| 1 | C5×#5748 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | Dic5×#235 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11748625 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11748425 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#90979 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11746380 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C3×#64775 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10602907 | — | 3 | 1 | no | maximal, Hall |
| 9 | C2×C5×#235 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×C5×#235 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×C3×C5×M16 | C22 | 1 | 1 | yes | characteristic |
| 12 | #91815 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×#6710 | C22 | 1 | 1 | yes | characteristic |
| 14 | C5×#909 | — | 2 | 1 | no | — |
| 15 | C5×#909 | C4 | 1 | 2 | yes | complemented |
| 16 | C5×#908 | — | 2 | 1 | no | — |
| 17 | C5×#908 | C4 | 1 | 2 | yes | complemented |
| 18 | C5×#904 | — | 2 | 2 | no | — |
| 19 | C3×#4072 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×C3×C4×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 21 | Dic5×#67 | — | 2 | 2 | no | — |
| 22 | Dic5×D12 | — | 2 | 1 | no | — |
| 23 | C4×D3×Dic5 | — | 2 | 1 | no | — |
| 24 | #91371 | — | 2 | 1 | no | — |
| 25 | Dic5×Dic6 | — | 2 | 1 | no | — |
| 26 | #90996 | — | 2 | 2 | no | — |
| 27 | #90979 | — | 2 | 2 | no | — |
| 28 | #90979 | — | 2 | 1 | no | — |
| 29 | #90979 | — | 2 | 1 | no | — |
| 30 | #68778 | — | 5 | 1 | no | maximal, Hall |
| 31 | C5×#575 | — | 3 | 1 | no | — |
| 32 | #41×Dic5 | — | 3 | 1 | no | — |
| 33 | #65529 | — | 3 | 1 | no | — |
| 34 | #65525 | — | 3 | 1 | no | — |
| 35 | C2×#3969 | — | 3 | 1 | no | — |
| 36 | #64779 | — | 3 | 1 | no | — |
| 37 | #64775 | D3 | 1 | 1 | yes | characteristic, complemented |
| 38 | C22×C3×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 39 | C2×C5×#67 | — | 2 | 1 | no | — |
| 40 | C2×C5×#67 | — | 2 | 1 | no | — |
| 41 | C5×#235 | — | 2 | 1 | no | — |
| 42 | C5×#235 | — | 2 | 1 | no | — |
| 43 | C5×#235 | — | 2 | 1 | no | — |
| 44 | C5×#235 | — | 2 | 1 | no | — |
| 45 | C5×#235 | — | 2 | 1 | no | — |
| 46 | C5×#235 | — | 2 | 1 | no | — |
| 47 | C5×#235 | C2×C4 | 1 | 2 | yes | — |
| 48 | C5×#235 | D4 | 1 | 2 | yes | — |
| 49 | C2×C5×D12 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 50 | C2×C5×D12 | D4 | 1 | 1 | yes | characteristic |
| 51 | C2×C4×C5×D3 | — | 2 | 1 | no | — |
| 52 | C2×C4×C5×D3 | — | 2 | 1 | no | — |
| 53 | C2×C5×Dic6 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 54 | C2×C5×Dic6 | D4 | 1 | 1 | yes | characteristic |
| 55 | C22×C3×Dic5 | — | 2 | 1 | no | — |
| 56 | C2×D3×Dic5 | — | 2 | 2 | no | — |
| 57 | C3×C5×M16 | — | 2 | 1 | no | — |
| 58 | C3×C5×M16 | C2×C4 | 1 | 2 | yes | complemented |
| 59 | C2×C3×C5×C8 | — | 2 | 1 | no | — |
| 60 | #6719 | D4 | 1 | 2 | yes | — |
| 61 | C4⋊Dic15 | — | 2 | 1 | no | — |
| 62 | C4×Dic15 | — | 2 | 1 | no | — |
| 63 | #6710 | — | 2 | 1 | no | — |
| 64 | #6710 | — | 2 | 1 | no | — |
| 65 | C2×C3⋊#168 | — | 2 | 1 | no | — |
| 66 | C5×Dic12 | — | 2 | 2 | no | — |
| 67 | C5×D24 | — | 2 | 2 | no | — |
| 68 | C5×#204 | — | 2 | 2 | no | — |
| 69 | C5×#204 | — | 2 | 2 | no | — |
| 70 | C3×C22⋊Dic5 | — | 2 | 1 | no | — |
| 71 | C3×C4⋊Dic5 | — | 2 | 1 | no | — |
| 72 | C3×C4×Dic5 | — | 2 | 1 | no | — |
| 73 | C3×C4×Dic5 | — | 2 | 1 | no | — |
| 74 | C3×C4×Dic5 | D4 | 1 | 1 | yes | characteristic |
| 75 | C3×C4×Dic5 | D4 | 1 | 1 | yes | characteristic |
| 76 | Dic3⋊Dic5 | — | 2 | 2 | no | — |
| 77 | (C2×D3)⋊Dic5 | — | 2 | 2 | no | — |
| 78 | Dic3×Dic5 | — | 2 | 2 | no | — |
| 79 | #5748 | D5 | 1 | 1 | yes | characteristic |
| 80 | C4×#235 | — | 5 | 1 | no | — |
| 81 | #5006 | — | 5 | 1 | no | — |
| 82 | #5005 | — | 5 | 1 | no | — |
| 83 | C2×#805 | — | 5 | 1 | no | — |
| 84 | C3×#339 | — | 5 | 1 | no | — |
| 85 | #4559 | — | 5 | 1 | no | — |
| 86 | C2×C5×#41 | — | 3 | 1 | no | — |
| 87 | C2×C5×#41 | — | 3 | 1 | no | — |
| 88 | C5×#137 | — | 3 | 2 | no | — |
| 89 | C5×#137 | — | 6 | 1 | no | — |
| 90 | C5×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 91 | C5×AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 92 | C5×#135 | — | 6 | 2 | no | — |
| 93 | C2×C5×M16 | C2×D3 | 1 | 1 | yes | characteristic |
| 94 | Q8×Dic5 | — | 6 | 1 | no | — |
| 95 | D4×Dic5 | — | 6 | 1 | no | — |
| 96 | D4×Dic5 | — | 6 | 2 | no | — |
| 97 | #4072 | — | 3 | 1 | no | — |
| 98 | #4072 | — | 6 | 1 | no | — |
| 99 | #4072 | C2×D3 | 1 | 1 | yes | characteristic |
| 100 | C2×C4×Dic5 | — | 6 | 1 | no | — |
| 101 | C2×C4×Dic5 | C2×D3 | 1 | 1 | yes | characteristic |
| 102 | C2×#681 | — | 3 | 1 | no | — |
| 103 | #3969 | — | 6 | 2 | no | — |
| 104 | #3969 | — | 6 | 1 | no | — |
| 105 | #3969 | — | 6 | 1 | no | — |
| 106 | #3966 | — | 6 | 2 | no | — |
| 107 | #1906 | — | 15 | 1 | no | Sylow |
| 108 | C23×C3×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 109 | C22×C5×D3 | — | 2 | 1 | no | — |
| 110 | C22×C5×D3 | — | 2 | 1 | no | — |
| 111 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 112 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 113 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 114 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 115 | C2×C3×C4×C5 | #41 | 1 | 1 | yes | characteristic |
| 116 | C2×C3×C4×C5 | #41 | 1 | 1 | yes | characteristic |
| 117 | C2×Dic15 | — | 2 | 2 | no | — |
| 118 | C5×#67 | — | 2 | 2 | no | — |
| 119 | C5×#67 | — | 2 | 2 | no | — |
| 120 | C5×#67 | — | 4 | 1 | no | — |
| 121 | C5×#67 | — | 4 | 1 | no | — |
| 122 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 123 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 124 | C5×D12 | — | 2 | 1 | no | — |
| 125 | C5×D12 | — | 2 | 1 | no | — |
| 126 | C5×D12 | — | 2 | 1 | no | — |
| 127 | C5×D12 | C22⋊C4 | 1 | 2 | yes | — |
| 128 | C4×C5×D3 | — | 2 | 2 | no | — |
| 129 | C4×C5×D3 | — | 2 | 2 | no | — |
| 130 | C4×C5×D3 | — | 4 | 1 | no | — |
| 131 | C4×C5×D3 | — | 4 | 1 | no | — |
| 132 | C5×Dic6 | — | 2 | 1 | no | — |
| 133 | C5×Dic6 | — | 2 | 1 | no | — |
| 134 | C5×Dic6 | — | 2 | 1 | no | — |
| 135 | C5×Dic6 | C22⋊C4 | 1 | 2 | yes | — |
| 136 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 137 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 138 | C2×C3×Dic5 | — | 4 | 2 | no | — |
| 139 | C2×C3×Dic5 | — | 4 | 1 | no | — |
| 140 | D3×Dic5 | — | 4 | 4 | no | — |
| 141 | C3×C5×C8 | — | 2 | 2 | no | — |
| 142 | C3⋊#168 | — | 4 | 1 | no | — |
| 143 | C2×#235 | C2×D5 | 1 | 1 | yes | characteristic |
| 144 | C2×#235 | C2×D5 | 1 | 1 | yes | characteristic |
| 145 | C2×C3×M16 | C2×D5 | 1 | 1 | yes | characteristic |
| 146 | C3×#117 | — | 5 | 1 | no | — |
| 147 | C2×C3×C42 | — | 5 | 1 | no | — |
| 148 | C4×#67 | — | 10 | 2 | no | — |
| 149 | #926 | — | 5 | 1 | no | — |
| 150 | C2×#208 | — | 5 | 1 | no | — |
| 151 | #909 | — | 2 | 1 | no | — |
| 152 | #909 | Dic5 | 1 | 2 | yes | complemented |
| 153 | #908 | — | 2 | 1 | no | — |
| 154 | #908 | Dic5 | 1 | 2 | yes | complemented |
| 155 | #904 | — | 2 | 2 | no | — |
| 156 | C4×D12 | — | 10 | 1 | no | — |
| 157 | #872 | — | 10 | 1 | no | — |
| 158 | C42×D3 | — | 10 | 1 | no | — |
| 159 | C4×Dic6 | — | 10 | 1 | no | — |
| 160 | #806 | — | 10 | 2 | no | — |
| 161 | #805 | — | 10 | 1 | no | — |
| 162 | #805 | — | 10 | 1 | no | — |
| 163 | #805 | — | 10 | 2 | no | — |
| 164 | C5×#41 | — | 3 | 2 | no | — |
| 165 | C5×#41 | — | 3 | 2 | no | — |
| 166 | C5×#41 | — | 6 | 1 | no | — |
| 167 | C5×#41 | — | 6 | 1 | no | — |
| 168 | C5×#41 | — | 6 | 1 | no | — |
| 169 | C5×#41 | — | 6 | 1 | no | — |
| 170 | C5×#41 | — | 6 | 1 | no | — |
| 171 | C5×#41 | — | 6 | 1 | no | — |
| 172 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 173 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 174 | C2×C5×D4 | — | 3 | 1 | no | — |
| 175 | C2×C5×D4 | — | 3 | 1 | no | — |
| 176 | C2×C5×D4 | — | 6 | 1 | no | — |
| 177 | C2×C5×D4 | — | 6 | 1 | no | — |
| 178 | C22×C4×C5 | — | 6 | 1 | no | — |
| 179 | C22×C4×C5 | — | 6 | 1 | no | — |
| 180 | C22×C4×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 181 | C22×Dic5 | — | 2 | 1 | no | — |
| 182 | C22×Dic5 | — | 6 | 2 | no | — |
| 183 | C5×Q16 | — | 6 | 2 | no | — |
| 184 | C5×SD16 | — | 6 | 2 | no | — |
| 185 | C5×SD16 | — | 6 | 2 | no | — |
| 186 | C5×D8 | — | 6 | 2 | no | — |
| 187 | C5×M16 | — | 2 | 1 | no | — |
| 188 | C5×M16 | C4×D3 | 1 | 2 | yes | complemented |
| 189 | C2×C5×C8 | — | 2 | 1 | no | — |
| 190 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 191 | C22⋊Dic5 | — | 3 | 2 | no | — |
| 192 | C22⋊Dic5 | — | 6 | 2 | no | — |
| 193 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 194 | C4⋊Dic5 | — | 6 | 2 | no | — |
| 195 | C4⋊Dic5 | — | 6 | 1 | no | — |
| 196 | C4×Dic5 | — | 2 | 1 | no | — |
| 197 | C4×Dic5 | — | 2 | 1 | no | — |
| 198 | C4×Dic5 | — | 6 | 2 | no | — |
| 199 | C4×Dic5 | — | 6 | 1 | no | — |
| 200 | C4×Dic5 | D12 | 1 | 1 | yes | characteristic |
| 201 | C4×Dic5 | D12 | 1 | 1 | yes | characteristic |
| 202 | #681 | — | 6 | 1 | no | — |
| 203 | #681 | — | 6 | 1 | no | — |
| 204 | C2×#168 | — | 6 | 1 | no | — |
| 205 | #575 | — | 3 | 1 | no | — |
| 206 | C4×#41 | — | 15 | 1 | no | — |
| 207 | #421 | — | 15 | 1 | no | — |
| 208 | C2×#104 | — | 15 | 1 | no | — |
| 209 | #410 | — | 15 | 1 | no | — |
| 210 | #344 | — | 15 | 1 | no | — |
| 211 | #339 | — | 5 | 1 | no | — |
| 212 | C22×C3×C5 | — | 4 | 1 | no | — |
| 213 | C22×C3×C5 | C4×D4 | 1 | 1 | yes | characteristic |
| 214 | C22×C3×C5 | #120 | 1 | 1 | yes | characteristic |
| 215 | C22×C3×C5 | #121 | 1 | 1 | yes | characteristic |
| 216 | C2×C5×D3 | — | 2 | 2 | no | — |
| 217 | C2×C5×D3 | — | 4 | 2 | no | — |
| 218 | C2×C5×D3 | — | 4 | 1 | no | — |
| 219 | C2×C5×D3 | — | 8 | 1 | no | — |
| 220 | C3×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 221 | C3×C4×C5 | C4×D4 | 1 | 1 | yes | characteristic |
| 222 | C3×C4×C5 | #121 | 1 | 1 | yes | characteristic |
| 223 | C3×C4×C5 | #123 | 1 | 1 | yes | characteristic |
| 224 | Dic15 | — | 4 | 2 | no | — |
| 225 | C3×Dic5 | — | 2 | 2 | no | — |
| 226 | C3×Dic5 | — | 4 | 1 | no | — |
| 227 | C3×Dic5 | — | 8 | 1 | no | — |
| 228 | C5×Dic3 | — | 2 | 2 | no | — |
| 229 | C5×Dic3 | — | 4 | 1 | no | — |
| 230 | C22×C3×C4 | — | 10 | 1 | no | — |
| 231 | C22×C3×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 232 | C2×#67 | — | 2 | 1 | no | — |
| 233 | C2×#67 | — | 2 | 1 | no | — |
| 234 | #235 | — | 2 | 1 | no | — |
| 235 | #235 | — | 2 | 1 | no | — |
| 236 | #235 | — | 2 | 1 | no | — |
| 237 | #235 | — | 2 | 1 | no | — |
| 238 | #235 | — | 2 | 1 | no | — |
| 239 | #235 | — | 2 | 1 | no | — |
| 240 | #235 | C2×Dic5 | 1 | 2 | yes | — |
| 241 | #235 | C22⋊D5 | 1 | 2 | yes | — |
| 242 | C2×D12 | C2×Dic5 | 1 | 1 | yes | characteristic, complemented |
| 243 | C2×D12 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 244 | C2×C4×D3 | — | 2 | 1 | no | — |
| 245 | C2×C4×D3 | — | 2 | 1 | no | — |
| 246 | C2×C4×D3 | — | 10 | 2 | no | — |
| 247 | C2×Dic6 | C2×Dic5 | 1 | 1 | yes | characteristic, complemented |
| 248 | C2×Dic6 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 249 | C3×M16 | — | 2 | 1 | no | — |
| 250 | C3×M16 | C2×Dic5 | 1 | 2 | yes | complemented |
| 251 | C2×C3×C8 | — | 2 | 1 | no | — |
| 252 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 253 | C3×C22⋊C4 | — | 10 | 1 | no | — |
| 254 | C3×C42 | — | 5 | 1 | no | — |
| 255 | C3×C42 | — | 5 | 1 | no | — |
| 256 | C3×C42 | — | 10 | 1 | no | — |
| 257 | C3×C42 | — | 10 | 1 | no | — |
| 258 | #217 | — | 5 | 2 | no | — |
| 259 | (C2×D3)⋊C4 | — | 10 | 2 | no | — |
| 260 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 261 | Dic3⋊C4 | — | 10 | 2 | no | — |
| 262 | C4×Dic3 | — | 10 | 2 | no | — |
| 263 | C4×Dic3 | — | 10 | 1 | no | — |
| 264 | #208 | — | 10 | 1 | no | — |
| 265 | #208 | — | 10 | 1 | no | — |
| 266 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 267 | Dic12 | — | 2 | 2 | no | — |
| 268 | D24 | — | 2 | 2 | no | — |
| 269 | #204 | — | 2 | 2 | no | — |
| 270 | #204 | — | 2 | 2 | no | — |
| 271 | C23×C5 | — | 6 | 1 | no | — |
| 272 | C23×C5 | — | 6 | 1 | no | — |
| 273 | C23×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 274 | C5×Q8 | — | 3 | 2 | no | — |
| 275 | C5×Q8 | — | 6 | 1 | no | — |
| 276 | C5×Q8 | — | 6 | 1 | no | — |
| 277 | C5×Q8 | — | 6 | 1 | no | — |
| 278 | C5×D4 | — | 3 | 2 | no | — |
| 279 | C5×D4 | — | 6 | 2 | no | — |
| 280 | C5×D4 | — | 6 | 2 | no | — |
| 281 | C5×D4 | — | 6 | 1 | no | — |
| 282 | C5×D4 | — | 6 | 1 | no | — |
| 283 | C5×D4 | — | 6 | 1 | no | — |
| 284 | C5×D4 | — | 12 | 1 | no | — |
| 285 | C5×D4 | — | 12 | 1 | no | — |
| 286 | C2×C4×C5 | — | 6 | 1 | no | — |
| 287 | C2×C4×C5 | — | 6 | 2 | no | — |
| 288 | C2×C4×C5 | — | 6 | 2 | no | — |
| 289 | C2×C4×C5 | — | 6 | 1 | no | — |
| 290 | C2×C4×C5 | — | 12 | 1 | no | — |
| 291 | C2×C4×C5 | — | 12 | 1 | no | — |
| 292 | C2×C4×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 293 | C2×C4×C5 | C2×D12 | 1 | 1 | yes | characteristic |
| 294 | C2×C4×C5 | #235 | 1 | 1 | yes | characteristic |
| 295 | C2×C4×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 296 | C2×C4×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 297 | C2×C4×C5 | #239 | 1 | 1 | yes | characteristic |
| 298 | C2×Dic5 | — | 2 | 1 | no | — |
| 299 | C2×Dic5 | — | 2 | 1 | no | — |
| 300 | C2×Dic5 | — | 4 | 2 | no | — |
| 301 | C2×Dic5 | — | 4 | 1 | no | — |
| 302 | C2×Dic5 | — | 6 | 2 | no | — |
| 303 | C2×Dic5 | — | 12 | 4 | no | — |
| 304 | C5×C8 | — | 2 | 2 | no | — |
| 305 | #168 | — | 12 | 1 | no | — |
| 306 | C2×#41 | — | 3 | 1 | no | — |
| 307 | C2×#41 | — | 3 | 1 | no | — |
| 308 | #137 | — | 3 | 2 | no | — |
| 309 | #137 | — | 6 | 1 | no | — |
| 310 | AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 311 | AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 312 | #135 | — | 6 | 2 | no | — |
| 313 | C2×M16 | — | 15 | 1 | no | — |
| 314 | C2×M16 | D3×D5 | 1 | 1 | yes | characteristic |
| 315 | C4×Q8 | — | 30 | 1 | no | — |
| 316 | C4×D4 | — | 30 | 1 | no | — |
| 317 | C4×D4 | — | 30 | 2 | no | — |
| 318 | #117 | — | 5 | 1 | no | — |
| 319 | #117 | — | 15 | 1 | no | — |
| 320 | #117 | — | 30 | 1 | no | — |
| 321 | C2×C42 | — | 5 | 1 | no | — |
| 322 | C2×C42 | — | 30 | 1 | no | — |
| 323 | #104 | — | 30 | 1 | no | — |
| 324 | #104 | — | 30 | 1 | no | — |
| 325 | #104 | — | 30 | 2 | no | — |
| 326 | #99 | — | 30 | 2 | no | — |
| 327 | C2×C3×C5 | — | 2 | 1 | no | — |
| 328 | C2×C3×C5 | — | 2 | 1 | no | — |
| 329 | C2×C3×C5 | — | 2 | 1 | no | — |
| 330 | C2×C3×C5 | #386 | 1 | 1 | yes | characteristic |
| 331 | C5×D3 | — | 4 | 2 | no | — |
| 332 | C5×D3 | — | 8 | 1 | no | — |
| 333 | C23×C3 | D4×D5 | 1 | 1 | yes | characteristic |
| 334 | C22×D3 | — | 2 | 1 | no | — |
| 335 | C22×D3 | — | 2 | 1 | no | — |
| 336 | C2×C3×C4 | — | 10 | 1 | no | — |
| 337 | C2×C3×C4 | — | 10 | 1 | no | — |
| 338 | C2×C3×C4 | — | 20 | 2 | no | — |
| 339 | C2×C3×C4 | — | 20 | 1 | no | — |
| 340 | C2×C3×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 341 | C2×C3×C4 | #711 | 1 | 1 | yes | characteristic |
| 342 | C2×C3×C4 | #711 | 1 | 1 | yes | characteristic |
| 343 | C2×C3×C4 | C22×Dic5 | 1 | 1 | yes | characteristic |
| 344 | C2×C3×C4 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 345 | C2×C3×C4 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 346 | #67 | — | 2 | 2 | no | — |
| 347 | #67 | — | 2 | 2 | no | — |
| 348 | #67 | — | 4 | 1 | no | — |
| 349 | #67 | — | 4 | 1 | no | — |
| 350 | C2×Dic3 | — | 2 | 1 | no | — |
| 351 | C2×Dic3 | — | 2 | 1 | no | — |
| 352 | C2×Dic3 | — | 10 | 2 | no | — |
| 353 | D12 | — | 2 | 1 | no | — |
| 354 | D12 | — | 2 | 1 | no | — |
| 355 | D12 | — | 2 | 1 | no | — |
| 356 | D12 | C22⋊Dic5 | 1 | 2 | yes | — |
| 357 | C4×D3 | — | 2 | 2 | no | — |
| 358 | C4×D3 | — | 2 | 2 | no | — |
| 359 | C4×D3 | — | 4 | 1 | no | — |
| 360 | C4×D3 | — | 4 | 1 | no | — |
| 361 | C4×D3 | — | 20 | 4 | no | — |
| 362 | Dic6 | — | 2 | 1 | no | — |
| 363 | Dic6 | — | 2 | 1 | no | — |
| 364 | Dic6 | — | 2 | 1 | no | — |
| 365 | Dic6 | C22⋊Dic5 | 1 | 2 | yes | — |
| 366 | C3×C8 | — | 2 | 2 | no | — |
| 367 | C3⋊C8 | — | 20 | 1 | no | — |
| 368 | C22×C5 | — | 4 | 1 | no | — |
| 369 | C22×C5 | — | 6 | 2 | no | — |
| 370 | C22×C5 | — | 12 | 2 | no | — |
| 371 | C22×C5 | — | 12 | 1 | no | — |
| 372 | C22×C5 | — | 24 | 1 | no | — |
| 373 | C22×C5 | #882 | 1 | 1 | yes | characteristic |
| 374 | C22×C5 | #884 | 1 | 1 | yes | characteristic |
| 375 | C22×C5 | #893 | 1 | 1 | yes | characteristic |
| 376 | C4×C5 | — | 6 | 2 | no | — |
| 377 | C4×C5 | — | 12 | 1 | no | — |
| 378 | C4×C5 | C4×D12 | 1 | 1 | yes | characteristic |
| 379 | C4×C5 | D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 380 | C4×C5 | #894 | 1 | 1 | yes | characteristic |
| 381 | C4×C5 | #895 | 1 | 1 | yes | characteristic |
| 382 | Dic5 | — | 2 | 2 | no | — |
| 383 | Dic5 | — | 4 | 1 | no | — |
| 384 | Dic5 | — | 8 | 1 | no | — |
| 385 | Dic5 | — | 12 | 2 | no | — |
| 386 | #41 | — | 3 | 2 | no | — |
| 387 | #41 | — | 3 | 2 | no | — |
| 388 | #41 | — | 6 | 1 | no | — |
| 389 | #41 | — | 6 | 1 | no | — |
| 390 | #41 | — | 6 | 1 | no | — |
| 391 | #41 | — | 6 | 1 | no | — |
| 392 | #41 | — | 6 | 1 | no | — |
| 393 | #41 | — | 6 | 1 | no | — |
| 394 | C2×Q8 | — | 3 | 1 | no | — |
| 395 | C2×Q8 | — | 3 | 1 | no | — |
| 396 | C2×D4 | — | 3 | 1 | no | — |
| 397 | C2×D4 | — | 3 | 1 | no | — |
| 398 | C2×D4 | — | 6 | 1 | no | — |
| 399 | C2×D4 | — | 6 | 1 | no | — |
| 400 | C22×C4 | — | 6 | 1 | no | — |
| 401 | C22×C4 | — | 6 | 1 | no | — |
| 402 | C22×C4 | — | 10 | 1 | no | — |
| 403 | C22×C4 | — | 30 | 2 | no | — |
| 404 | C22×C4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 405 | Q16 | — | 6 | 2 | no | — |
| 406 | SD16 | — | 6 | 2 | no | — |
| 407 | SD16 | — | 6 | 2 | no | — |
| 408 | D8 | — | 6 | 2 | no | — |
| 409 | M16 | — | 2 | 1 | no | — |
| 410 | M16 | — | 30 | 1 | no | — |
| 411 | M16 | — | 30 | 1 | no | — |
| 412 | M16 | D3×Dic5 | 1 | 2 | yes | complemented |
| 413 | C2×C8 | — | 2 | 1 | no | — |
| 414 | C2×C8 | — | 30 | 1 | no | — |
| 415 | C4⋊C4 | — | 10 | 1 | no | — |
| 416 | C4⋊C4 | — | 30 | 2 | no | — |
| 417 | C4⋊C4 | — | 30 | 1 | no | — |
| 418 | C22⋊C4 | — | 10 | 1 | no | — |
| 419 | C22⋊C4 | — | 15 | 2 | no | — |
| 420 | C22⋊C4 | — | 30 | 2 | no | — |
| 421 | C42 | — | 5 | 1 | no | — |
| 422 | C42 | — | 5 | 1 | no | — |
| 423 | C42 | — | 10 | 1 | no | — |
| 424 | C42 | — | 10 | 1 | no | — |
| 425 | C42 | — | 30 | 2 | no | — |
| 426 | C42 | — | 30 | 1 | no | — |
| 427 | C3×C5 | #1906 | 1 | 1 | yes | characteristic, complemented, Hall |
| 428 | C22×C3 | — | 4 | 1 | no | — |
| 429 | C22×C3 | D4×Dic5 | 1 | 1 | yes | characteristic |
| 430 | C22×C3 | #4083 | 1 | 1 | yes | characteristic |
| 431 | C22×C3 | #4085 | 1 | 1 | yes | characteristic |
| 432 | C2×D3 | — | 2 | 2 | no | — |
| 433 | C2×D3 | — | 4 | 2 | no | — |
| 434 | C2×D3 | — | 4 | 1 | no | — |
| 435 | C2×D3 | — | 8 | 1 | no | — |
| 436 | C3×C4 | — | 10 | 2 | no | — |
| 437 | C3×C4 | — | 20 | 1 | no | — |
| 438 | C3×C4 | — | 40 | 1 | no | — |
| 439 | C3×C4 | D4×Dic5 | 1 | 1 | yes | characteristic |
| 440 | C3×C4 | #4081 | 1 | 1 | yes | characteristic |
| 441 | C3×C4 | #4085 | 1 | 1 | yes | characteristic |
| 442 | C3×C4 | C2×C22⋊Dic5 | 1 | 1 | yes | characteristic |
| 443 | Dic3 | — | 2 | 2 | no | — |
| 444 | Dic3 | — | 4 | 1 | no | — |
| 445 | Dic3 | — | 20 | 2 | no | — |
| 446 | C2×C5 | — | 2 | 1 | no | — |
| 447 | C2×C5 | — | 2 | 1 | no | — |
| 448 | C2×C5 | — | 2 | 1 | no | — |
| 449 | C2×C5 | — | 12 | 2 | no | — |
| 450 | C2×C5 | — | 24 | 1 | no | — |
| 451 | C2×C5 | #4665 | 1 | 1 | yes | characteristic |
| 452 | C23 | — | 6 | 1 | no | — |
| 453 | C23 | — | 6 | 1 | no | — |
| 454 | C23 | #6777 | 1 | 1 | yes | characteristic |
| 455 | Q8 | — | 3 | 2 | no | — |
| 456 | Q8 | — | 6 | 1 | no | — |
| 457 | Q8 | — | 6 | 1 | no | — |
| 458 | Q8 | — | 6 | 1 | no | — |
| 459 | D4 | — | 3 | 2 | no | — |
| 460 | D4 | — | 6 | 2 | no | — |
| 461 | D4 | — | 6 | 2 | no | — |
| 462 | D4 | — | 6 | 1 | no | — |
| 463 | D4 | — | 6 | 1 | no | — |
| 464 | D4 | — | 6 | 1 | no | — |
| 465 | D4 | — | 12 | 1 | no | — |
| 466 | D4 | — | 12 | 1 | no | — |
| 467 | C2×C4 | — | 6 | 1 | no | — |
| 468 | C2×C4 | — | 6 | 2 | no | — |
| 469 | C2×C4 | — | 6 | 2 | no | — |
| 470 | C2×C4 | — | 6 | 1 | no | — |
| 471 | C2×C4 | — | 10 | 1 | no | — |
| 472 | C2×C4 | — | 10 | 1 | no | — |
| 473 | C2×C4 | — | 12 | 1 | no | — |
| 474 | C2×C4 | — | 12 | 1 | no | — |
| 475 | C2×C4 | — | 20 | 2 | no | — |
| 476 | C2×C4 | — | 20 | 1 | no | — |
| 477 | C2×C4 | — | 30 | 2 | no | — |
| 478 | C2×C4 | — | 60 | 4 | no | — |
| 479 | C2×C4 | #6768 | 1 | 1 | yes | characteristic |
| 480 | C2×C4 | #6772 | 1 | 1 | yes | characteristic |
| 481 | C2×C4 | D5×D12 | 1 | 1 | yes | characteristic |
| 482 | C2×C4 | C2×D3×Dic5 | 1 | 1 | yes | characteristic |
| 483 | C2×C4 | D3×C22⋊D5 | 1 | 1 | yes | characteristic |
| 484 | C2×C4 | D3×C22⋊D5 | 1 | 1 | yes | characteristic |
| 485 | C8 | — | 2 | 2 | no | — |
| 486 | C8 | — | 60 | 1 | no | — |
| 487 | C2×C3 | — | 2 | 1 | no | — |
| 488 | C2×C3 | — | 2 | 1 | no | — |
| 489 | C2×C3 | — | 2 | 1 | no | — |
| 490 | C2×C3 | #65509 | 1 | 1 | yes | characteristic |
| 491 | D3 | — | 4 | 2 | no | — |
| 492 | D3 | — | 8 | 1 | no | — |
| 493 | C5 | #68778 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 494 | C22 | — | 4 | 1 | no | — |
| 495 | C22 | — | 6 | 2 | no | — |
| 496 | C22 | — | 12 | 2 | no | — |
| 497 | C22 | — | 12 | 1 | no | — |
| 498 | C22 | — | 24 | 1 | no | — |
| 499 | C22 | #91435 | 1 | 1 | yes | characteristic |
| 500 | C22 | #91453 | 1 | 1 | yes | characteristic |
| 501 | C22 | #91475 | 1 | 1 | yes | characteristic |
| 502 | C4 | — | 6 | 2 | no | — |
| 503 | C4 | — | 10 | 2 | no | — |
| 504 | C4 | — | 12 | 1 | no | — |
| 505 | C4 | — | 20 | 1 | no | — |
| 506 | C4 | — | 40 | 1 | no | — |
| 507 | C4 | — | 60 | 2 | no | — |
| 508 | C4 | Dic5×D12 | 1 | 1 | yes | characteristic |
| 509 | C4 | #91416 | 1 | 1 | yes | characteristic |
| 510 | C4 | #91423 | 1 | 1 | yes | characteristic |
| 511 | C4 | D3×C22⋊Dic5 | 1 | 1 | yes | characteristic |
| 512 | C3 | #10602907 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 513 | C2 | — | 2 | 1 | no | — |
| 514 | C2 | — | 2 | 1 | no | — |
| 515 | C2 | — | 2 | 1 | no | — |
| 516 | C2 | — | 12 | 2 | no | — |
| 517 | C2 | — | 24 | 1 | no | — |
| 518 | C2 | #11748901 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta