| 1 | C2×#89683 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#89684 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11739229 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11737034 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C7×#2206 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11729217 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11729216 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11729048 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11728644 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11727048 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11727039 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11726959 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11726958 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11726943 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | D7×#357 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#6475 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#6475 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#6474 | — | 2 | 1 | no | — |
| 19 | C2×D7×D8 | C22 | 1 | 1 | yes | characteristic |
| 20 | #90406 | — | 2 | 1 | no | — |
| 21 | #90237 | — | 2 | 1 | no | — |
| 22 | C2×C7×D16 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×C7×D16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C7×#493 | C22 | 1 | 1 | yes | characteristic |
| 25 | C4×C7×D8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #89927 | C22 | 1 | 1 | yes | characteristic |
| 27 | #89926 | — | 2 | 1 | no | — |
| 28 | #89923 | C22 | 1 | 1 | yes | characteristic |
| 29 | D8×Dic7 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C2×#6401 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×#6401 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C2×#6401 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C2×#6400 | C22 | 1 | 1 | yes | characteristic |
| 34 | #89846 | — | 2 | 1 | no | — |
| 35 | #89790 | — | 2 | 1 | no | — |
| 36 | #89684 | — | 2 | 4 | no | — |
| 37 | #89683 | — | 2 | 4 | no | — |
| 38 | C2×Dic56 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | C2×#6374 | C22 | 1 | 1 | yes | characteristic |
| 40 | C2×#6372 | C22 | 1 | 1 | yes | characteristic |
| 41 | C2×D7×C16 | C22 | 1 | 1 | yes | characteristic |
| 42 | D7×#107 | C22 | 1 | 1 | yes | characteristic |
| 43 | #89645 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #89543 | — | 2 | 1 | no | — |
| 45 | #89529 | — | 2 | 1 | no | — |
| 46 | C4×Dic28 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #89468 | C22 | 1 | 1 | yes | characteristic |
| 48 | #89461 | C22 | 1 | 1 | yes | characteristic |
| 49 | C7×C4⋊C16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | C7×#357 | C22 | 1 | 1 | yes | characteristic |
| 51 | C7×#357 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #89357 | C22 | 1 | 1 | yes | characteristic |
| 53 | #89357 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #89304 | C22 | 1 | 1 | yes | characteristic |
| 55 | #89298 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | Dic7⋊C16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | Dic7⋊C16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #89287 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #89286 | C22 | 1 | 1 | yes | characteristic |
| 60 | C4⋊(C7⋊C16) | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #33589 | — | 7 | 1 | no | maximal, Sylow |
| 62 | C2×#1159 | — | 2 | 1 | no | — |
| 63 | C2×#1159 | — | 2 | 1 | no | — |
| 64 | C2×D4×D7 | — | 2 | 1 | no | — |
| 65 | C2×C7×D8 | — | 2 | 1 | no | — |
| 66 | C2×C7×D8 | C23 | 1 | 1 | yes | characteristic |
| 67 | C2×C7×D8 | C23 | 1 | 1 | yes | characteristic |
| 68 | C2×C7×D8 | C23 | 1 | 1 | yes | characteristic |
| 69 | C7×#127 | — | 2 | 1 | no | — |
| 70 | C4×C7×D4 | — | 2 | 1 | no | — |
| 71 | #6503 | — | 2 | 1 | no | — |
| 72 | #6502 | — | 4 | 1 | no | — |
| 73 | #6502 | — | 4 | 1 | no | — |
| 74 | #6500 | — | 4 | 1 | no | — |
| 75 | #6500 | — | 4 | 1 | no | — |
| 76 | #6499 | — | 2 | 1 | no | — |
| 77 | D4×Dic7 | — | 2 | 1 | no | — |
| 78 | C2×#1142 | — | 2 | 1 | no | — |
| 79 | C2×#1142 | — | 2 | 1 | no | — |
| 80 | C2×#1142 | — | 2 | 1 | no | — |
| 81 | C2×#1141 | — | 2 | 1 | no | — |
| 82 | C2×#1141 | — | 2 | 1 | no | — |
| 83 | C4×C22⋊D7 | — | 4 | 1 | no | — |
| 84 | C2×Dic7⋊C4 | — | 4 | 1 | no | — |
| 85 | #6475 | — | 2 | 2 | no | — |
| 86 | #6475 | — | 2 | 2 | no | — |
| 87 | #6475 | — | 2 | 2 | no | — |
| 88 | #6475 | D4 | 1 | 4 | yes | complemented |
| 89 | #6474 | — | 4 | 4 | no | — |
| 90 | D7×D8 | — | 2 | 2 | no | — |
| 91 | D7×D8 | — | 2 | 2 | no | — |
| 92 | C2×Dic28 | C23 | 1 | 1 | yes | characteristic |
| 93 | C2×Dic28 | C23 | 1 | 1 | yes | characteristic |
| 94 | C2×D56 | C23 | 1 | 1 | yes | characteristic |
| 95 | C2×#1132 | — | 2 | 1 | no | — |
| 96 | C2×#1131 | D4 | 1 | 1 | yes | characteristic |
| 97 | C2×C8×D7 | C23 | 1 | 1 | yes | characteristic |
| 98 | D7×C4⋊C4 | — | 2 | 1 | no | — |
| 99 | #6450 | — | 2 | 1 | no | — |
| 100 | (C22⋊D7)⋊C4 | — | 4 | 1 | no | — |
| 101 | #6440 | — | 4 | 1 | no | — |
| 102 | #6438 | — | 2 | 1 | no | — |
| 103 | #6435 | D4 | 1 | 1 | yes | characteristic |
| 104 | C4×Dic14 | — | 2 | 1 | no | — |
| 105 | C7×D16 | — | 2 | 2 | no | — |
| 106 | C7×D16 | — | 2 | 2 | no | — |
| 107 | C2×C7×C16 | C23 | 1 | 1 | yes | characteristic |
| 108 | C2×C7×C16 | C23 | 1 | 1 | yes | characteristic |
| 109 | C7×#107 | C23 | 1 | 1 | yes | characteristic |
| 110 | C7×#102 | — | 2 | 1 | no | — |
| 111 | C4×C7×C8 | C23 | 1 | 1 | yes | characteristic |
| 112 | #6406 | — | 2 | 1 | no | — |
| 113 | #6401 | — | 2 | 2 | no | — |
| 114 | #6401 | — | 2 | 2 | no | — |
| 115 | #6401 | — | 2 | 2 | no | — |
| 116 | #6400 | — | 2 | 2 | no | — |
| 117 | #6392 | C23 | 1 | 1 | yes | characteristic |
| 118 | #6390 | — | 2 | 1 | no | — |
| 119 | #6389 | D4 | 1 | 1 | yes | characteristic |
| 120 | C8×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 121 | C2×C7⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 122 | C2×C7⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 123 | #6384 | — | 2 | 1 | no | — |
| 124 | #6381 | — | 2 | 1 | no | — |
| 125 | #6377 | D4 | 1 | 1 | yes | characteristic |
| 126 | Dic56 | — | 2 | 2 | no | — |
| 127 | #6374 | — | 2 | 2 | no | — |
| 128 | #6372 | — | 2 | 2 | no | — |
| 129 | D7×C16 | — | 2 | 2 | no | — |
| 130 | C2×#509 | — | 7 | 1 | no | — |
| 131 | C2×#508 | — | 7 | 1 | no | — |
| 132 | #3155 | — | 7 | 1 | no | — |
| 133 | #2951 | — | 7 | 1 | no | — |
| 134 | #2211 | — | 7 | 1 | no | — |
| 135 | #2211 | — | 7 | 1 | no | — |
| 136 | #2210 | — | 7 | 1 | no | — |
| 137 | #2210 | — | 7 | 1 | no | — |
| 138 | #2207 | — | 7 | 1 | no | — |
| 139 | #2207 | — | 7 | 1 | no | — |
| 140 | #2206 | — | 7 | 1 | no | — |
| 141 | #2206 | D7 | 1 | 1 | yes | characteristic, complemented |
| 142 | #2151 | — | 7 | 1 | no | — |
| 143 | #2139 | — | 7 | 1 | no | — |
| 144 | C2×#357 | — | 7 | 1 | no | — |
| 145 | C23×D7 | — | 4 | 1 | no | — |
| 146 | C2×C7×D4 | — | 2 | 1 | no | — |
| 147 | C2×C7×D4 | — | 2 | 1 | no | — |
| 148 | C2×C7×D4 | — | 2 | 1 | no | — |
| 149 | C2×C7×D4 | — | 4 | 1 | no | — |
| 150 | C2×C7×D4 | — | 4 | 1 | no | — |
| 151 | C22×C4×C7 | — | 4 | 1 | no | — |
| 152 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 153 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 154 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 155 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 156 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 157 | C22×Dic7 | — | 4 | 1 | no | — |
| 158 | C22×Dic7 | — | 4 | 1 | no | — |
| 159 | C22×Dic7 | — | 4 | 1 | no | — |
| 160 | #1159 | — | 2 | 4 | no | — |
| 161 | #1159 | — | 4 | 2 | no | — |
| 162 | #1159 | — | 4 | 2 | no | — |
| 163 | #1159 | — | 4 | 2 | no | — |
| 164 | D4×D7 | — | 4 | 2 | no | — |
| 165 | D4×D7 | — | 4 | 2 | no | — |
| 166 | C2×D28 | — | 2 | 1 | no | — |
| 167 | C2×C4×D7 | — | 4 | 1 | no | — |
| 168 | C2×C4×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 169 | C2×Dic14 | — | 2 | 1 | no | — |
| 170 | C2×Dic14 | — | 2 | 1 | no | — |
| 171 | C7×D8 | — | 2 | 1 | no | — |
| 172 | C7×D8 | — | 2 | 1 | no | — |
| 173 | C7×D8 | — | 2 | 1 | no | — |
| 174 | C7×D8 | — | 2 | 1 | no | — |
| 175 | C7×D8 | — | 2 | 1 | no | — |
| 176 | C7×D8 | — | 4 | 2 | no | — |
| 177 | C7×D8 | C2×D4 | 1 | 2 | yes | — |
| 178 | C2×C7×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 179 | C2×C7×C8 | C24 | 1 | 1 | yes | characteristic |
| 180 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 181 | C7×C22⋊C4 | — | 4 | 1 | no | — |
| 182 | C42×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 183 | C22⋊Dic7 | — | 4 | 1 | no | — |
| 184 | C22⋊Dic7 | — | 4 | 1 | no | — |
| 185 | C22⋊Dic7 | — | 4 | 1 | no | — |
| 186 | #1142 | — | 2 | 4 | no | — |
| 187 | #1142 | — | 4 | 2 | no | — |
| 188 | #1142 | — | 4 | 2 | no | — |
| 189 | #1141 | — | 4 | 2 | no | — |
| 190 | #1141 | — | 4 | 2 | no | — |
| 191 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 192 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 193 | (C2×D7)⋊C4 | D8 | 1 | 1 | yes | characteristic |
| 194 | (C2×D7)⋊C4 | D8 | 1 | 1 | yes | characteristic |
| 195 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 196 | Dic7⋊C4 | — | 4 | 1 | no | — |
| 197 | Dic7⋊C4 | — | 4 | 1 | no | — |
| 198 | Dic7⋊C4 | — | 4 | 1 | no | — |
| 199 | Dic7⋊C4 | D8 | 1 | 1 | yes | characteristic |
| 200 | Dic7⋊C4 | D8 | 1 | 1 | yes | characteristic |
| 201 | C4×Dic7 | — | 4 | 1 | no | — |
| 202 | C4×Dic7 | — | 4 | 1 | no | — |
| 203 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 204 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 205 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 206 | Dic28 | — | 2 | 1 | no | — |
| 207 | Dic28 | — | 2 | 1 | no | — |
| 208 | Dic28 | — | 2 | 1 | no | — |
| 209 | Dic28 | C2×D4 | 1 | 2 | yes | — |
| 210 | D56 | — | 2 | 1 | no | — |
| 211 | D56 | — | 2 | 1 | no | — |
| 212 | #1132 | — | 4 | 2 | no | — |
| 213 | #1131 | — | 2 | 2 | no | — |
| 214 | C8×D7 | C2×D4 | 1 | 2 | yes | — |
| 215 | C8×D7 | #41 | 1 | 2 | yes | — |
| 216 | C7×C16 | — | 2 | 1 | no | — |
| 217 | C7×C16 | — | 2 | 1 | no | — |
| 218 | C7⋊C16 | — | 2 | 1 | no | — |
| 219 | C7⋊C16 | — | 2 | 1 | no | — |
| 220 | C2×AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 221 | C2×#135 | — | 7 | 1 | no | — |
| 222 | C2×#135 | — | 7 | 1 | no | — |
| 223 | C22×D8 | — | 7 | 1 | no | — |
| 224 | #535 | — | 14 | 1 | no | — |
| 225 | #520 | — | 14 | 1 | no | — |
| 226 | #509 | — | 14 | 4 | no | — |
| 227 | #508 | — | 14 | 4 | no | — |
| 228 | C2×Q32 | — | 7 | 1 | no | — |
| 229 | C2×SD32 | — | 7 | 1 | no | — |
| 230 | C2×SD32 | — | 7 | 1 | no | — |
| 231 | C2×SD32 | — | 7 | 1 | no | — |
| 232 | C2×SD32 | — | 7 | 1 | no | — |
| 233 | C2×D16 | — | 7 | 1 | no | — |
| 234 | C2×D16 | C2×D7 | 1 | 1 | yes | characteristic |
| 235 | C2×D16 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 236 | C2×M32 | — | 7 | 1 | no | — |
| 237 | C22×C16 | — | 7 | 1 | no | — |
| 238 | #496 | — | 14 | 1 | no | — |
| 239 | #496 | — | 14 | 1 | no | — |
| 240 | #495 | — | 7 | 1 | no | — |
| 241 | #495 | — | 7 | 1 | no | — |
| 242 | #493 | — | 7 | 1 | no | — |
| 243 | #493 | C2×D7 | 1 | 1 | yes | characteristic |
| 244 | #440 | — | 14 | 1 | no | — |
| 245 | #440 | — | 14 | 1 | no | — |
| 246 | C4×Q16 | — | 7 | 1 | no | — |
| 247 | C4×Q16 | — | 7 | 1 | no | — |
| 248 | C4×D8 | — | 7 | 1 | no | — |
| 249 | C4×D8 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 250 | C2×#107 | — | 7 | 1 | no | — |
| 251 | #417 | — | 14 | 1 | no | — |
| 252 | #405 | — | 7 | 1 | no | — |
| 253 | C4⋊C16 | — | 7 | 1 | no | — |
| 254 | C4⋊C16 | — | 7 | 1 | no | — |
| 255 | C4⋊C16 | — | 7 | 1 | no | — |
| 256 | C4⋊C16 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 257 | #358 | — | 7 | 1 | no | — |
| 258 | #358 | — | 7 | 1 | no | — |
| 259 | #357 | — | 7 | 1 | no | — |
| 260 | #357 | — | 7 | 1 | no | — |
| 261 | #357 | — | 7 | 1 | no | — |
| 262 | #357 | — | 7 | 1 | no | — |
| 263 | #357 | C2×D7 | 1 | 1 | yes | characteristic |
| 264 | #357 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 265 | C23×C7 | — | 4 | 1 | no | — |
| 266 | C23×C7 | — | 4 | 1 | no | — |
| 267 | C23×C7 | — | 4 | 1 | no | — |
| 268 | C22×D7 | — | 4 | 1 | no | — |
| 269 | C22×D7 | — | 8 | 2 | no | — |
| 270 | C22×D7 | — | 16 | 1 | no | — |
| 271 | C22×D7 | — | 16 | 1 | no | — |
| 272 | C22×D7 | C2×D8 | 1 | 1 | yes | characteristic |
| 273 | C7×D4 | — | 2 | 2 | no | — |
| 274 | C7×D4 | — | 4 | 1 | no | — |
| 275 | C7×D4 | — | 4 | 1 | no | — |
| 276 | C7×D4 | — | 4 | 1 | no | — |
| 277 | C7×D4 | — | 4 | 1 | no | — |
| 278 | C7×D4 | — | 4 | 1 | no | — |
| 279 | C7×D4 | — | 16 | 1 | no | — |
| 280 | C7×D4 | — | 16 | 1 | no | — |
| 281 | C2×C4×C7 | — | 4 | 1 | no | — |
| 282 | C2×C4×C7 | — | 16 | 1 | no | — |
| 283 | C2×C4×C7 | C2×D8 | 1 | 1 | yes | characteristic |
| 284 | C2×C4×C7 | C2×D8 | 1 | 1 | yes | characteristic |
| 285 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 286 | C22⋊D7 | — | 4 | 4 | no | — |
| 287 | C22⋊D7 | — | 8 | 2 | no | — |
| 288 | C22⋊D7 | — | 8 | 2 | no | — |
| 289 | C22⋊D7 | — | 16 | 1 | no | — |
| 290 | C22⋊D7 | — | 16 | 1 | no | — |
| 291 | C2×Dic7 | — | 4 | 1 | no | — |
| 292 | C2×Dic7 | — | 4 | 4 | no | — |
| 293 | C2×Dic7 | — | 4 | 1 | no | — |
| 294 | C2×Dic7 | — | 4 | 1 | no | — |
| 295 | C2×Dic7 | — | 8 | 2 | no | — |
| 296 | C2×Dic7 | — | 16 | 1 | no | — |
| 297 | C2×Dic7 | C2×D8 | 1 | 1 | yes | characteristic |
| 298 | C2×Dic7 | C2×D8 | 1 | 1 | yes | characteristic |
| 299 | C2×Dic7 | C2×D8 | 1 | 1 | yes | characteristic |
| 300 | D28 | — | 4 | 1 | no | — |
| 301 | D28 | — | 4 | 1 | no | — |
| 302 | C4×D7 | — | 16 | 1 | no | — |
| 303 | C4×D7 | #121 | 1 | 2 | yes | — |
| 304 | C4×D7 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 305 | Dic14 | — | 2 | 2 | no | — |
| 306 | Dic14 | — | 4 | 1 | no | — |
| 307 | Dic14 | — | 4 | 1 | no | — |
| 308 | Dic14 | — | 4 | 1 | no | — |
| 309 | C7×C8 | — | 2 | 1 | no | — |
| 310 | C7×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 311 | C7×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 312 | C7⋊C8 | — | 2 | 1 | no | — |
| 313 | C7⋊C8 | #121 | 1 | 2 | yes | — |
| 314 | C2×#41 | — | 14 | 1 | no | — |
| 315 | C2×#41 | — | 14 | 1 | no | — |
| 316 | C22×D4 | — | 14 | 1 | no | — |
| 317 | AGL(1,ℤ/8) | — | 28 | 4 | no | — |
| 318 | #135 | — | 7 | 4 | no | — |
| 319 | #135 | — | 14 | 2 | no | — |
| 320 | #135 | — | 14 | 2 | no | — |
| 321 | #135 | — | 14 | 2 | no | — |
| 322 | C2×Q16 | — | 7 | 1 | no | — |
| 323 | C2×Q16 | — | 7 | 1 | no | — |
| 324 | C2×SD16 | — | 14 | 1 | no | — |
| 325 | C2×SD16 | — | 14 | 1 | no | — |
| 326 | C2×SD16 | — | 14 | 1 | no | — |
| 327 | C2×SD16 | — | 14 | 1 | no | — |
| 328 | C2×D8 | — | 2 | 1 | no | — |
| 329 | C2×D8 | — | 7 | 1 | no | — |
| 330 | C2×D8 | — | 14 | 2 | no | — |
| 331 | C2×D8 | — | 14 | 2 | no | — |
| 332 | C2×D8 | — | 14 | 1 | no | — |
| 333 | C2×D8 | — | 14 | 1 | no | — |
| 334 | C2×D8 | C22×D7 | 1 | 1 | yes | characteristic |
| 335 | C2×D8 | C22×D7 | 1 | 1 | yes | characteristic |
| 336 | C2×D8 | C22×D7 | 1 | 1 | yes | characteristic |
| 337 | C2×M16 | — | 7 | 1 | no | — |
| 338 | C22×C8 | — | 7 | 1 | no | — |
| 339 | #127 | — | 2 | 1 | no | — |
| 340 | #127 | — | 14 | 1 | no | — |
| 341 | #124 | — | 14 | 1 | no | — |
| 342 | #124 | — | 14 | 1 | no | — |
| 343 | #121 | — | 28 | 1 | no | — |
| 344 | #121 | — | 28 | 1 | no | — |
| 345 | #120 | — | 28 | 1 | no | — |
| 346 | #120 | — | 28 | 1 | no | — |
| 347 | C4×Q8 | — | 14 | 1 | no | — |
| 348 | C4×Q8 | — | 14 | 1 | no | — |
| 349 | C4×D4 | — | 2 | 1 | no | — |
| 350 | C4×D4 | — | 14 | 1 | no | — |
| 351 | C4×D4 | — | 28 | 1 | no | — |
| 352 | C4×D4 | — | 28 | 1 | no | — |
| 353 | #117 | — | 7 | 1 | no | — |
| 354 | #117 | — | 28 | 1 | no | — |
| 355 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 356 | C2×C4⋊C4 | — | 28 | 1 | no | — |
| 357 | Q32 | — | 14 | 2 | no | — |
| 358 | SD32 | — | 14 | 2 | no | — |
| 359 | SD32 | — | 14 | 2 | no | — |
| 360 | SD32 | — | 14 | 2 | no | — |
| 361 | SD32 | — | 14 | 2 | no | — |
| 362 | D16 | — | 2 | 2 | no | — |
| 363 | D16 | — | 2 | 2 | no | — |
| 364 | D16 | — | 14 | 2 | no | — |
| 365 | M32 | — | 14 | 2 | no | — |
| 366 | C2×C16 | — | 7 | 1 | no | — |
| 367 | C2×C16 | — | 7 | 1 | no | — |
| 368 | C2×C16 | — | 14 | 2 | no | — |
| 369 | C2×C16 | C22×D7 | 1 | 1 | yes | characteristic |
| 370 | C2×C16 | C22×D7 | 1 | 1 | yes | characteristic |
| 371 | #107 | — | 7 | 1 | no | — |
| 372 | #107 | — | 14 | 1 | no | — |
| 373 | #107 | C22×D7 | 1 | 1 | yes | characteristic |
| 374 | #103 | — | 14 | 1 | no | — |
| 375 | #103 | — | 14 | 1 | no | — |
| 376 | #102 | — | 2 | 1 | no | — |
| 377 | #102 | — | 14 | 1 | no | — |
| 378 | #97 | — | 7 | 1 | no | — |
| 379 | #97 | — | 7 | 1 | no | — |
| 380 | C4×C8 | — | 7 | 1 | no | — |
| 381 | C4×C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 382 | C22×C7 | — | 4 | 2 | no | — |
| 383 | C22×C7 | — | 8 | 1 | no | — |
| 384 | C22×C7 | — | 8 | 1 | no | — |
| 385 | C22×C7 | — | 8 | 1 | no | — |
| 386 | C22×C7 | — | 8 | 1 | no | — |
| 387 | C22×C7 | — | 8 | 1 | no | — |
| 388 | C22×C7 | — | 8 | 1 | no | — |
| 389 | C22×C7 | — | 8 | 1 | no | — |
| 390 | C22×C7 | — | 8 | 1 | no | — |
| 391 | C22×C7 | C22×D8 | 1 | 1 | yes | characteristic |
| 392 | C2×D7 | — | 2 | 1 | no | — |
| 393 | C2×D7 | — | 2 | 1 | no | — |
| 394 | C2×D7 | — | 8 | 1 | no | — |
| 395 | C2×D7 | — | 8 | 1 | no | — |
| 396 | C2×D7 | — | 8 | 1 | no | — |
| 397 | C2×D7 | — | 16 | 4 | no | — |
| 398 | C2×D7 | #459 | 1 | 2 | yes | — |
| 399 | C4×C7 | — | 2 | 1 | no | — |
| 400 | C4×C7 | — | 2 | 1 | no | — |
| 401 | C4×C7 | — | 8 | 1 | no | — |
| 402 | C4×C7 | C2×#121 | 1 | 1 | yes | characteristic |
| 403 | C4×C7 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 404 | Dic7 | — | 2 | 1 | no | — |
| 405 | Dic7 | — | 2 | 1 | no | — |
| 406 | Dic7 | — | 4 | 2 | no | — |
| 407 | Dic7 | — | 8 | 1 | no | — |
| 408 | Dic7 | — | 8 | 1 | no | — |
| 409 | Dic7 | #459 | 1 | 2 | yes | — |
| 410 | C24 | — | 28 | 1 | no | — |
| 411 | #41 | — | 14 | 4 | no | — |
| 412 | #41 | — | 28 | 2 | no | — |
| 413 | #41 | — | 28 | 2 | no | — |
| 414 | #41 | — | 28 | 2 | no | — |
| 415 | C2×Q8 | — | 14 | 1 | no | — |
| 416 | C2×Q8 | — | 14 | 1 | no | — |
| 417 | C2×D4 | — | 2 | 1 | no | — |
| 418 | C2×D4 | — | 2 | 1 | no | — |
| 419 | C2×D4 | — | 2 | 1 | no | — |
| 420 | C2×D4 | — | 4 | 1 | no | — |
| 421 | C2×D4 | — | 4 | 1 | no | — |
| 422 | C2×D4 | — | 14 | 1 | no | — |
| 423 | C2×D4 | — | 28 | 2 | no | — |
| 424 | C2×D4 | — | 28 | 2 | no | — |
| 425 | C2×D4 | — | 28 | 1 | no | — |
| 426 | C2×D4 | — | 28 | 1 | no | — |
| 427 | C2×D4 | — | 28 | 1 | no | — |
| 428 | C2×D4 | — | 28 | 1 | no | — |
| 429 | C2×D4 | — | 28 | 1 | no | — |
| 430 | C22×C4 | — | 4 | 1 | no | — |
| 431 | C22×C4 | — | 7 | 1 | no | — |
| 432 | C22×C4 | — | 28 | 1 | no | — |
| 433 | C22×C4 | — | 28 | 1 | no | — |
| 434 | C22×C4 | — | 28 | 1 | no | — |
| 435 | C22×C4 | — | 28 | 1 | no | — |
| 436 | Q16 | — | 7 | 2 | no | — |
| 437 | Q16 | — | 14 | 1 | no | — |
| 438 | Q16 | — | 14 | 1 | no | — |
| 439 | Q16 | — | 14 | 1 | no | — |
| 440 | SD16 | — | 14 | 4 | no | — |
| 441 | SD16 | — | 28 | 2 | no | — |
| 442 | SD16 | — | 28 | 2 | no | — |
| 443 | SD16 | — | 28 | 2 | no | — |
| 444 | D8 | — | 2 | 1 | no | — |
| 445 | D8 | — | 2 | 1 | no | — |
| 446 | D8 | — | 2 | 1 | no | — |
| 447 | D8 | — | 2 | 1 | no | — |
| 448 | D8 | — | 2 | 1 | no | — |
| 449 | D8 | — | 4 | 2 | no | — |
| 450 | D8 | — | 14 | 1 | no | — |
| 451 | D8 | — | 14 | 1 | no | — |
| 452 | D8 | — | 28 | 2 | no | — |
| 453 | D8 | — | 28 | 2 | no | — |
| 454 | D8 | D4×D7 | 1 | 2 | yes | — |
| 455 | M16 | — | 14 | 2 | no | — |
| 456 | C2×C8 | — | 7 | 1 | no | — |
| 457 | C2×C8 | — | 7 | 2 | no | — |
| 458 | C2×C8 | — | 7 | 2 | no | — |
| 459 | C2×C8 | — | 7 | 1 | no | — |
| 460 | C2×C8 | D4×D7 | 1 | 1 | yes | characteristic |
| 461 | C2×C8 | C23×D7 | 1 | 1 | yes | characteristic |
| 462 | C4⋊C4 | — | 2 | 1 | no | — |
| 463 | C4⋊C4 | — | 7 | 1 | no | — |
| 464 | C4⋊C4 | — | 7 | 1 | no | — |
| 465 | C4⋊C4 | — | 14 | 1 | no | — |
| 466 | C4⋊C4 | — | 28 | 1 | no | — |
| 467 | C4⋊C4 | — | 28 | 1 | no | — |
| 468 | C4⋊C4 | — | 28 | 1 | no | — |
| 469 | C22⋊C4 | — | 4 | 1 | no | — |
| 470 | C22⋊C4 | — | 7 | 1 | no | — |
| 471 | C22⋊C4 | — | 7 | 1 | no | — |
| 472 | C22⋊C4 | — | 28 | 1 | no | — |
| 473 | C22⋊C4 | — | 28 | 1 | no | — |
| 474 | C22⋊C4 | — | 28 | 1 | no | — |
| 475 | C22⋊C4 | — | 28 | 1 | no | — |
| 476 | C22⋊C4 | — | 28 | 1 | no | — |
| 477 | C42 | — | 7 | 1 | no | — |
| 478 | C42 | — | 28 | 1 | no | — |
| 479 | C42 | — | 28 | 1 | no | — |
| 480 | C42 | D4×D7 | 1 | 1 | yes | characteristic |
| 481 | C16 | — | 2 | 1 | no | — |
| 482 | C16 | — | 2 | 1 | no | — |
| 483 | C16 | — | 14 | 1 | no | — |
| 484 | C16 | — | 14 | 1 | no | — |
| 485 | C2×C7 | — | 8 | 2 | no | — |
| 486 | C2×C7 | — | 16 | 1 | no | — |
| 487 | C2×C7 | — | 16 | 1 | no | — |
| 488 | C2×C7 | C2×#459 | 1 | 1 | yes | characteristic |
| 489 | C2×C7 | #3415 | 1 | 1 | yes | characteristic |
| 490 | C2×C7 | #3416 | 1 | 1 | yes | characteristic |
| 491 | D7 | — | 2 | 2 | no | — |
| 492 | D7 | — | 16 | 1 | no | — |
| 493 | C23 | — | 4 | 1 | no | — |
| 494 | C23 | — | 4 | 1 | no | — |
| 495 | C23 | — | 4 | 1 | no | — |
| 496 | C23 | — | 7 | 1 | no | — |
| 497 | C23 | — | 28 | 1 | no | — |
| 498 | C23 | — | 56 | 2 | no | — |
| 499 | C23 | — | 112 | 1 | no | — |
| 500 | C23 | — | 112 | 1 | no | — |
| 501 | Q8 | — | 14 | 2 | no | — |
| 502 | Q8 | — | 28 | 1 | no | — |
| 503 | Q8 | — | 28 | 1 | no | — |
| 504 | Q8 | — | 28 | 1 | no | — |
| 505 | D4 | — | 2 | 2 | no | — |
| 506 | D4 | — | 4 | 1 | no | — |
| 507 | D4 | — | 4 | 1 | no | — |
| 508 | D4 | — | 4 | 1 | no | — |
| 509 | D4 | — | 4 | 1 | no | — |
| 510 | D4 | — | 4 | 1 | no | — |
| 511 | D4 | — | 16 | 1 | no | — |
| 512 | D4 | — | 16 | 1 | no | — |
| 513 | D4 | — | 28 | 4 | no | — |
| 514 | D4 | — | 28 | 1 | no | — |
| 515 | D4 | — | 28 | 1 | no | — |
| 516 | D4 | — | 56 | 2 | no | — |
| 517 | D4 | — | 56 | 2 | no | — |
| 518 | D4 | — | 112 | 1 | no | — |
| 519 | D4 | — | 112 | 1 | no | — |
| 520 | C2×C4 | — | 4 | 1 | no | — |
| 521 | C2×C4 | — | 7 | 1 | no | — |
| 522 | C2×C4 | — | 7 | 2 | no | — |
| 523 | C2×C4 | — | 7 | 2 | no | — |
| 524 | C2×C4 | — | 7 | 1 | no | — |
| 525 | C2×C4 | — | 7 | 1 | no | — |
| 526 | C2×C4 | — | 16 | 1 | no | — |
| 527 | C2×C4 | — | 28 | 4 | no | — |
| 528 | C2×C4 | — | 28 | 1 | no | — |
| 529 | C2×C4 | — | 28 | 1 | no | — |
| 530 | C2×C4 | — | 28 | 1 | no | — |
| 531 | C2×C4 | — | 56 | 2 | no | — |
| 532 | C2×C4 | — | 112 | 1 | no | — |
| 533 | C2×C4 | — | 112 | 1 | no | — |
| 534 | C2×C4 | D7×D8 | 1 | 1 | yes | characteristic |
| 535 | C2×C4 | D7×D8 | 1 | 1 | yes | characteristic |
| 536 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 537 | C8 | — | 2 | 1 | no | — |
| 538 | C8 | — | 7 | 2 | no | — |
| 539 | C8 | — | 14 | 1 | no | — |
| 540 | C8 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 541 | C8 | D7×#41 | 1 | 1 | yes | characteristic |
| 542 | C7 | #33589 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 543 | C22 | — | 4 | 2 | no | — |
| 544 | C22 | — | 7 | 2 | no | — |
| 545 | C22 | — | 8 | 1 | no | — |
| 546 | C22 | — | 8 | 1 | no | — |
| 547 | C22 | — | 8 | 1 | no | — |
| 548 | C22 | — | 8 | 1 | no | — |
| 549 | C22 | — | 8 | 1 | no | — |
| 550 | C22 | — | 8 | 1 | no | — |
| 551 | C22 | — | 8 | 1 | no | — |
| 552 | C22 | — | 8 | 1 | no | — |
| 553 | C22 | — | 14 | 1 | no | — |
| 554 | C22 | — | 14 | 1 | no | — |
| 555 | C22 | — | 56 | 1 | no | — |
| 556 | C22 | — | 56 | 1 | no | — |
| 557 | C22 | — | 56 | 1 | no | — |
| 558 | C22 | — | 112 | 4 | no | — |
| 559 | C22 | C2×D7×D8 | 1 | 1 | yes | characteristic |
| 560 | C4 | — | 2 | 1 | no | — |
| 561 | C4 | — | 2 | 1 | no | — |
| 562 | C4 | — | 7 | 2 | no | — |
| 563 | C4 | — | 8 | 1 | no | — |
| 564 | C4 | — | 14 | 1 | no | — |
| 565 | C4 | — | 14 | 1 | no | — |
| 566 | C4 | — | 28 | 2 | no | — |
| 567 | C4 | — | 56 | 1 | no | — |
| 568 | C4 | — | 56 | 1 | no | — |
| 569 | C4 | D7×#121 | 1 | 1 | yes | characteristic |
| 570 | C4 | D7×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 571 | C2 | — | 8 | 2 | no | — |
| 572 | C2 | — | 14 | 2 | no | — |
| 573 | C2 | — | 16 | 1 | no | — |
| 574 | C2 | — | 16 | 1 | no | — |
| 575 | C2 | — | 112 | 1 | no | — |
| 576 | C2 | D7×#459 | 1 | 1 | yes | characteristic |
| 577 | C2 | #11739464 | 1 | 1 | yes | characteristic |
| 578 | C2 | #11739482 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta