Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
1108 conjugacy classes of subgroups.
The subgroup lattice has 1106 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11744037 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11737745 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11737731 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11737729 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C7×#2204 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11729684 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11728747 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11728743 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11728742 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11726927 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11726921 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11726920 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11726919 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11726916 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11726915 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #90620 | C22 | 1 | 1 | yes | characteristic |
| 17 | C7×#555 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | D7×#137 | — | 2 | 1 | no | — |
| 19 | #90464 | — | 2 | 1 | no | — |
| 20 | D7×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 21 | #90426 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #90415 | C22 | 1 | 1 | yes | characteristic |
| 23 | #90369 | — | 2 | 1 | no | — |
| 24 | #90368 | — | 2 | 1 | no | — |
| 25 | #90365 | C22 | 1 | 1 | yes | characteristic |
| 26 | #90363 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #90361 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | #90359 | C22 | 1 | 1 | yes | characteristic |
| 29 | #90311 | — | 2 | 1 | no | — |
| 30 | #90306 | — | 2 | 1 | no | — |
| 31 | #90301 | — | 2 | 1 | no | — |
| 32 | #90288 | — | 2 | 1 | no | — |
| 33 | #90251 | — | 2 | 1 | no | — |
| 34 | #90231 | — | 2 | 1 | no | — |
| 35 | #90226 | — | 2 | 1 | no | — |
| 36 | #90222 | — | 2 | 1 | no | — |
| 37 | #90219 | — | 2 | 1 | no | — |
| 38 | #90218 | — | 2 | 1 | no | — |
| 39 | C7×#456 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | C7×#454 | C22 | 1 | 1 | yes | characteristic |
| 41 | C7×#454 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #90018 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #90018 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #90017 | C22 | 1 | 1 | yes | characteristic |
| 45 | #89974 | — | 2 | 1 | no | — |
| 46 | #89970 | — | 2 | 1 | no | — |
| 47 | #89970 | — | 2 | 1 | no | — |
| 48 | #89867 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #89834 | C22 | 1 | 1 | yes | characteristic |
| 50 | #89834 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #89597 | — | 2 | 1 | no | — |
| 52 | #89597 | — | 2 | 1 | no | — |
| 53 | #89594 | — | 2 | 1 | no | — |
| 54 | #89593 | — | 2 | 1 | no | — |
| 55 | #89593 | — | 2 | 1 | no | — |
| 56 | D7×#104 | — | 2 | 1 | no | — |
| 57 | #89525 | C22 | 1 | 1 | yes | characteristic |
| 58 | #89524 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #89524 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #89523 | C22 | 1 | 1 | yes | characteristic |
| 61 | #89523 | C22 | 1 | 1 | yes | characteristic |
| 62 | #89523 | C22 | 1 | 1 | yes | characteristic |
| 63 | C7×#356 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | C7×#355 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | C7×#355 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #89343 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | #89337 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | #89337 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | #89273 | C22 | 1 | 1 | yes | characteristic, complemented |
| 70 | #89273 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | #89273 | C22 | 1 | 1 | yes | characteristic, complemented |
| 72 | #89273 | C22 | 1 | 1 | yes | characteristic, complemented |
| 73 | #89272 | C22 | 1 | 1 | yes | characteristic, complemented |
| 74 | #89272 | C22 | 1 | 1 | yes | characteristic, complemented |
| 75 | #33572 | — | 7 | 1 | no | maximal, Sylow |
| 76 | C7×2−1+4 | C23 | 1 | 1 | yes | characteristic |
| 77 | #6553 | — | 2 | 1 | no | — |
| 78 | #6553 | — | 2 | 1 | no | — |
| 79 | #6553 | — | 2 | 1 | no | — |
| 80 | #6553 | — | 4 | 1 | no | — |
| 81 | D7×#41 | — | 2 | 1 | no | — |
| 82 | D7×#41 | — | 2 | 1 | no | — |
| 83 | D7×#41 | — | 2 | 1 | no | — |
| 84 | D7×#41 | — | 4 | 1 | no | — |
| 85 | #6551 | — | 4 | 1 | no | — |
| 86 | #6551 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×#1161 | — | 4 | 1 | no | — |
| 88 | C2×#1161 | C23 | 1 | 1 | yes | characteristic |
| 89 | C2×Q8×D7 | D4 | 1 | 1 | yes | characteristic |
| 90 | C2×#1159 | — | 2 | 1 | no | — |
| 91 | C2×#1159 | D4 | 1 | 1 | yes | characteristic |
| 92 | C2×D4×D7 | D4 | 1 | 1 | yes | characteristic |
| 93 | C7×#137 | — | 2 | 1 | no | — |
| 94 | C7×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 95 | C7×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 96 | C7×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 97 | C7×#124 | — | 2 | 1 | no | — |
| 98 | C7×#124 | C23 | 1 | 1 | yes | characteristic |
| 99 | C7×#124 | C23 | 1 | 1 | yes | characteristic |
| 100 | C7×#121 | — | 2 | 1 | no | — |
| 101 | C7×#121 | — | 2 | 1 | no | — |
| 102 | C4×C7×D4 | — | 2 | 1 | no | — |
| 103 | C7×#117 | — | 2 | 1 | no | — |
| 104 | C7×#117 | — | 2 | 1 | no | — |
| 105 | #6514 | — | 2 | 1 | no | — |
| 106 | #6514 | — | 2 | 1 | no | — |
| 107 | #6512 | — | 2 | 1 | no | — |
| 108 | #6510 | D4 | 1 | 1 | yes | characteristic |
| 109 | #6510 | C23 | 1 | 1 | yes | characteristic |
| 110 | #6509 | — | 2 | 1 | no | — |
| 111 | #6507 | C23 | 1 | 1 | yes | characteristic |
| 112 | #6507 | C23 | 1 | 1 | yes | characteristic |
| 113 | #6505 | — | 2 | 1 | no | — |
| 114 | #6503 | D4 | 1 | 1 | yes | characteristic |
| 115 | #6503 | D4 | 1 | 1 | yes | characteristic |
| 116 | #6502 | — | 2 | 1 | no | — |
| 117 | #6502 | — | 2 | 1 | no | — |
| 118 | #6502 | — | 2 | 1 | no | — |
| 119 | #6502 | — | 2 | 1 | no | — |
| 120 | #6502 | — | 2 | 1 | no | — |
| 121 | #6501 | — | 2 | 1 | no | — |
| 122 | #6500 | — | 2 | 1 | no | — |
| 123 | #6500 | — | 2 | 1 | no | — |
| 124 | #6498 | — | 2 | 1 | no | — |
| 125 | #6495 | — | 2 | 1 | no | — |
| 126 | #6495 | — | 2 | 1 | no | — |
| 127 | #6493 | — | 2 | 1 | no | — |
| 128 | #6493 | — | 2 | 1 | no | — |
| 129 | #6492 | — | 2 | 1 | no | — |
| 130 | #6492 | — | 2 | 1 | no | — |
| 131 | C4×C22⋊D7 | — | 2 | 1 | no | — |
| 132 | C4×C22⋊D7 | — | 2 | 1 | no | — |
| 133 | C2×(C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 134 | C2×Dic7⋊C4 | — | 2 | 1 | no | — |
| 135 | #6481 | — | 4 | 1 | no | — |
| 136 | D7×Q16 | — | 4 | 1 | no | — |
| 137 | #6479 | — | 4 | 1 | no | — |
| 138 | #6478 | — | 4 | 1 | no | — |
| 139 | #6478 | — | 4 | 1 | no | — |
| 140 | #6477 | — | 4 | 1 | no | — |
| 141 | D7×SD16 | — | 4 | 1 | no | — |
| 142 | D7×SD16 | — | 4 | 1 | no | — |
| 143 | #6475 | — | 4 | 1 | no | — |
| 144 | #6474 | — | 4 | 1 | no | — |
| 145 | #6474 | — | 4 | 1 | no | — |
| 146 | D7×D8 | — | 4 | 1 | no | — |
| 147 | #6472 | — | 2 | 1 | no | — |
| 148 | #6472 | — | 2 | 1 | no | — |
| 149 | #6471 | — | 2 | 1 | no | — |
| 150 | D7×M16 | — | 2 | 1 | no | — |
| 151 | D7×M16 | — | 2 | 1 | no | — |
| 152 | D7×M16 | — | 2 | 1 | no | — |
| 153 | #6461 | — | 2 | 1 | no | — |
| 154 | #6461 | — | 2 | 1 | no | — |
| 155 | #6459 | — | 2 | 1 | no | — |
| 156 | #6459 | — | 2 | 1 | no | — |
| 157 | #6459 | — | 2 | 1 | no | — |
| 158 | #6457 | — | 2 | 1 | no | — |
| 159 | #6457 | — | 2 | 1 | no | — |
| 160 | #6457 | — | 2 | 1 | no | — |
| 161 | #6457 | — | 2 | 1 | no | — |
| 162 | #6457 | — | 2 | 1 | no | — |
| 163 | #6452 | — | 2 | 1 | no | — |
| 164 | #6452 | — | 2 | 1 | no | — |
| 165 | #6449 | — | 2 | 1 | no | — |
| 166 | #6448 | — | 2 | 1 | no | — |
| 167 | #6448 | — | 2 | 1 | no | — |
| 168 | #6447 | — | 2 | 1 | no | — |
| 169 | #6447 | — | 2 | 1 | no | — |
| 170 | #6447 | — | 2 | 1 | no | — |
| 171 | #6447 | — | 2 | 1 | no | — |
| 172 | #6447 | — | 2 | 1 | no | — |
| 173 | #6447 | — | 2 | 1 | no | — |
| 174 | #6447 | — | 2 | 1 | no | — |
| 175 | #6446 | — | 2 | 1 | no | — |
| 176 | #6445 | — | 2 | 1 | no | — |
| 177 | #6445 | — | 2 | 1 | no | — |
| 178 | (C22⋊D7)⋊C4 | — | 2 | 1 | no | — |
| 179 | (C22⋊D7)⋊C4 | — | 2 | 1 | no | — |
| 180 | (C22⋊D7)⋊C4 | — | 2 | 1 | no | — |
| 181 | (C22⋊D7)⋊C4 | — | 2 | 1 | no | — |
| 182 | D7×C22⋊C4 | — | 2 | 1 | no | — |
| 183 | #6442 | — | 2 | 1 | no | — |
| 184 | #6442 | — | 2 | 1 | no | — |
| 185 | #6441 | — | 2 | 1 | no | — |
| 186 | #6441 | — | 2 | 1 | no | — |
| 187 | #6441 | — | 2 | 1 | no | — |
| 188 | #6440 | — | 2 | 1 | no | — |
| 189 | #6439 | — | 2 | 1 | no | — |
| 190 | #6439 | — | 2 | 1 | no | — |
| 191 | #6438 | D4 | 1 | 1 | yes | characteristic |
| 192 | #6438 | D4 | 1 | 1 | yes | characteristic |
| 193 | #6437 | D4 | 1 | 1 | yes | characteristic |
| 194 | C4×D28 | — | 2 | 1 | no | — |
| 195 | C4×D28 | — | 2 | 1 | no | — |
| 196 | #6435 | — | 2 | 1 | no | — |
| 197 | #6435 | D4 | 1 | 1 | yes | characteristic |
| 198 | #6435 | D4 | 1 | 1 | yes | characteristic |
| 199 | C42×D7 | D4 | 1 | 1 | yes | characteristic |
| 200 | #6433 | — | 2 | 1 | no | — |
| 201 | C4×Dic14 | — | 2 | 1 | no | — |
| 202 | C7×#104 | — | 2 | 1 | no | — |
| 203 | C7×#104 | — | 2 | 1 | no | — |
| 204 | C7×#104 | — | 2 | 1 | no | — |
| 205 | C7×#101 | C23 | 1 | 1 | yes | characteristic |
| 206 | C7×#101 | C23 | 1 | 1 | yes | characteristic |
| 207 | C7×#101 | C23 | 1 | 1 | yes | characteristic |
| 208 | #6411 | — | 2 | 1 | no | — |
| 209 | #6411 | — | 2 | 1 | no | — |
| 210 | #6411 | — | 2 | 1 | no | — |
| 211 | #6410 | C23 | 1 | 1 | yes | characteristic |
| 212 | #6410 | C23 | 1 | 1 | yes | characteristic |
| 213 | #6410 | C23 | 1 | 1 | yes | characteristic |
| 214 | #6399 | — | 2 | 1 | no | — |
| 215 | #6399 | — | 2 | 1 | no | — |
| 216 | #6399 | — | 2 | 1 | no | — |
| 217 | #6397 | — | 2 | 1 | no | — |
| 218 | #6397 | — | 2 | 1 | no | — |
| 219 | #6397 | — | 2 | 1 | no | — |
| 220 | #6379 | — | 2 | 1 | no | — |
| 221 | #6379 | — | 2 | 1 | no | — |
| 222 | #6379 | — | 2 | 1 | no | — |
| 223 | #3551 | — | 7 | 1 | no | — |
| 224 | #3022 | — | 7 | 1 | no | — |
| 225 | #3021 | — | 7 | 1 | no | — |
| 226 | #3018 | — | 7 | 1 | no | — |
| 227 | #2204 | — | 7 | 1 | no | — |
| 228 | #2204 | — | 7 | 1 | no | — |
| 229 | #2204 | — | 7 | 1 | no | — |
| 230 | #2204 | D7 | 1 | 1 | yes | characteristic, complemented |
| 231 | #2203 | — | 7 | 1 | no | — |
| 232 | #2203 | — | 7 | 1 | no | — |
| 233 | #2203 | — | 7 | 1 | no | — |
| 234 | #2203 | — | 7 | 1 | no | — |
| 235 | #2135 | — | 7 | 1 | no | — |
| 236 | #2134 | — | 7 | 1 | no | — |
| 237 | #2132 | — | 7 | 1 | no | — |
| 238 | C23×D7 | — | 2 | 1 | no | — |
| 239 | C7×#41 | — | 2 | 1 | no | — |
| 240 | C7×#41 | — | 2 | 1 | no | — |
| 241 | C7×#41 | — | 2 | 1 | no | — |
| 242 | C7×#41 | — | 4 | 1 | no | — |
| 243 | C2×C7×Q8 | — | 4 | 1 | no | — |
| 244 | C2×C7×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 245 | C2×C7×Q8 | C24 | 1 | 1 | yes | characteristic |
| 246 | C2×C7×D4 | — | 2 | 1 | no | — |
| 247 | C2×C7×D4 | — | 2 | 1 | no | — |
| 248 | C2×C7×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 249 | C2×C7×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 250 | C22×C4×C7 | — | 2 | 1 | no | — |
| 251 | C22×C4×C7 | — | 2 | 1 | no | — |
| 252 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 253 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 254 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 255 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 256 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 257 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 258 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 259 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 260 | C22×Dic7 | — | 2 | 1 | no | — |
| 261 | C22×Dic7 | — | 2 | 1 | no | — |
| 262 | C22×Dic7 | — | 2 | 1 | no | — |
| 263 | #1161 | — | 2 | 1 | no | — |
| 264 | #1161 | — | 2 | 1 | no | — |
| 265 | #1161 | — | 2 | 1 | no | — |
| 266 | #1161 | — | 4 | 1 | no | — |
| 267 | #1161 | — | 4 | 1 | no | — |
| 268 | #1161 | — | 4 | 1 | no | — |
| 269 | #1161 | — | 4 | 1 | no | — |
| 270 | #1161 | — | 4 | 1 | no | — |
| 271 | #1161 | — | 4 | 1 | no | — |
| 272 | Q8×D7 | — | 2 | 1 | no | — |
| 273 | Q8×D7 | — | 2 | 1 | no | — |
| 274 | Q8×D7 | — | 2 | 1 | no | — |
| 275 | Q8×D7 | — | 4 | 1 | no | — |
| 276 | Q8×D7 | — | 4 | 1 | no | — |
| 277 | Q8×D7 | — | 4 | 1 | no | — |
| 278 | #1159 | — | 2 | 1 | no | — |
| 279 | #1159 | — | 2 | 1 | no | — |
| 280 | #1159 | — | 2 | 1 | no | — |
| 281 | #1159 | — | 4 | 1 | no | — |
| 282 | #1159 | — | 4 | 1 | no | — |
| 283 | #1159 | — | 4 | 1 | no | — |
| 284 | #1159 | — | 8 | 1 | no | — |
| 285 | #1159 | — | 8 | 1 | no | — |
| 286 | D4×D7 | — | 2 | 1 | no | — |
| 287 | D4×D7 | — | 2 | 1 | no | — |
| 288 | D4×D7 | — | 2 | 1 | no | — |
| 289 | D4×D7 | — | 4 | 1 | no | — |
| 290 | D4×D7 | — | 4 | 1 | no | — |
| 291 | D4×D7 | — | 4 | 1 | no | — |
| 292 | D4×D7 | — | 4 | 1 | no | — |
| 293 | D4×D7 | — | 4 | 1 | no | — |
| 294 | D4×D7 | — | 4 | 1 | no | — |
| 295 | D4×D7 | — | 4 | 1 | no | — |
| 296 | D4×D7 | — | 4 | 1 | no | — |
| 297 | #1157 | — | 2 | 1 | no | — |
| 298 | #1157 | — | 2 | 1 | no | — |
| 299 | #1157 | — | 2 | 1 | no | — |
| 300 | #1157 | — | 4 | 1 | no | — |
| 301 | #1157 | — | 4 | 1 | no | — |
| 302 | #1157 | — | 4 | 1 | no | — |
| 303 | #1157 | — | 4 | 1 | no | — |
| 304 | #1157 | — | 4 | 1 | no | — |
| 305 | #1157 | — | 4 | 1 | no | — |
| 306 | C2×D28 | — | 2 | 1 | no | — |
| 307 | C2×D28 | — | 2 | 1 | no | — |
| 308 | C2×D28 | — | 4 | 1 | no | — |
| 309 | C2×D28 | — | 4 | 1 | no | — |
| 310 | C2×D28 | — | 4 | 1 | no | — |
| 311 | C2×D28 | C2×D4 | 1 | 1 | yes | characteristic |
| 312 | C2×D28 | C2×D4 | 1 | 1 | yes | characteristic |
| 313 | C2×D28 | C2×D4 | 1 | 1 | yes | characteristic |
| 314 | C2×D28 | C2×D4 | 1 | 1 | yes | characteristic |
| 315 | C2×C4×D7 | — | 2 | 1 | no | — |
| 316 | C2×C4×D7 | — | 2 | 1 | no | — |
| 317 | C2×C4×D7 | — | 2 | 1 | no | — |
| 318 | C2×C4×D7 | — | 2 | 1 | no | — |
| 319 | C2×C4×D7 | — | 4 | 1 | no | — |
| 320 | C2×C4×D7 | — | 4 | 1 | no | — |
| 321 | C2×C4×D7 | — | 4 | 1 | no | — |
| 322 | C2×C4×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 323 | C2×C4×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 324 | C2×C4×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 325 | C2×Dic14 | — | 2 | 1 | no | — |
| 326 | C2×Dic14 | C2×D4 | 1 | 1 | yes | characteristic |
| 327 | C2×Dic14 | C2×D4 | 1 | 1 | yes | characteristic |
| 328 | C7×Q16 | — | 4 | 1 | no | — |
| 329 | C7×SD16 | — | 4 | 1 | no | — |
| 330 | C7×SD16 | — | 4 | 1 | no | — |
| 331 | C7×SD16 | — | 4 | 1 | no | — |
| 332 | C7×D8 | — | 4 | 1 | no | — |
| 333 | C7×D8 | — | 4 | 1 | no | — |
| 334 | C7×M16 | — | 2 | 1 | no | — |
| 335 | C7×M16 | — | 2 | 1 | no | — |
| 336 | C7×M16 | — | 2 | 1 | no | — |
| 337 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 338 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 339 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 340 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 341 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 342 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 343 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 344 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 345 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 346 | C42×C7 | — | 2 | 1 | no | — |
| 347 | C42×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 348 | C42×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 349 | C42×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 350 | C22⋊Dic7 | — | 2 | 1 | no | — |
| 351 | C22⋊Dic7 | — | 2 | 1 | no | — |
| 352 | C22⋊Dic7 | — | 2 | 1 | no | — |
| 353 | C22⋊Dic7 | — | 2 | 1 | no | — |
| 354 | #1144 | — | 4 | 1 | no | — |
| 355 | #1144 | — | 4 | 1 | no | — |
| 356 | #1144 | — | 4 | 1 | no | — |
| 357 | #1143 | — | 4 | 1 | no | — |
| 358 | #1143 | — | 4 | 1 | no | — |
| 359 | #1142 | — | 4 | 1 | no | — |
| 360 | #1142 | — | 4 | 1 | no | — |
| 361 | #1142 | — | 4 | 1 | no | — |
| 362 | #1142 | — | 4 | 1 | no | — |
| 363 | #1141 | — | 4 | 1 | no | — |
| 364 | #1141 | — | 4 | 1 | no | — |
| 365 | #1141 | — | 4 | 1 | no | — |
| 366 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 367 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 368 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 369 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 370 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 371 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 372 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 373 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 374 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 375 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 376 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 377 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 378 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 379 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 380 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 381 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 382 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 383 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 384 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 385 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 386 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 387 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 388 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 389 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 390 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 391 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 392 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 393 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 394 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 395 | C4×Dic7 | — | 2 | 1 | no | — |
| 396 | C4×Dic7 | — | 2 | 1 | no | — |
| 397 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 398 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 399 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 400 | #1136 | — | 2 | 1 | no | — |
| 401 | #1136 | — | 2 | 1 | no | — |
| 402 | #1136 | — | 2 | 1 | no | — |
| 403 | Dic28 | — | 4 | 1 | no | — |
| 404 | Dic28 | — | 4 | 1 | no | — |
| 405 | D56 | — | 4 | 1 | no | — |
| 406 | #1132 | — | 4 | 1 | no | — |
| 407 | #1132 | — | 4 | 1 | no | — |
| 408 | #1132 | — | 4 | 1 | no | — |
| 409 | #1131 | — | 4 | 1 | no | — |
| 410 | #1131 | — | 4 | 1 | no | — |
| 411 | #1131 | — | 4 | 1 | no | — |
| 412 | C8×D7 | — | 4 | 1 | no | — |
| 413 | C8×D7 | — | 4 | 1 | no | — |
| 414 | C8×D7 | — | 4 | 1 | no | — |
| 415 | #585 | — | 7 | 1 | no | — |
| 416 | #575 | — | 14 | 1 | no | — |
| 417 | C2×#137 | — | 14 | 1 | no | — |
| 418 | C2×AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 419 | #563 | — | 7 | 1 | no | — |
| 420 | #563 | — | 7 | 1 | no | — |
| 421 | #560 | — | 14 | 1 | no | — |
| 422 | #555 | — | 7 | 1 | no | — |
| 423 | #555 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 424 | #553 | — | 14 | 1 | no | — |
| 425 | #552 | — | 14 | 1 | no | — |
| 426 | #551 | — | 14 | 1 | no | — |
| 427 | #548 | — | 14 | 1 | no | — |
| 428 | #546 | — | 14 | 1 | no | — |
| 429 | #540 | — | 14 | 1 | no | — |
| 430 | #540 | — | 14 | 1 | no | — |
| 431 | #538 | — | 14 | 1 | no | — |
| 432 | #538 | — | 14 | 1 | no | — |
| 433 | #537 | — | 14 | 1 | no | — |
| 434 | #536 | — | 7 | 1 | no | — |
| 435 | #535 | — | 7 | 1 | no | — |
| 436 | #532 | — | 7 | 1 | no | — |
| 437 | #529 | — | 14 | 1 | no | — |
| 438 | #456 | — | 7 | 1 | no | — |
| 439 | #456 | — | 7 | 1 | no | — |
| 440 | #456 | — | 7 | 1 | no | — |
| 441 | #456 | — | 7 | 1 | no | — |
| 442 | #456 | — | 7 | 1 | no | — |
| 443 | #456 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 444 | #455 | — | 14 | 1 | no | — |
| 445 | #455 | — | 14 | 1 | no | — |
| 446 | #455 | — | 14 | 1 | no | — |
| 447 | #454 | — | 7 | 1 | no | — |
| 448 | #454 | — | 7 | 1 | no | — |
| 449 | #454 | — | 7 | 1 | no | — |
| 450 | #454 | — | 7 | 1 | no | — |
| 451 | #454 | C2×D7 | 1 | 1 | yes | characteristic |
| 452 | #454 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 453 | #453 | — | 14 | 1 | no | — |
| 454 | #453 | — | 14 | 1 | no | — |
| 455 | #453 | — | 14 | 1 | no | — |
| 456 | #421 | — | 14 | 1 | no | — |
| 457 | #421 | — | 14 | 1 | no | — |
| 458 | C2×#104 | — | 14 | 1 | no | — |
| 459 | #413 | — | 7 | 1 | no | — |
| 460 | #413 | — | 7 | 1 | no | — |
| 461 | #413 | — | 7 | 1 | no | — |
| 462 | #356 | — | 7 | 1 | no | — |
| 463 | #356 | — | 7 | 1 | no | — |
| 464 | #356 | — | 7 | 1 | no | — |
| 465 | #356 | — | 7 | 1 | no | — |
| 466 | #356 | — | 7 | 1 | no | — |
| 467 | #356 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 468 | #355 | — | 7 | 1 | no | — |
| 469 | #355 | — | 7 | 1 | no | — |
| 470 | #355 | — | 7 | 1 | no | — |
| 471 | #355 | — | 7 | 1 | no | — |
| 472 | #355 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 473 | #355 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 474 | C23×C7 | — | 2 | 1 | no | — |
| 475 | C23×C7 | — | 2 | 1 | no | — |
| 476 | C22×D7 | — | 2 | 1 | no | — |
| 477 | C22×D7 | — | 4 | 1 | no | — |
| 478 | C22×D7 | — | 4 | 1 | no | — |
| 479 | C22×D7 | — | 4 | 1 | no | — |
| 480 | C22×D7 | — | 8 | 1 | no | — |
| 481 | C22×D7 | — | 8 | 1 | no | — |
| 482 | C22×D7 | — | 8 | 1 | no | — |
| 483 | C22×D7 | #120 | 1 | 1 | yes | characteristic |
| 484 | C22×D7 | #120 | 1 | 1 | yes | characteristic |
| 485 | C22×D7 | #120 | 1 | 1 | yes | characteristic |
| 486 | C7×Q8 | — | 2 | 1 | no | — |
| 487 | C7×Q8 | — | 2 | 1 | no | — |
| 488 | C7×Q8 | — | 2 | 1 | no | — |
| 489 | C7×Q8 | — | 4 | 1 | no | — |
| 490 | C7×Q8 | — | 4 | 1 | no | — |
| 491 | C7×D4 | — | 2 | 1 | no | — |
| 492 | C7×D4 | — | 2 | 1 | no | — |
| 493 | C7×D4 | — | 2 | 1 | no | — |
| 494 | C7×D4 | — | 4 | 1 | no | — |
| 495 | C7×D4 | — | 4 | 1 | no | — |
| 496 | C7×D4 | — | 4 | 1 | no | — |
| 497 | C7×D4 | — | 8 | 1 | no | — |
| 498 | C7×D4 | — | 8 | 1 | no | — |
| 499 | C2×C4×C7 | — | 2 | 1 | no | — |
| 500 | C2×C4×C7 | — | 2 | 1 | no | — |
| 501 | C2×C4×C7 | — | 2 | 1 | no | — |
| 502 | C2×C4×C7 | — | 2 | 1 | no | — |
| 503 | C2×C4×C7 | — | 4 | 1 | no | — |
| 504 | C2×C4×C7 | — | 4 | 1 | no | — |
| 505 | C2×C4×C7 | — | 4 | 1 | no | — |
| 506 | C2×C4×C7 | — | 8 | 1 | no | — |
| 507 | C2×C4×C7 | — | 8 | 1 | no | — |
| 508 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 509 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 510 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 511 | C22⋊D7 | — | 4 | 1 | no | — |
| 512 | C22⋊D7 | — | 4 | 1 | no | — |
| 513 | C22⋊D7 | — | 4 | 1 | no | — |
| 514 | C22⋊D7 | — | 4 | 1 | no | — |
| 515 | C22⋊D7 | — | 4 | 1 | no | — |
| 516 | C22⋊D7 | — | 4 | 1 | no | — |
| 517 | C22⋊D7 | — | 4 | 1 | no | — |
| 518 | C22⋊D7 | — | 8 | 1 | no | — |
| 519 | C22⋊D7 | — | 8 | 1 | no | — |
| 520 | C22⋊D7 | — | 8 | 1 | no | — |
| 521 | C22⋊D7 | — | 8 | 1 | no | — |
| 522 | C22⋊D7 | — | 8 | 1 | no | — |
| 523 | C22⋊D7 | — | 8 | 1 | no | — |
| 524 | C22⋊D7 | — | 8 | 1 | no | — |
| 525 | C2×Dic7 | — | 2 | 1 | no | — |
| 526 | C2×Dic7 | — | 2 | 1 | no | — |
| 527 | C2×Dic7 | — | 2 | 1 | no | — |
| 528 | C2×Dic7 | — | 2 | 1 | no | — |
| 529 | C2×Dic7 | — | 2 | 1 | no | — |
| 530 | C2×Dic7 | — | 4 | 1 | no | — |
| 531 | C2×Dic7 | — | 4 | 1 | no | — |
| 532 | C2×Dic7 | — | 4 | 1 | no | — |
| 533 | C2×Dic7 | — | 8 | 1 | no | — |
| 534 | C2×Dic7 | — | 8 | 1 | no | — |
| 535 | C2×Dic7 | #120 | 1 | 1 | yes | characteristic |
| 536 | D28 | — | 2 | 1 | no | — |
| 537 | D28 | — | 2 | 1 | no | — |
| 538 | D28 | — | 2 | 1 | no | — |
| 539 | D28 | — | 4 | 1 | no | — |
| 540 | D28 | — | 4 | 1 | no | — |
| 541 | D28 | — | 4 | 1 | no | — |
| 542 | D28 | — | 4 | 1 | no | — |
| 543 | D28 | — | 4 | 1 | no | — |
| 544 | D28 | — | 4 | 1 | no | — |
| 545 | D28 | — | 4 | 1 | no | — |
| 546 | D28 | — | 8 | 1 | no | — |
| 547 | D28 | — | 8 | 1 | no | — |
| 548 | C4×D7 | — | 2 | 1 | no | — |
| 549 | C4×D7 | — | 2 | 1 | no | — |
| 550 | C4×D7 | — | 2 | 1 | no | — |
| 551 | C4×D7 | — | 2 | 1 | no | — |
| 552 | C4×D7 | — | 2 | 1 | no | — |
| 553 | C4×D7 | — | 2 | 1 | no | — |
| 554 | C4×D7 | — | 4 | 1 | no | — |
| 555 | C4×D7 | — | 4 | 1 | no | — |
| 556 | C4×D7 | — | 4 | 1 | no | — |
| 557 | C4×D7 | — | 4 | 1 | no | — |
| 558 | C4×D7 | — | 4 | 1 | no | — |
| 559 | C4×D7 | — | 4 | 1 | no | — |
| 560 | C4×D7 | — | 4 | 1 | no | — |
| 561 | C4×D7 | — | 8 | 1 | no | — |
| 562 | C4×D7 | — | 8 | 1 | no | — |
| 563 | C4×D7 | — | 8 | 1 | no | — |
| 564 | C4×D7 | — | 8 | 1 | no | — |
| 565 | Dic14 | — | 2 | 1 | no | — |
| 566 | Dic14 | — | 2 | 1 | no | — |
| 567 | Dic14 | — | 2 | 1 | no | — |
| 568 | Dic14 | — | 4 | 1 | no | — |
| 569 | Dic14 | — | 4 | 1 | no | — |
| 570 | Dic14 | — | 4 | 1 | no | — |
| 571 | Dic14 | — | 4 | 1 | no | — |
| 572 | Dic14 | — | 4 | 1 | no | — |
| 573 | C7×C8 | — | 4 | 1 | no | — |
| 574 | C7×C8 | — | 4 | 1 | no | — |
| 575 | C7×C8 | — | 4 | 1 | no | — |
| 576 | C7⋊C8 | — | 4 | 1 | no | — |
| 577 | C7⋊C8 | — | 4 | 1 | no | — |
| 578 | C7⋊C8 | — | 4 | 1 | no | — |
| 579 | 2−1+4 | — | 7 | 1 | no | — |
| 580 | 2−1+4 | — | 28 | 1 | no | — |
| 581 | 2−1+4 | C22×D7 | 1 | 1 | yes | characteristic |
| 582 | H(5,𝔽2) | — | 14 | 1 | no | — |
| 583 | H(5,𝔽2) | — | 14 | 1 | no | — |
| 584 | H(5,𝔽2) | — | 14 | 1 | no | — |
| 585 | H(5,𝔽2) | — | 28 | 1 | no | — |
| 586 | C2×#41 | — | 7 | 1 | no | — |
| 587 | C2×#41 | — | 7 | 1 | no | — |
| 588 | C2×#41 | — | 14 | 1 | no | — |
| 589 | C2×#41 | — | 14 | 1 | no | — |
| 590 | C2×#41 | — | 14 | 1 | no | — |
| 591 | C2×#41 | — | 14 | 1 | no | — |
| 592 | C2×#41 | — | 28 | 1 | no | — |
| 593 | C2×#41 | — | 28 | 1 | no | — |
| 594 | C22×Q8 | — | 7 | 1 | no | — |
| 595 | C22×D4 | — | 7 | 1 | no | — |
| 596 | #137 | — | 2 | 1 | no | — |
| 597 | #137 | — | 14 | 1 | no | — |
| 598 | #137 | — | 14 | 1 | no | — |
| 599 | #137 | — | 14 | 1 | no | — |
| 600 | #137 | — | 14 | 1 | no | — |
| 601 | #137 | — | 14 | 1 | no | — |
| 602 | #137 | — | 28 | 1 | no | — |
| 603 | #137 | — | 28 | 1 | no | — |
| 604 | #137 | — | 28 | 1 | no | — |
| 605 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 606 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 607 | AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 608 | AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 609 | AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 610 | AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 611 | AGL(1,ℤ/8) | — | 28 | 1 | no | — |
| 612 | AGL(1,ℤ/8) | — | 28 | 1 | no | — |
| 613 | AGL(1,ℤ/8) | — | 28 | 1 | no | — |
| 614 | #135 | — | 28 | 1 | no | — |
| 615 | #135 | — | 28 | 1 | no | — |
| 616 | C2×Q16 | — | 28 | 1 | no | — |
| 617 | C2×SD16 | — | 28 | 1 | no | — |
| 618 | C2×SD16 | — | 28 | 1 | no | — |
| 619 | C2×D8 | — | 28 | 1 | no | — |
| 620 | C2×M16 | — | 14 | 1 | no | — |
| 621 | C2×M16 | — | 14 | 1 | no | — |
| 622 | C2×M16 | — | 14 | 1 | no | — |
| 623 | C4⋊Q8 | — | 7 | 1 | no | — |
| 624 | C4⋊Q8 | — | 7 | 1 | no | — |
| 625 | C4⋊Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 626 | #127 | — | 7 | 1 | no | — |
| 627 | #127 | — | 7 | 1 | no | — |
| 628 | #127 | — | 7 | 1 | no | — |
| 629 | #126 | — | 14 | 1 | no | — |
| 630 | #126 | — | 14 | 1 | no | — |
| 631 | #126 | — | 14 | 1 | no | — |
| 632 | #126 | — | 14 | 1 | no | — |
| 633 | #126 | — | 14 | 1 | no | — |
| 634 | #126 | — | 14 | 1 | no | — |
| 635 | #125 | — | 14 | 1 | no | — |
| 636 | #125 | — | 14 | 1 | no | — |
| 637 | #125 | — | 14 | 1 | no | — |
| 638 | #124 | — | 2 | 1 | no | — |
| 639 | #124 | — | 7 | 1 | no | — |
| 640 | #124 | — | 7 | 1 | no | — |
| 641 | #124 | — | 7 | 1 | no | — |
| 642 | #124 | — | 7 | 1 | no | — |
| 643 | #124 | — | 14 | 1 | no | — |
| 644 | #124 | — | 14 | 1 | no | — |
| 645 | #124 | C22×D7 | 1 | 1 | yes | characteristic |
| 646 | #124 | C22×D7 | 1 | 1 | yes | characteristic |
| 647 | #123 | — | 14 | 1 | no | — |
| 648 | #123 | — | 14 | 1 | no | — |
| 649 | #123 | — | 14 | 1 | no | — |
| 650 | #123 | — | 14 | 1 | no | — |
| 651 | #123 | — | 14 | 1 | no | — |
| 652 | #123 | — | 14 | 1 | no | — |
| 653 | #123 | — | 14 | 1 | no | — |
| 654 | #123 | — | 14 | 1 | no | — |
| 655 | #123 | — | 14 | 1 | no | — |
| 656 | #123 | — | 14 | 1 | no | — |
| 657 | C22⋊Q8 | — | 14 | 1 | no | — |
| 658 | C22⋊Q8 | — | 14 | 1 | no | — |
| 659 | C22⋊Q8 | — | 14 | 1 | no | — |
| 660 | C22⋊Q8 | — | 14 | 1 | no | — |
| 661 | C22⋊Q8 | — | 14 | 1 | no | — |
| 662 | C22⋊Q8 | — | 14 | 1 | no | — |
| 663 | C22⋊Q8 | — | 14 | 1 | no | — |
| 664 | #121 | — | 2 | 1 | no | — |
| 665 | #121 | — | 2 | 1 | no | — |
| 666 | #121 | — | 14 | 1 | no | — |
| 667 | #121 | — | 14 | 1 | no | — |
| 668 | #121 | — | 14 | 1 | no | — |
| 669 | #121 | — | 14 | 1 | no | — |
| 670 | #121 | — | 14 | 1 | no | — |
| 671 | #121 | — | 14 | 1 | no | — |
| 672 | #121 | — | 14 | 1 | no | — |
| 673 | #121 | — | 14 | 1 | no | — |
| 674 | #121 | — | 14 | 1 | no | — |
| 675 | #121 | — | 14 | 1 | no | — |
| 676 | #121 | — | 14 | 1 | no | — |
| 677 | #121 | — | 14 | 1 | no | — |
| 678 | #121 | — | 14 | 1 | no | — |
| 679 | #121 | — | 14 | 1 | no | — |
| 680 | #121 | — | 14 | 1 | no | — |
| 681 | #120 | — | 14 | 1 | no | — |
| 682 | #120 | — | 14 | 1 | no | — |
| 683 | #120 | — | 14 | 1 | no | — |
| 684 | #120 | — | 14 | 1 | no | — |
| 685 | C4×Q8 | — | 14 | 1 | no | — |
| 686 | C4×D4 | — | 2 | 1 | no | — |
| 687 | C4×D4 | — | 14 | 1 | no | — |
| 688 | C4×D4 | — | 14 | 1 | no | — |
| 689 | C4×D4 | — | 14 | 1 | no | — |
| 690 | C4×D4 | — | 14 | 1 | no | — |
| 691 | C4×D4 | — | 14 | 1 | no | — |
| 692 | C4×D4 | — | 14 | 1 | no | — |
| 693 | C4×D4 | — | 14 | 1 | no | — |
| 694 | C4×D4 | — | 14 | 1 | no | — |
| 695 | #117 | — | 2 | 1 | no | — |
| 696 | #117 | — | 2 | 1 | no | — |
| 697 | #117 | — | 7 | 1 | no | — |
| 698 | #117 | — | 7 | 1 | no | — |
| 699 | #117 | — | 14 | 1 | no | — |
| 700 | #117 | — | 14 | 1 | no | — |
| 701 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 702 | C2×C22⋊C4 | — | 14 | 1 | no | — |
| 703 | C2×C22⋊C4 | — | 14 | 1 | no | — |
| 704 | C2×C42 | — | 7 | 1 | no | — |
| 705 | #104 | — | 2 | 1 | no | — |
| 706 | #104 | — | 2 | 1 | no | — |
| 707 | #104 | — | 2 | 1 | no | — |
| 708 | #104 | — | 14 | 1 | no | — |
| 709 | #104 | — | 14 | 1 | no | — |
| 710 | #104 | — | 14 | 1 | no | — |
| 711 | #104 | — | 14 | 1 | no | — |
| 712 | #104 | — | 14 | 1 | no | — |
| 713 | #104 | — | 14 | 1 | no | — |
| 714 | #104 | — | 14 | 1 | no | — |
| 715 | #104 | — | 14 | 1 | no | — |
| 716 | #104 | — | 14 | 1 | no | — |
| 717 | #101 | — | 7 | 1 | no | — |
| 718 | #101 | — | 7 | 1 | no | — |
| 719 | #101 | — | 7 | 1 | no | — |
| 720 | #101 | C22×D7 | 1 | 1 | yes | characteristic |
| 721 | #101 | C22×D7 | 1 | 1 | yes | characteristic |
| 722 | #101 | C22×D7 | 1 | 1 | yes | characteristic |
| 723 | #100 | — | 14 | 1 | no | — |
| 724 | #100 | — | 14 | 1 | no | — |
| 725 | #100 | — | 14 | 1 | no | — |
| 726 | C22×C7 | — | 4 | 1 | no | — |
| 727 | C22×C7 | — | 4 | 1 | no | — |
| 728 | C22×C7 | — | 4 | 1 | no | — |
| 729 | C22×C7 | — | 4 | 1 | no | — |
| 730 | C22×C7 | — | 4 | 1 | no | — |
| 731 | C22×C7 | — | 4 | 1 | no | — |
| 732 | C22×C7 | — | 4 | 1 | no | — |
| 733 | C22×C7 | C2×#120 | 1 | 1 | yes | characteristic |
| 734 | C2×D7 | — | 2 | 1 | no | — |
| 735 | C2×D7 | — | 2 | 1 | no | — |
| 736 | C2×D7 | — | 2 | 1 | no | — |
| 737 | C2×D7 | — | 4 | 1 | no | — |
| 738 | C2×D7 | — | 4 | 1 | no | — |
| 739 | C2×D7 | — | 4 | 1 | no | — |
| 740 | C2×D7 | — | 4 | 1 | no | — |
| 741 | C2×D7 | — | 4 | 1 | no | — |
| 742 | C2×D7 | — | 4 | 1 | no | — |
| 743 | C2×D7 | — | 4 | 1 | no | — |
| 744 | C2×D7 | — | 16 | 1 | no | — |
| 745 | C2×D7 | — | 16 | 1 | no | — |
| 746 | C2×D7 | — | 16 | 1 | no | — |
| 747 | C2×D7 | — | 16 | 2 | no | — |
| 748 | C4×C7 | — | 2 | 1 | no | — |
| 749 | C4×C7 | — | 2 | 1 | no | — |
| 750 | C4×C7 | — | 2 | 1 | no | — |
| 751 | C4×C7 | — | 4 | 1 | no | — |
| 752 | C4×C7 | — | 4 | 1 | no | — |
| 753 | C4×C7 | — | 4 | 1 | no | — |
| 754 | C4×C7 | — | 4 | 1 | no | — |
| 755 | C4×C7 | — | 4 | 1 | no | — |
| 756 | Dic7 | — | 4 | 1 | no | — |
| 757 | Dic7 | — | 4 | 1 | no | — |
| 758 | Dic7 | — | 4 | 1 | no | — |
| 759 | Dic7 | — | 4 | 1 | no | — |
| 760 | Dic7 | — | 4 | 1 | no | — |
| 761 | Dic7 | — | 4 | 1 | no | — |
| 762 | Dic7 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 763 | Dic7 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 764 | C24 | — | 14 | 1 | no | — |
| 765 | #41 | — | 2 | 1 | no | — |
| 766 | #41 | — | 2 | 1 | no | — |
| 767 | #41 | — | 2 | 1 | no | — |
| 768 | #41 | — | 4 | 1 | no | — |
| 769 | #41 | — | 14 | 1 | no | — |
| 770 | #41 | — | 14 | 1 | no | — |
| 771 | #41 | — | 14 | 1 | no | — |
| 772 | #41 | — | 14 | 1 | no | — |
| 773 | #41 | — | 14 | 1 | no | — |
| 774 | #41 | — | 14 | 1 | no | — |
| 775 | #41 | — | 14 | 1 | no | — |
| 776 | #41 | — | 14 | 1 | no | — |
| 777 | #41 | — | 14 | 1 | no | — |
| 778 | #41 | — | 28 | 1 | no | — |
| 779 | #41 | — | 28 | 1 | no | — |
| 780 | #41 | — | 28 | 1 | no | — |
| 781 | #41 | — | 28 | 1 | no | — |
| 782 | #41 | — | 28 | 1 | no | — |
| 783 | #41 | — | 28 | 1 | no | — |
| 784 | #41 | — | 28 | 1 | no | — |
| 785 | #41 | — | 28 | 1 | no | — |
| 786 | #41 | — | 28 | 1 | no | — |
| 787 | #41 | — | 28 | 1 | no | — |
| 788 | #41 | — | 28 | 1 | no | — |
| 789 | #41 | — | 28 | 1 | no | — |
| 790 | #41 | — | 28 | 1 | no | — |
| 791 | #41 | — | 28 | 1 | no | — |
| 792 | #41 | — | 28 | 1 | no | — |
| 793 | #41 | — | 56 | 1 | no | — |
| 794 | #41 | — | 56 | 1 | no | — |
| 795 | C2×Q8 | — | 4 | 1 | no | — |
| 796 | C2×Q8 | — | 7 | 1 | no | — |
| 797 | C2×Q8 | — | 7 | 1 | no | — |
| 798 | C2×Q8 | — | 14 | 1 | no | — |
| 799 | C2×Q8 | — | 14 | 1 | no | — |
| 800 | C2×Q8 | — | 14 | 1 | no | — |
| 801 | C2×Q8 | — | 14 | 1 | no | — |
| 802 | C2×Q8 | — | 28 | 1 | no | — |
| 803 | C2×Q8 | — | 28 | 1 | no | — |
| 804 | C2×Q8 | — | 28 | 1 | no | — |
| 805 | C2×Q8 | D4×D7 | 1 | 1 | yes | characteristic |
| 806 | C2×Q8 | C23×D7 | 1 | 1 | yes | characteristic |
| 807 | C2×D4 | — | 2 | 1 | no | — |
| 808 | C2×D4 | — | 2 | 1 | no | — |
| 809 | C2×D4 | — | 7 | 1 | no | — |
| 810 | C2×D4 | — | 7 | 1 | no | — |
| 811 | C2×D4 | — | 7 | 1 | no | — |
| 812 | C2×D4 | — | 7 | 1 | no | — |
| 813 | C2×D4 | — | 14 | 1 | no | — |
| 814 | C2×D4 | — | 14 | 1 | no | — |
| 815 | C2×D4 | — | 14 | 1 | no | — |
| 816 | C2×D4 | — | 14 | 1 | no | — |
| 817 | C2×D4 | — | 14 | 1 | no | — |
| 818 | C2×D4 | — | 14 | 1 | no | — |
| 819 | C2×D4 | — | 14 | 1 | no | — |
| 820 | C2×D4 | — | 14 | 1 | no | — |
| 821 | C2×D4 | — | 14 | 1 | no | — |
| 822 | C2×D4 | — | 14 | 1 | no | — |
| 823 | C2×D4 | — | 14 | 1 | no | — |
| 824 | C2×D4 | — | 14 | 1 | no | — |
| 825 | C2×D4 | — | 14 | 1 | no | — |
| 826 | C2×D4 | — | 28 | 1 | no | — |
| 827 | C2×D4 | — | 28 | 1 | no | — |
| 828 | C2×D4 | — | 28 | 1 | no | — |
| 829 | C2×D4 | — | 28 | 1 | no | — |
| 830 | C2×D4 | — | 28 | 1 | no | — |
| 831 | C2×D4 | — | 28 | 1 | no | — |
| 832 | C2×D4 | — | 28 | 1 | no | — |
| 833 | C2×D4 | — | 28 | 1 | no | — |
| 834 | C2×D4 | — | 28 | 1 | no | — |
| 835 | C2×D4 | — | 28 | 1 | no | — |
| 836 | C2×D4 | — | 28 | 1 | no | — |
| 837 | C2×D4 | D4×D7 | 1 | 1 | yes | characteristic |
| 838 | C2×D4 | D4×D7 | 1 | 1 | yes | characteristic |
| 839 | C22×C4 | — | 2 | 1 | no | — |
| 840 | C22×C4 | — | 2 | 1 | no | — |
| 841 | C22×C4 | — | 7 | 1 | no | — |
| 842 | C22×C4 | — | 7 | 1 | no | — |
| 843 | C22×C4 | — | 7 | 1 | no | — |
| 844 | C22×C4 | — | 14 | 1 | no | — |
| 845 | C22×C4 | — | 14 | 1 | no | — |
| 846 | C22×C4 | — | 14 | 1 | no | — |
| 847 | C22×C4 | — | 14 | 1 | no | — |
| 848 | C22×C4 | — | 14 | 1 | no | — |
| 849 | C22×C4 | — | 14 | 1 | no | — |
| 850 | C22×C4 | — | 14 | 1 | no | — |
| 851 | C22×C4 | — | 28 | 1 | no | — |
| 852 | C22×C4 | — | 28 | 1 | no | — |
| 853 | C22×C4 | — | 28 | 1 | no | — |
| 854 | Q16 | — | 4 | 1 | no | — |
| 855 | Q16 | — | 28 | 1 | no | — |
| 856 | Q16 | — | 28 | 1 | no | — |
| 857 | Q16 | — | 28 | 1 | no | — |
| 858 | Q16 | — | 28 | 1 | no | — |
| 859 | Q16 | — | 28 | 1 | no | — |
| 860 | SD16 | — | 4 | 1 | no | — |
| 861 | SD16 | — | 4 | 1 | no | — |
| 862 | SD16 | — | 4 | 1 | no | — |
| 863 | SD16 | — | 28 | 1 | no | — |
| 864 | SD16 | — | 28 | 1 | no | — |
| 865 | SD16 | — | 28 | 1 | no | — |
| 866 | SD16 | — | 28 | 1 | no | — |
| 867 | SD16 | — | 28 | 1 | no | — |
| 868 | SD16 | — | 28 | 1 | no | — |
| 869 | SD16 | — | 28 | 1 | no | — |
| 870 | SD16 | — | 28 | 1 | no | — |
| 871 | SD16 | — | 28 | 1 | no | — |
| 872 | D8 | — | 4 | 1 | no | — |
| 873 | D8 | — | 4 | 1 | no | — |
| 874 | D8 | — | 28 | 1 | no | — |
| 875 | D8 | — | 28 | 1 | no | — |
| 876 | D8 | — | 28 | 1 | no | — |
| 877 | D8 | — | 28 | 1 | no | — |
| 878 | M16 | — | 2 | 1 | no | — |
| 879 | M16 | — | 2 | 1 | no | — |
| 880 | M16 | — | 2 | 1 | no | — |
| 881 | M16 | — | 14 | 1 | no | — |
| 882 | M16 | — | 14 | 1 | no | — |
| 883 | M16 | — | 14 | 1 | no | — |
| 884 | M16 | — | 28 | 1 | no | — |
| 885 | M16 | — | 28 | 1 | no | — |
| 886 | M16 | — | 28 | 1 | no | — |
| 887 | C2×C8 | — | 28 | 1 | no | — |
| 888 | C2×C8 | — | 28 | 1 | no | — |
| 889 | C2×C8 | — | 28 | 1 | no | — |
| 890 | C4⋊C4 | — | 2 | 1 | no | — |
| 891 | C4⋊C4 | — | 2 | 1 | no | — |
| 892 | C4⋊C4 | — | 2 | 1 | no | — |
| 893 | C4⋊C4 | — | 14 | 1 | no | — |
| 894 | C4⋊C4 | — | 14 | 1 | no | — |
| 895 | C4⋊C4 | — | 14 | 1 | no | — |
| 896 | C4⋊C4 | — | 14 | 1 | no | — |
| 897 | C4⋊C4 | — | 14 | 1 | no | — |
| 898 | C4⋊C4 | — | 14 | 1 | no | — |
| 899 | C4⋊C4 | — | 14 | 1 | no | — |
| 900 | C4⋊C4 | — | 14 | 1 | no | — |
| 901 | C4⋊C4 | — | 14 | 1 | no | — |
| 902 | C4⋊C4 | — | 14 | 1 | no | — |
| 903 | C4⋊C4 | — | 14 | 1 | no | — |
| 904 | C4⋊C4 | — | 14 | 1 | no | — |
| 905 | C4⋊C4 | — | 14 | 1 | no | — |
| 906 | C4⋊C4 | — | 14 | 1 | no | — |
| 907 | C4⋊C4 | — | 14 | 1 | no | — |
| 908 | C22⋊C4 | — | 2 | 1 | no | — |
| 909 | C22⋊C4 | — | 2 | 1 | no | — |
| 910 | C22⋊C4 | — | 2 | 1 | no | — |
| 911 | C22⋊C4 | — | 2 | 1 | no | — |
| 912 | C22⋊C4 | — | 2 | 1 | no | — |
| 913 | C22⋊C4 | — | 2 | 1 | no | — |
| 914 | C22⋊C4 | — | 14 | 1 | no | — |
| 915 | C22⋊C4 | — | 14 | 1 | no | — |
| 916 | C22⋊C4 | — | 14 | 1 | no | — |
| 917 | C22⋊C4 | — | 14 | 1 | no | — |
| 918 | C22⋊C4 | — | 14 | 1 | no | — |
| 919 | C22⋊C4 | — | 14 | 1 | no | — |
| 920 | C22⋊C4 | — | 14 | 1 | no | — |
| 921 | C22⋊C4 | — | 14 | 1 | no | — |
| 922 | C22⋊C4 | — | 14 | 1 | no | — |
| 923 | C22⋊C4 | — | 14 | 1 | no | — |
| 924 | C22⋊C4 | — | 14 | 1 | no | — |
| 925 | C22⋊C4 | — | 14 | 1 | no | — |
| 926 | C22⋊C4 | — | 14 | 1 | no | — |
| 927 | C22⋊C4 | — | 14 | 1 | no | — |
| 928 | C22⋊C4 | — | 14 | 1 | no | — |
| 929 | C22⋊C4 | — | 14 | 1 | no | — |
| 930 | C22⋊C4 | — | 14 | 1 | no | — |
| 931 | C22⋊C4 | — | 14 | 1 | no | — |
| 932 | C42 | — | 2 | 1 | no | — |
| 933 | C42 | — | 7 | 1 | no | — |
| 934 | C42 | — | 7 | 1 | no | — |
| 935 | C42 | — | 7 | 1 | no | — |
| 936 | C42 | — | 14 | 1 | no | — |
| 937 | C42 | — | 14 | 1 | no | — |
| 938 | C42 | D4×D7 | 1 | 1 | yes | characteristic |
| 939 | C42 | D4×D7 | 1 | 1 | yes | characteristic |
| 940 | C42 | D4×D7 | 1 | 1 | yes | characteristic |
| 941 | C2×C7 | — | 2 | 1 | no | — |
| 942 | C2×C7 | — | 8 | 1 | no | — |
| 943 | C2×C7 | — | 8 | 1 | no | — |
| 944 | C2×C7 | — | 8 | 1 | no | — |
| 945 | C2×C7 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 946 | D7 | — | 4 | 1 | no | — |
| 947 | D7 | — | 4 | 1 | no | — |
| 948 | D7 | — | 4 | 1 | no | — |
| 949 | D7 | — | 8 | 1 | no | — |
| 950 | D7 | — | 8 | 1 | no | — |
| 951 | C23 | — | 2 | 1 | no | — |
| 952 | C23 | — | 2 | 1 | no | — |
| 953 | C23 | — | 7 | 1 | no | — |
| 954 | C23 | — | 7 | 1 | no | — |
| 955 | C23 | — | 7 | 1 | no | — |
| 956 | C23 | — | 14 | 1 | no | — |
| 957 | C23 | — | 28 | 1 | no | — |
| 958 | C23 | — | 28 | 1 | no | — |
| 959 | C23 | — | 28 | 1 | no | — |
| 960 | C23 | — | 56 | 1 | no | — |
| 961 | C23 | — | 56 | 1 | no | — |
| 962 | C23 | — | 56 | 1 | no | — |
| 963 | Q8 | — | 2 | 1 | no | — |
| 964 | Q8 | — | 2 | 1 | no | — |
| 965 | Q8 | — | 2 | 1 | no | — |
| 966 | Q8 | — | 4 | 1 | no | — |
| 967 | Q8 | — | 4 | 1 | no | — |
| 968 | Q8 | — | 14 | 1 | no | — |
| 969 | Q8 | — | 14 | 1 | no | — |
| 970 | Q8 | — | 14 | 1 | no | — |
| 971 | Q8 | — | 28 | 1 | no | — |
| 972 | Q8 | — | 28 | 1 | no | — |
| 973 | Q8 | — | 28 | 1 | no | — |
| 974 | Q8 | — | 28 | 1 | no | — |
| 975 | Q8 | — | 28 | 1 | no | — |
| 976 | D4 | — | 2 | 1 | no | — |
| 977 | D4 | — | 2 | 1 | no | — |
| 978 | D4 | — | 2 | 1 | no | — |
| 979 | D4 | — | 4 | 1 | no | — |
| 980 | D4 | — | 4 | 1 | no | — |
| 981 | D4 | — | 4 | 1 | no | — |
| 982 | D4 | — | 8 | 1 | no | — |
| 983 | D4 | — | 8 | 1 | no | — |
| 984 | D4 | — | 14 | 1 | no | — |
| 985 | D4 | — | 14 | 1 | no | — |
| 986 | D4 | — | 14 | 1 | no | — |
| 987 | D4 | — | 28 | 1 | no | — |
| 988 | D4 | — | 28 | 1 | no | — |
| 989 | D4 | — | 28 | 1 | no | — |
| 990 | D4 | — | 28 | 1 | no | — |
| 991 | D4 | — | 28 | 1 | no | — |
| 992 | D4 | — | 28 | 1 | no | — |
| 993 | D4 | — | 28 | 1 | no | — |
| 994 | D4 | — | 28 | 1 | no | — |
| 995 | D4 | — | 28 | 1 | no | — |
| 996 | D4 | — | 28 | 1 | no | — |
| 997 | D4 | — | 28 | 1 | no | — |
| 998 | D4 | — | 28 | 1 | no | — |
| 999 | D4 | — | 28 | 1 | no | — |
| 1000 | D4 | — | 28 | 1 | no | — |
| 1001 | D4 | — | 56 | 1 | no | — |
| 1002 | D4 | — | 56 | 1 | no | — |
| 1003 | D4 | — | 56 | 1 | no | — |
| 1004 | D4 | — | 56 | 1 | no | — |
| 1005 | D4 | — | 56 | 1 | no | — |
| 1006 | D4 | — | 56 | 1 | no | — |
| 1007 | D4 | — | 56 | 1 | no | — |
| 1008 | D4 | — | 56 | 1 | no | — |
| 1009 | D4 | — | 56 | 1 | no | — |
| 1010 | C2×C4 | — | 2 | 1 | no | — |
| 1011 | C2×C4 | — | 2 | 1 | no | — |
| 1012 | C2×C4 | — | 2 | 1 | no | — |
| 1013 | C2×C4 | — | 2 | 1 | no | — |
| 1014 | C2×C4 | — | 4 | 1 | no | — |
| 1015 | C2×C4 | — | 4 | 1 | no | — |
| 1016 | C2×C4 | — | 4 | 1 | no | — |
| 1017 | C2×C4 | — | 7 | 1 | no | — |
| 1018 | C2×C4 | — | 8 | 1 | no | — |
| 1019 | C2×C4 | — | 8 | 1 | no | — |
| 1020 | C2×C4 | — | 14 | 1 | no | — |
| 1021 | C2×C4 | — | 14 | 1 | no | — |
| 1022 | C2×C4 | — | 14 | 1 | no | — |
| 1023 | C2×C4 | — | 14 | 1 | no | — |
| 1024 | C2×C4 | — | 14 | 1 | no | — |
| 1025 | C2×C4 | — | 14 | 1 | no | — |
| 1026 | C2×C4 | — | 14 | 1 | no | — |
| 1027 | C2×C4 | — | 14 | 1 | no | — |
| 1028 | C2×C4 | — | 14 | 1 | no | — |
| 1029 | C2×C4 | — | 14 | 1 | no | — |
| 1030 | C2×C4 | — | 14 | 1 | no | — |
| 1031 | C2×C4 | — | 28 | 1 | no | — |
| 1032 | C2×C4 | — | 28 | 1 | no | — |
| 1033 | C2×C4 | — | 28 | 1 | no | — |
| 1034 | C2×C4 | — | 28 | 1 | no | — |
| 1035 | C2×C4 | — | 28 | 1 | no | — |
| 1036 | C2×C4 | — | 28 | 1 | no | — |
| 1037 | C2×C4 | — | 28 | 1 | no | — |
| 1038 | C2×C4 | — | 28 | 1 | no | — |
| 1039 | C2×C4 | — | 28 | 1 | no | — |
| 1040 | C2×C4 | — | 28 | 1 | no | — |
| 1041 | C2×C4 | — | 56 | 1 | no | — |
| 1042 | C2×C4 | — | 56 | 1 | no | — |
| 1043 | C2×C4 | — | 56 | 1 | no | — |
| 1044 | C2×C4 | — | 56 | 1 | no | — |
| 1045 | C2×C4 | — | 56 | 1 | no | — |
| 1046 | C2×C4 | — | 56 | 1 | no | — |
| 1047 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 1048 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 1049 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 1050 | C8 | — | 4 | 1 | no | — |
| 1051 | C8 | — | 4 | 1 | no | — |
| 1052 | C8 | — | 4 | 1 | no | — |
| 1053 | C8 | — | 28 | 1 | no | — |
| 1054 | C8 | — | 28 | 1 | no | — |
| 1055 | C8 | — | 28 | 1 | no | — |
| 1056 | C7 | #33572 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1057 | C22 | — | 4 | 1 | no | — |
| 1058 | C22 | — | 4 | 1 | no | — |
| 1059 | C22 | — | 4 | 1 | no | — |
| 1060 | C22 | — | 4 | 1 | no | — |
| 1061 | C22 | — | 4 | 1 | no | — |
| 1062 | C22 | — | 4 | 1 | no | — |
| 1063 | C22 | — | 4 | 1 | no | — |
| 1064 | C22 | — | 14 | 1 | no | — |
| 1065 | C22 | — | 14 | 1 | no | — |
| 1066 | C22 | — | 14 | 1 | no | — |
| 1067 | C22 | — | 28 | 1 | no | — |
| 1068 | C22 | — | 28 | 1 | no | — |
| 1069 | C22 | — | 28 | 1 | no | — |
| 1070 | C22 | — | 28 | 1 | no | — |
| 1071 | C22 | — | 28 | 1 | no | — |
| 1072 | C22 | — | 28 | 1 | no | — |
| 1073 | C22 | — | 28 | 1 | no | — |
| 1074 | C22 | — | 112 | 1 | no | — |
| 1075 | C22 | — | 112 | 1 | no | — |
| 1076 | C22 | — | 112 | 1 | no | — |
| 1077 | C22 | — | 112 | 2 | no | — |
| 1078 | C22 | D7×#120 | 1 | 1 | yes | characteristic |
| 1079 | C4 | — | 2 | 1 | no | — |
| 1080 | C4 | — | 2 | 1 | no | — |
| 1081 | C4 | — | 2 | 1 | no | — |
| 1082 | C4 | — | 4 | 1 | no | — |
| 1083 | C4 | — | 4 | 1 | no | — |
| 1084 | C4 | — | 4 | 1 | no | — |
| 1085 | C4 | — | 4 | 1 | no | — |
| 1086 | C4 | — | 4 | 1 | no | — |
| 1087 | C4 | — | 7 | 1 | no | — |
| 1088 | C4 | — | 7 | 1 | no | — |
| 1089 | C4 | — | 28 | 1 | no | — |
| 1090 | C4 | — | 28 | 1 | no | — |
| 1091 | C4 | — | 28 | 1 | no | — |
| 1092 | C4 | — | 28 | 1 | no | — |
| 1093 | C4 | — | 28 | 1 | no | — |
| 1094 | C4 | — | 28 | 1 | no | — |
| 1095 | C2 | — | 2 | 1 | no | — |
| 1096 | C2 | — | 8 | 1 | no | — |
| 1097 | C2 | — | 8 | 1 | no | — |
| 1098 | C2 | — | 8 | 1 | no | — |
| 1099 | C2 | — | 28 | 1 | no | — |
| 1100 | C2 | — | 28 | 1 | no | — |
| 1101 | C2 | — | 28 | 1 | no | — |
| 1102 | C2 | — | 56 | 1 | no | — |
| 1103 | C2 | — | 56 | 1 | no | — |
| 1104 | C2 | D7×B(4,𝔽2) | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11744037 | C2 | semidirect |
| 2. #11737745 | C2 | semidirect |
| 3. #11737731 | C2 | semidirect |
| 4. #11737729 | C2 | semidirect |
| 5. C7×#2204 | C2 | semidirect |
| 6. #11729684 | C2 | semidirect |
| 7. #11728747 | C2 | semidirect |
| 8. #11728743 | C2 | semidirect |
| 9. #11728742 | C2 | semidirect |
| 10. #11726927 | C2 | semidirect |
| 11. #11726921 | C2 | semidirect |
| 12. #11726920 | C2 | semidirect |
| 13. #11726919 | C2 | semidirect |
| 14. #11726916 | C2 | semidirect |
| 15. #11726915 | C2 | semidirect |
| 17. C7×#555 | C22 | semidirect |
| 21. #90426 | C22 | semidirect |
| 26. #90363 | C22 | semidirect |
| 27. #90361 | C22 | semidirect |
| 39. C7×#456 | C22 | semidirect |
| 41. C7×#454 | C22 | semidirect |
| 42. #90018 | C22 | semidirect |
| 43. #90018 | C22 | semidirect |
| 48. #89867 | C22 | semidirect |
| 50. #89834 | C22 | semidirect |
| 58. #89524 | C22 | semidirect |
| 59. #89524 | C22 | semidirect |
| 63. C7×#356 | C22 | semidirect |
| 64. C7×#355 | C22 | semidirect |
| 65. C7×#355 | C22 | semidirect |
| 66. #89343 | C22 | semidirect |
| 67. #89337 | C22 | semidirect |
| 68. #89337 | C22 | semidirect |
| 69. #89273 | C22 | semidirect |
| 70. #89273 | C22 | semidirect |
| 71. #89273 | C22 | semidirect |
| 72. #89273 | C22 | semidirect |
| 73. #89272 | C22 | semidirect |
| 74. #89272 | C22 | semidirect |
| 230. #2204 | D7 | semidirect |
| 423. #555 | C2×D7 | semidirect |
| 443. #456 | C2×D7 | semidirect |
| 452. #454 | C2×D7 | semidirect |
| 467. #356 | C2×D7 | semidirect |
| 472. #355 | C2×D7 | semidirect |
| 473. #355 | C2×D7 | semidirect |
| 1056. C7 | #33572 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11744037 | 2 |
| #11737745 | 2 |
| #11737731 | 2 |
| #11737729 | 2 |
| C7×#2204 | 2 |
| #11729684 | 2 |
| #11728747 | 2 |
| #11728743 | 2 |
| #11728742 | 2 |
| #11726927 | 2 |
| #11726921 | 2 |
| #11726920 | 2 |
| #11726919 | 2 |
| #11726916 | 2 |
| #11726915 | 2 |
| #33572 | 7 |