| 1 | #11741250 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #11741227 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#89666 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11736434 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | C7×#1814 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11728460 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11728414 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11728412 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11728149 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #11726768 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #11726766 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | C2×C7×#131 | C22 | 1 | 1 | yes | characteristic |
| 13 | #41×Dic7 | C22 | 1 | 1 | yes | characteristic |
| 14 | #90513 | C22 | 1 | 2 | yes | — |
| 15 | C2×#6511 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×#6470 | C22 | 1 | 2 | yes | — |
| 17 | C2×#6467 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×C7×#108 | C22 | 1 | 1 | yes | characteristic |
| 19 | C7×#427 | C22 | 1 | 1 | yes | characteristic |
| 20 | C7×#421 | C22 | 1 | 2 | yes | — |
| 21 | #89915 | C4 | 1 | 2 | yes | complemented |
| 22 | #89914 | C4 | 1 | 2 | yes | complemented |
| 23 | #89913 | C4 | 1 | 4 | yes | complemented |
| 24 | C2×#6399 | C22 | 1 | 2 | yes | — |
| 25 | #89904 | C22 | 1 | 2 | yes | — |
| 26 | #89896 | C22 | 1 | 2 | yes | — |
| 27 | #89894 | — | 2 | 1 | no | — |
| 28 | #89894 | C22 | 1 | 1 | yes | characteristic |
| 29 | M16×Dic7 | — | 2 | 1 | no | — |
| 30 | M16×Dic7 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×#6393 | C22 | 1 | 1 | yes | characteristic |
| 32 | #89873 | — | 2 | 1 | no | — |
| 33 | #89873 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×#6389 | — | 2 | 1 | no | — |
| 35 | C2×#6389 | C22 | 1 | 1 | yes | characteristic |
| 36 | #89778 | C22 | 1 | 2 | yes | — |
| 37 | #89777 | C22 | 1 | 2 | yes | — |
| 38 | #89769 | C22 | 1 | 2 | yes | — |
| 39 | #89666 | — | 2 | 1 | no | — |
| 40 | #89666 | — | 2 | 1 | no | — |
| 41 | #89666 | — | 2 | 1 | no | — |
| 42 | #89666 | — | 2 | 1 | no | — |
| 43 | #89596 | — | 2 | 4 | no | — |
| 44 | #89595 | — | 2 | 4 | no | — |
| 45 | C7×#344 | C22 | 1 | 2 | yes | — |
| 46 | #89351 | C22 | 1 | 2 | yes | — |
| 47 | #89327 | C22 | 1 | 2 | yes | — |
| 48 | #21559 | — | 7 | 1 | no | maximal, Sylow |
| 49 | C2×C7×#41 | C23 | 1 | 1 | yes | characteristic |
| 50 | C2×#1157 | C23 | 1 | 2 | yes | — |
| 51 | C7×#131 | — | 2 | 1 | no | — |
| 52 | C7×#131 | — | 2 | 1 | no | — |
| 53 | C7×#131 | C2×C4 | 1 | 2 | yes | — |
| 54 | C7×#131 | C2×C4 | 1 | 2 | yes | — |
| 55 | C2×C7×M16 | — | 2 | 1 | no | — |
| 56 | C2×C7×M16 | C23 | 1 | 2 | yes | — |
| 57 | C2×C7×M16 | C23 | 1 | 1 | yes | characteristic |
| 58 | C22×C7×C8 | — | 2 | 1 | no | — |
| 59 | C22×C7×C8 | C23 | 1 | 1 | yes | characteristic |
| 60 | C7×#117 | C23 | 1 | 2 | yes | — |
| 61 | #6514 | C2×C4 | 1 | 4 | yes | — |
| 62 | #6513 | — | 2 | 4 | no | — |
| 63 | #6512 | C2×C4 | 1 | 4 | yes | — |
| 64 | #6511 | — | 2 | 2 | no | — |
| 65 | #6511 | D4 | 1 | 4 | yes | — |
| 66 | Q8×Dic7 | — | 2 | 1 | no | — |
| 67 | #6505 | — | 2 | 2 | no | — |
| 68 | D4×Dic7 | — | 2 | 1 | no | — |
| 69 | D4×Dic7 | — | 2 | 2 | no | — |
| 70 | #6495 | — | 2 | 2 | no | — |
| 71 | #6489 | — | 2 | 1 | no | — |
| 72 | #6489 | C23 | 1 | 1 | yes | characteristic |
| 73 | C2×C4×Dic7 | — | 2 | 1 | no | — |
| 74 | C2×C4×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 75 | C2×#1136 | — | 2 | 1 | no | — |
| 76 | C2×#1136 | C23 | 1 | 2 | yes | — |
| 77 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 78 | C22×C7⋊C8 | — | 2 | 1 | no | — |
| 79 | C22×C7⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 80 | #6470 | — | 2 | 2 | no | — |
| 81 | #6470 | — | 2 | 2 | no | — |
| 82 | #6470 | — | 2 | 2 | no | — |
| 83 | #6470 | — | 2 | 2 | no | — |
| 84 | C2×Dic28 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 85 | #6467 | — | 2 | 1 | no | — |
| 86 | #6467 | — | 2 | 1 | no | — |
| 87 | #6467 | — | 2 | 1 | no | — |
| 88 | #6467 | — | 2 | 1 | no | — |
| 89 | C2×D56 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 90 | C2×#1132 | C2×C4 | 1 | 2 | yes | complemented |
| 91 | C2×#1131 | — | 2 | 2 | no | — |
| 92 | C2×C8×D7 | — | 2 | 2 | no | — |
| 93 | C7×#108 | — | 2 | 1 | no | — |
| 94 | C7×#108 | — | 2 | 1 | no | — |
| 95 | C7×#107 | — | 2 | 1 | no | — |
| 96 | C7×#106 | — | 2 | 1 | no | — |
| 97 | C7×#104 | — | 2 | 4 | no | — |
| 98 | #6399 | — | 2 | 2 | no | — |
| 99 | #6399 | — | 2 | 2 | no | — |
| 100 | #6398 | C2×C4 | 1 | 4 | yes | complemented |
| 101 | #6397 | C2×C4 | 1 | 4 | yes | complemented |
| 102 | #6396 | — | 2 | 4 | no | — |
| 103 | #6393 | C2×C4 | 1 | 2 | yes | complemented |
| 104 | #6393 | C2×C4 | 1 | 2 | yes | complemented |
| 105 | #6389 | — | 2 | 1 | no | — |
| 106 | #6389 | — | 2 | 1 | no | — |
| 107 | #6389 | — | 2 | 1 | no | — |
| 108 | #6389 | D4 | 1 | 1 | yes | characteristic |
| 109 | #6389 | D4 | 1 | 1 | yes | characteristic |
| 110 | #6389 | D4 | 1 | 1 | yes | characteristic |
| 111 | #6389 | D4 | 1 | 1 | yes | characteristic |
| 112 | C8×Dic7 | — | 2 | 1 | no | — |
| 113 | C8×Dic7 | — | 2 | 1 | no | — |
| 114 | C8×Dic7 | — | 2 | 1 | no | — |
| 115 | #6380 | — | 2 | 4 | no | — |
| 116 | #6379 | — | 2 | 4 | no | — |
| 117 | #6377 | — | 2 | 2 | no | — |
| 118 | C4×C7⋊C8 | — | 2 | 2 | no | — |
| 119 | #3067 | — | 7 | 1 | no | — |
| 120 | #2955 | — | 7 | 2 | no | — |
| 121 | C2×#444 | — | 7 | 1 | no | — |
| 122 | #2875 | — | 7 | 1 | no | — |
| 123 | #1976 | — | 7 | 1 | no | — |
| 124 | #1953 | — | 7 | 1 | no | — |
| 125 | #1932 | — | 7 | 2 | no | — |
| 126 | #1906 | — | 7 | 2 | no | — |
| 127 | #1814 | D7 | 1 | 1 | yes | characteristic, complemented |
| 128 | #1773 | — | 7 | 1 | no | — |
| 129 | #1757 | — | 7 | 2 | no | — |
| 130 | C7×#41 | — | 2 | 1 | no | — |
| 131 | C7×#41 | — | 2 | 1 | no | — |
| 132 | C7×#41 | C22×C4 | 1 | 2 | yes | — |
| 133 | C7×#41 | C2×D4 | 1 | 2 | yes | — |
| 134 | C2×C7×Q8 | #41 | 1 | 1 | yes | characteristic |
| 135 | C2×C7×D4 | — | 2 | 1 | no | — |
| 136 | C2×C7×D4 | #41 | 1 | 1 | yes | characteristic |
| 137 | C22×C4×C7 | — | 2 | 1 | no | — |
| 138 | C22×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 139 | C2×C22⋊D7 | — | 2 | 2 | no | — |
| 140 | C22×Dic7 | — | 2 | 2 | no | — |
| 141 | C22×Dic7 | — | 2 | 1 | no | — |
| 142 | #1157 | — | 2 | 2 | no | — |
| 143 | #1157 | — | 2 | 2 | no | — |
| 144 | #1157 | — | 2 | 2 | no | — |
| 145 | #1157 | — | 2 | 2 | no | — |
| 146 | C2×D28 | C22×C4 | 1 | 2 | yes | — |
| 147 | C2×C4×D7 | — | 2 | 2 | no | — |
| 148 | C2×Dic14 | C22×C4 | 1 | 2 | yes | — |
| 149 | C7×M16 | — | 2 | 1 | no | — |
| 150 | C7×M16 | — | 2 | 2 | no | — |
| 151 | C7×M16 | — | 2 | 2 | no | — |
| 152 | C7×M16 | — | 2 | 2 | no | — |
| 153 | C7×M16 | — | 2 | 2 | no | — |
| 154 | C7×M16 | C22×C4 | 1 | 2 | yes | — |
| 155 | C2×C7×C8 | — | 2 | 1 | no | — |
| 156 | C2×C7×C8 | — | 2 | 2 | no | — |
| 157 | C2×C7×C8 | — | 2 | 2 | no | — |
| 158 | C2×C7×C8 | — | 2 | 2 | no | — |
| 159 | C2×C7×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 160 | C2×C7×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 161 | C2×C7×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 162 | C2×C7×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 163 | C2×C7×C8 | #41 | 1 | 1 | yes | characteristic |
| 164 | C2×C7×C8 | #41 | 1 | 1 | yes | characteristic |
| 165 | C7×C4⋊C4 | — | 2 | 2 | no | — |
| 166 | C7×C22⋊C4 | — | 2 | 2 | no | — |
| 167 | C42×C7 | — | 2 | 2 | no | — |
| 168 | C22⋊Dic7 | — | 2 | 2 | no | — |
| 169 | C22⋊Dic7 | #41 | 1 | 2 | yes | — |
| 170 | #1144 | — | 2 | 4 | no | — |
| 171 | #1143 | — | 2 | 4 | no | — |
| 172 | #1142 | — | 2 | 4 | no | — |
| 173 | #1141 | — | 2 | 4 | no | — |
| 174 | C4⋊Dic7 | — | 2 | 2 | no | — |
| 175 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 176 | C4×Dic7 | — | 2 | 2 | no | — |
| 177 | C4×Dic7 | — | 2 | 1 | no | — |
| 178 | C4×Dic7 | — | 2 | 1 | no | — |
| 179 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 180 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 181 | #1136 | — | 2 | 2 | no | — |
| 182 | #1136 | — | 2 | 1 | no | — |
| 183 | #1136 | — | 2 | 4 | no | — |
| 184 | #1136 | C22×C4 | 1 | 4 | yes | — |
| 185 | #1136 | C2×D4 | 1 | 2 | yes | — |
| 186 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 187 | C2×C7⋊C8 | — | 2 | 2 | no | — |
| 188 | C2×C7⋊C8 | — | 2 | 4 | no | — |
| 189 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 191 | C2×C7⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 192 | C2×C7⋊C8 | #41 | 1 | 2 | yes | — |
| 193 | Dic28 | — | 2 | 1 | no | — |
| 194 | Dic28 | — | 2 | 1 | no | — |
| 195 | D56 | — | 2 | 1 | no | — |
| 196 | D56 | — | 2 | 1 | no | — |
| 197 | #1132 | — | 2 | 2 | no | — |
| 198 | #1132 | — | 2 | 2 | no | — |
| 199 | #1131 | — | 4 | 2 | no | — |
| 200 | #1131 | — | 4 | 2 | no | — |
| 201 | C8×D7 | — | 4 | 2 | no | — |
| 202 | C8×D7 | — | 4 | 2 | no | — |
| 203 | #575 | — | 7 | 2 | no | — |
| 204 | C2×#135 | — | 7 | 1 | no | — |
| 205 | C2×#131 | — | 7 | 1 | no | — |
| 206 | C2×#131 | — | 7 | 2 | no | — |
| 207 | C2×#131 | C2×D7 | 1 | 1 | yes | characteristic |
| 208 | C4×#41 | — | 7 | 1 | no | — |
| 209 | #473 | — | 7 | 2 | no | — |
| 210 | #472 | — | 7 | 2 | no | — |
| 211 | #471 | — | 7 | 4 | no | — |
| 212 | #444 | — | 14 | 1 | no | — |
| 213 | #444 | — | 14 | 1 | no | — |
| 214 | #444 | — | 14 | 1 | no | — |
| 215 | #444 | — | 14 | 1 | no | — |
| 216 | #444 | — | 14 | 4 | no | — |
| 217 | #443 | — | 14 | 4 | no | — |
| 218 | #430 | — | 7 | 2 | no | — |
| 219 | C2×#108 | — | 7 | 1 | no | — |
| 220 | C2×#108 | C2×D7 | 1 | 1 | yes | characteristic |
| 221 | #427 | C2×D7 | 1 | 1 | yes | characteristic |
| 222 | #421 | — | 7 | 2 | no | — |
| 223 | #421 | C2×D7 | 1 | 2 | yes | — |
| 224 | C2×#104 | — | 7 | 2 | no | — |
| 225 | #413 | — | 7 | 2 | no | — |
| 226 | #410 | — | 7 | 2 | no | — |
| 227 | #405 | — | 7 | 1 | no | — |
| 228 | #405 | — | 7 | 1 | no | — |
| 229 | #405 | — | 7 | 2 | no | — |
| 230 | #405 | — | 14 | 1 | no | — |
| 231 | #405 | — | 14 | 1 | no | — |
| 232 | C4×M16 | — | 7 | 1 | no | — |
| 233 | C4×M16 | — | 14 | 1 | no | — |
| 234 | C2×#97 | — | 7 | 1 | no | — |
| 235 | C2×#97 | — | 14 | 1 | no | — |
| 236 | #344 | — | 7 | 2 | no | — |
| 237 | #344 | C2×D7 | 1 | 2 | yes | — |
| 238 | #339 | — | 7 | 2 | no | — |
| 239 | C23×C7 | — | 2 | 1 | no | — |
| 240 | C23×C7 | C2×#41 | 1 | 1 | yes | characteristic |
| 241 | C22×D7 | — | 2 | 2 | no | — |
| 242 | C7×Q8 | — | 2 | 1 | no | — |
| 243 | C7×Q8 | C4×D4 | 1 | 2 | yes | — |
| 244 | C7×D4 | — | 2 | 2 | no | — |
| 245 | C7×D4 | — | 2 | 2 | no | — |
| 246 | C7×D4 | — | 2 | 1 | no | — |
| 247 | C7×D4 | C4×D4 | 1 | 2 | yes | — |
| 248 | C2×C4×C7 | — | 2 | 1 | no | — |
| 249 | C2×C4×C7 | — | 2 | 2 | no | — |
| 250 | C2×C4×C7 | — | 2 | 2 | no | — |
| 251 | C2×C4×C7 | — | 4 | 2 | no | — |
| 252 | C2×C4×C7 | C23×C4 | 1 | 1 | yes | characteristic |
| 253 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 254 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 255 | C2×C4×C7 | C2×#41 | 1 | 1 | yes | characteristic |
| 256 | C2×C4×C7 | C2×#41 | 1 | 1 | yes | characteristic |
| 257 | C2×C4×C7 | C2×#41 | 1 | 1 | yes | characteristic |
| 258 | C22⋊D7 | — | 4 | 2 | no | — |
| 259 | C22⋊D7 | — | 4 | 2 | no | — |
| 260 | C2×Dic7 | — | 2 | 2 | no | — |
| 261 | C2×Dic7 | — | 2 | 1 | no | — |
| 262 | C2×Dic7 | — | 2 | 2 | no | — |
| 263 | C2×Dic7 | — | 2 | 1 | no | — |
| 264 | C2×Dic7 | — | 8 | 1 | no | — |
| 265 | C2×Dic7 | — | 8 | 2 | no | — |
| 266 | D28 | — | 2 | 2 | no | — |
| 267 | D28 | — | 2 | 2 | no | — |
| 268 | C4×D7 | — | 4 | 2 | no | — |
| 269 | C4×D7 | — | 4 | 2 | no | — |
| 270 | Dic14 | — | 2 | 2 | no | — |
| 271 | Dic14 | — | 2 | 2 | no | — |
| 272 | C7×C8 | — | 2 | 2 | no | — |
| 273 | C7×C8 | — | 4 | 2 | no | — |
| 274 | C7×C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 275 | C7×C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 276 | C7×C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 277 | C7×C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 278 | C7⋊C8 | — | 2 | 4 | no | — |
| 279 | C7⋊C8 | — | 2 | 2 | no | — |
| 280 | C7⋊C8 | #121 | 1 | 2 | yes | — |
| 281 | C7⋊C8 | #121 | 1 | 2 | yes | — |
| 282 | C2×#41 | — | 7 | 2 | no | — |
| 283 | C2×#41 | C22×D7 | 1 | 1 | yes | characteristic |
| 284 | #137 | — | 7 | 4 | no | — |
| 285 | #137 | — | 14 | 2 | no | — |
| 286 | AGL(1,ℤ/8) | — | 7 | 4 | no | — |
| 287 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 288 | #135 | — | 14 | 4 | no | — |
| 289 | #135 | — | 14 | 1 | no | — |
| 290 | #135 | — | 14 | 1 | no | — |
| 291 | #135 | — | 14 | 1 | no | — |
| 292 | #135 | — | 14 | 1 | no | — |
| 293 | C2×Q16 | — | 7 | 1 | no | — |
| 294 | C2×SD16 | — | 7 | 2 | no | — |
| 295 | C2×D8 | — | 7 | 1 | no | — |
| 296 | #131 | — | 2 | 1 | no | — |
| 297 | #131 | — | 2 | 1 | no | — |
| 298 | #131 | — | 7 | 4 | no | — |
| 299 | #131 | — | 14 | 2 | no | — |
| 300 | #131 | — | 14 | 2 | no | — |
| 301 | #131 | — | 14 | 2 | no | — |
| 302 | #131 | — | 14 | 2 | no | — |
| 303 | #131 | — | 14 | 2 | no | — |
| 304 | #131 | C4×D7 | 1 | 2 | yes | — |
| 305 | #131 | C4×D7 | 1 | 2 | yes | — |
| 306 | C2×M16 | — | 2 | 1 | no | — |
| 307 | C2×M16 | — | 7 | 1 | no | — |
| 308 | C2×M16 | — | 7 | 2 | no | — |
| 309 | C2×M16 | — | 14 | 2 | no | — |
| 310 | C2×M16 | — | 14 | 1 | no | — |
| 311 | C2×M16 | C22×D7 | 1 | 2 | yes | — |
| 312 | C2×M16 | C22×D7 | 1 | 1 | yes | characteristic |
| 313 | C22×C8 | — | 2 | 1 | no | — |
| 314 | C22×C8 | — | 7 | 1 | no | — |
| 315 | C22×C8 | — | 14 | 2 | no | — |
| 316 | C22×C8 | — | 14 | 1 | no | — |
| 317 | C22×C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 318 | C4×Q8 | — | 14 | 1 | no | — |
| 319 | C4×D4 | — | 14 | 2 | no | — |
| 320 | C4×D4 | — | 14 | 1 | no | — |
| 321 | #117 | — | 7 | 1 | no | — |
| 322 | #117 | — | 14 | 1 | no | — |
| 323 | #117 | C22×D7 | 1 | 2 | yes | — |
| 324 | C2×C42 | — | 7 | 1 | no | — |
| 325 | C2×C42 | — | 14 | 1 | no | — |
| 326 | #108 | — | 2 | 1 | no | — |
| 327 | #108 | — | 2 | 1 | no | — |
| 328 | #108 | — | 7 | 2 | no | — |
| 329 | #108 | — | 7 | 2 | no | — |
| 330 | #108 | — | 14 | 4 | no | — |
| 331 | #107 | — | 2 | 1 | no | — |
| 332 | #106 | — | 2 | 1 | no | — |
| 333 | #104 | — | 2 | 4 | no | — |
| 334 | #104 | — | 14 | 4 | no | — |
| 335 | #104 | — | 14 | 2 | no | — |
| 336 | #104 | — | 14 | 2 | no | — |
| 337 | #101 | — | 7 | 4 | no | — |
| 338 | #100 | — | 7 | 4 | no | — |
| 339 | #99 | — | 14 | 4 | no | — |
| 340 | #97 | — | 7 | 1 | no | — |
| 341 | #97 | — | 7 | 1 | no | — |
| 342 | #97 | — | 7 | 1 | no | — |
| 343 | #97 | — | 7 | 1 | no | — |
| 344 | #97 | — | 14 | 2 | no | — |
| 345 | #97 | — | 14 | 1 | no | — |
| 346 | #97 | — | 14 | 1 | no | — |
| 347 | #97 | — | 14 | 1 | no | — |
| 348 | C4×C8 | — | 14 | 2 | no | — |
| 349 | C4×C8 | — | 14 | 1 | no | — |
| 350 | C4×C8 | — | 14 | 1 | no | — |
| 351 | C4×C8 | — | 14 | 1 | no | — |
| 352 | C22×C7 | — | 2 | 2 | no | — |
| 353 | C22×C7 | — | 4 | 1 | no | — |
| 354 | C22×C7 | — | 4 | 2 | no | — |
| 355 | C22×C7 | C4×#41 | 1 | 1 | yes | characteristic |
| 356 | C22×C7 | #525 | 1 | 1 | yes | characteristic |
| 357 | C22×C7 | #532 | 1 | 1 | yes | characteristic |
| 358 | C2×D7 | — | 4 | 2 | no | — |
| 359 | C2×D7 | — | 8 | 2 | no | — |
| 360 | C4×C7 | — | 2 | 2 | no | — |
| 361 | C4×C7 | — | 8 | 2 | no | — |
| 362 | C4×C7 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 363 | C4×C7 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 364 | C4×C7 | C2×#121 | 1 | 1 | yes | characteristic |
| 365 | C4×C7 | #529 | 1 | 1 | yes | characteristic |
| 366 | Dic7 | — | 4 | 2 | no | — |
| 367 | Dic7 | — | 4 | 1 | no | — |
| 368 | Dic7 | — | 4 | 1 | no | — |
| 369 | Dic7 | — | 4 | 2 | no | — |
| 370 | #41 | — | 2 | 1 | no | — |
| 371 | #41 | — | 2 | 1 | no | — |
| 372 | #41 | — | 14 | 2 | no | — |
| 373 | #41 | — | 14 | 2 | no | — |
| 374 | #41 | — | 14 | 2 | no | — |
| 375 | #41 | — | 14 | 2 | no | — |
| 376 | #41 | C2×C4×D7 | 1 | 2 | yes | — |
| 377 | #41 | D4×D7 | 1 | 2 | yes | — |
| 378 | C2×Q8 | — | 7 | 2 | no | — |
| 379 | C2×Q8 | #1161 | 1 | 1 | yes | characteristic |
| 380 | C2×D4 | — | 2 | 1 | no | — |
| 381 | C2×D4 | — | 7 | 2 | no | — |
| 382 | C2×D4 | — | 14 | 2 | no | — |
| 383 | C2×D4 | #1161 | 1 | 1 | yes | characteristic |
| 384 | C22×C4 | — | 2 | 1 | no | — |
| 385 | C22×C4 | — | 14 | 2 | no | — |
| 386 | C22×C4 | — | 14 | 1 | no | — |
| 387 | C22×C4 | — | 14 | 2 | no | — |
| 388 | C22×C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 389 | Q16 | — | 14 | 4 | no | — |
| 390 | Q16 | — | 14 | 1 | no | — |
| 391 | Q16 | — | 14 | 1 | no | — |
| 392 | SD16 | — | 14 | 4 | no | — |
| 393 | SD16 | — | 14 | 4 | no | — |
| 394 | SD16 | — | 14 | 2 | no | — |
| 395 | SD16 | — | 14 | 2 | no | — |
| 396 | D8 | — | 14 | 4 | no | — |
| 397 | D8 | — | 14 | 1 | no | — |
| 398 | D8 | — | 14 | 1 | no | — |
| 399 | M16 | — | 2 | 1 | no | — |
| 400 | M16 | — | 2 | 2 | no | — |
| 401 | M16 | — | 2 | 2 | no | — |
| 402 | M16 | — | 2 | 2 | no | — |
| 403 | M16 | — | 2 | 2 | no | — |
| 404 | M16 | — | 7 | 4 | no | — |
| 405 | M16 | — | 7 | 2 | no | — |
| 406 | M16 | — | 14 | 4 | no | — |
| 407 | M16 | — | 14 | 2 | no | — |
| 408 | M16 | — | 14 | 1 | no | — |
| 409 | M16 | — | 28 | 2 | no | — |
| 410 | M16 | — | 28 | 2 | no | — |
| 411 | M16 | C2×C4×D7 | 1 | 2 | yes | — |
| 412 | C2×C8 | — | 2 | 1 | no | — |
| 413 | C2×C8 | — | 2 | 2 | no | — |
| 414 | C2×C8 | — | 2 | 2 | no | — |
| 415 | C2×C8 | — | 2 | 2 | no | — |
| 416 | C2×C8 | — | 7 | 1 | no | — |
| 417 | C2×C8 | — | 7 | 2 | no | — |
| 418 | C2×C8 | — | 7 | 1 | no | — |
| 419 | C2×C8 | — | 7 | 2 | no | — |
| 420 | C2×C8 | — | 14 | 4 | no | — |
| 421 | C2×C8 | — | 14 | 1 | no | — |
| 422 | C2×C8 | — | 14 | 2 | no | — |
| 423 | C2×C8 | — | 28 | 2 | no | — |
| 424 | C2×C8 | — | 28 | 2 | no | — |
| 425 | C2×C8 | C2×C4×D7 | 1 | 1 | yes | characteristic |
| 426 | C2×C8 | C2×C4×D7 | 1 | 1 | yes | characteristic |
| 427 | C2×C8 | D4×D7 | 1 | 1 | yes | characteristic |
| 428 | C2×C8 | D4×D7 | 1 | 1 | yes | characteristic |
| 429 | C2×C8 | #1159 | 1 | 1 | yes | characteristic |
| 430 | C2×C8 | #1159 | 1 | 1 | yes | characteristic |
| 431 | C4⋊C4 | — | 2 | 2 | no | — |
| 432 | C4⋊C4 | — | 14 | 2 | no | — |
| 433 | C4⋊C4 | — | 14 | 1 | no | — |
| 434 | C22⋊C4 | — | 2 | 2 | no | — |
| 435 | C22⋊C4 | — | 7 | 2 | no | — |
| 436 | C22⋊C4 | — | 14 | 2 | no | — |
| 437 | C42 | — | 2 | 2 | no | — |
| 438 | C42 | — | 7 | 1 | no | — |
| 439 | C42 | — | 7 | 1 | no | — |
| 440 | C42 | — | 14 | 2 | no | — |
| 441 | C42 | — | 14 | 1 | no | — |
| 442 | C42 | — | 14 | 1 | no | — |
| 443 | C2×C7 | — | 2 | 1 | no | — |
| 444 | C2×C7 | — | 2 | 1 | no | — |
| 445 | C2×C7 | — | 2 | 1 | no | — |
| 446 | C2×C7 | — | 4 | 2 | no | — |
| 447 | C2×C7 | C4×#121 | 1 | 1 | yes | characteristic |
| 448 | D7 | — | 8 | 2 | no | — |
| 449 | C23 | — | 2 | 1 | no | — |
| 450 | C23 | — | 14 | 2 | no | — |
| 451 | C23 | D7×#41 | 1 | 1 | yes | characteristic |
| 452 | Q8 | — | 2 | 1 | no | — |
| 453 | Q8 | — | 14 | 2 | no | — |
| 454 | Q8 | — | 14 | 2 | no | — |
| 455 | Q8 | #6456 | 1 | 2 | yes | — |
| 456 | D4 | — | 2 | 2 | no | — |
| 457 | D4 | — | 2 | 2 | no | — |
| 458 | D4 | — | 2 | 1 | no | — |
| 459 | D4 | — | 14 | 2 | no | — |
| 460 | D4 | — | 14 | 2 | no | — |
| 461 | D4 | — | 28 | 2 | no | — |
| 462 | D4 | — | 28 | 2 | no | — |
| 463 | D4 | #6456 | 1 | 2 | yes | — |
| 464 | C2×C4 | — | 2 | 1 | no | — |
| 465 | C2×C4 | — | 2 | 2 | no | — |
| 466 | C2×C4 | — | 2 | 2 | no | — |
| 467 | C2×C4 | — | 4 | 2 | no | — |
| 468 | C2×C4 | — | 14 | 2 | no | — |
| 469 | C2×C4 | — | 14 | 1 | no | — |
| 470 | C2×C4 | — | 14 | 1 | no | — |
| 471 | C2×C4 | — | 14 | 2 | no | — |
| 472 | C2×C4 | — | 28 | 2 | no | — |
| 473 | C2×C4 | — | 28 | 2 | no | — |
| 474 | C2×C4 | — | 56 | 1 | no | — |
| 475 | C2×C4 | — | 56 | 2 | no | — |
| 476 | C2×C4 | C22×C4×D7 | 1 | 1 | yes | characteristic |
| 477 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 478 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 479 | C2×C4 | C2×#1159 | 1 | 1 | yes | characteristic |
| 480 | C2×C4 | C2×#1161 | 1 | 1 | yes | characteristic |
| 481 | C2×C4 | D7×#41 | 1 | 1 | yes | characteristic |
| 482 | C8 | — | 2 | 2 | no | — |
| 483 | C8 | — | 4 | 2 | no | — |
| 484 | C8 | — | 7 | 2 | no | — |
| 485 | C8 | — | 7 | 2 | no | — |
| 486 | C8 | — | 14 | 4 | no | — |
| 487 | C8 | — | 14 | 2 | no | — |
| 488 | C8 | (C22⋊D7)⋊C4 | 1 | 1 | yes | characteristic |
| 489 | C8 | (C22⋊D7)⋊C4 | 1 | 1 | yes | characteristic |
| 490 | C8 | (C22⋊D7)⋊C4 | 1 | 1 | yes | characteristic |
| 491 | C8 | (C22⋊D7)⋊C4 | 1 | 1 | yes | characteristic |
| 492 | C7 | #21559 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 493 | C22 | — | 2 | 2 | no | — |
| 494 | C22 | — | 4 | 1 | no | — |
| 495 | C22 | — | 4 | 2 | no | — |
| 496 | C22 | — | 28 | 2 | no | — |
| 497 | C22 | — | 56 | 2 | no | — |
| 498 | C22 | #90213 | 1 | 1 | yes | characteristic |
| 499 | C22 | #90287 | 1 | 1 | yes | characteristic |
| 500 | C22 | #90318 | 1 | 1 | yes | characteristic |
| 501 | C4 | — | 2 | 2 | no | — |
| 502 | C4 | — | 8 | 2 | no | — |
| 503 | C4 | — | 28 | 1 | no | — |
| 504 | C4 | — | 28 | 1 | no | — |
| 505 | C4 | — | 28 | 2 | no | — |
| 506 | C4 | — | 28 | 2 | no | — |
| 507 | C4 | C2×(C22⋊D7)⋊C4 | 1 | 1 | yes | characteristic |
| 508 | C4 | C2×#6456 | 1 | 1 | yes | characteristic |
| 509 | C4 | D7×#121 | 1 | 1 | yes | characteristic |
| 510 | C4 | #90315 | 1 | 1 | yes | characteristic |
| 511 | C2 | — | 2 | 1 | no | — |
| 512 | C2 | — | 2 | 1 | no | — |
| 513 | C2 | — | 2 | 1 | no | — |
| 514 | C2 | — | 4 | 2 | no | — |
| 515 | C2 | — | 56 | 2 | no | — |
| 516 | C2 | #11731310 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta