| 1 | #78983 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #78520 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#1932 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #70738 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #70734 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #70413 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #70405 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #70372 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #70143 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #70132 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #69874 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #69043 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #69034 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #68746 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #68737 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #27599 | — | 3 | 1 | no | maximal, Sylow |
| 17 | #5964 | C22 | 1 | 1 | yes | characteristic |
| 18 | #5745 | C22 | 1 | 1 | yes | characteristic |
| 19 | C4×#235 | C22 | 1 | 1 | yes | characteristic |
| 20 | C3×#430 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C3×#421 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×C3×#104 | C22 | 1 | 1 | yes | characteristic |
| 23 | C3×#413 | C22 | 1 | 1 | yes | characteristic |
| 24 | C3×C4×M16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #5236 | C22 | 1 | 1 | yes | characteristic |
| 26 | #5234 | C22 | 1 | 1 | yes | characteristic |
| 27 | #5233 | C22 | 1 | 1 | yes | characteristic |
| 28 | #5139 | C22 | 1 | 1 | yes | characteristic |
| 29 | #5139 | C22 | 1 | 1 | yes | characteristic |
| 30 | #5132 | C22 | 1 | 1 | yes | characteristic |
| 31 | #5132 | C22 | 1 | 1 | yes | characteristic |
| 32 | #5129 | C22 | 1 | 1 | yes | characteristic |
| 33 | #5129 | C22 | 1 | 1 | yes | characteristic |
| 34 | #5129 | C22 | 1 | 1 | yes | characteristic |
| 35 | #5124 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | #5119 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | #5119 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | #5119 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #5006 | C22 | 1 | 1 | yes | characteristic |
| 40 | #5002 | C22 | 1 | 1 | yes | characteristic |
| 41 | #4999 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | C2×#805 | C22 | 1 | 1 | yes | characteristic |
| 43 | C2×#803 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #4821 | — | 2 | 2 | no | — |
| 45 | D3×#104 | — | 2 | 2 | no | — |
| 46 | #4705 | — | 2 | 2 | no | — |
| 47 | #4690 | — | 2 | 2 | no | — |
| 48 | C3×#344 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C3×#339 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #4559 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #4558 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #4558 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #4557 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #4531 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #4523 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #2923 | — | 3 | 1 | no | — |
| 57 | #2901 | — | 3 | 1 | no | — |
| 58 | #2098 | — | 3 | 1 | no | — |
| 59 | #2098 | — | 3 | 1 | no | — |
| 60 | #2080 | — | 3 | 1 | no | — |
| 61 | #2080 | — | 3 | 1 | no | — |
| 62 | #1938 | — | 3 | 1 | no | — |
| 63 | #1938 | — | 3 | 1 | no | — |
| 64 | #1932 | — | 3 | 1 | no | — |
| 65 | #1932 | D3 | 1 | 1 | yes | characteristic, complemented |
| 66 | #1868 | — | 3 | 1 | no | — |
| 67 | #1858 | — | 3 | 1 | no | — |
| 68 | #1827 | — | 3 | 1 | no | — |
| 69 | #1794 | — | 3 | 1 | no | — |
| 70 | #1791 | — | 3 | 1 | no | — |
| 71 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 72 | #1010 | — | 2 | 1 | no | — |
| 73 | #1010 | — | 2 | 1 | no | — |
| 74 | #1009 | — | 2 | 1 | no | — |
| 75 | #1009 | — | 2 | 1 | no | — |
| 76 | D3×#41 | — | 2 | 2 | no | — |
| 77 | D3×#41 | — | 4 | 1 | no | — |
| 78 | #1007 | — | 2 | 1 | no | — |
| 79 | #1004 | — | 2 | 1 | no | — |
| 80 | #1004 | — | 2 | 2 | no | — |
| 81 | C2×#235 | — | 4 | 1 | no | — |
| 82 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 83 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 84 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 88 | C3×#117 | C23 | 1 | 1 | yes | characteristic |
| 89 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 90 | C4×#67 | — | 2 | 2 | no | — |
| 91 | #926 | C23 | 1 | 1 | yes | characteristic |
| 92 | #926 | C23 | 1 | 1 | yes | characteristic |
| 93 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 94 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 95 | C22×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 96 | C22×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 97 | #907 | — | 4 | 1 | no | — |
| 98 | D3×M16 | — | 2 | 2 | no | — |
| 99 | #901 | — | 4 | 1 | no | — |
| 100 | C4×D12 | — | 2 | 1 | no | — |
| 101 | #872 | D4 | 1 | 2 | yes | — |
| 102 | C42×D3 | D4 | 1 | 2 | yes | — |
| 103 | C4×Dic6 | — | 2 | 1 | no | — |
| 104 | C3×#108 | — | 4 | 1 | no | — |
| 105 | C3×#104 | — | 2 | 1 | no | — |
| 106 | C3×#104 | — | 2 | 1 | no | — |
| 107 | C3×#104 | — | 4 | 1 | no | — |
| 108 | C3×#101 | — | 2 | 1 | no | — |
| 109 | C3×#100 | — | 2 | 1 | no | — |
| 110 | C3×#97 | — | 2 | 1 | no | — |
| 111 | C3×C4×C8 | — | 2 | 1 | no | — |
| 112 | #837 | — | 2 | 2 | no | — |
| 113 | #835 | — | 2 | 1 | no | — |
| 114 | #832 | — | 2 | 1 | no | — |
| 115 | #830 | — | 4 | 1 | no | — |
| 116 | #825 | — | 2 | 2 | no | — |
| 117 | #825 | — | 4 | 1 | no | — |
| 118 | #824 | — | 2 | 1 | no | — |
| 119 | #824 | — | 2 | 1 | no | — |
| 120 | #823 | — | 2 | 1 | no | — |
| 121 | #823 | — | 2 | 1 | no | — |
| 122 | #822 | — | 4 | 1 | no | — |
| 123 | (C2×D3)⋊C8 | — | 2 | 2 | no | — |
| 124 | (C2×D3)⋊C8 | — | 2 | 2 | no | — |
| 125 | (C2×D3)⋊C8 | — | 4 | 1 | no | — |
| 126 | Dic3⋊C8 | — | 2 | 2 | no | — |
| 127 | Dic3⋊C8 | — | 2 | 2 | no | — |
| 128 | Dic3⋊C8 | — | 4 | 1 | no | — |
| 129 | #810 | — | 2 | 1 | no | — |
| 130 | #809 | — | 2 | 1 | no | — |
| 131 | #806 | — | 2 | 2 | no | — |
| 132 | #805 | — | 2 | 1 | no | — |
| 133 | #805 | — | 2 | 1 | no | — |
| 134 | C4⋊(C3⋊C8) | — | 4 | 1 | no | — |
| 135 | #803 | — | 2 | 1 | no | — |
| 136 | #803 | — | 2 | 1 | no | — |
| 137 | #585 | — | 3 | 1 | no | — |
| 138 | #568 | — | 3 | 1 | no | — |
| 139 | C4×#41 | — | 3 | 1 | no | — |
| 140 | #433 | — | 6 | 2 | no | — |
| 141 | #432 | — | 6 | 2 | no | — |
| 142 | #430 | — | 3 | 1 | no | — |
| 143 | #430 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 144 | #424 | — | 3 | 1 | no | — |
| 145 | #424 | — | 3 | 1 | no | — |
| 146 | #424 | — | 3 | 1 | no | — |
| 147 | #424 | — | 3 | 1 | no | — |
| 148 | #421 | — | 3 | 1 | no | — |
| 149 | #421 | — | 3 | 1 | no | — |
| 150 | #421 | — | 3 | 1 | no | — |
| 151 | #421 | — | 6 | 2 | no | — |
| 152 | #421 | C2×D3 | 1 | 1 | yes | characteristic |
| 153 | C2×#104 | — | 3 | 1 | no | — |
| 154 | C2×#104 | — | 6 | 2 | no | — |
| 155 | C2×#104 | C2×D3 | 1 | 1 | yes | characteristic |
| 156 | #416 | — | 3 | 1 | no | — |
| 157 | #416 | — | 3 | 1 | no | — |
| 158 | #413 | — | 3 | 1 | no | — |
| 159 | #413 | — | 3 | 1 | no | — |
| 160 | #413 | C2×D3 | 1 | 1 | yes | characteristic |
| 161 | #410 | — | 3 | 1 | no | — |
| 162 | #408 | — | 3 | 1 | no | — |
| 163 | #408 | — | 3 | 1 | no | — |
| 164 | #408 | — | 3 | 1 | no | — |
| 165 | #408 | — | 3 | 1 | no | — |
| 166 | C4×M16 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 167 | C2×#97 | — | 3 | 1 | no | — |
| 168 | #344 | — | 3 | 1 | no | — |
| 169 | #344 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 170 | #341 | — | 3 | 1 | no | — |
| 171 | #341 | — | 3 | 1 | no | — |
| 172 | #339 | — | 3 | 1 | no | — |
| 173 | #339 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 174 | H(3,ℤ/4) | — | 3 | 1 | no | — |
| 175 | H(3,ℤ/4) | — | 3 | 1 | no | — |
| 176 | C3×#41 | — | 2 | 1 | no | — |
| 177 | C3×#41 | — | 2 | 1 | no | — |
| 178 | C3×#41 | — | 2 | 1 | no | — |
| 179 | C3×#41 | — | 2 | 1 | no | — |
| 180 | C2×C3×Q8 | #41 | 1 | 1 | yes | characteristic |
| 181 | C2×C3×D4 | — | 2 | 1 | no | — |
| 182 | C2×C3×D4 | #41 | 1 | 1 | yes | characteristic |
| 183 | C22×C3×C4 | — | 2 | 1 | no | — |
| 184 | C22×C3×C4 | — | 2 | 1 | no | — |
| 185 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 186 | C2×#67 | — | 2 | 1 | no | — |
| 187 | C2×#67 | — | 4 | 2 | no | — |
| 188 | C2×#67 | #41 | 1 | 2 | yes | — |
| 189 | #239 | — | 2 | 2 | no | — |
| 190 | #239 | — | 4 | 1 | no | — |
| 191 | D3×Q8 | — | 2 | 2 | no | — |
| 192 | D3×Q8 | — | 4 | 1 | no | — |
| 193 | #237 | — | 2 | 2 | no | — |
| 194 | #237 | — | 4 | 1 | no | — |
| 195 | #237 | — | 4 | 2 | no | — |
| 196 | #237 | — | 4 | 2 | no | — |
| 197 | D3×D4 | — | 2 | 2 | no | — |
| 198 | D3×D4 | — | 4 | 1 | no | — |
| 199 | D3×D4 | — | 4 | 2 | no | — |
| 200 | D3×D4 | — | 4 | 2 | no | — |
| 201 | #235 | — | 2 | 1 | no | — |
| 202 | #235 | — | 2 | 1 | no | — |
| 203 | #235 | — | 2 | 1 | no | — |
| 204 | #235 | — | 2 | 1 | no | — |
| 205 | #235 | — | 2 | 1 | no | — |
| 206 | #235 | — | 2 | 1 | no | — |
| 207 | #235 | — | 2 | 1 | no | — |
| 208 | #235 | — | 2 | 1 | no | — |
| 209 | #235 | — | 4 | 1 | no | — |
| 210 | #235 | — | 4 | 1 | no | — |
| 211 | #235 | — | 4 | 2 | no | — |
| 212 | #235 | — | 4 | 2 | no | — |
| 213 | C2×D12 | — | 4 | 1 | no | — |
| 214 | C2×D12 | #41 | 1 | 1 | yes | characteristic |
| 215 | C2×D12 | #41 | 1 | 1 | yes | characteristic |
| 216 | C2×C4×D3 | — | 2 | 1 | no | — |
| 217 | C2×C4×D3 | — | 2 | 2 | no | — |
| 218 | C2×C4×D3 | — | 4 | 2 | no | — |
| 219 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 220 | C2×Dic6 | — | 4 | 1 | no | — |
| 221 | C2×Dic6 | #41 | 1 | 1 | yes | characteristic |
| 222 | C2×Dic6 | #41 | 1 | 1 | yes | characteristic |
| 223 | C3×M16 | — | 2 | 1 | no | — |
| 224 | C3×M16 | — | 2 | 1 | no | — |
| 225 | C3×M16 | — | 2 | 1 | no | — |
| 226 | C3×M16 | — | 2 | 1 | no | — |
| 227 | C3×M16 | — | 2 | 1 | no | — |
| 228 | C3×M16 | — | 2 | 1 | no | — |
| 229 | C3×M16 | — | 2 | 1 | no | — |
| 230 | C3×M16 | — | 2 | 1 | no | — |
| 231 | C2×C3×C8 | — | 2 | 1 | no | — |
| 232 | C2×C3×C8 | — | 2 | 1 | no | — |
| 233 | C2×C3×C8 | — | 2 | 1 | no | — |
| 234 | C2×C3×C8 | — | 2 | 1 | no | — |
| 235 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 236 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 237 | C3×C42 | — | 2 | 1 | no | — |
| 238 | C3×C42 | — | 2 | 1 | no | — |
| 239 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 240 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 241 | #217 | — | 2 | 1 | no | — |
| 242 | #217 | — | 2 | 1 | no | — |
| 243 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 244 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 245 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 246 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 247 | C4×Dic3 | — | 2 | 2 | no | — |
| 248 | C4×Dic3 | — | 2 | 1 | no | — |
| 249 | C4×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 250 | #208 | — | 2 | 1 | no | — |
| 251 | #208 | — | 2 | 1 | no | — |
| 252 | #208 | — | 2 | 1 | no | — |
| 253 | #208 | — | 2 | 1 | no | — |
| 254 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 255 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 256 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 257 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 258 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 259 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 260 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 261 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 262 | ΓL(1,𝔽25) | — | 4 | 2 | no | — |
| 263 | D3×C8 | — | 4 | 2 | no | — |
| 264 | 2−1+4 | — | 6 | 1 | no | — |
| 265 | 2−1+4 | — | 6 | 1 | no | — |
| 266 | 2−1+4 | — | 6 | 1 | no | — |
| 267 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 268 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 269 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 270 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 271 | C2×#41 | — | 3 | 1 | no | — |
| 272 | C2×#41 | — | 3 | 1 | no | — |
| 273 | C2×#41 | — | 6 | 2 | no | — |
| 274 | C2×#41 | — | 12 | 1 | no | — |
| 275 | C2×#41 | — | 12 | 1 | no | — |
| 276 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 277 | #131 | — | 12 | 1 | no | — |
| 278 | #131 | — | 12 | 1 | no | — |
| 279 | C2×M16 | — | 3 | 1 | no | — |
| 280 | C2×M16 | — | 3 | 1 | no | — |
| 281 | C2×M16 | — | 6 | 2 | no | — |
| 282 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 283 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 284 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 285 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 286 | C22×C8 | — | 3 | 1 | no | — |
| 287 | C22×C8 | — | 3 | 1 | no | — |
| 288 | C4×Q8 | — | 6 | 1 | no | — |
| 289 | C4×D4 | — | 6 | 1 | no | — |
| 290 | C4×D4 | — | 6 | 2 | no | — |
| 291 | #117 | — | 3 | 1 | no | — |
| 292 | #117 | — | 3 | 2 | no | — |
| 293 | #117 | — | 3 | 1 | no | — |
| 294 | #117 | C22×D3 | 1 | 1 | yes | characteristic |
| 295 | C2×C42 | — | 3 | 2 | no | — |
| 296 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 297 | #108 | — | 4 | 1 | no | — |
| 298 | #108 | — | 12 | 1 | no | — |
| 299 | C4⋊C8 | — | 6 | 2 | no | — |
| 300 | C4⋊C8 | — | 6 | 2 | no | — |
| 301 | C4⋊C8 | — | 12 | 1 | no | — |
| 302 | C4⋊C8 | — | 12 | 1 | no | — |
| 303 | #104 | — | 2 | 1 | no | — |
| 304 | #104 | — | 2 | 1 | no | — |
| 305 | #104 | — | 4 | 1 | no | — |
| 306 | #104 | — | 6 | 2 | no | — |
| 307 | #104 | — | 6 | 2 | no | — |
| 308 | #104 | — | 6 | 1 | no | — |
| 309 | #104 | — | 6 | 1 | no | — |
| 310 | #104 | — | 12 | 1 | no | — |
| 311 | #103 | — | 6 | 1 | no | — |
| 312 | #103 | — | 6 | 1 | no | — |
| 313 | #102 | — | 6 | 1 | no | — |
| 314 | #102 | — | 6 | 1 | no | — |
| 315 | #101 | — | 2 | 1 | no | — |
| 316 | #101 | — | 6 | 1 | no | — |
| 317 | #101 | — | 6 | 1 | no | — |
| 318 | #100 | — | 2 | 1 | no | — |
| 319 | #100 | — | 6 | 1 | no | — |
| 320 | #100 | — | 6 | 1 | no | — |
| 321 | #99 | — | 6 | 2 | no | — |
| 322 | C22⋊C8 | — | 6 | 2 | no | — |
| 323 | C22⋊C8 | — | 6 | 2 | no | — |
| 324 | C22⋊C8 | — | 12 | 1 | no | — |
| 325 | C22⋊C8 | — | 12 | 1 | no | — |
| 326 | #97 | — | 2 | 1 | no | — |
| 327 | #97 | — | 6 | 1 | no | — |
| 328 | #97 | — | 6 | 1 | no | — |
| 329 | C4×C8 | — | 2 | 1 | no | — |
| 330 | C23×C3 | — | 2 | 1 | no | — |
| 331 | C23×C3 | C2×#41 | 1 | 1 | yes | characteristic |
| 332 | C22×D3 | — | 2 | 1 | no | — |
| 333 | C22×D3 | — | 4 | 2 | no | — |
| 334 | C22×D3 | #123 | 1 | 2 | yes | — |
| 335 | C3×Q8 | — | 2 | 1 | no | — |
| 336 | C3×Q8 | — | 2 | 1 | no | — |
| 337 | C3×D4 | — | 2 | 1 | no | — |
| 338 | C3×D4 | — | 2 | 1 | no | — |
| 339 | C3×D4 | — | 4 | 1 | no | — |
| 340 | C3×D4 | — | 4 | 1 | no | — |
| 341 | C2×C3×C4 | — | 2 | 1 | no | — |
| 342 | C2×C3×C4 | — | 2 | 1 | no | — |
| 343 | C2×C3×C4 | — | 2 | 1 | no | — |
| 344 | C2×C3×C4 | — | 4 | 1 | no | — |
| 345 | C2×C3×C4 | — | 4 | 1 | no | — |
| 346 | C2×C3×C4 | — | 4 | 1 | no | — |
| 347 | C2×C3×C4 | — | 8 | 1 | no | — |
| 348 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 349 | C2×C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 350 | C2×C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 351 | C2×C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 352 | C2×C3×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 353 | C2×C3×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 354 | #67 | — | 2 | 2 | no | — |
| 355 | #67 | — | 2 | 2 | no | — |
| 356 | #67 | — | 4 | 2 | no | — |
| 357 | #67 | — | 4 | 2 | no | — |
| 358 | #67 | — | 4 | 1 | no | — |
| 359 | #67 | — | 4 | 1 | no | — |
| 360 | C2×Dic3 | — | 2 | 2 | no | — |
| 361 | C2×Dic3 | — | 2 | 1 | no | — |
| 362 | C2×Dic3 | — | 4 | 2 | no | — |
| 363 | C2×Dic3 | — | 4 | 1 | no | — |
| 364 | C2×Dic3 | #123 | 1 | 2 | yes | — |
| 365 | D12 | — | 2 | 1 | no | — |
| 366 | D12 | — | 2 | 1 | no | — |
| 367 | D12 | — | 2 | 1 | no | — |
| 368 | D12 | — | 2 | 1 | no | — |
| 369 | D12 | — | 4 | 2 | no | — |
| 370 | C4×D3 | — | 2 | 2 | no | — |
| 371 | C4×D3 | — | 2 | 2 | no | — |
| 372 | C4×D3 | — | 4 | 2 | no | — |
| 373 | C4×D3 | — | 4 | 2 | no | — |
| 374 | C4×D3 | — | 4 | 1 | no | — |
| 375 | C4×D3 | — | 4 | 1 | no | — |
| 376 | C4×D3 | — | 8 | 2 | no | — |
| 377 | Dic6 | — | 2 | 1 | no | — |
| 378 | Dic6 | — | 2 | 1 | no | — |
| 379 | Dic6 | — | 2 | 1 | no | — |
| 380 | Dic6 | — | 2 | 1 | no | — |
| 381 | Dic6 | — | 4 | 2 | no | — |
| 382 | C3×C8 | — | 4 | 1 | no | — |
| 383 | C3×C8 | — | 4 | 1 | no | — |
| 384 | C3×C8 | — | 4 | 1 | no | — |
| 385 | C3×C8 | — | 4 | 1 | no | — |
| 386 | C3⋊C8 | — | 4 | 1 | no | — |
| 387 | C3⋊C8 | — | 4 | 1 | no | — |
| 388 | C3⋊C8 | — | 4 | 1 | no | — |
| 389 | C3⋊C8 | — | 4 | 1 | no | — |
| 390 | #41 | — | 2 | 1 | no | — |
| 391 | #41 | — | 2 | 1 | no | — |
| 392 | #41 | — | 2 | 1 | no | — |
| 393 | #41 | — | 2 | 1 | no | — |
| 394 | #41 | — | 6 | 1 | no | — |
| 395 | #41 | — | 6 | 1 | no | — |
| 396 | #41 | — | 6 | 1 | no | — |
| 397 | #41 | — | 6 | 1 | no | — |
| 398 | #41 | — | 6 | 2 | no | — |
| 399 | #41 | — | 6 | 2 | no | — |
| 400 | #41 | — | 6 | 1 | no | — |
| 401 | #41 | — | 6 | 1 | no | — |
| 402 | #41 | — | 6 | 1 | no | — |
| 403 | #41 | — | 6 | 1 | no | — |
| 404 | #41 | — | 12 | 2 | no | — |
| 405 | #41 | — | 12 | 2 | no | — |
| 406 | #41 | — | 12 | 2 | no | — |
| 407 | #41 | — | 12 | 1 | no | — |
| 408 | #41 | — | 12 | 1 | no | — |
| 409 | #41 | — | 12 | 2 | no | — |
| 410 | #41 | — | 12 | 1 | no | — |
| 411 | #41 | — | 12 | 1 | no | — |
| 412 | C2×Q8 | — | 3 | 1 | no | — |
| 413 | C2×Q8 | — | 3 | 1 | no | — |
| 414 | C2×Q8 | — | 6 | 2 | no | — |
| 415 | C2×Q8 | — | 12 | 1 | no | — |
| 416 | C2×Q8 | — | 12 | 1 | no | — |
| 417 | C2×Q8 | #235 | 1 | 1 | yes | characteristic |
| 418 | C2×D4 | — | 2 | 1 | no | — |
| 419 | C2×D4 | — | 3 | 2 | no | — |
| 420 | C2×D4 | — | 3 | 1 | no | — |
| 421 | C2×D4 | — | 3 | 1 | no | — |
| 422 | C2×D4 | — | 6 | 2 | no | — |
| 423 | C2×D4 | — | 6 | 1 | no | — |
| 424 | C2×D4 | — | 12 | 1 | no | — |
| 425 | C2×D4 | — | 12 | 1 | no | — |
| 426 | C2×D4 | — | 12 | 2 | no | — |
| 427 | C2×D4 | — | 12 | 2 | no | — |
| 428 | C2×D4 | — | 12 | 2 | no | — |
| 429 | C2×D4 | #235 | 1 | 1 | yes | characteristic |
| 430 | C22×C4 | — | 2 | 1 | no | — |
| 431 | C22×C4 | — | 2 | 1 | no | — |
| 432 | C22×C4 | — | 3 | 2 | no | — |
| 433 | C22×C4 | — | 6 | 2 | no | — |
| 434 | C22×C4 | — | 6 | 1 | no | — |
| 435 | C22×C4 | — | 12 | 2 | no | — |
| 436 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 437 | M16 | — | 2 | 1 | no | — |
| 438 | M16 | — | 2 | 1 | no | — |
| 439 | M16 | — | 2 | 1 | no | — |
| 440 | M16 | — | 2 | 1 | no | — |
| 441 | M16 | — | 2 | 1 | no | — |
| 442 | M16 | — | 2 | 1 | no | — |
| 443 | M16 | — | 2 | 1 | no | — |
| 444 | M16 | — | 2 | 1 | no | — |
| 445 | M16 | — | 6 | 1 | no | — |
| 446 | M16 | — | 6 | 1 | no | — |
| 447 | M16 | — | 6 | 1 | no | — |
| 448 | M16 | — | 6 | 1 | no | — |
| 449 | M16 | — | 12 | 2 | no | — |
| 450 | C2×C8 | — | 2 | 1 | no | — |
| 451 | C2×C8 | — | 2 | 1 | no | — |
| 452 | C2×C8 | — | 2 | 1 | no | — |
| 453 | C2×C8 | — | 2 | 1 | no | — |
| 454 | C2×C8 | — | 6 | 1 | no | — |
| 455 | C2×C8 | — | 6 | 1 | no | — |
| 456 | C2×C8 | — | 6 | 1 | no | — |
| 457 | C2×C8 | — | 6 | 1 | no | — |
| 458 | C2×C8 | — | 6 | 1 | no | — |
| 459 | C2×C8 | — | 6 | 1 | no | — |
| 460 | C2×C8 | — | 6 | 1 | no | — |
| 461 | C2×C8 | — | 6 | 1 | no | — |
| 462 | C2×C8 | — | 12 | 2 | no | — |
| 463 | C4⋊C4 | — | 2 | 1 | no | — |
| 464 | C4⋊C4 | — | 6 | 2 | no | — |
| 465 | C4⋊C4 | — | 6 | 1 | no | — |
| 466 | C4⋊C4 | — | 6 | 1 | no | — |
| 467 | C22⋊C4 | — | 2 | 1 | no | — |
| 468 | C22⋊C4 | — | 6 | 2 | no | — |
| 469 | C22⋊C4 | — | 6 | 1 | no | — |
| 470 | C22⋊C4 | — | 6 | 1 | no | — |
| 471 | C42 | — | 2 | 1 | no | — |
| 472 | C42 | — | 2 | 1 | no | — |
| 473 | C42 | — | 3 | 2 | no | — |
| 474 | C42 | — | 6 | 2 | no | — |
| 475 | C42 | — | 6 | 1 | no | — |
| 476 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 477 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 478 | C22×C3 | — | 4 | 1 | no | — |
| 479 | C22×C3 | — | 4 | 1 | no | — |
| 480 | C22×C3 | — | 8 | 1 | no | — |
| 481 | C22×C3 | C2×#123 | 1 | 1 | yes | characteristic |
| 482 | C22×C3 | #551 | 1 | 1 | yes | characteristic |
| 483 | C22×C3 | #551 | 1 | 1 | yes | characteristic |
| 484 | C2×D3 | — | 2 | 2 | no | — |
| 485 | C2×D3 | — | 4 | 2 | no | — |
| 486 | C2×D3 | — | 4 | 1 | no | — |
| 487 | C2×D3 | — | 8 | 1 | no | — |
| 488 | C2×D3 | — | 16 | 2 | no | — |
| 489 | C3×C4 | — | 4 | 1 | no | — |
| 490 | C3×C4 | — | 4 | 1 | no | — |
| 491 | C3×C4 | — | 4 | 1 | no | — |
| 492 | C3×C4 | — | 8 | 1 | no | — |
| 493 | C3×C4 | #525 | 1 | 1 | yes | characteristic |
| 494 | C3×C4 | #535 | 1 | 1 | yes | characteristic |
| 495 | C3×C4 | #551 | 1 | 1 | yes | characteristic |
| 496 | C3×C4 | #551 | 1 | 1 | yes | characteristic |
| 497 | Dic3 | — | 2 | 2 | no | — |
| 498 | Dic3 | — | 4 | 2 | no | — |
| 499 | Dic3 | — | 4 | 1 | no | — |
| 500 | Dic3 | — | 8 | 1 | no | — |
| 501 | C23 | — | 2 | 1 | no | — |
| 502 | C23 | — | 3 | 2 | no | — |
| 503 | C23 | — | 6 | 1 | no | — |
| 504 | C23 | — | 12 | 2 | no | — |
| 505 | C23 | D3×#41 | 1 | 1 | yes | characteristic |
| 506 | Q8 | — | 2 | 1 | no | — |
| 507 | Q8 | — | 2 | 1 | no | — |
| 508 | Q8 | — | 6 | 1 | no | — |
| 509 | Q8 | — | 6 | 1 | no | — |
| 510 | Q8 | — | 6 | 1 | no | — |
| 511 | Q8 | — | 6 | 1 | no | — |
| 512 | Q8 | — | 12 | 2 | no | — |
| 513 | D4 | — | 2 | 1 | no | — |
| 514 | D4 | — | 2 | 1 | no | — |
| 515 | D4 | — | 4 | 1 | no | — |
| 516 | D4 | — | 4 | 1 | no | — |
| 517 | D4 | — | 6 | 2 | no | — |
| 518 | D4 | — | 6 | 2 | no | — |
| 519 | D4 | — | 6 | 1 | no | — |
| 520 | D4 | — | 6 | 1 | no | — |
| 521 | D4 | — | 6 | 1 | no | — |
| 522 | D4 | — | 6 | 1 | no | — |
| 523 | D4 | — | 12 | 2 | no | — |
| 524 | D4 | — | 12 | 2 | no | — |
| 525 | D4 | — | 12 | 2 | no | — |
| 526 | D4 | — | 12 | 1 | no | — |
| 527 | D4 | — | 12 | 1 | no | — |
| 528 | C2×C4 | — | 2 | 1 | no | — |
| 529 | C2×C4 | — | 2 | 1 | no | — |
| 530 | C2×C4 | — | 2 | 1 | no | — |
| 531 | C2×C4 | — | 3 | 2 | no | — |
| 532 | C2×C4 | — | 4 | 1 | no | — |
| 533 | C2×C4 | — | 4 | 1 | no | — |
| 534 | C2×C4 | — | 4 | 1 | no | — |
| 535 | C2×C4 | — | 6 | 2 | no | — |
| 536 | C2×C4 | — | 6 | 2 | no | — |
| 537 | C2×C4 | — | 6 | 2 | no | — |
| 538 | C2×C4 | — | 6 | 1 | no | — |
| 539 | C2×C4 | — | 8 | 1 | no | — |
| 540 | C2×C4 | — | 12 | 2 | no | — |
| 541 | C2×C4 | — | 12 | 2 | no | — |
| 542 | C2×C4 | — | 12 | 2 | no | — |
| 543 | C2×C4 | — | 12 | 1 | no | — |
| 544 | C2×C4 | — | 12 | 1 | no | — |
| 545 | C2×C4 | — | 12 | 1 | no | — |
| 546 | C2×C4 | — | 24 | 2 | no | — |
| 547 | C2×C4 | C2×#235 | 1 | 1 | yes | characteristic |
| 548 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 549 | C2×C4 | #1004 | 1 | 1 | yes | characteristic |
| 550 | C2×C4 | D3×#41 | 1 | 1 | yes | characteristic |
| 551 | C2×C4 | D3×#41 | 1 | 1 | yes | characteristic |
| 552 | C2×C4 | #1009 | 1 | 1 | yes | characteristic |
| 553 | C8 | — | 4 | 1 | no | — |
| 554 | C8 | — | 4 | 1 | no | — |
| 555 | C8 | — | 4 | 1 | no | — |
| 556 | C8 | — | 4 | 1 | no | — |
| 557 | C8 | — | 12 | 1 | no | — |
| 558 | C8 | — | 12 | 1 | no | — |
| 559 | C8 | — | 12 | 1 | no | — |
| 560 | C8 | — | 12 | 1 | no | — |
| 561 | C2×C3 | — | 2 | 1 | no | — |
| 562 | C2×C3 | — | 2 | 1 | no | — |
| 563 | C2×C3 | — | 2 | 1 | no | — |
| 564 | C2×C3 | — | 8 | 1 | no | — |
| 565 | C2×C3 | #2482 | 1 | 1 | yes | characteristic |
| 566 | D3 | — | 4 | 2 | no | — |
| 567 | D3 | — | 8 | 1 | no | — |
| 568 | C22 | — | 4 | 1 | no | — |
| 569 | C22 | — | 4 | 1 | no | — |
| 570 | C22 | — | 6 | 2 | no | — |
| 571 | C22 | — | 8 | 1 | no | — |
| 572 | C22 | — | 12 | 2 | no | — |
| 573 | C22 | — | 12 | 1 | no | — |
| 574 | C22 | — | 24 | 1 | no | — |
| 575 | C22 | — | 48 | 2 | no | — |
| 576 | C22 | #5527 | 1 | 1 | yes | characteristic |
| 577 | C22 | D3×#123 | 1 | 1 | yes | characteristic |
| 578 | C22 | #5679 | 1 | 1 | yes | characteristic |
| 579 | C4 | — | 4 | 1 | no | — |
| 580 | C4 | — | 4 | 1 | no | — |
| 581 | C4 | — | 4 | 1 | no | — |
| 582 | C4 | — | 6 | 2 | no | — |
| 583 | C4 | — | 8 | 1 | no | — |
| 584 | C4 | — | 12 | 2 | no | — |
| 585 | C4 | — | 12 | 1 | no | — |
| 586 | C4 | — | 24 | 1 | no | — |
| 587 | C4 | #5547 | 1 | 1 | yes | characteristic |
| 588 | C4 | #5556 | 1 | 1 | yes | characteristic |
| 589 | C4 | #5607 | 1 | 1 | yes | characteristic |
| 590 | C4 | #5705 | 1 | 1 | yes | characteristic |
| 591 | C3 | #27599 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 592 | C2 | — | 2 | 1 | no | — |
| 593 | C2 | — | 2 | 1 | no | — |
| 594 | C2 | — | 2 | 1 | no | — |
| 595 | C2 | — | 8 | 1 | no | — |
| 596 | C2 | — | 12 | 2 | no | — |
| 597 | C2 | — | 24 | 1 | no | — |
| 598 | C2 | #75866 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta