| 1 | C3×#541 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #5523 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #5090 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #5083 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #5066 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #5063 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #5047 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #5047 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #5044 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #5043 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #5030 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C4×#216 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #5026 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C4×#215 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #5000 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #3120 | — | 3 | 1 | no | maximal, Sylow |
| 17 | C2×#235 | C22 | 1 | 1 | yes | characteristic |
| 18 | C3×C4⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 19 | C3×#126 | — | 2 | 1 | no | — |
| 20 | C3×#126 | — | 2 | 1 | no | — |
| 21 | C3×#125 | — | 2 | 1 | no | — |
| 22 | C3×#125 | — | 2 | 1 | no | — |
| 23 | C3×#125 | C22 | 1 | 1 | yes | characteristic |
| 24 | C3×C22⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 25 | C3×C22⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 26 | C3×C4×Q8 | C22 | 1 | 1 | yes | characteristic |
| 27 | C3×C4×Q8 | C22 | 1 | 1 | yes | characteristic |
| 28 | C3×#117 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×#216 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#216 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×#215 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×#215 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×C4⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 34 | #892 | — | 2 | 1 | no | — |
| 35 | D3×C4⋊C4 | — | 2 | 1 | no | — |
| 36 | #67⋊C4 | — | 2 | 1 | no | — |
| 37 | #67⋊C4 | — | 2 | 1 | no | — |
| 38 | C4×D12 | C22 | 1 | 1 | yes | characteristic |
| 39 | C4×D12 | C22 | 1 | 1 | yes | characteristic |
| 40 | C4×Dic6 | C22 | 1 | 1 | yes | characteristic |
| 41 | C4×Dic6 | C22 | 1 | 1 | yes | characteristic |
| 42 | #835 | C22 | 1 | 1 | yes | characteristic |
| 43 | #835 | C22 | 1 | 1 | yes | characteristic |
| 44 | #835 | C22 | 1 | 1 | yes | characteristic |
| 45 | #835 | C22 | 1 | 1 | yes | characteristic |
| 46 | #830 | C22 | 1 | 1 | yes | characteristic |
| 47 | #830 | C22 | 1 | 1 | yes | characteristic |
| 48 | #810 | C22 | 1 | 1 | yes | characteristic |
| 49 | #810 | C22 | 1 | 1 | yes | characteristic |
| 50 | #809 | C22 | 1 | 1 | yes | characteristic |
| 51 | #809 | C22 | 1 | 1 | yes | characteristic |
| 52 | #808 | C22 | 1 | 1 | yes | characteristic |
| 53 | #808 | C22 | 1 | 1 | yes | characteristic |
| 54 | #807 | C22 | 1 | 1 | yes | characteristic |
| 55 | #807 | C22 | 1 | 1 | yes | characteristic |
| 56 | C4⋊(C3⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 57 | C4⋊(C3⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 58 | #803 | C22 | 1 | 1 | yes | characteristic |
| 59 | C4×C3⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 60 | #541 | D3 | 1 | 1 | yes | characteristic, complemented |
| 61 | #520 | — | 3 | 1 | no | — |
| 62 | #484 | — | 3 | 1 | no | — |
| 63 | #483 | — | 3 | 1 | no | — |
| 64 | #479 | — | 3 | 1 | no | — |
| 65 | #478 | — | 3 | 1 | no | — |
| 66 | #462 | — | 3 | 1 | no | — |
| 67 | #461 | — | 3 | 1 | no | — |
| 68 | #452 | — | 3 | 1 | no | — |
| 69 | #452 | — | 3 | 1 | no | — |
| 70 | #441 | — | 3 | 1 | no | — |
| 71 | #440 | — | 3 | 1 | no | — |
| 72 | C4×Q16 | — | 3 | 1 | no | — |
| 73 | C4×SD16 | — | 3 | 1 | no | — |
| 74 | #433 | — | 3 | 1 | no | — |
| 75 | C2×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 76 | C2×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 77 | C22×C3×C4 | C23 | 1 | 1 | yes | characteristic |
| 78 | C2×#67 | — | 2 | 1 | no | — |
| 79 | C22×Dic3 | — | 2 | 1 | no | — |
| 80 | #235 | — | 2 | 2 | no | — |
| 81 | #235 | — | 2 | 2 | no | — |
| 82 | C2×D12 | C23 | 1 | 1 | yes | characteristic |
| 83 | C2×C4×D3 | — | 2 | 1 | no | — |
| 84 | C2×C4×D3 | — | 2 | 1 | no | — |
| 85 | C2×C4×D3 | — | 2 | 1 | no | — |
| 86 | C2×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 87 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 88 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 89 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 90 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 91 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 92 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 93 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 94 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 95 | C3×C4⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 96 | C3×C4⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 97 | C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 98 | C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 99 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 100 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 101 | C3×C22⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 102 | C3×C22⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 103 | C3×C42 | — | 2 | 1 | no | — |
| 104 | C3×C42 | — | 2 | 1 | no | — |
| 105 | C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 106 | C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 107 | #216 | — | 2 | 2 | no | — |
| 108 | #216 | — | 2 | 2 | no | — |
| 109 | #215 | — | 2 | 2 | no | — |
| 110 | #215 | — | 2 | 2 | no | — |
| 111 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 112 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 113 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 114 | C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 115 | C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 116 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 117 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 118 | C4×Dic3 | — | 2 | 1 | no | — |
| 119 | C4×Dic3 | — | 2 | 1 | no | — |
| 120 | C2×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 121 | C2×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 122 | C2×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 123 | C2×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 124 | C2×#41 | — | 3 | 1 | no | — |
| 125 | C2×Q16 | — | 3 | 1 | no | — |
| 126 | C2×Q16 | — | 3 | 1 | no | — |
| 127 | C2×SD16 | — | 3 | 1 | no | — |
| 128 | C2×SD16 | — | 3 | 1 | no | — |
| 129 | C4⋊Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 130 | #126 | — | 2 | 1 | no | — |
| 131 | #126 | — | 2 | 1 | no | — |
| 132 | #125 | — | 2 | 1 | no | — |
| 133 | #125 | — | 2 | 1 | no | — |
| 134 | #125 | C2×D3 | 1 | 1 | yes | characteristic |
| 135 | C22⋊Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 136 | C22⋊Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 137 | C4×Q8 | — | 3 | 1 | no | — |
| 138 | C4×Q8 | — | 3 | 1 | no | — |
| 139 | C4×Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 140 | C4×Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 141 | C4×D4 | — | 3 | 1 | no | — |
| 142 | C4×D4 | — | 3 | 1 | no | — |
| 143 | C4×D4 | — | 6 | 1 | no | — |
| 144 | C4×D4 | — | 6 | 1 | no | — |
| 145 | #117 | — | 6 | 1 | no | — |
| 146 | #117 | C2×D3 | 1 | 1 | yes | characteristic |
| 147 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 148 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 149 | #107 | — | 3 | 1 | no | — |
| 150 | #107 | — | 3 | 1 | no | — |
| 151 | #106 | — | 3 | 1 | no | — |
| 152 | #106 | — | 3 | 1 | no | — |
| 153 | C4⋊C8 | — | 3 | 1 | no | — |
| 154 | C4⋊C8 | — | 3 | 1 | no | — |
| 155 | #103 | — | 3 | 1 | no | — |
| 156 | #103 | — | 3 | 1 | no | — |
| 157 | #103 | — | 3 | 1 | no | — |
| 158 | #103 | — | 3 | 1 | no | — |
| 159 | #103 | — | 3 | 1 | no | — |
| 160 | #103 | — | 3 | 1 | no | — |
| 161 | #102 | — | 3 | 1 | no | — |
| 162 | #102 | — | 3 | 1 | no | — |
| 163 | C22⋊C8 | — | 3 | 1 | no | — |
| 164 | C22⋊C8 | — | 3 | 1 | no | — |
| 165 | #97 | — | 3 | 1 | no | — |
| 166 | C4×C8 | — | 3 | 1 | no | — |
| 167 | C23×C3 | C2×D4 | 1 | 1 | yes | characteristic |
| 168 | C22×D3 | — | 2 | 1 | no | — |
| 169 | C3×Q8 | — | 2 | 1 | no | — |
| 170 | C3×Q8 | — | 2 | 1 | no | — |
| 171 | C3×Q8 | — | 2 | 1 | no | — |
| 172 | C3×Q8 | — | 2 | 1 | no | — |
| 173 | C2×C3×C4 | — | 2 | 1 | no | — |
| 174 | C2×C3×C4 | — | 2 | 1 | no | — |
| 175 | C2×C3×C4 | — | 2 | 1 | no | — |
| 176 | C2×C3×C4 | — | 2 | 1 | no | — |
| 177 | C2×C3×C4 | — | 2 | 1 | no | — |
| 178 | C2×C3×C4 | — | 2 | 1 | no | — |
| 179 | C2×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 180 | C2×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 181 | C2×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 182 | C2×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 183 | C2×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 184 | C2×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 185 | #67 | — | 2 | 4 | no | — |
| 186 | C2×Dic3 | — | 2 | 1 | no | — |
| 187 | C2×Dic3 | — | 2 | 1 | no | — |
| 188 | C2×Dic3 | — | 2 | 1 | no | — |
| 189 | C2×Dic3 | — | 8 | 1 | no | — |
| 190 | D12 | — | 2 | 1 | no | — |
| 191 | D12 | #41 | 1 | 2 | yes | — |
| 192 | C4×D3 | — | 2 | 4 | no | — |
| 193 | C4×D3 | — | 8 | 1 | no | — |
| 194 | C4×D3 | — | 8 | 1 | no | — |
| 195 | Dic6 | — | 2 | 1 | no | — |
| 196 | Dic6 | #41 | 1 | 2 | yes | — |
| 197 | C3⋊C8 | — | 2 | 1 | no | — |
| 198 | C3⋊C8 | — | 2 | 1 | no | — |
| 199 | C3⋊C8 | — | 2 | 1 | no | — |
| 200 | C3⋊C8 | — | 2 | 1 | no | — |
| 201 | #41 | — | 6 | 2 | no | — |
| 202 | #41 | — | 6 | 2 | no | — |
| 203 | C2×Q8 | — | 3 | 1 | no | — |
| 204 | C2×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 205 | C2×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 206 | C2×D4 | — | 3 | 1 | no | — |
| 207 | C2×D4 | — | 6 | 1 | no | — |
| 208 | C22×C4 | — | 6 | 1 | no | — |
| 209 | C22×C4 | — | 6 | 1 | no | — |
| 210 | C22×C4 | — | 6 | 1 | no | — |
| 211 | C22×C4 | — | 6 | 1 | no | — |
| 212 | C22×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 213 | Q16 | — | 6 | 2 | no | — |
| 214 | Q16 | — | 6 | 2 | no | — |
| 215 | SD16 | — | 6 | 2 | no | — |
| 216 | SD16 | — | 6 | 2 | no | — |
| 217 | C2×C8 | — | 3 | 1 | no | — |
| 218 | C2×C8 | — | 3 | 1 | no | — |
| 219 | C2×C8 | — | 3 | 1 | no | — |
| 220 | C2×C8 | — | 3 | 1 | no | — |
| 221 | C4⋊C4 | — | 2 | 1 | no | — |
| 222 | C4⋊C4 | — | 2 | 1 | no | — |
| 223 | C4⋊C4 | — | 2 | 1 | no | — |
| 224 | C4⋊C4 | — | 2 | 1 | no | — |
| 225 | C4⋊C4 | — | 2 | 1 | no | — |
| 226 | C4⋊C4 | — | 2 | 1 | no | — |
| 227 | C4⋊C4 | — | 2 | 1 | no | — |
| 228 | C4⋊C4 | — | 2 | 1 | no | — |
| 229 | C4⋊C4 | — | 3 | 1 | no | — |
| 230 | C4⋊C4 | — | 3 | 1 | no | — |
| 231 | C4⋊C4 | — | 6 | 1 | no | — |
| 232 | C4⋊C4 | — | 6 | 1 | no | — |
| 233 | C4⋊C4 | — | 6 | 1 | no | — |
| 234 | C4⋊C4 | #67 | 1 | 1 | yes | characteristic |
| 235 | C4⋊C4 | #67 | 1 | 1 | yes | characteristic |
| 236 | C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 237 | C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 238 | C22⋊C4 | — | 2 | 1 | no | — |
| 239 | C22⋊C4 | — | 2 | 1 | no | — |
| 240 | C22⋊C4 | — | 6 | 1 | no | — |
| 241 | C22⋊C4 | — | 6 | 1 | no | — |
| 242 | C22⋊C4 | #67 | 1 | 1 | yes | characteristic |
| 243 | C22⋊C4 | #67 | 1 | 1 | yes | characteristic |
| 244 | C42 | — | 2 | 1 | no | — |
| 245 | C42 | — | 2 | 1 | no | — |
| 246 | C42 | — | 6 | 1 | no | — |
| 247 | C42 | — | 6 | 1 | no | — |
| 248 | C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 249 | C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 250 | C22×C3 | — | 2 | 1 | no | — |
| 251 | C22×C3 | — | 2 | 1 | no | — |
| 252 | C22×C3 | — | 2 | 1 | no | — |
| 253 | C22×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 254 | C2×D3 | — | 2 | 2 | no | — |
| 255 | C2×D3 | — | 4 | 1 | no | — |
| 256 | C2×D3 | — | 4 | 1 | no | — |
| 257 | C3×C4 | — | 2 | 1 | no | — |
| 258 | C3×C4 | — | 2 | 1 | no | — |
| 259 | C3×C4 | — | 2 | 1 | no | — |
| 260 | C3×C4 | — | 2 | 1 | no | — |
| 261 | C3×C4 | — | 2 | 1 | no | — |
| 262 | C3×C4 | — | 4 | 1 | no | — |
| 263 | C3×C4 | — | 4 | 1 | no | — |
| 264 | C3×C4 | — | 4 | 1 | no | — |
| 265 | C3×C4 | — | 4 | 1 | no | — |
| 266 | C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 267 | C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 268 | Dic3 | — | 2 | 2 | no | — |
| 269 | Dic3 | — | 4 | 1 | no | — |
| 270 | Dic3 | — | 4 | 1 | no | — |
| 271 | C23 | — | 6 | 1 | no | — |
| 272 | C23 | C2×#67 | 1 | 1 | yes | characteristic |
| 273 | Q8 | — | 2 | 1 | no | — |
| 274 | Q8 | — | 2 | 1 | no | — |
| 275 | Q8 | — | 2 | 1 | no | — |
| 276 | Q8 | — | 2 | 1 | no | — |
| 277 | Q8 | — | 3 | 2 | no | — |
| 278 | Q8 | — | 6 | 1 | no | — |
| 279 | D4 | — | 3 | 2 | no | — |
| 280 | D4 | — | 6 | 4 | no | — |
| 281 | D4 | — | 6 | 1 | no | — |
| 282 | C2×C4 | — | 2 | 1 | no | — |
| 283 | C2×C4 | — | 2 | 1 | no | — |
| 284 | C2×C4 | — | 2 | 1 | no | — |
| 285 | C2×C4 | — | 2 | 1 | no | — |
| 286 | C2×C4 | — | 2 | 1 | no | — |
| 287 | C2×C4 | — | 2 | 1 | no | — |
| 288 | C2×C4 | — | 6 | 4 | no | — |
| 289 | C2×C4 | — | 6 | 1 | no | — |
| 290 | C2×C4 | — | 6 | 1 | no | — |
| 291 | C2×C4 | — | 6 | 1 | no | — |
| 292 | C2×C4 | — | 24 | 1 | no | — |
| 293 | C2×C4 | — | 24 | 1 | no | — |
| 294 | C2×C4 | — | 24 | 1 | no | — |
| 295 | C2×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 296 | C2×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 297 | C2×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 298 | C2×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 299 | C2×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 300 | C2×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 301 | C8 | — | 6 | 1 | no | — |
| 302 | C8 | — | 6 | 1 | no | — |
| 303 | C8 | — | 6 | 1 | no | — |
| 304 | C8 | — | 6 | 1 | no | — |
| 305 | C2×C3 | — | 4 | 1 | no | — |
| 306 | C2×C3 | #525 | 1 | 1 | yes | characteristic |
| 307 | C2×C3 | #577 | 1 | 1 | yes | characteristic |
| 308 | C2×C3 | #578 | 1 | 1 | yes | characteristic |
| 309 | D3 | — | 4 | 2 | no | — |
| 310 | C22 | — | 2 | 1 | no | — |
| 311 | C22 | — | 2 | 1 | no | — |
| 312 | C22 | — | 2 | 1 | no | — |
| 313 | C22 | — | 6 | 2 | no | — |
| 314 | C22 | — | 12 | 1 | no | — |
| 315 | C22 | — | 12 | 1 | no | — |
| 316 | C22 | C22×#67 | 1 | 1 | yes | characteristic |
| 317 | C4 | — | 2 | 1 | no | — |
| 318 | C4 | — | 2 | 1 | no | — |
| 319 | C4 | — | 2 | 1 | no | — |
| 320 | C4 | — | 2 | 1 | no | — |
| 321 | C4 | — | 2 | 1 | no | — |
| 322 | C4 | — | 4 | 1 | no | — |
| 323 | C4 | — | 4 | 1 | no | — |
| 324 | C4 | — | 4 | 1 | no | — |
| 325 | C4 | — | 4 | 1 | no | — |
| 326 | C4 | — | 6 | 2 | no | — |
| 327 | C4 | — | 12 | 1 | no | — |
| 328 | C4 | — | 12 | 1 | no | — |
| 329 | C4 | D3×#41 | 1 | 1 | yes | characteristic |
| 330 | C4 | D3×#41 | 1 | 1 | yes | characteristic |
| 331 | C3 | #3120 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 332 | C2 | — | 4 | 1 | no | — |
| 333 | C2 | — | 12 | 2 | no | — |
| 334 | C2 | #5828 | 1 | 1 | yes | characteristic |
| 335 | C2 | #5837 | 1 | 1 | yes | characteristic |
| 336 | C2 | #5838 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta