| 1 | #79311 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #79295 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #79263 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#1454 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #70770 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #70760 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #70753 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #68088 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #68087 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #68086 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #68085 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #68084 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #68076 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C8×Dic12 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C8×#204 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #17919 | — | 3 | 1 | no | maximal, Sylow |
| 17 | #5479 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×C4×Dic6 | C22 | 1 | 1 | yes | characteristic |
| 19 | C3×#431 | C22 | 1 | 1 | yes | characteristic |
| 20 | C3×#431 | C22 | 1 | 1 | yes | characteristic |
| 21 | C3×#431 | C22 | 1 | 1 | yes | characteristic |
| 22 | #4925 | C22 | 1 | 1 | yes | characteristic |
| 23 | #4924 | C22 | 1 | 1 | yes | characteristic |
| 24 | #4845 | C4 | 1 | 1 | yes | characteristic |
| 25 | #4845 | C4 | 1 | 1 | yes | characteristic |
| 26 | #4840 | — | 2 | 1 | no | — |
| 27 | #4839 | — | 2 | 1 | no | — |
| 28 | #4830 | — | 2 | 1 | no | — |
| 29 | #4830 | — | 2 | 1 | no | — |
| 30 | #4829 | C4 | 1 | 1 | yes | characteristic |
| 31 | #4829 | C4 | 1 | 1 | yes | characteristic |
| 32 | #4739 | C4 | 1 | 1 | yes | characteristic |
| 33 | #4738 | C4 | 1 | 1 | yes | characteristic |
| 34 | #4736 | C4 | 1 | 1 | yes | characteristic |
| 35 | #4729 | — | 2 | 1 | no | — |
| 36 | #4728 | — | 2 | 1 | no | — |
| 37 | #4721 | C4 | 1 | 1 | yes | characteristic |
| 38 | #4718 | — | 2 | 1 | no | — |
| 39 | #4718 | — | 2 | 1 | no | — |
| 40 | C4×Dic12 | C22 | 1 | 1 | yes | characteristic |
| 41 | C4×Dic12 | C22 | 1 | 1 | yes | characteristic |
| 42 | C4×#204 | C22 | 1 | 1 | yes | characteristic |
| 43 | C4×#204 | C22 | 1 | 1 | yes | characteristic |
| 44 | #4688 | C22 | 1 | 1 | yes | characteristic |
| 45 | C8×D12 | C22 | 1 | 1 | yes | characteristic |
| 46 | #4679 | C22 | 1 | 1 | yes | characteristic |
| 47 | C8×Dic6 | C22 | 1 | 1 | yes | characteristic |
| 48 | C8×Dic6 | C22 | 1 | 1 | yes | characteristic |
| 49 | C8×Dic6 | C22 | 1 | 1 | yes | characteristic |
| 50 | C8×Dic6 | C22 | 1 | 1 | yes | characteristic |
| 51 | C8×Dic6 | C22 | 1 | 1 | yes | characteristic |
| 52 | C3×#322 | C22 | 1 | 1 | yes | characteristic |
| 53 | C3×#322 | C22 | 1 | 1 | yes | characteristic |
| 54 | C3×#322 | C22 | 1 | 1 | yes | characteristic |
| 55 | C3×C82 | C22 | 1 | 1 | yes | characteristic |
| 56 | #4459 | C22 | 1 | 1 | yes | characteristic |
| 57 | #4459 | C22 | 1 | 1 | yes | characteristic |
| 58 | #4458 | C22 | 1 | 1 | yes | characteristic |
| 59 | #4458 | C22 | 1 | 1 | yes | characteristic |
| 60 | #4457 | C22 | 1 | 1 | yes | characteristic |
| 61 | #4457 | C22 | 1 | 1 | yes | characteristic |
| 62 | #4456 | C22 | 1 | 1 | yes | characteristic |
| 63 | #4456 | C22 | 1 | 1 | yes | characteristic |
| 64 | #4456 | C22 | 1 | 1 | yes | characteristic |
| 65 | #4456 | C22 | 1 | 1 | yes | characteristic |
| 66 | #4456 | C22 | 1 | 1 | yes | characteristic |
| 67 | #4456 | C22 | 1 | 1 | yes | characteristic |
| 68 | #3108 | — | 3 | 1 | no | — |
| 69 | #2993 | — | 3 | 1 | no | — |
| 70 | #2982 | — | 3 | 1 | no | — |
| 71 | #1588 | — | 3 | 1 | no | — |
| 72 | #1587 | — | 3 | 1 | no | — |
| 73 | #1584 | — | 3 | 1 | no | — |
| 74 | #1583 | — | 3 | 1 | no | — |
| 75 | #1579 | — | 3 | 1 | no | — |
| 76 | SD16⋊C8 | — | 3 | 1 | no | — |
| 77 | C8×Q16 | — | 3 | 1 | no | — |
| 78 | C8×SD16 | — | 3 | 1 | no | — |
| 79 | #1574 | — | 3 | 1 | no | — |
| 80 | #1487 | — | 3 | 1 | no | — |
| 81 | #1482 | — | 3 | 1 | no | — |
| 82 | #1454 | D3 | 1 | 1 | yes | characteristic, complemented |
| 83 | C22×Dic6 | C2×C4 | 1 | 1 | yes | characteristic |
| 84 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 85 | #930 | C2×C4 | 1 | 1 | yes | characteristic |
| 86 | #929 | — | 2 | 1 | no | — |
| 87 | C4×#67 | — | 2 | 1 | no | — |
| 88 | C2×C4⋊Dic3 | C2×C4 | 1 | 1 | yes | characteristic |
| 89 | #924 | C2×C4 | 1 | 1 | yes | characteristic |
| 90 | C2×Dic3⋊C4 | — | 2 | 1 | no | — |
| 91 | C2×C4×Dic3 | — | 2 | 1 | no | — |
| 92 | C2×#208 | — | 2 | 1 | no | — |
| 93 | C2×Dic12 | C2×C4 | 1 | 1 | yes | characteristic |
| 94 | C2×Dic12 | C2×C4 | 1 | 1 | yes | characteristic |
| 95 | C2×#204 | C2×C4 | 1 | 1 | yes | characteristic |
| 96 | C2×#204 | C2×C4 | 1 | 1 | yes | characteristic |
| 97 | C2×ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 98 | C2×D3×C8 | — | 2 | 1 | no | — |
| 99 | #876 | — | 2 | 1 | no | — |
| 100 | #875 | C2×C4 | 1 | 1 | yes | characteristic |
| 101 | C4×D12 | C23 | 1 | 1 | yes | characteristic |
| 102 | #872 | — | 2 | 1 | no | — |
| 103 | #870 | C2×C4 | 1 | 1 | yes | characteristic |
| 104 | C4×Dic6 | — | 2 | 1 | no | — |
| 105 | C4×Dic6 | — | 2 | 1 | no | — |
| 106 | C4×Dic6 | C2×C4 | 1 | 1 | yes | characteristic |
| 107 | C4×Dic6 | C2×C4 | 1 | 1 | yes | characteristic |
| 108 | C4×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 109 | C4×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 110 | C4×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 111 | C3×C4⋊C8 | — | 2 | 1 | no | — |
| 112 | C3×C4⋊C8 | C2×C4 | 1 | 1 | yes | characteristic |
| 113 | C3×C4⋊C8 | C2×C4 | 1 | 1 | yes | characteristic |
| 114 | C3×C4⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 115 | C3×C4⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 116 | C3×C22⋊C8 | — | 2 | 1 | no | — |
| 117 | C3×C22⋊C8 | C2×C4 | 1 | 1 | yes | characteristic |
| 118 | C3×C22⋊C8 | C2×C4 | 1 | 1 | yes | characteristic |
| 119 | C3×C22⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 120 | C3×C22⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 121 | C3×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 122 | C3×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 123 | C3×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 124 | C3×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 125 | C3×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 126 | C3×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 127 | #830 | — | 2 | 1 | no | — |
| 128 | #821 | C2×C4 | 1 | 1 | yes | characteristic |
| 129 | #821 | C2×C4 | 1 | 1 | yes | characteristic |
| 130 | (C2×D3)⋊C8 | — | 2 | 1 | no | — |
| 131 | (C2×D3)⋊C8 | — | 2 | 1 | no | — |
| 132 | #818 | C2×C4 | 1 | 1 | yes | characteristic |
| 133 | #818 | C2×C4 | 1 | 1 | yes | characteristic |
| 134 | #817 | C2×C4 | 1 | 1 | yes | characteristic |
| 135 | #817 | C2×C4 | 1 | 1 | yes | characteristic |
| 136 | #816 | C2×C4 | 1 | 1 | yes | characteristic |
| 137 | #816 | C2×C4 | 1 | 1 | yes | characteristic |
| 138 | #816 | C2×C4 | 1 | 1 | yes | characteristic |
| 139 | #816 | C2×C4 | 1 | 1 | yes | characteristic |
| 140 | #816 | C2×C4 | 1 | 1 | yes | characteristic |
| 141 | #816 | C2×C4 | 1 | 1 | yes | characteristic |
| 142 | #815 | — | 2 | 1 | no | — |
| 143 | Dic3⋊C8 | — | 2 | 1 | no | — |
| 144 | Dic3⋊C8 | — | 2 | 1 | no | — |
| 145 | Dic3⋊C8 | — | 2 | 1 | no | — |
| 146 | Dic3⋊C8 | — | 2 | 1 | no | — |
| 147 | Dic3⋊C8 | — | 2 | 1 | no | — |
| 148 | Dic3⋊C8 | — | 2 | 1 | no | — |
| 149 | C8×Dic3 | — | 2 | 1 | no | — |
| 150 | C8×Dic3 | — | 2 | 1 | no | — |
| 151 | C8×Dic3 | — | 2 | 1 | no | — |
| 152 | C8×Dic3 | — | 2 | 1 | no | — |
| 153 | C8×Dic3 | — | 2 | 1 | no | — |
| 154 | C4⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 155 | C4⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 156 | C4⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 157 | C4⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 158 | C4⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 159 | C4×C3⋊C8 | — | 2 | 1 | no | — |
| 160 | #529 | — | 3 | 1 | no | — |
| 161 | C2×C4×Q8 | — | 3 | 1 | no | — |
| 162 | #483 | — | 3 | 1 | no | — |
| 163 | #480 | — | 3 | 1 | no | — |
| 164 | #479 | — | 3 | 1 | no | — |
| 165 | #479 | — | 3 | 1 | no | — |
| 166 | #464 | — | 3 | 1 | no | — |
| 167 | #464 | — | 3 | 1 | no | — |
| 168 | #451 | — | 3 | 1 | no | — |
| 169 | #448 | — | 3 | 1 | no | — |
| 170 | #446 | — | 3 | 1 | no | — |
| 171 | C8×Q8 | — | 3 | 1 | no | — |
| 172 | C8×Q8 | — | 3 | 1 | no | — |
| 173 | C8×Q8 | — | 3 | 1 | no | — |
| 174 | C8×Q8 | — | 3 | 1 | no | — |
| 175 | C8×Q8 | — | 3 | 1 | no | — |
| 176 | C8×Q8 | — | 6 | 1 | no | — |
| 177 | C8×Q8 | — | 6 | 1 | no | — |
| 178 | C4×Q16 | — | 3 | 1 | no | — |
| 179 | C4×Q16 | — | 3 | 1 | no | — |
| 180 | C4×SD16 | — | 3 | 1 | no | — |
| 181 | C4×SD16 | — | 3 | 1 | no | — |
| 182 | #436 | — | 3 | 1 | no | — |
| 183 | #436 | — | 6 | 1 | no | — |
| 184 | #435 | — | 6 | 1 | no | — |
| 185 | C8×D4 | — | 3 | 1 | no | — |
| 186 | #433 | — | 6 | 1 | no | — |
| 187 | #431 | — | 3 | 1 | no | — |
| 188 | #431 | — | 6 | 1 | no | — |
| 189 | #431 | — | 6 | 1 | no | — |
| 190 | #431 | C2×D3 | 1 | 1 | yes | characteristic |
| 191 | #431 | C2×D3 | 1 | 1 | yes | characteristic |
| 192 | #431 | C2×D3 | 1 | 1 | yes | characteristic |
| 193 | #424 | — | 6 | 1 | no | — |
| 194 | #423 | — | 3 | 1 | no | — |
| 195 | #335 | — | 3 | 1 | no | — |
| 196 | #335 | — | 3 | 1 | no | — |
| 197 | #334 | — | 3 | 1 | no | — |
| 198 | #334 | — | 3 | 1 | no | — |
| 199 | Q8⋊C8 | — | 3 | 1 | no | — |
| 200 | Q8⋊C8 | — | 3 | 1 | no | — |
| 201 | Q8⋊C8 | — | 3 | 1 | no | — |
| 202 | Q8⋊C8 | — | 3 | 1 | no | — |
| 203 | Q8⋊C8 | — | 3 | 1 | no | — |
| 204 | Q8⋊C8 | — | 3 | 1 | no | — |
| 205 | D4⋊C8 | — | 3 | 1 | no | — |
| 206 | D4⋊C8 | — | 3 | 1 | no | — |
| 207 | #322 | C2×D3 | 1 | 1 | yes | characteristic |
| 208 | #322 | C2×D3 | 1 | 1 | yes | characteristic |
| 209 | #322 | C2×D3 | 1 | 1 | yes | characteristic |
| 210 | C82 | C2×D3 | 1 | 1 | yes | characteristic |
| 211 | C22×C3×C4 | C22×C4 | 1 | 1 | yes | characteristic |
| 212 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 213 | C22×C3×C4 | #41 | 1 | 1 | yes | characteristic |
| 214 | C2×#67 | — | 2 | 1 | no | — |
| 215 | C22×Dic3 | — | 2 | 1 | no | — |
| 216 | C22×Dic3 | — | 2 | 1 | no | — |
| 217 | C2×D12 | C22×C4 | 1 | 1 | yes | characteristic |
| 218 | C2×C4×D3 | — | 2 | 1 | no | — |
| 219 | C2×Dic6 | — | 2 | 1 | no | — |
| 220 | C2×Dic6 | — | 2 | 2 | no | — |
| 221 | C2×Dic6 | — | 2 | 2 | no | — |
| 222 | C2×Dic6 | C22×C4 | 1 | 1 | yes | characteristic |
| 223 | C2×Dic6 | C22×C4 | 1 | 1 | yes | characteristic |
| 224 | C2×Dic6 | C22×C4 | 1 | 1 | yes | characteristic |
| 225 | C2×C3×C8 | — | 2 | 1 | no | — |
| 226 | C2×C3×C8 | — | 2 | 1 | no | — |
| 227 | C2×C3×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 228 | C2×C3×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 229 | C2×C3×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 230 | C2×C3×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 231 | C2×C3×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 232 | C2×C3×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 233 | C2×C3×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 234 | C2×C3×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 235 | C3×C42 | C22×C4 | 1 | 1 | yes | characteristic |
| 236 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 237 | C3×C42 | #41 | 1 | 1 | yes | characteristic |
| 238 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 239 | #217 | — | 2 | 1 | no | — |
| 240 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 241 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 242 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 243 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 244 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 245 | C4⋊Dic3 | C22×C4 | 1 | 1 | yes | characteristic |
| 246 | C4⋊Dic3 | C22×C4 | 1 | 1 | yes | characteristic |
| 247 | C4⋊Dic3 | C22×C4 | 1 | 1 | yes | characteristic |
| 248 | C4⋊Dic3 | C22×C4 | 1 | 1 | yes | characteristic |
| 249 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 250 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 251 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 252 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 253 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 254 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 255 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 256 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 257 | C4×Dic3 | — | 2 | 1 | no | — |
| 258 | C4×Dic3 | — | 2 | 1 | no | — |
| 259 | C4×Dic3 | — | 2 | 1 | no | — |
| 260 | C4×Dic3 | — | 2 | 1 | no | — |
| 261 | C4×Dic3 | — | 2 | 1 | no | — |
| 262 | #208 | — | 8 | 1 | no | — |
| 263 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 264 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 265 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 266 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 267 | Dic12 | — | 2 | 2 | no | — |
| 268 | Dic12 | — | 2 | 2 | no | — |
| 269 | #204 | — | 2 | 2 | no | — |
| 270 | #204 | — | 2 | 2 | no | — |
| 271 | ΓL(1,𝔽25) | — | 8 | 1 | no | — |
| 272 | D3×C8 | — | 8 | 1 | no | — |
| 273 | C22×Q8 | — | 3 | 1 | no | — |
| 274 | C2×Q16 | — | 3 | 1 | no | — |
| 275 | C2×Q16 | — | 3 | 1 | no | — |
| 276 | C2×SD16 | — | 3 | 1 | no | — |
| 277 | C2×SD16 | — | 3 | 1 | no | — |
| 278 | C2×M16 | — | 6 | 1 | no | — |
| 279 | C2×M16 | — | 6 | 1 | no | — |
| 280 | C22×C8 | — | 6 | 1 | no | — |
| 281 | #126 | — | 6 | 1 | no | — |
| 282 | #125 | — | 3 | 1 | no | — |
| 283 | #124 | — | 3 | 1 | no | — |
| 284 | #123 | — | 6 | 1 | no | — |
| 285 | C22⋊Q8 | — | 3 | 1 | no | — |
| 286 | #121 | — | 3 | 1 | no | — |
| 287 | C4×Q8 | — | 3 | 1 | no | — |
| 288 | C4×Q8 | — | 3 | 1 | no | — |
| 289 | C4×Q8 | — | 3 | 1 | no | — |
| 290 | C4×Q8 | — | 3 | 1 | no | — |
| 291 | C4×Q8 | — | 3 | 1 | no | — |
| 292 | C4×Q8 | — | 6 | 1 | no | — |
| 293 | C4×Q8 | — | 6 | 1 | no | — |
| 294 | C4×D4 | — | 3 | 1 | no | — |
| 295 | C4×D4 | — | 6 | 1 | no | — |
| 296 | #117 | — | 6 | 1 | no | — |
| 297 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 298 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 299 | C2×C42 | — | 6 | 1 | no | — |
| 300 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 301 | #107 | — | 3 | 1 | no | — |
| 302 | #107 | — | 3 | 1 | no | — |
| 303 | #106 | — | 3 | 1 | no | — |
| 304 | #106 | — | 3 | 1 | no | — |
| 305 | C4⋊C8 | — | 2 | 1 | no | — |
| 306 | C4⋊C8 | — | 3 | 1 | no | — |
| 307 | C4⋊C8 | — | 3 | 1 | no | — |
| 308 | C4⋊C8 | — | 3 | 1 | no | — |
| 309 | C4⋊C8 | — | 3 | 1 | no | — |
| 310 | C4⋊C8 | — | 6 | 1 | no | — |
| 311 | C4⋊C8 | — | 6 | 1 | no | — |
| 312 | C4⋊C8 | — | 6 | 1 | no | — |
| 313 | C4⋊C8 | — | 6 | 1 | no | — |
| 314 | C4⋊C8 | — | 6 | 1 | no | — |
| 315 | C4⋊C8 | — | 6 | 1 | no | — |
| 316 | C4⋊C8 | — | 6 | 1 | no | — |
| 317 | C4⋊C8 | C4×D3 | 1 | 1 | yes | characteristic |
| 318 | C4⋊C8 | C4×D3 | 1 | 1 | yes | characteristic |
| 319 | C4⋊C8 | D12 | 1 | 1 | yes | characteristic |
| 320 | C4⋊C8 | D12 | 1 | 1 | yes | characteristic |
| 321 | #103 | — | 3 | 1 | no | — |
| 322 | #103 | — | 3 | 1 | no | — |
| 323 | #103 | — | 3 | 1 | no | — |
| 324 | #103 | — | 3 | 1 | no | — |
| 325 | #103 | — | 3 | 1 | no | — |
| 326 | #103 | — | 3 | 1 | no | — |
| 327 | #102 | — | 3 | 1 | no | — |
| 328 | #102 | — | 3 | 1 | no | — |
| 329 | C22⋊C8 | — | 2 | 1 | no | — |
| 330 | C22⋊C8 | — | 6 | 1 | no | — |
| 331 | C22⋊C8 | — | 6 | 1 | no | — |
| 332 | C22⋊C8 | — | 6 | 1 | no | — |
| 333 | C22⋊C8 | C4×D3 | 1 | 1 | yes | characteristic |
| 334 | C22⋊C8 | C4×D3 | 1 | 1 | yes | characteristic |
| 335 | C22⋊C8 | D12 | 1 | 1 | yes | characteristic |
| 336 | C22⋊C8 | D12 | 1 | 1 | yes | characteristic |
| 337 | #97 | — | 6 | 1 | no | — |
| 338 | C4×C8 | — | 6 | 1 | no | — |
| 339 | C4×C8 | — | 6 | 1 | no | — |
| 340 | C4×C8 | — | 6 | 1 | no | — |
| 341 | C4×C8 | — | 6 | 1 | no | — |
| 342 | C4×C8 | — | 6 | 1 | no | — |
| 343 | C4×C8 | — | 6 | 1 | no | — |
| 344 | C4×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 345 | C4×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 346 | C4×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 347 | C4×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 348 | C4×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 349 | C4×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 350 | C23×C3 | C4×D4 | 1 | 1 | yes | characteristic |
| 351 | C22×D3 | — | 2 | 1 | no | — |
| 352 | C2×C3×C4 | — | 2 | 1 | no | — |
| 353 | C2×C3×C4 | — | 2 | 1 | no | — |
| 354 | C2×C3×C4 | — | 2 | 1 | no | — |
| 355 | C2×C3×C4 | — | 2 | 1 | no | — |
| 356 | C2×C3×C4 | — | 4 | 1 | no | — |
| 357 | C2×C3×C4 | C4×D4 | 1 | 1 | yes | characteristic |
| 358 | C2×C3×C4 | C4×D4 | 1 | 1 | yes | characteristic |
| 359 | C2×C3×C4 | C4×D4 | 1 | 1 | yes | characteristic |
| 360 | C2×C3×C4 | C23×C4 | 1 | 1 | yes | characteristic |
| 361 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 362 | C2×C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 363 | #67 | — | 8 | 1 | no | — |
| 364 | C2×Dic3 | — | 2 | 4 | no | — |
| 365 | C2×Dic3 | — | 2 | 1 | no | — |
| 366 | C2×Dic3 | — | 2 | 1 | no | — |
| 367 | C2×Dic3 | — | 2 | 1 | no | — |
| 368 | C2×Dic3 | — | 2 | 1 | no | — |
| 369 | C2×Dic3 | — | 2 | 1 | no | — |
| 370 | C2×Dic3 | — | 2 | 1 | no | — |
| 371 | C2×Dic3 | — | 2 | 1 | no | — |
| 372 | C2×Dic3 | — | 8 | 1 | no | — |
| 373 | D12 | — | 2 | 1 | no | — |
| 374 | D12 | — | 2 | 1 | no | — |
| 375 | C4×D3 | — | 4 | 1 | no | — |
| 376 | C4×D3 | — | 4 | 1 | no | — |
| 377 | Dic6 | — | 2 | 4 | no | — |
| 378 | Dic6 | — | 2 | 1 | no | — |
| 379 | Dic6 | — | 2 | 1 | no | — |
| 380 | Dic6 | — | 2 | 1 | no | — |
| 381 | Dic6 | — | 2 | 1 | no | — |
| 382 | Dic6 | #131 | 1 | 2 | yes | — |
| 383 | Dic6 | #131 | 1 | 2 | yes | — |
| 384 | C3×C8 | — | 2 | 1 | no | — |
| 385 | C3×C8 | — | 2 | 1 | no | — |
| 386 | C3×C8 | — | 2 | 1 | no | — |
| 387 | C3×C8 | — | 2 | 1 | no | — |
| 388 | C3×C8 | — | 2 | 1 | no | — |
| 389 | C3×C8 | — | 2 | 1 | no | — |
| 390 | C3×C8 | — | 2 | 1 | no | — |
| 391 | C3×C8 | — | 2 | 1 | no | — |
| 392 | C3×C8 | — | 4 | 1 | no | — |
| 393 | C3×C8 | — | 4 | 1 | no | — |
| 394 | C3⋊C8 | — | 4 | 1 | no | — |
| 395 | C3⋊C8 | — | 4 | 1 | no | — |
| 396 | C3⋊C8 | — | 4 | 1 | no | — |
| 397 | C3⋊C8 | — | 4 | 1 | no | — |
| 398 | C2×Q8 | — | 3 | 1 | no | — |
| 399 | C2×Q8 | — | 3 | 1 | no | — |
| 400 | C2×Q8 | — | 3 | 1 | no | — |
| 401 | C2×Q8 | — | 6 | 2 | no | — |
| 402 | C2×Q8 | — | 6 | 2 | no | — |
| 403 | C2×Q8 | — | 6 | 1 | no | — |
| 404 | C2×D4 | — | 3 | 1 | no | — |
| 405 | C2×D4 | — | 6 | 1 | no | — |
| 406 | C22×C4 | — | 6 | 1 | no | — |
| 407 | C22×C4 | — | 6 | 1 | no | — |
| 408 | C22×C4 | — | 6 | 1 | no | — |
| 409 | C22×C4 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 410 | C22×C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 411 | C22×C4 | #235 | 1 | 1 | yes | characteristic |
| 412 | Q16 | — | 6 | 2 | no | — |
| 413 | Q16 | — | 6 | 2 | no | — |
| 414 | SD16 | — | 6 | 2 | no | — |
| 415 | SD16 | — | 6 | 2 | no | — |
| 416 | M16 | — | 24 | 1 | no | — |
| 417 | M16 | — | 24 | 1 | no | — |
| 418 | C2×C8 | — | 2 | 1 | no | — |
| 419 | C2×C8 | — | 2 | 1 | no | — |
| 420 | C2×C8 | — | 6 | 1 | no | — |
| 421 | C2×C8 | — | 6 | 1 | no | — |
| 422 | C2×C8 | — | 6 | 1 | no | — |
| 423 | C2×C8 | — | 6 | 1 | no | — |
| 424 | C2×C8 | — | 24 | 1 | no | — |
| 425 | C2×C8 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 426 | C2×C8 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 427 | C2×C8 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 428 | C2×C8 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 429 | C2×C8 | C2×D12 | 1 | 1 | yes | characteristic |
| 430 | C2×C8 | C2×D12 | 1 | 1 | yes | characteristic |
| 431 | C2×C8 | C2×D12 | 1 | 1 | yes | characteristic |
| 432 | C2×C8 | C2×D12 | 1 | 1 | yes | characteristic |
| 433 | C4⋊C4 | — | 3 | 1 | no | — |
| 434 | C4⋊C4 | — | 3 | 1 | no | — |
| 435 | C4⋊C4 | — | 3 | 1 | no | — |
| 436 | C4⋊C4 | — | 3 | 1 | no | — |
| 437 | C4⋊C4 | — | 6 | 1 | no | — |
| 438 | C4⋊C4 | — | 6 | 1 | no | — |
| 439 | C4⋊C4 | — | 6 | 1 | no | — |
| 440 | C4⋊C4 | — | 6 | 1 | no | — |
| 441 | C4⋊C4 | — | 6 | 1 | no | — |
| 442 | C4⋊C4 | — | 6 | 1 | no | — |
| 443 | C4⋊C4 | — | 6 | 1 | no | — |
| 444 | C4⋊C4 | — | 6 | 1 | no | — |
| 445 | C4⋊C4 | — | 6 | 1 | no | — |
| 446 | C22⋊C4 | — | 6 | 1 | no | — |
| 447 | C22⋊C4 | — | 6 | 1 | no | — |
| 448 | C22⋊C4 | — | 6 | 1 | no | — |
| 449 | C22⋊C4 | — | 6 | 1 | no | — |
| 450 | C22⋊C4 | — | 6 | 1 | no | — |
| 451 | C42 | — | 6 | 1 | no | — |
| 452 | C42 | — | 6 | 1 | no | — |
| 453 | C42 | — | 6 | 1 | no | — |
| 454 | C42 | — | 6 | 1 | no | — |
| 455 | C42 | — | 6 | 1 | no | — |
| 456 | C42 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 457 | C42 | C2×D12 | 1 | 1 | yes | characteristic |
| 458 | C42 | #235 | 1 | 1 | yes | characteristic |
| 459 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 460 | C22×C3 | — | 2 | 1 | no | — |
| 461 | C22×C3 | — | 2 | 1 | no | — |
| 462 | C22×C3 | — | 2 | 1 | no | — |
| 463 | C22×C3 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 464 | C2×D3 | — | 4 | 1 | no | — |
| 465 | C2×D3 | — | 4 | 1 | no | — |
| 466 | C2×D3 | — | 4 | 1 | no | — |
| 467 | C3×C4 | — | 2 | 1 | no | — |
| 468 | C3×C4 | — | 2 | 1 | no | — |
| 469 | C3×C4 | — | 2 | 1 | no | — |
| 470 | C3×C4 | — | 2 | 1 | no | — |
| 471 | C3×C4 | C2×#131 | 1 | 1 | yes | characteristic |
| 472 | C3×C4 | C2×#131 | 1 | 1 | yes | characteristic |
| 473 | C3×C4 | #577 | 1 | 1 | yes | characteristic |
| 474 | C3×C4 | #578 | 1 | 1 | yes | characteristic |
| 475 | Dic3 | — | 2 | 2 | no | — |
| 476 | Dic3 | — | 2 | 2 | no | — |
| 477 | Dic3 | — | 4 | 1 | no | — |
| 478 | Dic3 | — | 4 | 1 | no | — |
| 479 | Dic3 | — | 4 | 1 | no | — |
| 480 | Dic3 | — | 4 | 1 | no | — |
| 481 | Dic3 | — | 4 | 1 | no | — |
| 482 | C23 | — | 6 | 1 | no | — |
| 483 | C23 | C4×D12 | 1 | 1 | yes | characteristic |
| 484 | Q8 | — | 3 | 2 | no | — |
| 485 | Q8 | — | 3 | 2 | no | — |
| 486 | Q8 | — | 6 | 4 | no | — |
| 487 | Q8 | — | 6 | 1 | no | — |
| 488 | Q8 | — | 6 | 1 | no | — |
| 489 | Q8 | — | 6 | 1 | no | — |
| 490 | Q8 | — | 6 | 1 | no | — |
| 491 | D4 | — | 6 | 1 | no | — |
| 492 | D4 | — | 6 | 1 | no | — |
| 493 | D4 | — | 24 | 1 | no | — |
| 494 | C2×C4 | — | 2 | 1 | no | — |
| 495 | C2×C4 | — | 2 | 1 | no | — |
| 496 | C2×C4 | — | 2 | 1 | no | — |
| 497 | C2×C4 | — | 2 | 1 | no | — |
| 498 | C2×C4 | — | 4 | 1 | no | — |
| 499 | C2×C4 | — | 6 | 4 | no | — |
| 500 | C2×C4 | — | 6 | 1 | no | — |
| 501 | C2×C4 | — | 6 | 1 | no | — |
| 502 | C2×C4 | — | 6 | 1 | no | — |
| 503 | C2×C4 | — | 6 | 1 | no | — |
| 504 | C2×C4 | — | 6 | 1 | no | — |
| 505 | C2×C4 | — | 6 | 1 | no | — |
| 506 | C2×C4 | — | 6 | 1 | no | — |
| 507 | C2×C4 | — | 12 | 1 | no | — |
| 508 | C2×C4 | — | 12 | 1 | no | — |
| 509 | C2×C4 | — | 24 | 1 | no | — |
| 510 | C2×C4 | C4×D12 | 1 | 1 | yes | characteristic |
| 511 | C2×C4 | C4×D12 | 1 | 1 | yes | characteristic |
| 512 | C2×C4 | C4×D12 | 1 | 1 | yes | characteristic |
| 513 | C2×C4 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 514 | C2×C4 | C22×D12 | 1 | 1 | yes | characteristic |
| 515 | C2×C4 | C2×#235 | 1 | 1 | yes | characteristic |
| 516 | C8 | — | 2 | 1 | no | — |
| 517 | C8 | — | 2 | 1 | no | — |
| 518 | C8 | — | 2 | 1 | no | — |
| 519 | C8 | — | 2 | 1 | no | — |
| 520 | C8 | — | 2 | 1 | no | — |
| 521 | C8 | — | 2 | 1 | no | — |
| 522 | C8 | — | 2 | 1 | no | — |
| 523 | C8 | — | 2 | 1 | no | — |
| 524 | C8 | — | 4 | 1 | no | — |
| 525 | C8 | — | 4 | 1 | no | — |
| 526 | C8 | — | 12 | 1 | no | — |
| 527 | C8 | — | 12 | 1 | no | — |
| 528 | C8 | — | 12 | 1 | no | — |
| 529 | C8 | — | 12 | 1 | no | — |
| 530 | C2×C3 | — | 4 | 1 | no | — |
| 531 | C2×C3 | #2929 | 1 | 1 | yes | characteristic |
| 532 | C2×C3 | #2947 | 1 | 1 | yes | characteristic |
| 533 | C2×C3 | #2957 | 1 | 1 | yes | characteristic |
| 534 | D3 | — | 8 | 1 | no | — |
| 535 | C22 | — | 2 | 1 | no | — |
| 536 | C22 | — | 2 | 1 | no | — |
| 537 | C22 | — | 2 | 1 | no | — |
| 538 | C22 | — | 12 | 1 | no | — |
| 539 | C22 | — | 12 | 1 | no | — |
| 540 | C22 | — | 12 | 1 | no | — |
| 541 | C22 | C2×C4×D12 | 1 | 1 | yes | characteristic |
| 542 | C4 | — | 2 | 1 | no | — |
| 543 | C4 | — | 2 | 1 | no | — |
| 544 | C4 | — | 2 | 1 | no | — |
| 545 | C4 | — | 2 | 1 | no | — |
| 546 | C4 | — | 6 | 2 | no | — |
| 547 | C4 | — | 6 | 2 | no | — |
| 548 | C4 | — | 12 | 1 | no | — |
| 549 | C4 | — | 12 | 1 | no | — |
| 550 | C4 | — | 12 | 1 | no | — |
| 551 | C4 | — | 12 | 1 | no | — |
| 552 | C4 | — | 12 | 1 | no | — |
| 553 | C4 | D3×#131 | 1 | 1 | yes | characteristic |
| 554 | C4 | D3×#131 | 1 | 1 | yes | characteristic |
| 555 | C4 | #5751 | 1 | 1 | yes | characteristic |
| 556 | C4 | #5753 | 1 | 1 | yes | characteristic |
| 557 | C3 | #17919 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 558 | C2 | — | 4 | 1 | no | — |
| 559 | C2 | — | 24 | 1 | no | — |
| 560 | C2 | #78553 | 1 | 1 | yes | characteristic |
| 561 | C2 | #78571 | 1 | 1 | yes | characteristic |
| 562 | C2 | #78580 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta