Finite Group DatabasebetaFinite Group DatabasebetaOrder 2048.
5406 conjugacy classes of subgroups.
The subgroup lattice has 1165 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72214332 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72214308 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #72214250 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #72214217 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #72214178 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #72214153 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #72214134 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #72214124 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #72214092 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #72214066 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #72214039 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #72213983 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #72213969 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #7623665 | C22 | 1 | 4 | yes | — |
| 15 | #7622637 | — | 2 | 4 | no | — |
| 16 | #6383888 | C22 | 1 | 2 | yes | complemented |
| 17 | #6383881 | C22 | 1 | 2 | yes | complemented |
| 18 | #498582 | C22 | 1 | 4 | yes | complemented |
| 19 | #498379 | — | 2 | 4 | no | — |
| 20 | #498342 | C22 | 1 | 4 | yes | complemented |
| 21 | #498338 | C22 | 1 | 4 | yes | complemented |
| 22 | #498126 | — | 2 | 4 | no | — |
| 23 | #498124 | — | 2 | 4 | no | — |
| 24 | #497868 | C22 | 1 | 4 | yes | — |
| 25 | #497838 | C22 | 1 | 4 | yes | complemented |
| 26 | #497430 | — | 2 | 4 | no | — |
| 27 | #497410 | C22 | 1 | 4 | yes | complemented |
| 28 | #497408 | C22 | 1 | 4 | yes | complemented |
| 29 | #496124 | C22 | 1 | 4 | yes | complemented |
| 30 | #495899 | — | 2 | 4 | no | — |
| 31 | #495854 | C22 | 1 | 4 | yes | complemented |
| 32 | #495850 | C22 | 1 | 4 | yes | complemented |
| 33 | #495739 | — | 2 | 4 | no | — |
| 34 | #495737 | — | 2 | 4 | no | — |
| 35 | #493248 | C22 | 1 | 2 | yes | — |
| 36 | #493226 | C22 | 1 | 4 | yes | complemented |
| 37 | #492532 | C4 | 1 | 4 | yes | complemented |
| 38 | #492531 | C4 | 1 | 4 | yes | complemented |
| 39 | #492528 | C4 | 1 | 8 | yes | complemented |
| 40 | #491469 | C22 | 1 | 1 | yes | characteristic |
| 41 | #490485 | C22 | 1 | 4 | yes | — |
| 42 | #488869 | C22 | 1 | 2 | yes | — |
| 43 | C2×#12310 | C22 | 1 | 2 | yes | — |
| 44 | #483600 | C22 | 1 | 2 | yes | — |
| 45 | #483512 | C22 | 1 | 2 | yes | — |
| 46 | #213274 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #212918 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #141758 | C22 | 1 | 4 | yes | complemented |
| 49 | #141754 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #141751 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #141301 | C22 | 1 | 4 | yes | complemented |
| 52 | #140467 | C22 | 1 | 4 | yes | complemented |
| 53 | #140289 | C22 | 1 | 4 | yes | complemented |
| 54 | #140287 | C22 | 1 | 4 | yes | complemented |
| 55 | #138661 | C22 | 1 | 4 | yes | complemented |
| 56 | #138660 | C22 | 1 | 4 | yes | complemented |
| 57 | #137551 | C22 | 1 | 2 | yes | complemented |
| 58 | #137550 | C22 | 1 | 2 | yes | complemented |
| 59 | #136870 | C22 | 1 | 4 | yes | complemented |
| 60 | #136868 | C22 | 1 | 4 | yes | complemented |
| 61 | #136539 | C22 | 1 | 2 | yes | complemented |
| 62 | #136537 | C22 | 1 | 2 | yes | complemented |
| 63 | #136363 | C22 | 1 | 4 | yes | complemented |
| 64 | #136361 | C22 | 1 | 4 | yes | complemented |
| 65 | #135758 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #134947 | C22 | 1 | 4 | yes | complemented |
| 67 | #131839 | C22 | 1 | 2 | yes | complemented |
| 68 | #131837 | C22 | 1 | 2 | yes | complemented |
| 69 | #129173 | C22 | 1 | 2 | yes | complemented |
| 70 | #129159 | C22 | 1 | 2 | yes | complemented |
| 71 | #129125 | C22 | 1 | 2 | yes | complemented |
| 72 | #128919 | C22 | 1 | 2 | yes | complemented |
| 73 | #128916 | C22 | 1 | 2 | yes | complemented |
| 74 | #128726 | C22 | 1 | 4 | yes | complemented |
| 75 | #128714 | C22 | 1 | 4 | yes | complemented |
| 76 | #128570 | C22 | 1 | 4 | yes | complemented |
| 77 | #126544 | C22 | 1 | 1 | yes | characteristic, complemented |
| 78 | #62636 | — | 2 | 4 | no | — |
| 79 | #61105 | C23 | 1 | 2 | yes | — |
| 80 | C2×#3292 | C23 | 1 | 2 | yes | — |
| 81 | #60184 | — | 2 | 4 | no | — |
| 82 | #60176 | — | 2 | 4 | no | — |
| 83 | #33858 | C2×C4 | 1 | 16 | yes | complemented |
| 84 | #33856 | C2×C4 | 1 | 16 | yes | complemented |
| 85 | #33854 | — | 2 | 16 | no | — |
| 86 | #33717 | C23 | 1 | 4 | yes | — |
| 87 | #33618 | — | 2 | 4 | no | — |
| 88 | #33594 | C23 | 1 | 4 | yes | — |
| 89 | C2×#2213 | C23 | 1 | 4 | yes | — |
| 90 | #33541 | — | 2 | 4 | no | — |
| 91 | #33539 | — | 2 | 4 | no | — |
| 92 | #33471 | — | 2 | 4 | no | — |
| 93 | #33471 | — | 2 | 4 | no | — |
| 94 | #33471 | — | 4 | 8 | no | — |
| 95 | #33469 | — | 2 | 4 | no | — |
| 96 | #33469 | — | 2 | 4 | no | — |
| 97 | #33469 | — | 4 | 8 | no | — |
| 98 | #33468 | — | 2 | 4 | no | — |
| 99 | #33468 | — | 4 | 8 | no | — |
| 100 | #33468 | D4 | 1 | 4 | yes | — |
| 101 | C2×AGL(1,ℤ/16) | — | 2 | 4 | no | — |
| 102 | C2×AGL(1,ℤ/16) | — | 2 | 4 | no | — |
| 103 | C2×AGL(1,ℤ/16) | — | 2 | 4 | no | — |
| 104 | C2×AGL(1,ℤ/16) | — | 4 | 8 | no | — |
| 105 | #33463 | C23 | 1 | 2 | yes | — |
| 106 | #33443 | C23 | 1 | 4 | yes | — |
| 107 | #33443 | C23 | 1 | 4 | yes | — |
| 108 | #33404 | — | 2 | 4 | no | — |
| 109 | #33392 | — | 2 | 4 | no | — |
| 110 | #33388 | — | 2 | 4 | no | — |
| 111 | #33329 | — | 2 | 4 | no | — |
| 112 | #23201 | C23 | 1 | 2 | yes | — |
| 113 | #23196 | C23 | 1 | 2 | yes | — |
| 114 | #23048 | — | 2 | 4 | no | — |
| 115 | #23043 | — | 2 | 4 | no | — |
| 116 | #22899 | — | 4 | 2 | no | — |
| 117 | #22897 | — | 4 | 2 | no | — |
| 118 | #22694 | C23 | 1 | 4 | yes | — |
| 119 | #22689 | C23 | 1 | 4 | yes | — |
| 120 | #22463 | — | 2 | 4 | no | — |
| 121 | #22461 | — | 2 | 4 | no | — |
| 122 | #21706 | C23 | 1 | 2 | yes | — |
| 123 | #21690 | — | 4 | 1 | no | — |
| 124 | #21690 | C23 | 1 | 2 | yes | — |
| 125 | #21559 | — | 2 | 4 | no | — |
| 126 | #21555 | — | 2 | 4 | no | — |
| 127 | #21477 | — | 4 | 2 | no | — |
| 128 | C4×#453 | — | 4 | 2 | no | — |
| 129 | #20512 | C23 | 1 | 4 | yes | — |
| 130 | #19603 | C23 | 1 | 1 | yes | characteristic |
| 131 | C2×#1712 | C23 | 1 | 1 | yes | characteristic |
| 132 | #17962 | — | 4 | 1 | no | — |
| 133 | #13261 | C23 | 1 | 4 | yes | — |
| 134 | #13259 | C23 | 1 | 4 | yes | — |
| 135 | #13249 | — | 2 | 4 | no | — |
| 136 | #13249 | — | 2 | 4 | no | — |
| 137 | #13247 | — | 2 | 4 | no | — |
| 138 | #13213 | C23 | 1 | 4 | yes | — |
| 139 | #13210 | C23 | 1 | 4 | yes | — |
| 140 | #13188 | C23 | 1 | 4 | yes | — |
| 141 | #13186 | C23 | 1 | 4 | yes | — |
| 142 | #13175 | — | 2 | 4 | no | — |
| 143 | #13158 | — | 2 | 4 | no | — |
| 144 | #13156 | — | 2 | 4 | no | — |
| 145 | #13140 | — | 2 | 4 | no | — |
| 146 | #13138 | — | 2 | 4 | no | — |
| 147 | #13070 | — | 2 | 4 | no | — |
| 148 | #13068 | — | 2 | 4 | no | — |
| 149 | #13036 | — | 2 | 4 | no | — |
| 150 | #13033 | — | 2 | 4 | no | — |
| 151 | #13032 | — | 2 | 4 | no | — |
| 152 | #13030 | — | 2 | 4 | no | — |
| 153 | #13025 | — | 2 | 4 | no | — |
| 154 | #13024 | — | 2 | 4 | no | — |
| 155 | #13007 | — | 2 | 4 | no | — |
| 156 | #13005 | — | 2 | 4 | no | — |
| 157 | #12953 | — | 2 | 4 | no | — |
| 158 | #12952 | — | 2 | 4 | no | — |
| 159 | #12949 | — | 2 | 4 | no | — |
| 160 | #12948 | — | 2 | 4 | no | — |
| 161 | #12934 | — | 2 | 4 | no | — |
| 162 | #12933 | — | 2 | 4 | no | — |
| 163 | #12903 | C23 | 1 | 4 | yes | — |
| 164 | #12833 | — | 2 | 4 | no | — |
| 165 | #12825 | C23 | 1 | 4 | yes | — |
| 166 | #12823 | C23 | 1 | 4 | yes | — |
| 167 | #12752 | — | 2 | 4 | no | — |
| 168 | #12750 | — | 2 | 4 | no | — |
| 169 | #12678 | D4 | 1 | 4 | yes | — |
| 170 | #12668 | C23 | 1 | 2 | yes | — |
| 171 | #12667 | C23 | 1 | 4 | yes | — |
| 172 | #12667 | C23 | 1 | 4 | yes | — |
| 173 | #12659 | C23 | 1 | 4 | yes | — |
| 174 | #12651 | — | 2 | 4 | no | — |
| 175 | #12651 | D4 | 1 | 4 | yes | — |
| 176 | #12649 | D4 | 1 | 4 | yes | — |
| 177 | #12647 | — | 2 | 4 | no | — |
| 178 | #12646 | C23 | 1 | 4 | yes | — |
| 179 | #12618 | — | 2 | 4 | no | — |
| 180 | #12618 | — | 2 | 4 | no | — |
| 181 | #12609 | — | 2 | 4 | no | — |
| 182 | C4×#347 | C23 | 1 | 2 | yes | — |
| 183 | #12519 | C2×C4 | 1 | 4 | yes | complemented |
| 184 | #12517 | C2×C4 | 1 | 2 | yes | complemented |
| 185 | #12515 | C2×C4 | 1 | 2 | yes | complemented |
| 186 | #12438 | C2×C4 | 1 | 16 | yes | complemented |
| 187 | #12436 | C2×C4 | 1 | 16 | yes | complemented |
| 188 | #12313 | C2×C4 | 1 | 4 | yes | complemented |
| 189 | #12312 | C2×C4 | 1 | 4 | yes | complemented |
| 190 | #12311 | C2×C4 | 1 | 4 | yes | complemented |
| 191 | #12310 | C2×C4 | 1 | 8 | yes | complemented |
| 192 | #12310 | C2×C4 | 1 | 8 | yes | complemented |
| 193 | #12310 | C2×C4 | 1 | 4 | yes | complemented |
| 194 | #12068 | — | 2 | 8 | no | — |
| 195 | #12047 | C2×C4 | 1 | 8 | yes | complemented |
| 196 | #12046 | C2×C4 | 1 | 8 | yes | complemented |
| 197 | #12011 | C23 | 1 | 2 | yes | — |
| 198 | #12002 | C23 | 1 | 2 | yes | — |
| 199 | #11922 | C23 | 1 | 2 | yes | — |
| 200 | #11920 | C23 | 1 | 2 | yes | — |
| 201 | C2×#1357 | C23 | 1 | 2 | yes | — |
| 202 | C2×#1357 | C23 | 1 | 2 | yes | — |
| 203 | C2×#1336 | C23 | 1 | 4 | yes | — |
| 204 | C2×#1335 | C23 | 1 | 4 | yes | — |
| 205 | #11404 | C23 | 1 | 2 | yes | — |
| 206 | #11402 | C23 | 1 | 1 | yes | characteristic |
| 207 | C8×M32 | C23 | 1 | 1 | yes | characteristic |
| 208 | #9862 | C23 | 1 | 2 | yes | — |
| 209 | #9849 | — | 4 | 1 | no | — |
| 210 | #9837 | — | 4 | 1 | no | — |
| 211 | #9837 | C23 | 1 | 2 | yes | — |
| 212 | #8822 | C23 | 1 | 1 | yes | characteristic |
| 213 | #8813 | C23 | 1 | 1 | yes | characteristic |
| 214 | #7846 | C23 | 1 | 1 | yes | characteristic |
| 215 | #7270 | C23 | 1 | 4 | yes | — |
| 216 | #7268 | C23 | 1 | 4 | yes | — |
| 217 | #7182 | C23 | 1 | 4 | yes | — |
| 218 | #7179 | C23 | 1 | 4 | yes | — |
| 219 | #7162 | C23 | 1 | 4 | yes | — |
| 220 | #3584 | — | 2 | 4 | no | — |
| 221 | C2×#576 | — | 2 | 4 | no | — |
| 222 | #3573 | — | 4 | 2 | no | — |
| 223 | C4×H(5,𝔽2) | — | 4 | 2 | no | — |
| 224 | #3416 | — | 2 | 16 | no | — |
| 225 | #3416 | — | 4 | 8 | no | — |
| 226 | #3415 | — | 2 | 16 | no | — |
| 227 | #3415 | — | 4 | 8 | no | — |
| 228 | #3414 | — | 2 | 4 | no | — |
| 229 | #3414 | — | 4 | 8 | no | — |
| 230 | #3414 | C2×D4 | 1 | 2 | yes | — |
| 231 | C2×#509 | — | 2 | 4 | no | — |
| 232 | C2×#509 | — | 2 | 4 | no | — |
| 233 | C2×#509 | — | 2 | 4 | no | — |
| 234 | C2×#509 | — | 4 | 8 | no | — |
| 235 | #3407 | — | 2 | 4 | no | — |
| 236 | #3407 | — | 2 | 4 | no | — |
| 237 | #3293 | C22×C4 | 1 | 4 | yes | — |
| 238 | #3292 | — | 2 | 8 | no | — |
| 239 | #3292 | — | 4 | 2 | no | — |
| 240 | #3292 | C22×C4 | 1 | 4 | yes | — |
| 241 | #3292 | C22×C4 | 1 | 8 | yes | complemented |
| 242 | #3291 | — | 4 | 2 | no | — |
| 243 | #3290 | — | 2 | 8 | no | — |
| 244 | #3169 | — | 4 | 1 | no | — |
| 245 | #3147 | C24 | 1 | 2 | yes | — |
| 246 | C2×#493 | — | 4 | 1 | no | — |
| 247 | C2×#493 | C24 | 1 | 2 | yes | — |
| 248 | #3067 | — | 2 | 4 | no | — |
| 249 | C2×#472 | — | 2 | 4 | no | — |
| 250 | #3018 | — | 4 | 2 | no | — |
| 251 | C2×#453 | — | 4 | 2 | no | — |
| 252 | #2957 | — | 2 | 4 | no | — |
| 253 | #2957 | — | 2 | 4 | no | — |
| 254 | #2957 | — | 4 | 8 | no | — |
| 255 | #2956 | — | 4 | 4 | no | — |
| 256 | #2956 | — | 8 | 4 | no | — |
| 257 | #2955 | — | 4 | 4 | no | — |
| 258 | #2955 | — | 8 | 4 | no | — |
| 259 | C2×#444 | — | 2 | 4 | no | — |
| 260 | C2×#444 | — | 4 | 8 | no | — |
| 261 | C2×#444 | C2×D4 | 1 | 4 | yes | — |
| 262 | C2×#443 | C24 | 1 | 4 | yes | — |
| 263 | #2952 | — | 2 | 4 | no | — |
| 264 | #2952 | — | 4 | 4 | no | — |
| 265 | #2948 | — | 2 | 4 | no | — |
| 266 | #2948 | — | 4 | 4 | no | — |
| 267 | #2946 | — | 4 | 4 | no | — |
| 268 | #2946 | — | 8 | 4 | no | — |
| 269 | C4×AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 270 | C4×AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 271 | #2943 | — | 4 | 4 | no | — |
| 272 | #2943 | C2×D4 | 1 | 4 | yes | — |
| 273 | C2×#442 | — | 2 | 4 | no | — |
| 274 | C2×#442 | — | 4 | 4 | no | — |
| 275 | C2×#442 | — | 8 | 2 | no | — |
| 276 | #2931 | — | 2 | 2 | no | — |
| 277 | #2916 | — | 2 | 4 | no | — |
| 278 | #2912 | — | 2 | 4 | no | — |
| 279 | #2901 | — | 4 | 4 | no | — |
| 280 | #2897 | — | 4 | 4 | no | — |
| 281 | #2875 | — | 2 | 4 | no | — |
| 282 | C4×#127 | — | 2 | 2 | no | — |
| 283 | #2250 | — | 2 | 8 | no | — |
| 284 | #2248 | C22×C4 | 1 | 8 | yes | complemented |
| 285 | #2246 | C22×C4 | 1 | 8 | yes | complemented |
| 286 | #2223 | — | 2 | 16 | no | — |
| 287 | #2221 | — | 2 | 16 | no | — |
| 288 | #2214 | C22×C4 | 1 | 8 | yes | complemented |
| 289 | #2213 | — | 2 | 8 | no | — |
| 290 | #2213 | C22×C4 | 1 | 16 | yes | — |
| 291 | #2213 | C22×C4 | 1 | 8 | yes | complemented |
| 292 | #2212 | — | 2 | 8 | no | — |
| 293 | #2194 | — | 2 | 16 | no | — |
| 294 | #2193 | — | 2 | 16 | no | — |
| 295 | #2192 | — | 2 | 16 | no | — |
| 296 | #2192 | — | 2 | 16 | no | — |
| 297 | AGL(1,ℤ/16) | — | 2 | 8 | no | — |
| 298 | AGL(1,ℤ/16) | — | 4 | 8 | no | — |
| 299 | AGL(1,ℤ/16) | — | 4 | 8 | no | — |
| 300 | AGL(1,ℤ/16) | — | 4 | 8 | no | — |
| 301 | AGL(1,ℤ/16) | — | 4 | 8 | no | — |
| 302 | AGL(1,ℤ/16) | — | 4 | 8 | no | — |
| 303 | AGL(1,ℤ/16) | — | 4 | 8 | no | — |
| 304 | AGL(1,ℤ/16) | — | 4 | 8 | no | — |
| 305 | AGL(1,ℤ/16) | — | 4 | 4 | no | — |
| 306 | AGL(1,ℤ/16) | — | 4 | 4 | no | — |
| 307 | AGL(1,ℤ/16) | — | 4 | 8 | no | — |
| 308 | AGL(1,ℤ/16) | — | 4 | 8 | no | — |
| 309 | AGL(1,ℤ/16) | — | 4 | 8 | no | — |
| 310 | AGL(1,ℤ/16) | — | 8 | 4 | no | — |
| 311 | AGL(1,ℤ/16) | — | 8 | 4 | no | — |
| 312 | #2180 | — | 2 | 8 | no | — |
| 313 | #2180 | — | 4 | 8 | no | — |
| 314 | #2180 | — | 4 | 4 | no | — |
| 315 | #2180 | — | 4 | 4 | no | — |
| 316 | #2180 | — | 4 | 8 | no | — |
| 317 | #2179 | #41 | 1 | 8 | yes | — |
| 318 | #2178 | C22×C4 | 1 | 8 | yes | — |
| 319 | #2171 | — | 2 | 8 | no | — |
| 320 | #2171 | — | 2 | 8 | no | — |
| 321 | #2170 | — | 4 | 4 | no | — |
| 322 | #2170 | C22×C4 | 1 | 16 | yes | complemented |
| 323 | #2161 | C2×D4 | 1 | 2 | yes | — |
| 324 | #2155 | — | 2 | 4 | no | — |
| 325 | #2155 | — | 4 | 8 | no | — |
| 326 | #2155 | C2×D4 | 1 | 4 | yes | — |
| 327 | C2×#365 | — | 2 | 4 | no | — |
| 328 | C2×#365 | — | 2 | 4 | no | — |
| 329 | C2×#365 | — | 2 | 4 | no | — |
| 330 | C2×#365 | — | 4 | 8 | no | — |
| 331 | C2×#364 | C24 | 1 | 4 | yes | — |
| 332 | C2×#364 | C24 | 1 | 4 | yes | — |
| 333 | #2148 | — | 2 | 4 | no | — |
| 334 | #2148 | — | 2 | 4 | no | — |
| 335 | #2148 | — | 4 | 8 | no | — |
| 336 | #2148 | C2×D4 | 1 | 4 | yes | — |
| 337 | C2×#361 | — | 2 | 4 | no | — |
| 338 | C2×#361 | — | 2 | 4 | no | — |
| 339 | C2×#361 | — | 2 | 4 | no | — |
| 340 | C2×#361 | — | 2 | 4 | no | — |
| 341 | C2×#361 | — | 4 | 8 | no | — |
| 342 | #2145 | — | 2 | 4 | no | — |
| 343 | #2145 | — | 4 | 8 | no | — |
| 344 | #2145 | C2×D4 | 1 | 4 | yes | — |
| 345 | C2×#360 | — | 2 | 4 | no | — |
| 346 | C2×#360 | — | 2 | 4 | no | — |
| 347 | C2×#360 | — | 2 | 4 | no | — |
| 348 | C2×#360 | — | 4 | 8 | no | — |
| 349 | #2143 | — | 2 | 4 | no | — |
| 350 | #2143 | C2×D4 | 1 | 4 | yes | — |
| 351 | #2140 | — | 2 | 4 | no | — |
| 352 | #2117 | — | 2 | 4 | no | — |
| 353 | #2117 | — | 2 | 4 | no | — |
| 354 | #2110 | — | 2 | 4 | no | — |
| 355 | #2110 | — | 2 | 4 | no | — |
| 356 | #2110 | — | 4 | 8 | no | — |
| 357 | C2×#347 | — | 2 | 4 | no | — |
| 358 | C2×#347 | — | 4 | 8 | no | — |
| 359 | C2×#347 | C2×D4 | 1 | 4 | yes | — |
| 360 | C2×#347 | C2×D4 | 1 | 4 | yes | — |
| 361 | C4×M32 | C24 | 1 | 2 | yes | — |
| 362 | C4×M32 | C24 | 1 | 2 | yes | — |
| 363 | #1978 | — | 2 | 4 | no | — |
| 364 | #1976 | — | 2 | 4 | no | — |
| 365 | #1975 | — | 2 | 4 | no | — |
| 366 | #1972 | — | 2 | 4 | no | — |
| 367 | #1972 | — | 8 | 2 | no | — |
| 368 | #1962 | — | 2 | 2 | no | — |
| 369 | #1957 | — | 2 | 2 | no | — |
| 370 | #1957 | — | 4 | 2 | no | — |
| 371 | #1953 | — | 2 | 4 | no | — |
| 372 | #1951 | — | 2 | 4 | no | — |
| 373 | #1932 | — | 4 | 4 | no | — |
| 374 | #1931 | — | 4 | 4 | no | — |
| 375 | #1907 | — | 4 | 4 | no | — |
| 376 | #1906 | — | 4 | 4 | no | — |
| 377 | #1887 | — | 4 | 2 | no | — |
| 378 | #1884 | — | 4 | 2 | no | — |
| 379 | #1883 | — | 4 | 4 | no | — |
| 380 | #1881 | — | 4 | 4 | no | — |
| 381 | #1861 | — | 4 | 4 | no | — |
| 382 | #1859 | — | 4 | 4 | no | — |
| 383 | #1858 | — | 4 | 2 | no | — |
| 384 | #1856 | — | 4 | 2 | no | — |
| 385 | #1848 | C24 | 1 | 2 | yes | — |
| 386 | #1844 | — | 4 | 1 | no | — |
| 387 | #1844 | C24 | 1 | 2 | yes | — |
| 388 | #1815 | — | 2 | 4 | no | — |
| 389 | #1814 | — | 2 | 4 | no | — |
| 390 | #1794 | — | 4 | 2 | no | — |
| 391 | #1792 | — | 4 | 2 | no | — |
| 392 | #1778 | C2×D4 | 1 | 4 | yes | — |
| 393 | #1773 | C2×D4 | 1 | 4 | yes | — |
| 394 | #1772 | C24 | 1 | 4 | yes | — |
| 395 | #1765 | — | 2 | 4 | no | — |
| 396 | #1764 | — | 2 | 4 | no | — |
| 397 | C4×#104 | — | 2 | 4 | no | — |
| 398 | #1757 | — | 4 | 2 | no | — |
| 399 | C4×#100 | — | 4 | 2 | no | — |
| 400 | C4×#97 | — | 2 | 1 | no | — |
| 401 | C4×#97 | C24 | 1 | 1 | yes | characteristic |
| 402 | #1713 | C22×C4 | 1 | 1 | yes | characteristic, complemented |
| 403 | #1712 | — | 4 | 1 | no | — |
| 404 | #1712 | C22×C4 | 1 | 2 | yes | — |
| 405 | #1712 | C22×C4 | 1 | 2 | yes | — |
| 406 | #1712 | C22×C4 | 1 | 1 | yes | characteristic, complemented |
| 407 | #1709 | C22×C4 | 1 | 2 | yes | complemented |
| 408 | #1706 | — | 4 | 1 | no | — |
| 409 | #1594 | — | 8 | 2 | no | — |
| 410 | #1580 | — | 8 | 2 | no | — |
| 411 | #1566 | — | 4 | 1 | no | — |
| 412 | #1492 | — | 4 | 2 | no | — |
| 413 | C2×#322 | — | 2 | 1 | no | — |
| 414 | C2×#322 | C24 | 1 | 1 | yes | characteristic |
| 415 | C2×C82 | C24 | 1 | 1 | yes | characteristic |
| 416 | #1389 | C2×D4 | 1 | 4 | yes | — |
| 417 | #1388 | — | 2 | 4 | no | — |
| 418 | #1388 | C2×D4 | 1 | 4 | yes | — |
| 419 | #1386 | — | 2 | 4 | no | — |
| 420 | #1385 | — | 2 | 4 | no | — |
| 421 | #1385 | C2×D4 | 1 | 2 | yes | — |
| 422 | #1384 | C2×D4 | 1 | 2 | yes | — |
| 423 | #1383 | — | 2 | 4 | no | — |
| 424 | #1378 | — | 2 | 4 | no | — |
| 425 | #1378 | — | 2 | 4 | no | — |
| 426 | #1377 | — | 2 | 4 | no | — |
| 427 | #1373 | C22×C4 | 1 | 8 | yes | complemented |
| 428 | #1369 | — | 2 | 4 | no | — |
| 429 | #1359 | — | 4 | 2 | no | — |
| 430 | #1358 | C22×C4 | 1 | 4 | yes | complemented |
| 431 | #1357 | — | 4 | 2 | no | — |
| 432 | #1357 | C22×C4 | 1 | 8 | yes | complemented |
| 433 | #1357 | C22×C4 | 1 | 4 | yes | complemented |
| 434 | #1336 | — | 2 | 8 | no | — |
| 435 | #1335 | C22×C4 | 1 | 8 | yes | complemented |
| 436 | #1335 | C22×C4 | 1 | 8 | yes | complemented |
| 437 | #1313 | — | 2 | 4 | no | — |
| 438 | #1312 | — | 4 | 1 | no | — |
| 439 | #1311 | C22×C4 | 1 | 2 | yes | complemented |
| 440 | C8×C16 | C22×C4 | 1 | 2 | yes | complemented |
| 441 | #585 | — | 4 | 2 | no | — |
| 442 | C2×H(5,𝔽2) | — | 4 | 2 | no | — |
| 443 | #578 | — | 2 | 8 | no | — |
| 444 | #578 | — | 4 | 4 | no | — |
| 445 | #577 | — | 4 | 8 | no | — |
| 446 | #577 | — | 8 | 4 | no | — |
| 447 | #576 | — | 2 | 8 | no | — |
| 448 | #576 | — | 2 | 16 | no | — |
| 449 | #576 | — | 4 | 8 | no | — |
| 450 | #576 | — | 4 | 8 | no | — |
| 451 | #576 | — | 4 | 4 | no | — |
| 452 | #576 | — | 8 | 4 | no | — |
| 453 | #575 | — | 4 | 4 | no | — |
| 454 | #575 | — | 8 | 4 | no | — |
| 455 | C2×AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 456 | C2×AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 457 | C2×#135 | — | 2 | 4 | no | — |
| 458 | C2×#135 | — | 4 | 8 | no | — |
| 459 | C2×#135 | — | 4 | 4 | no | — |
| 460 | C2×#135 | C22×D4 | 1 | 4 | yes | — |
| 461 | C22×D8 | — | 2 | 4 | no | — |
| 462 | C22×D8 | — | 4 | 4 | no | — |
| 463 | C22×D8 | — | 8 | 2 | no | — |
| 464 | #568 | — | 4 | 2 | no | — |
| 465 | #568 | — | 4 | 4 | no | — |
| 466 | #568 | — | 8 | 8 | no | — |
| 467 | #568 | — | 16 | 2 | no | — |
| 468 | C2×#131 | — | 2 | 4 | no | — |
| 469 | C2×#131 | — | 2 | 4 | no | — |
| 470 | C2×#131 | — | 4 | 2 | no | — |
| 471 | C2×#131 | — | 8 | 8 | no | — |
| 472 | C2×#131 | — | 16 | 2 | no | — |
| 473 | #532 | — | 2 | 2 | no | — |
| 474 | C2×#127 | — | 2 | 2 | no | — |
| 475 | #520 | — | 4 | 4 | no | — |
| 476 | #520 | — | 8 | 4 | no | — |
| 477 | #518 | — | 4 | 2 | no | — |
| 478 | #518 | — | 8 | 4 | no | — |
| 479 | #518 | — | 16 | 2 | no | — |
| 480 | C4×#41 | — | 2 | 4 | no | — |
| 481 | C4×#41 | — | 8 | 4 | no | — |
| 482 | C2×C4×D4 | — | 4 | 2 | no | — |
| 483 | C2×C4×D4 | — | 8 | 4 | no | — |
| 484 | C2×C4×D4 | — | 8 | 2 | no | — |
| 485 | C2×C4×D4 | — | 16 | 2 | no | — |
| 486 | #510 | — | 2 | 8 | no | — |
| 487 | #510 | — | 4 | 4 | no | — |
| 488 | #510 | — | 4 | 16 | no | — |
| 489 | #510 | AGL(1,ℤ/8) | 1 | 8 | yes | — |
| 490 | #509 | — | 2 | 16 | no | — |
| 491 | #509 | — | 2 | 8 | no | — |
| 492 | #509 | — | 4 | 8 | no | — |
| 493 | #509 | — | 4 | 4 | no | — |
| 494 | #509 | — | 4 | 16 | no | — |
| 495 | #509 | — | 4 | 16 | no | — |
| 496 | #509 | — | 4 | 16 | no | — |
| 497 | #509 | — | 4 | 8 | no | — |
| 498 | #509 | — | 4 | 8 | no | — |
| 499 | #509 | — | 8 | 4 | no | — |
| 500 | #509 | — | 8 | 4 | no | — |
| 501 | #509 | AGL(1,ℤ/8) | 1 | 8 | yes | — |
| 502 | #508 | — | 4 | 8 | no | — |
| 503 | #508 | — | 4 | 16 | no | — |
| 504 | #508 | — | 4 | 16 | no | — |
| 505 | #508 | C4×D4 | 1 | 8 | yes | — |
| 506 | C2×SD32 | — | 2 | 8 | no | — |
| 507 | C2×SD32 | — | 2 | 8 | no | — |
| 508 | C2×SD32 | — | 4 | 4 | no | — |
| 509 | C2×SD32 | — | 4 | 16 | no | — |
| 510 | C2×D16 | — | 2 | 8 | no | — |
| 511 | C2×D16 | — | 2 | 8 | no | — |
| 512 | C2×D16 | — | 4 | 4 | no | — |
| 513 | C2×D16 | — | 4 | 16 | no | — |
| 514 | #504 | — | 2 | 16 | no | — |
| 515 | #504 | — | 4 | 8 | no | — |
| 516 | #504 | — | 4 | 8 | no | — |
| 517 | #504 | — | 8 | 4 | no | — |
| 518 | C2×M32 | — | 2 | 4 | no | — |
| 519 | C2×M32 | — | 2 | 4 | no | — |
| 520 | C2×M32 | — | 4 | 8 | no | — |
| 521 | C2×M32 | — | 4 | 8 | no | — |
| 522 | C2×M32 | C22×D4 | 1 | 4 | yes | — |
| 523 | C2×M32 | C22×D4 | 1 | 2 | yes | — |
| 524 | C2×M32 | C22×D4 | 1 | 2 | yes | — |
| 525 | #500 | — | 4 | 1 | no | — |
| 526 | #495 | — | 2 | 4 | no | — |
| 527 | #494 | C23×C4 | 1 | 2 | yes | — |
| 528 | #493 | — | 2 | 4 | no | — |
| 529 | #493 | — | 2 | 2 | no | — |
| 530 | #493 | — | 4 | 2 | no | — |
| 531 | #493 | — | 4 | 2 | no | — |
| 532 | #493 | — | 4 | 1 | no | — |
| 533 | #493 | — | 8 | 2 | no | — |
| 534 | #493 | C23×C4 | 1 | 4 | yes | — |
| 535 | #493 | C23×C4 | 1 | 2 | yes | — |
| 536 | #492 | — | 2 | 2 | no | — |
| 537 | #486 | — | 4 | 2 | no | — |
| 538 | #473 | — | 2 | 8 | no | — |
| 539 | #472 | — | 2 | 8 | no | — |
| 540 | #472 | — | 2 | 16 | no | — |
| 541 | #472 | — | 4 | 8 | no | — |
| 542 | #471 | — | 4 | 8 | no | — |
| 543 | #466 | — | 8 | 2 | no | — |
| 544 | #456 | — | 4 | 4 | no | — |
| 545 | #455 | — | 4 | 4 | no | — |
| 546 | #454 | — | 4 | 4 | no | — |
| 547 | #453 | — | 4 | 8 | no | — |
| 548 | #453 | — | 4 | 4 | no | — |
| 549 | #453 | — | 4 | 8 | no | — |
| 550 | #444 | — | 2 | 8 | no | — |
| 551 | #444 | — | 4 | 4 | no | — |
| 552 | #444 | — | 4 | 4 | no | — |
| 553 | #444 | — | 4 | 4 | no | — |
| 554 | #444 | — | 4 | 4 | no | — |
| 555 | #444 | — | 4 | 4 | no | — |
| 556 | #444 | — | 4 | 8 | no | — |
| 557 | #444 | — | 4 | 8 | no | — |
| 558 | #444 | — | 8 | 8 | no | — |
| 559 | #444 | — | 8 | 8 | no | — |
| 560 | #443 | — | 2 | 4 | no | — |
| 561 | #443 | — | 2 | 4 | no | — |
| 562 | #443 | — | 8 | 8 | no | — |
| 563 | #443 | — | 8 | 4 | no | — |
| 564 | #443 | — | 8 | 4 | no | — |
| 565 | #443 | — | 8 | 8 | no | — |
| 566 | #443 | C23×C4 | 1 | 8 | yes | — |
| 567 | #443 | C2×#41 | 1 | 8 | yes | — |
| 568 | #442 | — | 2 | 4 | no | — |
| 569 | #442 | — | 4 | 4 | no | — |
| 570 | #442 | — | 4 | 4 | no | — |
| 571 | #442 | — | 4 | 4 | no | — |
| 572 | #442 | — | 4 | 4 | no | — |
| 573 | #442 | — | 4 | 4 | no | — |
| 574 | #442 | — | 4 | 4 | no | — |
| 575 | #442 | — | 4 | 4 | no | — |
| 576 | #442 | — | 8 | 4 | no | — |
| 577 | #442 | — | 8 | 4 | no | — |
| 578 | #442 | — | 16 | 8 | no | — |
| 579 | #441 | — | 2 | 4 | no | — |
| 580 | #441 | — | 4 | 4 | no | — |
| 581 | #440 | — | 4 | 4 | no | — |
| 582 | #440 | — | 8 | 4 | no | — |
| 583 | #440 | — | 8 | 4 | no | — |
| 584 | C4×SD16 | — | 8 | 4 | no | — |
| 585 | C4×SD16 | — | 8 | 4 | no | — |
| 586 | C4×SD16 | — | 8 | 4 | no | — |
| 587 | C4×D8 | — | 8 | 2 | no | — |
| 588 | C4×D8 | — | 8 | 4 | no | — |
| 589 | C4×D8 | — | 8 | 4 | no | — |
| 590 | C4×D8 | — | 8 | 4 | no | — |
| 591 | #436 | — | 8 | 2 | no | — |
| 592 | C8×D4 | — | 8 | 2 | no | — |
| 593 | #430 | — | 4 | 4 | no | — |
| 594 | #430 | — | 8 | 4 | no | — |
| 595 | C2×#108 | — | 2 | 4 | no | — |
| 596 | C2×#108 | — | 4 | 8 | no | — |
| 597 | C2×#108 | C22×D4 | 1 | 4 | yes | — |
| 598 | C2×#108 | C22×D4 | 1 | 4 | yes | — |
| 599 | #428 | — | 4 | 4 | no | — |
| 600 | #428 | — | 8 | 4 | no | — |
| 601 | #427 | — | 4 | 4 | no | — |
| 602 | #427 | C22×D4 | 1 | 4 | yes | — |
| 603 | C2×#106 | — | 2 | 4 | no | — |
| 604 | C2×#106 | — | 4 | 4 | no | — |
| 605 | C2×#106 | — | 8 | 2 | no | — |
| 606 | #423 | — | 2 | 2 | no | — |
| 607 | #421 | — | 4 | 4 | no | — |
| 608 | #421 | — | 4 | 4 | no | — |
| 609 | #421 | — | 8 | 8 | no | — |
| 610 | C2×#104 | — | 2 | 4 | no | — |
| 611 | C2×#104 | — | 2 | 4 | no | — |
| 612 | C2×#104 | — | 4 | 4 | no | — |
| 613 | C2×#104 | — | 8 | 8 | no | — |
| 614 | #418 | — | 4 | 4 | no | — |
| 615 | #418 | — | 8 | 4 | no | — |
| 616 | #417 | — | 4 | 4 | no | — |
| 617 | #417 | — | 8 | 4 | no | — |
| 618 | #416 | — | 2 | 4 | no | — |
| 619 | #416 | — | 8 | 4 | no | — |
| 620 | C2×#102 | — | 4 | 4 | no | — |
| 621 | C2×#102 | — | 8 | 4 | no | — |
| 622 | C2×#102 | — | 8 | 4 | no | — |
| 623 | #413 | — | 4 | 2 | no | — |
| 624 | C2×#100 | — | 4 | 2 | no | — |
| 625 | C2×#100 | — | 4 | 2 | no | — |
| 626 | #410 | — | 4 | 2 | no | — |
| 627 | #408 | — | 4 | 2 | no | — |
| 628 | #405 | — | 2 | 4 | no | — |
| 629 | #405 | — | 2 | 4 | no | — |
| 630 | #405 | — | 4 | 4 | no | — |
| 631 | #405 | — | 4 | 4 | no | — |
| 632 | C4×M16 | — | 2 | 4 | no | — |
| 633 | C4×M16 | — | 4 | 4 | no | — |
| 634 | C2×#97 | — | 4 | 4 | no | — |
| 635 | C2×#97 | — | 4 | 2 | no | — |
| 636 | C2×#97 | C22×D4 | 1 | 4 | yes | — |
| 637 | C2×C4×C8 | — | 2 | 1 | no | — |
| 638 | C2×C4×C8 | — | 2 | 1 | no | — |
| 639 | C2×C4×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 640 | C2×C4×C8 | C25 | 1 | 1 | yes | characteristic |
| 641 | #390 | — | 4 | 2 | no | — |
| 642 | #390 | — | 8 | 2 | no | — |
| 643 | #384 | — | 2 | 2 | no | — |
| 644 | C43 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 645 | #368 | C4×D4 | 1 | 8 | yes | — |
| 646 | #365 | — | 2 | 8 | no | — |
| 647 | #365 | — | 4 | 4 | no | — |
| 648 | #365 | — | 4 | 4 | no | — |
| 649 | #365 | — | 4 | 8 | no | — |
| 650 | #365 | — | 4 | 8 | no | — |
| 651 | #365 | — | 8 | 4 | no | — |
| 652 | #364 | — | 2 | 4 | no | — |
| 653 | #364 | — | 2 | 4 | no | — |
| 654 | #364 | — | 2 | 4 | no | — |
| 655 | #364 | C23×C4 | 1 | 8 | yes | — |
| 656 | #362 | — | 2 | 4 | no | — |
| 657 | #362 | — | 2 | 8 | no | — |
| 658 | #362 | — | 4 | 4 | no | — |
| 659 | #361 | — | 2 | 4 | no | — |
| 660 | #361 | — | 2 | 16 | no | — |
| 661 | #361 | — | 2 | 8 | no | — |
| 662 | #361 | — | 4 | 8 | no | — |
| 663 | #361 | — | 4 | 8 | no | — |
| 664 | #361 | — | 4 | 4 | no | — |
| 665 | #361 | — | 8 | 4 | no | — |
| 666 | #360 | — | 2 | 8 | no | — |
| 667 | #360 | — | 4 | 4 | no | — |
| 668 | #360 | — | 4 | 4 | no | — |
| 669 | #360 | — | 4 | 8 | no | — |
| 670 | #360 | — | 4 | 8 | no | — |
| 671 | #360 | — | 8 | 4 | no | — |
| 672 | #359 | — | 8 | 4 | no | — |
| 673 | #359 | C4×D4 | 1 | 16 | yes | — |
| 674 | #357 | — | 8 | 4 | no | — |
| 675 | #350 | — | 2 | 16 | no | — |
| 676 | #350 | — | 4 | 8 | no | — |
| 677 | #347 | — | 2 | 8 | no | — |
| 678 | #347 | — | 4 | 4 | no | — |
| 679 | #347 | — | 4 | 4 | no | — |
| 680 | #347 | — | 4 | 4 | no | — |
| 681 | #347 | — | 4 | 8 | no | — |
| 682 | #347 | — | 4 | 8 | no | — |
| 683 | #346 | — | 2 | 2 | no | — |
| 684 | #346 | C2×#41 | 1 | 4 | yes | — |
| 685 | C4×C16 | — | 2 | 2 | no | — |
| 686 | C4×C16 | C23×C4 | 1 | 4 | yes | — |
| 687 | #344 | — | 4 | 4 | no | — |
| 688 | #343 | — | 4 | 4 | no | — |
| 689 | #341 | — | 2 | 4 | no | — |
| 690 | #339 | — | 2 | 4 | no | — |
| 691 | #339 | — | 2 | 4 | no | — |
| 692 | #334 | — | 8 | 2 | no | — |
| 693 | D4⋊C8 | — | 8 | 4 | no | — |
| 694 | #322 | — | 2 | 2 | no | — |
| 695 | #322 | — | 4 | 2 | no | — |
| 696 | C82 | — | 2 | 1 | no | — |
| 697 | C82 | C23×C4 | 1 | 1 | yes | characteristic |
| 698 | C82 | C23×C4 | 1 | 1 | yes | characteristic |
| 699 | 2−1+4 | — | 4 | 4 | no | — |
| 700 | 2−1+4 | — | 8 | 4 | no | — |
| 701 | H(5,𝔽2) | — | 4 | 8 | no | — |
| 702 | H(5,𝔽2) | — | 4 | 4 | no | — |
| 703 | H(5,𝔽2) | — | 8 | 4 | no | — |
| 704 | H(5,𝔽2) | — | 8 | 8 | no | — |
| 705 | H(5,𝔽2) | — | 16 | 2 | no | — |
| 706 | H(5,𝔽2) | — | 16 | 2 | no | — |
| 707 | C2×#41 | — | 2 | 4 | no | — |
| 708 | C2×#41 | — | 4 | 2 | no | — |
| 709 | C2×#41 | — | 8 | 4 | no | — |
| 710 | C2×#41 | — | 8 | 8 | no | — |
| 711 | C2×#41 | — | 16 | 2 | no | — |
| 712 | C22×D4 | — | 4 | 2 | no | — |
| 713 | C22×D4 | — | 8 | 2 | no | — |
| 714 | C22×D4 | — | 8 | 4 | no | — |
| 715 | C22×D4 | — | 16 | 2 | no | — |
| 716 | C23×C4 | — | 8 | 2 | no | — |
| 717 | C23×C4 | — | 16 | 2 | no | — |
| 718 | #137 | — | 4 | 8 | no | — |
| 719 | #137 | — | 8 | 8 | no | — |
| 720 | #137 | — | 8 | 8 | no | — |
| 721 | #137 | — | 8 | 4 | no | — |
| 722 | AGL(1,ℤ/8) | — | 4 | 16 | no | — |
| 723 | AGL(1,ℤ/8) | — | 4 | 8 | no | — |
| 724 | AGL(1,ℤ/8) | — | 8 | 8 | no | — |
| 725 | AGL(1,ℤ/8) | — | 8 | 16 | no | — |
| 726 | AGL(1,ℤ/8) | — | 8 | 8 | no | — |
| 727 | AGL(1,ℤ/8) | — | 8 | 16 | no | — |
| 728 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 729 | AGL(1,ℤ/8) | — | 8 | 8 | no | — |
| 730 | #135 | — | 2 | 4 | no | — |
| 731 | #135 | — | 2 | 4 | no | — |
| 732 | #135 | — | 4 | 16 | no | — |
| 733 | #135 | — | 4 | 8 | no | — |
| 734 | #135 | — | 4 | 8 | no | — |
| 735 | #135 | — | 4 | 4 | no | — |
| 736 | #135 | — | 4 | 4 | no | — |
| 737 | #135 | — | 4 | 4 | no | — |
| 738 | #135 | — | 4 | 4 | no | — |
| 739 | #135 | — | 8 | 8 | no | — |
| 740 | #135 | — | 8 | 8 | no | — |
| 741 | #135 | — | 8 | 8 | no | — |
| 742 | #135 | C2×C4×D4 | 1 | 8 | yes | — |
| 743 | #135 | C2×AGL(1,ℤ/8) | 1 | 8 | yes | — |
| 744 | C2×Q16 | — | 2 | 4 | no | — |
| 745 | C2×Q16 | — | 4 | 8 | no | — |
| 746 | C2×Q16 | C2×AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 747 | C2×SD16 | — | 2 | 4 | no | — |
| 748 | C2×SD16 | — | 4 | 4 | no | — |
| 749 | C2×SD16 | — | 8 | 8 | no | — |
| 750 | C2×SD16 | — | 8 | 4 | no | — |
| 751 | C2×D8 | — | 2 | 8 | no | — |
| 752 | C2×D8 | — | 2 | 4 | no | — |
| 753 | C2×D8 | — | 4 | 16 | no | — |
| 754 | C2×D8 | — | 4 | 8 | no | — |
| 755 | C2×D8 | — | 4 | 4 | no | — |
| 756 | C2×D8 | — | 4 | 4 | no | — |
| 757 | C2×D8 | — | 4 | 4 | no | — |
| 758 | C2×D8 | — | 4 | 4 | no | — |
| 759 | C2×D8 | — | 4 | 4 | no | — |
| 760 | C2×D8 | — | 8 | 4 | no | — |
| 761 | C2×D8 | — | 8 | 4 | no | — |
| 762 | C2×D8 | — | 8 | 2 | no | — |
| 763 | C2×D8 | — | 8 | 8 | no | — |
| 764 | C2×D8 | — | 8 | 4 | no | — |
| 765 | C2×D8 | — | 16 | 4 | no | — |
| 766 | C2×D8 | — | 16 | 4 | no | — |
| 767 | C2×D8 | C2×AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 768 | #131 | — | 2 | 8 | no | — |
| 769 | #131 | — | 2 | 8 | no | — |
| 770 | #131 | — | 4 | 8 | no | — |
| 771 | #131 | — | 4 | 4 | no | — |
| 772 | #131 | — | 4 | 4 | no | — |
| 773 | #131 | — | 8 | 4 | no | — |
| 774 | #131 | — | 8 | 4 | no | — |
| 775 | #131 | — | 8 | 4 | no | — |
| 776 | #131 | — | 8 | 8 | no | — |
| 777 | #131 | — | 8 | 8 | no | — |
| 778 | #131 | — | 16 | 4 | no | — |
| 779 | #131 | — | 16 | 4 | no | — |
| 780 | #131 | — | 16 | 8 | no | — |
| 781 | #131 | — | 16 | 4 | no | — |
| 782 | C2×M16 | — | 2 | 4 | no | — |
| 783 | C2×M16 | — | 2 | 4 | no | — |
| 784 | C2×M16 | — | 4 | 4 | no | — |
| 785 | C2×M16 | — | 4 | 4 | no | — |
| 786 | C2×M16 | — | 4 | 2 | no | — |
| 787 | C2×M16 | — | 8 | 2 | no | — |
| 788 | C2×M16 | — | 8 | 8 | no | — |
| 789 | C2×M16 | — | 16 | 8 | no | — |
| 790 | C2×M16 | — | 16 | 2 | no | — |
| 791 | C2×M16 | — | 16 | 4 | no | — |
| 792 | C22×C8 | — | 2 | 2 | no | — |
| 793 | C22×C8 | — | 4 | 4 | no | — |
| 794 | C22×C8 | — | 4 | 4 | no | — |
| 795 | C22×C8 | — | 4 | 1 | no | — |
| 796 | C22×C8 | — | 8 | 2 | no | — |
| 797 | C22×C8 | — | 16 | 4 | no | — |
| 798 | C22×C8 | D42 | 1 | 2 | yes | — |
| 799 | C22×C8 | C23×D4 | 1 | 2 | yes | — |
| 800 | C4⋊Q8 | — | 2 | 2 | no | — |
| 801 | #127 | — | 2 | 4 | no | — |
| 802 | #127 | — | 2 | 2 | no | — |
| 803 | #127 | — | 4 | 2 | no | — |
| 804 | #127 | — | 8 | 2 | no | — |
| 805 | #124 | — | 4 | 2 | no | — |
| 806 | #121 | — | 8 | 2 | no | — |
| 807 | C4×Q8 | — | 4 | 4 | no | — |
| 808 | C4×Q8 | — | 8 | 4 | no | — |
| 809 | C4×D4 | — | 4 | 4 | no | — |
| 810 | C4×D4 | — | 8 | 2 | no | — |
| 811 | C4×D4 | — | 8 | 4 | no | — |
| 812 | C4×D4 | — | 8 | 4 | no | — |
| 813 | C4×D4 | — | 8 | 4 | no | — |
| 814 | C4×D4 | — | 8 | 4 | no | — |
| 815 | C4×D4 | — | 8 | 4 | no | — |
| 816 | C4×D4 | — | 8 | 4 | no | — |
| 817 | C4×D4 | — | 16 | 4 | no | — |
| 818 | C4×D4 | — | 16 | 4 | no | — |
| 819 | C4×D4 | — | 16 | 8 | no | — |
| 820 | C4×D4 | — | 16 | 4 | no | — |
| 821 | C4×D4 | — | 16 | 4 | no | — |
| 822 | C4×D4 | — | 16 | 4 | no | — |
| 823 | #117 | — | 2 | 4 | no | — |
| 824 | #117 | — | 4 | 4 | no | — |
| 825 | #117 | — | 8 | 4 | no | — |
| 826 | #117 | — | 16 | 4 | no | — |
| 827 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 828 | C2×C4⋊C4 | — | 8 | 4 | no | — |
| 829 | C2×C4⋊C4 | — | 8 | 2 | no | — |
| 830 | C2×C4⋊C4 | — | 16 | 2 | no | — |
| 831 | C2×C22⋊C4 | — | 8 | 2 | no | — |
| 832 | C2×C22⋊C4 | — | 16 | 2 | no | — |
| 833 | C2×C22⋊C4 | — | 16 | 2 | no | — |
| 834 | C2×C22⋊C4 | — | 16 | 4 | no | — |
| 835 | C2×C22⋊C4 | — | 16 | 2 | no | — |
| 836 | C2×C42 | — | 4 | 4 | no | — |
| 837 | C2×C42 | — | 4 | 1 | no | — |
| 838 | C2×C42 | — | 16 | 2 | no | — |
| 839 | C2×C42 | D42 | 1 | 2 | yes | — |
| 840 | C2×C42 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 841 | Q32 | — | 4 | 8 | no | — |
| 842 | Q32 | #442 | 1 | 8 | yes | complemented |
| 843 | SD32 | — | 4 | 16 | no | — |
| 844 | SD32 | — | 4 | 8 | no | — |
| 845 | SD32 | — | 4 | 8 | no | — |
| 846 | SD32 | — | 4 | 16 | no | — |
| 847 | SD32 | — | 8 | 8 | no | — |
| 848 | SD32 | #442 | 1 | 16 | yes | complemented |
| 849 | D16 | — | 4 | 8 | no | — |
| 850 | D16 | — | 4 | 16 | no | — |
| 851 | D16 | — | 4 | 16 | no | — |
| 852 | D16 | — | 8 | 8 | no | — |
| 853 | D16 | #442 | 1 | 8 | yes | complemented |
| 854 | M32 | — | 2 | 4 | no | — |
| 855 | M32 | — | 2 | 4 | no | — |
| 856 | M32 | — | 2 | 8 | no | — |
| 857 | M32 | — | 2 | 4 | no | — |
| 858 | M32 | — | 4 | 4 | no | — |
| 859 | M32 | — | 4 | 16 | no | — |
| 860 | M32 | — | 4 | 4 | no | — |
| 861 | M32 | — | 4 | 4 | no | — |
| 862 | M32 | — | 8 | 8 | no | — |
| 863 | M32 | C2×AGL(1,ℤ/8) | 1 | 8 | yes | — |
| 864 | C2×C16 | — | 2 | 4 | no | — |
| 865 | C2×C16 | — | 4 | 4 | no | — |
| 866 | C2×C16 | — | 4 | 16 | no | — |
| 867 | C2×C16 | — | 4 | 4 | no | — |
| 868 | C2×C16 | — | 8 | 8 | no | — |
| 869 | C2×C16 | C2×C4×D4 | 1 | 4 | yes | — |
| 870 | C2×C16 | C2×C4×D4 | 1 | 4 | yes | — |
| 871 | #108 | — | 2 | 4 | no | — |
| 872 | #108 | — | 2 | 4 | no | — |
| 873 | #108 | — | 2 | 4 | no | — |
| 874 | #108 | — | 4 | 4 | no | — |
| 875 | #108 | — | 4 | 4 | no | — |
| 876 | #108 | — | 8 | 8 | no | — |
| 877 | #108 | C2×C4×D4 | 1 | 8 | yes | — |
| 878 | #107 | — | 2 | 4 | no | — |
| 879 | #107 | — | 8 | 4 | no | — |
| 880 | #107 | — | 8 | 2 | no | — |
| 881 | #106 | — | 2 | 4 | no | — |
| 882 | #106 | — | 4 | 4 | no | — |
| 883 | #106 | — | 4 | 4 | no | — |
| 884 | #106 | — | 8 | 4 | no | — |
| 885 | #106 | — | 16 | 4 | no | — |
| 886 | C4⋊C8 | — | 8 | 2 | no | — |
| 887 | #104 | — | 2 | 8 | no | — |
| 888 | #104 | — | 2 | 8 | no | — |
| 889 | #104 | — | 4 | 8 | no | — |
| 890 | #104 | — | 8 | 4 | no | — |
| 891 | #104 | — | 8 | 4 | no | — |
| 892 | #104 | — | 8 | 8 | no | — |
| 893 | #104 | — | 8 | 8 | no | — |
| 894 | #103 | — | 4 | 4 | no | — |
| 895 | #103 | — | 8 | 4 | no | — |
| 896 | #102 | — | 4 | 4 | no | — |
| 897 | #102 | — | 8 | 4 | no | — |
| 898 | #102 | — | 8 | 4 | no | — |
| 899 | #102 | — | 8 | 4 | no | — |
| 900 | #102 | — | 8 | 4 | no | — |
| 901 | #102 | — | 8 | 4 | no | — |
| 902 | #102 | — | 8 | 4 | no | — |
| 903 | #102 | — | 16 | 8 | no | — |
| 904 | #101 | — | 4 | 4 | no | — |
| 905 | #100 | — | 4 | 8 | no | — |
| 906 | #100 | — | 4 | 4 | no | — |
| 907 | #100 | — | 16 | 2 | no | — |
| 908 | #99 | — | 16 | 2 | no | — |
| 909 | C22⋊C8 | — | 16 | 2 | no | — |
| 910 | #97 | — | 2 | 4 | no | — |
| 911 | #97 | — | 2 | 4 | no | — |
| 912 | #97 | — | 4 | 4 | no | — |
| 913 | #97 | — | 4 | 4 | no | — |
| 914 | #97 | — | 4 | 4 | no | — |
| 915 | #97 | — | 8 | 4 | no | — |
| 916 | C4×C8 | — | 2 | 2 | no | — |
| 917 | C4×C8 | — | 2 | 1 | no | — |
| 918 | C4×C8 | — | 2 | 1 | no | — |
| 919 | C4×C8 | — | 4 | 1 | no | — |
| 920 | C4×C8 | — | 4 | 4 | no | — |
| 921 | C4×C8 | — | 4 | 1 | no | — |
| 922 | C4×C8 | — | 4 | 4 | no | — |
| 923 | C4×C8 | — | 4 | 4 | no | — |
| 924 | C4×C8 | — | 4 | 1 | no | — |
| 925 | C4×C8 | C24×C4 | 1 | 1 | yes | characteristic |
| 926 | C4×C8 | C22×#41 | 1 | 2 | yes | — |
| 927 | C4×C8 | #585 | 1 | 1 | yes | characteristic |
| 928 | C24 | — | 8 | 2 | no | — |
| 929 | C24 | — | 16 | 2 | no | — |
| 930 | #41 | — | 2 | 8 | no | — |
| 931 | #41 | — | 2 | 8 | no | — |
| 932 | #41 | — | 4 | 4 | no | — |
| 933 | #41 | — | 4 | 4 | no | — |
| 934 | #41 | — | 8 | 8 | no | — |
| 935 | #41 | — | 8 | 16 | no | — |
| 936 | #41 | — | 8 | 8 | no | — |
| 937 | #41 | — | 8 | 4 | no | — |
| 938 | #41 | — | 8 | 4 | no | — |
| 939 | #41 | — | 16 | 4 | no | — |
| 940 | #41 | — | 16 | 8 | no | — |
| 941 | #41 | — | 16 | 8 | no | — |
| 942 | #41 | — | 16 | 4 | no | — |
| 943 | #41 | — | 16 | 4 | no | — |
| 944 | C2×Q8 | — | 2 | 4 | no | — |
| 945 | C2×Q8 | — | 4 | 2 | no | — |
| 946 | C2×Q8 | — | 8 | 8 | no | — |
| 947 | C2×Q8 | — | 16 | 2 | no | — |
| 948 | C2×D4 | — | 2 | 4 | no | — |
| 949 | C2×D4 | — | 4 | 4 | no | — |
| 950 | C2×D4 | — | 4 | 2 | no | — |
| 951 | C2×D4 | — | 4 | 4 | no | — |
| 952 | C2×D4 | — | 8 | 2 | no | — |
| 953 | C2×D4 | — | 8 | 4 | no | — |
| 954 | C2×D4 | — | 8 | 16 | no | — |
| 955 | C2×D4 | — | 8 | 8 | no | — |
| 956 | C2×D4 | — | 8 | 2 | no | — |
| 957 | C2×D4 | — | 8 | 4 | no | — |
| 958 | C2×D4 | — | 8 | 4 | no | — |
| 959 | C2×D4 | — | 8 | 2 | no | — |
| 960 | C2×D4 | — | 16 | 2 | no | — |
| 961 | C2×D4 | — | 16 | 8 | no | — |
| 962 | C2×D4 | — | 16 | 4 | no | — |
| 963 | C2×D4 | — | 16 | 4 | no | — |
| 964 | C2×D4 | — | 16 | 4 | no | — |
| 965 | C2×D4 | — | 16 | 8 | no | — |
| 966 | C2×D4 | — | 16 | 4 | no | — |
| 967 | C2×D4 | — | 16 | 8 | no | — |
| 968 | C2×D4 | — | 16 | 2 | no | — |
| 969 | C2×D4 | — | 16 | 8 | no | — |
| 970 | C22×C4 | — | 2 | 1 | no | — |
| 971 | C22×C4 | — | 2 | 2 | no | — |
| 972 | C22×C4 | — | 4 | 4 | no | — |
| 973 | C22×C4 | — | 8 | 4 | no | — |
| 974 | C22×C4 | — | 8 | 2 | no | — |
| 975 | C22×C4 | — | 8 | 2 | no | — |
| 976 | C22×C4 | — | 16 | 2 | no | — |
| 977 | C22×C4 | — | 16 | 4 | no | — |
| 978 | C22×C4 | — | 16 | 2 | no | — |
| 979 | C22×C4 | — | 16 | 2 | no | — |
| 980 | C22×C4 | — | 16 | 2 | no | — |
| 981 | C22×C4 | — | 16 | 2 | no | — |
| 982 | C22×C4 | — | 16 | 4 | no | — |
| 983 | C22×C4 | — | 32 | 4 | no | — |
| 984 | C22×C4 | — | 64 | 4 | no | — |
| 985 | C22×C4 | C2×D42 | 1 | 1 | yes | characteristic |
| 986 | Q16 | — | 2 | 4 | no | — |
| 987 | Q16 | — | 4 | 4 | no | — |
| 988 | Q16 | — | 4 | 4 | no | — |
| 989 | Q16 | — | 8 | 8 | no | — |
| 990 | Q16 | C2×#442 | 1 | 8 | yes | — |
| 991 | SD16 | — | 2 | 8 | no | — |
| 992 | SD16 | — | 2 | 8 | no | — |
| 993 | SD16 | — | 8 | 8 | no | — |
| 994 | SD16 | — | 8 | 16 | no | — |
| 995 | SD16 | — | 8 | 8 | no | — |
| 996 | SD16 | — | 8 | 4 | no | — |
| 997 | SD16 | — | 8 | 4 | no | — |
| 998 | D8 | — | 2 | 4 | no | — |
| 999 | D8 | — | 4 | 4 | no | — |
| 1000 | D8 | — | 4 | 8 | no | — |
| 1001 | D8 | — | 4 | 4 | no | — |
| 1002 | D8 | — | 4 | 8 | no | — |
| 1003 | D8 | — | 8 | 16 | no | — |
| 1004 | D8 | — | 8 | 8 | no | — |
| 1005 | D8 | — | 8 | 4 | no | — |
| 1006 | D8 | — | 8 | 4 | no | — |
| 1007 | D8 | — | 16 | 4 | no | — |
| 1008 | D8 | — | 16 | 8 | no | — |
| 1009 | D8 | — | 16 | 8 | no | — |
| 1010 | D8 | C2×#442 | 1 | 8 | yes | — |
| 1011 | M16 | — | 2 | 8 | no | — |
| 1012 | M16 | — | 4 | 4 | no | — |
| 1013 | M16 | — | 4 | 8 | no | — |
| 1014 | M16 | — | 4 | 8 | no | — |
| 1015 | M16 | — | 4 | 4 | no | — |
| 1016 | M16 | — | 4 | 4 | no | — |
| 1017 | M16 | — | 8 | 8 | no | — |
| 1018 | M16 | — | 8 | 4 | no | — |
| 1019 | M16 | — | 16 | 4 | no | — |
| 1020 | M16 | — | 16 | 4 | no | — |
| 1021 | M16 | — | 16 | 8 | no | — |
| 1022 | C2×C8 | — | 2 | 2 | no | — |
| 1023 | C2×C8 | — | 2 | 2 | no | — |
| 1024 | C2×C8 | — | 2 | 4 | no | — |
| 1025 | C2×C8 | — | 2 | 2 | no | — |
| 1026 | C2×C8 | — | 4 | 4 | no | — |
| 1027 | C2×C8 | — | 4 | 4 | no | — |
| 1028 | C2×C8 | — | 4 | 8 | no | — |
| 1029 | C2×C8 | — | 4 | 8 | no | — |
| 1030 | C2×C8 | — | 4 | 4 | no | — |
| 1031 | C2×C8 | — | 8 | 8 | no | — |
| 1032 | C2×C8 | — | 8 | 1 | no | — |
| 1033 | C2×C8 | — | 8 | 2 | no | — |
| 1034 | C2×C8 | — | 8 | 2 | no | — |
| 1035 | C2×C8 | — | 16 | 2 | no | — |
| 1036 | C2×C8 | — | 16 | 2 | no | — |
| 1037 | C2×C8 | — | 16 | 4 | no | — |
| 1038 | C2×C8 | — | 16 | 8 | no | — |
| 1039 | C2×C8 | C22×C4×D4 | 1 | 2 | yes | — |
| 1040 | C2×C8 | D4×#41 | 1 | 2 | yes | — |
| 1041 | C2×C8 | C22×AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 1042 | C2×C8 | #3585 | 1 | 4 | yes | — |
| 1043 | C4⋊C4 | — | 4 | 4 | no | — |
| 1044 | C4⋊C4 | — | 8 | 2 | no | — |
| 1045 | C4⋊C4 | — | 8 | 4 | no | — |
| 1046 | C4⋊C4 | — | 8 | 4 | no | — |
| 1047 | C4⋊C4 | — | 16 | 4 | no | — |
| 1048 | C4⋊C4 | — | 16 | 4 | no | — |
| 1049 | C22⋊C4 | — | 4 | 4 | no | — |
| 1050 | C22⋊C4 | — | 8 | 4 | no | — |
| 1051 | C22⋊C4 | — | 16 | 2 | no | — |
| 1052 | C22⋊C4 | — | 16 | 4 | no | — |
| 1053 | C22⋊C4 | — | 16 | 4 | no | — |
| 1054 | C22⋊C4 | — | 16 | 4 | no | — |
| 1055 | C22⋊C4 | — | 32 | 4 | no | — |
| 1056 | C42 | — | 2 | 1 | no | — |
| 1057 | C42 | — | 2 | 4 | no | — |
| 1058 | C42 | — | 4 | 4 | no | — |
| 1059 | C42 | — | 8 | 4 | no | — |
| 1060 | C42 | — | 8 | 2 | no | — |
| 1061 | C42 | — | 16 | 4 | no | — |
| 1062 | C42 | C4×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1063 | C42 | #3481 | 1 | 1 | yes | characteristic |
| 1064 | C16 | — | 2 | 4 | no | — |
| 1065 | C16 | — | 4 | 4 | no | — |
| 1066 | C16 | — | 4 | 8 | no | — |
| 1067 | C16 | — | 8 | 4 | no | — |
| 1068 | C16 | C2×#442 | 1 | 8 | yes | — |
| 1069 | C23 | — | 4 | 4 | no | — |
| 1070 | C23 | — | 8 | 2 | no | — |
| 1071 | C23 | — | 8 | 4 | no | — |
| 1072 | C23 | — | 16 | 4 | no | — |
| 1073 | C23 | — | 16 | 8 | no | — |
| 1074 | C23 | — | 16 | 2 | no | — |
| 1075 | C23 | — | 16 | 2 | no | — |
| 1076 | C23 | — | 32 | 2 | no | — |
| 1077 | C23 | — | 32 | 2 | no | — |
| 1078 | C23 | — | 64 | 2 | no | — |
| 1079 | C23 | — | 64 | 2 | no | — |
| 1080 | C23 | #61110 | 1 | 1 | yes | characteristic |
| 1081 | Q8 | — | 2 | 8 | no | — |
| 1082 | Q8 | — | 4 | 4 | no | — |
| 1083 | Q8 | — | 8 | 4 | no | — |
| 1084 | Q8 | — | 16 | 4 | no | — |
| 1085 | D4 | — | 2 | 8 | no | — |
| 1086 | D4 | — | 4 | 8 | no | — |
| 1087 | D4 | — | 4 | 8 | no | — |
| 1088 | D4 | — | 4 | 4 | no | — |
| 1089 | D4 | — | 8 | 8 | no | — |
| 1090 | D4 | — | 8 | 4 | no | — |
| 1091 | D4 | — | 16 | 8 | no | — |
| 1092 | D4 | — | 16 | 4 | no | — |
| 1093 | D4 | — | 16 | 16 | no | — |
| 1094 | D4 | — | 16 | 8 | no | — |
| 1095 | D4 | — | 16 | 4 | no | — |
| 1096 | D4 | — | 16 | 4 | no | — |
| 1097 | D4 | — | 16 | 4 | no | — |
| 1098 | D4 | — | 32 | 4 | no | — |
| 1099 | C2×C4 | — | 2 | 1 | no | — |
| 1100 | C2×C4 | — | 2 | 1 | no | — |
| 1101 | C2×C4 | — | 4 | 2 | no | — |
| 1102 | C2×C4 | — | 4 | 4 | no | — |
| 1103 | C2×C4 | — | 4 | 8 | no | — |
| 1104 | C2×C4 | — | 4 | 8 | no | — |
| 1105 | C2×C4 | — | 4 | 2 | no | — |
| 1106 | C2×C4 | — | 8 | 2 | no | — |
| 1107 | C2×C4 | — | 8 | 2 | no | — |
| 1108 | C2×C4 | — | 8 | 4 | no | — |
| 1109 | C2×C4 | — | 16 | 8 | no | — |
| 1110 | C2×C4 | — | 16 | 4 | no | — |
| 1111 | C2×C4 | — | 16 | 8 | no | — |
| 1112 | C2×C4 | — | 16 | 2 | no | — |
| 1113 | C2×C4 | — | 16 | 2 | no | — |
| 1114 | C2×C4 | — | 16 | 2 | no | — |
| 1115 | C2×C4 | — | 32 | 4 | no | — |
| 1116 | C2×C4 | — | 32 | 4 | no | — |
| 1117 | C2×C4 | — | 32 | 2 | no | — |
| 1118 | C2×C4 | — | 64 | 2 | no | — |
| 1119 | C2×C4 | — | 64 | 2 | no | — |
| 1120 | C2×C4 | — | 64 | 2 | no | — |
| 1121 | C2×C4 | — | 64 | 4 | no | — |
| 1122 | C2×C4 | C4×D42 | 1 | 1 | yes | characteristic |
| 1123 | C2×C4 | D4×AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 1124 | C2×C4 | #61110 | 1 | 1 | yes | characteristic |
| 1125 | C8 | — | 2 | 4 | no | — |
| 1126 | C8 | — | 4 | 2 | no | — |
| 1127 | C8 | — | 4 | 2 | no | — |
| 1128 | C8 | — | 4 | 8 | no | — |
| 1129 | C8 | — | 8 | 4 | no | — |
| 1130 | C8 | — | 16 | 1 | no | — |
| 1131 | C8 | — | 16 | 2 | no | — |
| 1132 | C8 | C22×#442 | 1 | 2 | yes | — |
| 1133 | C8 | #60176 | 1 | 2 | yes | — |
| 1134 | C8 | #61451 | 1 | 4 | yes | — |
| 1135 | C22 | — | 4 | 1 | no | — |
| 1136 | C22 | — | 4 | 8 | no | — |
| 1137 | C22 | — | 16 | 4 | no | — |
| 1138 | C22 | — | 16 | 2 | no | — |
| 1139 | C22 | — | 16 | 4 | no | — |
| 1140 | C22 | — | 32 | 4 | no | — |
| 1141 | C22 | — | 32 | 2 | no | — |
| 1142 | C22 | — | 32 | 2 | no | — |
| 1143 | C22 | — | 32 | 2 | no | — |
| 1144 | C22 | — | 64 | 2 | no | — |
| 1145 | C22 | — | 64 | 4 | no | — |
| 1146 | C22 | — | 64 | 8 | no | — |
| 1147 | C22 | #6362966 | 1 | 2 | yes | — |
| 1148 | C22 | #6383881 | 1 | 1 | yes | characteristic |
| 1149 | C4 | — | 2 | 2 | no | — |
| 1150 | C4 | — | 4 | 1 | no | — |
| 1151 | C4 | — | 4 | 8 | no | — |
| 1152 | C4 | — | 8 | 2 | no | — |
| 1153 | C4 | — | 16 | 4 | no | — |
| 1154 | C4 | — | 16 | 2 | no | — |
| 1155 | C4 | — | 32 | 2 | no | — |
| 1156 | C4 | #6362966 | 1 | 2 | yes | — |
| 1157 | C4 | D4×#442 | 1 | 2 | yes | — |
| 1158 | C2 | — | 2 | 1 | no | — |
| 1159 | C2 | — | 2 | 2 | no | — |
| 1160 | C2 | — | 8 | 8 | no | — |
| 1161 | C2 | — | 32 | 4 | no | — |
| 1162 | C2 | — | 32 | 2 | no | — |
| 1163 | C2 | #72214525 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | #72214525 |
| commutator | C4×C8 | C24×C4 |
| Frattini, cosocle | C2×C4×C8 | C25 |
| prime radical | #72214134 | C2 |
| LCS | G ▷ C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C22×C4 ◁ C4×#97 ◁ G | |
| LECS | G ▷ C2×C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72214332 | C2 | semidirect |
| 2. #72214308 | C2 | semidirect |
| 3. #72214250 | C2 | semidirect |
| 4. #72214217 | C2 | semidirect |
| 5. #72214178 | C2 | semidirect |
| 6. #72214153 | C2 | semidirect |
| 8. #72214124 | C2 | semidirect |
| 9. #72214092 | C2 | semidirect |
| 10. #72214066 | C2 | semidirect |
| 11. #72214039 | C2 | semidirect |
| 12. #72213983 | C2 | semidirect |
| 13. #72213969 | C2 | semidirect |
| 16. #6383888 | C22 | semidirect |
| 17. #6383881 | C22 | semidirect |
| 18. #498582 | C22 | semidirect |
| 20. #498342 | C22 | semidirect |
| 21. #498338 | C22 | semidirect |
| 25. #497838 | C22 | semidirect |
| 27. #497410 | C22 | semidirect |
| 28. #497408 | C22 | semidirect |
| 29. #496124 | C22 | semidirect |
| 31. #495854 | C22 | semidirect |
| 32. #495850 | C22 | semidirect |
| 36. #493226 | C22 | semidirect |
| 37. #492532 | C4 | semidirect |
| 38. #492531 | C4 | semidirect |
| 39. #492528 | C4 | semidirect |
| 46. #213274 | C22 | semidirect |
| 47. #212918 | C22 | semidirect |
| 48. #141758 | C22 | semidirect |
| 49. #141754 | C22 | semidirect |
| 50. #141751 | C22 | semidirect |
| 51. #141301 | C22 | semidirect |
| 52. #140467 | C22 | semidirect |
| 53. #140289 | C22 | semidirect |
| 54. #140287 | C22 | semidirect |
| 55. #138661 | C22 | semidirect |
| 56. #138660 | C22 | semidirect |
| 57. #137551 | C22 | semidirect |
| 58. #137550 | C22 | semidirect |
| 59. #136870 | C22 | semidirect |
| 60. #136868 | C22 | semidirect |
| 61. #136539 | C22 | semidirect |
| 62. #136537 | C22 | semidirect |
| 63. #136363 | C22 | semidirect |
| 64. #136361 | C22 | semidirect |
| 65. #135758 | C22 | semidirect |
| 66. #134947 | C22 | semidirect |
| 67. #131839 | C22 | semidirect |
| 68. #131837 | C22 | semidirect |
| 69. #129173 | C22 | semidirect |
| 70. #129159 | C22 | semidirect |
| 71. #129125 | C22 | semidirect |
| 72. #128919 | C22 | semidirect |
| 73. #128916 | C22 | semidirect |
| 74. #128726 | C22 | semidirect |
| 75. #128714 | C22 | semidirect |
| 76. #128570 | C22 | semidirect |
| 77. #126544 | C22 | semidirect |
| 83. #33858 | C2×C4 | semidirect |
| 84. #33856 | C2×C4 | semidirect |
| 183. #12519 | C2×C4 | semidirect |
| 184. #12517 | C2×C4 | semidirect |
| 185. #12515 | C2×C4 | semidirect |
| 186. #12438 | C2×C4 | semidirect |
| 187. #12436 | C2×C4 | semidirect |
| 188. #12313 | C2×C4 | semidirect |
| 189. #12312 | C2×C4 | semidirect |
| 190. #12311 | C2×C4 | semidirect |
| 191. #12310 | C2×C4 | semidirect |
| 192. #12310 | C2×C4 | semidirect |
| 193. #12310 | C2×C4 | semidirect |
| 195. #12047 | C2×C4 | semidirect |
| 196. #12046 | C2×C4 | semidirect |
| 241. #3292 | C22×C4 | semidirect |
| 284. #2248 | C22×C4 | semidirect |
| 285. #2246 | C22×C4 | semidirect |
| 288. #2214 | C22×C4 | semidirect |
| 291. #2213 | C22×C4 | semidirect |
| 322. #2170 | C22×C4 | semidirect |
| 402. #1713 | C22×C4 | semidirect |
| 406. #1712 | C22×C4 | semidirect |
| 407. #1709 | C22×C4 | semidirect |
| 427. #1373 | C22×C4 | semidirect |
| 430. #1358 | C22×C4 | semidirect |
| 432. #1357 | C22×C4 | semidirect |
| 433. #1357 | C22×C4 | semidirect |
| 435. #1335 | C22×C4 | semidirect |
| 436. #1335 | C22×C4 | semidirect |
| 439. #1311 | C22×C4 | semidirect |
| 440. C8×C16 | C22×C4 | semidirect |
| 842. Q32 | #442 | semidirect |
| 848. SD32 | #442 | semidirect |
| 853. D16 | #442 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72214332 | 2 |
| #72214308 | 2 |
| #72214250 | 2 |
| #72214217 | 2 |
| #72214178 | 2 |
| #72214153 | 2 |
| #72214134 | 2 |
| #72214124 | 2 |
| #72214092 | 2 |
| #72214066 | 2 |
| #72214039 | 2 |
| #72213983 | 2 |
| #72213969 | 2 |