| 1 | #79077 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #78989 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C3×#2080 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #70548 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #70394 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #70296 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #70290 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #70144 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #70133 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #69024 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #69014 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #68936 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #68927 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #68714 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #68697 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #23834 | — | 3 | 1 | no | maximal, Sylow |
| 17 | #5822 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#948 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#907 | C22 | 1 | 1 | yes | characteristic |
| 20 | #5517 | C22 | 1 | 1 | yes | characteristic |
| 21 | C3×#424 | C22 | 1 | 1 | yes | characteristic |
| 22 | C3×#421 | C22 | 1 | 1 | yes | characteristic |
| 23 | C3×#416 | C22 | 1 | 1 | yes | characteristic |
| 24 | C3×#413 | C22 | 1 | 1 | yes | characteristic |
| 25 | #5240 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#837 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#825 | C22 | 1 | 1 | yes | characteristic |
| 28 | #5132 | C22 | 1 | 1 | yes | characteristic |
| 29 | #5124 | C22 | 1 | 1 | yes | characteristic |
| 30 | #5122 | C22 | 1 | 1 | yes | characteristic |
| 31 | #5122 | C22 | 1 | 1 | yes | characteristic |
| 32 | #5118 | C22 | 1 | 1 | yes | characteristic |
| 33 | #5113 | C22 | 1 | 1 | yes | characteristic |
| 34 | #5102 | C22 | 1 | 1 | yes | characteristic |
| 35 | C2×#815 | C22 | 1 | 1 | yes | characteristic |
| 36 | #5006 | C22 | 1 | 1 | yes | characteristic |
| 37 | #5005 | C22 | 1 | 1 | yes | characteristic |
| 38 | #4997 | C22 | 1 | 1 | yes | characteristic |
| 39 | #4997 | C22 | 1 | 1 | yes | characteristic |
| 40 | #4831 | — | 2 | 2 | no | — |
| 41 | #4828 | — | 2 | 2 | no | — |
| 42 | #4824 | — | 2 | 2 | no | — |
| 43 | #4823 | — | 2 | 2 | no | — |
| 44 | C3×#344 | C22 | 1 | 1 | yes | characteristic |
| 45 | C3×#341 | C22 | 1 | 1 | yes | characteristic |
| 46 | C3×H(3,ℤ/4) | C22 | 1 | 1 | yes | characteristic |
| 47 | C3⋊#338 | C22 | 1 | 1 | yes | characteristic |
| 48 | #4559 | C22 | 1 | 1 | yes | characteristic |
| 49 | #4559 | C22 | 1 | 1 | yes | characteristic |
| 50 | #4556 | C22 | 1 | 1 | yes | characteristic |
| 51 | #4555 | C22 | 1 | 1 | yes | characteristic |
| 52 | #4552 | C22 | 1 | 1 | yes | characteristic |
| 53 | #4532 | C22 | 1 | 1 | yes | characteristic |
| 54 | #4531 | C22 | 1 | 1 | yes | characteristic |
| 55 | #4531 | C22 | 1 | 1 | yes | characteristic |
| 56 | #2961 | — | 3 | 1 | no | — |
| 57 | #2955 | — | 3 | 1 | no | — |
| 58 | #2103 | — | 3 | 1 | no | — |
| 59 | #2102 | — | 3 | 1 | no | — |
| 60 | #2080 | — | 3 | 1 | no | — |
| 61 | #2080 | D3 | 1 | 1 | yes | characteristic, complemented |
| 62 | #2053 | — | 3 | 1 | no | — |
| 63 | #2050 | — | 3 | 1 | no | — |
| 64 | #2031 | — | 3 | 1 | no | — |
| 65 | #2031 | — | 3 | 1 | no | — |
| 66 | #1765 | — | 3 | 1 | no | — |
| 67 | #1765 | — | 3 | 1 | no | — |
| 68 | #1757 | — | 3 | 1 | no | — |
| 69 | #1757 | — | 3 | 1 | no | — |
| 70 | #1747 | — | 3 | 1 | no | — |
| 71 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 72 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 73 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 74 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 75 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 76 | C22×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 77 | C3×#117 | C23 | 1 | 1 | yes | characteristic |
| 78 | C3×#117 | C23 | 1 | 1 | yes | characteristic |
| 79 | #951 | — | 2 | 1 | no | — |
| 80 | #950 | — | 2 | 2 | no | — |
| 81 | #949 | — | 2 | 1 | no | — |
| 82 | #948 | — | 2 | 1 | no | — |
| 83 | #948 | — | 2 | 1 | no | — |
| 84 | #948 | — | 2 | 1 | no | — |
| 85 | #948 | — | 2 | 1 | no | — |
| 86 | #942 | — | 2 | 1 | no | — |
| 87 | #932 | — | 2 | 1 | no | — |
| 88 | #926 | C23 | 1 | 1 | yes | characteristic |
| 89 | #926 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 91 | C2×#208 | — | 2 | 1 | no | — |
| 92 | C2×#208 | 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 | — | 2 | 1 | no | — |
| 96 | C22×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 97 | #907 | — | 2 | 1 | no | — |
| 98 | #907 | — | 2 | 1 | no | — |
| 99 | #907 | — | 2 | 1 | no | — |
| 100 | #907 | — | 2 | 1 | no | — |
| 101 | C2×ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 102 | C2×D3×C8 | — | 2 | 1 | no | — |
| 103 | #890 | — | 2 | 1 | no | — |
| 104 | #888 | — | 2 | 1 | no | — |
| 105 | #878 | — | 2 | 2 | no | — |
| 106 | C4×Dic6 | — | 2 | 2 | no | — |
| 107 | C3×C4⋊C8 | — | 2 | 2 | no | — |
| 108 | C3×#104 | — | 2 | 2 | no | — |
| 109 | C3×#103 | — | 2 | 1 | no | — |
| 110 | C3×#102 | — | 2 | 1 | no | — |
| 111 | C3×#101 | — | 2 | 1 | no | — |
| 112 | C3×#100 | — | 2 | 1 | no | — |
| 113 | #837 | — | 2 | 1 | no | — |
| 114 | #837 | — | 2 | 1 | no | — |
| 115 | #834 | — | 2 | 2 | no | — |
| 116 | #825 | — | 2 | 1 | no | — |
| 117 | #825 | — | 2 | 1 | no | — |
| 118 | #824 | — | 2 | 1 | no | — |
| 119 | #823 | — | 2 | 1 | no | — |
| 120 | #822 | — | 2 | 2 | no | — |
| 121 | #821 | — | 2 | 1 | no | — |
| 122 | #816 | — | 2 | 1 | no | — |
| 123 | #815 | — | 2 | 1 | no | — |
| 124 | #815 | — | 2 | 1 | no | — |
| 125 | #815 | — | 2 | 1 | no | — |
| 126 | #815 | — | 2 | 1 | no | — |
| 127 | Dic3⋊C8 | — | 2 | 2 | no | — |
| 128 | Dic3⋊C8 | — | 2 | 2 | no | — |
| 129 | C8×Dic3 | — | 2 | 1 | no | — |
| 130 | C8×Dic3 | — | 2 | 1 | no | — |
| 131 | #806 | — | 2 | 2 | no | — |
| 132 | #805 | — | 2 | 2 | no | — |
| 133 | #803 | — | 2 | 1 | no | — |
| 134 | #803 | D4 | 1 | 2 | yes | — |
| 135 | C4×C3⋊C8 | — | 2 | 1 | no | — |
| 136 | C4×C3⋊C8 | D4 | 1 | 2 | yes | — |
| 137 | #575 | — | 3 | 1 | no | — |
| 138 | C2×#131 | — | 3 | 1 | no | — |
| 139 | C2×#131 | — | 3 | 1 | no | — |
| 140 | #533 | — | 3 | 1 | no | — |
| 141 | #446 | — | 6 | 2 | no | — |
| 142 | #446 | — | 6 | 2 | no | — |
| 143 | #444 | — | 6 | 2 | no | — |
| 144 | #443 | — | 6 | 2 | no | — |
| 145 | #430 | — | 3 | 1 | no | — |
| 146 | #424 | — | 3 | 1 | no | — |
| 147 | #424 | C2×D3 | 1 | 1 | yes | characteristic |
| 148 | #423 | — | 3 | 1 | no | — |
| 149 | #421 | — | 3 | 1 | no | — |
| 150 | #421 | C2×D3 | 1 | 1 | yes | characteristic |
| 151 | C2×#104 | — | 3 | 1 | no | — |
| 152 | C2×#104 | — | 3 | 1 | no | — |
| 153 | #416 | — | 3 | 1 | no | — |
| 154 | #416 | C2×D3 | 1 | 1 | yes | characteristic |
| 155 | #413 | — | 3 | 1 | no | — |
| 156 | #413 | C2×D3 | 1 | 1 | yes | characteristic |
| 157 | #410 | — | 3 | 1 | no | — |
| 158 | #410 | — | 3 | 1 | no | — |
| 159 | #405 | — | 3 | 1 | no | — |
| 160 | #405 | — | 3 | 1 | no | — |
| 161 | #405 | — | 3 | 1 | no | — |
| 162 | #405 | — | 3 | 1 | no | — |
| 163 | C2×#97 | — | 3 | 1 | no | — |
| 164 | #344 | — | 3 | 1 | no | — |
| 165 | #344 | — | 3 | 1 | no | — |
| 166 | #344 | — | 3 | 1 | no | — |
| 167 | #344 | C2×D3 | 1 | 1 | yes | characteristic |
| 168 | #341 | — | 3 | 1 | no | — |
| 169 | #341 | C2×D3 | 1 | 1 | yes | characteristic |
| 170 | #339 | — | 3 | 1 | no | — |
| 171 | #339 | — | 3 | 1 | no | — |
| 172 | #338 | — | 3 | 1 | no | — |
| 173 | H(3,ℤ/4) | — | 3 | 1 | no | — |
| 174 | H(3,ℤ/4) | — | 3 | 1 | no | — |
| 175 | H(3,ℤ/4) | C2×D3 | 1 | 1 | yes | characteristic |
| 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 | C24 | 1 | 1 | yes | characteristic |
| 185 | C2×#67 | — | 2 | 1 | no | — |
| 186 | C22×Dic3 | — | 2 | 1 | no | — |
| 187 | #235 | — | 2 | 1 | no | — |
| 188 | #235 | — | 2 | 1 | no | — |
| 189 | #235 | — | 2 | 1 | no | — |
| 190 | #235 | — | 2 | 1 | no | — |
| 191 | C2×D12 | #41 | 1 | 1 | yes | characteristic |
| 192 | C2×C4×D3 | — | 2 | 1 | no | — |
| 193 | C2×Dic6 | — | 2 | 2 | no | — |
| 194 | C2×Dic6 | #41 | 1 | 1 | yes | characteristic |
| 195 | C3×M16 | — | 2 | 1 | no | — |
| 196 | C3×M16 | — | 2 | 1 | no | — |
| 197 | C3×M16 | — | 2 | 1 | no | — |
| 198 | C3×M16 | — | 2 | 1 | no | — |
| 199 | C3×M16 | — | 2 | 1 | no | — |
| 200 | C3×M16 | — | 2 | 1 | no | — |
| 201 | C2×C3×C8 | — | 2 | 1 | no | — |
| 202 | C2×C3×C8 | — | 2 | 1 | no | — |
| 203 | C2×C3×C8 | — | 2 | 1 | no | — |
| 204 | C2×C3×C8 | — | 2 | 1 | no | — |
| 205 | C2×C3×C8 | — | 2 | 1 | no | — |
| 206 | C2×C3×C8 | — | 2 | 1 | no | — |
| 207 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 208 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 209 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 210 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 211 | C3×C42 | — | 2 | 1 | no | — |
| 212 | C3×C42 | C2×D4 | 1 | 2 | yes | — |
| 213 | #217 | — | 2 | 1 | no | — |
| 214 | #217 | #41 | 1 | 2 | yes | — |
| 215 | #216 | — | 2 | 2 | no | — |
| 216 | #215 | — | 2 | 2 | no | — |
| 217 | #214 | — | 2 | 2 | no | — |
| 218 | #213 | — | 2 | 2 | no | — |
| 219 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 220 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 221 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 222 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 223 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 224 | C4×Dic3 | — | 2 | 1 | no | — |
| 225 | C4×Dic3 | — | 2 | 1 | no | — |
| 226 | C4×Dic3 | — | 2 | 1 | no | — |
| 227 | C4×Dic3 | #41 | 1 | 1 | yes | characteristic |
| 228 | C4×Dic3 | #41 | 1 | 1 | yes | characteristic |
| 229 | #208 | — | 2 | 1 | no | — |
| 230 | #208 | — | 2 | 1 | no | — |
| 231 | #208 | — | 2 | 1 | no | — |
| 232 | #208 | — | 2 | 1 | no | — |
| 233 | #208 | — | 2 | 1 | no | — |
| 234 | #208 | — | 2 | 1 | no | — |
| 235 | #208 | — | 4 | 1 | no | — |
| 236 | #208 | — | 4 | 1 | no | — |
| 237 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 238 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 239 | C2×C3⋊C8 | — | 4 | 1 | no | — |
| 240 | C2×C3⋊C8 | — | 4 | 1 | no | — |
| 241 | C2×C3⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 242 | C2×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 243 | C2×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | C2×C3⋊C8 | #41 | 1 | 1 | yes | characteristic |
| 245 | C2×C3⋊C8 | #41 | 1 | 1 | yes | characteristic |
| 246 | C2×C3⋊C8 | #41 | 1 | 1 | yes | characteristic |
| 247 | C2×C3⋊C8 | #41 | 1 | 1 | yes | characteristic |
| 248 | ΓL(1,𝔽25) | — | 4 | 1 | no | — |
| 249 | ΓL(1,𝔽25) | — | 4 | 1 | no | — |
| 250 | D3×C8 | — | 4 | 1 | no | — |
| 251 | D3×C8 | — | 4 | 1 | no | — |
| 252 | C2×#41 | — | 3 | 1 | no | — |
| 253 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 254 | #137 | — | 6 | 1 | no | — |
| 255 | #137 | — | 6 | 1 | no | — |
| 256 | AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 257 | AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 258 | #135 | — | 6 | 2 | no | — |
| 259 | #131 | — | 6 | 1 | no | — |
| 260 | #131 | — | 6 | 1 | no | — |
| 261 | #131 | — | 6 | 1 | no | — |
| 262 | #131 | — | 6 | 1 | no | — |
| 263 | #131 | — | 6 | 1 | no | — |
| 264 | #131 | — | 6 | 1 | no | — |
| 265 | #131 | — | 6 | 1 | no | — |
| 266 | #131 | — | 6 | 1 | no | — |
| 267 | C2×M16 | — | 3 | 1 | no | — |
| 268 | C2×M16 | — | 3 | 1 | no | — |
| 269 | C2×M16 | — | 3 | 1 | no | — |
| 270 | C2×M16 | — | 6 | 1 | no | — |
| 271 | C2×M16 | — | 6 | 1 | no | — |
| 272 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 273 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 274 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 275 | C22×C8 | — | 3 | 1 | no | — |
| 276 | C22×C8 | — | 6 | 1 | no | — |
| 277 | C22×C8 | — | 6 | 1 | no | — |
| 278 | C22×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 279 | C4⋊Q8 | — | 6 | 1 | no | — |
| 280 | #125 | — | 6 | 1 | no | — |
| 281 | C22⋊Q8 | — | 6 | 2 | no | — |
| 282 | C4×Q8 | — | 6 | 2 | no | — |
| 283 | #117 | — | 3 | 1 | no | — |
| 284 | #117 | — | 3 | 1 | no | — |
| 285 | #117 | C22×D3 | 1 | 1 | yes | characteristic |
| 286 | #117 | C22×D3 | 1 | 1 | yes | characteristic |
| 287 | C2×C42 | — | 3 | 1 | no | — |
| 288 | #108 | — | 6 | 2 | no | — |
| 289 | C4⋊C8 | — | 2 | 2 | no | — |
| 290 | C4⋊C8 | — | 6 | 2 | no | — |
| 291 | C4⋊C8 | — | 6 | 2 | no | — |
| 292 | #104 | — | 2 | 2 | no | — |
| 293 | #104 | — | 6 | 1 | no | — |
| 294 | #104 | — | 6 | 1 | no | — |
| 295 | #104 | — | 6 | 1 | no | — |
| 296 | #104 | — | 6 | 1 | no | — |
| 297 | #104 | — | 6 | 2 | no | — |
| 298 | #103 | — | 2 | 1 | no | — |
| 299 | #103 | — | 6 | 1 | no | — |
| 300 | #102 | — | 2 | 1 | no | — |
| 301 | #102 | — | 6 | 1 | no | — |
| 302 | #101 | — | 2 | 1 | no | — |
| 303 | #101 | — | 6 | 1 | no | — |
| 304 | #100 | — | 2 | 1 | no | — |
| 305 | #100 | — | 6 | 1 | no | — |
| 306 | #99 | — | 6 | 2 | no | — |
| 307 | #99 | — | 6 | 2 | no | — |
| 308 | #97 | — | 3 | 2 | no | — |
| 309 | #97 | — | 6 | 1 | no | — |
| 310 | #97 | — | 6 | 1 | no | — |
| 311 | #97 | — | 6 | 1 | no | — |
| 312 | #97 | — | 6 | 1 | no | — |
| 313 | #97 | — | 6 | 1 | no | — |
| 314 | C4×C8 | — | 3 | 2 | no | — |
| 315 | C4×C8 | — | 6 | 1 | no | — |
| 316 | C4×C8 | — | 6 | 1 | no | — |
| 317 | C4×C8 | — | 6 | 1 | no | — |
| 318 | C23×C3 | — | 2 | 1 | no | — |
| 319 | C23×C3 | C2×#41 | 1 | 1 | yes | characteristic |
| 320 | C22×D3 | — | 2 | 1 | no | — |
| 321 | C3×Q8 | — | 2 | 1 | no | — |
| 322 | C3×Q8 | — | 2 | 1 | no | — |
| 323 | C3×D4 | — | 2 | 1 | no | — |
| 324 | C3×D4 | — | 2 | 1 | no | — |
| 325 | C3×D4 | — | 4 | 1 | no | — |
| 326 | C3×D4 | — | 4 | 1 | no | — |
| 327 | C2×C3×C4 | — | 2 | 2 | no | — |
| 328 | C2×C3×C4 | — | 2 | 1 | no | — |
| 329 | C2×C3×C4 | — | 4 | 1 | no | — |
| 330 | C2×C3×C4 | — | 4 | 1 | no | — |
| 331 | C2×C3×C4 | — | 4 | 1 | no | — |
| 332 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 333 | C2×C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 334 | C2×C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 335 | C2×C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 336 | C2×C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 337 | C2×C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 338 | #67 | — | 4 | 1 | no | — |
| 339 | #67 | — | 4 | 1 | no | — |
| 340 | C2×Dic3 | — | 2 | 1 | no | — |
| 341 | C2×Dic3 | — | 2 | 1 | no | — |
| 342 | C2×Dic3 | — | 2 | 2 | no | — |
| 343 | C2×Dic3 | — | 2 | 1 | no | — |
| 344 | C2×Dic3 | — | 4 | 1 | no | — |
| 345 | C2×Dic3 | — | 8 | 1 | no | — |
| 346 | D12 | — | 2 | 1 | no | — |
| 347 | D12 | — | 2 | 1 | no | — |
| 348 | C4×D3 | — | 4 | 1 | no | — |
| 349 | C4×D3 | — | 4 | 1 | no | — |
| 350 | Dic6 | — | 2 | 1 | no | — |
| 351 | Dic6 | — | 2 | 1 | no | — |
| 352 | Dic6 | — | 8 | 2 | no | — |
| 353 | C3×C8 | — | 4 | 1 | no | — |
| 354 | C3×C8 | — | 4 | 1 | no | — |
| 355 | C3×C8 | — | 4 | 1 | no | — |
| 356 | C3×C8 | — | 4 | 1 | no | — |
| 357 | C3⋊C8 | — | 2 | 2 | no | — |
| 358 | C3⋊C8 | — | 4 | 1 | no | — |
| 359 | C3⋊C8 | — | 4 | 1 | no | — |
| 360 | C3⋊C8 | #124 | 1 | 1 | yes | characteristic |
| 361 | C3⋊C8 | #124 | 1 | 1 | yes | characteristic |
| 362 | C3⋊C8 | #124 | 1 | 1 | yes | characteristic |
| 363 | C3⋊C8 | #124 | 1 | 1 | yes | characteristic |
| 364 | #41 | — | 2 | 1 | no | — |
| 365 | #41 | — | 2 | 1 | no | — |
| 366 | #41 | — | 2 | 1 | no | — |
| 367 | #41 | — | 2 | 1 | no | — |
| 368 | #41 | — | 6 | 1 | no | — |
| 369 | #41 | — | 6 | 1 | no | — |
| 370 | #41 | — | 6 | 1 | no | — |
| 371 | #41 | — | 6 | 1 | no | — |
| 372 | C2×Q8 | — | 3 | 1 | no | — |
| 373 | C2×Q8 | — | 6 | 2 | no | — |
| 374 | C2×Q8 | #237 | 1 | 1 | yes | characteristic |
| 375 | C2×D4 | — | 2 | 1 | no | — |
| 376 | C2×D4 | — | 3 | 1 | no | — |
| 377 | C2×D4 | — | 6 | 1 | no | — |
| 378 | C2×D4 | #237 | 1 | 1 | yes | characteristic |
| 379 | C22×C4 | — | 2 | 1 | no | — |
| 380 | C22×C4 | — | 6 | 1 | no | — |
| 381 | C22×C4 | — | 6 | 1 | no | — |
| 382 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 383 | Q16 | — | 6 | 2 | no | — |
| 384 | SD16 | — | 6 | 2 | no | — |
| 385 | SD16 | — | 6 | 2 | no | — |
| 386 | D8 | — | 6 | 2 | no | — |
| 387 | M16 | — | 2 | 1 | no | — |
| 388 | M16 | — | 2 | 1 | no | — |
| 389 | M16 | — | 2 | 1 | no | — |
| 390 | M16 | — | 2 | 1 | no | — |
| 391 | M16 | — | 2 | 1 | no | — |
| 392 | M16 | — | 2 | 1 | no | — |
| 393 | M16 | — | 6 | 1 | no | — |
| 394 | M16 | — | 6 | 1 | no | — |
| 395 | M16 | — | 6 | 1 | no | — |
| 396 | M16 | — | 6 | 1 | no | — |
| 397 | M16 | — | 6 | 1 | no | — |
| 398 | M16 | — | 6 | 1 | no | — |
| 399 | M16 | — | 12 | 1 | no | — |
| 400 | M16 | — | 12 | 1 | no | — |
| 401 | M16 | — | 12 | 1 | no | — |
| 402 | M16 | — | 12 | 1 | no | — |
| 403 | C2×C8 | — | 2 | 1 | no | — |
| 404 | C2×C8 | — | 2 | 1 | no | — |
| 405 | C2×C8 | — | 2 | 1 | no | — |
| 406 | C2×C8 | — | 2 | 1 | no | — |
| 407 | C2×C8 | — | 2 | 1 | no | — |
| 408 | C2×C8 | — | 2 | 1 | no | — |
| 409 | C2×C8 | — | 3 | 1 | no | — |
| 410 | C2×C8 | — | 3 | 1 | no | — |
| 411 | C2×C8 | — | 3 | 1 | no | — |
| 412 | C2×C8 | — | 3 | 1 | no | — |
| 413 | C2×C8 | — | 3 | 1 | no | — |
| 414 | C2×C8 | — | 3 | 1 | no | — |
| 415 | C2×C8 | — | 3 | 2 | no | — |
| 416 | C2×C8 | — | 6 | 1 | no | — |
| 417 | C2×C8 | — | 6 | 1 | no | — |
| 418 | C2×C8 | — | 12 | 1 | no | — |
| 419 | C2×C8 | — | 12 | 1 | no | — |
| 420 | C2×C8 | — | 12 | 1 | no | — |
| 421 | C2×C8 | — | 12 | 1 | no | — |
| 422 | C4⋊C4 | — | 2 | 1 | no | — |
| 423 | C4⋊C4 | — | 2 | 1 | no | — |
| 424 | C4⋊C4 | — | 6 | 2 | no | — |
| 425 | C4⋊C4 | — | 6 | 2 | no | — |
| 426 | C4⋊C4 | — | 6 | 2 | no | — |
| 427 | C4⋊C4 | — | 6 | 1 | no | — |
| 428 | C4⋊C4 | — | 6 | 1 | no | — |
| 429 | C22⋊C4 | — | 2 | 1 | no | — |
| 430 | C22⋊C4 | — | 2 | 1 | no | — |
| 431 | C22⋊C4 | — | 3 | 2 | no | — |
| 432 | C22⋊C4 | — | 6 | 1 | no | — |
| 433 | C42 | — | 2 | 1 | no | — |
| 434 | C42 | — | 3 | 1 | no | — |
| 435 | C42 | — | 3 | 1 | no | — |
| 436 | C42 | — | 6 | 1 | no | — |
| 437 | C42 | — | 6 | 1 | no | — |
| 438 | C42 | — | 6 | 1 | no | — |
| 439 | C42 | D3×D4 | 1 | 2 | yes | — |
| 440 | C22×C3 | — | 4 | 1 | no | — |
| 441 | C22×C3 | — | 4 | 1 | no | — |
| 442 | C22×C3 | — | 8 | 1 | no | — |
| 443 | C22×C3 | #525 | 1 | 1 | yes | characteristic |
| 444 | C22×C3 | #529 | 1 | 1 | yes | characteristic |
| 445 | C22×C3 | #529 | 1 | 1 | yes | characteristic |
| 446 | C2×D3 | — | 4 | 1 | no | — |
| 447 | C2×D3 | — | 8 | 1 | no | — |
| 448 | C3×C4 | — | 4 | 2 | no | — |
| 449 | C3×C4 | — | 4 | 1 | no | — |
| 450 | C3×C4 | — | 8 | 1 | no | — |
| 451 | C3×C4 | #525 | 1 | 1 | yes | characteristic |
| 452 | C3×C4 | C2×#124 | 1 | 1 | yes | characteristic |
| 453 | C3×C4 | #529 | 1 | 1 | yes | characteristic |
| 454 | C3×C4 | #529 | 1 | 1 | yes | characteristic |
| 455 | Dic3 | — | 4 | 1 | no | — |
| 456 | Dic3 | — | 4 | 2 | no | — |
| 457 | Dic3 | — | 4 | 1 | no | — |
| 458 | Dic3 | — | 4 | 1 | no | — |
| 459 | Dic3 | — | 8 | 1 | no | — |
| 460 | C23 | — | 2 | 1 | no | — |
| 461 | C23 | — | 6 | 1 | no | — |
| 462 | C23 | D3×#41 | 1 | 1 | yes | characteristic |
| 463 | Q8 | — | 2 | 1 | no | — |
| 464 | Q8 | — | 2 | 1 | no | — |
| 465 | Q8 | — | 6 | 1 | no | — |
| 466 | Q8 | — | 6 | 1 | no | — |
| 467 | Q8 | — | 24 | 2 | no | — |
| 468 | D4 | — | 2 | 1 | no | — |
| 469 | D4 | — | 2 | 1 | no | — |
| 470 | D4 | — | 4 | 1 | no | — |
| 471 | D4 | — | 4 | 1 | no | — |
| 472 | D4 | — | 6 | 1 | no | — |
| 473 | D4 | — | 6 | 1 | no | — |
| 474 | D4 | — | 12 | 1 | no | — |
| 475 | D4 | — | 12 | 1 | no | — |
| 476 | C2×C4 | — | 2 | 1 | no | — |
| 477 | C2×C4 | — | 2 | 2 | no | — |
| 478 | C2×C4 | — | 4 | 1 | no | — |
| 479 | C2×C4 | — | 4 | 1 | no | — |
| 480 | C2×C4 | — | 4 | 1 | no | — |
| 481 | C2×C4 | — | 6 | 1 | no | — |
| 482 | C2×C4 | — | 6 | 1 | no | — |
| 483 | C2×C4 | — | 6 | 2 | no | — |
| 484 | C2×C4 | — | 6 | 1 | no | — |
| 485 | C2×C4 | — | 12 | 1 | no | — |
| 486 | C2×C4 | — | 12 | 1 | no | — |
| 487 | C2×C4 | — | 12 | 1 | no | — |
| 488 | C2×C4 | — | 24 | 1 | no | — |
| 489 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 490 | C2×C4 | C2×#237 | 1 | 1 | yes | characteristic |
| 491 | C2×C4 | D3×#41 | 1 | 1 | yes | characteristic |
| 492 | C2×C4 | D3×#41 | 1 | 1 | yes | characteristic |
| 493 | C2×C4 | D3×#41 | 1 | 1 | yes | characteristic |
| 494 | C2×C4 | D3×#41 | 1 | 1 | yes | characteristic |
| 495 | C8 | — | 3 | 1 | no | — |
| 496 | C8 | — | 3 | 1 | no | — |
| 497 | C8 | — | 3 | 1 | no | — |
| 498 | C8 | — | 3 | 1 | no | — |
| 499 | C8 | — | 4 | 1 | no | — |
| 500 | C8 | — | 4 | 1 | no | — |
| 501 | C8 | — | 4 | 1 | no | — |
| 502 | C8 | — | 4 | 1 | no | — |
| 503 | C8 | — | 6 | 2 | no | — |
| 504 | C8 | — | 12 | 1 | no | — |
| 505 | C8 | — | 12 | 1 | no | — |
| 506 | C2×C3 | — | 2 | 1 | no | — |
| 507 | C2×C3 | — | 2 | 1 | no | — |
| 508 | C2×C3 | — | 2 | 1 | no | — |
| 509 | C2×C3 | — | 8 | 1 | no | — |
| 510 | C2×C3 | #2398 | 1 | 1 | yes | characteristic |
| 511 | D3 | — | 8 | 1 | no | — |
| 512 | C22 | — | 4 | 1 | no | — |
| 513 | C22 | — | 4 | 1 | no | — |
| 514 | C22 | — | 8 | 1 | no | — |
| 515 | C22 | — | 12 | 1 | no | — |
| 516 | C22 | — | 24 | 1 | no | — |
| 517 | C22 | #5649 | 1 | 1 | yes | characteristic |
| 518 | C22 | #5656 | 1 | 1 | yes | characteristic |
| 519 | C22 | #5706 | 1 | 1 | yes | characteristic |
| 520 | C4 | — | 4 | 2 | no | — |
| 521 | C4 | — | 4 | 1 | no | — |
| 522 | C4 | — | 8 | 1 | no | — |
| 523 | C4 | — | 12 | 1 | no | — |
| 524 | C4 | — | 12 | 1 | no | — |
| 525 | C4 | — | 12 | 2 | no | — |
| 526 | C4 | — | 12 | 1 | no | — |
| 527 | C4 | — | 24 | 1 | no | — |
| 528 | C4 | #5606 | 1 | 1 | yes | characteristic |
| 529 | C4 | #5649 | 1 | 1 | yes | characteristic |
| 530 | C4 | D3×#124 | 1 | 1 | yes | characteristic |
| 531 | C4 | #5706 | 1 | 1 | yes | characteristic |
| 532 | C3 | #23834 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 533 | C2 | — | 2 | 1 | no | — |
| 534 | C2 | — | 2 | 1 | no | — |
| 535 | C2 | — | 2 | 1 | no | — |
| 536 | C2 | — | 8 | 1 | no | — |
| 537 | C2 | — | 24 | 1 | no | — |
| 538 | C2 | #77460 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta