| 1 | #41×D21 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D3×C7×#41 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×D7×#41 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10621582 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10621577 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10621576 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10621575 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10621574 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | #10621573 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | #10621572 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | #10621567 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | #10621563 | C2 | 1 | 3 | yes | maximal, complemented |
| 13 | D3×#1157 | C2 | 1 | 3 | yes | maximal, complemented |
| 14 | D7×#235 | C2 | 1 | 3 | yes | maximal, complemented |
| 15 | C2×#66675 | C2 | 1 | 3 | yes | maximal, complemented |
| 16 | #90616 | — | 3 | 1 | no | maximal, Hall |
| 17 | C3×C7×#41 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | #66732 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | Q8×D21 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | #66730 | C22 | 1 | 3 | yes | complemented |
| 21 | D4×D21 | C22 | 1 | 3 | yes | complemented |
| 22 | #66728 | C22 | 1 | 3 | yes | complemented |
| 23 | C2×C4×D21 | C22 | 1 | 3 | yes | complemented |
| 24 | C7×#239 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | D3×C7×Q8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C7×#237 | C22 | 1 | 3 | yes | complemented |
| 27 | D3×C7×D4 | C22 | 1 | 3 | yes | complemented |
| 28 | C7×#235 | C22 | 1 | 3 | yes | complemented |
| 29 | C2×C4×D3×C7 | C22 | 1 | 3 | yes | complemented |
| 30 | C3×#1161 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C3×Q8×D7 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C3×#1159 | C22 | 1 | 3 | yes | complemented |
| 33 | C3×D4×D7 | C22 | 1 | 3 | yes | complemented |
| 34 | C3×#1157 | C22 | 1 | 3 | yes | complemented |
| 35 | C2×C3×C4×D7 | C22 | 1 | 3 | yes | complemented |
| 36 | #66694 | C22 | 1 | 6 | yes | complemented |
| 37 | D3×C22⋊D7 | C22 | 1 | 6 | yes | complemented |
| 38 | D7×#67 | C22 | 1 | 6 | yes | complemented |
| 39 | C2×#4248 | C22 | 1 | 3 | yes | complemented |
| 40 | C2×#4247 | C22 | 1 | 3 | yes | complemented |
| 41 | C2×#4246 | C22 | 1 | 3 | yes | complemented |
| 42 | C2×#4245 | C22 | 1 | 3 | yes | complemented |
| 43 | #66686 | C22 | 1 | 6 | yes | complemented |
| 44 | #66684 | C22 | 1 | 6 | yes | complemented |
| 45 | #66683 | C22 | 1 | 6 | yes | complemented |
| 46 | #66681 | C22 | 1 | 3 | yes | complemented |
| 47 | D3×D28 | C22 | 1 | 3 | yes | complemented |
| 48 | D7×D12 | C22 | 1 | 3 | yes | complemented |
| 49 | C4×D3×D7 | C22 | 1 | 6 | yes | complemented |
| 50 | #66677 | C22 | 1 | 3 | yes | complemented |
| 51 | #66676 | C22 | 1 | 3 | yes | complemented |
| 52 | #66675 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #66675 | C22 | 1 | 3 | yes | complemented |
| 54 | #66675 | C22 | 1 | 3 | yes | complemented |
| 55 | #66675 | C22 | 1 | 3 | yes | complemented |
| 56 | #66675 | C22 | 1 | 3 | yes | complemented |
| 57 | #66675 | C22 | 1 | 3 | yes | complemented |
| 58 | #66675 | C22 | 1 | 3 | yes | complemented |
| 59 | #66675 | C22 | 1 | 3 | yes | complemented |
| 60 | D21⋊Q8 | C22 | 1 | 3 | yes | complemented |
| 61 | #66673 | C22 | 1 | 3 | yes | complemented |
| 62 | #66672 | C22 | 1 | 3 | yes | complemented |
| 63 | D3×Dic14 | C22 | 1 | 3 | yes | complemented |
| 64 | #66670 | C22 | 1 | 3 | yes | complemented |
| 65 | #66669 | C22 | 1 | 3 | yes | complemented |
| 66 | D7×Dic6 | C22 | 1 | 3 | yes | complemented |
| 67 | C2×C7×#41 | — | 3 | 1 | no | — |
| 68 | #6554 | — | 3 | 1 | no | — |
| 69 | #6554 | — | 3 | 3 | no | — |
| 70 | #6553 | — | 3 | 1 | no | — |
| 71 | #6553 | — | 3 | 3 | no | — |
| 72 | D7×#41 | — | 3 | 1 | no | — |
| 73 | D7×#41 | — | 3 | 3 | no | — |
| 74 | D7×#41 | — | 3 | 3 | no | — |
| 75 | D7×#41 | D3 | 1 | 1 | yes | characteristic, complemented |
| 76 | #6551 | — | 3 | 1 | no | — |
| 77 | #6551 | — | 3 | 1 | no | — |
| 78 | #6548 | — | 3 | 3 | no | — |
| 79 | #6548 | — | 3 | 3 | no | — |
| 80 | C2×#1157 | — | 3 | 3 | no | — |
| 81 | C2×#1157 | — | 3 | 3 | no | — |
| 82 | #5964 | — | 7 | 1 | no | maximal, Hall |
| 83 | C22×D21 | C23 | 1 | 3 | yes | — |
| 84 | C22×D3×C7 | C23 | 1 | 3 | yes | — |
| 85 | C22×C3×D7 | C23 | 1 | 3 | yes | — |
| 86 | C2×D3×D7 | C23 | 1 | 6 | yes | — |
| 87 | C3×C7×Q8 | C23 | 1 | 1 | yes | characteristic |
| 88 | C3×C7×D4 | C23 | 1 | 3 | yes | — |
| 89 | C2×C3×C4×C7 | C23 | 1 | 3 | yes | — |
| 90 | #4268 | C23 | 1 | 6 | yes | — |
| 91 | C2×Dic21 | C23 | 1 | 3 | yes | — |
| 92 | D84 | C23 | 1 | 3 | yes | — |
| 93 | C4×D21 | C23 | 1 | 3 | yes | — |
| 94 | C4×D21 | C23 | 1 | 3 | yes | — |
| 95 | C4×D21 | C23 | 1 | 1 | yes | characteristic |
| 96 | C4×D21 | C23 | 1 | 3 | yes | — |
| 97 | Dic42 | C23 | 1 | 3 | yes | — |
| 98 | C7×#67 | C23 | 1 | 6 | yes | — |
| 99 | C2×C7×Dic3 | C23 | 1 | 3 | yes | — |
| 100 | C7×D12 | C23 | 1 | 3 | yes | — |
| 101 | C4×D3×C7 | C23 | 1 | 3 | yes | — |
| 102 | C4×D3×C7 | C23 | 1 | 3 | yes | — |
| 103 | C4×D3×C7 | C23 | 1 | 1 | yes | characteristic |
| 104 | C4×D3×C7 | C23 | 1 | 3 | yes | — |
| 105 | C7×Dic6 | C23 | 1 | 3 | yes | — |
| 106 | C3×C22⋊D7 | C23 | 1 | 6 | yes | — |
| 107 | C2×C3×Dic7 | C23 | 1 | 3 | yes | — |
| 108 | C3×D28 | C23 | 1 | 3 | yes | — |
| 109 | C3×C4×D7 | C23 | 1 | 3 | yes | — |
| 110 | C3×C4×D7 | C23 | 1 | 1 | yes | characteristic |
| 111 | C3×C4×D7 | C23 | 1 | 3 | yes | — |
| 112 | C3×C4×D7 | C23 | 1 | 3 | yes | — |
| 113 | C3×Dic14 | C23 | 1 | 3 | yes | — |
| 114 | #4248 | C23 | 1 | 3 | yes | — |
| 115 | #4248 | C23 | 1 | 3 | yes | — |
| 116 | #4248 | C23 | 1 | 3 | yes | — |
| 117 | #4248 | C23 | 1 | 1 | yes | characteristic |
| 118 | #4247 | C23 | 1 | 3 | yes | — |
| 119 | #4247 | C23 | 1 | 3 | yes | — |
| 120 | #4247 | C23 | 1 | 1 | yes | characteristic |
| 121 | #4247 | C23 | 1 | 3 | yes | — |
| 122 | #4246 | C23 | 1 | 3 | yes | — |
| 123 | #4246 | C23 | 1 | 1 | yes | characteristic |
| 124 | #4246 | C23 | 1 | 3 | yes | — |
| 125 | #4246 | C23 | 1 | 3 | yes | — |
| 126 | #4245 | C23 | 1 | 3 | yes | — |
| 127 | #4245 | C23 | 1 | 1 | yes | characteristic |
| 128 | #4245 | C23 | 1 | 3 | yes | — |
| 129 | #4245 | C23 | 1 | 3 | yes | — |
| 130 | D21⋊C4 | C23 | 1 | 6 | yes | — |
| 131 | D3×Dic7 | C23 | 1 | 6 | yes | — |
| 132 | Dic3×D7 | C23 | 1 | 6 | yes | — |
| 133 | C7×#41 | — | 3 | 1 | no | — |
| 134 | C7×#41 | — | 3 | 3 | no | — |
| 135 | C7×#41 | — | 3 | 3 | no | — |
| 136 | C7×#41 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 137 | C2×C7×Q8 | — | 3 | 1 | no | — |
| 138 | C2×C7×D4 | — | 3 | 3 | no | — |
| 139 | C22×C4×C7 | — | 3 | 3 | no | — |
| 140 | C2×C22⋊D7 | — | 3 | 3 | no | — |
| 141 | C2×C22⋊D7 | — | 3 | 6 | no | — |
| 142 | C2×C22⋊D7 | — | 3 | 3 | no | — |
| 143 | #1161 | — | 3 | 1 | no | — |
| 144 | #1161 | — | 3 | 3 | no | — |
| 145 | #1161 | — | 3 | 3 | no | — |
| 146 | #1161 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 147 | Q8×D7 | — | 3 | 1 | no | — |
| 148 | Q8×D7 | — | 3 | 3 | no | — |
| 149 | Q8×D7 | — | 3 | 3 | no | — |
| 150 | Q8×D7 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 151 | #1159 | — | 3 | 3 | no | — |
| 152 | #1159 | — | 3 | 6 | no | — |
| 153 | #1159 | — | 3 | 6 | no | — |
| 154 | #1159 | — | 3 | 3 | no | — |
| 155 | #1159 | — | 3 | 3 | no | — |
| 156 | #1159 | C2×D3 | 1 | 3 | yes | complemented |
| 157 | D4×D7 | — | 3 | 6 | no | — |
| 158 | D4×D7 | — | 3 | 3 | no | — |
| 159 | D4×D7 | — | 3 | 6 | no | — |
| 160 | D4×D7 | — | 3 | 3 | no | — |
| 161 | D4×D7 | — | 3 | 3 | no | — |
| 162 | D4×D7 | C2×D3 | 1 | 3 | yes | complemented |
| 163 | #1157 | — | 3 | 3 | no | — |
| 164 | #1157 | — | 3 | 6 | no | — |
| 165 | #1157 | — | 3 | 3 | no | — |
| 166 | #1157 | — | 3 | 3 | no | — |
| 167 | #1157 | — | 3 | 1 | no | — |
| 168 | #1157 | — | 3 | 3 | no | — |
| 169 | #1157 | — | 3 | 3 | no | — |
| 170 | #1157 | — | 3 | 3 | no | — |
| 171 | #1157 | — | 3 | 3 | no | — |
| 172 | #1157 | — | 3 | 3 | no | — |
| 173 | #1157 | — | 3 | 3 | no | — |
| 174 | #1157 | — | 3 | 3 | no | — |
| 175 | #1157 | C2×D3 | 1 | 3 | yes | complemented |
| 176 | C2×D28 | — | 3 | 3 | no | — |
| 177 | C2×D28 | — | 3 | 3 | no | — |
| 178 | C2×C4×D7 | — | 3 | 3 | no | — |
| 179 | C2×C4×D7 | — | 3 | 6 | no | — |
| 180 | C2×C4×D7 | C2×D3 | 1 | 3 | yes | complemented |
| 181 | C2×Dic14 | — | 3 | 3 | no | — |
| 182 | C2×Dic14 | — | 3 | 3 | no | — |
| 183 | C2×C3×#41 | — | 7 | 1 | no | — |
| 184 | #1010 | — | 7 | 1 | no | — |
| 185 | #1010 | — | 7 | 3 | no | — |
| 186 | #1009 | — | 7 | 1 | no | — |
| 187 | #1009 | — | 7 | 3 | no | — |
| 188 | D3×#41 | — | 7 | 1 | no | — |
| 189 | D3×#41 | — | 7 | 3 | no | — |
| 190 | D3×#41 | — | 7 | 3 | no | — |
| 191 | D3×#41 | D7 | 1 | 1 | yes | characteristic, complemented |
| 192 | #1007 | — | 7 | 1 | no | — |
| 193 | #1007 | — | 7 | 1 | no | — |
| 194 | #1004 | — | 7 | 3 | no | — |
| 195 | #1004 | — | 7 | 3 | no | — |
| 196 | C2×#235 | — | 7 | 3 | no | — |
| 197 | C2×#235 | — | 7 | 3 | no | — |
| 198 | C22×C3×C7 | C24 | 1 | 3 | yes | — |
| 199 | C2×D21 | — | 4 | 3 | no | — |
| 200 | C2×D21 | C24 | 1 | 3 | yes | — |
| 201 | C2×D21 | C24 | 1 | 1 | yes | characteristic |
| 202 | C2×D3×C7 | — | 4 | 3 | no | — |
| 203 | C2×D3×C7 | C24 | 1 | 3 | yes | — |
| 204 | C2×D3×C7 | C24 | 1 | 1 | yes | characteristic |
| 205 | C2×C3×D7 | — | 4 | 3 | no | — |
| 206 | C2×C3×D7 | C24 | 1 | 3 | yes | — |
| 207 | C2×C3×D7 | C24 | 1 | 1 | yes | characteristic |
| 208 | D3×D7 | — | 4 | 6 | no | — |
| 209 | C3×C4×C7 | C24 | 1 | 3 | yes | — |
| 210 | C3×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 211 | Dic21 | C24 | 1 | 3 | yes | — |
| 212 | Dic21 | C24 | 1 | 1 | yes | characteristic |
| 213 | C3×Dic7 | C24 | 1 | 3 | yes | — |
| 214 | C3×Dic7 | C24 | 1 | 1 | yes | characteristic |
| 215 | C7×Dic3 | C24 | 1 | 3 | yes | — |
| 216 | C7×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 217 | #585 | — | 21 | 1 | no | Sylow |
| 218 | C23×C7 | — | 3 | 3 | no | — |
| 219 | C22×D7 | — | 3 | 3 | no | — |
| 220 | C22×D7 | — | 3 | 6 | no | — |
| 221 | C22×D7 | C22×D3 | 1 | 3 | yes | — |
| 222 | C7×Q8 | — | 3 | 3 | no | — |
| 223 | C7×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 224 | C7×D4 | — | 3 | 6 | no | — |
| 225 | C7×D4 | — | 3 | 3 | no | — |
| 226 | C7×D4 | C22×D3 | 1 | 3 | yes | — |
| 227 | C2×C4×C7 | — | 3 | 3 | no | — |
| 228 | C2×C4×C7 | — | 3 | 3 | no | — |
| 229 | C2×C4×C7 | — | 3 | 3 | no | — |
| 230 | C2×C4×C7 | — | 3 | 1 | no | — |
| 231 | C2×C4×C7 | — | 3 | 3 | no | — |
| 232 | C2×C4×C7 | C22×D3 | 1 | 3 | yes | — |
| 233 | C22⋊D7 | — | 3 | 6 | no | — |
| 234 | C22⋊D7 | — | 3 | 3 | no | — |
| 235 | C22⋊D7 | — | 3 | 1 | no | — |
| 236 | C22⋊D7 | — | 3 | 3 | no | — |
| 237 | C22⋊D7 | — | 3 | 3 | no | — |
| 238 | C22⋊D7 | — | 3 | 1 | no | — |
| 239 | C22⋊D7 | — | 3 | 3 | no | — |
| 240 | C22⋊D7 | — | 3 | 3 | no | — |
| 241 | C22⋊D7 | — | 3 | 3 | no | — |
| 242 | C22⋊D7 | C22×D3 | 1 | 6 | yes | — |
| 243 | C2×Dic7 | — | 3 | 3 | no | — |
| 244 | C2×Dic7 | — | 3 | 6 | no | — |
| 245 | C2×Dic7 | C22×D3 | 1 | 3 | yes | — |
| 246 | D28 | — | 3 | 3 | no | — |
| 247 | D28 | — | 3 | 1 | no | — |
| 248 | D28 | — | 3 | 3 | no | — |
| 249 | D28 | — | 3 | 3 | no | — |
| 250 | D28 | — | 3 | 3 | no | — |
| 251 | D28 | C22×D3 | 1 | 3 | yes | — |
| 252 | C4×D7 | — | 3 | 6 | no | — |
| 253 | C4×D7 | — | 3 | 1 | no | — |
| 254 | C4×D7 | — | 3 | 3 | no | — |
| 255 | C4×D7 | — | 3 | 3 | no | — |
| 256 | C4×D7 | — | 3 | 3 | no | — |
| 257 | C4×D7 | — | 3 | 6 | no | — |
| 258 | C4×D7 | C22×D3 | 1 | 3 | yes | — |
| 259 | C4×D7 | C22×D3 | 1 | 1 | yes | characteristic |
| 260 | C4×D7 | C22×D3 | 1 | 3 | yes | — |
| 261 | C4×D7 | C22×D3 | 1 | 3 | yes | — |
| 262 | Dic14 | — | 3 | 3 | no | — |
| 263 | Dic14 | — | 3 | 1 | no | — |
| 264 | Dic14 | — | 3 | 3 | no | — |
| 265 | Dic14 | — | 3 | 3 | no | — |
| 266 | Dic14 | — | 3 | 3 | no | — |
| 267 | Dic14 | C22×D3 | 1 | 3 | yes | — |
| 268 | C3×#41 | — | 7 | 1 | no | — |
| 269 | C3×#41 | — | 7 | 3 | no | — |
| 270 | C3×#41 | — | 7 | 3 | no | — |
| 271 | C3×#41 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 272 | C2×C3×Q8 | — | 7 | 1 | no | — |
| 273 | C2×C3×D4 | — | 7 | 3 | no | — |
| 274 | C22×C3×C4 | — | 7 | 3 | no | — |
| 275 | C2×#67 | — | 7 | 3 | no | — |
| 276 | C2×#67 | — | 7 | 6 | no | — |
| 277 | C2×#67 | — | 7 | 3 | no | — |
| 278 | #239 | — | 7 | 1 | no | — |
| 279 | #239 | — | 7 | 3 | no | — |
| 280 | #239 | — | 7 | 3 | no | — |
| 281 | #239 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 282 | D3×Q8 | — | 7 | 1 | no | — |
| 283 | D3×Q8 | — | 7 | 3 | no | — |
| 284 | D3×Q8 | — | 7 | 3 | no | — |
| 285 | D3×Q8 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 286 | #237 | — | 7 | 3 | no | — |
| 287 | #237 | — | 7 | 6 | no | — |
| 288 | #237 | — | 7 | 6 | no | — |
| 289 | #237 | — | 7 | 3 | no | — |
| 290 | #237 | — | 7 | 3 | no | — |
| 291 | #237 | C2×D7 | 1 | 3 | yes | complemented |
| 292 | D3×D4 | — | 7 | 6 | no | — |
| 293 | D3×D4 | — | 7 | 3 | no | — |
| 294 | D3×D4 | — | 7 | 6 | no | — |
| 295 | D3×D4 | — | 7 | 3 | no | — |
| 296 | D3×D4 | — | 7 | 3 | no | — |
| 297 | D3×D4 | C2×D7 | 1 | 3 | yes | complemented |
| 298 | #235 | — | 7 | 3 | no | — |
| 299 | #235 | — | 7 | 6 | no | — |
| 300 | #235 | — | 7 | 3 | no | — |
| 301 | #235 | — | 7 | 3 | no | — |
| 302 | #235 | — | 7 | 1 | no | — |
| 303 | #235 | — | 7 | 3 | no | — |
| 304 | #235 | — | 7 | 3 | no | — |
| 305 | #235 | — | 7 | 3 | no | — |
| 306 | #235 | — | 7 | 3 | no | — |
| 307 | #235 | — | 7 | 3 | no | — |
| 308 | #235 | — | 7 | 3 | no | — |
| 309 | #235 | — | 7 | 3 | no | — |
| 310 | #235 | C2×D7 | 1 | 3 | yes | complemented |
| 311 | C2×D12 | — | 7 | 3 | no | — |
| 312 | C2×D12 | — | 7 | 3 | no | — |
| 313 | C2×C4×D3 | — | 7 | 3 | no | — |
| 314 | C2×C4×D3 | — | 7 | 6 | no | — |
| 315 | C2×C4×D3 | C2×D7 | 1 | 3 | yes | complemented |
| 316 | C2×Dic6 | — | 7 | 3 | no | — |
| 317 | C2×Dic6 | — | 7 | 3 | no | — |
| 318 | C2×C3×C7 | — | 2 | 3 | no | — |
| 319 | C2×C3×C7 | C25 | 1 | 1 | yes | characteristic |
| 320 | D21 | — | 2 | 3 | no | — |
| 321 | D21 | — | 2 | 1 | no | — |
| 322 | C3×D7 | — | 2 | 3 | no | — |
| 323 | C3×D7 | — | 2 | 1 | no | — |
| 324 | D3×C7 | — | 2 | 3 | no | — |
| 325 | D3×C7 | — | 2 | 1 | no | — |
| 326 | 2−1+4 | — | 21 | 1 | no | — |
| 327 | 2−1+4 | — | 21 | 1 | no | — |
| 328 | 2−1+4 | — | 21 | 1 | no | — |
| 329 | 2−1+4 | — | 21 | 3 | no | — |
| 330 | H(5,𝔽2) | — | 21 | 3 | no | — |
| 331 | H(5,𝔽2) | — | 21 | 3 | no | — |
| 332 | H(5,𝔽2) | — | 21 | 3 | no | — |
| 333 | H(5,𝔽2) | — | 21 | 1 | no | — |
| 334 | C2×#41 | — | 3 | 1 | no | — |
| 335 | C2×#41 | — | 7 | 1 | no | — |
| 336 | C2×#41 | — | 21 | 3 | no | — |
| 337 | C2×#41 | — | 21 | 3 | no | — |
| 338 | C2×#41 | — | 21 | 3 | no | — |
| 339 | C2×#41 | — | 21 | 3 | no | — |
| 340 | C2×#41 | — | 21 | 1 | no | — |
| 341 | C22×C7 | — | 3 | 3 | no | — |
| 342 | C22×C7 | — | 3 | 1 | no | — |
| 343 | C22×C7 | — | 12 | 3 | no | — |
| 344 | C22×C7 | C23×D3 | 1 | 3 | yes | — |
| 345 | C2×D7 | — | 3 | 1 | no | — |
| 346 | C2×D7 | — | 3 | 3 | no | — |
| 347 | C2×D7 | — | 4 | 3 | no | — |
| 348 | C2×D7 | — | 12 | 6 | no | — |
| 349 | C2×D7 | — | 12 | 3 | no | — |
| 350 | C2×D7 | C23×D3 | 1 | 3 | yes | — |
| 351 | C2×D7 | C23×D3 | 1 | 1 | yes | characteristic |
| 352 | C4×C7 | — | 3 | 1 | no | — |
| 353 | C4×C7 | — | 3 | 3 | no | — |
| 354 | C4×C7 | C23×D3 | 1 | 3 | yes | — |
| 355 | C4×C7 | C23×D3 | 1 | 1 | yes | characteristic |
| 356 | Dic7 | — | 3 | 3 | no | — |
| 357 | Dic7 | — | 3 | 1 | no | — |
| 358 | Dic7 | C23×D3 | 1 | 1 | yes | characteristic |
| 359 | Dic7 | C23×D3 | 1 | 3 | yes | — |
| 360 | C23×C3 | — | 7 | 3 | no | — |
| 361 | C22×D3 | — | 7 | 3 | no | — |
| 362 | C22×D3 | — | 7 | 6 | no | — |
| 363 | C22×D3 | C22×D7 | 1 | 3 | yes | — |
| 364 | C3×Q8 | — | 7 | 3 | no | — |
| 365 | C3×Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 366 | C3×D4 | — | 7 | 6 | no | — |
| 367 | C3×D4 | — | 7 | 3 | no | — |
| 368 | C3×D4 | C22×D7 | 1 | 3 | yes | — |
| 369 | C2×C3×C4 | — | 7 | 3 | no | — |
| 370 | C2×C3×C4 | — | 7 | 3 | no | — |
| 371 | C2×C3×C4 | — | 7 | 3 | no | — |
| 372 | C2×C3×C4 | — | 7 | 1 | no | — |
| 373 | C2×C3×C4 | — | 7 | 3 | no | — |
| 374 | C2×C3×C4 | C22×D7 | 1 | 3 | yes | — |
| 375 | #67 | — | 7 | 6 | no | — |
| 376 | #67 | — | 7 | 3 | no | — |
| 377 | #67 | — | 7 | 1 | no | — |
| 378 | #67 | — | 7 | 3 | no | — |
| 379 | #67 | — | 7 | 3 | no | — |
| 380 | #67 | — | 7 | 1 | no | — |
| 381 | #67 | — | 7 | 3 | no | — |
| 382 | #67 | — | 7 | 3 | no | — |
| 383 | #67 | — | 7 | 3 | no | — |
| 384 | #67 | C22×D7 | 1 | 6 | yes | — |
| 385 | C2×Dic3 | — | 7 | 3 | no | — |
| 386 | C2×Dic3 | — | 7 | 6 | no | — |
| 387 | C2×Dic3 | C22×D7 | 1 | 3 | yes | — |
| 388 | D12 | — | 7 | 3 | no | — |
| 389 | D12 | — | 7 | 1 | no | — |
| 390 | D12 | — | 7 | 3 | no | — |
| 391 | D12 | — | 7 | 3 | no | — |
| 392 | D12 | — | 7 | 3 | no | — |
| 393 | D12 | C22×D7 | 1 | 3 | yes | — |
| 394 | C4×D3 | — | 7 | 6 | no | — |
| 395 | C4×D3 | — | 7 | 1 | no | — |
| 396 | C4×D3 | — | 7 | 3 | no | — |
| 397 | C4×D3 | — | 7 | 3 | no | — |
| 398 | C4×D3 | — | 7 | 3 | no | — |
| 399 | C4×D3 | — | 7 | 6 | no | — |
| 400 | C4×D3 | C22×D7 | 1 | 3 | yes | — |
| 401 | C4×D3 | C22×D7 | 1 | 1 | yes | characteristic |
| 402 | C4×D3 | C22×D7 | 1 | 3 | yes | — |
| 403 | C4×D3 | C22×D7 | 1 | 3 | yes | — |
| 404 | Dic6 | — | 7 | 3 | no | — |
| 405 | Dic6 | — | 7 | 1 | no | — |
| 406 | Dic6 | — | 7 | 3 | no | — |
| 407 | Dic6 | — | 7 | 3 | no | — |
| 408 | Dic6 | — | 7 | 3 | no | — |
| 409 | Dic6 | C22×D7 | 1 | 3 | yes | — |
| 410 | C3×C7 | #585 | 1 | 1 | yes | characteristic, complemented, Hall |
| 411 | #41 | — | 3 | 1 | no | — |
| 412 | #41 | — | 3 | 3 | no | — |
| 413 | #41 | — | 3 | 3 | no | — |
| 414 | #41 | — | 7 | 1 | no | — |
| 415 | #41 | — | 7 | 3 | no | — |
| 416 | #41 | — | 7 | 3 | no | — |
| 417 | #41 | — | 21 | 1 | no | — |
| 418 | #41 | — | 21 | 3 | no | — |
| 419 | #41 | — | 21 | 3 | no | — |
| 420 | #41 | — | 21 | 3 | no | — |
| 421 | #41 | — | 21 | 3 | no | — |
| 422 | #41 | — | 21 | 3 | no | — |
| 423 | #41 | — | 21 | 3 | no | — |
| 424 | #41 | — | 21 | 3 | no | — |
| 425 | #41 | — | 21 | 6 | no | — |
| 426 | #41 | — | 21 | 3 | no | — |
| 427 | #41 | — | 21 | 3 | no | — |
| 428 | #41 | — | 21 | 6 | no | — |
| 429 | #41 | — | 21 | 3 | no | — |
| 430 | #41 | — | 21 | 3 | no | — |
| 431 | #41 | — | 21 | 6 | no | — |
| 432 | #41 | — | 21 | 3 | no | — |
| 433 | #41 | — | 21 | 3 | no | — |
| 434 | #41 | — | 21 | 1 | no | — |
| 435 | #41 | — | 21 | 3 | no | — |
| 436 | #41 | — | 21 | 3 | no | — |
| 437 | #41 | D3×D7 | 1 | 1 | yes | characteristic, complemented |
| 438 | C2×Q8 | — | 3 | 1 | no | — |
| 439 | C2×Q8 | — | 7 | 1 | no | — |
| 440 | C2×Q8 | — | 21 | 3 | no | — |
| 441 | C2×Q8 | — | 21 | 3 | no | — |
| 442 | C2×Q8 | — | 21 | 3 | no | — |
| 443 | C2×Q8 | — | 21 | 3 | no | — |
| 444 | C2×Q8 | — | 21 | 1 | no | — |
| 445 | C2×D4 | — | 3 | 3 | no | — |
| 446 | C2×D4 | — | 7 | 3 | no | — |
| 447 | C2×D4 | — | 21 | 3 | no | — |
| 448 | C2×D4 | — | 21 | 3 | no | — |
| 449 | C2×D4 | — | 21 | 3 | no | — |
| 450 | C2×D4 | — | 21 | 3 | no | — |
| 451 | C2×D4 | — | 21 | 6 | no | — |
| 452 | C2×D4 | — | 21 | 3 | no | — |
| 453 | C2×D4 | — | 21 | 6 | no | — |
| 454 | C2×D4 | — | 21 | 6 | no | — |
| 455 | C2×D4 | — | 21 | 3 | no | — |
| 456 | C2×D4 | — | 21 | 3 | no | — |
| 457 | C22×C4 | — | 3 | 3 | no | — |
| 458 | C22×C4 | — | 7 | 3 | no | — |
| 459 | C22×C4 | — | 21 | 6 | no | — |
| 460 | C22×C4 | — | 21 | 3 | no | — |
| 461 | C2×C7 | — | 2 | 3 | no | — |
| 462 | C2×C7 | — | 6 | 3 | no | — |
| 463 | C2×C7 | — | 6 | 1 | no | — |
| 464 | C2×C7 | C24×D3 | 1 | 1 | yes | characteristic |
| 465 | D7 | — | 2 | 1 | no | — |
| 466 | D7 | — | 2 | 3 | no | — |
| 467 | D7 | — | 6 | 3 | no | — |
| 468 | D7 | — | 6 | 1 | no | — |
| 469 | C22×C3 | — | 7 | 3 | no | — |
| 470 | C22×C3 | — | 7 | 1 | no | — |
| 471 | C22×C3 | — | 28 | 3 | no | — |
| 472 | C22×C3 | C23×D7 | 1 | 3 | yes | — |
| 473 | C2×D3 | — | 4 | 3 | no | — |
| 474 | C2×D3 | — | 7 | 1 | no | — |
| 475 | C2×D3 | — | 7 | 3 | no | — |
| 476 | C2×D3 | — | 28 | 6 | no | — |
| 477 | C2×D3 | — | 28 | 3 | no | — |
| 478 | C2×D3 | C23×D7 | 1 | 3 | yes | — |
| 479 | C2×D3 | C23×D7 | 1 | 1 | yes | characteristic |
| 480 | C3×C4 | — | 7 | 1 | no | — |
| 481 | C3×C4 | — | 7 | 3 | no | — |
| 482 | C3×C4 | C23×D7 | 1 | 3 | yes | — |
| 483 | C3×C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 484 | Dic3 | — | 7 | 3 | no | — |
| 485 | Dic3 | — | 7 | 1 | no | — |
| 486 | Dic3 | C23×D7 | 1 | 1 | yes | characteristic |
| 487 | Dic3 | C23×D7 | 1 | 3 | yes | — |
| 488 | C23 | — | 3 | 3 | no | — |
| 489 | C23 | — | 7 | 3 | no | — |
| 490 | C23 | — | 21 | 6 | no | — |
| 491 | C23 | — | 21 | 3 | no | — |
| 492 | Q8 | — | 3 | 3 | no | — |
| 493 | Q8 | — | 7 | 3 | no | — |
| 494 | Q8 | — | 21 | 1 | no | — |
| 495 | Q8 | — | 21 | 3 | no | — |
| 496 | Q8 | — | 21 | 3 | no | — |
| 497 | Q8 | — | 21 | 3 | no | — |
| 498 | Q8 | — | 21 | 3 | no | — |
| 499 | Q8 | C2×D3×D7 | 1 | 1 | yes | characteristic |
| 500 | D4 | — | 3 | 6 | no | — |
| 501 | D4 | — | 3 | 3 | no | — |
| 502 | D4 | — | 7 | 6 | no | — |
| 503 | D4 | — | 7 | 3 | no | — |
| 504 | D4 | — | 21 | 1 | no | — |
| 505 | D4 | — | 21 | 3 | no | — |
| 506 | D4 | — | 21 | 3 | no | — |
| 507 | D4 | — | 21 | 3 | no | — |
| 508 | D4 | — | 21 | 1 | no | — |
| 509 | D4 | — | 21 | 3 | no | — |
| 510 | D4 | — | 21 | 3 | no | — |
| 511 | D4 | — | 21 | 3 | no | — |
| 512 | D4 | — | 21 | 1 | no | — |
| 513 | D4 | — | 21 | 3 | no | — |
| 514 | D4 | — | 21 | 3 | no | — |
| 515 | D4 | — | 21 | 3 | no | — |
| 516 | D4 | — | 21 | 6 | no | — |
| 517 | D4 | — | 21 | 3 | no | — |
| 518 | D4 | C2×D3×D7 | 1 | 3 | yes | — |
| 519 | C2×C4 | — | 3 | 3 | no | — |
| 520 | C2×C4 | — | 3 | 3 | no | — |
| 521 | C2×C4 | — | 3 | 3 | no | — |
| 522 | C2×C4 | — | 3 | 1 | no | — |
| 523 | C2×C4 | — | 3 | 3 | no | — |
| 524 | C2×C4 | — | 7 | 3 | no | — |
| 525 | C2×C4 | — | 7 | 3 | no | — |
| 526 | C2×C4 | — | 7 | 3 | no | — |
| 527 | C2×C4 | — | 7 | 1 | no | — |
| 528 | C2×C4 | — | 7 | 3 | no | — |
| 529 | C2×C4 | — | 21 | 6 | no | — |
| 530 | C2×C4 | — | 21 | 6 | no | — |
| 531 | C2×C4 | — | 21 | 6 | no | — |
| 532 | C2×C4 | — | 21 | 3 | no | — |
| 533 | C2×C4 | — | 21 | 3 | no | — |
| 534 | C2×C4 | — | 21 | 3 | no | — |
| 535 | C2×C4 | — | 21 | 3 | no | — |
| 536 | C2×C4 | — | 21 | 1 | no | — |
| 537 | C2×C4 | C2×D3×D7 | 1 | 3 | yes | — |
| 538 | C7 | #5964 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 539 | C2×C3 | — | 2 | 3 | no | — |
| 540 | C2×C3 | — | 14 | 3 | no | — |
| 541 | C2×C3 | — | 14 | 1 | no | — |
| 542 | C2×C3 | C24×D7 | 1 | 1 | yes | characteristic |
| 543 | D3 | — | 2 | 1 | no | — |
| 544 | D3 | — | 2 | 3 | no | — |
| 545 | D3 | — | 14 | 3 | no | — |
| 546 | D3 | — | 14 | 1 | no | — |
| 547 | C22 | — | 3 | 1 | no | — |
| 548 | C22 | — | 3 | 3 | no | — |
| 549 | C22 | — | 7 | 1 | no | — |
| 550 | C22 | — | 7 | 3 | no | — |
| 551 | C22 | — | 12 | 3 | no | — |
| 552 | C22 | — | 21 | 3 | no | — |
| 553 | C22 | — | 21 | 1 | no | — |
| 554 | C22 | — | 28 | 3 | no | — |
| 555 | C22 | — | 84 | 3 | no | — |
| 556 | C22 | — | 84 | 6 | no | — |
| 557 | C22 | C22×D3×D7 | 1 | 3 | yes | — |
| 558 | C4 | — | 3 | 1 | no | — |
| 559 | C4 | — | 3 | 3 | no | — |
| 560 | C4 | — | 7 | 1 | no | — |
| 561 | C4 | — | 7 | 3 | no | — |
| 562 | C4 | — | 21 | 3 | no | — |
| 563 | C4 | — | 21 | 1 | no | — |
| 564 | C4 | C22×D3×D7 | 1 | 3 | yes | — |
| 565 | C4 | C22×D3×D7 | 1 | 1 | yes | characteristic |
| 566 | C3 | #90616 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 567 | C2 | — | 2 | 3 | no | — |
| 568 | C2 | — | 6 | 1 | no | — |
| 569 | C2 | — | 6 | 3 | no | — |
| 570 | C2 | — | 14 | 1 | no | — |
| 571 | C2 | — | 14 | 3 | no | — |
| 572 | C2 | — | 42 | 1 | no | — |
| 573 | C2 | — | 42 | 3 | no | — |
| 574 | C2 | C23×D3×D7 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta