| 1 | C4×#63653 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | D8×C3⋊(C3⋊C8) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11777137 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11772231 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11771570 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11771294 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C32×#1331 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10706935 | — | 3 | 4 | no | maximal |
| 9 | C32×C4×D8 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×#63653 | C4 | 1 | 1 | yes | characteristic |
| 11 | D4×C3⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 12 | #10592533 | — | 2 | 1 | no | — |
| 13 | C4×#3745 | C22 | 1 | 1 | yes | characteristic |
| 14 | C32×C4×C16 | C22 | 1 | 1 | yes | characteristic |
| 15 | C32×#335 | C22 | 1 | 1 | yes | characteristic |
| 16 | #10589428 | C4 | 1 | 1 | yes | characteristic |
| 17 | D4⋊(C3⋊(C3⋊C8)) | — | 2 | 1 | no | — |
| 18 | #10589357 | C4 | 1 | 1 | yes | characteristic |
| 19 | #10589355 | C4 | 1 | 1 | yes | characteristic |
| 20 | #10589349 | — | 2 | 1 | no | — |
| 21 | C4×C3⋊(C3⋊C16) | C22 | 1 | 1 | yes | characteristic |
| 22 | #10589324 | C22 | 1 | 1 | yes | characteristic |
| 23 | C8×C3⋊(C3⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 24 | C4×#826 | — | 3 | 4 | no | — |
| 25 | D8×C3⋊C8 | — | 3 | 4 | no | — |
| 26 | #68556 | — | 3 | 4 | no | — |
| 27 | C3×#1331 | D3 | 1 | 4 | yes | complemented |
| 28 | #67504 | — | 3 | 4 | no | — |
| 29 | #67498 | — | 3 | 4 | no | — |
| 30 | #67470 | — | 3 | 4 | no | — |
| 31 | C2×C32×D8 | C2×C4 | 1 | 1 | yes | characteristic |
| 32 | C32×C4×D4 | — | 2 | 1 | no | — |
| 33 | C22×C3⋊(C3⋊C8) | — | 4 | 1 | no | — |
| 34 | C2×#3745 | C2×C4 | 1 | 1 | yes | characteristic |
| 35 | C2×C8×C3⋊D3 | — | 4 | 1 | no | — |
| 36 | C4×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 37 | C2×C32×C16 | — | 2 | 1 | no | — |
| 38 | C32×#107 | C2×C4 | 1 | 1 | yes | characteristic |
| 39 | C32×C4⋊C8 | — | 2 | 1 | no | — |
| 40 | C32×#102 | — | 2 | 1 | no | — |
| 41 | C32×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 42 | #63657 | — | 4 | 1 | no | — |
| 43 | #63653 | C8 | 1 | 4 | yes | complemented |
| 44 | #63648 | — | 2 | 1 | no | — |
| 45 | #63647 | — | 4 | 1 | no | — |
| 46 | #63645 | C2×C4 | 1 | 1 | yes | characteristic |
| 47 | C2×C3⋊(C3⋊C16) | C2×C4 | 1 | 1 | yes | characteristic |
| 48 | C2×C3⋊(C3⋊C16) | C2×C4 | 1 | 1 | yes | characteristic |
| 49 | C4⋊(C3⋊(C3⋊C8)) | — | 2 | 1 | no | — |
| 50 | C4×C3⋊(C3⋊C8) | D4 | 1 | 1 | yes | characteristic |
| 51 | C4×C3⋊(C3⋊C8) | D4 | 1 | 1 | yes | characteristic |
| 52 | #12045 | — | 9 | 1 | no | Sylow |
| 53 | C3×C4×D8 | C2×D3 | 1 | 4 | yes | — |
| 54 | C2×#826 | — | 3 | 4 | no | — |
| 55 | D4×C3⋊C8 | — | 6 | 4 | no | — |
| 56 | #4834 | — | 6 | 4 | no | — |
| 57 | C4×D24 | — | 3 | 4 | no | — |
| 58 | C3×C4×C16 | C2×D3 | 1 | 4 | yes | — |
| 59 | C3×#335 | C2×D3 | 1 | 4 | yes | — |
| 60 | #4562 | — | 3 | 4 | no | — |
| 61 | D4⋊(C3⋊C8) | — | 6 | 4 | no | — |
| 62 | #4491 | — | 3 | 4 | no | — |
| 63 | #4489 | — | 3 | 4 | no | — |
| 64 | #4483 | — | 6 | 4 | no | — |
| 65 | C4×C3⋊C16 | — | 3 | 4 | no | — |
| 66 | #4458 | — | 3 | 4 | no | — |
| 67 | C8×C3⋊C8 | — | 3 | 4 | no | — |
| 68 | C2×C32×D4 | — | 2 | 1 | no | — |
| 69 | C22×C32×C4 | — | 4 | 1 | no | — |
| 70 | C2×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 71 | C2×C4×C3⋊D3 | — | 4 | 1 | no | — |
| 72 | C32×D8 | — | 2 | 1 | no | — |
| 73 | C32×D8 | C2×C8 | 1 | 2 | yes | complemented |
| 74 | C2×C32×C8 | — | 4 | 1 | no | — |
| 75 | C2×C32×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 76 | C2×C32×C8 | #41 | 1 | 1 | yes | characteristic |
| 77 | C32×C4⋊C4 | — | 2 | 1 | no | — |
| 78 | C32×C22⋊C4 | — | 4 | 1 | no | — |
| 79 | C32×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 80 | #3752 | — | 4 | 1 | no | — |
| 81 | C4⋊(C3⋊Dic3) | — | 2 | 1 | no | — |
| 82 | C2×C3⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 83 | C2×C3⋊(C3⋊C8) | — | 4 | 1 | no | — |
| 84 | C2×C3⋊(C3⋊C8) | — | 8 | 2 | no | — |
| 85 | C2×C3⋊(C3⋊C8) | D8 | 1 | 1 | yes | characteristic |
| 86 | C2×C3⋊(C3⋊C8) | D8 | 1 | 1 | yes | characteristic |
| 87 | #3745 | — | 2 | 1 | no | — |
| 88 | #3745 | C2×C8 | 1 | 2 | yes | complemented |
| 89 | C8×C3⋊D3 | — | 8 | 2 | no | — |
| 90 | C32×C16 | — | 2 | 2 | no | — |
| 91 | C3⋊(C3⋊C16) | — | 2 | 1 | no | — |
| 92 | C3⋊(C3⋊C16) | C2×C8 | 1 | 2 | yes | complemented |
| 93 | C4×D16 | — | 9 | 1 | no | — |
| 94 | C8×D8 | — | 9 | 1 | no | — |
| 95 | C8×D8 | — | 9 | 1 | no | — |
| 96 | #1372 | — | 9 | 1 | no | — |
| 97 | #1331 | — | 9 | 1 | no | — |
| 98 | #1331 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 99 | #1311 | — | 9 | 1 | no | — |
| 100 | C2×C3×D8 | C4×D3 | 1 | 4 | yes | — |
| 101 | C3×C4×D4 | — | 2 | 4 | no | — |
| 102 | C22×C3⋊C8 | — | 12 | 4 | no | — |
| 103 | C2×D24 | — | 3 | 4 | no | — |
| 104 | C2×D3×C8 | — | 12 | 4 | no | — |
| 105 | C4×D12 | — | 6 | 4 | no | — |
| 106 | C2×C3×C16 | — | 2 | 4 | no | — |
| 107 | C3×#107 | C4×D3 | 1 | 4 | yes | — |
| 108 | C3×C4⋊C8 | — | 2 | 4 | no | — |
| 109 | C3×#102 | — | 2 | 4 | no | — |
| 110 | C3×C4×C8 | C22×D3 | 1 | 4 | yes | — |
| 111 | #830 | — | 12 | 4 | no | — |
| 112 | #826 | — | 3 | 16 | no | — |
| 113 | #821 | — | 6 | 4 | no | — |
| 114 | (C2×D3)⋊C8 | — | 12 | 4 | no | — |
| 115 | #818 | — | 3 | 4 | no | — |
| 116 | C2×C3⋊C16 | — | 3 | 4 | no | — |
| 117 | C2×C3⋊C16 | — | 3 | 4 | no | — |
| 118 | C4⋊(C3⋊C8) | — | 6 | 4 | no | — |
| 119 | C4×C3⋊C8 | — | 3 | 4 | no | — |
| 120 | C4×C3⋊C8 | — | 3 | 4 | no | — |
| 121 | C23×C32 | — | 4 | 1 | no | — |
| 122 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 123 | C32×D4 | — | 2 | 2 | no | — |
| 124 | C32×D4 | — | 4 | 1 | no | — |
| 125 | C2×C32×C4 | — | 4 | 1 | no | — |
| 126 | C2×C32×C4 | — | 8 | 1 | no | — |
| 127 | C2×C32×C4 | — | 8 | 1 | no | — |
| 128 | C2×C32×C4 | C4×D4 | 1 | 1 | yes | characteristic |
| 129 | C2×C32×C4 | C2×D8 | 1 | 1 | yes | characteristic |
| 130 | C2×C32×C4 | #135 | 1 | 1 | yes | characteristic |
| 131 | C2×C3⋊Dic3 | — | 4 | 1 | no | — |
| 132 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 133 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 134 | C4×C3⋊D3 | — | 8 | 1 | no | — |
| 135 | C4×C3⋊D3 | — | 8 | 1 | no | — |
| 136 | C32×C8 | — | 2 | 1 | no | — |
| 137 | C32×C8 | — | 8 | 1 | no | — |
| 138 | C32×C8 | C22×C8 | 1 | 1 | yes | characteristic |
| 139 | C32×C8 | #131 | 1 | 1 | yes | characteristic |
| 140 | C3⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 141 | C3⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 142 | C3⋊(C3⋊C8) | — | 4 | 1 | no | — |
| 143 | C3⋊(C3⋊C8) | — | 8 | 1 | no | — |
| 144 | C2×D16 | — | 9 | 1 | no | — |
| 145 | C4×D8 | — | 9 | 1 | no | — |
| 146 | C4×D8 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 147 | C8×D4 | — | 18 | 1 | no | — |
| 148 | C8×D4 | — | 18 | 1 | no | — |
| 149 | #366 | — | 9 | 1 | no | — |
| 150 | #357 | — | 9 | 1 | no | — |
| 151 | #357 | — | 9 | 1 | no | — |
| 152 | C4×C16 | — | 9 | 1 | no | — |
| 153 | C4×C16 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 154 | #335 | — | 9 | 1 | no | — |
| 155 | #335 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 156 | D4⋊C8 | — | 18 | 1 | no | — |
| 157 | D4⋊C8 | — | 18 | 1 | no | — |
| 158 | C82 | — | 9 | 1 | no | — |
| 159 | C2×C3×D4 | — | 2 | 4 | no | — |
| 160 | C22×C3×C4 | — | 4 | 4 | no | — |
| 161 | C2×D12 | — | 6 | 4 | no | — |
| 162 | C2×C4×D3 | — | 12 | 4 | no | — |
| 163 | C3×D8 | — | 2 | 4 | no | — |
| 164 | C3×D8 | D3×C8 | 1 | 8 | yes | complemented |
| 165 | C2×C3×C8 | — | 4 | 4 | no | — |
| 166 | C2×C3×C8 | C2×C4×D3 | 1 | 4 | yes | — |
| 167 | C2×C3×C8 | #237 | 1 | 4 | yes | — |
| 168 | C3×C4⋊C4 | — | 2 | 4 | no | — |
| 169 | C3×C22⋊C4 | — | 4 | 4 | no | — |
| 170 | C3×C42 | D3×D4 | 1 | 4 | yes | — |
| 171 | (C2×D3)⋊C4 | — | 12 | 4 | no | — |
| 172 | C4⋊Dic3 | — | 6 | 4 | no | — |
| 173 | C2×C3⋊C8 | — | 3 | 4 | no | — |
| 174 | C2×C3⋊C8 | — | 3 | 4 | no | — |
| 175 | C2×C3⋊C8 | — | 6 | 4 | no | — |
| 176 | C2×C3⋊C8 | — | 12 | 4 | no | — |
| 177 | C2×C3⋊C8 | — | 24 | 8 | no | — |
| 178 | D24 | — | 3 | 8 | no | — |
| 179 | D24 | — | 6 | 4 | no | — |
| 180 | D3×C8 | — | 24 | 8 | no | — |
| 181 | C3×C16 | — | 2 | 8 | no | — |
| 182 | C3⋊C16 | — | 3 | 8 | no | — |
| 183 | C3⋊C16 | — | 6 | 4 | no | — |
| 184 | C22×C32 | — | 4 | 2 | no | — |
| 185 | C22×C32 | — | 8 | 1 | no | — |
| 186 | C22×C32 | — | 8 | 1 | no | — |
| 187 | C22×C32 | C4×D8 | 1 | 1 | yes | characteristic |
| 188 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 189 | C2×C3⋊D3 | — | 8 | 1 | no | — |
| 190 | C2×C3⋊D3 | — | 8 | 1 | no | — |
| 191 | C32×C4 | — | 2 | 1 | no | — |
| 192 | C32×C4 | — | 8 | 1 | no | — |
| 193 | C32×C4 | C8×D4 | 1 | 1 | yes | characteristic |
| 194 | C32×C4 | #443 | 1 | 1 | yes | characteristic |
| 195 | C32×C4 | #509 | 1 | 1 | yes | characteristic |
| 196 | C32×C4 | #509 | 1 | 1 | yes | characteristic |
| 197 | C3⋊Dic3 | — | 8 | 1 | no | — |
| 198 | C2×D8 | — | 9 | 1 | no | — |
| 199 | C2×D8 | C4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 200 | C22×C8 | — | 36 | 1 | no | — |
| 201 | C22×C8 | — | 36 | 1 | no | — |
| 202 | C4×D4 | — | 2 | 1 | no | — |
| 203 | C4×D4 | — | 18 | 1 | no | — |
| 204 | D16 | — | 9 | 4 | no | — |
| 205 | C2×C16 | — | 2 | 1 | no | — |
| 206 | C2×C16 | — | 9 | 1 | no | — |
| 207 | C2×C16 | — | 9 | 1 | no | — |
| 208 | #107 | — | 9 | 1 | no | — |
| 209 | #107 | C4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 210 | C4⋊C8 | — | 2 | 1 | no | — |
| 211 | C4⋊C8 | — | 18 | 1 | no | — |
| 212 | #102 | — | 2 | 1 | no | — |
| 213 | #102 | — | 18 | 1 | no | — |
| 214 | C22⋊C8 | — | 36 | 1 | no | — |
| 215 | C22⋊C8 | — | 36 | 1 | no | — |
| 216 | C4×C8 | — | 9 | 1 | no | — |
| 217 | C4×C8 | — | 9 | 1 | no | — |
| 218 | C4×C8 | C22×C3⋊D3 | 1 | 1 | yes | characteristic |
| 219 | C23×C3 | — | 4 | 4 | no | — |
| 220 | C22×D3 | — | 12 | 4 | no | — |
| 221 | C3×D4 | — | 2 | 8 | no | — |
| 222 | C3×D4 | — | 4 | 4 | no | — |
| 223 | C2×C3×C4 | — | 4 | 4 | no | — |
| 224 | C2×C3×C4 | — | 8 | 4 | no | — |
| 225 | C2×C3×C4 | — | 8 | 4 | no | — |
| 226 | C2×C3×C4 | #67⋊C4 | 1 | 4 | yes | — |
| 227 | C2×C3×C4 | D3×D8 | 1 | 4 | yes | — |
| 228 | C2×C3×C4 | #916 | 1 | 4 | yes | — |
| 229 | C2×Dic3 | — | 12 | 4 | no | — |
| 230 | D12 | — | 6 | 8 | no | — |
| 231 | D12 | — | 12 | 4 | no | — |
| 232 | C4×D3 | — | 24 | 4 | no | — |
| 233 | C4×D3 | — | 24 | 4 | no | — |
| 234 | C3×C8 | — | 2 | 4 | no | — |
| 235 | C3×C8 | — | 8 | 4 | no | — |
| 236 | C3×C8 | C2×D3×C8 | 1 | 4 | yes | — |
| 237 | C3×C8 | #907 | 1 | 4 | yes | — |
| 238 | C3⋊C8 | — | 6 | 4 | no | — |
| 239 | C3⋊C8 | — | 6 | 4 | no | — |
| 240 | C3⋊C8 | — | 12 | 4 | no | — |
| 241 | C3⋊C8 | — | 24 | 4 | no | — |
| 242 | C2×C32 | — | 8 | 2 | no | — |
| 243 | C2×C32 | C8×D8 | 1 | 1 | yes | characteristic |
| 244 | C2×C32 | #2177 | 1 | 1 | yes | characteristic |
| 245 | C2×C32 | #2179 | 1 | 1 | yes | characteristic |
| 246 | C3⋊D3 | — | 8 | 2 | no | — |
| 247 | C2×D4 | — | 2 | 1 | no | — |
| 248 | C2×D4 | — | 18 | 1 | no | — |
| 249 | C22×C4 | — | 4 | 1 | no | — |
| 250 | C22×C4 | — | 36 | 1 | no | — |
| 251 | D8 | — | 2 | 1 | no | — |
| 252 | D8 | — | 9 | 2 | no | — |
| 253 | D8 | — | 18 | 1 | no | — |
| 254 | D8 | C8×C3⋊D3 | 1 | 2 | yes | complemented |
| 255 | C2×C8 | — | 4 | 1 | no | — |
| 256 | C2×C8 | — | 9 | 1 | no | — |
| 257 | C2×C8 | — | 9 | 1 | no | — |
| 258 | C2×C8 | — | 18 | 1 | no | — |
| 259 | C2×C8 | — | 36 | 1 | no | — |
| 260 | C2×C8 | — | 72 | 2 | no | — |
| 261 | C2×C8 | — | 72 | 2 | no | — |
| 262 | C2×C8 | C2×C4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 263 | C2×C8 | #3830 | 1 | 1 | yes | characteristic |
| 264 | C4⋊C4 | — | 2 | 1 | no | — |
| 265 | C4⋊C4 | — | 18 | 1 | no | — |
| 266 | C22⋊C4 | — | 4 | 1 | no | — |
| 267 | C22⋊C4 | — | 36 | 1 | no | — |
| 268 | C42 | D4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 269 | C16 | — | 2 | 2 | no | — |
| 270 | C16 | — | 9 | 2 | no | — |
| 271 | C16 | — | 18 | 1 | no | — |
| 272 | C22×C3 | — | 4 | 8 | no | — |
| 273 | C22×C3 | — | 8 | 4 | no | — |
| 274 | C22×C3 | — | 8 | 4 | no | — |
| 275 | C22×C3 | #4756 | 1 | 4 | yes | — |
| 276 | C2×D3 | — | 12 | 8 | no | — |
| 277 | C2×D3 | — | 24 | 4 | no | — |
| 278 | C2×D3 | — | 24 | 4 | no | — |
| 279 | C3×C4 | — | 2 | 4 | no | — |
| 280 | C3×C4 | — | 8 | 4 | no | — |
| 281 | C3×C4 | #67⋊C8 | 1 | 4 | yes | — |
| 282 | C3×C4 | #4824 | 1 | 4 | yes | — |
| 283 | C3×C4 | #4911 | 1 | 4 | yes | — |
| 284 | C3×C4 | #4914 | 1 | 4 | yes | — |
| 285 | Dic3 | — | 24 | 4 | no | — |
| 286 | C32 | #12045 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 287 | C23 | — | 4 | 1 | no | — |
| 288 | C23 | — | 36 | 1 | no | — |
| 289 | D4 | — | 2 | 2 | no | — |
| 290 | D4 | — | 4 | 1 | no | — |
| 291 | D4 | — | 18 | 2 | no | — |
| 292 | D4 | — | 36 | 1 | no | — |
| 293 | C2×C4 | — | 4 | 1 | no | — |
| 294 | C2×C4 | — | 8 | 1 | no | — |
| 295 | C2×C4 | — | 8 | 1 | no | — |
| 296 | C2×C4 | — | 36 | 1 | no | — |
| 297 | C2×C4 | — | 72 | 1 | no | — |
| 298 | C2×C4 | — | 72 | 1 | no | — |
| 299 | C2×C4 | #64090 | 1 | 1 | yes | characteristic |
| 300 | C2×C4 | D8×C3⋊D3 | 1 | 1 | yes | characteristic |
| 301 | C2×C4 | #64125 | 1 | 1 | yes | characteristic |
| 302 | C8 | — | 2 | 1 | no | — |
| 303 | C8 | — | 8 | 1 | no | — |
| 304 | C8 | — | 18 | 1 | no | — |
| 305 | C8 | — | 18 | 1 | no | — |
| 306 | C8 | — | 36 | 1 | no | — |
| 307 | C8 | — | 72 | 1 | no | — |
| 308 | C8 | C2×C8×C3⋊D3 | 1 | 1 | yes | characteristic |
| 309 | C8 | #64116 | 1 | 1 | yes | characteristic |
| 310 | C2×C3 | — | 8 | 8 | no | — |
| 311 | C2×C3 | #68148 | 1 | 4 | yes | — |
| 312 | C2×C3 | #69177 | 1 | 4 | yes | — |
| 313 | C2×C3 | #69239 | 1 | 4 | yes | — |
| 314 | D3 | — | 24 | 8 | no | — |
| 315 | C22 | — | 4 | 2 | no | — |
| 316 | C22 | — | 8 | 1 | no | — |
| 317 | C22 | — | 8 | 1 | no | — |
| 318 | C22 | — | 36 | 2 | no | — |
| 319 | C22 | — | 72 | 1 | no | — |
| 320 | C22 | — | 72 | 1 | no | — |
| 321 | C22 | #10592455 | 1 | 1 | yes | characteristic |
| 322 | C4 | — | 2 | 1 | no | — |
| 323 | C4 | — | 8 | 1 | no | — |
| 324 | C4 | — | 72 | 1 | no | — |
| 325 | C4 | #10592424 | 1 | 1 | yes | characteristic |
| 326 | C4 | #10592523 | 1 | 1 | yes | characteristic |
| 327 | C4 | #10592610 | 1 | 1 | yes | characteristic |
| 328 | C4 | #10592613 | 1 | 1 | yes | characteristic |
| 329 | C3 | #10706935 | 1 | 4 | yes | complemented |
| 330 | C2 | — | 8 | 2 | no | — |
| 331 | C2 | — | 72 | 2 | no | — |
| 332 | C2 | #11777131 | 1 | 1 | yes | characteristic |
| 333 | C2 | #11797801 | 1 | 1 | yes | characteristic |
| 334 | C2 | #11797865 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta