| 1 | C13×#556 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11719289 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11718751 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11718747 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11718721 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11718720 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #11718718 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #11718715 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11718692 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C4×#6107 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11718689 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11718687 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11718685 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11718679 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11718677 | C2 | 1 | 1 | yes | maximal, characteristic |
| 16 | C13×C4⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 17 | C13×#126 | — | 2 | 1 | no | — |
| 18 | C13×#126 | — | 2 | 1 | no | — |
| 19 | C13×#124 | C22 | 1 | 1 | yes | characteristic |
| 20 | C13×#124 | C22 | 1 | 1 | yes | characteristic |
| 21 | C13×C22⋊Q8 | — | 2 | 1 | no | — |
| 22 | C4×Q8×C13 | C22 | 1 | 1 | yes | characteristic |
| 23 | C4×Q8×C13 | C22 | 1 | 1 | yes | characteristic |
| 24 | C4×Q8×C13 | C22 | 1 | 1 | yes | characteristic |
| 25 | C4×D4×C13 | C22 | 1 | 1 | yes | characteristic |
| 26 | C13×#117 | — | 2 | 1 | no | — |
| 27 | #88200 | — | 2 | 1 | no | — |
| 28 | C2×#6107 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×#6107 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#6107 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×#6107 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×#6106 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#6106 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×#6105 | C22 | 1 | 1 | yes | characteristic |
| 35 | C2×#6105 | C22 | 1 | 1 | yes | characteristic |
| 36 | C2×#6104 | C22 | 1 | 1 | yes | characteristic |
| 37 | #88152 | — | 2 | 1 | no | — |
| 38 | #88152 | — | 2 | 1 | no | — |
| 39 | #88146 | — | 2 | 1 | no | — |
| 40 | #88129 | C22 | 1 | 1 | yes | characteristic |
| 41 | #88129 | C22 | 1 | 1 | yes | characteristic |
| 42 | C4×D52 | C22 | 1 | 1 | yes | characteristic |
| 43 | #88123 | C22 | 1 | 1 | yes | characteristic |
| 44 | C4×Dic26 | C22 | 1 | 1 | yes | characteristic |
| 45 | C4×Dic26 | C22 | 1 | 1 | yes | characteristic |
| 46 | #88075 | C22 | 1 | 1 | yes | characteristic |
| 47 | #88075 | C22 | 1 | 1 | yes | characteristic |
| 48 | #88072 | C22 | 1 | 1 | yes | characteristic |
| 49 | #88050 | C22 | 1 | 1 | yes | characteristic |
| 50 | #88050 | C22 | 1 | 1 | yes | characteristic |
| 51 | #88049 | C22 | 1 | 1 | yes | characteristic |
| 52 | #88047 | C22 | 1 | 1 | yes | characteristic |
| 53 | C4⋊#1055 | C22 | 1 | 1 | yes | characteristic |
| 54 | C4⋊#1055 | C22 | 1 | 1 | yes | characteristic |
| 55 | C4⋊#1055 | C22 | 1 | 1 | yes | characteristic |
| 56 | #88043 | C22 | 1 | 1 | yes | characteristic |
| 57 | #88043 | C22 | 1 | 1 | yes | characteristic |
| 58 | C4×#1055 | C22 | 1 | 1 | yes | characteristic |
| 59 | C2×Q8×C13 | D4 | 1 | 1 | yes | characteristic |
| 60 | C2×Q8×C13 | C23 | 1 | 1 | yes | characteristic |
| 61 | C2×Q8×C13 | C23 | 1 | 1 | yes | characteristic |
| 62 | C2×D4×C13 | C23 | 1 | 1 | yes | characteristic |
| 63 | C22×C4×C13 | — | 2 | 1 | no | — |
| 64 | C2×D52 | C23 | 1 | 1 | yes | characteristic |
| 65 | C2×C4×D13 | — | 2 | 1 | no | — |
| 66 | C2×Dic26 | C23 | 1 | 1 | yes | characteristic |
| 67 | C2×Dic26 | C23 | 1 | 1 | yes | characteristic |
| 68 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 69 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 70 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 71 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 72 | C13×C4⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 73 | C13×C4⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 74 | C13×C4⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 75 | C13×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 76 | C13×C22⋊C4 | — | 2 | 1 | no | — |
| 77 | C13×C22⋊C4 | — | 2 | 1 | no | — |
| 78 | C13×C22⋊C4 | — | 2 | 1 | no | — |
| 79 | C13×C22⋊C4 | — | 2 | 1 | no | — |
| 80 | C13×C22⋊C4 | — | 2 | 1 | no | — |
| 81 | C42×C13 | — | 2 | 1 | no | — |
| 82 | C42×C13 | — | 2 | 1 | no | — |
| 83 | C42×C13 | C23 | 1 | 1 | yes | characteristic |
| 84 | C42×C13 | C23 | 1 | 1 | yes | characteristic |
| 85 | C42×C13 | C23 | 1 | 1 | yes | characteristic |
| 86 | #6107 | — | 2 | 2 | no | — |
| 87 | #6107 | — | 4 | 1 | no | — |
| 88 | #6107 | — | 4 | 1 | no | — |
| 89 | #6107 | — | 4 | 1 | no | — |
| 90 | #6106 | — | 2 | 2 | no | — |
| 91 | #6106 | — | 4 | 1 | no | — |
| 92 | #6105 | — | 2 | 2 | no | — |
| 93 | #6105 | — | 4 | 1 | no | — |
| 94 | #6104 | — | 4 | 1 | no | — |
| 95 | #6103 | — | 2 | 1 | no | — |
| 96 | #6103 | — | 2 | 1 | no | — |
| 97 | #6103 | — | 2 | 1 | no | — |
| 98 | #6103 | — | 2 | 1 | no | — |
| 99 | #6103 | — | 2 | 1 | no | — |
| 100 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 101 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 102 | C4⋊Dic13 | C23 | 1 | 1 | yes | characteristic |
| 103 | #6101 | — | 2 | 1 | no | — |
| 104 | #6101 | — | 2 | 1 | no | — |
| 105 | C4×Dic13 | — | 2 | 1 | no | — |
| 106 | C4×Dic13 | — | 2 | 1 | no | — |
| 107 | C2×#1055 | C23 | 1 | 1 | yes | characteristic |
| 108 | C2×#1055 | C23 | 1 | 1 | yes | characteristic |
| 109 | C2×#1055 | C23 | 1 | 1 | yes | characteristic |
| 110 | C2×#1055 | C23 | 1 | 1 | yes | characteristic |
| 111 | #3402 | — | 13 | 1 | no | maximal, Sylow |
| 112 | C23×C13 | — | 2 | 1 | no | — |
| 113 | C22×D13 | — | 2 | 1 | no | — |
| 114 | Q8×C13 | — | 2 | 1 | no | — |
| 115 | Q8×C13 | — | 2 | 1 | no | — |
| 116 | Q8×C13 | — | 2 | 1 | no | — |
| 117 | Q8×C13 | — | 2 | 1 | no | — |
| 118 | Q8×C13 | — | 4 | 1 | no | — |
| 119 | D4×C13 | — | 2 | 1 | no | — |
| 120 | D4×C13 | — | 2 | 1 | no | — |
| 121 | C2×C4×C13 | — | 2 | 1 | no | — |
| 122 | C2×C4×C13 | — | 2 | 1 | no | — |
| 123 | C2×C4×C13 | — | 2 | 1 | no | — |
| 124 | C2×C4×C13 | — | 4 | 2 | no | — |
| 125 | C2×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 126 | C2×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 127 | C2×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 128 | C2×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 129 | C2×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 130 | C2×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 131 | C2×C4×C13 | C24 | 1 | 1 | yes | characteristic |
| 132 | C2×Dic13 | — | 2 | 1 | no | — |
| 133 | C2×Dic13 | — | 2 | 1 | no | — |
| 134 | C2×Dic13 | — | 2 | 1 | no | — |
| 135 | D52 | — | 2 | 1 | no | — |
| 136 | D52 | — | 2 | 1 | no | — |
| 137 | C4×D13 | — | 4 | 2 | no | — |
| 138 | Dic26 | — | 2 | 1 | no | — |
| 139 | Dic26 | — | 2 | 1 | no | — |
| 140 | Dic26 | — | 2 | 1 | no | — |
| 141 | Dic26 | — | 2 | 1 | no | — |
| 142 | #1055 | — | 2 | 1 | no | — |
| 143 | #1055 | — | 2 | 1 | no | — |
| 144 | #1055 | — | 2 | 1 | no | — |
| 145 | #1055 | #41 | 1 | 2 | yes | — |
| 146 | #556 | — | 13 | 1 | no | — |
| 147 | #556 | D13 | 1 | 1 | yes | characteristic, complemented |
| 148 | #497 | — | 13 | 1 | no | — |
| 149 | #497 | — | 13 | 1 | no | — |
| 150 | #495 | — | 13 | 1 | no | — |
| 151 | #464 | — | 13 | 1 | no | — |
| 152 | #464 | — | 13 | 1 | no | — |
| 153 | #463 | — | 13 | 1 | no | — |
| 154 | #463 | — | 13 | 1 | no | — |
| 155 | #462 | — | 13 | 1 | no | — |
| 156 | #462 | — | 13 | 1 | no | — |
| 157 | #446 | — | 13 | 1 | no | — |
| 158 | #440 | — | 13 | 1 | no | — |
| 159 | #440 | — | 13 | 1 | no | — |
| 160 | C4×Q16 | — | 13 | 1 | no | — |
| 161 | C22×C13 | — | 4 | 1 | no | — |
| 162 | C22×C13 | — | 4 | 1 | no | — |
| 163 | C22×C13 | — | 4 | 1 | no | — |
| 164 | C22×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 165 | C2×D13 | — | 4 | 1 | no | — |
| 166 | C2×D13 | — | 4 | 1 | no | — |
| 167 | C2×D13 | — | 4 | 1 | no | — |
| 168 | C4×C13 | — | 2 | 1 | no | — |
| 169 | C4×C13 | — | 2 | 1 | no | — |
| 170 | C4×C13 | — | 2 | 1 | no | — |
| 171 | C4×C13 | — | 2 | 1 | no | — |
| 172 | C4×C13 | — | 2 | 1 | no | — |
| 173 | C4×C13 | — | 2 | 1 | no | — |
| 174 | C4×C13 | — | 4 | 1 | no | — |
| 175 | C4×C13 | — | 4 | 1 | no | — |
| 176 | C4×C13 | — | 4 | 1 | no | — |
| 177 | C4×C13 | C2×#41 | 1 | 1 | yes | characteristic |
| 178 | C4×C13 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 179 | Dic13 | — | 4 | 1 | no | — |
| 180 | Dic13 | — | 4 | 1 | no | — |
| 181 | Dic13 | — | 4 | 1 | no | — |
| 182 | C2×Q16 | — | 13 | 1 | no | — |
| 183 | C2×Q16 | — | 13 | 1 | no | — |
| 184 | C2×Q16 | — | 13 | 1 | no | — |
| 185 | C2×Q16 | — | 13 | 1 | no | — |
| 186 | C2×SD16 | — | 13 | 1 | no | — |
| 187 | C2×SD16 | — | 13 | 1 | no | — |
| 188 | C2×SD16 | — | 13 | 1 | no | — |
| 189 | C2×SD16 | — | 13 | 1 | no | — |
| 190 | C2×D8 | — | 13 | 1 | no | — |
| 191 | C4⋊Q8 | — | 13 | 1 | no | — |
| 192 | C4⋊Q8 | C2×D13 | 1 | 1 | yes | characteristic |
| 193 | #126 | — | 2 | 1 | no | — |
| 194 | #126 | — | 2 | 1 | no | — |
| 195 | #126 | — | 26 | 1 | no | — |
| 196 | #126 | — | 26 | 1 | no | — |
| 197 | #124 | — | 13 | 1 | no | — |
| 198 | #124 | — | 13 | 1 | no | — |
| 199 | #124 | C2×D13 | 1 | 1 | yes | characteristic |
| 200 | #124 | C2×D13 | 1 | 1 | yes | characteristic |
| 201 | C22⋊Q8 | — | 2 | 1 | no | — |
| 202 | C22⋊Q8 | — | 26 | 1 | no | — |
| 203 | C4×Q8 | — | 13 | 1 | no | — |
| 204 | C4×Q8 | — | 13 | 1 | no | — |
| 205 | C4×Q8 | C2×D13 | 1 | 1 | yes | characteristic |
| 206 | C4×Q8 | C2×D13 | 1 | 1 | yes | characteristic |
| 207 | C4×Q8 | C2×D13 | 1 | 1 | yes | characteristic |
| 208 | C4×D4 | — | 13 | 1 | no | — |
| 209 | C4×D4 | C2×D13 | 1 | 1 | yes | characteristic |
| 210 | #117 | — | 2 | 1 | no | — |
| 211 | #117 | — | 26 | 1 | no | — |
| 212 | #107 | — | 13 | 1 | no | — |
| 213 | C4⋊C8 | — | 13 | 1 | no | — |
| 214 | C4⋊C8 | — | 13 | 1 | no | — |
| 215 | C4⋊C8 | — | 13 | 1 | no | — |
| 216 | #103 | — | 13 | 1 | no | — |
| 217 | #103 | — | 13 | 1 | no | — |
| 218 | #103 | — | 13 | 1 | no | — |
| 219 | #103 | — | 13 | 1 | no | — |
| 220 | #102 | — | 13 | 1 | no | — |
| 221 | #102 | — | 13 | 1 | no | — |
| 222 | #97 | — | 13 | 1 | no | — |
| 223 | #97 | — | 13 | 1 | no | — |
| 224 | C4×C8 | — | 13 | 1 | no | — |
| 225 | C2×C13 | — | 8 | 1 | no | — |
| 226 | C2×C13 | #550 | 1 | 1 | yes | characteristic |
| 227 | C2×C13 | #575 | 1 | 1 | yes | characteristic |
| 228 | C2×C13 | #578 | 1 | 1 | yes | characteristic |
| 229 | D13 | — | 8 | 1 | no | — |
| 230 | C2×Q8 | — | 13 | 1 | no | — |
| 231 | C2×Q8 | — | 13 | 1 | no | — |
| 232 | C2×Q8 | C22⋊D13 | 1 | 1 | yes | characteristic |
| 233 | C2×Q8 | C22×D13 | 1 | 1 | yes | characteristic |
| 234 | C2×Q8 | C22×D13 | 1 | 1 | yes | characteristic |
| 235 | C2×D4 | — | 13 | 1 | no | — |
| 236 | C2×D4 | C22×D13 | 1 | 1 | yes | characteristic |
| 237 | C22×C4 | — | 2 | 1 | no | — |
| 238 | C22×C4 | — | 26 | 1 | no | — |
| 239 | Q16 | — | 26 | 2 | no | — |
| 240 | Q16 | — | 52 | 1 | no | — |
| 241 | Q16 | — | 52 | 1 | no | — |
| 242 | Q16 | — | 52 | 1 | no | — |
| 243 | SD16 | — | 26 | 2 | no | — |
| 244 | SD16 | — | 26 | 2 | no | — |
| 245 | SD16 | — | 52 | 1 | no | — |
| 246 | SD16 | — | 52 | 1 | no | — |
| 247 | D8 | — | 52 | 1 | no | — |
| 248 | C2×C8 | — | 13 | 1 | no | — |
| 249 | C2×C8 | — | 13 | 1 | no | — |
| 250 | C2×C8 | — | 13 | 1 | no | — |
| 251 | C2×C8 | — | 13 | 1 | no | — |
| 252 | C4⋊C4 | — | 2 | 1 | no | — |
| 253 | C4⋊C4 | — | 2 | 1 | no | — |
| 254 | C4⋊C4 | — | 2 | 1 | no | — |
| 255 | C4⋊C4 | — | 2 | 1 | no | — |
| 256 | C4⋊C4 | — | 13 | 1 | no | — |
| 257 | C4⋊C4 | — | 26 | 1 | no | — |
| 258 | C4⋊C4 | — | 26 | 1 | no | — |
| 259 | C4⋊C4 | — | 26 | 1 | no | — |
| 260 | C4⋊C4 | — | 26 | 1 | no | — |
| 261 | C4⋊C4 | C22⋊D13 | 1 | 1 | yes | characteristic |
| 262 | C4⋊C4 | C22⋊D13 | 1 | 1 | yes | characteristic |
| 263 | C4⋊C4 | C22⋊D13 | 1 | 1 | yes | characteristic |
| 264 | C4⋊C4 | C22×D13 | 1 | 1 | yes | characteristic |
| 265 | C22⋊C4 | — | 2 | 1 | no | — |
| 266 | C22⋊C4 | — | 2 | 1 | no | — |
| 267 | C22⋊C4 | — | 2 | 1 | no | — |
| 268 | C22⋊C4 | — | 2 | 1 | no | — |
| 269 | C22⋊C4 | — | 2 | 1 | no | — |
| 270 | C22⋊C4 | — | 26 | 1 | no | — |
| 271 | C22⋊C4 | — | 26 | 1 | no | — |
| 272 | C22⋊C4 | — | 26 | 1 | no | — |
| 273 | C22⋊C4 | — | 26 | 1 | no | — |
| 274 | C22⋊C4 | — | 26 | 1 | no | — |
| 275 | C42 | — | 2 | 1 | no | — |
| 276 | C42 | — | 2 | 1 | no | — |
| 277 | C42 | — | 26 | 1 | no | — |
| 278 | C42 | — | 26 | 1 | no | — |
| 279 | C42 | C22×D13 | 1 | 1 | yes | characteristic |
| 280 | C42 | C22×D13 | 1 | 1 | yes | characteristic |
| 281 | C42 | C22×D13 | 1 | 1 | yes | characteristic |
| 282 | C13 | #3402 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 283 | C23 | — | 2 | 1 | no | — |
| 284 | C23 | — | 26 | 1 | no | — |
| 285 | Q8 | — | 2 | 1 | no | — |
| 286 | Q8 | — | 2 | 1 | no | — |
| 287 | Q8 | — | 2 | 1 | no | — |
| 288 | Q8 | — | 2 | 1 | no | — |
| 289 | Q8 | — | 4 | 1 | no | — |
| 290 | Q8 | — | 26 | 1 | no | — |
| 291 | Q8 | — | 26 | 1 | no | — |
| 292 | Q8 | — | 26 | 1 | no | — |
| 293 | Q8 | — | 26 | 1 | no | — |
| 294 | D4 | — | 2 | 1 | no | — |
| 295 | D4 | — | 2 | 1 | no | — |
| 296 | D4 | — | 26 | 1 | no | — |
| 297 | D4 | — | 26 | 1 | no | — |
| 298 | C2×C4 | — | 2 | 1 | no | — |
| 299 | C2×C4 | — | 2 | 1 | no | — |
| 300 | C2×C4 | — | 2 | 1 | no | — |
| 301 | C2×C4 | — | 4 | 2 | no | — |
| 302 | C2×C4 | — | 26 | 1 | no | — |
| 303 | C2×C4 | — | 26 | 1 | no | — |
| 304 | C2×C4 | — | 26 | 1 | no | — |
| 305 | C2×C4 | — | 52 | 2 | no | — |
| 306 | C2×C4 | C2×C22⋊D13 | 1 | 1 | yes | characteristic |
| 307 | C2×C4 | C2×C22⋊D13 | 1 | 1 | yes | characteristic |
| 308 | C2×C4 | C2×C22⋊D13 | 1 | 1 | yes | characteristic |
| 309 | C2×C4 | C2×C22⋊D13 | 1 | 1 | yes | characteristic |
| 310 | C2×C4 | C2×C22⋊D13 | 1 | 1 | yes | characteristic |
| 311 | C2×C4 | C2×C22⋊D13 | 1 | 1 | yes | characteristic |
| 312 | C2×C4 | C23×D13 | 1 | 1 | yes | characteristic |
| 313 | C8 | — | 13 | 2 | no | — |
| 314 | C8 | — | 26 | 1 | no | — |
| 315 | C8 | — | 26 | 1 | no | — |
| 316 | C8 | — | 26 | 1 | no | — |
| 317 | C22 | — | 4 | 1 | no | — |
| 318 | C22 | — | 4 | 1 | no | — |
| 319 | C22 | — | 4 | 1 | no | — |
| 320 | C22 | — | 52 | 1 | no | — |
| 321 | C22 | — | 52 | 1 | no | — |
| 322 | C22 | — | 52 | 1 | no | — |
| 323 | C22 | C22×C22⋊D13 | 1 | 1 | yes | characteristic |
| 324 | C4 | — | 2 | 1 | no | — |
| 325 | C4 | — | 2 | 1 | no | — |
| 326 | C4 | — | 2 | 1 | no | — |
| 327 | C4 | — | 2 | 1 | no | — |
| 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 | — | 52 | 1 | no | — |
| 334 | C4 | — | 52 | 1 | no | — |
| 335 | C4 | — | 52 | 1 | no | — |
| 336 | C4 | #41×D13 | 1 | 1 | yes | characteristic |
| 337 | C4 | #88256 | 1 | 1 | yes | characteristic |
| 338 | C2 | — | 8 | 1 | no | — |
| 339 | C2 | — | 104 | 1 | no | — |
| 340 | C2 | #11719527 | 1 | 1 | yes | characteristic |
| 341 | C2 | #11719539 | 1 | 1 | yes | characteristic |
| 342 | C2 | #11719543 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta