| 1 | D7×#500 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11739265 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C7×#2243 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11729137 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11729073 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11726975 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11726969 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11726943 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #11726937 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #11726833 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11726825 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C2×#6482 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×#6479 | — | 2 | 1 | no | — |
| 14 | C2×#6475 | C22 | 1 | 1 | yes | characteristic |
| 15 | D7×C4⋊Q8 | — | 2 | 1 | no | — |
| 16 | #90359 | — | 2 | 1 | no | — |
| 17 | C7×#500 | C22 | 1 | 1 | yes | characteristic |
| 18 | C7×#495 | C22 | 1 | 1 | yes | characteristic |
| 19 | #89953 | C22 | 1 | 1 | yes | characteristic |
| 20 | #89947 | — | 2 | 1 | no | — |
| 21 | #89923 | C22 | 1 | 1 | yes | characteristic |
| 22 | #89850 | — | 2 | 1 | no | — |
| 23 | #89831 | — | 2 | 1 | no | — |
| 24 | C2×#6372 | C22 | 1 | 2 | yes | — |
| 25 | D7×#107 | — | 2 | 1 | no | — |
| 26 | D7×#107 | C22 | 1 | 2 | yes | — |
| 27 | #89646 | — | 2 | 1 | no | — |
| 28 | #89646 | C22 | 1 | 2 | yes | — |
| 29 | #89468 | C22 | 1 | 1 | yes | characteristic |
| 30 | C4×C8×D7 | C22 | 1 | 1 | yes | characteristic |
| 31 | #89454 | C22 | 1 | 1 | yes | characteristic |
| 32 | C7×#358 | C22 | 1 | 2 | yes | — |
| 33 | C7×#357 | C22 | 1 | 2 | yes | — |
| 34 | C7×#346 | C22 | 1 | 1 | yes | characteristic |
| 35 | #89359 | C22 | 1 | 2 | yes | — |
| 36 | #89357 | C22 | 1 | 2 | yes | — |
| 37 | #89304 | C22 | 1 | 2 | yes | — |
| 38 | #89298 | C22 | 1 | 2 | yes | — |
| 39 | C16×Dic7 | C22 | 1 | 2 | yes | — |
| 40 | #89287 | C22 | 1 | 2 | yes | — |
| 41 | #89286 | C22 | 1 | 2 | yes | — |
| 42 | #89256 | C22 | 1 | 1 | yes | characteristic |
| 43 | #33707 | — | 7 | 1 | no | maximal, Sylow |
| 44 | C2×#1161 | — | 2 | 1 | no | — |
| 45 | C2×Q8×D7 | — | 4 | 1 | no | — |
| 46 | C2×#1159 | — | 2 | 1 | no | — |
| 47 | C2×C7×Q16 | C23 | 1 | 1 | yes | characteristic |
| 48 | C2×C7×SD16 | — | 2 | 1 | no | — |
| 49 | C2×C7×D8 | C23 | 1 | 1 | yes | characteristic |
| 50 | C7×C4⋊Q8 | — | 2 | 1 | no | — |
| 51 | C7×#124 | — | 2 | 1 | no | — |
| 52 | #6507 | — | 2 | 1 | no | — |
| 53 | #6507 | — | 4 | 1 | no | — |
| 54 | C2×#1144 | — | 2 | 1 | no | — |
| 55 | C2×#1143 | — | 2 | 1 | no | — |
| 56 | #6503 | — | 2 | 1 | no | — |
| 57 | C2×#1142 | — | 2 | 1 | no | — |
| 58 | C2×#1141 | — | 2 | 1 | no | — |
| 59 | #6482 | — | 2 | 4 | no | — |
| 60 | #6479 | — | 4 | 4 | no | — |
| 61 | #6475 | — | 2 | 4 | no | — |
| 62 | C2×Dic28 | C23 | 1 | 1 | yes | characteristic |
| 63 | C2×D56 | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×#1132 | — | 2 | 1 | no | — |
| 65 | C2×C8×D7 | D4 | 1 | 1 | yes | characteristic |
| 66 | C2×C8×D7 | C23 | 1 | 1 | yes | characteristic |
| 67 | D7×C4⋊C4 | — | 2 | 2 | no | — |
| 68 | D7×C4⋊C4 | — | 4 | 1 | no | — |
| 69 | #6451 | — | 2 | 2 | no | — |
| 70 | #6451 | — | 4 | 1 | no | — |
| 71 | #6447 | — | 4 | 1 | no | — |
| 72 | #6447 | — | 4 | 1 | no | — |
| 73 | (C22⋊D7)⋊C4 | — | 4 | 1 | no | — |
| 74 | (C22⋊D7)⋊C4 | — | 4 | 1 | no | — |
| 75 | #6438 | — | 2 | 1 | no | — |
| 76 | C42×D7 | D4 | 1 | 1 | yes | characteristic |
| 77 | #6432 | — | 2 | 1 | no | — |
| 78 | C2×C7×C16 | C23 | 1 | 2 | yes | — |
| 79 | C7×#107 | — | 2 | 1 | no | — |
| 80 | C7×#107 | C23 | 1 | 2 | yes | — |
| 81 | C4×C7×C8 | C23 | 1 | 1 | yes | characteristic |
| 82 | #6392 | — | 2 | 1 | no | — |
| 83 | #6392 | C23 | 1 | 2 | yes | — |
| 84 | C8×Dic7 | D4 | 1 | 1 | yes | characteristic |
| 85 | C8×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×C7⋊C16 | C23 | 1 | 2 | yes | — |
| 87 | #6381 | — | 2 | 2 | no | — |
| 88 | #6381 | — | 2 | 2 | no | — |
| 89 | C4×C7⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 90 | #6372 | — | 2 | 4 | no | — |
| 91 | C2×#500 | — | 7 | 1 | no | — |
| 92 | #3147 | — | 7 | 1 | no | — |
| 93 | #2243 | — | 7 | 1 | no | — |
| 94 | #2243 | — | 7 | 1 | no | — |
| 95 | #2243 | — | 7 | 1 | no | — |
| 96 | #2243 | D7 | 1 | 1 | yes | characteristic, complemented |
| 97 | #2241 | — | 7 | 2 | no | — |
| 98 | #2240 | — | 7 | 2 | no | — |
| 99 | #2139 | — | 7 | 2 | no | — |
| 100 | #2139 | — | 7 | 2 | no | — |
| 101 | C4×M32 | — | 7 | 1 | no | — |
| 102 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 103 | C2×C7×Q8 | — | 4 | 1 | no | — |
| 104 | C2×C7×D4 | — | 2 | 1 | no | — |
| 105 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 106 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 107 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 108 | C22×Dic7 | — | 4 | 1 | no | — |
| 109 | #1161 | — | 4 | 2 | no | — |
| 110 | #1161 | — | 4 | 2 | no | — |
| 111 | Q8×D7 | — | 8 | 4 | no | — |
| 112 | #1159 | — | 4 | 2 | no | — |
| 113 | #1159 | — | 4 | 2 | no | — |
| 114 | C2×D28 | — | 2 | 1 | no | — |
| 115 | C2×D28 | — | 4 | 1 | no | — |
| 116 | C2×C4×D7 | — | 4 | 2 | no | — |
| 117 | C2×C4×D7 | — | 4 | 1 | no | — |
| 118 | C2×C4×D7 | D8 | 1 | 1 | yes | characteristic |
| 119 | C2×C4×D7 | D8 | 1 | 1 | yes | characteristic |
| 120 | C2×C4×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 121 | C2×Dic14 | — | 2 | 1 | no | — |
| 122 | C2×Dic14 | — | 4 | 1 | no | — |
| 123 | C2×Dic14 | — | 4 | 2 | no | — |
| 124 | C7×Q16 | — | 2 | 2 | no | — |
| 125 | C7×SD16 | — | 4 | 2 | no | — |
| 126 | C7×D8 | — | 2 | 2 | no | — |
| 127 | C2×C7×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 128 | C2×C7×C8 | C24 | 1 | 1 | yes | characteristic |
| 129 | C7×C4⋊C4 | — | 2 | 2 | no | — |
| 130 | C7×C4⋊C4 | — | 4 | 1 | no | — |
| 131 | C7×C22⋊C4 | — | 4 | 1 | no | — |
| 132 | C7×C22⋊C4 | — | 4 | 1 | no | — |
| 133 | C42×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 134 | #1144 | — | 4 | 2 | no | — |
| 135 | #1143 | — | 4 | 2 | no | — |
| 136 | #1142 | — | 4 | 2 | no | — |
| 137 | #1141 | — | 4 | 2 | no | — |
| 138 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 139 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 140 | C4⋊Dic7 | — | 2 | 2 | no | — |
| 141 | C4⋊Dic7 | — | 4 | 1 | no | — |
| 142 | Dic7⋊C4 | — | 4 | 1 | no | — |
| 143 | Dic7⋊C4 | — | 4 | 1 | no | — |
| 144 | Dic7⋊C4 | — | 4 | 2 | no | — |
| 145 | Dic7⋊C4 | — | 4 | 2 | no | — |
| 146 | C4×Dic7 | D8 | 1 | 1 | yes | characteristic |
| 147 | C4×Dic7 | D8 | 1 | 1 | yes | characteristic |
| 148 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 149 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 150 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 151 | Dic28 | — | 2 | 2 | no | — |
| 152 | D56 | — | 2 | 2 | no | — |
| 153 | #1132 | — | 4 | 2 | no | — |
| 154 | C8×D7 | SD16 | 1 | 4 | yes | — |
| 155 | C8×D7 | #41 | 1 | 4 | yes | — |
| 156 | C7×C16 | — | 2 | 2 | no | — |
| 157 | C7⋊C16 | — | 2 | 2 | no | — |
| 158 | C2×#135 | — | 7 | 1 | no | — |
| 159 | C2×#135 | — | 7 | 1 | no | — |
| 160 | C2×#135 | — | 14 | 1 | no | — |
| 161 | #532 | — | 14 | 1 | no | — |
| 162 | C2×C4⋊Q8 | — | 14 | 1 | no | — |
| 163 | C2×M32 | — | 7 | 2 | no | — |
| 164 | #500 | — | 7 | 2 | no | — |
| 165 | #500 | — | 7 | 1 | no | — |
| 166 | #500 | — | 14 | 1 | no | — |
| 167 | #500 | — | 14 | 1 | no | — |
| 168 | #500 | C2×D7 | 1 | 1 | yes | characteristic |
| 169 | #495 | — | 7 | 1 | no | — |
| 170 | #495 | — | 14 | 1 | no | — |
| 171 | #495 | C2×D7 | 1 | 1 | yes | characteristic |
| 172 | #494 | — | 7 | 1 | no | — |
| 173 | #493 | — | 7 | 1 | no | — |
| 174 | #492 | — | 14 | 1 | no | — |
| 175 | C2×#107 | — | 7 | 2 | no | — |
| 176 | C2×#107 | — | 14 | 1 | no | — |
| 177 | C2×C4×C8 | — | 7 | 1 | no | — |
| 178 | #358 | — | 7 | 2 | no | — |
| 179 | #358 | — | 7 | 2 | no | — |
| 180 | #358 | — | 7 | 2 | no | — |
| 181 | #358 | C2×D7 | 1 | 2 | yes | — |
| 182 | #357 | — | 7 | 2 | no | — |
| 183 | #357 | — | 7 | 2 | no | — |
| 184 | #357 | — | 7 | 2 | no | — |
| 185 | #357 | C2×D7 | 1 | 2 | yes | — |
| 186 | #346 | — | 7 | 1 | no | — |
| 187 | #346 | C2×D7 | 1 | 1 | yes | characteristic |
| 188 | C4×C16 | — | 7 | 2 | no | — |
| 189 | C23×C7 | — | 4 | 1 | no | — |
| 190 | C22×D7 | — | 4 | 1 | no | — |
| 191 | C22×D7 | C2×D8 | 1 | 1 | yes | characteristic |
| 192 | C7×Q8 | — | 4 | 1 | no | — |
| 193 | C7×Q8 | — | 4 | 1 | no | — |
| 194 | C7×Q8 | — | 8 | 2 | no | — |
| 195 | C7×D4 | — | 4 | 1 | no | — |
| 196 | C7×D4 | — | 4 | 1 | no | — |
| 197 | C2×C4×C7 | — | 4 | 1 | no | — |
| 198 | C2×C4×C7 | — | 4 | 2 | no | — |
| 199 | C2×C4×C7 | C2×D8 | 1 | 1 | yes | characteristic |
| 200 | C2×C4×C7 | C2×D8 | 1 | 1 | yes | characteristic |
| 201 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 202 | C22⋊D7 | — | 8 | 2 | no | — |
| 203 | C22⋊D7 | — | 8 | 2 | no | — |
| 204 | C22⋊D7 | — | 8 | 2 | no | — |
| 205 | C2×Dic7 | — | 4 | 2 | no | — |
| 206 | C2×Dic7 | — | 4 | 1 | no | — |
| 207 | C2×Dic7 | — | 8 | 2 | no | — |
| 208 | C2×Dic7 | C2×D8 | 1 | 1 | yes | characteristic |
| 209 | C2×Dic7 | C2×D8 | 1 | 1 | yes | characteristic |
| 210 | C2×Dic7 | C2×D8 | 1 | 1 | yes | characteristic |
| 211 | D28 | — | 4 | 1 | no | — |
| 212 | D28 | — | 4 | 1 | no | — |
| 213 | D28 | — | 8 | 2 | no | — |
| 214 | C4×D7 | — | 2 | 2 | no | — |
| 215 | C4×D7 | — | 2 | 2 | no | — |
| 216 | C4×D7 | — | 8 | 4 | no | — |
| 217 | C4×D7 | — | 8 | 2 | no | — |
| 218 | C4×D7 | #124 | 1 | 2 | yes | — |
| 219 | C4×D7 | C2×SD16 | 1 | 2 | yes | — |
| 220 | Dic14 | — | 4 | 1 | no | — |
| 221 | Dic14 | — | 4 | 1 | no | — |
| 222 | Dic14 | — | 8 | 2 | no | — |
| 223 | Dic14 | — | 8 | 4 | no | — |
| 224 | C7×C8 | C2×SD16 | 1 | 2 | yes | — |
| 225 | C7×C8 | C2×#41 | 1 | 2 | yes | — |
| 226 | C7⋊C8 | #124 | 1 | 2 | yes | — |
| 227 | C7⋊C8 | C2×SD16 | 1 | 2 | yes | — |
| 228 | C2×#41 | — | 14 | 1 | no | — |
| 229 | C2×#41 | — | 14 | 1 | no | — |
| 230 | C22×Q8 | — | 28 | 1 | no | — |
| 231 | #135 | — | 14 | 4 | no | — |
| 232 | #135 | — | 14 | 4 | no | — |
| 233 | #135 | — | 28 | 4 | no | — |
| 234 | C2×Q16 | — | 7 | 1 | no | — |
| 235 | C2×Q16 | — | 14 | 1 | no | — |
| 236 | C2×Q16 | C22×D7 | 1 | 1 | yes | characteristic |
| 237 | C2×SD16 | — | 2 | 1 | no | — |
| 238 | C2×SD16 | — | 14 | 1 | no | — |
| 239 | C2×SD16 | — | 14 | 1 | no | — |
| 240 | C2×SD16 | — | 14 | 1 | no | — |
| 241 | C2×D8 | — | 7 | 1 | no | — |
| 242 | C2×D8 | — | 14 | 1 | no | — |
| 243 | C2×D8 | C22×D7 | 1 | 1 | yes | characteristic |
| 244 | C22×C8 | — | 7 | 1 | no | — |
| 245 | C22×C8 | — | 7 | 1 | no | — |
| 246 | C4⋊Q8 | — | 2 | 1 | no | — |
| 247 | C4⋊Q8 | — | 14 | 2 | no | — |
| 248 | C4⋊Q8 | — | 14 | 1 | no | — |
| 249 | C4⋊Q8 | — | 14 | 1 | no | — |
| 250 | C4⋊Q8 | — | 28 | 1 | no | — |
| 251 | C4⋊Q8 | — | 28 | 1 | no | — |
| 252 | #127 | — | 14 | 1 | no | — |
| 253 | #124 | — | 2 | 1 | no | — |
| 254 | #124 | — | 14 | 1 | no | — |
| 255 | #121 | — | 28 | 1 | no | — |
| 256 | #121 | — | 28 | 1 | no | — |
| 257 | C4×D4 | — | 28 | 1 | no | — |
| 258 | C4×D4 | — | 28 | 1 | no | — |
| 259 | C2×C4⋊C4 | — | 14 | 2 | no | — |
| 260 | C2×C4⋊C4 | — | 28 | 1 | no | — |
| 261 | C2×C42 | — | 7 | 1 | no | — |
| 262 | M32 | — | 14 | 4 | no | — |
| 263 | C2×C16 | — | 7 | 2 | no | — |
| 264 | C2×C16 | C22×D7 | 1 | 2 | yes | — |
| 265 | #107 | — | 2 | 1 | no | — |
| 266 | #107 | — | 7 | 2 | no | — |
| 267 | #107 | — | 14 | 2 | no | — |
| 268 | #107 | — | 14 | 2 | no | — |
| 269 | #107 | — | 14 | 1 | no | — |
| 270 | #107 | C22×D7 | 1 | 2 | yes | — |
| 271 | C4×C8 | — | 7 | 1 | no | — |
| 272 | C4×C8 | — | 7 | 1 | no | — |
| 273 | C4×C8 | — | 7 | 1 | no | — |
| 274 | C4×C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 275 | C22×C7 | — | 8 | 1 | no | — |
| 276 | C22×C7 | — | 8 | 1 | no | — |
| 277 | C22×C7 | — | 8 | 1 | no | — |
| 278 | C22×C7 | C22×D8 | 1 | 1 | yes | characteristic |
| 279 | C2×D7 | — | 2 | 1 | no | — |
| 280 | C2×D7 | — | 2 | 1 | no | — |
| 281 | C2×D7 | — | 8 | 1 | no | — |
| 282 | C2×D7 | — | 8 | 1 | no | — |
| 283 | C2×D7 | — | 8 | 1 | no | — |
| 284 | C2×D7 | #486 | 1 | 2 | yes | — |
| 285 | C4×C7 | — | 2 | 1 | no | — |
| 286 | C4×C7 | — | 2 | 1 | no | — |
| 287 | C4×C7 | — | 8 | 1 | no | — |
| 288 | C4×C7 | — | 8 | 2 | no | — |
| 289 | C4×C7 | C2×#124 | 1 | 1 | yes | characteristic |
| 290 | C4×C7 | C22×SD16 | 1 | 1 | yes | characteristic |
| 291 | Dic7 | — | 8 | 1 | no | — |
| 292 | Dic7 | — | 8 | 2 | no | — |
| 293 | Dic7 | #486 | 1 | 2 | yes | — |
| 294 | Dic7 | #509 | 1 | 2 | yes | — |
| 295 | Dic7 | #510 | 1 | 2 | yes | — |
| 296 | #41 | — | 28 | 2 | no | — |
| 297 | #41 | — | 28 | 2 | no | — |
| 298 | #41 | — | 28 | 2 | no | — |
| 299 | #41 | — | 28 | 2 | no | — |
| 300 | C2×Q8 | — | 2 | 1 | no | — |
| 301 | C2×Q8 | — | 4 | 1 | no | — |
| 302 | C2×Q8 | — | 14 | 1 | no | — |
| 303 | C2×Q8 | — | 28 | 2 | no | — |
| 304 | C2×Q8 | — | 28 | 1 | no | — |
| 305 | C2×Q8 | — | 56 | 4 | no | — |
| 306 | C2×D4 | — | 2 | 1 | no | — |
| 307 | C2×D4 | — | 14 | 1 | no | — |
| 308 | C2×D4 | — | 28 | 1 | no | — |
| 309 | C2×D4 | — | 28 | 1 | no | — |
| 310 | C2×D4 | — | 28 | 1 | no | — |
| 311 | C2×D4 | — | 28 | 1 | no | — |
| 312 | C22×C4 | — | 7 | 1 | no | — |
| 313 | C22×C4 | — | 7 | 1 | no | — |
| 314 | C22×C4 | — | 7 | 1 | no | — |
| 315 | C22×C4 | — | 28 | 1 | no | — |
| 316 | C22×C4 | — | 28 | 2 | no | — |
| 317 | C22×C4 | — | 28 | 1 | no | — |
| 318 | Q16 | — | 2 | 2 | no | — |
| 319 | Q16 | — | 14 | 2 | no | — |
| 320 | Q16 | — | 28 | 2 | no | — |
| 321 | SD16 | — | 4 | 2 | no | — |
| 322 | SD16 | — | 28 | 2 | no | — |
| 323 | SD16 | — | 28 | 2 | no | — |
| 324 | SD16 | — | 28 | 2 | no | — |
| 325 | D8 | — | 2 | 2 | no | — |
| 326 | D8 | — | 14 | 2 | no | — |
| 327 | D8 | — | 28 | 2 | no | — |
| 328 | C2×C8 | — | 7 | 1 | no | — |
| 329 | C2×C8 | — | 7 | 1 | no | — |
| 330 | C2×C8 | — | 7 | 4 | no | — |
| 331 | C2×C8 | — | 7 | 4 | no | — |
| 332 | C2×C8 | D4×D7 | 1 | 1 | yes | characteristic |
| 333 | C2×C8 | C23×D7 | 1 | 1 | yes | characteristic |
| 334 | C4⋊C4 | — | 2 | 2 | no | — |
| 335 | C4⋊C4 | — | 4 | 1 | no | — |
| 336 | C4⋊C4 | — | 14 | 2 | no | — |
| 337 | C4⋊C4 | — | 28 | 2 | no | — |
| 338 | C4⋊C4 | — | 28 | 2 | no | — |
| 339 | C4⋊C4 | — | 28 | 1 | no | — |
| 340 | C4⋊C4 | — | 28 | 1 | no | — |
| 341 | C4⋊C4 | — | 28 | 1 | no | — |
| 342 | C22⋊C4 | — | 4 | 1 | no | — |
| 343 | C22⋊C4 | — | 4 | 1 | no | — |
| 344 | C22⋊C4 | — | 28 | 1 | no | — |
| 345 | C22⋊C4 | — | 28 | 1 | no | — |
| 346 | C42 | — | 7 | 1 | no | — |
| 347 | C42 | — | 7 | 1 | no | — |
| 348 | C42 | — | 7 | 1 | no | — |
| 349 | C42 | D4×D7 | 1 | 1 | yes | characteristic |
| 350 | C16 | — | 2 | 2 | no | — |
| 351 | C16 | — | 14 | 2 | no | — |
| 352 | C2×C7 | — | 16 | 1 | no | — |
| 353 | C2×C7 | C2×#486 | 1 | 1 | yes | characteristic |
| 354 | C2×C7 | C2×#509 | 1 | 1 | yes | characteristic |
| 355 | C2×C7 | C2×#510 | 1 | 1 | yes | characteristic |
| 356 | D7 | — | 2 | 2 | no | — |
| 357 | D7 | — | 16 | 1 | no | — |
| 358 | C23 | — | 4 | 1 | no | — |
| 359 | C23 | — | 7 | 1 | no | — |
| 360 | C23 | — | 28 | 1 | no | — |
| 361 | Q8 | — | 4 | 1 | no | — |
| 362 | Q8 | — | 4 | 1 | no | — |
| 363 | Q8 | — | 8 | 2 | no | — |
| 364 | Q8 | — | 28 | 1 | no | — |
| 365 | Q8 | — | 28 | 1 | no | — |
| 366 | Q8 | — | 56 | 2 | no | — |
| 367 | Q8 | — | 56 | 4 | no | — |
| 368 | D4 | — | 4 | 1 | no | — |
| 369 | D4 | — | 4 | 1 | no | — |
| 370 | D4 | — | 28 | 1 | no | — |
| 371 | D4 | — | 28 | 1 | no | — |
| 372 | D4 | — | 56 | 2 | no | — |
| 373 | D4 | — | 56 | 2 | no | — |
| 374 | D4 | — | 56 | 2 | no | — |
| 375 | D4 | — | 56 | 2 | no | — |
| 376 | C2×C4 | — | 4 | 1 | no | — |
| 377 | C2×C4 | — | 4 | 2 | no | — |
| 378 | C2×C4 | — | 7 | 1 | no | — |
| 379 | C2×C4 | — | 7 | 1 | no | — |
| 380 | C2×C4 | — | 7 | 1 | no | — |
| 381 | C2×C4 | — | 7 | 2 | no | — |
| 382 | C2×C4 | — | 7 | 2 | no | — |
| 383 | C2×C4 | — | 14 | 2 | no | — |
| 384 | C2×C4 | — | 14 | 2 | no | — |
| 385 | C2×C4 | — | 28 | 1 | no | — |
| 386 | C2×C4 | — | 28 | 2 | no | — |
| 387 | C2×C4 | — | 56 | 2 | no | — |
| 388 | C2×C4 | — | 56 | 2 | no | — |
| 389 | C2×C4 | — | 56 | 4 | no | — |
| 390 | C2×C4 | D7×D8 | 1 | 1 | yes | characteristic |
| 391 | C2×C4 | D7×D8 | 1 | 1 | yes | characteristic |
| 392 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 393 | C8 | — | 7 | 2 | no | — |
| 394 | C8 | — | 7 | 2 | no | — |
| 395 | C8 | D7×SD16 | 1 | 2 | yes | — |
| 396 | C8 | D7×#41 | 1 | 2 | yes | — |
| 397 | C7 | #33707 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 398 | C22 | — | 7 | 2 | no | — |
| 399 | C22 | — | 8 | 1 | no | — |
| 400 | C22 | — | 8 | 1 | no | — |
| 401 | C22 | — | 8 | 1 | no | — |
| 402 | C22 | — | 14 | 1 | no | — |
| 403 | C22 | — | 14 | 1 | no | — |
| 404 | C22 | — | 56 | 1 | no | — |
| 405 | C22 | — | 56 | 1 | no | — |
| 406 | C22 | — | 56 | 1 | no | — |
| 407 | C22 | C2×D7×D8 | 1 | 1 | yes | characteristic |
| 408 | C4 | — | 2 | 1 | no | — |
| 409 | C4 | — | 2 | 1 | no | — |
| 410 | C4 | — | 7 | 2 | no | — |
| 411 | C4 | — | 7 | 2 | no | — |
| 412 | C4 | — | 7 | 2 | no | — |
| 413 | C4 | — | 8 | 2 | no | — |
| 414 | C4 | — | 8 | 1 | no | — |
| 415 | C4 | — | 56 | 2 | no | — |
| 416 | C4 | — | 56 | 1 | no | — |
| 417 | C4 | D7×#124 | 1 | 1 | yes | characteristic |
| 418 | C4 | C2×D7×SD16 | 1 | 1 | yes | characteristic |
| 419 | C2 | — | 14 | 2 | no | — |
| 420 | C2 | — | 16 | 1 | no | — |
| 421 | C2 | — | 112 | 1 | no | — |
| 422 | C2 | D7×#486 | 1 | 1 | yes | characteristic |
| 423 | C2 | D7×#509 | 1 | 1 | yes | characteristic |
| 424 | C2 | D7×#510 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta