| 1 | C2×#2262 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #33713 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C4×#508 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13690 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #13689 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #13688 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #13687 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #13686 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #13685 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C2×C4⋊C32 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #13615 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | C2×#508 | — | 2 | 1 | no | — |
| 13 | C2×#508 | C22 | 1 | 2 | yes | — |
| 14 | C2×#508 | C22 | 1 | 1 | yes | characteristic |
| 15 | #3147 | — | 2 | 1 | no | — |
| 16 | C4×#135 | — | 2 | 1 | no | — |
| 17 | #2262 | — | 2 | 8 | no | — |
| 18 | C2×Q64 | C22 | 1 | 2 | yes | — |
| 19 | C2×SD64 | C22 | 1 | 2 | yes | — |
| 20 | C2×SD64 | C22 | 1 | 2 | yes | — |
| 21 | C2×D32 | C22 | 1 | 2 | yes | — |
| 22 | C22×C32 | C22 | 1 | 2 | yes | — |
| 23 | #2249 | — | 2 | 1 | no | — |
| 24 | #2249 | C22 | 1 | 2 | yes | — |
| 25 | #2248 | — | 2 | 1 | no | — |
| 26 | #2247 | C22 | 1 | 1 | yes | characteristic |
| 27 | #2246 | C22 | 1 | 1 | yes | characteristic |
| 28 | C4×Q32 | C22 | 1 | 1 | yes | characteristic |
| 29 | C4×Q32 | C22 | 1 | 1 | yes | characteristic |
| 30 | C4×SD32 | — | 2 | 1 | no | — |
| 31 | C4×SD32 | — | 2 | 1 | no | — |
| 32 | C4×D16 | C22 | 1 | 1 | yes | characteristic |
| 33 | C4×D16 | C22 | 1 | 1 | yes | characteristic |
| 34 | #2158 | C22 | 1 | 1 | yes | characteristic |
| 35 | #2138 | — | 2 | 1 | no | — |
| 36 | C2×C4×C16 | C22 | 1 | 1 | yes | characteristic |
| 37 | C4⋊C32 | C22 | 1 | 1 | yes | characteristic |
| 38 | C4⋊C32 | C22 | 1 | 1 | yes | characteristic |
| 39 | C4⋊C32 | C22 | 1 | 2 | yes | — |
| 40 | #1416 | C22 | 1 | 2 | yes | — |
| 41 | #1416 | C22 | 1 | 2 | yes | — |
| 42 | #1415 | C22 | 1 | 2 | yes | — |
| 43 | #1415 | C22 | 1 | 2 | yes | — |
| 44 | C2×#135 | — | 2 | 1 | no | — |
| 45 | C2×#135 | — | 2 | 2 | no | — |
| 46 | C2×#135 | — | 4 | 1 | no | — |
| 47 | #532 | — | 4 | 1 | no | — |
| 48 | C4×#41 | — | 4 | 1 | no | — |
| 49 | #508 | — | 2 | 4 | no | — |
| 50 | #508 | — | 2 | 2 | no | — |
| 51 | #508 | — | 2 | 4 | no | — |
| 52 | #508 | — | 4 | 4 | no | — |
| 53 | #508 | D4 | 1 | 4 | yes | complemented |
| 54 | C2×Q32 | — | 2 | 1 | no | — |
| 55 | C2×Q32 | C23 | 1 | 2 | yes | — |
| 56 | C2×Q32 | C23 | 1 | 1 | yes | characteristic |
| 57 | C2×SD32 | — | 2 | 1 | no | — |
| 58 | C2×SD32 | — | 2 | 2 | no | — |
| 59 | C2×SD32 | — | 2 | 2 | no | — |
| 60 | C2×D16 | — | 2 | 1 | no | — |
| 61 | C2×D16 | C23 | 1 | 2 | yes | — |
| 62 | C2×D16 | C23 | 1 | 1 | yes | characteristic |
| 63 | C22×C16 | D4 | 1 | 1 | yes | characteristic |
| 64 | C22×C16 | C23 | 1 | 1 | yes | characteristic |
| 65 | #495 | — | 2 | 2 | no | — |
| 66 | #495 | — | 4 | 1 | no | — |
| 67 | #494 | — | 2 | 1 | no | — |
| 68 | #493 | — | 2 | 1 | no | — |
| 69 | #492 | — | 4 | 1 | no | — |
| 70 | C4×Q16 | — | 2 | 1 | no | — |
| 71 | C4×Q16 | — | 2 | 1 | no | — |
| 72 | C4×SD16 | — | 4 | 1 | no | — |
| 73 | C4×SD16 | — | 4 | 1 | no | — |
| 74 | C4×D8 | — | 2 | 1 | no | — |
| 75 | C4×D8 | — | 2 | 1 | no | — |
| 76 | #427 | — | 2 | 1 | no | — |
| 77 | #416 | — | 4 | 1 | no | — |
| 78 | C2×C4×C8 | D4 | 1 | 1 | yes | characteristic |
| 79 | Q64 | — | 2 | 4 | no | — |
| 80 | SD64 | — | 2 | 4 | no | — |
| 81 | SD64 | — | 2 | 4 | no | — |
| 82 | D32 | — | 2 | 4 | no | — |
| 83 | C2×C32 | — | 2 | 4 | no | — |
| 84 | C2×C32 | C23 | 1 | 2 | yes | — |
| 85 | C2×C32 | C23 | 1 | 2 | yes | — |
| 86 | #367 | — | 2 | 1 | no | — |
| 87 | #366 | C23 | 1 | 1 | yes | characteristic |
| 88 | #366 | C23 | 1 | 1 | yes | characteristic |
| 89 | #358 | — | 2 | 1 | no | — |
| 90 | #358 | — | 2 | 1 | no | — |
| 91 | #357 | — | 2 | 1 | no | — |
| 92 | #357 | — | 2 | 1 | no | — |
| 93 | C4×C16 | D4 | 1 | 1 | yes | characteristic |
| 94 | C4×C16 | D4 | 1 | 1 | yes | characteristic |
| 95 | C4×C16 | C23 | 1 | 1 | yes | characteristic |
| 96 | C4×C16 | C23 | 1 | 1 | yes | characteristic |
| 97 | C2×#41 | — | 4 | 1 | no | — |
| 98 | C2×#41 | — | 4 | 2 | no | — |
| 99 | #135 | — | 2 | 4 | no | — |
| 100 | #135 | — | 4 | 4 | no | — |
| 101 | #135 | — | 4 | 2 | no | — |
| 102 | #135 | — | 4 | 4 | no | — |
| 103 | #135 | — | 8 | 4 | no | — |
| 104 | C2×Q16 | — | 2 | 1 | no | — |
| 105 | C2×Q16 | — | 2 | 2 | no | — |
| 106 | C2×Q16 | — | 4 | 1 | no | — |
| 107 | C2×SD16 | — | 4 | 1 | no | — |
| 108 | C2×SD16 | — | 4 | 2 | no | — |
| 109 | C2×SD16 | — | 4 | 2 | no | — |
| 110 | C2×D8 | — | 2 | 1 | no | — |
| 111 | C2×D8 | — | 2 | 2 | no | — |
| 112 | C2×D8 | — | 4 | 1 | no | — |
| 113 | C22×C8 | D8 | 1 | 1 | yes | characteristic |
| 114 | C22×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 115 | C4⋊Q8 | — | 4 | 1 | no | — |
| 116 | #127 | — | 4 | 1 | no | — |
| 117 | #124 | — | 4 | 2 | no | — |
| 118 | #121 | — | 8 | 1 | no | — |
| 119 | #121 | — | 8 | 1 | no | — |
| 120 | C4×Q8 | — | 4 | 1 | no | — |
| 121 | C4×Q8 | — | 4 | 1 | no | — |
| 122 | C4×D4 | — | 4 | 1 | no | — |
| 123 | C4×D4 | — | 4 | 1 | no | — |
| 124 | C4×D4 | — | 8 | 1 | no | — |
| 125 | C4×D4 | — | 8 | 1 | no | — |
| 126 | C4×D4 | — | 8 | 1 | no | — |
| 127 | C4×D4 | — | 8 | 1 | no | — |
| 128 | #117 | — | 4 | 1 | no | — |
| 129 | #117 | — | 8 | 1 | no | — |
| 130 | C2×C42 | — | 8 | 1 | no | — |
| 131 | C2×C42 | D8 | 1 | 1 | yes | characteristic |
| 132 | Q32 | — | 2 | 2 | no | — |
| 133 | Q32 | — | 2 | 1 | no | — |
| 134 | Q32 | — | 2 | 2 | no | — |
| 135 | Q32 | — | 4 | 2 | no | — |
| 136 | Q32 | C2×D4 | 1 | 2 | yes | — |
| 137 | SD32 | — | 2 | 4 | no | — |
| 138 | SD32 | — | 4 | 4 | no | — |
| 139 | SD32 | — | 4 | 4 | no | — |
| 140 | D16 | — | 2 | 2 | no | — |
| 141 | D16 | — | 2 | 1 | no | — |
| 142 | D16 | — | 2 | 2 | no | — |
| 143 | D16 | — | 4 | 2 | no | — |
| 144 | D16 | C2×D4 | 1 | 2 | yes | — |
| 145 | C2×C16 | — | 2 | 2 | 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 | C2×D4 | 1 | 2 | yes | — |
| 150 | C2×C16 | #41 | 1 | 2 | yes | — |
| 151 | C2×C16 | C24 | 1 | 1 | yes | characteristic |
| 152 | #107 | — | 2 | 1 | no | — |
| 153 | #107 | — | 2 | 1 | no | — |
| 154 | #106 | — | 4 | 1 | no | — |
| 155 | #103 | — | 4 | 1 | no | — |
| 156 | #103 | — | 4 | 1 | no | — |
| 157 | #102 | — | 4 | 1 | no | — |
| 158 | #102 | — | 4 | 1 | no | — |
| 159 | C4×C8 | D8 | 1 | 1 | yes | characteristic |
| 160 | C4×C8 | D8 | 1 | 1 | yes | characteristic |
| 161 | C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 162 | C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 163 | C32 | — | 2 | 2 | no | — |
| 164 | C32 | — | 2 | 2 | no | — |
| 165 | #41 | — | 4 | 4 | no | — |
| 166 | #41 | — | 8 | 2 | no | — |
| 167 | #41 | — | 8 | 4 | no | — |
| 168 | #41 | — | 8 | 4 | no | — |
| 169 | C2×Q8 | — | 4 | 1 | no | — |
| 170 | C2×Q8 | — | 4 | 2 | no | — |
| 171 | C2×D4 | — | 4 | 1 | no | — |
| 172 | C2×D4 | — | 4 | 2 | no | — |
| 173 | C2×D4 | — | 8 | 1 | no | — |
| 174 | C2×D4 | — | 8 | 2 | no | — |
| 175 | C2×D4 | — | 8 | 1 | no | — |
| 176 | C2×D4 | — | 8 | 1 | no | — |
| 177 | C22×C4 | — | 8 | 1 | no | — |
| 178 | C22×C4 | — | 8 | 1 | no | — |
| 179 | C22×C4 | — | 8 | 1 | no | — |
| 180 | C22×C4 | — | 8 | 2 | no | — |
| 181 | C22×C4 | D16 | 1 | 1 | yes | characteristic |
| 182 | C22×C4 | D16 | 1 | 1 | yes | characteristic |
| 183 | C22×C4 | C2×D8 | 1 | 1 | yes | characteristic |
| 184 | Q16 | — | 2 | 2 | no | — |
| 185 | Q16 | — | 4 | 2 | no | — |
| 186 | Q16 | — | 4 | 1 | no | — |
| 187 | Q16 | — | 4 | 2 | no | — |
| 188 | Q16 | — | 8 | 2 | no | — |
| 189 | SD16 | — | 4 | 4 | no | — |
| 190 | SD16 | — | 8 | 4 | no | — |
| 191 | SD16 | — | 8 | 4 | no | — |
| 192 | D8 | — | 2 | 2 | no | — |
| 193 | D8 | — | 4 | 2 | no | — |
| 194 | D8 | — | 4 | 1 | no | — |
| 195 | D8 | — | 4 | 2 | no | — |
| 196 | D8 | — | 8 | 2 | no | — |
| 197 | C2×C8 | — | 2 | 2 | no | — |
| 198 | C2×C8 | #121 | 1 | 2 | yes | — |
| 199 | C2×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 200 | C2×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 201 | C2×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 202 | C2×C8 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 203 | C2×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 204 | C4⋊C4 | — | 4 | 1 | no | — |
| 205 | C4⋊C4 | — | 4 | 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 | C22⋊C4 | — | 8 | 1 | no | — |
| 211 | C22⋊C4 | — | 8 | 1 | no | — |
| 212 | C22⋊C4 | — | 8 | 1 | no | — |
| 213 | C22⋊C4 | — | 8 | 2 | no | — |
| 214 | C22⋊C4 | — | 8 | 2 | no | — |
| 215 | C42 | — | 8 | 1 | no | — |
| 216 | C42 | — | 8 | 1 | no | — |
| 217 | C42 | — | 8 | 1 | no | — |
| 218 | C42 | D16 | 1 | 1 | yes | characteristic |
| 219 | C42 | D16 | 1 | 1 | yes | characteristic |
| 220 | C42 | C2×D8 | 1 | 1 | yes | characteristic |
| 221 | C42 | C2×D8 | 1 | 1 | yes | characteristic |
| 222 | C16 | — | 2 | 1 | no | — |
| 223 | C16 | — | 2 | 1 | no | — |
| 224 | C16 | #121 | 1 | 2 | yes | — |
| 225 | C16 | C22×D4 | 1 | 1 | yes | characteristic |
| 226 | C16 | C2×#41 | 1 | 1 | yes | characteristic |
| 227 | C23 | — | 8 | 1 | no | — |
| 228 | C23 | — | 8 | 2 | no | — |
| 229 | C23 | C2×D16 | 1 | 1 | yes | characteristic |
| 230 | Q8 | — | 4 | 2 | no | — |
| 231 | Q8 | — | 8 | 1 | no | — |
| 232 | Q8 | — | 8 | 2 | no | — |
| 233 | Q8 | — | 8 | 2 | no | — |
| 234 | D4 | — | 4 | 2 | no | — |
| 235 | D4 | — | 8 | 4 | no | — |
| 236 | D4 | — | 8 | 1 | no | — |
| 237 | D4 | — | 8 | 2 | no | — |
| 238 | D4 | — | 8 | 2 | no | — |
| 239 | D4 | — | 16 | 2 | no | — |
| 240 | D4 | — | 16 | 4 | no | — |
| 241 | D4 | — | 16 | 2 | no | — |
| 242 | C2×C4 | — | 2 | 2 | no | — |
| 243 | C2×C4 | — | 4 | 1 | no | — |
| 244 | C2×C4 | — | 8 | 1 | no | — |
| 245 | C2×C4 | — | 8 | 4 | no | — |
| 246 | C2×C4 | — | 8 | 1 | no | — |
| 247 | C2×C4 | — | 8 | 1 | no | — |
| 248 | C2×C4 | — | 8 | 2 | no | — |
| 249 | C2×C4 | — | 16 | 2 | no | — |
| 250 | C2×C4 | — | 16 | 4 | no | — |
| 251 | C2×C4 | — | 16 | 2 | no | — |
| 252 | C2×C4 | #459 | 1 | 2 | yes | — |
| 253 | C2×C4 | C2×D16 | 1 | 1 | yes | characteristic |
| 254 | C2×C4 | C2×D16 | 1 | 1 | yes | characteristic |
| 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 | #509 | 1 | 2 | yes | — |
| 259 | C2×C4 | C22×D8 | 1 | 1 | yes | characteristic |
| 260 | C8 | — | 2 | 1 | no | — |
| 261 | C8 | — | 2 | 1 | no | — |
| 262 | C8 | #459 | 1 | 2 | yes | — |
| 263 | C8 | C2×#121 | 1 | 1 | yes | characteristic |
| 264 | C8 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 265 | C22 | — | 2 | 1 | no | — |
| 266 | C22 | — | 2 | 1 | no | — |
| 267 | C22 | — | 8 | 2 | no | — |
| 268 | C22 | — | 16 | 1 | no | — |
| 269 | C22 | — | 16 | 1 | no | — |
| 270 | C22 | — | 16 | 2 | no | — |
| 271 | C22 | — | 16 | 2 | no | — |
| 272 | C22 | — | 16 | 2 | no | — |
| 273 | C22 | #2206 | 1 | 2 | yes | — |
| 274 | C22 | C22×D16 | 1 | 1 | yes | characteristic |
| 275 | C4 | — | 2 | 1 | no | — |
| 276 | C4 | — | 2 | 1 | no | — |
| 277 | C4 | — | 2 | 1 | no | — |
| 278 | C4 | — | 8 | 2 | no | — |
| 279 | C4 | — | 16 | 2 | no | — |
| 280 | C4 | — | 16 | 1 | no | — |
| 281 | C4 | — | 16 | 1 | no | — |
| 282 | C4 | #2206 | 1 | 2 | yes | — |
| 283 | C4 | #2262 | 1 | 2 | yes | complemented |
| 284 | C4 | C2×#459 | 1 | 1 | yes | characteristic |
| 285 | C4 | C2×#509 | 1 | 1 | yes | characteristic |
| 286 | C2 | — | 2 | 2 | no | — |
| 287 | C2 | — | 16 | 2 | no | — |
| 288 | C2 | — | 32 | 2 | no | — |
| 289 | C2 | C2×#2206 | 1 | 1 | yes | characteristic |
| 290 | C2 | C2×#2262 | 1 | 1 | yes | characteristic |
| 291 | C2 | #33981 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta