| 1 | C3×C4×D4×C9 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#88544 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C2×#88543 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11721712 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11720528 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11720527 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C4⋊(C3⋊(C9⋊C8)) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10592715 | — | 3 | 1 | no | maximal |
| 9 | #10588699 | — | 3 | 3 | no | maximal |
| 10 | C2×C3×D4×C9 | C22 | 1 | 1 | yes | characteristic |
| 11 | C22×C3×C4×C9 | — | 2 | 1 | no | — |
| 12 | C2×C4⋊(C3⋊D9) | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×#6226 | C22 | 1 | 1 | yes | characteristic |
| 14 | C3×C9×C4⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 15 | C3×C9×C22⋊C4 | — | 2 | 1 | no | — |
| 16 | C3×C42×C9 | C22 | 1 | 1 | yes | characteristic |
| 17 | #88544 | — | 2 | 2 | no | — |
| 18 | #88543 | — | 2 | 2 | no | — |
| 19 | #88536 | — | 2 | 1 | no | — |
| 20 | #88536 | — | 2 | 1 | no | — |
| 21 | C2×C3⋊(C9⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×C3⋊(C9⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 23 | C32×C4×D4 | D3 | 1 | 1 | yes | characteristic |
| 24 | C2×#3754 | — | 3 | 1 | no | — |
| 25 | C2×#3753 | — | 3 | 1 | no | — |
| 26 | #64084 | — | 3 | 1 | no | — |
| 27 | #63637 | — | 3 | 1 | no | — |
| 28 | #63636 | — | 3 | 1 | no | — |
| 29 | C4⋊(C3⋊(C3⋊C8)) | — | 3 | 1 | no | — |
| 30 | C4×D4×C9 | D3 | 1 | 3 | yes | complemented |
| 31 | C2×#3673 | — | 3 | 3 | no | — |
| 32 | C2×#3672 | — | 3 | 3 | no | — |
| 33 | #63437 | — | 3 | 3 | no | — |
| 34 | #63369 | — | 3 | 3 | no | — |
| 35 | #63368 | — | 3 | 3 | no | — |
| 36 | C4⋊(C9⋊C8) | — | 3 | 3 | no | — |
| 37 | C23×C3×C9 | — | 2 | 1 | no | — |
| 38 | C22×C3⋊D9 | — | 2 | 1 | no | — |
| 39 | C3×D4×C9 | — | 2 | 1 | no | — |
| 40 | C3×D4×C9 | D4 | 1 | 2 | yes | — |
| 41 | C2×C3×C4×C9 | — | 2 | 1 | no | — |
| 42 | C2×C3×C4×C9 | — | 4 | 2 | no | — |
| 43 | C2×C3×C4×C9 | D4 | 1 | 1 | yes | characteristic |
| 44 | C2×C3×C4×C9 | D4 | 1 | 1 | yes | characteristic |
| 45 | C2×C3×C4×C9 | C23 | 1 | 1 | yes | characteristic |
| 46 | C2×C3⋊Dic9 | — | 2 | 1 | no | — |
| 47 | C4⋊(C3⋊D9) | — | 2 | 1 | no | — |
| 48 | C4⋊(C3⋊D9) | — | 2 | 1 | no | — |
| 49 | #6226 | — | 2 | 1 | no | — |
| 50 | #6226 | — | 2 | 1 | no | — |
| 51 | C3⋊(C9⋊C8) | — | 2 | 1 | no | — |
| 52 | C3⋊(C9⋊C8) | — | 2 | 1 | no | — |
| 53 | #5016 | — | 9 | 3 | no | — |
| 54 | #5016 | — | 9 | 1 | no | — |
| 55 | C2×C32×D4 | C2×D3 | 1 | 1 | yes | characteristic |
| 56 | C22×C32×C4 | — | 2 | 1 | no | — |
| 57 | C2×C4⋊(C3⋊D3) | — | 3 | 1 | no | — |
| 58 | C2×#634 | — | 3 | 1 | no | — |
| 59 | C32×C4⋊C4 | C2×D3 | 1 | 1 | yes | characteristic |
| 60 | C32×C22⋊C4 | — | 2 | 1 | no | — |
| 61 | C32×C42 | C2×D3 | 1 | 1 | yes | characteristic |
| 62 | #3754 | — | 6 | 2 | no | — |
| 63 | #3753 | — | 6 | 2 | no | — |
| 64 | #3752 | — | 6 | 1 | no | — |
| 65 | #3752 | — | 6 | 1 | no | — |
| 66 | C2×C3⋊(C3⋊C8) | — | 3 | 1 | no | — |
| 67 | C2×C3⋊(C3⋊C8) | — | 3 | 1 | no | — |
| 68 | C2×D4×C9 | C2×D3 | 1 | 3 | yes | — |
| 69 | C22×C4×C9 | — | 2 | 3 | no | — |
| 70 | C2×D36 | — | 3 | 3 | no | — |
| 71 | C2×Dic18 | — | 3 | 3 | no | — |
| 72 | C9×C4⋊C4 | C2×D3 | 1 | 3 | yes | — |
| 73 | C9×C22⋊C4 | — | 2 | 3 | no | — |
| 74 | C42×C9 | C2×D3 | 1 | 3 | yes | — |
| 75 | #3673 | — | 6 | 6 | no | — |
| 76 | #3672 | — | 6 | 6 | no | — |
| 77 | (C2×D9)⋊C4 | — | 6 | 3 | no | — |
| 78 | (C2×D9)⋊C4 | — | 6 | 3 | no | — |
| 79 | C2×C9⋊C8 | — | 3 | 3 | no | — |
| 80 | C2×C9⋊C8 | — | 3 | 3 | no | — |
| 81 | C22×C3×C9 | — | 2 | 2 | no | — |
| 82 | C22×C3×C9 | — | 4 | 1 | no | — |
| 83 | C22×C3×C9 | — | 4 | 1 | no | — |
| 84 | C22×C3×C9 | C2×D4 | 1 | 1 | yes | characteristic |
| 85 | C2×C3⋊D9 | — | 4 | 1 | no | — |
| 86 | C2×C3⋊D9 | — | 4 | 1 | no | — |
| 87 | C2×C3⋊D9 | — | 4 | 1 | no | — |
| 88 | C3×C4×C9 | — | 2 | 1 | no | — |
| 89 | C3×C4×C9 | — | 2 | 1 | no | — |
| 90 | C3×C4×C9 | — | 4 | 1 | no | — |
| 91 | C3×C4×C9 | C2×D4 | 1 | 1 | yes | characteristic |
| 92 | C3×C4×C9 | #41 | 1 | 1 | yes | characteristic |
| 93 | C3⋊Dic9 | — | 4 | 1 | no | — |
| 94 | C3×C4×D4 | D9 | 1 | 3 | yes | complemented |
| 95 | C3×C4×D4 | C3⋊D3 | 1 | 1 | yes | characteristic |
| 96 | C2×#214 | — | 9 | 3 | no | — |
| 97 | C2×#214 | — | 9 | 1 | no | — |
| 98 | C2×#213 | — | 9 | 3 | no | — |
| 99 | C2×#213 | — | 9 | 1 | no | — |
| 100 | #875 | — | 9 | 3 | no | — |
| 101 | #875 | — | 9 | 1 | no | — |
| 102 | #810 | — | 9 | 3 | no | — |
| 103 | #810 | — | 9 | 1 | no | — |
| 104 | #809 | — | 9 | 3 | no | — |
| 105 | #809 | — | 9 | 1 | no | — |
| 106 | C4⋊(C3⋊C8) | — | 9 | 3 | no | — |
| 107 | C4⋊(C3⋊C8) | — | 9 | 1 | no | — |
| 108 | C23×C32 | — | 2 | 1 | no | — |
| 109 | C22×C3⋊D3 | — | 6 | 1 | no | — |
| 110 | C32×D4 | — | 2 | 1 | no | — |
| 111 | C32×D4 | D12 | 1 | 2 | yes | — |
| 112 | C2×C32×C4 | — | 2 | 1 | no | — |
| 113 | C2×C32×C4 | — | 4 | 2 | no | — |
| 114 | C2×C32×C4 | #67 | 1 | 1 | yes | characteristic |
| 115 | C2×C32×C4 | #67 | 1 | 1 | yes | characteristic |
| 116 | C2×C32×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 117 | C2×C3⋊Dic3 | — | 6 | 1 | no | — |
| 118 | C4⋊(C3⋊D3) | — | 6 | 1 | no | — |
| 119 | C4⋊(C3⋊D3) | — | 6 | 1 | no | — |
| 120 | #634 | — | 6 | 1 | no | — |
| 121 | #634 | — | 6 | 1 | no | — |
| 122 | C23×C9 | — | 2 | 3 | no | — |
| 123 | C22×D9 | — | 6 | 3 | no | — |
| 124 | C3⋊(C3⋊C8) | — | 6 | 1 | no | — |
| 125 | C3⋊(C3⋊C8) | — | 6 | 1 | no | — |
| 126 | D4×C9 | — | 2 | 3 | no | — |
| 127 | D4×C9 | D12 | 1 | 6 | yes | — |
| 128 | C2×C4×C9 | — | 2 | 3 | no | — |
| 129 | C2×C4×C9 | — | 4 | 6 | no | — |
| 130 | C2×C4×C9 | #67 | 1 | 3 | yes | — |
| 131 | C2×C4×C9 | #67 | 1 | 3 | yes | — |
| 132 | C2×C4×C9 | C22×D3 | 1 | 3 | yes | — |
| 133 | C2×Dic9 | — | 6 | 3 | no | — |
| 134 | D36 | — | 6 | 3 | no | — |
| 135 | D36 | — | 6 | 3 | no | — |
| 136 | Dic18 | — | 6 | 3 | no | — |
| 137 | Dic18 | — | 6 | 3 | no | — |
| 138 | C9⋊C8 | — | 6 | 3 | no | — |
| 139 | C9⋊C8 | — | 6 | 3 | no | — |
| 140 | #463 | — | 27 | 1 | no | Sylow |
| 141 | C2×C3×C9 | — | 4 | 2 | no | — |
| 142 | C2×C3×C9 | #121 | 1 | 1 | yes | characteristic |
| 143 | C2×C3×C9 | #135 | 1 | 1 | yes | characteristic |
| 144 | C2×C3×C9 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 145 | C3⋊D9 | — | 8 | 1 | no | — |
| 146 | C2×C3×D4 | C2×D9 | 1 | 3 | yes | — |
| 147 | C2×C3×D4 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 148 | C22×C3×C4 | — | 2 | 3 | no | — |
| 149 | C22×C3×C4 | — | 2 | 1 | no | — |
| 150 | C2×D12 | — | 9 | 3 | no | — |
| 151 | C2×D12 | — | 9 | 1 | no | — |
| 152 | C2×Dic6 | — | 9 | 3 | no | — |
| 153 | C2×Dic6 | — | 9 | 1 | no | — |
| 154 | C3×C4⋊C4 | C2×D9 | 1 | 3 | yes | — |
| 155 | C3×C4⋊C4 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 156 | C3×C22⋊C4 | — | 2 | 3 | no | — |
| 157 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 158 | C3×C42 | C2×D9 | 1 | 3 | yes | — |
| 159 | C3×C42 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 160 | #214 | — | 18 | 6 | no | — |
| 161 | #214 | — | 18 | 2 | no | — |
| 162 | #213 | — | 18 | 6 | no | — |
| 163 | #213 | — | 18 | 2 | no | — |
| 164 | (C2×D3)⋊C4 | — | 18 | 3 | no | — |
| 165 | (C2×D3)⋊C4 | — | 18 | 3 | no | — |
| 166 | (C2×D3)⋊C4 | — | 18 | 1 | no | — |
| 167 | (C2×D3)⋊C4 | — | 18 | 1 | no | — |
| 168 | C2×C3⋊C8 | — | 9 | 3 | no | — |
| 169 | C2×C3⋊C8 | — | 9 | 3 | no | — |
| 170 | C2×C3⋊C8 | — | 9 | 1 | no | — |
| 171 | C2×C3⋊C8 | — | 9 | 1 | no | — |
| 172 | C22×C32 | — | 2 | 2 | no | — |
| 173 | C22×C32 | — | 4 | 1 | no | — |
| 174 | C22×C32 | — | 4 | 1 | no | — |
| 175 | C22×C32 | C2×#67 | 1 | 1 | yes | characteristic |
| 176 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 177 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 178 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 179 | C32×C4 | — | 2 | 1 | no | — |
| 180 | C32×C4 | — | 2 | 1 | no | — |
| 181 | C32×C4 | — | 4 | 1 | no | — |
| 182 | C32×C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 183 | C32×C4 | #235 | 1 | 1 | yes | characteristic |
| 184 | C3⋊Dic3 | — | 12 | 1 | no | — |
| 185 | C22×C9 | — | 2 | 6 | no | — |
| 186 | C22×C9 | — | 4 | 3 | no | — |
| 187 | C22×C9 | — | 4 | 3 | no | — |
| 188 | C22×C9 | C2×#67 | 1 | 3 | yes | — |
| 189 | C2×D9 | — | 12 | 3 | no | — |
| 190 | C2×D9 | — | 12 | 3 | no | — |
| 191 | C2×D9 | — | 12 | 3 | no | — |
| 192 | C4×C9 | — | 2 | 3 | no | — |
| 193 | C4×C9 | — | 2 | 3 | no | — |
| 194 | C4×C9 | — | 4 | 3 | no | — |
| 195 | C4×C9 | C2×D12 | 1 | 3 | yes | — |
| 196 | C4×C9 | #235 | 1 | 3 | yes | — |
| 197 | Dic9 | — | 12 | 3 | no | — |
| 198 | C2×SD16 | — | 27 | 1 | no | — |
| 199 | C2×D8 | — | 27 | 1 | no | — |
| 200 | #124 | — | 27 | 1 | no | — |
| 201 | C4×D4 | C3⋊D9 | 1 | 1 | yes | characteristic, complemented |
| 202 | C4⋊C8 | — | 27 | 1 | no | — |
| 203 | #103 | — | 27 | 1 | no | — |
| 204 | #102 | — | 27 | 1 | no | — |
| 205 | C3×C9 | #463 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 206 | C23×C3 | — | 2 | 3 | no | — |
| 207 | C23×C3 | — | 2 | 1 | no | — |
| 208 | C22×D3 | — | 18 | 3 | no | — |
| 209 | C22×D3 | — | 18 | 1 | no | — |
| 210 | C3×D4 | — | 2 | 3 | no | — |
| 211 | C3×D4 | — | 2 | 1 | no | — |
| 212 | C3×D4 | D36 | 1 | 6 | yes | — |
| 213 | C3×D4 | C4⋊(C3⋊D3) | 1 | 2 | yes | — |
| 214 | C2×C3×C4 | — | 2 | 3 | no | — |
| 215 | C2×C3×C4 | — | 2 | 1 | no | — |
| 216 | C2×C3×C4 | — | 4 | 2 | no | — |
| 217 | C2×C3×C4 | — | 4 | 6 | no | — |
| 218 | C2×C3×C4 | #611 | 1 | 3 | yes | — |
| 219 | C2×C3×C4 | #611 | 1 | 3 | yes | — |
| 220 | C2×C3×C4 | C22×D9 | 1 | 3 | yes | — |
| 221 | C2×C3×C4 | #638 | 1 | 1 | yes | characteristic |
| 222 | C2×C3×C4 | #638 | 1 | 1 | yes | characteristic |
| 223 | C2×C3×C4 | C22×C3⋊D3 | 1 | 1 | yes | characteristic |
| 224 | C2×Dic3 | — | 18 | 3 | no | — |
| 225 | C2×Dic3 | — | 18 | 1 | no | — |
| 226 | D12 | — | 18 | 3 | no | — |
| 227 | D12 | — | 18 | 3 | no | — |
| 228 | D12 | — | 18 | 1 | no | — |
| 229 | D12 | — | 18 | 1 | no | — |
| 230 | Dic6 | — | 18 | 3 | no | — |
| 231 | Dic6 | — | 18 | 3 | no | — |
| 232 | Dic6 | — | 18 | 1 | no | — |
| 233 | Dic6 | — | 18 | 1 | no | — |
| 234 | C3⋊C8 | — | 18 | 3 | no | — |
| 235 | C3⋊C8 | — | 18 | 3 | no | — |
| 236 | C3⋊C8 | — | 18 | 1 | no | — |
| 237 | C3⋊C8 | — | 18 | 1 | no | — |
| 238 | C2×C32 | — | 4 | 2 | no | — |
| 239 | C2×C32 | #930 | 1 | 1 | yes | characteristic |
| 240 | C2×C32 | #932 | 1 | 1 | yes | characteristic |
| 241 | C2×C32 | #950 | 1 | 1 | yes | characteristic |
| 242 | C3⋊D3 | — | 24 | 1 | no | — |
| 243 | C2×C9 | — | 4 | 6 | no | — |
| 244 | C2×C9 | #930 | 1 | 3 | yes | — |
| 245 | C2×C9 | #932 | 1 | 3 | yes | — |
| 246 | C2×C9 | #950 | 1 | 3 | yes | — |
| 247 | D9 | — | 24 | 3 | no | — |
| 248 | C2×Q8 | — | 27 | 1 | no | — |
| 249 | C2×D4 | — | 27 | 1 | no | — |
| 250 | C2×D4 | C2×C3⋊D9 | 1 | 1 | yes | characteristic |
| 251 | C22×C4 | — | 2 | 1 | no | — |
| 252 | SD16 | — | 54 | 2 | no | — |
| 253 | D8 | — | 54 | 2 | no | — |
| 254 | C2×C8 | — | 27 | 1 | no | — |
| 255 | C2×C8 | — | 27 | 1 | no | — |
| 256 | C4⋊C4 | C2×C3⋊D9 | 1 | 1 | yes | characteristic |
| 257 | C22⋊C4 | — | 2 | 1 | no | — |
| 258 | C22⋊C4 | — | 54 | 1 | no | — |
| 259 | C22⋊C4 | — | 54 | 1 | no | — |
| 260 | C42 | C2×C3⋊D9 | 1 | 1 | yes | characteristic |
| 261 | C22×C3 | — | 2 | 6 | no | — |
| 262 | C22×C3 | — | 2 | 2 | no | — |
| 263 | C22×C3 | — | 4 | 3 | no | — |
| 264 | C22×C3 | — | 4 | 3 | no | — |
| 265 | C22×C3 | — | 4 | 1 | no | — |
| 266 | C22×C3 | — | 4 | 1 | no | — |
| 267 | C22×C3 | C2×#611 | 1 | 3 | yes | — |
| 268 | C22×C3 | C2×#638 | 1 | 1 | yes | characteristic |
| 269 | C2×D3 | — | 36 | 3 | no | — |
| 270 | C2×D3 | — | 36 | 3 | no | — |
| 271 | C2×D3 | — | 36 | 3 | no | — |
| 272 | C2×D3 | — | 36 | 1 | no | — |
| 273 | C2×D3 | — | 36 | 1 | no | — |
| 274 | C2×D3 | — | 36 | 1 | no | — |
| 275 | C3×C4 | — | 2 | 3 | no | — |
| 276 | C3×C4 | — | 2 | 3 | no | — |
| 277 | C3×C4 | — | 2 | 1 | no | — |
| 278 | C3×C4 | — | 2 | 1 | no | — |
| 279 | C3×C4 | — | 4 | 3 | no | — |
| 280 | C3×C4 | — | 4 | 1 | no | — |
| 281 | C3×C4 | C2×D36 | 1 | 3 | yes | — |
| 282 | C3×C4 | #3697 | 1 | 3 | yes | — |
| 283 | C3×C4 | C2×C4⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 284 | C3×C4 | #3828 | 1 | 1 | yes | characteristic |
| 285 | Dic3 | — | 36 | 3 | no | — |
| 286 | Dic3 | — | 36 | 1 | no | — |
| 287 | C32 | #5016 | 1 | 1 | yes | characteristic |
| 288 | C9 | #5016 | 1 | 3 | yes | complemented |
| 289 | C23 | — | 2 | 1 | no | — |
| 290 | C23 | — | 54 | 1 | no | — |
| 291 | Q8 | — | 54 | 1 | no | — |
| 292 | Q8 | — | 54 | 1 | no | — |
| 293 | D4 | — | 2 | 1 | no | — |
| 294 | D4 | — | 54 | 1 | no | — |
| 295 | D4 | — | 54 | 1 | no | — |
| 296 | D4 | C4⋊(C3⋊D9) | 1 | 2 | yes | — |
| 297 | C2×C4 | — | 2 | 1 | no | — |
| 298 | C2×C4 | — | 4 | 2 | no | — |
| 299 | C2×C4 | — | 54 | 1 | no | — |
| 300 | C2×C4 | #6233 | 1 | 1 | yes | characteristic |
| 301 | C2×C4 | #6233 | 1 | 1 | yes | characteristic |
| 302 | C2×C4 | C22×C3⋊D9 | 1 | 1 | yes | characteristic |
| 303 | C8 | — | 54 | 1 | no | — |
| 304 | C8 | — | 54 | 1 | no | — |
| 305 | C2×C3 | — | 4 | 6 | no | — |
| 306 | C2×C3 | — | 4 | 2 | no | — |
| 307 | C2×C3 | #63492 | 1 | 3 | yes | — |
| 308 | C2×C3 | #63495 | 1 | 3 | yes | — |
| 309 | C2×C3 | #63513 | 1 | 3 | yes | — |
| 310 | C2×C3 | #64139 | 1 | 1 | yes | characteristic |
| 311 | C2×C3 | #64141 | 1 | 1 | yes | characteristic |
| 312 | C2×C3 | #64159 | 1 | 1 | yes | characteristic |
| 313 | D3 | — | 72 | 3 | no | — |
| 314 | D3 | — | 72 | 1 | no | — |
| 315 | C22 | — | 2 | 2 | no | — |
| 316 | C22 | — | 4 | 1 | no | — |
| 317 | C22 | — | 4 | 1 | no | — |
| 318 | C22 | — | 108 | 1 | no | — |
| 319 | C22 | — | 108 | 1 | no | — |
| 320 | C22 | — | 108 | 1 | no | — |
| 321 | C22 | C2×#6233 | 1 | 1 | yes | characteristic |
| 322 | C4 | — | 2 | 1 | no | — |
| 323 | C4 | — | 2 | 1 | no | — |
| 324 | C4 | — | 4 | 1 | no | — |
| 325 | C4 | — | 108 | 1 | no | — |
| 326 | C4 | C2×C4⋊(C3⋊D9) | 1 | 1 | yes | characteristic |
| 327 | C4 | #88736 | 1 | 1 | yes | characteristic |
| 328 | C3 | #10588699 | 1 | 3 | yes | complemented |
| 329 | C3 | #10592715 | 1 | 1 | yes | characteristic |
| 330 | C2 | — | 4 | 2 | no | — |
| 331 | C2 | — | 216 | 1 | no | — |
| 332 | C2 | #11721819 | 1 | 1 | yes | characteristic |
| 333 | C2 | #11721833 | 1 | 1 | yes | characteristic |
| 334 | C2 | #11721868 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta