| 1 | C7×#3573 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11744365 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #11744228 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11741565 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11741262 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11741257 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | #11741256 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | #11741255 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11741237 | C2 | 1 | 6 | yes | maximal, complemented |
| 10 | C2×#89917 | C2 | 1 | 6 | yes | maximal, complemented |
| 11 | #11741227 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C7×#585 | C22 | 1 | 1 | yes | characteristic |
| 13 | #90616 | C22 | 1 | 1 | yes | characteristic |
| 14 | C7×#568 | — | 2 | 4 | no | — |
| 15 | C7×#568 | C22 | 1 | 1 | yes | characteristic |
| 16 | C7×#568 | C22 | 1 | 6 | yes | complemented |
| 17 | C2×C7×#131 | — | 2 | 4 | no | — |
| 18 | C2×C7×#131 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C7×#131 | C22 | 1 | 6 | yes | complemented |
| 20 | #90529 | C4 | 1 | 4 | yes | complemented |
| 21 | #90528 | C4 | 1 | 4 | yes | complemented |
| 22 | #90527 | C4 | 1 | 4 | yes | complemented |
| 23 | #90526 | C4 | 1 | 4 | yes | complemented |
| 24 | #41×Dic7 | C22 | 1 | 1 | yes | characteristic |
| 25 | #90513 | C22 | 1 | 6 | yes | — |
| 26 | C2×#6513 | C22 | 1 | 6 | yes | — |
| 27 | #90510 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×#6511 | C22 | 1 | 1 | yes | characteristic |
| 29 | #90441 | — | 2 | 4 | no | — |
| 30 | D7×#131 | — | 2 | 4 | no | — |
| 31 | #90436 | C22 | 1 | 6 | yes | complemented |
| 32 | C2×#6464 | C22 | 1 | 6 | yes | complemented |
| 33 | #90008 | C22 | 1 | 6 | yes | complemented |
| 34 | C2×#6411 | C22 | 1 | 6 | yes | complemented |
| 35 | #89917 | C22 | 1 | 4 | yes | complemented |
| 36 | #89917 | C22 | 1 | 12 | yes | complemented |
| 37 | #89917 | C22 | 1 | 12 | yes | complemented |
| 38 | #89917 | C22 | 1 | 12 | yes | complemented |
| 39 | #89916 | C22 | 1 | 24 | yes | complemented |
| 40 | #89911 | C22 | 1 | 6 | yes | complemented |
| 41 | C2×#6399 | C22 | 1 | 6 | yes | complemented |
| 42 | #89896 | C22 | 1 | 6 | yes | complemented |
| 43 | C2×#6396 | C22 | 1 | 6 | yes | complemented |
| 44 | #89894 | C22 | 1 | 3 | yes | complemented |
| 45 | M16×Dic7 | C22 | 1 | 3 | yes | complemented |
| 46 | #89873 | C22 | 1 | 3 | yes | complemented |
| 47 | C2×#6389 | C22 | 1 | 3 | yes | complemented |
| 48 | #60184 | — | 7 | 1 | no | maximal, Sylow |
| 49 | C7×2−1+4 | — | 2 | 1 | no | — |
| 50 | C7×2−1+4 | C2×C4 | 1 | 4 | yes | — |
| 51 | C7×H(5,𝔽2) | — | 2 | 3 | no | — |
| 52 | C7×H(5,𝔽2) | C2×C4 | 1 | 4 | yes | — |
| 53 | C2×C7×#41 | — | 2 | 4 | no | — |
| 54 | C2×C7×#41 | C23 | 1 | 6 | yes | — |
| 55 | C2×C7×#41 | C23 | 1 | 1 | yes | characteristic |
| 56 | #6554 | C2×C4 | 1 | 4 | yes | — |
| 57 | #6553 | C2×C4 | 1 | 4 | yes | — |
| 58 | D7×#41 | — | 2 | 4 | no | — |
| 59 | #6551 | — | 2 | 1 | no | — |
| 60 | #6548 | — | 2 | 3 | no | — |
| 61 | C2×#1157 | C23 | 1 | 6 | yes | — |
| 62 | C7×#131 | — | 2 | 4 | no | — |
| 63 | C7×#131 | — | 2 | 12 | no | — |
| 64 | C7×#131 | — | 2 | 6 | no | — |
| 65 | C7×#131 | — | 2 | 6 | no | — |
| 66 | C7×#131 | D4 | 1 | 4 | yes | — |
| 67 | C7×#131 | D4 | 1 | 4 | yes | — |
| 68 | C7×#131 | C23 | 1 | 12 | yes | — |
| 69 | C7×#131 | C23 | 1 | 4 | yes | — |
| 70 | C2×C7×M16 | — | 2 | 12 | no | — |
| 71 | C2×C7×M16 | — | 2 | 6 | no | — |
| 72 | C2×C7×M16 | C23 | 1 | 6 | yes | — |
| 73 | C2×C7×M16 | C23 | 1 | 3 | yes | — |
| 74 | C22×C7×C8 | — | 2 | 6 | no | — |
| 75 | C22×C7×C8 | C23 | 1 | 3 | yes | — |
| 76 | #6514 | C2×C4 | 1 | 12 | yes | complemented |
| 77 | #6513 | C2×C4 | 1 | 12 | yes | complemented |
| 78 | #6513 | C2×C4 | 1 | 12 | yes | complemented |
| 79 | #6513 | C23 | 1 | 12 | yes | — |
| 80 | #6513 | C23 | 1 | 4 | yes | — |
| 81 | #6512 | C2×C4 | 1 | 12 | yes | complemented |
| 82 | #6511 | — | 2 | 4 | no | — |
| 83 | #6511 | C2×C4 | 1 | 4 | yes | — |
| 84 | #6511 | C2×C4 | 1 | 4 | yes | — |
| 85 | Q8×Dic7 | — | 2 | 1 | no | — |
| 86 | C2×#1144 | C2×C4 | 1 | 6 | yes | complemented |
| 87 | #6505 | C2×C4 | 1 | 12 | yes | complemented |
| 88 | C2×#1143 | C2×C4 | 1 | 6 | yes | complemented |
| 89 | D4×Dic7 | — | 2 | 3 | no | — |
| 90 | C2×#1142 | C2×C4 | 1 | 6 | yes | complemented |
| 91 | #6495 | C2×C4 | 1 | 12 | yes | complemented |
| 92 | C2×#1141 | C2×C4 | 1 | 6 | yes | complemented |
| 93 | #6489 | C23 | 1 | 3 | yes | — |
| 94 | C2×C4×Dic7 | C23 | 1 | 3 | yes | — |
| 95 | C2×#1136 | C23 | 1 | 6 | yes | — |
| 96 | C2×#1136 | C23 | 1 | 3 | yes | — |
| 97 | C22×C7⋊C8 | C23 | 1 | 3 | yes | — |
| 98 | #6470 | — | 2 | 12 | no | — |
| 99 | D7×M16 | — | 2 | 12 | no | — |
| 100 | #6464 | — | 2 | 6 | no | — |
| 101 | #6464 | — | 2 | 6 | no | — |
| 102 | #6464 | C23 | 1 | 12 | yes | — |
| 103 | #6464 | C23 | 1 | 4 | yes | — |
| 104 | C2×#1131 | — | 2 | 6 | no | — |
| 105 | C2×C8×D7 | — | 2 | 6 | no | — |
| 106 | #6411 | C23 | 1 | 12 | yes | — |
| 107 | #6411 | C23 | 1 | 4 | yes | — |
| 108 | #6399 | C23 | 1 | 4 | yes | — |
| 109 | #6399 | C23 | 1 | 12 | yes | — |
| 110 | #6396 | C23 | 1 | 4 | yes | — |
| 111 | #6396 | C23 | 1 | 12 | yes | — |
| 112 | #6389 | C23 | 1 | 1 | yes | characteristic |
| 113 | #6389 | C23 | 1 | 3 | yes | — |
| 114 | #6389 | C23 | 1 | 3 | yes | — |
| 115 | #6389 | C23 | 1 | 3 | yes | — |
| 116 | C8×Dic7 | C23 | 1 | 6 | yes | — |
| 117 | #3584 | — | 7 | 1 | no | — |
| 118 | #3573 | — | 7 | 1 | no | — |
| 119 | #3573 | D7 | 1 | 1 | yes | characteristic, complemented |
| 120 | #2957 | — | 7 | 6 | no | — |
| 121 | #2956 | — | 7 | 6 | no | — |
| 122 | #2955 | — | 7 | 6 | no | — |
| 123 | C2×#444 | — | 7 | 6 | no | — |
| 124 | #2916 | — | 7 | 1 | no | — |
| 125 | #2901 | — | 7 | 1 | no | — |
| 126 | #2901 | — | 7 | 1 | no | — |
| 127 | #2875 | — | 7 | 1 | no | — |
| 128 | C7×#41 | — | 2 | 4 | no | — |
| 129 | C7×#41 | — | 2 | 12 | no | — |
| 130 | C7×#41 | — | 2 | 6 | no | — |
| 131 | C7×#41 | — | 2 | 6 | no | — |
| 132 | C7×#41 | C22×C4 | 1 | 12 | yes | — |
| 133 | C7×#41 | C22×C4 | 1 | 4 | yes | — |
| 134 | C7×#41 | C2×D4 | 1 | 4 | yes | — |
| 135 | C7×#41 | C24 | 1 | 4 | yes | — |
| 136 | C2×C7×Q8 | — | 2 | 4 | no | — |
| 137 | C2×C7×Q8 | C22×C4 | 1 | 6 | yes | — |
| 138 | C2×C7×Q8 | #41 | 1 | 1 | yes | characteristic |
| 139 | C2×C7×D4 | — | 2 | 6 | no | — |
| 140 | C2×C7×D4 | — | 2 | 12 | no | — |
| 141 | C2×C7×D4 | C22×C4 | 1 | 6 | yes | — |
| 142 | C2×C7×D4 | #41 | 1 | 3 | yes | — |
| 143 | C22×C4×C7 | — | 2 | 6 | no | — |
| 144 | C22×C4×C7 | C24 | 1 | 3 | yes | — |
| 145 | C2×C22⋊D7 | — | 2 | 6 | no | — |
| 146 | C22×Dic7 | — | 2 | 3 | no | — |
| 147 | #1161 | — | 2 | 4 | no | — |
| 148 | Q8×D7 | — | 2 | 4 | no | — |
| 149 | #1159 | — | 2 | 12 | no | — |
| 150 | D4×D7 | — | 2 | 12 | no | — |
| 151 | #1157 | — | 2 | 6 | no | — |
| 152 | #1157 | — | 2 | 6 | no | — |
| 153 | #1157 | C22×C4 | 1 | 12 | yes | — |
| 154 | #1157 | C24 | 1 | 4 | yes | — |
| 155 | C2×D28 | C22×C4 | 1 | 6 | yes | — |
| 156 | C2×C4×D7 | — | 2 | 6 | no | — |
| 157 | C2×Dic14 | C22×C4 | 1 | 6 | yes | — |
| 158 | C7×M16 | — | 2 | 6 | no | — |
| 159 | C7×M16 | — | 2 | 4 | no | — |
| 160 | C7×M16 | — | 2 | 12 | no | — |
| 161 | C7×M16 | C2×D4 | 1 | 12 | yes | — |
| 162 | C7×M16 | C24 | 1 | 4 | yes | — |
| 163 | C2×C7×C8 | — | 2 | 6 | no | — |
| 164 | C2×C7×C8 | — | 2 | 4 | no | — |
| 165 | C2×C7×C8 | — | 2 | 12 | no | — |
| 166 | C2×C7×C8 | C2×D4 | 1 | 6 | yes | — |
| 167 | C2×C7×C8 | C2×D4 | 1 | 6 | yes | — |
| 168 | C2×C7×C8 | C24 | 1 | 1 | yes | characteristic |
| 169 | C2×C7×C8 | C24 | 1 | 3 | yes | — |
| 170 | C22⋊Dic7 | — | 2 | 3 | no | — |
| 171 | #1144 | C22×C4 | 1 | 12 | yes | — |
| 172 | #1144 | C22×C4 | 1 | 4 | yes | — |
| 173 | #1143 | C22×C4 | 1 | 4 | yes | — |
| 174 | #1143 | C22×C4 | 1 | 12 | yes | — |
| 175 | #1142 | C22×C4 | 1 | 12 | yes | — |
| 176 | #1142 | C22×C4 | 1 | 4 | yes | — |
| 177 | #1141 | C22×C4 | 1 | 4 | yes | — |
| 178 | #1141 | C22×C4 | 1 | 12 | yes | — |
| 179 | C4⋊Dic7 | — | 2 | 3 | no | — |
| 180 | C4×Dic7 | — | 2 | 3 | no | — |
| 181 | C4×Dic7 | C24 | 1 | 1 | yes | characteristic |
| 182 | C4×Dic7 | C24 | 1 | 3 | yes | — |
| 183 | #1136 | — | 2 | 6 | no | — |
| 184 | #1136 | C22×C4 | 1 | 12 | yes | — |
| 185 | #1136 | C24 | 1 | 4 | yes | — |
| 186 | C2×C7⋊C8 | — | 2 | 6 | no | — |
| 187 | C2×C7⋊C8 | C22×C4 | 1 | 6 | yes | — |
| 188 | C2×C7⋊C8 | C22×C4 | 1 | 6 | yes | — |
| 189 | C2×C7⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 190 | C2×C7⋊C8 | C24 | 1 | 3 | yes | — |
| 191 | #1131 | — | 2 | 4 | no | — |
| 192 | #1131 | — | 2 | 12 | no | — |
| 193 | C8×D7 | — | 2 | 4 | no | — |
| 194 | C8×D7 | — | 2 | 12 | no | — |
| 195 | #585 | — | 7 | 1 | no | — |
| 196 | #585 | C2×D7 | 1 | 1 | yes | characteristic |
| 197 | #578 | — | 7 | 4 | no | — |
| 198 | #577 | — | 7 | 4 | no | — |
| 199 | #577 | — | 7 | 4 | no | — |
| 200 | #576 | — | 7 | 4 | no | — |
| 201 | #575 | — | 7 | 6 | no | — |
| 202 | C2×#135 | — | 7 | 6 | no | — |
| 203 | #568 | — | 2 | 4 | no | — |
| 204 | #568 | — | 7 | 1 | no | — |
| 205 | #568 | — | 7 | 6 | no | — |
| 206 | #568 | — | 14 | 4 | no | — |
| 207 | #568 | C2×D7 | 1 | 1 | yes | characteristic |
| 208 | #568 | C2×D7 | 1 | 6 | yes | complemented |
| 209 | C2×#131 | — | 2 | 4 | no | — |
| 210 | C2×#131 | — | 7 | 1 | no | — |
| 211 | C2×#131 | — | 7 | 6 | no | — |
| 212 | C2×#131 | — | 14 | 4 | no | — |
| 213 | C2×#131 | C2×D7 | 1 | 1 | yes | characteristic |
| 214 | C2×#131 | C2×D7 | 1 | 6 | yes | complemented |
| 215 | C4×#41 | — | 7 | 1 | no | — |
| 216 | #444 | — | 7 | 4 | no | — |
| 217 | #444 | — | 7 | 12 | no | — |
| 218 | #444 | — | 7 | 12 | no | — |
| 219 | #444 | — | 7 | 12 | no | — |
| 220 | #443 | — | 7 | 24 | no | — |
| 221 | #430 | — | 7 | 6 | no | — |
| 222 | C2×#108 | — | 7 | 6 | no | — |
| 223 | #421 | — | 7 | 6 | no | — |
| 224 | #421 | — | 7 | 6 | no | — |
| 225 | C2×#104 | — | 7 | 6 | no | — |
| 226 | C2×#104 | — | 7 | 6 | no | — |
| 227 | #405 | — | 7 | 3 | no | — |
| 228 | #405 | — | 7 | 3 | no | — |
| 229 | C4×M16 | — | 7 | 3 | no | — |
| 230 | C2×#97 | — | 7 | 3 | no | — |
| 231 | C23×C7 | — | 2 | 6 | no | — |
| 232 | C23×C7 | C2×#41 | 1 | 3 | yes | — |
| 233 | C22×D7 | — | 2 | 6 | no | — |
| 234 | C7×Q8 | — | 2 | 6 | no | — |
| 235 | C7×Q8 | C4×D4 | 1 | 4 | yes | — |
| 236 | C7×Q8 | C23×C4 | 1 | 4 | yes | — |
| 237 | C7×D4 | — | 2 | 12 | no | — |
| 238 | C7×D4 | — | 2 | 4 | no | — |
| 239 | C7×D4 | — | 2 | 6 | no | — |
| 240 | C7×D4 | C4×D4 | 1 | 12 | yes | — |
| 241 | C7×D4 | C23×C4 | 1 | 4 | yes | — |
| 242 | C2×C4×C7 | — | 2 | 6 | no | — |
| 243 | C2×C4×C7 | — | 2 | 12 | no | — |
| 244 | C2×C4×C7 | — | 2 | 4 | no | — |
| 245 | C2×C4×C7 | C23×C4 | 1 | 6 | yes | — |
| 246 | C2×C4×C7 | C22×D4 | 1 | 6 | yes | — |
| 247 | C2×C4×C7 | C2×#41 | 1 | 3 | yes | — |
| 248 | C2×C4×C7 | C25 | 1 | 1 | yes | characteristic |
| 249 | C22⋊D7 | — | 2 | 12 | no | — |
| 250 | C22⋊D7 | — | 2 | 4 | no | — |
| 251 | C2×Dic7 | — | 2 | 6 | no | — |
| 252 | C2×Dic7 | — | 2 | 1 | no | — |
| 253 | C2×Dic7 | — | 2 | 3 | no | — |
| 254 | C2×Dic7 | — | 8 | 3 | no | — |
| 255 | D28 | — | 2 | 6 | no | — |
| 256 | D28 | C23×C4 | 1 | 4 | yes | — |
| 257 | C4×D7 | — | 2 | 12 | no | — |
| 258 | C4×D7 | — | 2 | 4 | no | — |
| 259 | Dic14 | — | 2 | 6 | no | — |
| 260 | Dic14 | C23×C4 | 1 | 4 | yes | — |
| 261 | C7×C8 | — | 2 | 4 | no | — |
| 262 | C7×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 263 | C7×C8 | C22×D4 | 1 | 6 | yes | — |
| 264 | C7×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 265 | C7⋊C8 | — | 2 | 4 | no | — |
| 266 | C7⋊C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 267 | C7⋊C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 268 | C7⋊C8 | C23×C4 | 1 | 6 | yes | — |
| 269 | 2−1+4 | — | 2 | 1 | no | — |
| 270 | 2−1+4 | — | 7 | 4 | no | — |
| 271 | 2−1+4 | — | 14 | 1 | no | — |
| 272 | 2−1+4 | C4×D7 | 1 | 4 | yes | — |
| 273 | H(5,𝔽2) | — | 2 | 3 | no | — |
| 274 | H(5,𝔽2) | — | 7 | 4 | no | — |
| 275 | H(5,𝔽2) | — | 14 | 3 | no | — |
| 276 | H(5,𝔽2) | C4×D7 | 1 | 4 | yes | — |
| 277 | C2×#41 | — | 2 | 4 | no | — |
| 278 | C2×#41 | — | 7 | 6 | no | — |
| 279 | C2×#41 | — | 14 | 4 | no | — |
| 280 | C2×#41 | C22×D7 | 1 | 6 | yes | — |
| 281 | C2×#41 | C22×D7 | 1 | 1 | yes | characteristic |
| 282 | #137 | — | 7 | 12 | no | — |
| 283 | #137 | — | 7 | 12 | no | — |
| 284 | AGL(1,ℤ/8) | — | 7 | 12 | no | — |
| 285 | AGL(1,ℤ/8) | — | 7 | 12 | no | — |
| 286 | #135 | — | 7 | 12 | no | — |
| 287 | #135 | — | 7 | 12 | no | — |
| 288 | #135 | — | 7 | 4 | no | — |
| 289 | #135 | — | 7 | 12 | no | — |
| 290 | C2×Q16 | — | 7 | 6 | no | — |
| 291 | C2×SD16 | — | 7 | 6 | no | — |
| 292 | C2×SD16 | — | 7 | 6 | no | — |
| 293 | C2×D8 | — | 7 | 6 | no | — |
| 294 | #131 | — | 2 | 4 | no | — |
| 295 | #131 | — | 2 | 12 | no | — |
| 296 | #131 | — | 2 | 6 | no | — |
| 297 | #131 | — | 2 | 6 | no | — |
| 298 | #131 | — | 7 | 4 | no | — |
| 299 | #131 | — | 7 | 4 | no | — |
| 300 | #131 | — | 7 | 4 | no | — |
| 301 | #131 | — | 7 | 12 | no | — |
| 302 | #131 | — | 14 | 4 | no | — |
| 303 | #131 | — | 14 | 12 | no | — |
| 304 | #131 | — | 14 | 6 | no | — |
| 305 | #131 | — | 14 | 6 | no | — |
| 306 | #131 | C22⋊D7 | 1 | 4 | yes | — |
| 307 | #131 | C22⋊D7 | 1 | 4 | yes | — |
| 308 | #131 | C22×D7 | 1 | 4 | yes | — |
| 309 | #131 | C22×D7 | 1 | 12 | yes | — |
| 310 | C2×M16 | — | 2 | 12 | no | — |
| 311 | C2×M16 | — | 2 | 6 | no | — |
| 312 | C2×M16 | — | 7 | 3 | no | — |
| 313 | C2×M16 | — | 7 | 6 | no | — |
| 314 | C2×M16 | — | 14 | 12 | no | — |
| 315 | C2×M16 | — | 14 | 6 | no | — |
| 316 | C2×M16 | C22×D7 | 1 | 6 | yes | — |
| 317 | C2×M16 | C22×D7 | 1 | 3 | yes | — |
| 318 | C22×C8 | — | 2 | 6 | no | — |
| 319 | C22×C8 | — | 7 | 3 | no | — |
| 320 | C22×C8 | — | 14 | 6 | no | — |
| 321 | C22×C8 | C22×D7 | 1 | 3 | yes | — |
| 322 | C4×Q8 | — | 14 | 1 | no | — |
| 323 | C4×D4 | — | 14 | 3 | no | — |
| 324 | #117 | — | 7 | 3 | no | — |
| 325 | C2×C42 | — | 7 | 3 | no | — |
| 326 | #108 | — | 7 | 4 | no | — |
| 327 | #108 | — | 7 | 12 | no | — |
| 328 | #104 | — | 7 | 4 | no | — |
| 329 | #104 | — | 7 | 12 | no | — |
| 330 | #104 | — | 7 | 4 | no | — |
| 331 | #104 | — | 7 | 12 | no | — |
| 332 | #97 | — | 7 | 1 | no | — |
| 333 | #97 | — | 7 | 3 | no | — |
| 334 | #97 | — | 7 | 3 | no | — |
| 335 | #97 | — | 7 | 3 | no | — |
| 336 | C4×C8 | — | 7 | 6 | no | — |
| 337 | C22×C7 | — | 2 | 4 | no | — |
| 338 | C22×C7 | — | 4 | 3 | no | — |
| 339 | C22×C7 | — | 8 | 6 | no | — |
| 340 | C22×C7 | C2×C4×D4 | 1 | 6 | yes | — |
| 341 | C22×C7 | C22×#41 | 1 | 1 | yes | characteristic |
| 342 | C2×D7 | — | 2 | 4 | no | — |
| 343 | C2×D7 | — | 8 | 6 | no | — |
| 344 | C4×C7 | — | 2 | 4 | no | — |
| 345 | C4×C7 | C2×C4×D4 | 1 | 6 | yes | — |
| 346 | C4×C7 | C24×C4 | 1 | 1 | yes | characteristic |
| 347 | C4×C7 | C23×D4 | 1 | 1 | yes | characteristic |
| 348 | Dic7 | — | 2 | 4 | no | — |
| 349 | Dic7 | — | 4 | 3 | no | — |
| 350 | Dic7 | — | 4 | 1 | no | — |
| 351 | #41 | — | 2 | 4 | no | — |
| 352 | #41 | — | 2 | 12 | no | — |
| 353 | #41 | — | 2 | 6 | no | — |
| 354 | #41 | — | 2 | 6 | no | — |
| 355 | #41 | — | 7 | 12 | no | — |
| 356 | #41 | — | 7 | 4 | no | — |
| 357 | #41 | — | 14 | 4 | no | — |
| 358 | #41 | — | 14 | 12 | no | — |
| 359 | #41 | — | 14 | 6 | no | — |
| 360 | #41 | — | 14 | 6 | no | — |
| 361 | #41 | C2×C4×D7 | 1 | 12 | yes | — |
| 362 | #41 | C2×C4×D7 | 1 | 4 | yes | — |
| 363 | #41 | C2×C22⋊D7 | 1 | 4 | yes | — |
| 364 | #41 | C23×D7 | 1 | 4 | yes | — |
| 365 | C2×Q8 | — | 2 | 4 | no | — |
| 366 | C2×Q8 | — | 7 | 6 | no | — |
| 367 | C2×Q8 | — | 14 | 4 | no | — |
| 368 | C2×Q8 | C2×C4×D7 | 1 | 6 | yes | — |
| 369 | C2×Q8 | #1157 | 1 | 1 | yes | characteristic |
| 370 | C2×D4 | — | 2 | 6 | no | — |
| 371 | C2×D4 | — | 2 | 12 | no | — |
| 372 | C2×D4 | — | 7 | 6 | no | — |
| 373 | C2×D4 | — | 14 | 6 | no | — |
| 374 | C2×D4 | — | 14 | 12 | no | — |
| 375 | C2×D4 | C2×C4×D7 | 1 | 6 | yes | — |
| 376 | C2×D4 | #1157 | 1 | 3 | yes | — |
| 377 | C22×C4 | — | 2 | 6 | no | — |
| 378 | C22×C4 | — | 14 | 6 | no | — |
| 379 | C22×C4 | — | 14 | 3 | no | — |
| 380 | C22×C4 | C23×D7 | 1 | 3 | yes | — |
| 381 | Q16 | — | 7 | 4 | no | — |
| 382 | Q16 | — | 7 | 12 | no | — |
| 383 | SD16 | — | 7 | 4 | no | — |
| 384 | SD16 | — | 7 | 12 | no | — |
| 385 | SD16 | — | 7 | 4 | no | — |
| 386 | SD16 | — | 7 | 12 | no | — |
| 387 | D8 | — | 7 | 4 | no | — |
| 388 | D8 | — | 7 | 12 | no | — |
| 389 | M16 | — | 2 | 6 | no | — |
| 390 | M16 | — | 2 | 12 | no | — |
| 391 | M16 | — | 2 | 4 | no | — |
| 392 | M16 | — | 7 | 12 | no | — |
| 393 | M16 | — | 7 | 4 | no | — |
| 394 | M16 | — | 14 | 6 | no | — |
| 395 | M16 | — | 14 | 4 | no | — |
| 396 | M16 | — | 14 | 12 | no | — |
| 397 | M16 | C2×C22⋊D7 | 1 | 12 | yes | — |
| 398 | M16 | C23×D7 | 1 | 4 | yes | — |
| 399 | C2×C8 | — | 2 | 6 | no | — |
| 400 | C2×C8 | — | 2 | 4 | no | — |
| 401 | C2×C8 | — | 2 | 12 | no | — |
| 402 | C2×C8 | — | 7 | 6 | no | — |
| 403 | C2×C8 | — | 7 | 6 | no | — |
| 404 | C2×C8 | — | 7 | 3 | no | — |
| 405 | C2×C8 | — | 7 | 1 | no | — |
| 406 | C2×C8 | — | 14 | 6 | no | — |
| 407 | C2×C8 | — | 14 | 4 | no | — |
| 408 | C2×C8 | — | 14 | 12 | no | — |
| 409 | C2×C8 | C2×C22⋊D7 | 1 | 6 | yes | — |
| 410 | C2×C8 | C2×C22⋊D7 | 1 | 6 | yes | — |
| 411 | C2×C8 | C23×D7 | 1 | 3 | yes | — |
| 412 | C2×C8 | C23×D7 | 1 | 1 | yes | characteristic |
| 413 | C4⋊C4 | — | 14 | 3 | no | — |
| 414 | C22⋊C4 | — | 14 | 3 | no | — |
| 415 | C42 | — | 7 | 3 | no | — |
| 416 | C42 | — | 7 | 1 | no | — |
| 417 | C42 | — | 14 | 3 | no | — |
| 418 | C2×C7 | — | 2 | 1 | no | — |
| 419 | C2×C7 | — | 2 | 6 | no | — |
| 420 | C2×C7 | — | 4 | 4 | no | — |
| 421 | C2×C7 | C22×C4×D4 | 1 | 1 | yes | characteristic |
| 422 | D7 | — | 4 | 4 | no | — |
| 423 | C23 | — | 2 | 6 | no | — |
| 424 | C23 | — | 14 | 6 | no | — |
| 425 | C23 | C2×#1157 | 1 | 3 | yes | — |
| 426 | Q8 | — | 2 | 6 | no | — |
| 427 | Q8 | — | 7 | 4 | no | — |
| 428 | Q8 | — | 14 | 6 | no | — |
| 429 | Q8 | C4×C22⋊D7 | 1 | 4 | yes | — |
| 430 | Q8 | C22×C4×D7 | 1 | 4 | yes | — |
| 431 | D4 | — | 2 | 12 | no | — |
| 432 | D4 | — | 2 | 4 | no | — |
| 433 | D4 | — | 2 | 6 | no | — |
| 434 | D4 | — | 7 | 4 | no | — |
| 435 | D4 | — | 14 | 12 | no | — |
| 436 | D4 | — | 14 | 4 | no | — |
| 437 | D4 | — | 14 | 6 | no | — |
| 438 | D4 | C4×C22⋊D7 | 1 | 12 | yes | — |
| 439 | D4 | C22×C4×D7 | 1 | 4 | yes | — |
| 440 | C2×C4 | — | 2 | 6 | no | — |
| 441 | C2×C4 | — | 2 | 12 | no | — |
| 442 | C2×C4 | — | 2 | 4 | no | — |
| 443 | C2×C4 | — | 14 | 6 | no | — |
| 444 | C2×C4 | — | 14 | 12 | no | — |
| 445 | C2×C4 | — | 14 | 4 | no | — |
| 446 | C2×C4 | — | 14 | 1 | no | — |
| 447 | C2×C4 | — | 14 | 3 | no | — |
| 448 | C2×C4 | — | 56 | 3 | no | — |
| 449 | C2×C4 | C22×C4×D7 | 1 | 6 | yes | — |
| 450 | C2×C4 | C2×#1157 | 1 | 3 | yes | — |
| 451 | C2×C4 | C22×C22⋊D7 | 1 | 6 | yes | — |
| 452 | C2×C4 | C24×D7 | 1 | 1 | yes | characteristic |
| 453 | C8 | — | 2 | 4 | no | — |
| 454 | C8 | — | 7 | 1 | no | — |
| 455 | C8 | — | 7 | 1 | no | — |
| 456 | C8 | — | 7 | 6 | no | — |
| 457 | C8 | — | 14 | 4 | no | — |
| 458 | C8 | C22×C22⋊D7 | 1 | 1 | yes | characteristic |
| 459 | C8 | C22×C22⋊D7 | 1 | 6 | yes | — |
| 460 | C8 | C22×C22⋊D7 | 1 | 1 | yes | characteristic |
| 461 | C7 | #60184 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 462 | C22 | — | 2 | 4 | no | — |
| 463 | C22 | — | 4 | 3 | no | — |
| 464 | C22 | — | 8 | 6 | no | — |
| 465 | C22 | — | 14 | 4 | no | — |
| 466 | C22 | — | 56 | 6 | no | — |
| 467 | C22 | C2×C4×C22⋊D7 | 1 | 6 | yes | — |
| 468 | C22 | C22×#1157 | 1 | 1 | yes | characteristic |
| 469 | C4 | — | 2 | 4 | no | — |
| 470 | C4 | — | 14 | 4 | no | — |
| 471 | C4 | — | 28 | 1 | no | — |
| 472 | C4 | — | 28 | 3 | no | — |
| 473 | C4 | C2×C4×C22⋊D7 | 1 | 6 | yes | — |
| 474 | C4 | C23×C4×D7 | 1 | 1 | yes | characteristic |
| 475 | C4 | C23×C22⋊D7 | 1 | 1 | yes | characteristic |
| 476 | C2 | — | 2 | 1 | no | — |
| 477 | C2 | — | 2 | 6 | no | — |
| 478 | C2 | — | 4 | 4 | no | — |
| 479 | C2 | — | 28 | 4 | no | — |
| 480 | C2 | C22×C4×C22⋊D7 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta