| 1 | #10621582 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10621573 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10621397 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C7×#916 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#6477 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10621083 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10621078 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10621066 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10621043 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10621042 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | D7×#213 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10620829 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10620820 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | D3×D56 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10620811 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #90460 | — | 3 | 1 | no | maximal, Hall |
| 17 | #66732 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | D4×D21 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C7×#239 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C7×#237 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C3×#1161 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C3×D4×D7 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #66694 | — | 2 | 1 | no | — |
| 24 | D7×#67 | — | 2 | 1 | no | — |
| 25 | C2×#4246 | — | 2 | 1 | no | — |
| 26 | #66683 | — | 2 | 1 | no | — |
| 27 | #66681 | — | 2 | 1 | no | — |
| 28 | #66681 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | D3×D28 | — | 2 | 1 | no | — |
| 30 | D3×D28 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | D3×D28 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | D7×D12 | — | 2 | 1 | no | — |
| 33 | D7×D12 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #66677 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #66675 | — | 2 | 1 | no | — |
| 36 | #66675 | C22 | 1 | 1 | yes | characteristic |
| 37 | #66670 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | C3×C7×SD16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #66634 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #66632 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | D168 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #66622 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C7×#216 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | C7×#213 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C7×#204 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | D3×C7×C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | C3×#1143 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | C3×#1141 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C3×D56 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | C3×#1131 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #66568 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #66563 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #66562 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #66561 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #66561 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #66560 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #66558 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | D21⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | D7×C3⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #6553 | — | 3 | 1 | no | — |
| 61 | #6553 | — | 3 | 1 | no | — |
| 62 | C7×#135 | — | 3 | 1 | no | — |
| 63 | #6512 | — | 3 | 1 | no | — |
| 64 | #6512 | — | 3 | 1 | no | — |
| 65 | #6482 | — | 3 | 1 | no | — |
| 66 | #6482 | — | 3 | 1 | no | — |
| 67 | #6477 | — | 3 | 1 | no | — |
| 68 | #6477 | — | 3 | 1 | no | — |
| 69 | #6477 | — | 3 | 1 | no | — |
| 70 | #6477 | D3 | 1 | 1 | yes | characteristic, complemented |
| 71 | D7×D8 | — | 3 | 1 | no | — |
| 72 | D7×D8 | — | 3 | 1 | no | — |
| 73 | C2×D56 | — | 3 | 1 | no | — |
| 74 | #6464 | — | 3 | 1 | no | — |
| 75 | #5774 | — | 7 | 1 | no | maximal, Hall |
| 76 | C22×D21 | — | 2 | 1 | no | — |
| 77 | C22×C3×D7 | — | 2 | 1 | no | — |
| 78 | C2×D3×D7 | — | 2 | 1 | no | — |
| 79 | C2×D3×D7 | — | 2 | 1 | no | — |
| 80 | C2×D3×D7 | — | 2 | 1 | no | — |
| 81 | C2×D3×D7 | — | 2 | 1 | no | — |
| 82 | C3×C7×Q8 | C23 | 1 | 1 | yes | characteristic |
| 83 | C3×C7×D4 | C23 | 1 | 1 | yes | characteristic |
| 84 | #4268 | — | 2 | 1 | no | — |
| 85 | D84 | — | 2 | 1 | no | — |
| 86 | D84 | C23 | 1 | 1 | yes | characteristic |
| 87 | D84 | C23 | 1 | 1 | yes | characteristic |
| 88 | C4×D21 | — | 2 | 1 | no | — |
| 89 | C4×D21 | C23 | 1 | 1 | yes | characteristic |
| 90 | C7×#67 | — | 2 | 1 | no | — |
| 91 | C2×C7×Dic3 | — | 2 | 1 | no | — |
| 92 | C7×D12 | — | 2 | 1 | no | — |
| 93 | C7×D12 | C23 | 1 | 1 | yes | characteristic |
| 94 | C4×D3×C7 | — | 2 | 1 | no | — |
| 95 | C4×D3×C7 | C23 | 1 | 1 | yes | characteristic |
| 96 | C7×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 97 | C3×C22⋊D7 | — | 2 | 1 | no | — |
| 98 | C3×D28 | — | 2 | 1 | no | — |
| 99 | C3×D28 | C23 | 1 | 1 | yes | characteristic |
| 100 | C3×D28 | C23 | 1 | 1 | yes | characteristic |
| 101 | C3×C4×D7 | — | 2 | 1 | no | — |
| 102 | C3×C4×D7 | C23 | 1 | 1 | yes | characteristic |
| 103 | #4248 | D4 | 1 | 1 | yes | characteristic |
| 104 | #4247 | — | 2 | 1 | no | — |
| 105 | #4247 | D4 | 1 | 1 | yes | characteristic |
| 106 | #4246 | — | 2 | 1 | no | — |
| 107 | #4246 | — | 2 | 1 | no | — |
| 108 | #4246 | — | 2 | 1 | no | — |
| 109 | #4246 | — | 2 | 1 | no | — |
| 110 | #4246 | D4 | 1 | 1 | yes | characteristic |
| 111 | #4245 | — | 2 | 1 | no | — |
| 112 | #4245 | D4 | 1 | 1 | yes | characteristic |
| 113 | D21⋊C4 | — | 2 | 1 | no | — |
| 114 | Dic3×D7 | — | 2 | 1 | no | — |
| 115 | C3×C7×C8 | C23 | 1 | 1 | yes | characteristic |
| 116 | C3⋊(C7⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 117 | C3×C7⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 118 | C7×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 119 | C7×#41 | — | 3 | 1 | no | — |
| 120 | C7×#41 | — | 3 | 1 | no | — |
| 121 | #1161 | — | 3 | 1 | no | — |
| 122 | #1161 | — | 3 | 1 | no | — |
| 123 | #1161 | — | 3 | 1 | no | — |
| 124 | #1161 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 125 | D4×D7 | — | 3 | 1 | no | — |
| 126 | D4×D7 | — | 3 | 1 | no | — |
| 127 | D4×D7 | — | 3 | 1 | no | — |
| 128 | D4×D7 | — | 6 | 1 | no | — |
| 129 | D4×D7 | — | 6 | 1 | no | — |
| 130 | D4×D7 | — | 6 | 1 | no | — |
| 131 | D4×D7 | — | 6 | 1 | no | — |
| 132 | D4×D7 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 133 | #1157 | — | 3 | 1 | no | — |
| 134 | #1157 | — | 6 | 1 | no | — |
| 135 | #1157 | — | 6 | 1 | no | — |
| 136 | C2×D28 | — | 3 | 1 | no | — |
| 137 | C2×D28 | — | 3 | 1 | no | — |
| 138 | C2×D28 | — | 6 | 1 | no | — |
| 139 | C2×D28 | — | 6 | 1 | no | — |
| 140 | C7×Q16 | — | 3 | 1 | no | — |
| 141 | C7×SD16 | — | 3 | 1 | no | — |
| 142 | C7×SD16 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 143 | C7×D8 | — | 3 | 1 | no | — |
| 144 | C2×C7×C8 | — | 3 | 1 | no | — |
| 145 | #1143 | — | 3 | 1 | no | — |
| 146 | #1143 | — | 3 | 1 | no | — |
| 147 | #1143 | — | 3 | 1 | no | — |
| 148 | #1143 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 149 | #1141 | — | 3 | 1 | no | — |
| 150 | #1141 | — | 3 | 1 | no | — |
| 151 | #1141 | — | 3 | 1 | no | — |
| 152 | #1141 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 153 | #1136 | — | 3 | 1 | no | — |
| 154 | D56 | — | 3 | 1 | no | — |
| 155 | D56 | — | 3 | 1 | no | — |
| 156 | D56 | — | 3 | 1 | no | — |
| 157 | D56 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 158 | #1131 | — | 3 | 1 | no | — |
| 159 | #1131 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 160 | C8×D7 | — | 3 | 1 | no | — |
| 161 | C8×D7 | — | 3 | 1 | no | — |
| 162 | #1009 | — | 7 | 1 | no | — |
| 163 | #1004 | — | 7 | 1 | no | — |
| 164 | C3×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 165 | #950 | — | 7 | 1 | no | — |
| 166 | C2×#213 | — | 7 | 1 | no | — |
| 167 | #916 | — | 7 | 1 | no | — |
| 168 | #916 | D7 | 1 | 1 | yes | characteristic, complemented |
| 169 | #914 | — | 7 | 1 | no | — |
| 170 | #914 | — | 7 | 1 | no | — |
| 171 | #911 | — | 7 | 1 | no | — |
| 172 | #911 | — | 7 | 1 | no | — |
| 173 | D3×D8 | — | 7 | 1 | no | — |
| 174 | D3×D8 | — | 7 | 1 | no | — |
| 175 | #908 | — | 7 | 1 | no | — |
| 176 | #907 | — | 7 | 1 | no | — |
| 177 | C22×C3×C7 | — | 2 | 1 | no | — |
| 178 | C2×D21 | — | 2 | 1 | no | — |
| 179 | C2×D21 | — | 2 | 1 | no | — |
| 180 | C2×D21 | — | 8 | 1 | no | — |
| 181 | C2×D21 | C2×D4 | 1 | 1 | yes | characteristic |
| 182 | C2×D3×C7 | — | 2 | 1 | no | — |
| 183 | C2×D3×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 184 | C2×C3×D7 | — | 2 | 1 | no | — |
| 185 | C2×C3×D7 | — | 2 | 1 | no | — |
| 186 | C2×C3×D7 | — | 8 | 1 | no | — |
| 187 | C2×C3×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 188 | D3×D7 | — | 8 | 1 | no | — |
| 189 | D3×D7 | — | 8 | 1 | no | — |
| 190 | D3×D7 | — | 8 | 1 | no | — |
| 191 | D3×D7 | — | 8 | 1 | no | — |
| 192 | C3×C4×C7 | — | 2 | 1 | no | — |
| 193 | C3×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 194 | Dic21 | C2×D4 | 1 | 1 | yes | characteristic |
| 195 | C3×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 196 | C7×Dic3 | — | 2 | 1 | no | — |
| 197 | C7×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 198 | #576 | — | 21 | 1 | no | Sylow |
| 199 | C22×D7 | — | 2 | 1 | no | — |
| 200 | C22×D7 | — | 6 | 1 | no | — |
| 201 | C22×D7 | — | 6 | 1 | no | — |
| 202 | C22×D7 | — | 6 | 1 | no | — |
| 203 | C22×D7 | — | 6 | 1 | no | — |
| 204 | C22×D7 | — | 6 | 1 | no | — |
| 205 | C7×Q8 | — | 3 | 1 | no | — |
| 206 | C7×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 207 | C7×D4 | — | 3 | 1 | no | — |
| 208 | C7×D4 | — | 6 | 1 | no | — |
| 209 | C7×D4 | — | 6 | 1 | no | — |
| 210 | C7×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 211 | C2×C4×C7 | — | 3 | 1 | no | — |
| 212 | C2×C4×C7 | — | 6 | 1 | no | — |
| 213 | C2×C4×C7 | — | 6 | 1 | no | — |
| 214 | C22⋊D7 | — | 2 | 1 | no | — |
| 215 | C22⋊D7 | — | 3 | 1 | no | — |
| 216 | C22⋊D7 | — | 3 | 1 | no | — |
| 217 | C22⋊D7 | — | 6 | 1 | no | — |
| 218 | C22⋊D7 | — | 6 | 1 | no | — |
| 219 | C22⋊D7 | — | 6 | 1 | no | — |
| 220 | D28 | — | 2 | 1 | no | — |
| 221 | D28 | — | 3 | 1 | no | — |
| 222 | D28 | — | 3 | 1 | no | — |
| 223 | D28 | — | 3 | 1 | no | — |
| 224 | D28 | — | 6 | 1 | no | — |
| 225 | D28 | — | 6 | 1 | no | — |
| 226 | D28 | — | 6 | 1 | no | — |
| 227 | D28 | — | 6 | 1 | no | — |
| 228 | D28 | — | 6 | 1 | no | — |
| 229 | D28 | C22×D3 | 1 | 1 | yes | characteristic |
| 230 | D28 | C22×D3 | 1 | 1 | yes | characteristic |
| 231 | C4×D7 | — | 2 | 1 | no | — |
| 232 | C4×D7 | — | 3 | 1 | no | — |
| 233 | C4×D7 | — | 6 | 1 | no | — |
| 234 | C4×D7 | — | 6 | 1 | no | — |
| 235 | C4×D7 | — | 6 | 1 | no | — |
| 236 | C4×D7 | C22×D3 | 1 | 1 | yes | characteristic |
| 237 | Dic14 | — | 3 | 1 | no | — |
| 238 | C7×C8 | — | 3 | 1 | no | — |
| 239 | C7×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 240 | C7⋊C8 | — | 3 | 1 | no | — |
| 241 | C7⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 242 | C3×#41 | — | 7 | 1 | no | — |
| 243 | C2×C3×D4 | — | 7 | 1 | no | — |
| 244 | C2×#67 | — | 14 | 1 | no | — |
| 245 | C2×#67 | — | 14 | 1 | no | — |
| 246 | #239 | — | 7 | 1 | no | — |
| 247 | #239 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 248 | #237 | — | 7 | 1 | no | — |
| 249 | #237 | — | 14 | 1 | no | — |
| 250 | #237 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 251 | D3×D4 | — | 7 | 1 | no | — |
| 252 | D3×D4 | — | 7 | 1 | no | — |
| 253 | D3×D4 | — | 7 | 1 | no | — |
| 254 | D3×D4 | — | 7 | 1 | no | — |
| 255 | D3×D4 | — | 14 | 1 | no | — |
| 256 | D3×D4 | — | 14 | 1 | no | — |
| 257 | D3×D4 | — | 14 | 1 | no | — |
| 258 | #235 | — | 7 | 1 | no | — |
| 259 | #235 | — | 7 | 1 | no | — |
| 260 | #235 | — | 14 | 1 | no | — |
| 261 | C2×D12 | — | 7 | 1 | no | — |
| 262 | C2×D12 | — | 14 | 1 | no | — |
| 263 | C3×SD16 | — | 7 | 1 | no | — |
| 264 | C3×SD16 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 265 | C3×D8 | — | 7 | 1 | no | — |
| 266 | C3×D8 | — | 7 | 1 | no | — |
| 267 | C3×M16 | — | 7 | 1 | no | — |
| 268 | #216 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 269 | #215 | — | 7 | 1 | no | — |
| 270 | #214 | — | 7 | 1 | no | — |
| 271 | #213 | — | 7 | 1 | no | — |
| 272 | #213 | — | 7 | 1 | no | — |
| 273 | #213 | — | 7 | 1 | no | — |
| 274 | #213 | — | 7 | 1 | no | — |
| 275 | #213 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 276 | C2×C3⋊C8 | — | 7 | 1 | no | — |
| 277 | D24 | — | 7 | 1 | no | — |
| 278 | D24 | — | 7 | 1 | no | — |
| 279 | #204 | — | 7 | 1 | no | — |
| 280 | #204 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 281 | ΓL(1,𝔽25) | — | 7 | 1 | no | — |
| 282 | ΓL(1,𝔽25) | — | 7 | 1 | no | — |
| 283 | D3×C8 | — | 7 | 1 | no | — |
| 284 | D3×C8 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 285 | C2×C3×C7 | — | 4 | 1 | no | — |
| 286 | C2×C3×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 287 | D21 | — | 2 | 1 | no | — |
| 288 | D21 | — | 4 | 1 | no | — |
| 289 | D21 | — | 4 | 1 | no | — |
| 290 | C3×D7 | — | 2 | 1 | no | — |
| 291 | C3×D7 | — | 4 | 1 | no | — |
| 292 | C3×D7 | — | 4 | 1 | no | — |
| 293 | D3×C7 | — | 2 | 1 | no | — |
| 294 | D3×C7 | — | 4 | 1 | no | — |
| 295 | H(5,𝔽2) | — | 21 | 1 | no | — |
| 296 | H(5,𝔽2) | — | 21 | 1 | no | — |
| 297 | AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 298 | AGL(1,ℤ/8) | — | 21 | 1 | no | — |
| 299 | AGL(1,ℤ/8) | — | 21 | 1 | no | — |
| 300 | AGL(1,ℤ/8) | — | 21 | 1 | no | — |
| 301 | AGL(1,ℤ/8) | — | 21 | 1 | no | — |
| 302 | AGL(1,ℤ/8) | — | 21 | 1 | no | — |
| 303 | #135 | — | 3 | 1 | no | — |
| 304 | #135 | — | 21 | 1 | no | — |
| 305 | #135 | — | 21 | 1 | no | — |
| 306 | C2×D8 | — | 21 | 1 | no | — |
| 307 | C2×D8 | — | 21 | 1 | no | — |
| 308 | C2×D8 | — | 21 | 1 | no | — |
| 309 | #131 | — | 21 | 1 | no | — |
| 310 | C22×C7 | — | 2 | 1 | no | — |
| 311 | C22×C7 | — | 3 | 1 | no | — |
| 312 | C22×C7 | — | 6 | 1 | no | — |
| 313 | C2×D7 | — | 2 | 1 | no | — |
| 314 | C2×D7 | — | 2 | 1 | no | — |
| 315 | C2×D7 | — | 3 | 1 | no | — |
| 316 | C2×D7 | — | 6 | 1 | no | — |
| 317 | C2×D7 | — | 6 | 1 | no | — |
| 318 | C2×D7 | — | 8 | 1 | no | — |
| 319 | C2×D7 | — | 24 | 1 | no | — |
| 320 | C2×D7 | — | 24 | 1 | no | — |
| 321 | C2×D7 | — | 24 | 1 | no | — |
| 322 | C2×D7 | — | 24 | 1 | no | — |
| 323 | C2×D7 | — | 24 | 1 | no | — |
| 324 | C2×D7 | D3×D4 | 1 | 1 | yes | characteristic |
| 325 | C4×C7 | — | 2 | 1 | no | — |
| 326 | C4×C7 | — | 3 | 1 | no | — |
| 327 | C4×C7 | — | 6 | 1 | no | — |
| 328 | C4×C7 | C23×D3 | 1 | 1 | yes | characteristic |
| 329 | Dic7 | — | 3 | 1 | no | — |
| 330 | Dic7 | D3×D4 | 1 | 1 | yes | characteristic |
| 331 | C23×C3 | — | 14 | 1 | no | — |
| 332 | C22×D3 | — | 14 | 1 | no | — |
| 333 | C22×D3 | — | 14 | 1 | no | — |
| 334 | C22×D3 | — | 14 | 1 | no | — |
| 335 | C22×D3 | — | 14 | 1 | no | — |
| 336 | C22×D3 | — | 14 | 1 | no | — |
| 337 | C3×Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 338 | C3×D4 | — | 7 | 1 | no | — |
| 339 | C3×D4 | — | 7 | 1 | no | — |
| 340 | C3×D4 | — | 14 | 1 | no | — |
| 341 | C3×D4 | — | 14 | 1 | no | — |
| 342 | C3×D4 | C22×D7 | 1 | 1 | yes | characteristic |
| 343 | C2×C3×C4 | — | 7 | 1 | no | — |
| 344 | C2×C3×C4 | — | 14 | 1 | no | — |
| 345 | #67 | — | 2 | 1 | no | — |
| 346 | #67 | — | 7 | 1 | no | — |
| 347 | #67 | — | 7 | 1 | no | — |
| 348 | #67 | — | 14 | 1 | no | — |
| 349 | #67 | — | 14 | 1 | no | — |
| 350 | #67 | — | 14 | 1 | no | — |
| 351 | #67 | — | 14 | 1 | no | — |
| 352 | #67 | — | 14 | 1 | no | — |
| 353 | #67 | — | 14 | 1 | no | — |
| 354 | C2×Dic3 | — | 2 | 1 | no | — |
| 355 | C2×Dic3 | — | 14 | 1 | no | — |
| 356 | D12 | — | 2 | 1 | no | — |
| 357 | D12 | — | 7 | 1 | no | — |
| 358 | D12 | — | 7 | 1 | no | — |
| 359 | D12 | — | 7 | 1 | no | — |
| 360 | D12 | — | 14 | 1 | no | — |
| 361 | D12 | — | 14 | 1 | no | — |
| 362 | D12 | C22×D7 | 1 | 1 | yes | characteristic |
| 363 | C4×D3 | — | 2 | 1 | no | — |
| 364 | C4×D3 | — | 7 | 1 | no | — |
| 365 | C4×D3 | — | 14 | 1 | no | — |
| 366 | C4×D3 | — | 14 | 1 | no | — |
| 367 | C4×D3 | C22×D7 | 1 | 1 | yes | characteristic |
| 368 | Dic6 | — | 7 | 1 | no | — |
| 369 | Dic6 | C22×D7 | 1 | 1 | yes | characteristic |
| 370 | C3×C8 | — | 7 | 1 | no | — |
| 371 | C3×C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 372 | C3⋊C8 | — | 7 | 1 | no | — |
| 373 | C3⋊C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 374 | C3×C7 | #576 | 1 | 1 | yes | characteristic, complemented, Hall |
| 375 | #41 | — | 3 | 1 | no | — |
| 376 | #41 | — | 3 | 1 | no | — |
| 377 | #41 | — | 7 | 1 | no | — |
| 378 | #41 | — | 21 | 1 | no | — |
| 379 | #41 | — | 21 | 1 | no | — |
| 380 | #41 | — | 21 | 1 | no | — |
| 381 | #41 | — | 21 | 1 | no | — |
| 382 | #41 | — | 42 | 1 | no | — |
| 383 | #41 | — | 42 | 1 | no | — |
| 384 | C2×D4 | — | 7 | 1 | no | — |
| 385 | C2×D4 | — | 21 | 1 | no | — |
| 386 | C2×D4 | — | 21 | 1 | no | — |
| 387 | C2×D4 | — | 21 | 1 | no | — |
| 388 | C2×D4 | — | 21 | 1 | no | — |
| 389 | C2×D4 | — | 21 | 1 | no | — |
| 390 | C2×D4 | — | 42 | 1 | no | — |
| 391 | C2×D4 | — | 42 | 1 | no | — |
| 392 | C2×D4 | — | 42 | 1 | no | — |
| 393 | C2×D4 | — | 42 | 1 | no | — |
| 394 | C2×D4 | — | 42 | 1 | no | — |
| 395 | C2×D4 | — | 42 | 1 | no | — |
| 396 | Q16 | — | 3 | 1 | no | — |
| 397 | SD16 | — | 3 | 1 | no | — |
| 398 | SD16 | — | 7 | 1 | no | — |
| 399 | SD16 | — | 21 | 1 | no | — |
| 400 | SD16 | — | 21 | 1 | no | — |
| 401 | SD16 | — | 21 | 1 | no | — |
| 402 | SD16 | D3×D7 | 1 | 1 | yes | characteristic, complemented |
| 403 | D8 | — | 3 | 1 | no | — |
| 404 | D8 | — | 7 | 1 | no | — |
| 405 | D8 | — | 7 | 1 | no | — |
| 406 | D8 | — | 21 | 1 | no | — |
| 407 | D8 | — | 21 | 1 | no | — |
| 408 | D8 | — | 21 | 1 | no | — |
| 409 | D8 | — | 21 | 1 | no | — |
| 410 | D8 | — | 21 | 1 | no | — |
| 411 | D8 | — | 21 | 1 | no | — |
| 412 | M16 | — | 7 | 1 | no | — |
| 413 | M16 | — | 21 | 1 | no | — |
| 414 | M16 | — | 21 | 1 | no | — |
| 415 | C2×C8 | — | 3 | 1 | no | — |
| 416 | C2×C8 | — | 21 | 1 | no | — |
| 417 | C2×C8 | — | 21 | 1 | no | — |
| 418 | C2×C7 | — | 4 | 1 | no | — |
| 419 | C2×C7 | — | 6 | 1 | no | — |
| 420 | C2×C7 | — | 12 | 1 | no | — |
| 421 | C2×C7 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 422 | D7 | — | 2 | 1 | no | — |
| 423 | D7 | — | 4 | 1 | no | — |
| 424 | D7 | — | 4 | 1 | no | — |
| 425 | D7 | — | 6 | 1 | no | — |
| 426 | D7 | — | 12 | 1 | no | — |
| 427 | D7 | — | 12 | 1 | no | — |
| 428 | C22×C3 | — | 2 | 1 | no | — |
| 429 | C22×C3 | — | 7 | 1 | no | — |
| 430 | C22×C3 | — | 14 | 1 | no | — |
| 431 | C22×C3 | — | 14 | 1 | no | — |
| 432 | C22×C3 | — | 56 | 1 | no | — |
| 433 | C2×D3 | — | 2 | 1 | no | — |
| 434 | C2×D3 | — | 7 | 1 | no | — |
| 435 | C2×D3 | — | 14 | 1 | no | — |
| 436 | C2×D3 | — | 14 | 1 | no | — |
| 437 | C2×D3 | — | 56 | 1 | no | — |
| 438 | C2×D3 | — | 56 | 1 | no | — |
| 439 | C2×D3 | — | 56 | 1 | no | — |
| 440 | C2×D3 | — | 56 | 1 | no | — |
| 441 | C2×D3 | — | 56 | 1 | no | — |
| 442 | C2×D3 | D4×D7 | 1 | 1 | yes | characteristic |
| 443 | C3×C4 | — | 2 | 1 | no | — |
| 444 | C3×C4 | — | 7 | 1 | no | — |
| 445 | C3×C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 446 | Dic3 | — | 2 | 1 | no | — |
| 447 | Dic3 | — | 7 | 1 | no | — |
| 448 | Dic3 | D4×D7 | 1 | 1 | yes | characteristic |
| 449 | C23 | — | 14 | 1 | no | — |
| 450 | C23 | — | 42 | 1 | no | — |
| 451 | C23 | — | 42 | 1 | no | — |
| 452 | C23 | — | 42 | 1 | no | — |
| 453 | C23 | — | 42 | 1 | no | — |
| 454 | C23 | — | 42 | 1 | no | — |
| 455 | Q8 | — | 3 | 1 | no | — |
| 456 | Q8 | — | 21 | 1 | no | — |
| 457 | Q8 | C2×D3×D7 | 1 | 1 | yes | characteristic |
| 458 | D4 | — | 3 | 1 | no | — |
| 459 | D4 | — | 6 | 1 | no | — |
| 460 | D4 | — | 6 | 1 | no | — |
| 461 | D4 | — | 7 | 1 | no | — |
| 462 | D4 | — | 7 | 1 | no | — |
| 463 | D4 | — | 14 | 1 | no | — |
| 464 | D4 | — | 14 | 1 | no | — |
| 465 | D4 | — | 21 | 1 | no | — |
| 466 | D4 | — | 21 | 1 | no | — |
| 467 | D4 | — | 21 | 1 | no | — |
| 468 | D4 | — | 21 | 1 | no | — |
| 469 | D4 | — | 21 | 1 | no | — |
| 470 | D4 | — | 42 | 1 | no | — |
| 471 | D4 | — | 42 | 1 | no | — |
| 472 | D4 | — | 42 | 1 | no | — |
| 473 | D4 | — | 42 | 1 | no | — |
| 474 | D4 | — | 42 | 1 | no | — |
| 475 | D4 | — | 42 | 1 | no | — |
| 476 | D4 | — | 42 | 1 | no | — |
| 477 | D4 | — | 42 | 1 | no | — |
| 478 | D4 | C2×D3×D7 | 1 | 1 | yes | characteristic |
| 479 | C2×C4 | — | 3 | 1 | no | — |
| 480 | C2×C4 | — | 6 | 1 | no | — |
| 481 | C2×C4 | — | 6 | 1 | no | — |
| 482 | C2×C4 | — | 7 | 1 | no | — |
| 483 | C2×C4 | — | 14 | 1 | no | — |
| 484 | C2×C4 | — | 21 | 1 | no | — |
| 485 | C2×C4 | — | 42 | 1 | no | — |
| 486 | C2×C4 | — | 42 | 1 | no | — |
| 487 | C2×C4 | — | 42 | 1 | no | — |
| 488 | C8 | — | 3 | 1 | no | — |
| 489 | C8 | — | 7 | 1 | no | — |
| 490 | C8 | — | 21 | 1 | no | — |
| 491 | C8 | C2×D3×D7 | 1 | 1 | yes | characteristic |
| 492 | C7 | #5774 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 493 | C2×C3 | — | 4 | 1 | no | — |
| 494 | C2×C3 | — | 14 | 1 | no | — |
| 495 | C2×C3 | — | 28 | 1 | no | — |
| 496 | C2×C3 | — | 28 | 1 | no | — |
| 497 | C2×C3 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 498 | D3 | — | 2 | 1 | no | — |
| 499 | D3 | — | 4 | 1 | no | — |
| 500 | D3 | — | 14 | 1 | no | — |
| 501 | D3 | — | 28 | 1 | no | — |
| 502 | D3 | — | 28 | 1 | no | — |
| 503 | C22 | — | 2 | 1 | no | — |
| 504 | C22 | — | 3 | 1 | no | — |
| 505 | C22 | — | 6 | 1 | no | — |
| 506 | C22 | — | 7 | 1 | no | — |
| 507 | C22 | — | 14 | 1 | no | — |
| 508 | C22 | — | 14 | 1 | no | — |
| 509 | C22 | — | 21 | 1 | no | — |
| 510 | C22 | — | 42 | 1 | no | — |
| 511 | C22 | — | 42 | 1 | no | — |
| 512 | C22 | — | 56 | 1 | no | — |
| 513 | C22 | — | 168 | 1 | no | — |
| 514 | C22 | — | 168 | 1 | no | — |
| 515 | C22 | — | 168 | 1 | no | — |
| 516 | C22 | — | 168 | 1 | no | — |
| 517 | C22 | — | 168 | 1 | no | — |
| 518 | C4 | — | 2 | 1 | no | — |
| 519 | C4 | — | 3 | 1 | no | — |
| 520 | C4 | — | 6 | 1 | no | — |
| 521 | C4 | — | 7 | 1 | no | — |
| 522 | C4 | — | 21 | 1 | no | — |
| 523 | C4 | C22×D3×D7 | 1 | 1 | yes | characteristic |
| 524 | C3 | #90460 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 525 | C2 | — | 4 | 1 | no | — |
| 526 | C2 | — | 6 | 1 | no | — |
| 527 | C2 | — | 12 | 1 | no | — |
| 528 | C2 | — | 14 | 1 | no | — |
| 529 | C2 | — | 28 | 1 | no | — |
| 530 | C2 | — | 28 | 1 | no | — |
| 531 | C2 | — | 42 | 1 | no | — |
| 532 | C2 | — | 84 | 1 | no | — |
| 533 | C2 | — | 84 | 1 | no | — |
| 534 | C2 | D3×D4×D7 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta