#689 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#689 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#688 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#688 | C22 | 1 | 1 | yes | characteristic |
| 28 | #4086 | C22 | 1 | 1 | yes | characteristic |
| 29 | #4082 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#687 | C22 | 1 | 1 | yes | characteristic |
| 31 | #4075 | — | 2 | 1 | no | — |
| 32 | C4×C22⋊D5 | — | 2 | 1 | no | — |
| 33 | C2×Dic20 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×#677 | C22 | 1 | 1 | yes | characteristic |
| 35 | #4039 | C22 | 1 | 1 | yes | characteristic |
| 36 | #4036 | — | 2 | 1 | no | — |
| 37 | #4035 | — | 2 | 1 | no | — |
| 38 | #4035 | — | 2 | 1 | no | — |
| 39 | #4033 | — | 2 | 1 | no | — |
| 40 | #4033 | C22 | 1 | 1 | yes | characteristic |
| 41 | #4031 | — | 2 | 1 | no | — |
| 42 | #4029 | — | 2 | 1 | no | — |
| 43 | #4021 | C22 | 1 | 1 | yes | characteristic |
| 44 | C4×Dic10 | C22 | 1 | 1 | yes | characteristic |
| 45 | C4×Dic10 | C22 | 1 | 1 | yes | characteristic |
| 46 | C5×C4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 47 | C5×#103 | C22 | 1 | 1 | yes | characteristic |
| 48 | C5×#103 | C22 | 1 | 1 | yes | characteristic |
| 49 | #3964 | C22 | 1 | 1 | yes | characteristic |
| 50 | #3953 | C22 | 1 | 1 | yes | characteristic |
| 51 | #3948 | C22 | 1 | 1 | yes | characteristic |
| 52 | #3947 | C22 | 1 | 1 | yes | characteristic |
| 53 | #3946 | C22 | 1 | 1 | yes | characteristic |
| 54 | #3946 | C22 | 1 | 1 | yes | characteristic |
| 55 | C8×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 56 | #3942 | C22 | 1 | 1 | yes | characteristic |
| 57 | #3939 | C22 | 1 | 1 | yes | characteristic |
| 58 | #3935 | C22 | 1 | 1 | yes | characteristic |
| 59 | #3400 | — | 5 | 1 | no | maximal, Sylow |
| 60 | C2×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 61 | C2×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 62 | C2×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 63 | C22×C4×C5 | — | 2 | 1 | no | — |
| 64 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 65 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 66 | C2×D20 | C23 | 1 | 1 | yes | characteristic |
| 67 | C2×C4×D5 | — | 2 | 1 | no | — |
| 68 | C2×Dic10 | D4 | 1 | 1 | yes | characteristic |
| 69 | C2×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 70 | C2×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 71 | C5×SD16 | — | 4 | 1 | no | — |
| 72 | C5×SD16 | — | 4 | 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 | C23 | 1 | 1 | yes | characteristic |
| 78 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 79 | C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 80 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 81 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 82 | #689 | — | 2 | 2 | no | — |
| 83 | #689 | — | 4 | 1 | no | — |
| 84 | #688 | — | 2 | 2 | no | — |
| 85 | #688 | — | 4 | 1 | no | — |
| 86 | #687 | — | 2 | 2 | no | — |
| 87 | #685 | — | 2 | 1 | no | — |
| 88 | #685 | — | 2 | 1 | no | — |
| 89 | #685 | — | 2 | 1 | no | — |
| 90 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 91 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 92 | C4⋊Dic5 | D4 | 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 | — | 2 | 1 | no | — |
| 99 | #683 | — | 2 | 1 | no | — |
| 100 | #683 | D4 | 1 | 1 | yes | characteristic |
| 101 | #683 | D4 | 1 | 1 | yes | characteristic |
| 102 | C4×Dic5 | — | 2 | 1 | no | — |
| 103 | C4×Dic5 | — | 2 | 1 | no | — |
| 104 | C4×Dic5 | — | 2 | 1 | no | — |
| 105 | C4×Dic5 | — | 2 | 1 | no | — |
| 106 | C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 107 | C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 108 | C2×#168 | C23 | 1 | 1 | yes | characteristic |
| 109 | C2×#168 | C23 | 1 | 1 | yes | characteristic |
| 110 | Dic20 | — | 4 | 1 | no | — |
| 111 | #677 | — | 4 | 1 | no | — |
| 112 | #559 | — | 5 | 1 | no | — |
| 113 | #557 | — | 5 | 1 | no | — |
| 114 | #497 | — | 5 | 1 | no | — |
| 115 | #497 | — | 5 | 1 | no | — |
| 116 | #492 | — | 5 | 1 | no | — |
| 117 | #464 | — | 5 | 1 | no | — |
| 118 | #464 | — | 5 | 1 | no | — |
| 119 | #462 | — | 5 | 1 | no | — |
| 120 | #461 | — | 5 | 1 | no | — |
| 121 | #461 | D5 | 1 | 1 | yes | characteristic, complemented |
| 122 | #460 | — | 5 | 1 | no | — |
| 123 | #446 | — | 5 | 1 | no | — |
| 124 | #440 | — | 5 | 1 | no | — |
| 125 | #440 | — | 5 | 1 | no | — |
| 126 | C4×Q16 | — | 5 | 1 | no | — |
| 127 | C23×C5 | — | 2 | 1 | no | — |
| 128 | C22×D5 | — | 2 | 1 | no | — |
| 129 | C5×Q8 | — | 2 | 1 | no | — |
| 130 | C5×Q8 | — | 2 | 1 | no | — |
| 131 | C5×Q8 | — | 2 | 1 | no | — |
| 132 | C5×Q8 | — | 2 | 1 | no | — |
| 133 | C5×D4 | — | 2 | 1 | no | — |
| 134 | C5×D4 | — | 2 | 1 | no | — |
| 135 | C2×C4×C5 | — | 2 | 1 | no | — |
| 136 | C2×C4×C5 | — | 2 | 1 | no | — |
| 137 | C2×C4×C5 | — | 2 | 1 | no | — |
| 138 | C2×C4×C5 | — | 8 | 1 | no | — |
| 139 | C2×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 140 | C2×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 141 | C2×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 142 | C22⋊D5 | — | 4 | 2 | no | — |
| 143 | C22⋊D5 | — | 8 | 1 | no | — |
| 144 | C2×Dic5 | — | 2 | 1 | no | — |
| 145 | C2×Dic5 | — | 2 | 1 | no | — |
| 146 | C2×Dic5 | — | 2 | 1 | no | — |
| 147 | C2×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 148 | C2×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 149 | C2×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 150 | C2×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 151 | D20 | — | 2 | 1 | no | — |
| 152 | D20 | — | 2 | 1 | no | — |
| 153 | C4×D5 | — | 8 | 1 | no | — |
| 154 | Dic10 | — | 2 | 2 | no | — |
| 155 | Dic10 | — | 2 | 1 | no | — |
| 156 | Dic10 | — | 2 | 1 | no | — |
| 157 | Dic10 | — | 2 | 1 | no | — |
| 158 | Dic10 | — | 2 | 1 | no | — |
| 159 | C5×C8 | — | 2 | 1 | no | — |
| 160 | C5×C8 | — | 2 | 1 | no | — |
| 161 | #168 | — | 2 | 1 | no | — |
| 162 | #168 | #41 | 1 | 2 | yes | — |
| 163 | C2×Q16 | — | 5 | 1 | no | — |
| 164 | C2×Q16 | — | 5 | 1 | no | — |
| 165 | C2×Q16 | — | 5 | 1 | no | — |
| 166 | C2×SD16 | — | 5 | 1 | no | — |
| 167 | C2×SD16 | — | 5 | 1 | no | — |
| 168 | C2×SD16 | — | 5 | 1 | no | — |
| 169 | C2×SD16 | — | 5 | 1 | no | — |
| 170 | C2×SD16 | C2×D5 | 1 | 1 | yes | characteristic |
| 171 | C2×SD16 | C2×D5 | 1 | 1 | yes | characteristic |
| 172 | C4⋊Q8 | — | 5 | 1 | no | — |
| 173 | C4⋊Q8 | — | 5 | 1 | no | — |
| 174 | C4⋊Q8 | C2×D5 | 1 | 1 | yes | characteristic |
| 175 | #127 | — | 5 | 1 | no | — |
| 176 | #125 | — | 10 | 1 | no | — |
| 177 | #125 | — | 10 | 1 | no | — |
| 178 | #125 | — | 10 | 1 | no | — |
| 179 | #124 | — | 5 | 1 | no | — |
| 180 | #124 | — | 5 | 1 | no | — |
| 181 | #124 | — | 10 | 1 | no | — |
| 182 | #123 | — | 10 | 1 | no | — |
| 183 | #123 | — | 10 | 1 | no | — |
| 184 | C4×Q8 | — | 5 | 1 | no | — |
| 185 | C4×Q8 | — | 5 | 1 | no | — |
| 186 | C4×Q8 | — | 5 | 1 | no | — |
| 187 | C4×Q8 | — | 5 | 1 | no | — |
| 188 | C4×Q8 | — | 5 | 1 | no | — |
| 189 | C4×Q8 | — | 10 | 1 | no | — |
| 190 | C4×D4 | — | 5 | 1 | no | — |
| 191 | C4×D4 | — | 10 | 1 | no | — |
| 192 | C4×D4 | C2×D5 | 1 | 1 | yes | characteristic |
| 193 | #107 | — | 5 | 1 | no | — |
| 194 | C4⋊C8 | — | 5 | 1 | no | — |
| 195 | C4⋊C8 | — | 5 | 1 | no | — |
| 196 | C4⋊C8 | C2×D5 | 1 | 1 | yes | characteristic |
| 197 | #103 | — | 5 | 1 | no | — |
| 198 | #103 | — | 5 | 1 | no | — |
| 199 | #103 | C2×D5 | 1 | 1 | yes | characteristic |
| 200 | #103 | C2×D5 | 1 | 1 | yes | characteristic |
| 201 | #102 | — | 5 | 1 | no | — |
| 202 | #102 | — | 5 | 1 | no | — |
| 203 | #97 | — | 5 | 1 | no | — |
| 204 | #97 | — | 5 | 1 | no | — |
| 205 | C4×C8 | — | 5 | 1 | no | — |
| 206 | C22×C5 | — | 4 | 1 | no | — |
| 207 | C22×C5 | — | 4 | 1 | no | — |
| 208 | C22×C5 | — | 4 | 1 | no | — |
| 209 | C22×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 210 | C2×D5 | — | 4 | 1 | no | — |
| 211 | C2×D5 | — | 4 | 1 | no | — |
| 212 | C2×D5 | — | 4 | 1 | no | — |
| 213 | C4×C5 | — | 2 | 1 | no | — |
| 214 | C4×C5 | — | 2 | 1 | no | — |
| 215 | C4×C5 | — | 4 | 1 | no | — |
| 216 | C4×C5 | — | 4 | 1 | no | — |
| 217 | C4×C5 | — | 4 | 1 | no | — |
| 218 | C4×C5 | C2×#41 | 1 | 1 | yes | characteristic |
| 219 | C4×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 220 | Dic5 | — | 2 | 1 | no | — |
| 221 | Dic5 | — | 2 | 1 | no | — |
| 222 | Dic5 | — | 2 | 1 | no | — |
| 223 | Dic5 | — | 4 | 1 | no | — |
| 224 | Dic5 | — | 4 | 1 | no | — |
| 225 | Dic5 | — | 4 | 1 | no | — |
| 226 | Dic5 | #137 | 1 | 2 | yes | — |
| 227 | C2×Q8 | — | 5 | 1 | no | — |
| 228 | C2×Q8 | — | 5 | 1 | no | — |
| 229 | C2×Q8 | — | 5 | 1 | no | — |
| 230 | C2×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 231 | C2×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 232 | C2×D4 | — | 5 | 1 | no | — |
| 233 | C2×D4 | — | 10 | 1 | no | — |
| 234 | C2×D4 | — | 10 | 1 | no | — |
| 235 | C2×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 236 | C22×C4 | — | 2 | 1 | no | — |
| 237 | C22×C4 | — | 10 | 1 | no | — |
| 238 | Q16 | — | 10 | 2 | no | — |
| 239 | Q16 | — | 20 | 1 | no | — |
| 240 | Q16 | — | 20 | 1 | no | — |
| 241 | SD16 | — | 4 | 1 | no | — |
| 242 | SD16 | — | 4 | 1 | no | — |
| 243 | SD16 | — | 10 | 2 | no | — |
| 244 | SD16 | — | 10 | 2 | no | — |
| 245 | SD16 | — | 20 | 1 | no | — |
| 246 | SD16 | — | 20 | 1 | no | — |
| 247 | C2×C8 | — | 5 | 1 | no | — |
| 248 | C2×C8 | — | 5 | 1 | no | — |
| 249 | C2×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 250 | C2×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 251 | C4⋊C4 | — | 2 | 1 | no | — |
| 252 | C4⋊C4 | — | 2 | 1 | no | — |
| 253 | C4⋊C4 | — | 5 | 1 | no | — |
| 254 | C4⋊C4 | — | 5 | 1 | no | — |
| 255 | C4⋊C4 | — | 5 | 1 | no | — |
| 256 | C4⋊C4 | — | 5 | 1 | no | — |
| 257 | C4⋊C4 | — | 10 | 1 | no | — |
| 258 | C4⋊C4 | — | 10 | 1 | no | — |
| 259 | C4⋊C4 | — | 10 | 1 | no | — |
| 260 | C4⋊C4 | — | 10 | 1 | no | — |
| 261 | C4⋊C4 | — | 10 | 1 | no | — |
| 262 | C4⋊C4 | — | 10 | 1 | no | — |
| 263 | C4⋊C4 | — | 10 | 1 | no | — |
| 264 | C4⋊C4 | — | 10 | 1 | no | — |
| 265 | C4⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 266 | C22⋊C4 | — | 2 | 1 | no | — |
| 267 | C22⋊C4 | — | 10 | 1 | no | — |
| 268 | C22⋊C4 | — | 10 | 1 | no | — |
| 269 | C22⋊C4 | — | 10 | 1 | no | — |
| 270 | C22⋊C4 | — | 10 | 1 | no | — |
| 271 | C22⋊C4 | — | 10 | 1 | no | — |
| 272 | C42 | — | 5 | 1 | no | — |
| 273 | C42 | — | 5 | 1 | no | — |
| 274 | C42 | — | 10 | 1 | no | — |
| 275 | C42 | — | 10 | 1 | no | — |
| 276 | C42 | — | 10 | 1 | no | — |
| 277 | C42 | — | 10 | 1 | no | — |
| 278 | C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 279 | C2×C5 | — | 8 | 1 | no | — |
| 280 | C2×C5 | #550 | 1 | 1 | yes | characteristic |
| 281 | C2×C5 | C2×#137 | 1 | 1 | yes | characteristic |
| 282 | C2×C5 | #577 | 1 | 1 | yes | characteristic |
| 283 | D5 | — | 8 | 1 | no | — |
| 284 | C23 | — | 2 | 1 | no | — |
| 285 | C23 | — | 10 | 1 | no | — |
| 286 | Q8 | — | 2 | 1 | no | — |
| 287 | Q8 | — | 2 | 1 | no | — |
| 288 | Q8 | — | 2 | 1 | no | — |
| 289 | Q8 | — | 2 | 1 | no | — |
| 290 | Q8 | — | 10 | 2 | no | — |
| 291 | Q8 | — | 10 | 1 | no | — |
| 292 | Q8 | — | 10 | 1 | no | — |
| 293 | Q8 | — | 10 | 1 | no | — |
| 294 | Q8 | — | 10 | 1 | no | — |
| 295 | D4 | — | 2 | 1 | no | — |
| 296 | D4 | — | 2 | 1 | no | — |
| 297 | D4 | — | 10 | 1 | no | — |
| 298 | D4 | — | 10 | 1 | no | — |
| 299 | D4 | — | 20 | 2 | no | — |
| 300 | D4 | — | 40 | 1 | no | — |
| 301 | C2×C4 | — | 2 | 1 | no | — |
| 302 | C2×C4 | — | 2 | 1 | no | — |
| 303 | C2×C4 | — | 2 | 1 | no | — |
| 304 | C2×C4 | — | 5 | 1 | no | — |
| 305 | C2×C4 | — | 5 | 1 | no | — |
| 306 | C2×C4 | — | 5 | 1 | no | — |
| 307 | C2×C4 | — | 5 | 1 | no | — |
| 308 | C2×C4 | — | 8 | 1 | no | — |
| 309 | C2×C4 | — | 10 | 1 | no | — |
| 310 | C2×C4 | — | 10 | 1 | no | — |
| 311 | C2×C4 | — | 10 | 1 | no | — |
| 312 | C2×C4 | — | 40 | 1 | no | — |
| 313 | C2×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 314 | C2×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 315 | C2×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 316 | C8 | — | 2 | 1 | no | — |
| 317 | C8 | — | 2 | 1 | no | — |
| 318 | C8 | — | 5 | 2 | no | — |
| 319 | C8 | — | 10 | 1 | no | — |
| 320 | C5 | #3400 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 321 | C22 | — | 4 | 1 | no | — |
| 322 | C22 | — | 4 | 1 | no | — |
| 323 | C22 | — | 4 | 1 | no | — |
| 324 | C22 | — | 20 | 1 | no | — |
| 325 | C22 | — | 20 | 1 | no | — |
| 326 | C22 | — | 20 | 1 | no | — |
| 327 | C22 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 328 | C4 | — | 2 | 1 | no | — |
| 329 | C4 | — | 2 | 1 | no | — |
| 330 | C4 | — | 4 | 1 | no | — |
| 331 | C4 | — | 4 | 1 | no | — |
| 332 | C4 | — | 4 | 1 | no | — |
| 333 | C4 | — | 5 | 2 | no | — |
| 334 | C4 | — | 10 | 1 | no | — |
| 335 | C4 | — | 10 | 1 | no | — |
| 336 | C4 | — | 10 | 1 | no | — |
| 337 | C4 | — | 20 | 1 | no | — |
| 338 | C4 | — | 20 | 1 | no | — |
| 339 | C4 | — | 20 | 1 | no | — |
| 340 | C4 | #4144 | 1 | 1 | yes | characteristic |
| 341 | C4 | D5×#41 | 1 | 1 | yes | characteristic |
| 342 | C2 | — | 8 | 1 | no | — |
| 343 | C2 | — | 40 | 1 | no | — |
| 344 | C2 | #65933 | 1 | 1 | yes | characteristic |
| 345 | C2 | #66096 | 1 | 1 | yes | characteristic |
| 346 | C2 | D5×#137 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta