| 1 | #33905 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #33903 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #13734 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13716 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13715 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13714 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #13714 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #13708 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #13704 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13698 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #13695 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #13653 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #13645 | C2 | 1 | 1 | yes | maximal, characteristic |
| 14 | #13634 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C2×#1424 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #3338 | — | 2 | 1 | no | — |
| 17 | #3336 | — | 2 | 1 | no | — |
| 18 | C2×Q64 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×M64 | C22 | 1 | 1 | yes | characteristic |
| 20 | C22×C32 | C22 | 1 | 1 | yes | characteristic |
| 21 | #2253 | C22 | 1 | 1 | yes | characteristic |
| 22 | #2252 | C22 | 1 | 1 | yes | characteristic |
| 23 | #2237 | — | 2 | 1 | no | — |
| 24 | #2236 | — | 2 | 1 | no | — |
| 25 | #2236 | — | 2 | 1 | no | — |
| 26 | #2235 | — | 2 | 1 | no | — |
| 27 | #2229 | — | 2 | 1 | no | — |
| 28 | #2227 | — | 2 | 1 | no | — |
| 29 | #2216 | C22 | 1 | 1 | yes | characteristic |
| 30 | #2216 | C22 | 1 | 1 | yes | characteristic |
| 31 | #2216 | C22 | 1 | 1 | yes | characteristic |
| 32 | #2216 | C22 | 1 | 1 | yes | characteristic |
| 33 | C4×Q32 | C22 | 1 | 1 | yes | characteristic |
| 34 | C4×Q32 | C22 | 1 | 1 | yes | characteristic |
| 35 | D4×C16 | C22 | 1 | 1 | yes | characteristic |
| 36 | #2158 | C22 | 1 | 1 | yes | characteristic |
| 37 | C2×#366 | C22 | 1 | 1 | yes | characteristic |
| 38 | C2×#366 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×#366 | C22 | 1 | 1 | yes | characteristic |
| 40 | #1424 | C22 | 1 | 1 | yes | characteristic |
| 41 | #1424 | C22 | 1 | 1 | yes | characteristic |
| 42 | #1424 | C22 | 1 | 1 | yes | characteristic |
| 43 | #1424 | C22 | 1 | 1 | yes | characteristic |
| 44 | #1424 | C22 | 1 | 1 | yes | characteristic |
| 45 | #1424 | C22 | 1 | 1 | yes | characteristic |
| 46 | #1423 | C22 | 1 | 1 | yes | characteristic |
| 47 | #1423 | C22 | 1 | 1 | yes | characteristic |
| 48 | #1423 | C22 | 1 | 1 | yes | characteristic |
| 49 | C4⋊C32 | C22 | 1 | 1 | yes | characteristic |
| 50 | #1416 | C22 | 1 | 1 | yes | characteristic |
| 51 | #1416 | C22 | 1 | 1 | yes | characteristic |
| 52 | #1416 | C22 | 1 | 1 | yes | characteristic |
| 53 | #1416 | C22 | 1 | 1 | yes | characteristic |
| 54 | #1416 | C22 | 1 | 1 | yes | characteristic |
| 55 | #1416 | C22 | 1 | 1 | yes | characteristic |
| 56 | C22⋊C32 | C22 | 1 | 1 | yes | characteristic |
| 57 | C22⋊C32 | C22 | 1 | 1 | yes | characteristic |
| 58 | #1397 | C22 | 1 | 1 | yes | characteristic |
| 59 | #554 | — | 4 | 1 | no | — |
| 60 | #552 | — | 4 | 1 | no | — |
| 61 | C2×Q32 | C23 | 1 | 1 | yes | characteristic |
| 62 | C2×Q32 | C23 | 1 | 1 | yes | characteristic |
| 63 | C22×C16 | C23 | 1 | 1 | yes | characteristic |
| 64 | C22×C16 | C23 | 1 | 1 | yes | characteristic |
| 65 | #500 | — | 2 | 1 | no | — |
| 66 | #499 | — | 2 | 1 | no | — |
| 67 | #485 | — | 4 | 1 | no | — |
| 68 | #484 | — | 4 | 1 | no | — |
| 69 | #484 | — | 4 | 1 | no | — |
| 70 | #483 | — | 4 | 1 | no | — |
| 71 | #479 | — | 4 | 1 | no | — |
| 72 | #477 | — | 4 | 1 | no | — |
| 73 | #467 | — | 2 | 1 | no | — |
| 74 | #467 | — | 2 | 1 | no | — |
| 75 | #467 | — | 2 | 1 | no | — |
| 76 | #467 | — | 2 | 1 | no | — |
| 77 | C4×Q16 | — | 2 | 1 | no | — |
| 78 | C4×Q16 | — | 2 | 1 | no | — |
| 79 | C8×D4 | D4 | 1 | 1 | yes | characteristic |
| 80 | #427 | — | 2 | 1 | no | — |
| 81 | C2×#107 | — | 2 | 1 | no | — |
| 82 | C2×#107 | — | 2 | 1 | no | — |
| 83 | C2×#107 | — | 2 | 1 | no | — |
| 84 | Q64 | — | 2 | 2 | no | — |
| 85 | M64 | — | 2 | 2 | no | — |
| 86 | C2×C32 | — | 2 | 2 | no | — |
| 87 | C2×C32 | C23 | 1 | 1 | yes | characteristic |
| 88 | C2×C32 | C23 | 1 | 1 | yes | characteristic |
| 89 | C2×C32 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×C32 | C23 | 1 | 1 | yes | characteristic |
| 91 | #367 | — | 2 | 1 | no | — |
| 92 | #367 | — | 2 | 1 | no | — |
| 93 | #366 | — | 2 | 1 | no | — |
| 94 | #366 | — | 2 | 1 | no | — |
| 95 | #366 | — | 2 | 1 | no | — |
| 96 | #366 | — | 2 | 1 | no | — |
| 97 | #366 | C23 | 1 | 1 | yes | characteristic |
| 98 | #366 | C23 | 1 | 1 | yes | characteristic |
| 99 | #366 | C23 | 1 | 1 | yes | characteristic |
| 100 | #366 | C23 | 1 | 1 | yes | characteristic |
| 101 | #366 | C23 | 1 | 1 | yes | characteristic |
| 102 | #366 | C23 | 1 | 1 | yes | characteristic |
| 103 | C4⋊C16 | D4 | 1 | 1 | yes | characteristic |
| 104 | #358 | — | 2 | 1 | no | — |
| 105 | #358 | — | 2 | 1 | no | — |
| 106 | #358 | — | 2 | 1 | no | — |
| 107 | #358 | — | 2 | 1 | no | — |
| 108 | #358 | — | 2 | 1 | no | — |
| 109 | #358 | — | 2 | 1 | no | — |
| 110 | C22⋊C16 | D4 | 1 | 1 | yes | characteristic |
| 111 | C22⋊C16 | D4 | 1 | 1 | yes | characteristic |
| 112 | C4×C16 | C23 | 1 | 1 | yes | characteristic |
| 113 | C2×Q16 | — | 2 | 1 | no | — |
| 114 | C2×Q16 | — | 2 | 1 | no | — |
| 115 | C22×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 116 | C22×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 117 | C4⋊Q8 | — | 4 | 1 | no | — |
| 118 | #126 | — | 8 | 1 | no | — |
| 119 | #125 | — | 4 | 1 | no | — |
| 120 | #125 | — | 8 | 1 | no | — |
| 121 | #125 | — | 8 | 1 | no | — |
| 122 | #123 | — | 8 | 1 | no | — |
| 123 | C22⋊Q8 | — | 4 | 1 | no | — |
| 124 | C22⋊Q8 | — | 4 | 1 | no | — |
| 125 | C22⋊Q8 | — | 4 | 1 | no | — |
| 126 | C22⋊Q8 | — | 4 | 1 | no | — |
| 127 | C22⋊Q8 | — | 8 | 1 | no | — |
| 128 | C22⋊Q8 | — | 8 | 1 | no | — |
| 129 | C4×Q8 | — | 4 | 1 | no | — |
| 130 | C4×Q8 | — | 4 | 1 | no | — |
| 131 | C4×D4 | — | 8 | 1 | no | — |
| 132 | C4×D4 | D8 | 1 | 1 | yes | characteristic |
| 133 | #117 | — | 4 | 1 | no | — |
| 134 | #117 | — | 8 | 1 | no | — |
| 135 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 136 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 137 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 138 | Q32 | — | 2 | 1 | no | — |
| 139 | Q32 | — | 2 | 1 | no | — |
| 140 | Q32 | — | 2 | 1 | no | — |
| 141 | Q32 | — | 2 | 1 | no | — |
| 142 | C2×C16 | — | 2 | 1 | no | — |
| 143 | C2×C16 | — | 2 | 1 | no | — |
| 144 | C2×C16 | — | 2 | 1 | no | — |
| 145 | C2×C16 | — | 2 | 1 | no | — |
| 146 | C2×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 147 | C2×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 148 | C2×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 149 | C2×C16 | C24 | 1 | 1 | yes | characteristic |
| 150 | #107 | — | 2 | 1 | no | — |
| 151 | #107 | — | 2 | 1 | no | — |
| 152 | #107 | — | 2 | 1 | no | — |
| 153 | #107 | — | 2 | 1 | no | — |
| 154 | #107 | — | 2 | 1 | no | — |
| 155 | #107 | — | 2 | 1 | no | — |
| 156 | #107 | — | 4 | 1 | no | — |
| 157 | #107 | — | 4 | 1 | no | — |
| 158 | #107 | — | 4 | 1 | no | — |
| 159 | #107 | — | 4 | 1 | no | — |
| 160 | #106 | — | 4 | 1 | no | — |
| 161 | #106 | — | 4 | 1 | no | — |
| 162 | C4⋊C8 | D8 | 1 | 1 | yes | characteristic |
| 163 | #103 | — | 4 | 1 | no | — |
| 164 | #103 | — | 4 | 1 | no | — |
| 165 | #103 | — | 4 | 1 | no | — |
| 166 | #103 | — | 4 | 1 | no | — |
| 167 | #103 | — | 4 | 1 | no | — |
| 168 | #103 | — | 4 | 1 | no | — |
| 169 | C22⋊C8 | D8 | 1 | 1 | yes | characteristic |
| 170 | C22⋊C8 | D8 | 1 | 1 | yes | characteristic |
| 171 | C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 172 | C32 | — | 2 | 1 | no | — |
| 173 | C32 | — | 2 | 1 | no | — |
| 174 | C32 | — | 2 | 1 | no | — |
| 175 | C32 | #41 | 1 | 2 | yes | — |
| 176 | C2×Q8 | — | 4 | 1 | no | — |
| 177 | C2×Q8 | — | 4 | 1 | no | — |
| 178 | C2×Q8 | — | 8 | 1 | no | — |
| 179 | C2×D4 | D16 | 1 | 1 | yes | characteristic |
| 180 | C22×C4 | — | 8 | 1 | no | — |
| 181 | C22×C4 | — | 8 | 1 | no | — |
| 182 | C22×C4 | — | 8 | 1 | no | — |
| 183 | C22×C4 | C2×D8 | 1 | 1 | yes | characteristic |
| 184 | C22×C4 | C2×D8 | 1 | 1 | yes | characteristic |
| 185 | Q16 | — | 4 | 1 | no | — |
| 186 | Q16 | — | 4 | 1 | no | — |
| 187 | Q16 | — | 4 | 1 | no | — |
| 188 | Q16 | — | 4 | 1 | no | — |
| 189 | C2×C8 | — | 2 | 1 | no | — |
| 190 | C2×C8 | — | 2 | 1 | no | — |
| 191 | C2×C8 | — | 2 | 1 | no | — |
| 192 | C2×C8 | — | 2 | 1 | no | — |
| 193 | C2×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 194 | C2×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 195 | C2×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 196 | C2×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 197 | C4⋊C4 | — | 4 | 1 | no | — |
| 198 | C4⋊C4 | — | 4 | 1 | no | — |
| 199 | C4⋊C4 | — | 4 | 1 | no | — |
| 200 | C4⋊C4 | — | 4 | 1 | no | — |
| 201 | C4⋊C4 | — | 4 | 1 | no | — |
| 202 | C4⋊C4 | — | 4 | 1 | no | — |
| 203 | C4⋊C4 | — | 8 | 1 | no | — |
| 204 | C4⋊C4 | — | 8 | 1 | no | — |
| 205 | C4⋊C4 | — | 8 | 1 | no | — |
| 206 | C4⋊C4 | — | 8 | 1 | no | — |
| 207 | C4⋊C4 | — | 8 | 1 | no | — |
| 208 | C4⋊C4 | — | 8 | 1 | no | — |
| 209 | C4⋊C4 | — | 8 | 1 | no | — |
| 210 | C4⋊C4 | — | 8 | 1 | no | — |
| 211 | C4⋊C4 | — | 8 | 1 | no | — |
| 212 | C4⋊C4 | — | 8 | 1 | no | — |
| 213 | C4⋊C4 | — | 8 | 1 | no | — |
| 214 | C4⋊C4 | — | 8 | 1 | no | — |
| 215 | C4⋊C4 | D16 | 1 | 1 | yes | characteristic |
| 216 | C22⋊C4 | — | 8 | 1 | no | — |
| 217 | C22⋊C4 | — | 8 | 1 | no | — |
| 218 | C22⋊C4 | — | 8 | 1 | no | — |
| 219 | C22⋊C4 | — | 8 | 1 | no | — |
| 220 | C22⋊C4 | — | 8 | 1 | no | — |
| 221 | C22⋊C4 | D16 | 1 | 1 | yes | characteristic |
| 222 | C22⋊C4 | D16 | 1 | 1 | yes | characteristic |
| 223 | C42 | — | 8 | 1 | no | — |
| 224 | C42 | — | 8 | 1 | no | — |
| 225 | C42 | — | 8 | 1 | no | — |
| 226 | C42 | C2×D8 | 1 | 1 | yes | characteristic |
| 227 | C16 | — | 2 | 1 | no | — |
| 228 | C16 | — | 2 | 1 | no | — |
| 229 | C16 | — | 2 | 1 | no | — |
| 230 | C16 | C2×#41 | 1 | 1 | yes | characteristic |
| 231 | C16 | 2−1+4 | 1 | 1 | yes | characteristic |
| 232 | C23 | C2×D16 | 1 | 1 | yes | characteristic |
| 233 | C23 | C2×D16 | 1 | 1 | yes | characteristic |
| 234 | Q8 | — | 8 | 1 | no | — |
| 235 | Q8 | — | 8 | 1 | no | — |
| 236 | Q8 | — | 8 | 1 | no | — |
| 237 | Q8 | — | 8 | 1 | no | — |
| 238 | Q8 | — | 32 | 1 | no | — |
| 239 | D4 | — | 2 | 2 | no | — |
| 240 | C2×C4 | — | 2 | 1 | no | — |
| 241 | C2×C4 | — | 2 | 1 | no | — |
| 242 | C2×C4 | — | 2 | 1 | no | — |
| 243 | C2×C4 | — | 2 | 1 | no | — |
| 244 | C2×C4 | — | 8 | 1 | no | — |
| 245 | C2×C4 | — | 8 | 1 | no | — |
| 246 | C2×C4 | — | 8 | 1 | no | — |
| 247 | C2×C4 | — | 8 | 1 | no | — |
| 248 | C2×C4 | — | 8 | 1 | no | — |
| 249 | C2×C4 | — | 8 | 1 | no | — |
| 250 | C2×C4 | — | 8 | 1 | no | — |
| 251 | C2×C4 | — | 8 | 1 | no | — |
| 252 | C2×C4 | — | 16 | 2 | no | — |
| 253 | C2×C4 | — | 32 | 1 | no | — |
| 254 | C2×C4 | — | 32 | 1 | no | — |
| 255 | C2×C4 | C2×D16 | 1 | 1 | yes | characteristic |
| 256 | C2×C4 | C2×D16 | 1 | 1 | yes | characteristic |
| 257 | C2×C4 | C2×D16 | 1 | 1 | yes | characteristic |
| 258 | C2×C4 | C2×D16 | 1 | 1 | yes | characteristic |
| 259 | C2×C4 | C22×D8 | 1 | 1 | yes | characteristic |
| 260 | C8 | — | 2 | 1 | no | — |
| 261 | C8 | — | 2 | 1 | no | — |
| 262 | C8 | — | 2 | 1 | no | — |
| 263 | C8 | #547 | 1 | 1 | yes | characteristic |
| 264 | C8 | #578 | 1 | 1 | yes | characteristic |
| 265 | C22 | — | 2 | 1 | no | — |
| 266 | C22 | — | 2 | 1 | no | — |
| 267 | C22 | — | 2 | 1 | no | — |
| 268 | C22 | — | 2 | 1 | no | — |
| 269 | C22 | — | 2 | 1 | no | — |
| 270 | C22 | #2264 | 1 | 2 | yes | — |
| 271 | C22 | C22×D16 | 1 | 1 | yes | characteristic |
| 272 | C4 | — | 2 | 1 | no | — |
| 273 | C4 | — | 2 | 1 | no | — |
| 274 | C4 | — | 2 | 1 | no | — |
| 275 | C4 | — | 2 | 1 | no | — |
| 276 | C4 | — | 16 | 1 | no | — |
| 277 | C4 | — | 16 | 1 | no | — |
| 278 | C4 | — | 16 | 1 | no | — |
| 279 | C4 | — | 16 | 1 | no | — |
| 280 | C4 | — | 16 | 1 | no | — |
| 281 | C4 | — | 16 | 1 | no | — |
| 282 | C4 | — | 16 | 1 | no | — |
| 283 | C4 | — | 16 | 1 | no | — |
| 284 | C4 | #3334 | 1 | 1 | yes | characteristic |
| 285 | C4 | #3417 | 1 | 1 | yes | characteristic |
| 286 | C2 | — | 2 | 2 | no | — |
| 287 | C2 | — | 4 | 1 | no | — |
| 288 | C2 | #33901 | 1 | 1 | yes | characteristic |
| 289 | C2 | C2×#2264 | 1 | 1 | yes | characteristic |
| 290 | C2 | #33983 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta