| 1 | #11740008 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #11740004 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11736689 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11736327 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | C7×#1860 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11728430 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11728138 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #11728130 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11728053 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11727316 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11727312 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11726755 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11726750 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11726528 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11726517 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#6553 | C22 | 1 | 1 | yes | characteristic |
| 17 | C7×#520 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#6511 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#6470 | C22 | 1 | 1 | yes | characteristic |
| 20 | #90210 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #90195 | C22 | 1 | 1 | yes | characteristic |
| 22 | C7×#428 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C2×C7×#104 | C22 | 1 | 1 | yes | characteristic |
| 24 | C7×#417 | C22 | 1 | 1 | yes | characteristic |
| 25 | C7×#382 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #90005 | C22 | 1 | 1 | yes | characteristic |
| 27 | #90004 | C22 | 1 | 1 | yes | characteristic |
| 28 | #89905 | C22 | 1 | 1 | yes | characteristic |
| 29 | #89903 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#6397 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×#6396 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C2×#6396 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #89891 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #89794 | — | 2 | 1 | no | — |
| 35 | #89793 | — | 2 | 1 | no | — |
| 36 | #89781 | — | 2 | 1 | no | — |
| 37 | #89779 | — | 2 | 1 | no | — |
| 38 | #89774 | — | 2 | 1 | no | — |
| 39 | #89774 | C22 | 1 | 1 | yes | characteristic |
| 40 | #89773 | — | 2 | 1 | no | — |
| 41 | #89773 | C22 | 1 | 1 | yes | characteristic |
| 42 | #89771 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #89738 | — | 2 | 1 | no | — |
| 44 | #89738 | C22 | 1 | 1 | yes | characteristic |
| 45 | C2×#6383 | — | 2 | 1 | no | — |
| 46 | C2×#6383 | C22 | 1 | 1 | yes | characteristic |
| 47 | C2×#6383 | C22 | 1 | 1 | yes | characteristic |
| 48 | #89736 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C2×#6382 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | C2×#6381 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #89711 | C22 | 1 | 1 | yes | characteristic |
| 52 | C2×#6379 | C22 | 1 | 1 | yes | characteristic |
| 53 | #89663 | — | 2 | 1 | no | — |
| 54 | #89649 | — | 2 | 1 | no | — |
| 55 | #89642 | — | 2 | 1 | no | — |
| 56 | #89626 | — | 2 | 1 | no | — |
| 57 | #89576 | — | 2 | 1 | no | — |
| 58 | #89575 | — | 2 | 1 | no | — |
| 59 | #89542 | — | 2 | 1 | no | — |
| 60 | D7×#102 | — | 2 | 1 | no | — |
| 61 | C7×#343 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | C7×#339 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | #89349 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #89325 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | #89319 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #89318 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | #25984 | — | 7 | 1 | no | maximal, Sylow |
| 68 | C2×C7×#41 | C23 | 1 | 1 | yes | characteristic |
| 69 | #6553 | — | 2 | 2 | no | — |
| 70 | #6553 | — | 2 | 2 | no | — |
| 71 | #6553 | — | 4 | 1 | no | — |
| 72 | #6553 | Q8 | 1 | 4 | yes | complemented |
| 73 | C2×#1161 | — | 2 | 1 | no | — |
| 74 | C2×D4×D7 | — | 2 | 1 | no | — |
| 75 | C2×D4×D7 | — | 4 | 1 | no | — |
| 76 | C2×#1157 | — | 2 | 1 | no | — |
| 77 | C2×#1157 | C23 | 1 | 1 | yes | characteristic |
| 78 | C22×D28 | — | 2 | 1 | no | — |
| 79 | C22×D28 | C23 | 1 | 1 | yes | characteristic |
| 80 | C2×C7×M16 | C23 | 1 | 1 | yes | characteristic |
| 81 | C2×C7×M16 | C23 | 1 | 1 | yes | characteristic |
| 82 | C4×C7×Q8 | — | 2 | 1 | no | — |
| 83 | C4×C7×D4 | — | 2 | 1 | no | — |
| 84 | C4×C7×D4 | — | 4 | 1 | no | — |
| 85 | C7×#117 | — | 2 | 1 | no | — |
| 86 | C7×#117 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×C7×C4⋊C4 | — | 2 | 1 | no | — |
| 88 | C2×C7×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 89 | C2×C7×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×C42×C7 | C23 | 1 | 1 | yes | characteristic |
| 91 | #6511 | — | 2 | 2 | no | — |
| 92 | #6511 | — | 4 | 1 | no | — |
| 93 | C4×C22⋊D7 | — | 4 | 1 | no | — |
| 94 | C2×(C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 95 | #6489 | C23 | 1 | 1 | yes | characteristic |
| 96 | C2×C4⋊Dic7 | C23 | 1 | 1 | yes | characteristic |
| 97 | C2×#1136 | — | 2 | 1 | no | — |
| 98 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 99 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 100 | C22×C7⋊C8 | — | 2 | 1 | no | — |
| 101 | C22×C7⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 102 | C22×C7⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 103 | #6470 | — | 2 | 2 | no | — |
| 104 | #6470 | — | 4 | 1 | no | — |
| 105 | C2×#1131 | — | 2 | 1 | no | — |
| 106 | C2×C8×D7 | — | 2 | 1 | no | — |
| 107 | #6456 | — | 2 | 1 | no | — |
| 108 | #6455 | — | 2 | 1 | no | — |
| 109 | D7×C4⋊C4 | — | 2 | 1 | no | — |
| 110 | #6453 | — | 2 | 1 | no | — |
| 111 | #6451 | — | 2 | 1 | no | — |
| 112 | #6450 | — | 2 | 1 | no | — |
| 113 | #6441 | — | 4 | 1 | no | — |
| 114 | #6433 | — | 2 | 1 | no | — |
| 115 | #6432 | — | 2 | 1 | no | — |
| 116 | C7×#107 | — | 2 | 1 | no | — |
| 117 | C7×#106 | — | 2 | 1 | no | — |
| 118 | C7×#104 | — | 2 | 2 | no | — |
| 119 | C7×#103 | — | 2 | 1 | no | — |
| 120 | C7×#102 | — | 2 | 1 | no | — |
| 121 | C7×#95 | — | 4 | 1 | no | — |
| 122 | #6409 | — | 2 | 1 | no | — |
| 123 | #6409 | D4 | 1 | 1 | yes | characteristic |
| 124 | #6409 | D4 | 1 | 1 | yes | characteristic |
| 125 | #6406 | — | 2 | 1 | no | — |
| 126 | #6406 | D4 | 1 | 1 | yes | characteristic |
| 127 | #6406 | D4 | 1 | 1 | yes | characteristic |
| 128 | #6397 | — | 4 | 1 | no | — |
| 129 | #6396 | — | 4 | 1 | no | — |
| 130 | #6396 | — | 4 | 1 | no | — |
| 131 | #6395 | — | 2 | 1 | no | — |
| 132 | #6395 | — | 2 | 1 | no | — |
| 133 | #6395 | — | 2 | 1 | no | — |
| 134 | #6390 | — | 2 | 1 | no | — |
| 135 | Dic7⋊C8 | — | 2 | 1 | no | — |
| 136 | Dic7⋊C8 | — | 2 | 1 | no | — |
| 137 | #6384 | — | 2 | 1 | no | — |
| 138 | #6384 | D4 | 1 | 1 | yes | characteristic |
| 139 | #6384 | D4 | 1 | 1 | yes | characteristic |
| 140 | #6383 | — | 2 | 1 | no | — |
| 141 | #6383 | — | 2 | 1 | no | — |
| 142 | #6383 | — | 2 | 1 | no | — |
| 143 | #6383 | — | 2 | 1 | no | — |
| 144 | #6383 | — | 2 | 1 | no | — |
| 145 | #6383 | — | 2 | 1 | no | — |
| 146 | #6383 | — | 2 | 1 | no | — |
| 147 | #6383 | D4 | 1 | 1 | yes | characteristic |
| 148 | #6383 | D4 | 1 | 1 | yes | characteristic |
| 149 | #6382 | — | 2 | 1 | no | — |
| 150 | #6382 | — | 2 | 1 | no | — |
| 151 | #6382 | — | 2 | 1 | no | — |
| 152 | #6381 | — | 2 | 1 | no | — |
| 153 | #6381 | — | 2 | 1 | no | — |
| 154 | #6381 | — | 2 | 1 | no | — |
| 155 | #6379 | — | 2 | 2 | no | — |
| 156 | C4⋊(C7⋊C8) | — | 2 | 1 | no | — |
| 157 | C4⋊(C7⋊C8) | — | 2 | 1 | no | — |
| 158 | #3084 | — | 7 | 1 | no | — |
| 159 | #3083 | — | 7 | 1 | no | — |
| 160 | #2897 | — | 7 | 1 | no | — |
| 161 | #2897 | — | 7 | 1 | no | — |
| 162 | #2092 | — | 7 | 1 | no | — |
| 163 | #2063 | — | 7 | 1 | no | — |
| 164 | #2063 | — | 7 | 1 | no | — |
| 165 | #2027 | — | 7 | 1 | no | — |
| 166 | #1866 | — | 7 | 1 | no | — |
| 167 | #1866 | — | 7 | 1 | no | — |
| 168 | #1860 | — | 7 | 1 | no | — |
| 169 | #1860 | D7 | 1 | 1 | yes | characteristic, complemented |
| 170 | #1816 | — | 7 | 1 | no | — |
| 171 | #1815 | — | 7 | 1 | no | — |
| 172 | #1792 | — | 7 | 1 | no | — |
| 173 | C23×D7 | — | 2 | 1 | no | — |
| 174 | C23×D7 | — | 4 | 1 | no | — |
| 175 | C7×#41 | — | 2 | 1 | no | — |
| 176 | C7×#41 | — | 2 | 1 | no | — |
| 177 | C7×#41 | C2×Q8 | 1 | 2 | yes | — |
| 178 | C7×#41 | #41 | 1 | 2 | yes | — |
| 179 | C2×C7×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 180 | C2×C7×D4 | — | 2 | 1 | no | — |
| 181 | C2×C7×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 182 | C22×C4×C7 | — | 2 | 1 | no | — |
| 183 | C22×C4×C7 | — | 2 | 1 | no | — |
| 184 | C22×C4×C7 | — | 2 | 1 | no | — |
| 185 | C22×C4×C7 | — | 2 | 1 | no | — |
| 186 | C22×C4×C7 | — | 4 | 1 | no | — |
| 187 | C22×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 188 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 189 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 190 | C22×Dic7 | — | 2 | 1 | no | — |
| 191 | #1161 | — | 2 | 4 | no | — |
| 192 | #1161 | — | 4 | 2 | no | — |
| 193 | D4×D7 | — | 2 | 4 | no | — |
| 194 | D4×D7 | — | 4 | 2 | no | — |
| 195 | D4×D7 | — | 4 | 4 | no | — |
| 196 | D4×D7 | — | 4 | 4 | no | — |
| 197 | #1157 | — | 2 | 1 | no | — |
| 198 | #1157 | — | 2 | 1 | no | — |
| 199 | #1157 | — | 2 | 4 | no | — |
| 200 | #1157 | — | 4 | 2 | no | — |
| 201 | #1157 | C2×Q8 | 1 | 2 | yes | — |
| 202 | #1157 | #41 | 1 | 2 | yes | — |
| 203 | C2×D28 | — | 2 | 1 | no | — |
| 204 | C2×D28 | — | 2 | 1 | no | — |
| 205 | C2×D28 | — | 2 | 1 | no | — |
| 206 | C2×D28 | — | 2 | 1 | no | — |
| 207 | C2×D28 | — | 2 | 4 | no | — |
| 208 | C2×D28 | — | 2 | 1 | no | — |
| 209 | C2×D28 | — | 4 | 2 | no | — |
| 210 | C2×D28 | — | 4 | 1 | no | — |
| 211 | C2×D28 | C2×D4 | 1 | 1 | yes | characteristic |
| 212 | C2×D28 | C2×Q8 | 1 | 2 | yes | — |
| 213 | C2×C4×D7 | — | 2 | 1 | no | — |
| 214 | C2×C4×D7 | — | 4 | 1 | no | — |
| 215 | C2×C4×D7 | — | 4 | 1 | no | — |
| 216 | C2×Dic14 | — | 4 | 1 | no | — |
| 217 | C2×Dic14 | C2×D4 | 1 | 1 | yes | characteristic |
| 218 | C7×M16 | — | 2 | 1 | no | — |
| 219 | C7×M16 | — | 2 | 1 | no | — |
| 220 | C7×M16 | — | 2 | 1 | no | — |
| 221 | C7×M16 | — | 2 | 1 | no | — |
| 222 | C2×C7×C8 | — | 2 | 1 | no | — |
| 223 | C2×C7×C8 | — | 2 | 1 | no | — |
| 224 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 225 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 226 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 227 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 228 | C7×C4⋊C4 | — | 4 | 1 | no | — |
| 229 | C7×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 230 | C7×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 231 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 232 | C7×C22⋊C4 | — | 4 | 1 | no | — |
| 233 | C42×C7 | — | 2 | 1 | no | — |
| 234 | C42×C7 | — | 2 | 1 | no | — |
| 235 | C42×C7 | — | 2 | 1 | no | — |
| 236 | C42×C7 | — | 4 | 1 | no | — |
| 237 | C22⋊Dic7 | — | 2 | 1 | no | — |
| 238 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 239 | (C2×D7)⋊C4 | — | 8 | 2 | no | — |
| 240 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 241 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 242 | C4⋊Dic7 | — | 4 | 1 | no | — |
| 243 | C4⋊Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | C4⋊Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 245 | Dic7⋊C4 | — | 4 | 1 | no | — |
| 246 | Dic7⋊C4 | — | 4 | 1 | no | — |
| 247 | Dic7⋊C4 | — | 4 | 1 | no | — |
| 248 | C4×Dic7 | — | 2 | 1 | no | — |
| 249 | C4×Dic7 | — | 4 | 1 | no | — |
| 250 | #1136 | — | 2 | 1 | no | — |
| 251 | #1136 | — | 2 | 1 | no | — |
| 252 | #1136 | — | 2 | 1 | no | — |
| 253 | #1136 | — | 2 | 1 | no | — |
| 254 | #1136 | — | 4 | 2 | no | — |
| 255 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 256 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 257 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 258 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 259 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 260 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 261 | C2×C7⋊C8 | — | 4 | 2 | no | — |
| 262 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 263 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 264 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 265 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 266 | #1131 | — | 4 | 2 | no | — |
| 267 | C8×D7 | — | 4 | 2 | no | — |
| 268 | C2×H(5,𝔽2) | — | 7 | 1 | no | — |
| 269 | C2×#131 | — | 7 | 1 | no | — |
| 270 | C2×#131 | — | 7 | 1 | no | — |
| 271 | #544 | — | 7 | 1 | no | — |
| 272 | #520 | — | 7 | 1 | no | — |
| 273 | #520 | C2×D7 | 1 | 1 | yes | characteristic |
| 274 | #479 | — | 14 | 1 | no | — |
| 275 | #479 | — | 14 | 1 | no | — |
| 276 | #478 | — | 14 | 1 | no | — |
| 277 | #478 | — | 14 | 1 | no | — |
| 278 | #477 | — | 14 | 1 | no | — |
| 279 | #476 | — | 14 | 1 | no | — |
| 280 | #475 | — | 14 | 1 | no | — |
| 281 | #474 | — | 14 | 1 | no | — |
| 282 | C2×#108 | — | 7 | 1 | no | — |
| 283 | C2×#108 | — | 7 | 1 | no | — |
| 284 | #428 | — | 7 | 1 | no | — |
| 285 | #428 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 286 | C2×#107 | — | 7 | 1 | no | — |
| 287 | C2×#106 | — | 7 | 1 | no | — |
| 288 | #424 | — | 7 | 1 | no | — |
| 289 | #424 | — | 7 | 1 | no | — |
| 290 | C2×#104 | — | 7 | 1 | no | — |
| 291 | C2×#104 | C2×D7 | 1 | 1 | yes | characteristic |
| 292 | #418 | — | 7 | 1 | no | — |
| 293 | #418 | — | 7 | 1 | no | — |
| 294 | #418 | — | 14 | 1 | no | — |
| 295 | #418 | — | 14 | 1 | no | — |
| 296 | #417 | — | 7 | 1 | no | — |
| 297 | #417 | — | 7 | 1 | no | — |
| 298 | #417 | — | 7 | 1 | no | — |
| 299 | #417 | — | 14 | 1 | no | — |
| 300 | #417 | — | 14 | 1 | no | — |
| 301 | #417 | C2×D7 | 1 | 1 | yes | characteristic |
| 302 | #416 | — | 7 | 1 | no | — |
| 303 | #416 | — | 7 | 1 | no | — |
| 304 | #416 | — | 14 | 1 | no | — |
| 305 | #416 | — | 14 | 1 | no | — |
| 306 | C2×#102 | — | 7 | 1 | no | — |
| 307 | C2×#102 | — | 7 | 1 | no | — |
| 308 | C2×#102 | — | 14 | 1 | no | — |
| 309 | C2×#102 | — | 14 | 1 | no | — |
| 310 | C2×#100 | — | 7 | 1 | no | — |
| 311 | #390 | — | 7 | 1 | no | — |
| 312 | #382 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 313 | #343 | — | 7 | 1 | no | — |
| 314 | #343 | — | 7 | 1 | no | — |
| 315 | #343 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 316 | #339 | — | 7 | 1 | no | — |
| 317 | #339 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 318 | #336 | — | 7 | 1 | no | — |
| 319 | C23×C7 | — | 2 | 1 | no | — |
| 320 | C23×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 321 | C22×D7 | — | 2 | 1 | no | — |
| 322 | C22×D7 | — | 2 | 2 | no | — |
| 323 | C22×D7 | — | 4 | 4 | no | — |
| 324 | C22×D7 | — | 4 | 1 | no | — |
| 325 | C22×D7 | — | 4 | 1 | no | — |
| 326 | C22×D7 | — | 8 | 1 | no | — |
| 327 | C22×D7 | — | 8 | 1 | no | — |
| 328 | C22×D7 | — | 16 | 1 | no | — |
| 329 | C22×D7 | — | 16 | 1 | no | — |
| 330 | C7×Q8 | — | 2 | 1 | no | — |
| 331 | C7×Q8 | C22⋊Q8 | 1 | 2 | yes | — |
| 332 | C7×D4 | — | 2 | 2 | no | — |
| 333 | C7×D4 | — | 2 | 2 | no | — |
| 334 | C7×D4 | — | 2 | 1 | no | — |
| 335 | C7×D4 | C22⋊Q8 | 1 | 2 | yes | — |
| 336 | C2×C4×C7 | — | 2 | 1 | no | — |
| 337 | C2×C4×C7 | — | 2 | 2 | no | — |
| 338 | C2×C4×C7 | — | 2 | 2 | no | — |
| 339 | C2×C4×C7 | — | 2 | 1 | no | — |
| 340 | C2×C4×C7 | — | 2 | 1 | no | — |
| 341 | C2×C4×C7 | — | 4 | 1 | no | — |
| 342 | C2×C4×C7 | — | 4 | 1 | no | — |
| 343 | C2×C4×C7 | — | 4 | 1 | no | — |
| 344 | C2×C4×C7 | — | 4 | 1 | no | — |
| 345 | C2×C4×C7 | — | 4 | 1 | no | — |
| 346 | C2×C4×C7 | — | 8 | 1 | no | — |
| 347 | C2×C4×C7 | — | 8 | 1 | no | — |
| 348 | C2×C4×C7 | — | 16 | 1 | no | — |
| 349 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 350 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 351 | C2×C4×C7 | C22×Q8 | 1 | 1 | yes | characteristic |
| 352 | C2×C4×C7 | C2×#41 | 1 | 1 | yes | characteristic |
| 353 | C2×C4×C7 | C2×#41 | 1 | 1 | yes | characteristic |
| 354 | C2×C4×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 355 | C22⋊D7 | — | 2 | 2 | no | — |
| 356 | C22⋊D7 | — | 2 | 2 | no | — |
| 357 | C22⋊D7 | — | 4 | 4 | no | — |
| 358 | C2×Dic7 | — | 2 | 1 | no | — |
| 359 | C2×Dic7 | — | 2 | 1 | no | — |
| 360 | C2×Dic7 | — | 2 | 1 | no | — |
| 361 | C2×Dic7 | — | 4 | 1 | no | — |
| 362 | C2×Dic7 | — | 8 | 1 | no | — |
| 363 | D28 | — | 2 | 2 | no | — |
| 364 | D28 | — | 2 | 2 | no | — |
| 365 | D28 | — | 2 | 1 | no | — |
| 366 | D28 | — | 4 | 4 | no | — |
| 367 | D28 | — | 4 | 1 | no | — |
| 368 | D28 | — | 4 | 1 | no | — |
| 369 | D28 | C22⋊Q8 | 1 | 2 | yes | — |
| 370 | C4×D7 | — | 2 | 2 | no | — |
| 371 | C4×D7 | — | 2 | 2 | no | — |
| 372 | C4×D7 | — | 4 | 4 | no | — |
| 373 | C4×D7 | — | 16 | 1 | no | — |
| 374 | Dic14 | — | 2 | 1 | no | — |
| 375 | Dic14 | — | 16 | 1 | no | — |
| 376 | Dic14 | C22⋊Q8 | 1 | 2 | yes | — |
| 377 | C7×C8 | — | 4 | 1 | no | — |
| 378 | C7×C8 | — | 4 | 1 | no | — |
| 379 | C7⋊C8 | — | 2 | 1 | no | — |
| 380 | C7⋊C8 | — | 2 | 1 | no | — |
| 381 | C7⋊C8 | — | 2 | 1 | no | — |
| 382 | C7⋊C8 | — | 2 | 1 | no | — |
| 383 | C7⋊C8 | — | 4 | 1 | no | — |
| 384 | C7⋊C8 | — | 4 | 1 | no | — |
| 385 | H(5,𝔽2) | — | 7 | 4 | no | — |
| 386 | H(5,𝔽2) | — | 14 | 2 | no | — |
| 387 | H(5,𝔽2) | — | 14 | 2 | no | — |
| 388 | H(5,𝔽2) | — | 28 | 1 | no | — |
| 389 | C2×#41 | — | 7 | 1 | no | — |
| 390 | C2×#41 | — | 14 | 1 | no | — |
| 391 | C2×#41 | — | 14 | 1 | no | — |
| 392 | C2×#41 | C22×D7 | 1 | 1 | yes | characteristic |
| 393 | C22×D4 | — | 7 | 1 | no | — |
| 394 | C22×D4 | — | 14 | 1 | no | — |
| 395 | C22×D4 | — | 14 | 1 | no | — |
| 396 | C22×D4 | — | 28 | 1 | no | — |
| 397 | #131 | — | 14 | 2 | no | — |
| 398 | #131 | — | 14 | 2 | no | — |
| 399 | #131 | — | 28 | 1 | no | — |
| 400 | #131 | — | 28 | 1 | no | — |
| 401 | C2×M16 | — | 7 | 1 | no | — |
| 402 | C2×M16 | — | 7 | 1 | no | — |
| 403 | C2×M16 | — | 14 | 1 | no | — |
| 404 | C2×M16 | — | 14 | 1 | no | — |
| 405 | C2×M16 | C22×D7 | 1 | 1 | yes | characteristic |
| 406 | C2×M16 | C22×D7 | 1 | 1 | yes | characteristic |
| 407 | C22×C8 | — | 7 | 1 | no | — |
| 408 | C22×C8 | — | 7 | 1 | no | — |
| 409 | C22×C8 | — | 14 | 1 | no | — |
| 410 | C22×C8 | — | 14 | 1 | no | — |
| 411 | C4⋊Q8 | — | 14 | 1 | no | — |
| 412 | C4⋊Q8 | — | 14 | 1 | no | — |
| 413 | #125 | — | 14 | 1 | no | — |
| 414 | #125 | — | 14 | 1 | no | — |
| 415 | C22⋊Q8 | — | 28 | 1 | no | — |
| 416 | C4×Q8 | — | 2 | 1 | no | — |
| 417 | C4×Q8 | — | 14 | 1 | no | — |
| 418 | C4×D4 | — | 2 | 1 | no | — |
| 419 | C4×D4 | — | 4 | 1 | no | — |
| 420 | C4×D4 | — | 14 | 1 | no | — |
| 421 | C4×D4 | — | 28 | 1 | no | — |
| 422 | #117 | — | 2 | 1 | no | — |
| 423 | #117 | — | 7 | 1 | no | — |
| 424 | #117 | — | 14 | 1 | no | — |
| 425 | #117 | C22×D7 | 1 | 1 | yes | characteristic |
| 426 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 427 | C2×C4⋊C4 | — | 7 | 1 | no | — |
| 428 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 429 | C2×C4⋊C4 | C22×D7 | 1 | 1 | yes | characteristic |
| 430 | C2×C4⋊C4 | C22×D7 | 1 | 1 | yes | characteristic |
| 431 | C2×C22⋊C4 | — | 28 | 1 | no | — |
| 432 | C2×C42 | C22×D7 | 1 | 1 | yes | characteristic |
| 433 | #108 | — | 28 | 1 | no | — |
| 434 | #108 | — | 28 | 1 | no | — |
| 435 | #107 | — | 2 | 1 | no | — |
| 436 | #107 | — | 14 | 1 | no | — |
| 437 | #107 | — | 14 | 1 | no | — |
| 438 | #107 | — | 14 | 1 | no | — |
| 439 | #106 | — | 2 | 1 | no | — |
| 440 | #106 | — | 14 | 1 | no | — |
| 441 | #106 | — | 14 | 1 | no | — |
| 442 | #106 | — | 14 | 1 | no | — |
| 443 | C4⋊C8 | — | 14 | 1 | no | — |
| 444 | C4⋊C8 | — | 14 | 1 | no | — |
| 445 | C4⋊C8 | — | 14 | 1 | no | — |
| 446 | C4⋊C8 | — | 14 | 1 | no | — |
| 447 | #104 | — | 2 | 2 | no | — |
| 448 | #104 | — | 14 | 2 | no | — |
| 449 | #103 | — | 2 | 1 | no | — |
| 450 | #103 | — | 7 | 1 | no | — |
| 451 | #103 | — | 7 | 1 | no | — |
| 452 | #103 | — | 7 | 1 | no | — |
| 453 | #103 | — | 7 | 1 | no | — |
| 454 | #103 | — | 14 | 1 | no | — |
| 455 | #103 | — | 14 | 1 | no | — |
| 456 | #103 | — | 14 | 1 | no | — |
| 457 | #102 | — | 2 | 1 | no | — |
| 458 | #102 | — | 7 | 1 | no | — |
| 459 | #102 | — | 7 | 1 | no | — |
| 460 | #102 | — | 7 | 1 | no | — |
| 461 | #102 | — | 7 | 1 | no | — |
| 462 | #102 | — | 14 | 1 | no | — |
| 463 | #102 | — | 14 | 1 | no | — |
| 464 | #102 | — | 14 | 1 | no | — |
| 465 | #102 | — | 14 | 1 | no | — |
| 466 | #102 | — | 14 | 1 | no | — |
| 467 | #102 | — | 14 | 1 | no | — |
| 468 | #102 | — | 14 | 1 | no | — |
| 469 | #102 | — | 14 | 1 | no | — |
| 470 | #102 | — | 14 | 1 | no | — |
| 471 | #102 | — | 14 | 1 | no | — |
| 472 | #102 | — | 14 | 1 | no | — |
| 473 | #100 | — | 28 | 1 | no | — |
| 474 | #95 | — | 4 | 1 | no | — |
| 475 | C22×C7 | — | 2 | 1 | no | — |
| 476 | C22×C7 | — | 2 | 1 | no | — |
| 477 | C22×C7 | — | 2 | 2 | no | — |
| 478 | C22×C7 | — | 4 | 1 | no | — |
| 479 | C22×C7 | — | 4 | 1 | no | — |
| 480 | C22×C7 | #543 | 1 | 1 | yes | characteristic |
| 481 | C22×C7 | D42 | 1 | 1 | yes | characteristic |
| 482 | C22×C7 | #551 | 1 | 1 | yes | characteristic |
| 483 | C2×D7 | — | 2 | 2 | no | — |
| 484 | C2×D7 | — | 4 | 1 | no | — |
| 485 | C2×D7 | — | 4 | 1 | no | — |
| 486 | C2×D7 | — | 4 | 2 | no | — |
| 487 | C2×D7 | — | 8 | 1 | no | — |
| 488 | C2×D7 | — | 8 | 1 | no | — |
| 489 | C2×D7 | — | 8 | 2 | no | — |
| 490 | C2×D7 | — | 16 | 4 | no | — |
| 491 | C2×D7 | — | 16 | 1 | no | — |
| 492 | C4×C7 | — | 2 | 2 | no | — |
| 493 | C4×C7 | — | 4 | 1 | no | — |
| 494 | C4×C7 | — | 4 | 1 | no | — |
| 495 | C4×C7 | — | 8 | 1 | no | — |
| 496 | C4×C7 | — | 8 | 1 | no | — |
| 497 | C4×C7 | — | 8 | 1 | no | — |
| 498 | C4×C7 | C2×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 499 | C4×C7 | C2×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 500 | C4×C7 | #546 | 1 | 1 | yes | characteristic |
| 501 | C4×C7 | #546 | 1 | 1 | yes | characteristic |
| 502 | Dic7 | — | 2 | 2 | no | — |
| 503 | Dic7 | — | 4 | 1 | no | — |
| 504 | Dic7 | — | 4 | 1 | no | — |
| 505 | Dic7 | — | 8 | 1 | no | — |
| 506 | C24 | — | 14 | 1 | no | — |
| 507 | C24 | — | 28 | 1 | no | — |
| 508 | #41 | — | 2 | 1 | no | — |
| 509 | #41 | — | 2 | 1 | no | — |
| 510 | #41 | — | 7 | 2 | no | — |
| 511 | #41 | — | 7 | 2 | no | — |
| 512 | #41 | — | 14 | 4 | no | — |
| 513 | #41 | — | 14 | 1 | no | — |
| 514 | #41 | — | 14 | 1 | no | — |
| 515 | #41 | — | 14 | 4 | no | — |
| 516 | #41 | — | 28 | 2 | no | — |
| 517 | #41 | — | 28 | 2 | no | — |
| 518 | #41 | #1157 | 1 | 2 | yes | — |
| 519 | #41 | Q8×D7 | 1 | 2 | yes | — |
| 520 | C2×Q8 | — | 7 | 1 | no | — |
| 521 | C2×Q8 | — | 28 | 1 | no | — |
| 522 | C2×Q8 | D4×D7 | 1 | 1 | yes | characteristic |
| 523 | C2×D4 | — | 2 | 1 | no | — |
| 524 | C2×D4 | — | 7 | 1 | no | — |
| 525 | C2×D4 | — | 7 | 2 | no | — |
| 526 | C2×D4 | — | 14 | 4 | no | — |
| 527 | C2×D4 | — | 14 | 1 | no | — |
| 528 | C2×D4 | — | 14 | 4 | no | — |
| 529 | C2×D4 | — | 14 | 1 | no | — |
| 530 | C2×D4 | — | 14 | 1 | no | — |
| 531 | C2×D4 | — | 14 | 1 | no | — |
| 532 | C2×D4 | — | 14 | 1 | no | — |
| 533 | C2×D4 | — | 14 | 1 | no | — |
| 534 | C2×D4 | — | 28 | 2 | no | — |
| 535 | C2×D4 | — | 28 | 1 | no | — |
| 536 | C2×D4 | — | 28 | 2 | no | — |
| 537 | C2×D4 | — | 28 | 1 | no | — |
| 538 | C2×D4 | — | 28 | 4 | no | — |
| 539 | C2×D4 | — | 28 | 4 | no | — |
| 540 | C2×D4 | D4×D7 | 1 | 1 | yes | characteristic |
| 541 | C22×C4 | — | 2 | 1 | no | — |
| 542 | C22×C4 | — | 2 | 1 | no | — |
| 543 | C22×C4 | — | 2 | 1 | no | — |
| 544 | C22×C4 | — | 2 | 1 | no | — |
| 545 | C22×C4 | — | 4 | 1 | no | — |
| 546 | C22×C4 | — | 14 | 1 | no | — |
| 547 | C22×C4 | — | 14 | 1 | no | — |
| 548 | C22×C4 | — | 28 | 1 | no | — |
| 549 | C22×C4 | — | 28 | 1 | no | — |
| 550 | C22×C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 551 | M16 | — | 2 | 1 | no | — |
| 552 | M16 | — | 2 | 1 | no | — |
| 553 | M16 | — | 2 | 1 | no | — |
| 554 | M16 | — | 2 | 1 | no | — |
| 555 | M16 | — | 14 | 1 | no | — |
| 556 | M16 | — | 14 | 1 | no | — |
| 557 | M16 | — | 14 | 1 | no | — |
| 558 | M16 | — | 14 | 1 | no | — |
| 559 | M16 | — | 28 | 2 | no | — |
| 560 | M16 | — | 28 | 2 | no | — |
| 561 | C2×C8 | — | 2 | 1 | no | — |
| 562 | C2×C8 | — | 2 | 1 | no | — |
| 563 | C2×C8 | — | 7 | 1 | no | — |
| 564 | C2×C8 | — | 7 | 1 | no | — |
| 565 | C2×C8 | — | 7 | 1 | no | — |
| 566 | C2×C8 | — | 7 | 1 | no | — |
| 567 | C2×C8 | — | 14 | 1 | no | — |
| 568 | C2×C8 | — | 14 | 1 | no | — |
| 569 | C2×C8 | — | 14 | 1 | no | — |
| 570 | C2×C8 | — | 14 | 1 | no | — |
| 571 | C2×C8 | — | 14 | 1 | no | — |
| 572 | C2×C8 | — | 14 | 1 | no | — |
| 573 | C2×C8 | — | 28 | 2 | no | — |
| 574 | C2×C8 | — | 28 | 2 | no | — |
| 575 | C4⋊C4 | — | 2 | 1 | no | — |
| 576 | C4⋊C4 | — | 2 | 1 | no | — |
| 577 | C4⋊C4 | — | 2 | 1 | no | — |
| 578 | C4⋊C4 | — | 2 | 1 | no | — |
| 579 | C4⋊C4 | — | 4 | 1 | no | — |
| 580 | C4⋊C4 | — | 7 | 1 | no | — |
| 581 | C4⋊C4 | — | 7 | 1 | no | — |
| 582 | C4⋊C4 | — | 14 | 1 | no | — |
| 583 | C4⋊C4 | — | 14 | 1 | no | — |
| 584 | C4⋊C4 | — | 28 | 1 | no | — |
| 585 | C4⋊C4 | — | 28 | 1 | no | — |
| 586 | C4⋊C4 | — | 28 | 1 | no | — |
| 587 | C4⋊C4 | — | 28 | 1 | no | — |
| 588 | C4⋊C4 | D4×D7 | 1 | 1 | yes | characteristic |
| 589 | C4⋊C4 | D4×D7 | 1 | 1 | yes | characteristic |
| 590 | C22⋊C4 | — | 2 | 1 | no | — |
| 591 | C22⋊C4 | — | 4 | 1 | no | — |
| 592 | C22⋊C4 | — | 14 | 1 | no | — |
| 593 | C22⋊C4 | — | 28 | 1 | no | — |
| 594 | C22⋊C4 | — | 56 | 2 | no | — |
| 595 | C42 | — | 2 | 1 | no | — |
| 596 | C42 | — | 2 | 1 | no | — |
| 597 | C42 | — | 2 | 1 | no | — |
| 598 | C42 | — | 4 | 1 | no | — |
| 599 | C42 | — | 14 | 1 | no | — |
| 600 | C42 | — | 28 | 1 | no | — |
| 601 | C2×C7 | — | 2 | 1 | no | — |
| 602 | C2×C7 | — | 2 | 1 | no | — |
| 603 | C2×C7 | — | 4 | 2 | no | — |
| 604 | C2×C7 | #2437 | 1 | 1 | yes | characteristic |
| 605 | C2×C7 | #3288 | 1 | 1 | yes | characteristic |
| 606 | C2×C7 | #3290 | 1 | 1 | yes | characteristic |
| 607 | D7 | — | 4 | 2 | no | — |
| 608 | D7 | — | 8 | 2 | no | — |
| 609 | C23 | — | 2 | 1 | no | — |
| 610 | C23 | — | 14 | 1 | no | — |
| 611 | C23 | — | 14 | 2 | no | — |
| 612 | C23 | — | 28 | 4 | no | — |
| 613 | C23 | — | 28 | 1 | no | — |
| 614 | C23 | — | 28 | 1 | no | — |
| 615 | C23 | — | 56 | 1 | no | — |
| 616 | C23 | — | 56 | 1 | no | — |
| 617 | C23 | — | 112 | 1 | no | — |
| 618 | C23 | — | 112 | 1 | no | — |
| 619 | C23 | #6548 | 1 | 1 | yes | characteristic |
| 620 | Q8 | — | 2 | 1 | no | — |
| 621 | Q8 | — | 7 | 2 | no | — |
| 622 | Q8 | — | 14 | 1 | no | — |
| 623 | Q8 | — | 112 | 1 | no | — |
| 624 | Q8 | #6459 | 1 | 2 | yes | — |
| 625 | D4 | — | 2 | 2 | no | — |
| 626 | D4 | — | 2 | 2 | no | — |
| 627 | D4 | — | 2 | 1 | no | — |
| 628 | D4 | — | 7 | 2 | no | — |
| 629 | D4 | — | 14 | 2 | no | — |
| 630 | D4 | — | 14 | 2 | no | — |
| 631 | D4 | — | 14 | 2 | no | — |
| 632 | D4 | — | 14 | 1 | no | — |
| 633 | D4 | — | 14 | 2 | no | — |
| 634 | D4 | — | 28 | 4 | no | — |
| 635 | D4 | — | 28 | 4 | no | — |
| 636 | D4 | — | 28 | 1 | no | — |
| 637 | D4 | — | 28 | 1 | no | — |
| 638 | D4 | #6459 | 1 | 2 | yes | — |
| 639 | C2×C4 | — | 2 | 1 | no | — |
| 640 | C2×C4 | — | 2 | 2 | no | — |
| 641 | C2×C4 | — | 2 | 2 | no | — |
| 642 | C2×C4 | — | 2 | 1 | no | — |
| 643 | C2×C4 | — | 2 | 1 | no | — |
| 644 | C2×C4 | — | 4 | 1 | no | — |
| 645 | C2×C4 | — | 4 | 1 | no | — |
| 646 | C2×C4 | — | 4 | 1 | no | — |
| 647 | C2×C4 | — | 4 | 1 | no | — |
| 648 | C2×C4 | — | 4 | 1 | no | — |
| 649 | C2×C4 | — | 8 | 1 | no | — |
| 650 | C2×C4 | — | 8 | 1 | no | — |
| 651 | C2×C4 | — | 14 | 1 | no | — |
| 652 | C2×C4 | — | 14 | 2 | no | — |
| 653 | C2×C4 | — | 14 | 2 | no | — |
| 654 | C2×C4 | — | 14 | 1 | no | — |
| 655 | C2×C4 | — | 14 | 1 | no | — |
| 656 | C2×C4 | — | 16 | 1 | no | — |
| 657 | C2×C4 | — | 28 | 4 | no | — |
| 658 | C2×C4 | — | 28 | 1 | no | — |
| 659 | C2×C4 | — | 56 | 1 | no | — |
| 660 | C2×C4 | — | 112 | 1 | no | — |
| 661 | C2×C4 | C2×#1157 | 1 | 1 | yes | characteristic |
| 662 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 663 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 664 | C2×C4 | C2×Q8×D7 | 1 | 1 | yes | characteristic |
| 665 | C2×C4 | D7×#41 | 1 | 1 | yes | characteristic |
| 666 | C2×C4 | #6553 | 1 | 1 | yes | characteristic |
| 667 | C8 | — | 4 | 1 | no | — |
| 668 | C8 | — | 4 | 1 | no | — |
| 669 | C8 | — | 14 | 1 | no | — |
| 670 | C8 | — | 14 | 1 | no | — |
| 671 | C8 | — | 14 | 1 | no | — |
| 672 | C8 | — | 14 | 1 | no | — |
| 673 | C8 | — | 28 | 1 | no | — |
| 674 | C8 | — | 28 | 1 | no | — |
| 675 | C7 | #25984 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 676 | C22 | — | 2 | 1 | no | — |
| 677 | C22 | — | 2 | 1 | no | — |
| 678 | C22 | — | 2 | 2 | no | — |
| 679 | C22 | — | 4 | 1 | no | — |
| 680 | C22 | — | 4 | 1 | no | — |
| 681 | C22 | — | 14 | 2 | no | — |
| 682 | C22 | — | 28 | 1 | no | — |
| 683 | C22 | — | 28 | 1 | no | — |
| 684 | C22 | — | 28 | 2 | no | — |
| 685 | C22 | — | 56 | 2 | no | — |
| 686 | C22 | — | 56 | 1 | no | — |
| 687 | C22 | — | 56 | 1 | no | — |
| 688 | C22 | — | 112 | 1 | no | — |
| 689 | C22 | — | 112 | 4 | no | — |
| 690 | C22 | #90247 | 1 | 1 | yes | characteristic |
| 691 | C22 | #90281 | 1 | 1 | yes | characteristic |
| 692 | C22 | #90325 | 1 | 1 | yes | characteristic |
| 693 | C4 | — | 2 | 2 | no | — |
| 694 | C4 | — | 4 | 1 | no | — |
| 695 | C4 | — | 4 | 1 | no | — |
| 696 | C4 | — | 8 | 1 | no | — |
| 697 | C4 | — | 8 | 1 | no | — |
| 698 | C4 | — | 8 | 1 | no | — |
| 699 | C4 | — | 14 | 2 | no | — |
| 700 | C4 | — | 28 | 1 | no | — |
| 701 | C4 | — | 28 | 1 | no | — |
| 702 | C4 | — | 56 | 1 | no | — |
| 703 | C4 | C2×#6459 | 1 | 1 | yes | characteristic |
| 704 | C4 | #90241 | 1 | 1 | yes | characteristic |
| 705 | C4 | D7×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 706 | C4 | #90345 | 1 | 1 | yes | characteristic |
| 707 | C2 | — | 2 | 1 | no | — |
| 708 | C2 | — | 2 | 1 | no | — |
| 709 | C2 | — | 4 | 2 | no | — |
| 710 | C2 | — | 28 | 2 | no | — |
| 711 | C2 | — | 56 | 2 | no | — |
| 712 | C2 | #11732052 | 1 | 1 | yes | characteristic |
| 713 | C2 | #11737734 | 1 | 1 | yes | characteristic |
| 714 | C2 | #11737739 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta