| 1 | #81910 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #81793 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C3×#2245 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #71354 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #71312 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #69229 | C2 | 1 | 2 | yes | maximal |
| 7 | #69227 | C2 | 1 | 2 | yes | maximal |
| 8 | #69209 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #69207 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #69083 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #69072 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #33741 | — | 3 | 1 | no | maximal, Sylow |
| 13 | #5731 | — | 2 | 1 | no | — |
| 14 | #5698 | — | 2 | 1 | no | — |
| 15 | C3×#499 | C22 | 1 | 1 | yes | characteristic |
| 16 | C3×#494 | C22 | 1 | 1 | yes | characteristic |
| 17 | #5189 | — | 2 | 1 | no | — |
| 18 | #5188 | C22 | 1 | 2 | yes | — |
| 19 | #5184 | — | 2 | 1 | no | — |
| 20 | Dic3×Q16 | C22 | 1 | 2 | yes | — |
| 21 | C2×#829 | C22 | 1 | 2 | yes | — |
| 22 | C2×#829 | C22 | 1 | 2 | yes | — |
| 23 | #5082 | — | 2 | 1 | no | — |
| 24 | #5069 | — | 2 | 1 | no | — |
| 25 | C2×#798 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×D3×C16 | C22 | 1 | 1 | yes | characteristic |
| 27 | #4887 | C22 | 1 | 2 | yes | — |
| 28 | #4873 | C22 | 1 | 2 | yes | — |
| 29 | #4867 | — | 2 | 1 | no | — |
| 30 | #4853 | — | 2 | 1 | no | — |
| 31 | #4699 | C22 | 1 | 1 | yes | characteristic |
| 32 | #4689 | C22 | 1 | 1 | yes | characteristic |
| 33 | #4683 | C22 | 1 | 1 | yes | characteristic |
| 34 | C3×#358 | C22 | 1 | 2 | yes | — |
| 35 | C3×#358 | C22 | 1 | 2 | yes | — |
| 36 | C3×#346 | C22 | 1 | 1 | yes | characteristic |
| 37 | #4503 | C22 | 1 | 2 | yes | — |
| 38 | #4503 | C22 | 1 | 2 | yes | — |
| 39 | #4502 | C22 | 1 | 1 | yes | characteristic |
| 40 | Dic3×C16 | C22 | 1 | 1 | yes | characteristic |
| 41 | #4490 | C22 | 1 | 2 | yes | — |
| 42 | #4489 | C22 | 1 | 2 | yes | — |
| 43 | C4×C3⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 44 | #3177 | — | 3 | 1 | no | — |
| 45 | #3177 | — | 3 | 1 | no | — |
| 46 | #2253 | — | 3 | 1 | no | — |
| 47 | #2247 | — | 3 | 1 | no | — |
| 48 | #2245 | — | 3 | 1 | no | — |
| 49 | #2245 | D3 | 1 | 1 | yes | characteristic, complemented |
| 50 | #2219 | — | 3 | 2 | no | — |
| 51 | #2216 | — | 3 | 2 | no | — |
| 52 | #2176 | — | 3 | 2 | no | — |
| 53 | C4×Q32 | — | 3 | 2 | no | — |
| 54 | #2108 | — | 3 | 1 | no | — |
| 55 | C2×C3×Q16 | — | 2 | 1 | no | — |
| 56 | C2×C3×Q16 | C23 | 1 | 2 | yes | — |
| 57 | C3×C4⋊Q8 | — | 2 | 1 | no | — |
| 58 | C3×#125 | — | 2 | 1 | no | — |
| 59 | #946 | — | 2 | 2 | no | — |
| 60 | Q8×Dic3 | — | 2 | 2 | no | — |
| 61 | C2×Dic12 | — | 2 | 1 | no | — |
| 62 | C2×Dic12 | C23 | 1 | 2 | yes | — |
| 63 | C2×ΓL(1,𝔽25) | D4 | 1 | 1 | yes | characteristic |
| 64 | C2×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 65 | #898 | — | 4 | 2 | no | — |
| 66 | #898 | — | 4 | 2 | no | — |
| 67 | #897 | — | 2 | 2 | no | — |
| 68 | #890 | — | 4 | 2 | no | — |
| 69 | #889 | — | 4 | 2 | no | — |
| 70 | #887 | — | 2 | 2 | no | — |
| 71 | #872 | D4 | 1 | 1 | yes | characteristic |
| 72 | #870 | — | 2 | 1 | no | — |
| 73 | #869 | — | 2 | 1 | no | — |
| 74 | C2×C3×C16 | C23 | 1 | 1 | yes | characteristic |
| 75 | C2×C3×C16 | C23 | 1 | 1 | yes | characteristic |
| 76 | C3×#107 | C23 | 1 | 2 | yes | — |
| 77 | C3×#106 | — | 2 | 1 | no | — |
| 78 | C3×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 79 | #835 | — | 2 | 2 | no | — |
| 80 | #835 | — | 2 | 2 | no | — |
| 81 | #829 | — | 2 | 4 | no | — |
| 82 | #829 | — | 2 | 4 | no | — |
| 83 | #818 | C23 | 1 | 2 | yes | — |
| 84 | #817 | — | 2 | 1 | no | — |
| 85 | #815 | D4 | 1 | 1 | yes | characteristic |
| 86 | C8×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×C3⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 88 | C2×C3⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 89 | #810 | — | 2 | 2 | no | — |
| 90 | #810 | — | 2 | 2 | no | — |
| 91 | #803 | D4 | 1 | 1 | yes | characteristic |
| 92 | #798 | — | 2 | 2 | no | — |
| 93 | D3×C16 | — | 2 | 2 | no | — |
| 94 | #541 | — | 6 | 1 | no | — |
| 95 | #541 | — | 6 | 1 | no | — |
| 96 | C2×Q32 | — | 3 | 2 | no | — |
| 97 | C2×Q32 | — | 3 | 2 | no | — |
| 98 | C2×M32 | — | 3 | 1 | no | — |
| 99 | C22×C16 | — | 3 | 1 | no | — |
| 100 | #499 | — | 3 | 1 | no | — |
| 101 | #499 | C2×D3 | 1 | 1 | yes | characteristic |
| 102 | #494 | — | 3 | 1 | no | — |
| 103 | #494 | C2×D3 | 1 | 1 | yes | characteristic |
| 104 | #491 | — | 6 | 1 | no | — |
| 105 | #491 | — | 6 | 1 | no | — |
| 106 | #470 | — | 6 | 1 | no | — |
| 107 | #470 | — | 6 | 1 | no | — |
| 108 | #467 | — | 3 | 2 | no | — |
| 109 | #467 | — | 3 | 2 | no | — |
| 110 | #441 | — | 6 | 1 | no | — |
| 111 | #441 | — | 6 | 1 | no | — |
| 112 | C4×Q16 | — | 3 | 2 | no | — |
| 113 | C4×Q16 | — | 3 | 2 | no | — |
| 114 | #405 | — | 3 | 1 | no | — |
| 115 | #367 | — | 3 | 2 | no | — |
| 116 | #366 | — | 3 | 2 | no | — |
| 117 | #358 | — | 3 | 2 | no | — |
| 118 | #358 | — | 3 | 2 | no | — |
| 119 | #358 | C2×D3 | 1 | 2 | yes | — |
| 120 | #358 | C2×D3 | 1 | 2 | yes | — |
| 121 | #346 | — | 3 | 1 | no | — |
| 122 | #346 | C2×D3 | 1 | 1 | yes | characteristic |
| 123 | C4×C16 | — | 3 | 1 | no | — |
| 124 | C4×C16 | — | 3 | 1 | no | — |
| 125 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 126 | C2×C4×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 127 | C2×Dic6 | — | 2 | 2 | no | — |
| 128 | C3×Q16 | — | 2 | 2 | no | — |
| 129 | C3×Q16 | — | 2 | 2 | no | — |
| 130 | C3×Q16 | — | 4 | 2 | no | — |
| 131 | C2×C3×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 132 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 133 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 134 | C3×C4⋊C4 | — | 4 | 2 | no | — |
| 135 | C3×C4⋊C4 | — | 4 | 2 | no | — |
| 136 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 137 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 138 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 139 | (C2×D3)⋊C4 | D8 | 1 | 2 | yes | — |
| 140 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 141 | C4⋊Dic3 | — | 4 | 2 | no | — |
| 142 | C4⋊Dic3 | — | 4 | 2 | no | — |
| 143 | C4⋊Dic3 | — | 4 | 2 | no | — |
| 144 | Dic3⋊C4 | — | 4 | 2 | no | — |
| 145 | Dic3⋊C4 | — | 4 | 2 | no | — |
| 146 | Dic3⋊C4 | — | 4 | 2 | no | — |
| 147 | Dic3⋊C4 | D8 | 1 | 2 | yes | — |
| 148 | C4×Dic3 | — | 4 | 2 | no | — |
| 149 | C4×Dic3 | — | 4 | 2 | no | — |
| 150 | C4×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 151 | C2×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 152 | C2×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 153 | Dic12 | — | 2 | 2 | no | — |
| 154 | Dic12 | — | 2 | 2 | no | — |
| 155 | Dic12 | — | 4 | 2 | no | — |
| 156 | ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 157 | D3×C8 | — | 2 | 1 | no | — |
| 158 | D3×C8 | — | 2 | 1 | no | — |
| 159 | C3×C16 | — | 2 | 1 | no | — |
| 160 | C3×C16 | — | 2 | 1 | no | — |
| 161 | C3⋊C16 | #41 | 1 | 2 | yes | — |
| 162 | C3⋊C16 | #41 | 1 | 2 | yes | — |
| 163 | C2×Q16 | — | 2 | 1 | no | — |
| 164 | C2×Q16 | — | 3 | 2 | no | — |
| 165 | C2×Q16 | — | 6 | 1 | no | — |
| 166 | C2×Q16 | C22×D3 | 1 | 2 | yes | — |
| 167 | C2×M16 | — | 3 | 1 | no | — |
| 168 | C22×C8 | — | 3 | 1 | no | — |
| 169 | C4⋊Q8 | — | 2 | 1 | no | — |
| 170 | C4⋊Q8 | — | 6 | 1 | no | — |
| 171 | #126 | — | 12 | 2 | no | — |
| 172 | #126 | — | 12 | 2 | no | — |
| 173 | #125 | — | 2 | 1 | no | — |
| 174 | #125 | — | 6 | 1 | no | — |
| 175 | #125 | — | 12 | 2 | no | — |
| 176 | #125 | — | 12 | 2 | no | — |
| 177 | C22⋊Q8 | — | 6 | 2 | no | — |
| 178 | C22⋊Q8 | — | 6 | 2 | no | — |
| 179 | C4×Q8 | — | 6 | 2 | no | — |
| 180 | C4×Q8 | — | 6 | 2 | no | — |
| 181 | #117 | — | 3 | 1 | no | — |
| 182 | Q32 | — | 6 | 4 | no | — |
| 183 | Q32 | — | 6 | 4 | no | — |
| 184 | M32 | — | 6 | 2 | no | — |
| 185 | C2×C16 | — | 3 | 1 | no | — |
| 186 | C2×C16 | — | 3 | 1 | no | — |
| 187 | C2×C16 | — | 6 | 2 | no | — |
| 188 | C2×C16 | C22×D3 | 1 | 1 | yes | characteristic |
| 189 | C2×C16 | C22×D3 | 1 | 1 | yes | characteristic |
| 190 | #107 | — | 3 | 2 | no | — |
| 191 | #107 | C22×D3 | 1 | 2 | yes | — |
| 192 | #106 | — | 2 | 1 | no | — |
| 193 | #106 | — | 6 | 1 | no | — |
| 194 | #103 | — | 6 | 2 | no | — |
| 195 | #103 | — | 6 | 2 | no | — |
| 196 | #103 | — | 6 | 2 | no | — |
| 197 | #103 | — | 6 | 2 | no | — |
| 198 | #97 | — | 3 | 1 | no | — |
| 199 | #97 | — | 3 | 1 | no | — |
| 200 | C4×C8 | — | 3 | 1 | no | — |
| 201 | C4×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 202 | C22×D3 | C2×D8 | 1 | 1 | yes | characteristic |
| 203 | C3×Q8 | — | 4 | 2 | no | — |
| 204 | C3×Q8 | — | 4 | 2 | no | — |
| 205 | C2×C3×C4 | — | 4 | 2 | no | — |
| 206 | C2×C3×C4 | — | 4 | 2 | no | — |
| 207 | C2×C3×C4 | C2×D8 | 1 | 2 | yes | — |
| 208 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 209 | C2×Dic3 | — | 4 | 2 | no | — |
| 210 | C2×Dic3 | — | 4 | 2 | no | — |
| 211 | C2×Dic3 | C2×D8 | 1 | 2 | yes | — |
| 212 | C2×Dic3 | C2×D8 | 1 | 1 | yes | characteristic |
| 213 | C4×D3 | — | 2 | 1 | no | — |
| 214 | C4×D3 | — | 2 | 1 | no | — |
| 215 | Dic6 | — | 4 | 2 | no | — |
| 216 | Dic6 | — | 4 | 2 | no | — |
| 217 | C3×C8 | #135 | 1 | 2 | yes | — |
| 218 | C3×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 219 | C3×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 220 | C3⋊C8 | — | 2 | 1 | no | — |
| 221 | C3⋊C8 | — | 2 | 1 | no | — |
| 222 | C2×Q8 | — | 2 | 2 | no | — |
| 223 | C2×Q8 | — | 6 | 2 | no | — |
| 224 | C22×C4 | — | 3 | 1 | no | — |
| 225 | Q16 | — | 2 | 2 | no | — |
| 226 | Q16 | — | 2 | 2 | no | — |
| 227 | Q16 | — | 4 | 2 | no | — |
| 228 | Q16 | — | 6 | 2 | no | — |
| 229 | Q16 | — | 6 | 2 | no | — |
| 230 | Q16 | — | 12 | 2 | no | — |
| 231 | M16 | — | 6 | 2 | no | — |
| 232 | C2×C8 | — | 3 | 1 | no | — |
| 233 | C2×C8 | — | 3 | 1 | no | — |
| 234 | C2×C8 | — | 6 | 1 | no | — |
| 235 | C2×C8 | — | 6 | 1 | no | — |
| 236 | C2×C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 237 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 238 | C4⋊C4 | — | 2 | 2 | no | — |
| 239 | C4⋊C4 | — | 3 | 2 | no | — |
| 240 | C4⋊C4 | — | 4 | 2 | no | — |
| 241 | C4⋊C4 | — | 4 | 2 | no | — |
| 242 | C4⋊C4 | — | 6 | 2 | no | — |
| 243 | C4⋊C4 | — | 12 | 2 | no | — |
| 244 | C4⋊C4 | — | 12 | 2 | no | — |
| 245 | C4⋊C4 | — | 12 | 2 | no | — |
| 246 | C4⋊C4 | — | 12 | 2 | no | — |
| 247 | C4⋊C4 | — | 12 | 2 | no | — |
| 248 | C4⋊C4 | — | 12 | 2 | no | — |
| 249 | C22⋊C4 | — | 3 | 2 | no | — |
| 250 | C22⋊C4 | — | 12 | 2 | no | — |
| 251 | C22⋊C4 | — | 12 | 2 | no | — |
| 252 | C42 | — | 3 | 1 | no | — |
| 253 | C42 | — | 12 | 2 | no | — |
| 254 | C42 | — | 12 | 2 | no | — |
| 255 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 256 | C16 | — | 2 | 1 | no | — |
| 257 | C16 | — | 2 | 1 | no | — |
| 258 | C16 | — | 3 | 2 | no | — |
| 259 | C16 | — | 3 | 2 | no | — |
| 260 | C22×C3 | C22×D8 | 1 | 1 | yes | characteristic |
| 261 | C2×D3 | — | 2 | 2 | no | — |
| 262 | C2×D3 | — | 2 | 1 | no | — |
| 263 | C3×C4 | — | 2 | 2 | no | — |
| 264 | C3×C4 | — | 8 | 2 | no | — |
| 265 | C3×C4 | — | 8 | 2 | no | — |
| 266 | C3×C4 | #532 | 1 | 1 | yes | characteristic |
| 267 | C3×C4 | C2×#135 | 1 | 1 | yes | characteristic |
| 268 | Dic3 | — | 2 | 2 | no | — |
| 269 | Dic3 | — | 2 | 1 | no | — |
| 270 | Dic3 | — | 8 | 2 | no | — |
| 271 | Dic3 | — | 8 | 2 | no | — |
| 272 | C23 | — | 3 | 1 | no | — |
| 273 | Q8 | — | 4 | 2 | no | — |
| 274 | Q8 | — | 4 | 2 | no | — |
| 275 | Q8 | — | 12 | 2 | no | — |
| 276 | Q8 | — | 12 | 2 | no | — |
| 277 | C2×C4 | — | 3 | 2 | no | — |
| 278 | C2×C4 | — | 3 | 1 | no | — |
| 279 | C2×C4 | — | 4 | 2 | no | — |
| 280 | C2×C4 | — | 4 | 2 | no | — |
| 281 | C2×C4 | — | 6 | 1 | no | — |
| 282 | C2×C4 | — | 6 | 1 | no | — |
| 283 | C2×C4 | — | 12 | 2 | no | — |
| 284 | C2×C4 | — | 12 | 2 | no | — |
| 285 | C2×C4 | D3×D8 | 1 | 2 | yes | — |
| 286 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 287 | C8 | — | 6 | 1 | no | — |
| 288 | C8 | — | 6 | 1 | no | — |
| 289 | C8 | #916 | 1 | 2 | yes | — |
| 290 | C8 | D3×#41 | 1 | 1 | yes | characteristic |
| 291 | C8 | D3×#41 | 1 | 1 | yes | characteristic |
| 292 | C2×C3 | #3169 | 1 | 1 | yes | characteristic |
| 293 | C2×C3 | #3417 | 1 | 2 | yes | — |
| 294 | D3 | — | 4 | 1 | no | — |
| 295 | C22 | — | 6 | 2 | no | — |
| 296 | C22 | — | 6 | 1 | no | — |
| 297 | C22 | C2×D3×D8 | 1 | 1 | yes | characteristic |
| 298 | C4 | — | 2 | 2 | no | — |
| 299 | C4 | — | 6 | 2 | no | — |
| 300 | C4 | — | 6 | 1 | no | — |
| 301 | C4 | — | 8 | 2 | no | — |
| 302 | C4 | — | 8 | 2 | no | — |
| 303 | C4 | — | 24 | 2 | no | — |
| 304 | C4 | — | 24 | 2 | no | — |
| 305 | C4 | #5668 | 1 | 1 | yes | characteristic |
| 306 | C4 | C2×#916 | 1 | 1 | yes | characteristic |
| 307 | C3 | #33741 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 308 | C2 | — | 12 | 1 | no | — |
| 309 | C2 | #81557 | 1 | 1 | yes | characteristic |
| 310 | C2 | #82041 | 1 | 2 | yes | — |
Finite Group Databasebeta