| 1 | #82007 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #79252 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #79116 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | C2×C3×#365 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #71427 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #70685 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C2×#4487 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #69312 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | D3×#365 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #33404 | — | 3 | 1 | no | maximal, Sylow |
| 11 | #5745 | — | 2 | 1 | no | — |
| 12 | C2×#901 | C22 | 1 | 1 | yes | characteristic |
| 13 | #5504 | — | 2 | 1 | no | — |
| 14 | C2×C3×M32 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×C3×#108 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×C3×#106 | C22 | 1 | 1 | yes | characteristic |
| 17 | #5124 | — | 2 | 1 | no | — |
| 18 | C2×#819 | C22 | 1 | 1 | yes | characteristic |
| 19 | #5106 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#812 | C22 | 1 | 1 | yes | characteristic |
| 21 | #4964 | — | 2 | 1 | no | — |
| 22 | #4907 | C4 | 1 | 4 | yes | complemented |
| 23 | D3×M32 | C22 | 1 | 4 | yes | — |
| 24 | #4901 | C4 | 1 | 4 | yes | complemented |
| 25 | #4893 | — | 2 | 2 | no | — |
| 26 | D3×#108 | C22 | 1 | 4 | yes | — |
| 27 | #4861 | — | 2 | 2 | no | — |
| 28 | #4860 | C22 | 1 | 2 | yes | — |
| 29 | D3×#106 | C22 | 1 | 2 | yes | — |
| 30 | C3×#365 | C22 | 1 | 4 | yes | — |
| 31 | #4513 | C22 | 1 | 2 | yes | — |
| 32 | #4513 | C22 | 1 | 2 | yes | — |
| 33 | #4494 | C22 | 1 | 2 | yes | — |
| 34 | #4494 | C22 | 1 | 2 | yes | — |
| 35 | #4487 | C22 | 1 | 4 | yes | — |
| 36 | #3407 | — | 3 | 1 | no | — |
| 37 | #2916 | — | 3 | 1 | no | — |
| 38 | #2912 | — | 3 | 1 | no | — |
| 39 | #2155 | — | 3 | 1 | no | — |
| 40 | #2155 | — | 3 | 1 | no | — |
| 41 | #2155 | — | 3 | 4 | no | — |
| 42 | C2×#365 | — | 3 | 1 | no | — |
| 43 | C2×#365 | — | 3 | 4 | no | — |
| 44 | C2×#365 | D3 | 1 | 1 | yes | characteristic, complemented |
| 45 | C2×#235 | D4 | 1 | 1 | yes | characteristic |
| 46 | C2×C3×M16 | — | 2 | 1 | no | — |
| 47 | C22×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 48 | C2×C3×C4⋊C4 | — | 2 | 1 | no | — |
| 49 | C4×#67 | — | 4 | 2 | no | — |
| 50 | #926 | — | 2 | 1 | no | — |
| 51 | C2×#208 | — | 2 | 1 | no | — |
| 52 | C2×#208 | D4 | 1 | 1 | yes | characteristic |
| 53 | #907 | — | 4 | 2 | no | — |
| 54 | D3×M16 | — | 2 | 4 | no | — |
| 55 | #901 | — | 4 | 2 | no | — |
| 56 | #901 | C2×C4 | 1 | 2 | yes | — |
| 57 | #901 | C2×C4 | 1 | 2 | yes | — |
| 58 | #901 | Q8 | 1 | 2 | yes | — |
| 59 | #901 | Q8 | 1 | 2 | yes | — |
| 60 | C2×ΓL(1,𝔽25) | D4 | 1 | 2 | yes | — |
| 61 | C2×D3×C8 | C23 | 1 | 2 | yes | — |
| 62 | #893 | — | 4 | 1 | no | — |
| 63 | #892 | — | 2 | 2 | no | — |
| 64 | D3×C4⋊C4 | — | 2 | 2 | no | — |
| 65 | #887 | — | 4 | 1 | no | — |
| 66 | C3×M32 | C2×C4 | 1 | 2 | yes | complemented |
| 67 | C3×M32 | C23 | 1 | 2 | yes | — |
| 68 | C2×C3×C16 | C2×C4 | 1 | 2 | yes | complemented |
| 69 | C3×#108 | — | 2 | 1 | no | — |
| 70 | C3×#108 | C23 | 1 | 2 | yes | — |
| 71 | C3×#106 | — | 2 | 1 | no | — |
| 72 | C3×#106 | C23 | 1 | 2 | yes | — |
| 73 | #822 | — | 2 | 4 | no | — |
| 74 | #819 | — | 2 | 1 | no | — |
| 75 | #819 | C23 | 1 | 2 | yes | — |
| 76 | #818 | — | 2 | 1 | no | — |
| 77 | #817 | C23 | 1 | 1 | yes | characteristic |
| 78 | #817 | C23 | 1 | 1 | yes | characteristic |
| 79 | #812 | C2×C4 | 1 | 2 | yes | complemented |
| 80 | #812 | C23 | 1 | 2 | yes | — |
| 81 | C2×C3⋊C16 | C2×C4 | 1 | 2 | yes | complemented |
| 82 | #808 | — | 2 | 2 | no | — |
| 83 | #807 | — | 2 | 2 | no | — |
| 84 | #798 | C2×C4 | 1 | 8 | yes | complemented |
| 85 | D3×C16 | C2×C4 | 1 | 8 | yes | complemented |
| 86 | #568 | — | 6 | 1 | no | — |
| 87 | C2×#131 | — | 3 | 1 | no | — |
| 88 | #520 | — | 6 | 1 | no | — |
| 89 | #504 | — | 3 | 4 | no | — |
| 90 | #504 | — | 3 | 4 | no | — |
| 91 | C2×M32 | — | 3 | 1 | no | — |
| 92 | C2×M32 | — | 3 | 4 | no | — |
| 93 | C2×M32 | C2×D3 | 1 | 1 | yes | characteristic |
| 94 | #430 | — | 6 | 2 | no | — |
| 95 | #430 | — | 6 | 1 | no | — |
| 96 | C2×#108 | — | 3 | 1 | no | — |
| 97 | C2×#108 | — | 3 | 4 | no | — |
| 98 | C2×#108 | C2×D3 | 1 | 1 | yes | characteristic |
| 99 | #428 | — | 6 | 2 | no | — |
| 100 | #428 | — | 6 | 1 | no | — |
| 101 | #427 | — | 3 | 1 | no | — |
| 102 | #427 | — | 3 | 2 | no | — |
| 103 | C2×#106 | — | 3 | 2 | no | — |
| 104 | C2×#106 | C2×D3 | 1 | 1 | yes | characteristic |
| 105 | #365 | — | 3 | 2 | no | — |
| 106 | #365 | — | 3 | 2 | no | — |
| 107 | #365 | — | 3 | 2 | no | — |
| 108 | #365 | — | 3 | 2 | no | — |
| 109 | #365 | — | 3 | 4 | no | — |
| 110 | #365 | C2×D3 | 1 | 4 | yes | — |
| 111 | C22×C3×C4 | — | 4 | 1 | no | — |
| 112 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 113 | C2×#67 | SD16 | 1 | 2 | yes | — |
| 114 | #235 | C4⋊C4 | 1 | 2 | yes | — |
| 115 | #235 | C4⋊C4 | 1 | 2 | yes | — |
| 116 | #235 | SD16 | 1 | 2 | yes | — |
| 117 | #235 | SD16 | 1 | 2 | yes | — |
| 118 | C2×D12 | SD16 | 1 | 1 | yes | characteristic |
| 119 | C2×C4×D3 | — | 4 | 2 | no | — |
| 120 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 121 | C2×Dic6 | SD16 | 1 | 1 | yes | characteristic |
| 122 | C3×M16 | — | 2 | 2 | no | — |
| 123 | C3×M16 | — | 4 | 1 | no | — |
| 124 | C2×C3×C8 | — | 4 | 1 | no | — |
| 125 | C2×C3×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 126 | C2×C3×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 127 | C2×C3×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 128 | C2×C3×C8 | C2×Q8 | 1 | 1 | yes | characteristic |
| 129 | C2×C3×C8 | C2×Q8 | 1 | 1 | yes | characteristic |
| 130 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 131 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 132 | C3×C4⋊C4 | — | 4 | 1 | no | — |
| 133 | #217 | — | 4 | 1 | no | — |
| 134 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 135 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 136 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 137 | Dic3⋊C4 | — | 4 | 2 | no | — |
| 138 | C4×Dic3 | — | 4 | 1 | no | — |
| 139 | C4×Dic3 | — | 4 | 2 | no | — |
| 140 | #208 | — | 2 | 2 | no | — |
| 141 | #208 | — | 4 | 1 | no | — |
| 142 | #208 | C4⋊C4 | 1 | 2 | yes | — |
| 143 | #208 | C4⋊C4 | 1 | 2 | yes | — |
| 144 | C2×C3⋊C8 | — | 4 | 1 | no | — |
| 145 | C2×C3⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 146 | ΓL(1,𝔽25) | — | 4 | 4 | no | — |
| 147 | ΓL(1,𝔽25) | C4⋊C4 | 1 | 4 | yes | — |
| 148 | ΓL(1,𝔽25) | C4⋊C4 | 1 | 4 | yes | — |
| 149 | D3×C8 | — | 4 | 4 | no | — |
| 150 | D3×C8 | C22×C4 | 1 | 4 | yes | — |
| 151 | D3×C8 | C2×Q8 | 1 | 4 | yes | — |
| 152 | C3×C16 | C22×C4 | 1 | 4 | yes | — |
| 153 | C3⋊C16 | C22×C4 | 1 | 4 | yes | — |
| 154 | C2×#41 | — | 3 | 1 | no | — |
| 155 | #131 | — | 3 | 2 | no | — |
| 156 | #131 | — | 3 | 2 | no | — |
| 157 | #131 | — | 3 | 2 | no | — |
| 158 | #131 | — | 3 | 2 | no | — |
| 159 | #131 | — | 12 | 2 | no | — |
| 160 | #131 | — | 12 | 2 | no | — |
| 161 | C2×M16 | — | 2 | 1 | no | — |
| 162 | C2×M16 | — | 3 | 1 | no | — |
| 163 | C2×M16 | — | 3 | 2 | no | — |
| 164 | C2×M16 | — | 6 | 4 | no | — |
| 165 | C2×M16 | — | 6 | 1 | no | — |
| 166 | C22×C8 | — | 3 | 2 | no | — |
| 167 | C22×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 168 | C4×Q8 | — | 12 | 1 | no | — |
| 169 | C4×D4 | — | 12 | 1 | no | — |
| 170 | C4×D4 | — | 12 | 2 | no | — |
| 171 | #117 | — | 6 | 2 | no | — |
| 172 | #117 | — | 6 | 1 | no | — |
| 173 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 174 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 175 | M32 | — | 3 | 2 | no | — |
| 176 | M32 | — | 3 | 2 | no | — |
| 177 | M32 | — | 3 | 8 | no | — |
| 178 | M32 | C4×D3 | 1 | 2 | yes | complemented |
| 179 | M32 | C22×D3 | 1 | 2 | yes | — |
| 180 | C2×C16 | — | 3 | 2 | no | — |
| 181 | C2×C16 | — | 3 | 8 | no | — |
| 182 | C2×C16 | C4×D3 | 1 | 2 | yes | complemented |
| 183 | #108 | — | 2 | 1 | no | — |
| 184 | #108 | — | 3 | 2 | no | — |
| 185 | #108 | — | 6 | 4 | no | — |
| 186 | #108 | — | 6 | 1 | no | — |
| 187 | #108 | C22×D3 | 1 | 2 | yes | — |
| 188 | #107 | — | 6 | 2 | no | — |
| 189 | #107 | — | 6 | 1 | no | — |
| 190 | #106 | — | 2 | 1 | no | — |
| 191 | #106 | — | 3 | 1 | no | — |
| 192 | #106 | — | 3 | 1 | no | — |
| 193 | #106 | — | 6 | 2 | no | — |
| 194 | #106 | C22×D3 | 1 | 2 | yes | — |
| 195 | C23×C3 | C2×SD16 | 1 | 1 | yes | characteristic |
| 196 | C22×D3 | C2×SD16 | 1 | 2 | yes | — |
| 197 | C2×C3×C4 | — | 4 | 2 | no | — |
| 198 | C2×C3×C4 | — | 16 | 1 | no | — |
| 199 | C2×C3×C4 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 200 | C2×C3×C4 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 201 | C2×C3×C4 | C2×SD16 | 1 | 1 | yes | characteristic |
| 202 | C2×C3×C4 | C2×SD16 | 1 | 1 | yes | characteristic |
| 203 | C2×C3×C4 | C2×SD16 | 1 | 1 | yes | characteristic |
| 204 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 205 | #67 | #106 | 1 | 4 | yes | — |
| 206 | #67 | #106 | 1 | 4 | yes | — |
| 207 | C2×Dic3 | — | 4 | 1 | no | — |
| 208 | C2×Dic3 | — | 4 | 1 | no | — |
| 209 | C2×Dic3 | C2×SD16 | 1 | 2 | yes | — |
| 210 | D12 | #106 | 1 | 2 | yes | — |
| 211 | D12 | #106 | 1 | 2 | yes | — |
| 212 | C4×D3 | — | 16 | 2 | no | — |
| 213 | C4×D3 | C2×C4⋊C4 | 1 | 4 | yes | — |
| 214 | C4×D3 | C2×SD16 | 1 | 4 | yes | — |
| 215 | Dic6 | #106 | 1 | 2 | yes | — |
| 216 | Dic6 | #106 | 1 | 2 | yes | — |
| 217 | C3×C8 | — | 4 | 2 | no | — |
| 218 | C3×C8 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 219 | C3×C8 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 220 | C3×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 221 | C3×C8 | C22×Q8 | 1 | 1 | yes | characteristic |
| 222 | C3⋊C8 | — | 4 | 2 | no | — |
| 223 | C3⋊C8 | C2×C4⋊C4 | 1 | 4 | yes | — |
| 224 | #41 | — | 3 | 2 | no | — |
| 225 | #41 | — | 3 | 2 | no | — |
| 226 | #41 | — | 3 | 2 | no | — |
| 227 | #41 | — | 3 | 2 | no | — |
| 228 | C2×Q8 | — | 3 | 1 | no | — |
| 229 | C2×D4 | — | 3 | 2 | no | — |
| 230 | C2×D4 | — | 3 | 1 | no | — |
| 231 | C22×C4 | — | 3 | 2 | no | — |
| 232 | C22×C4 | — | 4 | 1 | no | — |
| 233 | C22×C4 | — | 12 | 2 | no | — |
| 234 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 235 | M16 | — | 2 | 2 | no | — |
| 236 | M16 | — | 3 | 2 | no | — |
| 237 | M16 | — | 3 | 2 | no | — |
| 238 | M16 | — | 3 | 4 | no | — |
| 239 | M16 | — | 3 | 4 | no | — |
| 240 | M16 | — | 4 | 1 | no | — |
| 241 | M16 | — | 6 | 2 | no | — |
| 242 | M16 | — | 12 | 4 | no | — |
| 243 | M16 | — | 12 | 1 | no | — |
| 244 | C2×C8 | — | 3 | 2 | no | — |
| 245 | C2×C8 | — | 3 | 4 | no | — |
| 246 | C2×C8 | — | 3 | 4 | no | — |
| 247 | C2×C8 | — | 4 | 1 | no | — |
| 248 | C2×C8 | — | 12 | 4 | no | — |
| 249 | C2×C8 | — | 12 | 1 | no | — |
| 250 | C2×C8 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 251 | C2×C8 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 252 | C2×C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 253 | C2×C8 | D3×Q8 | 1 | 1 | yes | characteristic |
| 254 | C2×C8 | D3×Q8 | 1 | 1 | yes | characteristic |
| 255 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 256 | C4⋊C4 | — | 2 | 2 | no | — |
| 257 | C4⋊C4 | — | 4 | 1 | no | — |
| 258 | C4⋊C4 | — | 6 | 1 | no | — |
| 259 | C4⋊C4 | — | 6 | 1 | no | — |
| 260 | C4⋊C4 | — | 12 | 2 | no | — |
| 261 | C22⋊C4 | — | 12 | 2 | no | — |
| 262 | C22⋊C4 | — | 12 | 1 | no | — |
| 263 | C42 | — | 12 | 2 | no | — |
| 264 | C42 | — | 12 | 1 | no | — |
| 265 | C16 | — | 3 | 4 | no | — |
| 266 | C16 | C2×C4×D3 | 1 | 4 | yes | — |
| 267 | C22×C3 | — | 4 | 1 | no | — |
| 268 | C22×C3 | C2×#106 | 1 | 1 | yes | characteristic |
| 269 | C22×C3 | C2×#106 | 1 | 1 | yes | characteristic |
| 270 | C22×C3 | C22×SD16 | 1 | 1 | yes | characteristic |
| 271 | C2×D3 | — | 4 | 2 | no | — |
| 272 | C2×D3 | C2×#106 | 1 | 4 | yes | — |
| 273 | C3×C4 | — | 8 | 2 | no | — |
| 274 | C3×C4 | C2×#106 | 1 | 1 | yes | characteristic |
| 275 | C3×C4 | C2×#106 | 1 | 1 | yes | characteristic |
| 276 | C3×C4 | C22×C4⋊C4 | 1 | 1 | yes | characteristic |
| 277 | C3×C4 | C22×SD16 | 1 | 1 | yes | characteristic |
| 278 | Dic3 | — | 8 | 1 | no | — |
| 279 | Dic3 | — | 8 | 1 | no | — |
| 280 | Dic3 | C2×#106 | 1 | 4 | yes | — |
| 281 | C23 | — | 3 | 2 | no | — |
| 282 | C23 | D3×SD16 | 1 | 1 | yes | characteristic |
| 283 | Q8 | — | 3 | 2 | no | — |
| 284 | Q8 | — | 3 | 2 | no | — |
| 285 | D4 | — | 3 | 4 | no | — |
| 286 | D4 | — | 3 | 4 | no | — |
| 287 | D4 | — | 3 | 2 | no | — |
| 288 | D4 | — | 3 | 2 | no | — |
| 289 | C2×C4 | — | 3 | 2 | no | — |
| 290 | C2×C4 | — | 3 | 4 | no | — |
| 291 | C2×C4 | — | 3 | 4 | no | — |
| 292 | C2×C4 | — | 4 | 2 | no | — |
| 293 | C2×C4 | — | 12 | 1 | no | — |
| 294 | C2×C4 | — | 12 | 1 | no | — |
| 295 | C2×C4 | — | 16 | 1 | no | — |
| 296 | C2×C4 | — | 48 | 2 | no | — |
| 297 | C2×C4 | D3×C4⋊C4 | 1 | 1 | yes | characteristic |
| 298 | C2×C4 | D3×C4⋊C4 | 1 | 1 | yes | characteristic |
| 299 | C2×C4 | D3×SD16 | 1 | 1 | yes | characteristic |
| 300 | C2×C4 | D3×SD16 | 1 | 1 | yes | characteristic |
| 301 | C2×C4 | D3×SD16 | 1 | 1 | yes | characteristic |
| 302 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 303 | C8 | — | 3 | 4 | no | — |
| 304 | C8 | — | 4 | 2 | no | — |
| 305 | C8 | — | 12 | 2 | no | — |
| 306 | C8 | D3×C4⋊C4 | 1 | 1 | yes | characteristic |
| 307 | C8 | D3×C4⋊C4 | 1 | 1 | yes | characteristic |
| 308 | C8 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 309 | C8 | C2×D3×Q8 | 1 | 1 | yes | characteristic |
| 310 | C2×C3 | — | 2 | 1 | no | — |
| 311 | C2×C3 | — | 2 | 1 | no | — |
| 312 | C2×C3 | — | 2 | 1 | no | — |
| 313 | C2×C3 | C22×#106 | 1 | 1 | yes | characteristic |
| 314 | D3 | — | 2 | 4 | no | — |
| 315 | C22 | — | 3 | 4 | no | — |
| 316 | C22 | — | 4 | 1 | no | — |
| 317 | C22 | — | 12 | 2 | no | — |
| 318 | C22 | D3×#106 | 1 | 1 | yes | characteristic |
| 319 | C22 | D3×#106 | 1 | 1 | yes | characteristic |
| 320 | C22 | C2×D3×SD16 | 1 | 1 | yes | characteristic |
| 321 | C4 | — | 3 | 4 | no | — |
| 322 | C4 | — | 8 | 2 | no | — |
| 323 | C4 | — | 24 | 1 | no | — |
| 324 | C4 | — | 24 | 1 | no | — |
| 325 | C4 | D3×#106 | 1 | 1 | yes | characteristic |
| 326 | C4 | D3×#106 | 1 | 1 | yes | characteristic |
| 327 | C4 | C2×D3×C4⋊C4 | 1 | 1 | yes | characteristic |
| 328 | C4 | C2×D3×SD16 | 1 | 1 | yes | characteristic |
| 329 | C3 | #33404 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 330 | C2 | — | 2 | 1 | no | — |
| 331 | C2 | — | 2 | 1 | no | — |
| 332 | C2 | — | 2 | 1 | no | — |
| 333 | C2 | — | 6 | 4 | no | — |
| 334 | C2 | C2×D3×#106 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta